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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP265_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 : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:32:22 AM UTC 2026

% Result   : Theorem 28.83s 6.20s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   64 (  26 unt;   0 typ;   2 def)
%            Number of atoms       :  129 (  37 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  125 (  60   ~;  45   |;  11   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :  391 ( 390 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  916 ( 914 usr;   4 prp; 0-5 aty)
%            Number of functors    : 3149 (3149 usr; 602 con; 0-8 aty)
%            Number of variables   :   62 (   0 sgn  58   !;   4   ?;  62   :)

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

tff(type_def_6,type,
    fun_Pr7015759342434529115eger_o: $tType ).

tff(type_def_7,type,
    produc2453742332425399446nteger: $tType ).

tff(type_def_8,type,
    produc3739950874144486240at_nat: $tType ).

tff(type_def_9,type,
    fun_fu7695273699059480439eger_o: $tType ).

tff(type_def_10,type,
    fun_Pr3540825087398332590_int_o: $tType ).

tff(type_def_11,type,
    produc3043004577601930755nt_int: $tType ).

tff(type_def_12,type,
    fun_fu6865642474282033866_int_o: $tType ).

tff(type_def_13,type,
    fun_fu15390479812311035omplex: $tType ).

tff(type_def_14,type,
    fun_fu7234941744988193529t_real: $tType ).

tff(type_def_15,type,
    fun_fu6383124537394581533et_nat: $tType ).

tff(type_def_16,type,
    fun_fu1569576118606662777et_int: $tType ).

tff(type_def_17,type,
    fun_Pr1347628893830317649eger_o: $tType ).

tff(type_def_18,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_19,type,
    produc7509114972854644512nteger: $tType ).

tff(type_def_20,type,
    fun_fu3422731660242565741eger_o: $tType ).

tff(type_def_21,type,
    fun_fu5523889554619339274omplex: $tType ).

tff(type_def_22,type,
    fun_Pr5098669352780829690e_term: $tType ).

tff(type_def_23,type,
    fun_Pr1196100989263358594_int_o: $tType ).

tff(type_def_24,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_25,type,
    fun_Pr7763680713840462443e_term: $tType ).

tff(type_def_26,type,
    produc4788131091073775919nt_int: $tType ).

tff(type_def_27,type,
    fun_fu2978539155105838238_int_o: $tType ).

tff(type_def_28,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_29,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_30,type,
    produc7004362771917097900on_nat: $tType ).

tff(type_def_31,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_32,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_33,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_34,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_35,type,
    produc50614890452615238on_num: $tType ).

tff(type_def_36,type,
    produc1615844007061411358on_nat: $tType ).

tff(type_def_37,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_38,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_39,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_40,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_41,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_42,type,
    fun_fu8084223252616112272omplex: $tType ).

tff(type_def_43,type,
    fun_fu2142003765521078979plex_o: $tType ).

tff(type_def_44,type,
    fun_se4767462807232413326_int_o: $tType ).

tff(type_def_45,type,
    fun_fu3068557634114553409_int_o: $tType ).

tff(type_def_46,type,
    fun_fu7523448966510524487plex_o: $tType ).

tff(type_def_47,type,
    fun_fu8998703528969179354omplex: $tType ).

tff(type_def_48,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_49,type,
    fun_fu9068519094125542729real_o: $tType ).

tff(type_def_50,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_51,type,
    fun_Co3460408610320954864e_term: $tType ).

tff(type_def_52,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_53,type,
    fun_fu6433034133342731997_nat_o: $tType ).

tff(type_def_54,type,
    fun_fu3930813892005118153_int_o: $tType ).

tff(type_def_55,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_56,type,
    fun_op7326680082016885773_nat_o: $tType ).

tff(type_def_57,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_58,type,
    fun_op3832135881594366065_nat_o: $tType ).

tff(type_def_59,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_60,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_61,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_62,type,
    fun_Pr910175051118075538omplex: $tType ).

tff(type_def_63,type,
    fun_fu5533088652784741581real_o: $tType ).

tff(type_def_64,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_65,type,
    fun_fu5587483295140630005real_o: $tType ).

tff(type_def_66,type,
    fun_Pr2183138248833747856t_real: $tType ).

tff(type_def_67,type,
    fun_fu3306995184869731826t_real: $tType ).

tff(type_def_68,type,
    fun_se2100927751953696370t_real: $tType ).

tff(type_def_69,type,
    fun_fu6813129056075673441_nat_o: $tType ).

tff(type_def_70,type,
    fun_fu4228744305898656589_int_o: $tType ).

tff(type_def_71,type,
    fun_Pr6405077315951356852et_nat: $tType ).

tff(type_def_72,type,
    fun_Pr3914994171019630096et_int: $tType ).

tff(type_def_73,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_74,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_75,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_76,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_77,type,
    fun_in5730379987311621695e_term: $tType ).

tff(type_def_78,type,
    fun_fu2454420574033104442at_nat: $tType ).

tff(type_def_79,type,
    fun_fu3739269683040691718nt_int: $tType ).

tff(type_def_80,type,
    fun_fu1806770557662746761_nat_o: $tType ).

tff(type_def_81,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_82,type,
    fun_Pr2478283820680522243nt_int: $tType ).

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

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

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

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

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

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

tff(type_def_89,type,
    fun_fu5956788528830221615omplex: $tType ).

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

tff(type_def_91,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_92,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_93,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_94,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_95,type,
    fun_fu923337204662071120nt_int: $tType ).

tff(type_def_96,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_97,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_98,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_99,type,
    fun_fu8384527901749275179omplex: $tType ).

tff(type_def_100,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_101,type,
    fun_Pr9024663293703641776omplex: $tType ).

tff(type_def_102,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_103,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_104,type,
    fun_Pr7211993375558241536eger_o: $tType ).

tff(type_def_105,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_106,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_107,type,
    fun_fu3613808716698379563omplex: $tType ).

tff(type_def_108,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_109,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_110,type,
    fun_se7512233253626865466omplex: $tType ).

tff(type_def_111,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_112,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_113,type,
    fun_fu2445682883699234307plex_o: $tType ).

tff(type_def_114,type,
    fun_se2389560805064864136_nat_o: $tType ).

tff(type_def_115,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_116,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_117,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_118,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_119,type,
    fun_fu2408719596384163971_nat_o: $tType ).

tff(type_def_120,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_121,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_122,type,
    fun_op167334234089630144_nat_o: $tType ).

tff(type_def_123,type,
    fun_op6120599277751319488_num_o: $tType ).

tff(type_def_124,type,
    fun_op5794009454290973322_nat_o: $tType ).

tff(type_def_125,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_126,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_127,type,
    fun_fu806425790188207109plex_o: $tType ).

tff(type_def_128,type,
    fun_fu3043978019632300333x_real: $tType ).

tff(type_def_129,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_130,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_131,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_132,type,
    fun_in7207726656141197838et_nat: $tType ).

tff(type_def_133,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_134,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_135,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_136,type,
    fun_fu4396998534562958809ex_rat: $tType ).

tff(type_def_137,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_138,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_139,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_140,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_141,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_142,type,
    list_P7524865323317820941T_VEBT: $tType ).

tff(type_def_143,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_144,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_145,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_146,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_147,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_148,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_149,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_150,type,
    fun_fu7444430165986413063real_o: $tType ).

tff(type_def_151,type,
    fun_fu3532930458344041007omplex: $tType ).

tff(type_def_152,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_153,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_154,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_155,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_156,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_157,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_158,type,
    fun_na5873943405026509934VEBT_o: $tType ).

tff(type_def_159,type,
    fun_fu6891447142836604759at_o_o: $tType ).

tff(type_def_160,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_161,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_162,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_163,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_164,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_165,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_166,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_167,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_168,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_169,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_170,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_171,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_172,type,
    fun_in230608924162954550omplex: $tType ).

tff(type_def_173,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_174,type,
    fun_fu6176141739774794687_nat_o: $tType ).

tff(type_def_175,type,
    fun_fu4302481349826706223omplex: $tType ).

tff(type_def_176,type,
    fun_fu7994259084669964039_int_o: $tType ).

tff(type_def_177,type,
    fun_fu3558165918884697647omplex: $tType ).

tff(type_def_178,type,
    fun_se9162176452187397432plex_o: $tType ).

tff(type_def_179,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_180,type,
    fun_fu1358370060594899587plex_o: $tType ).

tff(type_def_181,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_182,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_183,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_184,type,
    fun_fu4478067837645853357l_real: $tType ).

tff(type_def_185,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_186,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_187,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_188,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_189,type,
    fun_fu6510078244439976541real_o: $tType ).

tff(type_def_190,type,
    fun_fu5551332503302594393al_rat: $tType ).

tff(type_def_191,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_192,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_193,type,
    fun_Pr982841511892225912nt_int: $tType ).

tff(type_def_194,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_195,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_196,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_197,type,
    fun_se1654316830156123260t_real: $tType ).

tff(type_def_198,type,
    fun_in6553099857819052212t_real: $tType ).

tff(type_def_199,type,
    fun_fu6621322437453427393_nat_o: $tType ).

tff(type_def_200,type,
    fun_fu4185471554550717449_int_o: $tType ).

tff(type_def_201,type,
    fun_fu7030473000426307245t_real: $tType ).

tff(type_def_202,type,
    fun_na2418085665696872764plex_o: $tType ).

tff(type_def_203,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_204,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_205,type,
    fun_se1179353343636554400at_nat: $tType ).

tff(type_def_206,type,
    fun_se4827636401813558708nt_int: $tType ).

tff(type_def_207,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_208,type,
    fun_in2630332840903238488et_nat: $tType ).

tff(type_def_209,type,
    fun_in7040156458970095540et_int: $tType ).

tff(type_def_210,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_211,type,
    fun_fu7145897819039579925_nat_o: $tType ).

tff(type_def_212,type,
    fun_fu3162257917499486297at_rat: $tType ).

tff(type_def_213,type,
    fun_fu3922030663826099033nt_rat: $tType ).

tff(type_def_214,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_215,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_216,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_217,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_218,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_219,type,
    list_P3521021558325789923at_int: $tType ).

tff(type_def_220,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_221,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_222,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_223,type,
    produc8025551001238799321T_VEBT: $tType ).

tff(type_def_224,type,
    fun_se2161501677553633980real_o: $tType ).

tff(type_def_225,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_226,type,
    fun_fu9050450510664235267real_o: $tType ).

tff(type_def_227,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_228,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_229,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_230,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_231,type,
    fun_na7306406234920378942_int_o: $tType ).

tff(type_def_232,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_233,type,
    fun_na1142814060743658952omplex: $tType ).

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

tff(type_def_235,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_236,type,
    fun_se382663106265794036_nat_o: $tType ).

tff(type_def_237,type,
    fun_se867122708194164540_int_o: $tType ).

tff(type_def_238,type,
    fun_na8563630686737515764_nat_o: $tType ).

tff(type_def_239,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_240,type,
    fun_fu4001317426178549763_nat_o: $tType ).

tff(type_def_241,type,
    fun_fu3883539188510166275_int_o: $tType ).

tff(type_def_242,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_243,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_244,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_245,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_246,type,
    list_P5087981734274514673_int_o: $tType ).

tff(type_def_247,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_248,type,
    list_P3795440434834930179_o_int: $tType ).

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

tff(type_def_250,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_251,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

tff(type_def_254,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_255,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_268,type,
    fun_co8153928105989009288nteger: $tType ).

tff(type_def_269,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_278,type,
    list_P4002435161011370285od_o_o: $tType ).

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

tff(type_def_280,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_real > fun_real_o ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_Pr958786334691620121nt_int > fun_Pr3238374608701176162_int_o ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_complex > fun_complex_o ).

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: set_real > fun_se2161501677553633980real_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: set_Pr958786334691620121nt_int > fun_se4767462807232413326_int_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_complex > fun_se9162176452187397432plex_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: set_set_nat > fun_se2389560805064864136_nat_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: set_int > fun_se867122708194164540_int_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_nat > fun_se382663106265794036_nat_o ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_re7681423839302404990l_real ).

tff(func_def_13,type,
    aTP_Lamm_am: rat > fun_rat_rat ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_fun_nat_nat ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_int_fun_int_int ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_real > fun_fu9050450510664235267real_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: set_Pr958786334691620121nt_int > fun_fu3068557634114553409_int_o ).

tff(func_def_18,type,
    aTP_Lamm_ar: set_complex > fun_fu1358370060594899587plex_o ).

tff(func_def_19,type,
    aTP_Lamm_as: set_set_nat > fun_fu2408719596384163971_nat_o ).

tff(func_def_20,type,
    aTP_Lamm_at: set_int > fun_fu3883539188510166275_int_o ).

tff(func_def_21,type,
    aTP_Lamm_au: set_nat > fun_fu4001317426178549763_nat_o ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_complex_complex ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_real_real ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_rat_rat ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_int_int ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_complex_complex ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_real_real ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_rat_rat ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_nat ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_int_int ).

tff(func_def_32,type,
    aTP_Lamm_bf: vEBT_VEBT > fun_nat_fun_nat_o ).

tff(func_def_33,type,
    aTP_Lamm_bg: vEBT_VEBT > fun_nat_fun_nat_o ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_36,type,
    aTP_Lamm_bj: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_37,type,
    aTP_Lamm_bk: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_38,type,
    aTP_Lamm_bl: set_o > fun_nat_fun_list_o_o ).

tff(func_def_39,type,
    aTP_Lamm_bm: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_40,type,
    aTP_Lamm_bn: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_41,type,
    aTP_Lamm_bo: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_42,type,
    aTP_Lamm_bp: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_43,type,
    aTP_Lamm_bq: set_o > fun_nat_fun_list_o_o ).

tff(func_def_44,type,
    aTP_Lamm_br: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_45,type,
    aTP_Lamm_bs: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_nat_fun_nat_o ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_fun_nat_o ).

tff(func_def_48,type,
    aTP_Lamm_bv: set_int > fun_set_int_o ).

tff(func_def_49,type,
    aTP_Lamm_bw: set_complex > fun_set_complex_o ).

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

tff(func_def_51,type,
    aTP_Lamm_by: nat > fun_real_o ).

tff(func_def_52,type,
    aTP_Lamm_bz: nat > fun_complex_o ).

tff(func_def_53,type,
    aTP_Lamm_ca: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_54,type,
    aTP_Lamm_cb: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_55,type,
    aTP_Lamm_cc: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_56,type,
    aTP_Lamm_cd: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_57,type,
    aTP_Lamm_ce: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_58,type,
    aTP_Lamm_cf: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_59,type,
    aTP_Lamm_cg: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_60,type,
    aTP_Lamm_ch: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_61,type,
    aTP_Lamm_ci: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_62,type,
    aTP_Lamm_cj: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_64,type,
    aTP_Lamm_cl: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_65,type,
    aTP_Lamm_cm: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_67,type,
    aTP_Lamm_co: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_68,type,
    aTP_Lamm_cp: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_69,type,
    aTP_Lamm_cq: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_70,type,
    aTP_Lamm_cr: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_71,type,
    aTP_Lamm_cs: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_72,type,
    aTP_Lamm_ct: set_nat > fun_fu1806770557662746761_nat_o ).

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

tff(func_def_74,type,
    aTP_Lamm_cv: int > fun_int_fun_int_o ).

tff(func_def_75,type,
    aTP_Lamm_cw: int > fun_int_fun_int_o ).

tff(func_def_76,type,
    aTP_Lamm_cx: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_77,type,
    aTP_Lamm_cy: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_78,type,
    aTP_Lamm_cz: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_79,type,
    aTP_Lamm_da: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_80,type,
    aTP_Lamm_db: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_81,type,
    aTP_Lamm_dc: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_83,type,
    aTP_Lamm_de: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_84,type,
    aTP_Lamm_df: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_85,type,
    aTP_Lamm_dg: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_86,type,
    aTP_Lamm_dh: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_87,type,
    aTP_Lamm_di: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_88,type,
    aTP_Lamm_dj: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_89,type,
    aTP_Lamm_dk: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_90,type,
    aTP_Lamm_dl: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_91,type,
    aTP_Lamm_dm: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_92,type,
    aTP_Lamm_dn: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_93,type,
    aTP_Lamm_do: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_95,type,
    aTP_Lamm_dq: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: nat > fun_co1148497455491383662plex_o ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_co1148497455491383662plex_o ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_int_fun_int_o ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_Co2081214437782444048eger_o ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_nat_fun_nat_o ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_nat_fun_nat_o ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_in1696471567231710611nt_int ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_na4138050610385705875at_nat ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_Co2470855966376689427nteger ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_nat_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: real > fun_fu8384527901749275179omplex ).

tff(func_def_107,type,
    aTP_Lamm_ec: nat > fun_fu40286998686754419omplex ).

tff(func_def_108,type,
    aTP_Lamm_ed: int > fun_fu3613808716698379563omplex ).

tff(func_def_109,type,
    aTP_Lamm_ee: real > fun_fu3077872570260440615l_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: int > fun_fu121957152452960295t_real ).

tff(func_def_111,type,
    aTP_Lamm_eg: complex > fun_fu7714627026455246123x_real ).

tff(func_def_112,type,
    aTP_Lamm_eh: real > fun_fu2598743018846156927al_rat ).

tff(func_def_113,type,
    aTP_Lamm_ei: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_114,type,
    aTP_Lamm_ej: int > fun_fu1008360527747082367nt_rat ).

tff(func_def_115,type,
    aTP_Lamm_ek: complex > fun_fu2990765671291504771ex_rat ).

tff(func_def_116,type,
    aTP_Lamm_el: real > fun_fu8384527901749275179omplex ).

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

tff(func_def_118,type,
    aTP_Lamm_en: int > fun_fu3613808716698379563omplex ).

tff(func_def_119,type,
    aTP_Lamm_eo: real > fun_fu3077872570260440615l_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: int > fun_fu121957152452960295t_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: complex > fun_fu7714627026455246123x_real ).

tff(func_def_122,type,
    aTP_Lamm_er: real > fun_fu2598743018846156927al_rat ).

tff(func_def_123,type,
    aTP_Lamm_es: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_124,type,
    aTP_Lamm_et: int > fun_fu1008360527747082367nt_rat ).

tff(func_def_125,type,
    aTP_Lamm_eu: complex > fun_fu2990765671291504771ex_rat ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_int_int > fun_int_int ).

tff(func_def_127,type,
    aTP_Lamm_ew: fun_nat_real > fun_nat_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_in1696471567231710611nt_int ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_na4138050610385705875at_nat ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_Co2470855966376689427nteger ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_int_int > fun_fu923337204662071120nt_int ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_int_int > fun_fu3739269683040691718nt_int ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_nat_nat > fun_fu2454420574033104442at_nat ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_complex_complex > fun_fu8998703528969179354omplex ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_complex_complex > fun_fu8084223252616112272omplex ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_real > fun_fu3306995184869731826t_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_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_143,type,
    aTP_Lamm_fm: int > fun_fu1143798476471108391nt_int ).

tff(func_def_144,type,
    aTP_Lamm_fn: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_145,type,
    aTP_Lamm_fo: complex > fun_fu5956788528830221615omplex ).

tff(func_def_146,type,
    aTP_Lamm_fp: real > fun_fu6899955116716589935t_real ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_int_int > fun_int_fun_int_int ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_Pr2477239776880934807at_nat > fun_na1668100129766719005at_nat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_Pr2028404973800837934_nat_o > fun_na5914473681949881652_nat_o ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_Pr2478283820680522243nt_int > fun_in1696471567231710611nt_int ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_Pr3238374608701176162_int_o > fun_int_fun_int_o ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_Pr982841511892225912nt_int > fun_int_fun_int_int ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_real_complex > fun_fu3532930458344041007omplex ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_nat_complex > fun_fu4302481349826706223omplex ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_int_complex > fun_fu3558165918884697647omplex ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_real_real > fun_fu4478067837645853357l_real ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_int_real > fun_fu7030473000426307245t_real ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_complex_real > fun_fu3043978019632300333x_real ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_real_rat > fun_fu5551332503302594393al_rat ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_nat_rat > fun_fu3162257917499486297at_rat ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_int_rat > fun_fu3922030663826099033nt_rat ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_complex_rat > fun_fu4396998534562958809ex_rat ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_int_complex > fun_int_o ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_int_real > fun_int_o ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_complex_real > fun_complex_o ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_int_rat > fun_int_o ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_complex_rat > fun_complex_o ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_int_nat > fun_int_o ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_complex_nat > fun_complex_o ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_complex_int > fun_complex_o ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_nat_complex > fun_nat_o ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_nat_rat > fun_nat_o ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_complex_rat > fun_fu2990765671291504771ex_rat ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_193,type,
    aTP_Lamm_hk: num > fun_na4138050610385705875at_nat ).

tff(func_def_194,type,
    aTP_Lamm_hl: num > fun_in1696471567231710611nt_int ).

tff(func_def_195,type,
    aTP_Lamm_hm: num > fun_Co2470855966376689427nteger ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_na4138050610385705875at_nat ).

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

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

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

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_201,type,
    aTP_Lamm_hs: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_202,type,
    aTP_Lamm_ht: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_204,type,
    aTP_Lamm_hv: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_set_nat_nat > fun_fu1590586450949517859at_nat ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_nat_nat > fun_fu7002938529518989751at_nat ).

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

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

tff(func_def_210,type,
    aTP_Lamm_ib: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_212,type,
    aTP_Lamm_id: complex > fun_na1142814060743658952omplex ).

tff(func_def_213,type,
    aTP_Lamm_ie: rat > fun_nat_fun_nat_rat ).

tff(func_def_214,type,
    aTP_Lamm_if: int > fun_nat_fun_nat_int ).

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

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_nat_rat > fun_nat_rat ).

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

tff(func_def_220,type,
    aTP_Lamm_il: fun_nat_rat > fun_nat_rat ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_int > fun_nat_int ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_nat_real > fun_nat_real ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_int_fun_int_int ).

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

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

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

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

tff(func_def_228,type,
    aTP_Lamm_it: fun_nat_rat > fun_nat_rat ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_nat_int > fun_nat_int ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_nat_real > fun_nat_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_nat_rat > fun_nat_rat ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_nat_int > fun_nat_int ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_nat > fun_nat_nat ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_nat_real > fun_nat_real ).

tff(func_def_235,type,
    aTP_Lamm_ja: nat > fun_nat_fun_nat_nat ).

tff(func_def_236,type,
    aTP_Lamm_jb: int > fun_int_fun_int_o ).

tff(func_def_237,type,
    aTP_Lamm_jc: int > fun_int_fun_int_o ).

tff(func_def_238,type,
    aTP_Lamm_jd: complex > fun_co3258106519541737638omplex ).

tff(func_def_239,type,
    aTP_Lamm_je: rat > fun_rat_fun_nat_rat ).

tff(func_def_240,type,
    aTP_Lamm_jf: int > fun_int_fun_nat_int ).

tff(func_def_241,type,
    aTP_Lamm_jg: nat > fun_nat_fun_nat_nat ).

tff(func_def_242,type,
    aTP_Lamm_jh: real > fun_re4238438383274954274t_real ).

tff(func_def_243,type,
    aTP_Lamm_ji: fun_na1142814060743658952omplex ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_nat_fun_nat_real ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_nat_fun_nat_rat ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_nat_fun_nat_nat ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_fun_nat_int ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_re4238438383274954274t_real ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_re4238438383274954274t_real ).

tff(func_def_250,type,
    aTP_Lamm_jp: complex > fun_co6883864892131739507omplex ).

tff(func_def_251,type,
    aTP_Lamm_jq: complex > fun_co6883864892131739507omplex ).

tff(func_def_252,type,
    aTP_Lamm_jr: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_253,type,
    aTP_Lamm_js: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_254,type,
    aTP_Lamm_jt: real > fun_re4756235295228751087t_real ).

tff(func_def_255,type,
    aTP_Lamm_ju: real > fun_re4756235295228751087t_real ).

tff(func_def_256,type,
    aTP_Lamm_jv: set_nat > fun_set_nat_o ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_rat_fun_rat_o ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_num_fun_num_o ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_int_fun_int_o ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_real_fun_real_o ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_262,type,
    aTP_Lamm_kb: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_nat_rat > fun_nat_rat ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_nat_int > fun_nat_int ).

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

tff(func_def_266,type,
    aTP_Lamm_kf: fun_nat_complex > fun_co3258106519541737638omplex ).

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

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

tff(func_def_269,type,
    aTP_Lamm_ki: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_270,type,
    aTP_Lamm_kj: complex > fun_co6883864892131739507omplex ).

tff(func_def_271,type,
    aTP_Lamm_kk: complex > fun_co6883864892131739507omplex ).

tff(func_def_272,type,
    aTP_Lamm_kl: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_273,type,
    aTP_Lamm_km: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_274,type,
    aTP_Lamm_kn: int > fun_in6793278964266839919at_int ).

tff(func_def_275,type,
    aTP_Lamm_ko: int > fun_in6793278964266839919at_int ).

tff(func_def_276,type,
    aTP_Lamm_kp: real > fun_re4756235295228751087t_real ).

tff(func_def_277,type,
    aTP_Lamm_kq: real > fun_re4756235295228751087t_real ).

tff(func_def_278,type,
    aTP_Lamm_kr: complex > fun_na6632006986671646835omplex ).

tff(func_def_279,type,
    aTP_Lamm_ks: rat > fun_na1148497095348402375at_rat ).

tff(func_def_280,type,
    aTP_Lamm_kt: int > fun_na2382631619178260847at_int ).

tff(func_def_281,type,
    aTP_Lamm_ku: real > fun_na5225841814499866095t_real ).

tff(func_def_282,type,
    aTP_Lamm_kv: complex > fun_na6632006986671646835omplex ).

tff(func_def_283,type,
    aTP_Lamm_kw: rat > fun_na1148497095348402375at_rat ).

tff(func_def_284,type,
    aTP_Lamm_kx: int > fun_na2382631619178260847at_int ).

tff(func_def_285,type,
    aTP_Lamm_ky: real > fun_na5225841814499866095t_real ).

tff(func_def_286,type,
    aTP_Lamm_kz: complex > fun_na1142814060743658952omplex ).

tff(func_def_287,type,
    aTP_Lamm_la: rat > fun_nat_fun_nat_rat ).

tff(func_def_288,type,
    aTP_Lamm_lb: int > fun_nat_fun_nat_int ).

tff(func_def_289,type,
    aTP_Lamm_lc: real > fun_nat_fun_nat_real ).

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_nat_real ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_nat_real > fun_nat_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_re4238438383274954274t_real ).

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

tff(func_def_295,type,
    aTP_Lamm_li: fun_complex_complex > fun_complex_real ).

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

tff(func_def_297,type,
    aTP_Lamm_lk: fun_nat_complex ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_nat_int ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_nat_real ).

tff(func_def_300,type,
    aTP_Lamm_ln: fun_nat_real ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_re4238438383274954274t_real ).

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

tff(func_def_303,type,
    aTP_Lamm_lq: nat > fun_fu6899955116716589935t_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_305,type,
    aTP_Lamm_ls: nat > fun_fu8464300013002972271at_int ).

tff(func_def_306,type,
    aTP_Lamm_lt: complex > fun_fu40286998686754419omplex ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_308,type,
    aTP_Lamm_lv: set_nat > fun_fu40286998686754419omplex ).

tff(func_def_309,type,
    aTP_Lamm_lw: set_nat > fun_fu6899955116716589935t_real ).

tff(func_def_310,type,
    aTP_Lamm_lx: set_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_311,type,
    aTP_Lamm_ly: set_nat > fun_fu8464300013002972271at_int ).

tff(func_def_312,type,
    aTP_Lamm_lz: fun_nat_o > fun_fu40286998686754419omplex ).

tff(func_def_313,type,
    aTP_Lamm_ma: fun_nat_o > fun_fu6899955116716589935t_real ).

tff(func_def_314,type,
    aTP_Lamm_mb: fun_nat_o > fun_fu7002938529518989751at_nat ).

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_o > fun_fu8464300013002972271at_int ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_318,type,
    aTP_Lamm_mf: complex > fun_nat_complex ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_re4238438383274954274t_real ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_321,type,
    aTP_Lamm_mi: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_322,type,
    aTP_Lamm_mj: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_323,type,
    aTP_Lamm_mk: fun_nat_complex > fun_co8378349014452122532t_real ).

tff(func_def_324,type,
    aTP_Lamm_ml: complex > fun_fu40286998686754419omplex ).

tff(func_def_325,type,
    aTP_Lamm_mm: real > fun_fu6899955116716589935t_real ).

tff(func_def_326,type,
    aTP_Lamm_mn: fun_nat_complex > fun_nat_complex ).

tff(func_def_327,type,
    aTP_Lamm_mo: nat > fun_fu40286998686754419omplex ).

tff(func_def_328,type,
    aTP_Lamm_mp: nat > fun_fu6899955116716589935t_real ).

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

tff(func_def_330,type,
    aTP_Lamm_mr: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_333,type,
    aTP_Lamm_mu: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_334,type,
    aTP_Lamm_mv: nat > fun_co3258106519541737638omplex ).

tff(func_def_335,type,
    aTP_Lamm_mw: nat > fun_re4238438383274954274t_real ).

tff(func_def_336,type,
    aTP_Lamm_mx: nat > fun_int_fun_nat_int ).

tff(func_def_337,type,
    aTP_Lamm_my: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_nat_real > fun_se2100927751953696370t_real ).

tff(func_def_339,type,
    aTP_Lamm_na: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_340,type,
    aTP_Lamm_nb: real > fun_fu7631928937237476593t_real ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_real ).

tff(func_def_342,type,
    aTP_Lamm_nd: fun_nat_real > fun_nat_real ).

tff(func_def_343,type,
    aTP_Lamm_ne: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_344,type,
    aTP_Lamm_nf: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_346,type,
    aTP_Lamm_nh: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_complex_complex ).

tff(func_def_349,type,
    aTP_Lamm_nk: fun_real_real ).

tff(func_def_350,type,
    aTP_Lamm_nl: fun_rat_rat ).

tff(func_def_351,type,
    aTP_Lamm_nm: fun_nat_nat ).

tff(func_def_352,type,
    aTP_Lamm_nn: fun_int_int ).

tff(func_def_353,type,
    aTP_Lamm_no: real > fun_fu6899955116716589935t_real ).

tff(func_def_354,type,
    aTP_Lamm_np: complex > fun_fu40286998686754419omplex ).

tff(func_def_355,type,
    aTP_Lamm_nq: fun_re4238438383274954274t_real ).

tff(func_def_356,type,
    aTP_Lamm_nr: complex > fun_nat_complex ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_re4238438383274954274t_real ).

tff(func_def_358,type,
    aTP_Lamm_nt: rat > fun_nat_rat ).

tff(func_def_359,type,
    aTP_Lamm_nu: complex > fun_na1591161823130732966omplex ).

tff(func_def_360,type,
    aTP_Lamm_nv: real > fun_na6724076748692969250l_real ).

tff(func_def_361,type,
    aTP_Lamm_nw: rat > fun_nat_fun_rat_rat ).

tff(func_def_362,type,
    aTP_Lamm_nx: int > fun_nat_fun_int_int ).

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

tff(func_def_364,type,
    aTP_Lamm_nz: fun_nat_int ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_int_int ).

tff(func_def_366,type,
    aTP_Lamm_ob: fun_nat_nat ).

tff(func_def_367,type,
    aTP_Lamm_oc: real > fun_fu6899955116716589935t_real ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_re4238438383274954274t_real ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_re4238438383274954274t_real ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_re4238438383274954274t_real ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_re4238438383274954274t_real ).

tff(func_def_372,type,
    aTP_Lamm_oh: fun_nat_fun_nat_nat ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_nat_fun_nat_nat ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_nat_fun_nat_nat ).

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

tff(func_def_376,type,
    aTP_Lamm_ol: nat > fun_na3244735409550470327at_nat ).

tff(func_def_377,type,
    aTP_Lamm_om: nat > fun_na3244735409550470327at_nat ).

tff(func_def_378,type,
    aTP_Lamm_on: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_nat_fun_nat_nat ).

tff(func_def_382,type,
    aTP_Lamm_or: fun_nat_fun_nat_nat ).

tff(func_def_383,type,
    aTP_Lamm_os: nat > fun_nat_complex ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_real_fun_real_o ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_real_o ).

tff(func_def_386,type,
    aTP_Lamm_ov: fun_real_fun_real_o ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_real_o ).

tff(func_def_388,type,
    aTP_Lamm_ox: fun_real_fun_real_o ).

tff(func_def_389,type,
    aTP_Lamm_oy: complex > fun_na1554462459066888140plex_o ).

tff(func_def_390,type,
    aTP_Lamm_oz: complex > fun_real_o ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_392,type,
    aTP_Lamm_pb: set_nat > fun_nat_fun_nat_o ).

tff(func_def_393,type,
    aTP_Lamm_pc: set_nat > fun_nat_fun_nat_o ).

tff(func_def_394,type,
    aTP_Lamm_pd: real > fun_int_o ).

tff(func_def_395,type,
    aTP_Lamm_pe: rat > fun_int_o ).

tff(func_def_396,type,
    aTP_Lamm_pf: fun_in1696471567231710611nt_int ).

tff(func_def_397,type,
    aTP_Lamm_pg: int > fun_in2204242111582549184nt_int ).

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

tff(func_def_399,type,
    aTP_Lamm_pi: int > fun_in2204242111582549184nt_int ).

tff(func_def_400,type,
    aTP_Lamm_pj: rat > fun_in1696471567231710611nt_int ).

tff(func_def_401,type,
    aTP_Lamm_pk: int > fun_in2204242111582549184nt_int ).

tff(func_def_402,type,
    aTP_Lamm_pl: rat > fun_in1696471567231710611nt_int ).

tff(func_def_403,type,
    aTP_Lamm_pm: int > fun_in2204242111582549184nt_int ).

tff(func_def_404,type,
    aTP_Lamm_pn: rat > fun_in1696471567231710611nt_int ).

tff(func_def_405,type,
    aTP_Lamm_po: fun_in1696471567231710611nt_int ).

tff(func_def_406,type,
    aTP_Lamm_pp: fun_in1696471567231710611nt_int ).

tff(func_def_407,type,
    aTP_Lamm_pq: int > fun_in5570076352459579423_int_o ).

tff(func_def_408,type,
    aTP_Lamm_pr: rat > fun_int_fun_int_o ).

tff(func_def_409,type,
    aTP_Lamm_ps: int > fun_in5570076352459579423_int_o ).

tff(func_def_410,type,
    aTP_Lamm_pt: rat > fun_int_fun_int_o ).

tff(func_def_411,type,
    aTP_Lamm_pu: fun_Co1092983284983208416er_int ).

tff(func_def_412,type,
    aTP_Lamm_pv: fun_Co8521658056209057742er_num ).

tff(func_def_413,type,
    aTP_Lamm_pw: fun_Co3583066429914935172er_nat ).

tff(func_def_414,type,
    aTP_Lamm_px: nat > fun_na8563630686737515764_nat_o ).

tff(func_def_415,type,
    aTP_Lamm_py: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_416,type,
    aTP_Lamm_pz: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_417,type,
    aTP_Lamm_qa: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_418,type,
    aTP_Lamm_qb: fun_nat_o ).

tff(func_def_419,type,
    aTP_Lamm_qc: fun_nat_o ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_fun_nat_nat ).

tff(func_def_421,type,
    aTP_Lamm_qe: fun_nat_fun_nat_nat ).

tff(func_def_422,type,
    aTP_Lamm_qf: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_423,type,
    aTP_Lamm_qg: fun_nat_fun_nat_o ).

tff(func_def_424,type,
    aTP_Lamm_qh: nat > fun_na4143055713577223196at_nat ).

tff(func_def_425,type,
    aTP_Lamm_qi: fun_na1668100129766719005at_nat ).

tff(func_def_426,type,
    aTP_Lamm_qj: fun_na4138050610385705875at_nat ).

tff(func_def_427,type,
    aTP_Lamm_qk: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_na5914473681949881652_nat_o ).

tff(func_def_429,type,
    aTP_Lamm_qm: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_430,type,
    aTP_Lamm_qn: fun_na5914473681949881652_nat_o ).

tff(func_def_431,type,
    aTP_Lamm_qo: nat > fun_na4143055713577223196at_nat ).

tff(func_def_432,type,
    aTP_Lamm_qp: fun_na1668100129766719005at_nat ).

tff(func_def_433,type,
    aTP_Lamm_qq: nat > fun_na4143055713577223196at_nat ).

tff(func_def_434,type,
    aTP_Lamm_qr: fun_na1668100129766719005at_nat ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_nat_fun_nat_nat ).

tff(func_def_436,type,
    aTP_Lamm_qt: fun_nat_fun_nat_nat ).

tff(func_def_437,type,
    aTP_Lamm_qu: fun_nat_real > fun_nat_real ).

tff(func_def_438,type,
    aTP_Lamm_qv: fun_int_fun_int_int ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_nat_fun_nat_nat ).

tff(func_def_440,type,
    aTP_Lamm_qx: fun_na6724076748692969250l_real ).

tff(func_def_441,type,
    aTP_Lamm_qy: fun_na6724076748692969250l_real ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_443,type,
    aTP_Lamm_ra: fun_re7681423839302404990l_real ).

tff(func_def_444,type,
    aTP_Lamm_rb: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_445,type,
    aTP_Lamm_rc: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_446,type,
    aTP_Lamm_rd: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_447,type,
    aTP_Lamm_re: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_448,type,
    aTP_Lamm_rf: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_449,type,
    aTP_Lamm_rg: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_450,type,
    aTP_Lamm_rh: fun_nat_real > fun_real_real ).

tff(func_def_451,type,
    aTP_Lamm_ri: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_452,type,
    aTP_Lamm_rj: real > fun_fu5589980185390252312t_real ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_456,type,
    aTP_Lamm_rn: nat > fun_fu3612569900928539882l_real ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_real_real ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_re4238438383274954274t_real ).

tff(func_def_460,type,
    aTP_Lamm_rr: num > fun_num_int ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_num_option_num ).

tff(func_def_462,type,
    aTP_Lamm_rt: num > fun_nat_option_num ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_nat_option_num ).

tff(func_def_464,type,
    aTP_Lamm_rv: num > fun_nat_option_num ).

tff(func_def_465,type,
    aTP_Lamm_rw: fun_num_option_num ).

tff(func_def_466,type,
    aTP_Lamm_rx: nat > fun_num_option_num ).

tff(func_def_467,type,
    aTP_Lamm_ry: nat > fun_num_option_num ).

tff(func_def_468,type,
    aTP_Lamm_rz: num > fun_nat_option_num ).

tff(func_def_469,type,
    aTP_Lamm_sa: fun_na7595719129879163854on_num ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_nat_set_nat ).

tff(func_def_471,type,
    aTP_Lamm_sc: nat > fun_nat_fun_nat_o ).

tff(func_def_472,type,
    aTP_Lamm_sd: nat > fun_nat_fun_nat_o ).

tff(func_def_473,type,
    aTP_Lamm_se: fun_real_real ).

tff(func_def_474,type,
    aTP_Lamm_sf: fun_nat_real > fun_nat_real ).

tff(func_def_475,type,
    aTP_Lamm_sg: fun_nat_real ).

tff(func_def_476,type,
    aTP_Lamm_sh: int > fun_int_fun_int_o ).

tff(func_def_477,type,
    aTP_Lamm_si: fun_nat_real > fun_nat_real ).

tff(func_def_478,type,
    aTP_Lamm_sj: fun_nat_real ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_re4238438383274954274t_real ).

tff(func_def_480,type,
    aTP_Lamm_sl: fun_nat_real ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_re4238438383274954274t_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: real > fun_re4238438383274954274t_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: fun_re4238438383274954274t_real ).

tff(func_def_486,type,
    aTP_Lamm_sr: fun_re4238438383274954274t_real ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_488,type,
    aTP_Lamm_st: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_nat_real > fun_nat_real ).

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

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

tff(func_def_492,type,
    aTP_Lamm_sx: fun_re7681423839302404990l_real ).

tff(func_def_493,type,
    aTP_Lamm_sy: nat > fun_fu3077872570260440615l_real ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_real_real ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_na6724076748692969250l_real ).

tff(func_def_496,type,
    aTP_Lamm_tb: fun_re7681423839302404990l_real ).

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

tff(func_def_498,type,
    aTP_Lamm_td: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_real_o > fun_real_fun_real_o ).

tff(func_def_501,type,
    aTP_Lamm_tg: real > fun_real_fun_real_o ).

tff(func_def_502,type,
    aTP_Lamm_th: fun_real_o > fun_real_o ).

tff(func_def_503,type,
    aTP_Lamm_ti: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_504,type,
    aTP_Lamm_tj: fun_nat_o > fun_nat_o ).

tff(func_def_505,type,
    aTP_Lamm_tk: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_506,type,
    aTP_Lamm_tl: nat > fun_li6914387844523535256_nat_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_real_fun_real_o ).

tff(func_def_510,type,
    aTP_Lamm_tp: fun_re5512370375968561900l_real ).

tff(func_def_511,type,
    aTP_Lamm_tq: real > fun_co1148497455491383662plex_o ).

tff(func_def_512,type,
    aTP_Lamm_tr: fun_re3844104906058862192omplex ).

tff(func_def_513,type,
    aTP_Lamm_ts: fun_re7681423839302404990l_real ).

tff(func_def_514,type,
    aTP_Lamm_tt: fun_re7681423839302404990l_real ).

tff(func_def_515,type,
    aTP_Lamm_tu: fun_nat_fun_nat_nat ).

tff(func_def_516,type,
    aTP_Lamm_tv: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_517,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_518,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_519,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_520,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_521,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_522,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_523,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_524,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_525,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_526,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_527,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_528,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_529,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_530,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_531,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_532,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_533,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_534,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_535,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_536,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_537,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_538,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_539,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_540,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_541,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_542,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_543,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_544,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_545,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_546,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_547,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_548,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_549,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_550,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_551,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_552,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_553,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_554,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_555,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_556,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_557,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_558,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_559,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_560,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_561,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_562,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_563,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_564,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_565,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_566,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_567,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_568,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_569,type,
    code_Target_negative: fun_num_int ).

tff(func_def_570,type,
    code_Target_positive: fun_num_int ).

tff(func_def_571,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_572,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_573,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_574,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_575,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_576,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_577,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_578,type,
    arg: fun_complex_real ).

tff(func_def_579,type,
    cis: fun_real_complex ).

tff(func_def_580,type,
    cnj: fun_complex_complex ).

tff(func_def_581,type,
    complex2: real > fun_real_complex ).

tff(func_def_582,type,
    im: fun_complex_real ).

tff(func_def_583,type,
    re: fun_complex_real ).

tff(func_def_584,type,
    csqrt: fun_complex_complex ).

tff(func_def_585,type,
    imaginary_unit: complex ).

tff(func_def_586,type,
    adjust_div: fun_Pr982841511892225912nt_int ).

tff(func_def_587,type,
    adjust_mod: fun_int_fun_int_int ).

tff(func_def_588,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_589,type,
    eucl_rel_int: ( int * int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_590,type,
    unique6319869463603278526ux_int: fun_Pr3238374608701176162_int_o ).

tff(func_def_591,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_592,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_593,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_594,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_595,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_596,type,
    unique5024387138958732305ep_int: num > fun_Pr2478283820680522243nt_int ).

tff(func_def_597,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_598,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_599,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_600,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_601,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_602,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_603,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_604,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_605,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_606,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_607,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_608,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_609,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_610,type,
    at_bot_real: filter_real ).

tff(func_def_611,type,
    at_top_nat: filter_nat ).

tff(func_def_612,type,
    at_top_real: filter_real ).

tff(func_def_613,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_614,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_615,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_616,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_617,type,
    finite_card_o: set_o > nat ).

tff(func_def_618,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_619,type,
    finite_card_int: set_int > nat ).

tff(func_def_620,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_621,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_622,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_623,type,
    finite_card_char: set_char > nat ).

tff(func_def_624,type,
    finite3207457112153483333omplex: fun_set_complex_o ).

tff(func_def_625,type,
    finite_finite_int: fun_set_int_o ).

tff(func_def_626,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_627,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_o ).

tff(func_def_628,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_o ).

tff(func_def_629,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_630,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_631,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_632,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_633,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_634,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_635,type,
    id_o: fun_o_o ).

tff(func_def_636,type,
    id_nat: fun_nat_nat ).

tff(func_def_637,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_638,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_639,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_640,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_641,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_642,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_643,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_644,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_645,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_646,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_647,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_648,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_649,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_650,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_651,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_652,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_653,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_654,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_655,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_656,type,
    abs_abs_int: fun_int_int ).

tff(func_def_657,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_658,type,
    abs_abs_real: fun_real_real ).

tff(func_def_659,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_660,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_661,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_662,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_663,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_664,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_665,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_666,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_667,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_668,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_669,type,
    minus_1052850069191792384nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_670,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_671,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_672,type,
    minus_8169481405280535082plex_o: ( fun_complex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_673,type,
    minus_7151557278095657260_int_o: ( fun_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_674,type,
    minus_8972599623528345224_nat_o: ( fun_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_675,type,
    minus_827889751674334651_int_o: ( fun_Pr3238374608701176162_int_o * fun_Pr3238374608701176162_int_o ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_676,type,
    minus_404528632214381484real_o: ( fun_real_o * fun_real_o ) > fun_real_o ).

tff(func_def_677,type,
    minus_6087510627544308050_nat_o: ( fun_set_nat_o * fun_set_nat_o ) > fun_set_nat_o ).

tff(func_def_678,type,
    one_one_Code_integer: code_integer ).

tff(func_def_679,type,
    one_one_complex: complex ).

tff(func_def_680,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_681,type,
    one_one_int: int ).

tff(func_def_682,type,
    one_one_nat: nat ).

tff(func_def_683,type,
    one_one_rat: rat ).

tff(func_def_684,type,
    one_one_real: real ).

tff(func_def_685,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_686,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_687,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_688,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_689,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_690,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_691,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_692,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_693,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_694,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_695,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_696,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_697,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_698,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_699,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_700,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_701,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_702,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_703,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_704,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_705,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_706,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_707,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_708,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_709,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_710,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_711,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_712,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_713,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_714,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_715,type,
    zero_zero_complex: complex ).

tff(func_def_716,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_717,type,
    zero_zero_int: int ).

tff(func_def_718,type,
    zero_zero_nat: nat ).

tff(func_def_719,type,
    zero_zero_rat: rat ).

tff(func_def_720,type,
    zero_zero_real: real ).

tff(func_def_721,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_722,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_723,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_724,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_725,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_726,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_727,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_728,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_729,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_730,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_731,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_732,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_733,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_734,type,
    groups2073611262835488442omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_735,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_736,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_737,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_738,type,
    groups6591440286371151544t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_739,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_740,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_741,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_742,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_743,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_744,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_745,type,
    groups8255218700646806128omplex: ( fun_set_nat_complex * set_set_nat ) > complex ).

tff(func_def_746,type,
    groups8294997508430121362at_nat: ( fun_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_747,type,
    groups5107569545109728110t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_748,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_749,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_750,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_751,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_752,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_753,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_754,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_755,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_756,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_757,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_758,type,
    groups6464643781859351333omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_759,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_760,type,
    groups708209901874060359at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_761,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_762,type,
    groups129246275422532515t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_763,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_764,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_765,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_766,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_767,type,
    the_int: fun_int_o > int ).

tff(func_def_768,type,
    the_real: fun_real_o > real ).

tff(func_def_769,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_770,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_771,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_772,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_773,type,
    nat2: fun_int_nat ).

tff(func_def_774,type,
    power_int_real: real > fun_int_real ).

tff(func_def_775,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_776,type,
    ring_1_Ints_real: set_real ).

tff(func_def_777,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_778,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_779,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_780,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_781,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_782,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_783,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_784,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_785,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_786,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_787,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_788,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_789,type,
    distinct_int: fun_list_int_o ).

tff(func_def_790,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_791,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_792,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_793,type,
    nil_int: list_int ).

tff(func_def_794,type,
    nil_nat: list_nat ).

tff(func_def_795,type,
    set_o2: list_o > set_o ).

tff(func_def_796,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_797,type,
    set_int2: list_int > set_int ).

tff(func_def_798,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_799,type,
    set_real2: list_real > set_real ).

tff(func_def_800,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_801,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_802,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_803,type,
    list_update_o: ( list_o * nat * $o ) > list_o ).

tff(func_def_804,type,
    list_update_complex: ( list_complex * nat * complex ) > list_complex ).

tff(func_def_805,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_806,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_807,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_808,type,
    list_update_set_nat: ( list_set_nat * nat * set_nat ) > list_set_nat ).

tff(func_def_809,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_810,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_811,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_812,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_813,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_814,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_815,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_816,type,
    nth_Pr112076138515278198_nat_o: ( list_P7333126701944960589_nat_o * nat ) > product_prod_nat_o ).

tff(func_def_817,type,
    nth_Pr3440142176431000676at_int: ( list_P3521021558325789923at_int * nat ) > product_prod_nat_int ).

tff(func_def_818,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_819,type,
    nth_Pr744662078594809490T_VEBT: ( list_P5647936690300460905T_VEBT * nat ) > produc8025551001238799321T_VEBT ).

tff(func_def_820,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_821,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_822,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_823,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_824,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_825,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_826,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_827,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_828,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_829,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_830,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_831,type,
    product_int_o: ( list_int * list_o ) > list_P5087981734274514673_int_o ).

tff(func_def_832,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_833,type,
    produc662631939642741121T_VEBT: ( list_int * list_VEBT_VEBT ) > list_P7524865323317820941T_VEBT ).

tff(func_def_834,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_835,type,
    product_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_836,type,
    product_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_837,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_838,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_839,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_840,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_841,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_842,type,
    replicate_o: ( nat * $o ) > list_o ).

tff(func_def_843,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_844,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_845,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_846,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_847,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_848,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_849,type,
    upto: ( int * int ) > list_int ).

tff(func_def_850,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_851,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_852,type,
    suc: fun_nat_nat ).

tff(func_def_853,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_854,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_855,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_856,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_857,type,
    pred: fun_nat_nat ).

tff(func_def_858,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_859,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_860,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_861,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_862,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_863,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_864,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_865,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_866,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_867,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_868,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_869,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_870,type,
    size_size_list_o: list_o > nat ).

tff(func_def_871,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_872,type,
    size_size_list_int: list_int > nat ).

tff(func_def_873,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_874,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_875,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_876,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_877,type,
    size_s4246224855604898693_int_o: list_P5087981734274514673_int_o > nat ).

tff(func_def_878,type,
    size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat ).

tff(func_def_879,type,
    size_s6639371672096860321T_VEBT: list_P7524865323317820941T_VEBT > nat ).

tff(func_def_880,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_881,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_882,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_883,type,
    size_size_list_real: list_real > nat ).

tff(func_def_884,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_885,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_886,type,
    size_size_num: fun_num_nat ).

tff(func_def_887,type,
    size_size_option_nat: option_nat > nat ).

tff(func_def_888,type,
    size_size_option_num: option_num > nat ).

tff(func_def_889,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_890,type,
    size_size_char: char > nat ).

tff(func_def_891,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_892,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_893,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_894,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_895,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_896,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_897,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_898,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_899,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_900,type,
    sqrt: fun_real_real ).

tff(func_def_901,type,
    bitM: fun_num_num ).

tff(func_def_902,type,
    inc: fun_num_num ).

tff(func_def_903,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_904,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_905,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_906,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_907,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_908,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_909,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_910,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_911,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_912,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_913,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_914,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_915,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_916,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_917,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_918,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_919,type,
    bit0: fun_num_num ).

tff(func_def_920,type,
    bit1: fun_num_num ).

tff(func_def_921,type,
    one: num ).

tff(func_def_922,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_923,type,
    size_num: fun_num_nat ).

tff(func_def_924,type,
    num_of_nat: fun_nat_num ).

tff(func_def_925,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_926,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_927,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_928,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_929,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_930,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_931,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_932,type,
    pow: fun_num_fun_num_num ).

tff(func_def_933,type,
    pred_numeral: fun_num_nat ).

tff(func_def_934,type,
    sqr: fun_num_num ).

tff(func_def_935,type,
    none_nat: option_nat ).

tff(func_def_936,type,
    none_num: option_num ).

tff(func_def_937,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_938,type,
    some_nat: nat > option_nat ).

tff(func_def_939,type,
    some_num: num > option_num ).

tff(func_def_940,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_941,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_942,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_943,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_944,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_945,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_946,type,
    size_option_nat: ( fun_nat_nat * option_nat ) > nat ).

tff(func_def_947,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_948,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_949,type,
    the_nat: option_nat > nat ).

tff(func_def_950,type,
    the_num: option_num > num ).

tff(func_def_951,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_952,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_953,type,
    bot_bot_nat: nat ).

tff(func_def_954,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_955,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_956,type,
    bot_bot_set_int: set_int ).

tff(func_def_957,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_958,type,
    bot_bot_set_num: set_num ).

tff(func_def_959,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_960,type,
    bot_bot_set_real: set_real ).

tff(func_def_961,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_962,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_963,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_964,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_965,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_966,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_967,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_968,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_969,type,
    ord_less_set_complex: set_complex > fun_set_complex_o ).

tff(func_def_970,type,
    ord_less_set_int: set_int > fun_set_int_o ).

tff(func_def_971,type,
    ord_less_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_972,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_973,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_974,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_975,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_976,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_977,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_978,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_979,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_o ).

tff(func_def_980,type,
    ord_less_eq_set_int: set_int > fun_set_int_o ).

tff(func_def_981,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_982,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_983,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_984,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_985,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_986,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_987,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_988,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_989,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_990,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_991,type,
    top_top_set_o: set_o ).

tff(func_def_992,type,
    top_top_set_nat: set_nat ).

tff(func_def_993,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_994,type,
    top_top_set_real: set_real ).

tff(func_def_995,type,
    top_top_set_char: set_char ).

tff(func_def_996,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_997,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_998,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_999,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1000,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1001,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1002,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_1003,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_1004,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_1005,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1006,type,
    product_Pair_int_int: fun_in1696471567231710611nt_int ).

tff(func_def_1007,type,
    product_Pair_nat_o: ( nat * $o ) > product_prod_nat_o ).

tff(func_def_1008,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_1009,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1010,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1011,type,
    produc599794634098209291T_VEBT: ( nat * vEBT_VEBT ) > produc8025551001238799321T_VEBT ).

tff(func_def_1012,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1013,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1014,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1015,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1016,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_1017,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1018,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1019,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1020,type,
    produc7264323995540650962nteger: ( fun_Co3460408610320954864e_term * produc8923325533196201883nteger ) > produc7509114972854644512nteger ).

tff(func_def_1021,type,
    produc4729913460834754785nt_int: ( fun_in5730379987311621695e_term * product_prod_int_int ) > produc4788131091073775919nt_int ).

tff(func_def_1022,type,
    produc7967433646104525454on_nat: ( fun_nat_fun_nat_o * produc4953844613479565601on_nat ) > produc1615844007061411358on_nat ).

tff(func_def_1023,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1024,type,
    produc1140783415258738358on_num: ( fun_num_fun_num_o * produc3447558737645232053on_num ) > produc50614890452615238on_num ).

tff(func_def_1025,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1026,type,
    produc565448451787809096nteger: ( fun_Pr5098669352780829690e_term * produc8923325533196201883nteger ) > produc2453742332425399446nteger ).

tff(func_def_1027,type,
    produc7320969046608631221nt_int: ( fun_Pr7763680713840462443e_term * product_prod_int_int ) > produc3043004577601930755nt_int ).

tff(func_def_1028,type,
    produc3653971535690468304at_nat: ( fun_Pr2028404973800837934_nat_o * produc6121120109295599847at_nat ) > produc3739950874144486240at_nat ).

tff(func_def_1029,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1030,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1031,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1032,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1033,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1034,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_1035,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1036,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_1037,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1038,type,
    produc8211389475949308722nt_int: fun_int_fun_int_int > fun_Pr982841511892225912nt_int ).

tff(func_def_1039,type,
    produc4245557441103728435nt_int: fun_in1696471567231710611nt_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1040,type,
    produc8580519160106071146omplex: ( fun_in230608924162954550omplex * product_prod_int_int ) > set_complex ).

tff(func_def_1041,type,
    produc73460835934605544et_int: ( fun_in7040156458970095540et_int * product_prod_int_int ) > set_int ).

tff(func_def_1042,type,
    produc4251311855443802252et_nat: ( fun_in2630332840903238488et_nat * product_prod_int_int ) > set_nat ).

tff(func_def_1043,type,
    produc6452406959799940328t_real: ( fun_in6553099857819052212t_real * product_prod_int_int ) > set_real ).

tff(func_def_1044,type,
    produc5233655623923918146et_nat: ( fun_in7207726656141197838et_nat * product_prod_int_int ) > set_set_nat ).

tff(func_def_1045,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1046,type,
    produc1917071388513777916omplex: ( fun_na1142814060743658952omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1047,type,
    produc6840382203811409530at_int: ( fun_nat_fun_nat_int * product_prod_nat_nat ) > int ).

tff(func_def_1048,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1049,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1050,type,
    produc6207742614233964070at_rat: ( fun_nat_fun_nat_rat * product_prod_nat_nat ) > rat ).

tff(func_def_1051,type,
    produc1703576794950452218t_real: ( fun_nat_fun_nat_real * product_prod_nat_nat ) > real ).

tff(func_def_1052,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_1053,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1054,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1055,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_1056,type,
    produc7733317944277263833eger_o: fun_fu3422731660242565741eger_o > fun_Pr1347628893830317649eger_o ).

tff(func_def_1057,type,
    produc5772012072983024995omplex: ( fun_fu15390479812311035omplex * produc7509114972854644512nteger ) > set_complex ).

tff(func_def_1058,type,
    produc3783258407033660385et_int: ( fun_fu1569576118606662777et_int * produc7509114972854644512nteger ) > set_int ).

tff(func_def_1059,type,
    produc7961109426542857093et_nat: ( fun_fu6383124537394581533et_nat * produc7509114972854644512nteger ) > set_nat ).

tff(func_def_1060,type,
    produc5067746511659309921t_real: ( fun_fu7234941744988193529t_real * produc7509114972854644512nteger ) > set_real ).

tff(func_def_1061,type,
    produc7271678899836001034_int_o: fun_fu2978539155105838238_int_o > fun_Pr1196100989263358594_int_o ).

tff(func_def_1062,type,
    produc4974371134869959794omplex: ( fun_fu5523889554619339274omplex * produc4788131091073775919nt_int ) > set_complex ).

tff(func_def_1063,type,
    produc7373287791920631523eger_o: fun_fu7695273699059480439eger_o > fun_Pr7015759342434529115eger_o ).

tff(func_def_1064,type,
    produc2207054017359051062_int_o: fun_fu6865642474282033866_int_o > fun_Pr3540825087398332590_int_o ).

tff(func_def_1065,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_1066,type,
    product_fst_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1067,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1068,type,
    product_snd_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1069,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1070,type,
    fract: int > fun_int_rat ).

tff(func_def_1071,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1072,type,
    normalize: fun_Pr2478283820680522243nt_int ).

tff(func_def_1073,type,
    of_int: fun_int_rat ).

tff(func_def_1074,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1075,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1076,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1077,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1078,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1079,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1080,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1081,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1082,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1083,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1084,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1085,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1086,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1087,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1088,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1089,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_1090,type,
    dvd_dvd_complex: fun_co1148497455491383662plex_o ).

tff(func_def_1091,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_1092,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_1093,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_1094,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_1095,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1096,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_1097,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1098,type,
    zero_n356916108424825756nteger: $o > code_integer ).

tff(func_def_1099,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_1100,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_1101,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_1102,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_1103,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_1104,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1105,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1106,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1107,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1108,type,
    sums_complex: fun_nat_complex > fun_complex_o ).

tff(func_def_1109,type,
    sums_int: fun_nat_int > fun_int_o ).

tff(func_def_1110,type,
    sums_nat: fun_nat_nat > fun_nat_o ).

tff(func_def_1111,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_1112,type,
    collect_Code_integer: fun_Code_integer_o > set_Code_integer ).

tff(func_def_1113,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_1114,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_1115,type,
    collect_list_o: fun_list_o_o > set_list_o ).

tff(func_def_1116,type,
    collect_list_complex: fun_list_complex_o > set_list_complex ).

tff(func_def_1117,type,
    collect_list_int: fun_list_int_o > set_list_int ).

tff(func_def_1118,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_1119,type,
    collec5608196760682091941T_VEBT: fun_list_VEBT_VEBT_o > set_list_VEBT_VEBT ).

tff(func_def_1120,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_1121,type,
    collect_num: fun_num_o > set_num ).

tff(func_def_1122,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_1123,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_1124,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_1125,type,
    collect_rat: fun_rat_o > set_rat ).

tff(func_def_1126,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_1127,type,
    collect_set_complex: fun_set_complex_o > set_set_complex ).

tff(func_def_1128,type,
    collect_set_int: fun_set_int_o > set_set_int ).

tff(func_def_1129,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_1130,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_1131,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1132,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1133,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1134,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1135,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1136,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1137,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1138,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1139,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1140,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1141,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1142,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1143,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1144,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1145,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1146,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1147,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1148,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1149,type,
    set_or1266510415728281911st_int: fun_in7040156458970095540et_int ).

tff(func_def_1150,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1151,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1152,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1153,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1154,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1155,type,
    set_or4662586982721622107an_int: fun_in7040156458970095540et_int ).

tff(func_def_1156,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1157,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1158,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1159,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1160,type,
    set_or6656581121297822940st_int: fun_in7040156458970095540et_int ).

tff(func_def_1161,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_1162,type,
    set_or5832277885323065728an_int: fun_in7040156458970095540et_int ).

tff(func_def_1163,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1164,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1165,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1166,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1167,type,
    set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).

tff(func_def_1168,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1169,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1170,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1171,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1172,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1173,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

tff(func_def_1174,type,
    ascii_of: char > char ).

tff(func_def_1175,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1176,type,
    size_char: char > nat ).

tff(func_def_1177,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1178,type,
    integer_of_char: char > code_integer ).

tff(func_def_1179,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1180,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1181,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1182,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1183,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1184,type,
    arccos: fun_real_real ).

tff(func_def_1185,type,
    arcosh_real: fun_real_real ).

tff(func_def_1186,type,
    arcsin: fun_real_real ).

tff(func_def_1187,type,
    arctan: fun_real_real ).

tff(func_def_1188,type,
    arsinh_real: fun_real_real ).

tff(func_def_1189,type,
    artanh_real: fun_real_real ).

tff(func_def_1190,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1191,type,
    cos_real: fun_real_real ).

tff(func_def_1192,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1193,type,
    cosh_real: fun_real_real ).

tff(func_def_1194,type,
    cot_real: fun_real_real ).

tff(func_def_1195,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1196,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1197,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1198,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1199,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1200,type,
    exp_real: fun_real_real ).

tff(func_def_1201,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1202,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1203,type,
    pi: real ).

tff(func_def_1204,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1205,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1206,type,
    sin_real: fun_real_real ).

tff(func_def_1207,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1208,type,
    sinh_real: fun_real_real ).

tff(func_def_1209,type,
    tan_real: fun_real_real ).

tff(func_def_1210,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1211,type,
    tanh_real: fun_real_real ).

tff(func_def_1212,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1213,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1214,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1215,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1216,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1217,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1218,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1219,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1220,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1221,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1222,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1223,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1224,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1225,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1226,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1227,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1228,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1229,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1230,type,
    vEBT_vebt_delete_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1231,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1232,type,
    vEBT_vebt_insert_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1233,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1234,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_o ).

tff(func_def_1235,type,
    vEBT_V6963167321098673237ll_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1236,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1237,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1238,type,
    vEBT_vebt_member_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1239,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1240,type,
    vEBT_VEBT_greater: fun_op5794009454290973322_nat_o ).

tff(func_def_1241,type,
    vEBT_VEBT_less: fun_op5794009454290973322_nat_o ).

tff(func_def_1242,type,
    vEBT_VEBT_lesseq: fun_op5794009454290973322_nat_o ).

tff(func_def_1243,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_o ).

tff(func_def_1244,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_o ).

tff(func_def_1245,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1246,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1247,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1248,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1249,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1250,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1251,type,
    vEBT_vebt_maxt_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1252,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1253,type,
    vEBT_vebt_mint_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1254,type,
    vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1255,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1256,type,
    vEBT_vebt_pred_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1257,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1258,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1259,type,
    vEBT_vebt_succ_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1260,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1261,type,
    accp_P1096762738010456898nt_int: fun_Pr9018117161326028078_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1262,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1263,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_1264,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1265,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1266,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1267,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1268,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1269,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1270,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1271,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1272,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1273,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1274,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1275,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1276,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1277,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1278,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1279,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1280,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1281,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1282,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1283,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1284,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1285,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1286,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1287,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1288,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1289,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1290,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1291,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1292,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1293,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1294,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1295,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1296,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1297,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1298,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1299,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1300,type,
    aa_int_set_complex: ( fun_int_set_complex * int ) > set_complex ).

tff(func_def_1301,type,
    aa_int_set_int: ( fun_int_set_int * int ) > set_int ).

tff(func_def_1302,type,
    aa_int_set_nat: ( fun_int_set_nat * int ) > set_nat ).

tff(func_def_1303,type,
    aa_int_set_real: ( fun_int_set_real * int ) > set_real ).

tff(func_def_1304,type,
    aa_int_set_set_nat: ( fun_int_set_set_nat * int ) > set_set_nat ).

tff(func_def_1305,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1306,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1307,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1308,type,
    aa_int6119279391169676535omplex: ( fun_in230608924162954550omplex * int ) > fun_int_set_complex ).

tff(func_def_1309,type,
    aa_int8639817059373041269et_int: ( fun_in7040156458970095540et_int * int ) > fun_int_set_int ).

tff(func_def_1310,type,
    aa_int1906528167449992217et_nat: ( fun_in2630332840903238488et_nat * int ) > fun_int_set_nat ).

tff(func_def_1311,type,
    aa_int4847878404602763637t_real: ( fun_in6553099857819052212t_real * int ) > fun_int_set_real ).

tff(func_def_1312,type,
    aa_int1843896668418082255et_nat: ( fun_in7207726656141197838et_nat * int ) > fun_int_set_set_nat ).

tff(func_def_1313,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1314,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1315,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1316,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1317,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1318,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1319,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1320,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1321,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1322,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1323,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1324,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1325,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1326,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1327,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1328,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1329,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1330,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1331,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1332,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1333,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1334,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1335,type,
    aa_nat_fun_list_o_o: ( fun_nat_fun_list_o_o * nat ) > fun_list_o_o ).

tff(func_def_1336,type,
    aa_nat5940423528545770789plex_o: ( fun_na2418085665696872764plex_o * nat ) > fun_list_complex_o ).

tff(func_def_1337,type,
    aa_nat3638697132715757351_int_o: ( fun_na7306406234920378942_int_o * nat ) > fun_list_int_o ).

tff(func_def_1338,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1339,type,
    aa_nat1274389614848952367VEBT_o: ( fun_na5873943405026509934VEBT_o * nat ) > fun_list_VEBT_VEBT_o ).

tff(func_def_1340,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1341,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1342,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1343,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1344,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1345,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1346,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1347,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1348,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1349,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1350,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1351,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1352,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1353,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1354,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1355,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1356,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1357,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1358,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1359,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1360,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1361,type,
    aa_nat_fun_set_nat_o: ( fun_na8563630686737515764_nat_o * nat ) > fun_set_nat_o ).

tff(func_def_1362,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1363,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1364,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1365,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1366,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1367,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1368,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1369,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1370,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1371,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1372,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1373,type,
    aa_opt4319133605541840243_nat_o: ( fun_op5794009454290973322_nat_o * option_nat ) > fun_option_nat_o ).

tff(func_def_1374,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1375,type,
    aa_opt5077314168511351209_num_o: ( fun_op6120599277751319488_num_o * option_nat ) > fun_option_num_o ).

tff(func_def_1376,type,
    aa_opt120907569613471666_nat_o: ( fun_op3832135881594366065_nat_o * option_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1377,type,
    aa_opt7915830422195272873_nat_o: ( fun_op167334234089630144_nat_o * option_num ) > fun_option_nat_o ).

tff(func_def_1378,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_1379,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1380,type,
    aa_opt7110402928079307526_nat_o: ( fun_op7326680082016885773_nat_o * option4927543243414619207at_nat ) > fun_option_nat_o ).

tff(func_def_1381,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_1382,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1383,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1384,type,
    aa_Pro5605272939097928131omplex: ( fun_Pr910175051118075538omplex * produc8923325533196201883nteger ) > set_complex ).

tff(func_def_1385,type,
    aa_Pro5426537197693075521et_int: ( fun_Pr3914994171019630096et_int * produc8923325533196201883nteger ) > set_int ).

tff(func_def_1386,type,
    aa_Pro381016180347496421et_nat: ( fun_Pr6405077315951356852et_nat * produc8923325533196201883nteger ) > set_nat ).

tff(func_def_1387,type,
    aa_Pro6515153133580421057t_real: ( fun_Pr2183138248833747856t_real * produc8923325533196201883nteger ) > set_real ).

tff(func_def_1388,type,
    aa_Pro6799258434465214121nt_int: ( fun_Pr982841511892225912nt_int * product_prod_int_int ) > int ).

tff(func_def_1389,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1390,type,
    aa_Pro4762665599283228129omplex: ( fun_Pr9024663293703641776omplex * product_prod_int_int ) > set_complex ).

tff(func_def_1391,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1392,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1393,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1394,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1395,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1396,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1397,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1398,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1399,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1400,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1401,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1402,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1403,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1404,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1405,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1406,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1407,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1408,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1409,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1410,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1411,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1412,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1413,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1414,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1415,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1416,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1417,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1418,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1419,type,
    aa_set1742385355640705825plex_o: ( fun_se9162176452187397432plex_o * set_complex ) > fun_complex_o ).

tff(func_def_1420,type,
    aa_set7743095458595710203omplex: ( fun_se7512233253626865466omplex * set_complex ) > fun_complex_complex ).

tff(func_def_1421,type,
    aa_set_int_fun_int_o: ( fun_se867122708194164540_int_o * set_int ) > fun_int_o ).

tff(func_def_1422,type,
    aa_set7310040872927613301nt_int: ( fun_se4827636401813558708nt_int * set_int ) > fun_int_int ).

tff(func_def_1423,type,
    aa_set_nat_complex: ( fun_set_nat_complex * set_nat ) > complex ).

tff(func_def_1424,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1425,type,
    aa_set_nat_real: ( fun_set_nat_real * set_nat ) > real ).

tff(func_def_1426,type,
    aa_set_nat_fun_nat_o: ( fun_se382663106265794036_nat_o * set_nat ) > fun_nat_o ).

tff(func_def_1427,type,
    aa_set6537093552120046177at_nat: ( fun_se1179353343636554400at_nat * set_nat ) > fun_nat_nat ).

tff(func_def_1428,type,
    aa_set1166323925324055613t_real: ( fun_se1654316830156123260t_real * set_nat ) > fun_nat_real ).

tff(func_def_1429,type,
    aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).

tff(func_def_1430,type,
    aa_set2224860389584585407_int_o: ( fun_se4767462807232413326_int_o * set_Pr958786334691620121nt_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1431,type,
    aa_set2323979645938365349real_o: ( fun_se2161501677553633980real_o * set_real ) > fun_real_o ).

tff(func_def_1432,type,
    aa_set4404905041378927473_nat_o: ( fun_se2389560805064864136_nat_o * set_set_nat ) > fun_set_nat_o ).

tff(func_def_1433,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1434,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1435,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1436,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1437,type,
    aa_fun5125889547937825198eger_o: ( fun_fu3422731660242565741eger_o * fun_Co3460408610320954864e_term ) > fun_Pr7211993375558241536eger_o ).

tff(func_def_1438,type,
    aa_fun5788763187652937060omplex: ( fun_fu15390479812311035omplex * fun_Co3460408610320954864e_term ) > fun_Pr910175051118075538omplex ).

tff(func_def_1439,type,
    aa_fun1064201865214304482et_int: ( fun_fu1569576118606662777et_int * fun_Co3460408610320954864e_term ) > fun_Pr3914994171019630096et_int ).

tff(func_def_1440,type,
    aa_fun3554285010146031238et_nat: ( fun_fu6383124537394581533et_nat * fun_Co3460408610320954864e_term ) > fun_Pr6405077315951356852et_nat ).

tff(func_def_1441,type,
    aa_fun1966338168372333922t_real: ( fun_fu7234941744988193529t_real * fun_Co3460408610320954864e_term ) > fun_Pr2183138248833747856t_real ).

tff(func_def_1442,type,
    aa_fun2514317545224092796plex_o: ( fun_fu1358370060594899587plex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_1443,type,
    aa_fun4010016270681809034ex_rat: ( fun_fu4396998534562958809ex_rat * fun_complex_o ) > fun_complex_rat ).

tff(func_def_1444,type,
    aa_fun8261057609414086622x_real: ( fun_fu3043978019632300333x_real * fun_complex_o ) > fun_complex_real ).

tff(func_def_1445,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1446,type,
    aa_fun573566726631320556plex_o: ( fun_fu2445682883699234307plex_o * fun_complex_complex ) > fun_complex_o ).

tff(func_def_1447,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1448,type,
    aa_fun6995112137416684571omplex: ( fun_fu8998703528969179354omplex * fun_complex_complex ) > fun_co7673397065115134084omplex ).

tff(func_def_1449,type,
    aa_fun1583801116089702097omplex: ( fun_fu8084223252616112272omplex * fun_complex_complex ) > fun_se7512233253626865466omplex ).

tff(func_def_1450,type,
    aa_fun4378733901284544684plex_o: ( fun_fu2142003765521078979plex_o * fun_complex_complex ) > fun_fu2445682883699234307plex_o ).

tff(func_def_1451,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1452,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1453,type,
    aa_fun6195079535267300846plex_o: ( fun_fu806425790188207109plex_o * fun_complex_real ) > fun_complex_o ).

tff(func_def_1454,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1455,type,
    aa_fun805843229300662576plex_o: ( fun_fu7523448966510524487plex_o * fun_complex_real ) > fun_fu806425790188207109plex_o ).

tff(func_def_1456,type,
    aa_fun6243517787477317628_int_o: ( fun_fu3883539188510166275_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_1457,type,
    aa_fun6439487526662521568omplex: ( fun_fu3558165918884697647omplex * fun_int_o ) > fun_int_complex ).

tff(func_def_1458,type,
    aa_fun268837275264525578nt_rat: ( fun_fu3922030663826099033nt_rat * fun_int_o ) > fun_int_rat ).

tff(func_def_1459,type,
    aa_fun7506669883404309598t_real: ( fun_fu7030473000426307245t_real * fun_int_o ) > fun_int_real ).

tff(func_def_1460,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1461,type,
    aa_fun5261878201068379632_int_o: ( fun_fu7994259084669964039_int_o * fun_int_complex ) > fun_int_o ).

tff(func_def_1462,type,
    aa_fun3088484340408535532omplex: ( fun_fu3613808716698379563omplex * fun_int_complex ) > fun_int_complex ).

tff(func_def_1463,type,
    aa_fun2392861216585087154_int_o: ( fun_fu3930813892005118153_int_o * fun_int_complex ) > fun_fu7994259084669964039_int_o ).

tff(func_def_1464,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1465,type,
    aa_fun5911324870756489105nt_int: ( fun_fu923337204662071120nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_1466,type,
    aa_fun8076508010538293575nt_int: ( fun_fu3739269683040691718nt_int * fun_int_int ) > fun_se4827636401813558708nt_int ).

tff(func_def_1467,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1468,type,
    aa_fun586359091965693151_int_o: ( fun_fu2978539155105838238_int_o * fun_in5730379987311621695e_term ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1469,type,
    aa_fun8357827850476113523omplex: ( fun_fu5523889554619339274omplex * fun_in5730379987311621695e_term ) > fun_Pr9024663293703641776omplex ).

tff(func_def_1470,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1471,type,
    aa_fun4444401208693448434_int_o: ( fun_fu4185471554550717449_int_o * fun_int_real ) > fun_int_o ).

tff(func_def_1472,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1473,type,
    aa_fun135101165924023862_int_o: ( fun_fu4228744305898656589_int_o * fun_int_real ) > fun_fu4185471554550717449_int_o ).

tff(func_def_1474,type,
    aa_fun5937193402907943164_nat_o: ( fun_fu4001317426178549763_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1475,type,
    aa_fun1400689748890728928omplex: ( fun_fu4302481349826706223omplex * fun_nat_o ) > fun_nat_complex ).

tff(func_def_1476,type,
    aa_fun696632391729880074at_rat: ( fun_fu3162257917499486297at_rat * fun_nat_o ) > fun_nat_rat ).

tff(func_def_1477,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1478,type,
    aa_fun3019658233935452328_nat_o: ( fun_fu6176141739774794687_nat_o * fun_nat_complex ) > fun_nat_o ).

tff(func_def_1479,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1480,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1481,type,
    aa_fun894001447060918982_nat_o: ( fun_fu6433034133342731997_nat_o * fun_nat_complex ) > fun_fu6176141739774794687_nat_o ).

tff(func_def_1482,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1483,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1484,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1485,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1486,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1487,type,
    aa_fun4561837934398617467at_nat: ( fun_fu2454420574033104442at_nat * fun_nat_nat ) > fun_se1179353343636554400at_nat ).

tff(func_def_1488,type,
    aa_fun1118977351124560894_nat_o: ( fun_fu7145897819039579925_nat_o * fun_nat_rat ) > fun_nat_o ).

tff(func_def_1489,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1490,type,
    aa_fun8314661095172591474_nat_o: ( fun_fu1806770557662746761_nat_o * fun_nat_rat ) > fun_fu7145897819039579925_nat_o ).

tff(func_def_1491,type,
    aa_fun6456149469358400426_nat_o: ( fun_fu6621322437453427393_nat_o * fun_nat_real ) > fun_nat_o ).

tff(func_def_1492,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1493,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1494,type,
    aa_fun1400677770452585267t_real: ( fun_fu3306995184869731826t_real * fun_nat_real ) > fun_se1654316830156123260t_real ).

tff(func_def_1495,type,
    aa_fun5464864432877286986_nat_o: ( fun_fu6813129056075673441_nat_o * fun_nat_real ) > fun_fu6621322437453427393_nat_o ).

tff(func_def_1496,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1497,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1498,type,
    aa_fun4505422719058378424eger_o: ( fun_fu7695273699059480439eger_o * fun_Pr5098669352780829690e_term ) > fun_Pr7211993375558241536eger_o ).

tff(func_def_1499,type,
    aa_fun5349570537165229698_int_o: ( fun_fu3068557634114553409_int_o * fun_Pr3238374608701176162_int_o ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1500,type,
    aa_fun3538162476766722827_int_o: ( fun_fu6865642474282033866_int_o * fun_Pr7763680713840462443e_term ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1501,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1502,type,
    aa_fun5868358341814070780real_o: ( fun_fu9050450510664235267real_o * fun_real_o ) > fun_real_o ).

tff(func_def_1503,type,
    aa_fun1098856492951973088omplex: ( fun_fu3532930458344041007omplex * fun_real_o ) > fun_real_complex ).

tff(func_def_1504,type,
    aa_fun2004904883527618314al_rat: ( fun_fu5551332503302594393al_rat * fun_real_o ) > fun_real_rat ).

tff(func_def_1505,type,
    aa_fun4448911596306054750l_real: ( fun_fu4478067837645853357l_real * fun_real_o ) > fun_real_real ).

tff(func_def_1506,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1507,type,
    aa_fun5218151893725926128real_o: ( fun_fu7444430165986413063real_o * fun_real_complex ) > fun_real_o ).

tff(func_def_1508,type,
    aa_fun2233226938935547116omplex: ( fun_fu8384527901749275179omplex * fun_real_complex ) > fun_real_complex ).

tff(func_def_1509,type,
    aa_fun1467772539989157170real_o: ( fun_fu9068519094125542729real_o * fun_real_complex ) > fun_fu7444430165986413063real_o ).

tff(func_def_1510,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1511,type,
    aa_fun3209485225100452678real_o: ( fun_fu6510078244439976541real_o * fun_real_rat ) > fun_real_o ).

tff(func_def_1512,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1513,type,
    aa_fun8459995508950063326real_o: ( fun_fu5587483295140630005real_o * fun_real_rat ) > fun_fu6510078244439976541real_o ).

tff(func_def_1514,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1515,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1516,type,
    aa_fun3693225987673163702real_o: ( fun_fu5533088652784741581real_o * fun_real_real ) > fun_fu3022329567491847689real_o ).

tff(func_def_1517,type,
    aa_fun751667557118977660_nat_o: ( fun_fu2408719596384163971_nat_o * fun_set_nat_o ) > fun_set_nat_o ).

tff(func_def_1518,type,
    aa_fun3386010016858254564at_nat: ( fun_fu1590586450949517859at_nat * fun_set_nat_nat ) > fun_set_nat_nat ).

tff(func_def_1519,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1520,type,
    member_complex: complex > fun_set_complex_o ).

tff(func_def_1521,type,
    member_int: int > fun_set_int_o ).

tff(func_def_1522,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_1523,type,
    deg: nat ).

tff(func_def_1524,type,
    m: nat ).

tff(func_def_1525,type,
    ma: nat ).

tff(func_def_1526,type,
    mi: nat ).

tff(func_def_1527,type,
    na: nat ).

tff(func_def_1528,type,
    summary: vEBT_VEBT ).

tff(func_def_1529,type,
    ta: vEBT_VEBT ).

tff(func_def_1530,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1531,type,
    xa: nat ).

tff(func_def_1532,type,
    l0: nat ).

tff(func_def_1533,type,
    h1: nat ).

tff(func_def_1534,type,
    minlow2: option_nat ).

tff(func_def_1535,type,
    pr3: option_nat ).

tff(func_def_1536,type,
    l4: nat ).

tff(func_def_1537,type,
    h5: nat ).

tff(func_def_1538,type,
    minlow6: option_nat ).

tff(func_def_1539,type,
    pr7: option_nat ).

tff(func_def_1540,type,
    l8: nat ).

tff(func_def_1541,type,
    h9: nat ).

tff(func_def_1542,type,
    maxlow10: option_nat ).

tff(func_def_1543,type,
    sc11: option_nat ).

tff(func_def_1544,type,
    l12: nat ).

tff(func_def_1545,type,
    h13: nat ).

tff(func_def_1546,type,
    maxlow14: option_nat ).

tff(func_def_1547,type,
    sc15: option_nat ).

tff(func_def_1548,type,
    xn16: nat ).

tff(func_def_1549,type,
    h17: nat ).

tff(func_def_1550,type,
    newnode18: vEBT_VEBT ).

tff(func_def_1551,type,
    newlist19: list_VEBT_VEBT ).

tff(func_def_1552,type,
    sn20: vEBT_VEBT ).

tff(func_def_1553,type,
    maxs21: option_nat ).

tff(func_def_1554,type,
    maxs22: option_nat ).

tff(func_def_1555,type,
    sn23: vEBT_VEBT ).

tff(func_def_1556,type,
    maxs24: option_nat ).

tff(func_def_1557,type,
    newnode25: vEBT_VEBT ).

tff(func_def_1558,type,
    newlist26: list_VEBT_VEBT ).

tff(func_def_1559,type,
    sn27: vEBT_VEBT ).

tff(func_def_1560,type,
    maxs28: option_nat ).

tff(func_def_1561,type,
    sn29: vEBT_VEBT ).

tff(func_def_1562,type,
    maxs30: option_nat ).

tff(func_def_1563,type,
    maxs31: option_nat ).

tff(func_def_1564,type,
    newnode32: vEBT_VEBT ).

tff(func_def_1565,type,
    newlist33: list_VEBT_VEBT ).

tff(func_def_1566,type,
    sn34: vEBT_VEBT ).

tff(func_def_1567,type,
    maxs35: option_nat ).

tff(func_def_1568,type,
    xn36: nat ).

tff(func_def_1569,type,
    minn37: nat ).

tff(func_def_1570,type,
    h38: nat ).

tff(func_def_1571,type,
    newnode39: vEBT_VEBT ).

tff(func_def_1572,type,
    newlist40: list_VEBT_VEBT ).

tff(func_def_1573,type,
    sn41: vEBT_VEBT ).

tff(func_def_1574,type,
    maxs42: option_nat ).

tff(func_def_1575,type,
    m243: complex ).

tff(func_def_1576,type,
    m244: real ).

tff(func_def_1577,type,
    m245: rat ).

tff(func_def_1578,type,
    m246: nat ).

tff(func_def_1579,type,
    m247: int ).

tff(func_def_1580,type,
    w48: complex ).

tff(func_def_1581,type,
    w49: real ).

tff(func_def_1582,type,
    w50: rat ).

tff(func_def_1583,type,
    w51: nat ).

tff(func_def_1584,type,
    w52: int ).

tff(func_def_1585,type,
    h53: nat ).

tff(func_def_1586,type,
    h54: nat ).

tff(func_def_1587,type,
    xn55: nat ).

tff(func_def_1588,type,
    h56: nat ).

tff(func_def_1589,type,
    h57: nat ).

tff(func_def_1590,type,
    h58: nat ).

tff(func_def_1591,type,
    xn59: nat ).

tff(func_def_1592,type,
    h60: nat ).

tff(func_def_1593,type,
    l61: nat ).

tff(func_def_1594,type,
    h62: nat ).

tff(func_def_1595,type,
    maxlow63: option_nat ).

tff(func_def_1596,type,
    sc64: option_nat ).

tff(func_def_1597,type,
    l65: nat ).

tff(func_def_1598,type,
    h66: nat ).

tff(func_def_1599,type,
    minlow67: option_nat ).

tff(func_def_1600,type,
    pr68: option_nat ).

tff(func_def_1601,type,
    xn69: nat ).

tff(func_def_1602,type,
    minn70: nat ).

tff(func_def_1603,type,
    h71: nat ).

tff(func_def_1604,type,
    newnode72: vEBT_VEBT ).

tff(func_def_1605,type,
    newlist73: list_VEBT_VEBT ).

tff(func_def_1606,type,
    sn74: vEBT_VEBT ).

tff(func_def_1607,type,
    maxs75: option_nat ).

tff(func_def_1608,type,
    xn76: nat ).

tff(func_def_1609,type,
    minn77: nat ).

tff(func_def_1610,type,
    h78: nat ).

tff(func_def_1611,type,
    newnode79: vEBT_VEBT ).

tff(func_def_1612,type,
    newlist80: list_VEBT_VEBT ).

tff(func_def_1613,type,
    sn81: vEBT_VEBT ).

tff(func_def_1614,type,
    maxs82: option_nat ).

tff(func_def_1615,type,
    l83: nat ).

tff(func_def_1616,type,
    h84: nat ).

tff(func_def_1617,type,
    minlow85: option_nat ).

tff(func_def_1618,type,
    pr86: option_nat ).

tff(func_def_1619,type,
    l87: nat ).

tff(func_def_1620,type,
    h88: nat ).

tff(func_def_1621,type,
    maxlow89: option_nat ).

tff(func_def_1622,type,
    sc90: option_nat ).

tff(func_def_1623,type,
    pos91: nat ).

tff(func_def_1624,type,
    pos92: nat ).

tff(func_def_1625,type,
    pos93: nat ).

tff(func_def_1626,type,
    pos94: nat ).

tff(func_def_1627,type,
    pos95: nat ).

tff(func_def_1628,type,
    pos96: nat ).

tff(func_def_1629,type,
    pos97: nat ).

tff(func_def_1630,type,
    pos98: nat ).

tff(func_def_1631,type,
    pos99: nat ).

tff(func_def_1632,type,
    pos100: nat ).

tff(func_def_1633,type,
    pos101: nat ).

tff(func_def_1634,type,
    pos102: nat ).

tff(func_def_1635,type,
    l103: nat ).

tff(func_def_1636,type,
    h104: nat ).

tff(func_def_1637,type,
    maxlow105: option_nat ).

tff(func_def_1638,type,
    sc106: option_nat ).

tff(func_def_1639,type,
    l107: nat ).

tff(func_def_1640,type,
    h108: nat ).

tff(func_def_1641,type,
    minlow109: option_nat ).

tff(func_def_1642,type,
    pr110: option_nat ).

tff(func_def_1643,type,
    xn111: nat ).

tff(func_def_1644,type,
    minn112: nat ).

tff(func_def_1645,type,
    h113: nat ).

tff(func_def_1646,type,
    newnode114: vEBT_VEBT ).

tff(func_def_1647,type,
    newlist115: list_VEBT_VEBT ).

tff(func_def_1648,type,
    sn116: vEBT_VEBT ).

tff(func_def_1649,type,
    maxs117: option_nat ).

tff(func_def_1650,type,
    xn118: nat ).

tff(func_def_1651,type,
    h119: nat ).

tff(func_def_1652,type,
    h120: nat ).

tff(func_def_1653,type,
    h121: nat ).

tff(func_def_1654,type,
    pos122: nat ).

tff(func_def_1655,type,
    pos123: nat ).

tff(func_def_1656,type,
    pos124: nat ).

tff(func_def_1657,type,
    h125: nat ).

tff(func_def_1658,type,
    pos126: nat ).

tff(func_def_1659,type,
    pos127: nat ).

tff(func_def_1660,type,
    pos128: nat ).

tff(func_def_1661,type,
    pos129: nat ).

tff(func_def_1662,type,
    pos130: nat ).

tff(func_def_1663,type,
    pos131: nat ).

tff(func_def_1664,type,
    half132: nat ).

tff(func_def_1665,type,
    half133: nat ).

tff(func_def_1666,type,
    half134: nat ).

tff(func_def_1667,type,
    half135: nat ).

tff(func_def_1668,type,
    half136: nat ).

tff(func_def_1669,type,
    half137: nat ).

tff(func_def_1670,type,
    m2138: complex ).

tff(func_def_1671,type,
    m2139: real ).

tff(func_def_1672,type,
    m2140: rat ).

tff(func_def_1673,type,
    m2141: nat ).

tff(func_def_1674,type,
    m2142: int ).

tff(func_def_1675,type,
    w143: complex ).

tff(func_def_1676,type,
    w144: real ).

tff(func_def_1677,type,
    w145: rat ).

tff(func_def_1678,type,
    w146: nat ).

tff(func_def_1679,type,
    w147: int ).

tff(func_def_1680,type,
    l148: real ).

tff(func_def_1681,type,
    l149: int ).

tff(func_def_1682,type,
    l150: complex ).

tff(func_def_1683,type,
    l151: code_integer ).

tff(func_def_1684,type,
    l152: rat ).

tff(func_def_1685,type,
    d153: int ).

tff(func_def_1686,type,
    l154: code_integer ).

tff(func_def_1687,type,
    k155: code_integer ).

tff(func_def_1688,type,
    k156: code_integer ).

tff(func_def_1689,type,
    a157: int ).

tff(func_def_1690,type,
    a158: int ).

tff(func_def_1691,type,
    n159: nat ).

tff(func_def_1692,type,
    m2160: nat ).

tff(func_def_1693,type,
    n161: nat ).

tff(func_def_1694,type,
    m2162: nat ).

tff(func_def_1695,type,
    n163: nat ).

tff(func_def_1696,type,
    m2164: nat ).

tff(func_def_1697,type,
    n165: nat ).

tff(func_def_1698,type,
    m2166: nat ).

tff(func_def_1699,type,
    n167: nat ).

tff(func_def_1700,type,
    m2168: nat ).

tff(func_def_1701,type,
    n169: nat ).

tff(func_def_1702,type,
    m2170: nat ).

tff(func_def_1703,type,
    n171: nat ).

tff(func_def_1704,type,
    m2172: nat ).

tff(func_def_1705,type,
    l2173: int ).

tff(func_def_1706,type,
    m3174: complex ).

tff(func_def_1707,type,
    m3175: real ).

tff(func_def_1708,type,
    m3176: rat ).

tff(func_def_1709,type,
    m3177: nat ).

tff(func_def_1710,type,
    m3178: int ).

tff(func_def_1711,type,
    l2179: num ).

tff(func_def_1712,type,
    l3180: num ).

tff(func_def_1713,type,
    l2181: nat ).

tff(func_def_1714,type,
    l3182: nat ).

tff(func_def_1715,type,
    bG183: ( nat * list_o ) > $o ).

tff(func_def_1718,type,
    bG184: $o > $o ).

tff(func_def_1719,type,
    bG185: $o > $o ).

tff(func_def_1720,type,
    bG186: $o > $o ).

tff(func_def_1721,type,
    bG187: $o > $o ).

tff(func_def_1722,type,
    bG188: ( nat * list_o ) > $o ).

tff(func_def_1723,type,
    bG189: ( nat * list_o ) > $o ).

tff(func_def_1724,type,
    bG190: ( nat * list_o ) > $o ).

tff(func_def_1725,type,
    bG191: $o > $o ).

tff(func_def_1726,type,
    bG192: $o > $o ).

tff(func_def_1727,type,
    bG193: $o > $o ).

tff(func_def_1728,type,
    bG194: $o > $o ).

tff(func_def_1729,type,
    bG195: ( nat * list_o ) > $o ).

tff(func_def_1730,type,
    bG196: $o > $o ).

tff(func_def_1731,type,
    bG197: ( nat * list_o ) > $o ).

tff(func_def_1732,type,
    bG198: $o > $o ).

tff(func_def_1733,type,
    bG199: $o > $o ).

tff(func_def_1734,type,
    bG200: ( nat * list_o ) > $o ).

tff(func_def_1735,type,
    bG201: $o > $o ).

tff(func_def_1736,type,
    bG202: $o > $o ).

tff(func_def_1737,type,
    bG203: ( nat * list_o ) > $o ).

tff(func_def_1738,type,
    bG204: $o > $o ).

tff(func_def_1739,type,
    bG205: $o > $o ).

tff(func_def_1740,type,
    iG206: ( nat * nat * list_nat * nat ) > nat ).

tff(func_def_1741,type,
    iG207: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1742,type,
    bG209: $o > $o ).

tff(func_def_1743,type,
    iG210: ( nat * nat * list_int * int ) > int ).

tff(func_def_1744,type,
    bG211: $o > $o ).

tff(func_def_1745,type,
    iG212: ( nat * nat ) > nat ).

tff(func_def_1746,type,
    iG213: ( nat * nat * nat ) > nat ).

tff(func_def_1747,type,
    iG214: ( complex * complex * complex ) > complex ).

tff(func_def_1748,type,
    iG215: ( real * real * real ) > real ).

tff(func_def_1749,type,
    iG216: ( rat * rat * rat ) > rat ).

tff(func_def_1750,type,
    iG217: ( nat * nat * nat ) > nat ).

tff(func_def_1751,type,
    iG218: ( int * int * int ) > int ).

tff(func_def_1752,type,
    iG219: complex > complex ).

tff(func_def_1753,type,
    iG220: real > real ).

tff(func_def_1754,type,
    iG221: rat > rat ).

tff(func_def_1755,type,
    iG228: ( nat * nat ) > nat ).

tff(func_def_1756,type,
    iG229: nat > rat ).

tff(func_def_1757,type,
    iG230: nat > nat ).

tff(func_def_1758,type,
    iG231: nat > real ).

tff(func_def_1759,type,
    iG232: nat > int ).

tff(func_def_1760,type,
    iG233: nat > complex ).

tff(func_def_1761,type,
    iG234: ( int * int ) > int ).

tff(func_def_1762,type,
    iG235: ( nat * nat ) > nat ).

tff(func_def_1763,type,
    iG236: ( nat * nat ) > nat ).

tff(func_def_1764,type,
    iG257: ( complex * complex * complex ) > complex ).

tff(func_def_1765,type,
    iG258: ( real * real * real ) > real ).

tff(func_def_1766,type,
    iG259: ( rat * rat * rat ) > rat ).

tff(func_def_1767,type,
    iG260: ( complex * complex * complex ) > complex ).

tff(func_def_1768,type,
    iG261: ( real * real * real ) > real ).

tff(func_def_1769,type,
    iG262: ( rat * rat * rat ) > rat ).

tff(func_def_1770,type,
    iG263: ( complex * complex * complex ) > complex ).

tff(func_def_1771,type,
    iG264: ( real * real * real ) > real ).

tff(func_def_1772,type,
    iG265: ( rat * rat * rat ) > rat ).

tff(func_def_1773,type,
    bG266: $o > $o ).

tff(func_def_1774,type,
    iG283: ( nat * nat ) > nat ).

tff(func_def_1775,type,
    iG292: ( nat * nat * nat ) > nat ).

tff(func_def_1776,type,
    iG293: ( nat * nat * int ) > int ).

tff(func_def_1777,type,
    iG294: ( nat * complex ) > complex ).

tff(func_def_1778,type,
    iG295: ( nat * real ) > real ).

tff(func_def_1779,type,
    iG296: ( nat * rat ) > rat ).

tff(func_def_1780,type,
    iG297: ( nat * nat ) > nat ).

tff(func_def_1781,type,
    iG298: ( nat * int ) > int ).

tff(func_def_1782,type,
    iG299: ( nat * nat ) > nat ).

tff(func_def_1783,type,
    iG300: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1784,type,
    iG301: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1785,type,
    iG302: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1786,type,
    bG303: $o > $o ).

tff(func_def_1787,type,
    bG304: $o > $o ).

tff(func_def_1788,type,
    bG305: $o > $o ).

tff(func_def_1789,type,
    bG306: $o > $o ).

tff(func_def_1790,type,
    bG307: $o > $o ).

tff(func_def_1791,type,
    bG308: $o > $o ).

tff(func_def_1792,type,
    bG309: $o > $o ).

tff(func_def_1793,type,
    bG310: $o > $o ).

tff(func_def_1794,type,
    bG311: $o > $o ).

tff(func_def_1795,type,
    bG312: $o > $o ).

tff(func_def_1796,type,
    bG313: $o > $o ).

tff(func_def_1797,type,
    bG314: $o > $o ).

tff(func_def_1798,type,
    bG315: $o > $o ).

tff(func_def_1799,type,
    bG316: $o > $o ).

tff(func_def_1800,type,
    bG317: $o > $o ).

tff(func_def_1801,type,
    bG318: $o > $o ).

tff(func_def_1802,type,
    bG319: $o > $o ).

tff(func_def_1803,type,
    bG320: $o > $o ).

tff(func_def_1804,type,
    bG321: $o > $o ).

tff(func_def_1805,type,
    bG322: $o > $o ).

tff(func_def_1806,type,
    bG323: $o > $o ).

tff(func_def_1807,type,
    bG324: $o > $o ).

tff(func_def_1808,type,
    bG325: $o > $o ).

tff(func_def_1809,type,
    bG326: $o > $o ).

tff(func_def_1810,type,
    bG327: $o > $o ).

tff(func_def_1811,type,
    bG328: $o > $o ).

tff(func_def_1812,type,
    bG329: $o > $o ).

tff(func_def_1813,type,
    bG330: $o > $o ).

tff(func_def_1814,type,
    bG331: $o > $o ).

tff(func_def_1815,type,
    bG332: $o > $o ).

tff(func_def_1816,type,
    bG333: $o > $o ).

tff(func_def_1817,type,
    bG334: $o > $o ).

tff(func_def_1818,type,
    bG335: $o > $o ).

tff(func_def_1819,type,
    bG338: $o > $o ).

tff(func_def_1820,type,
    bG339: $o > $o ).

tff(func_def_1821,type,
    bG340: $o > $o ).

tff(func_def_1822,type,
    bG341: $o > $o ).

tff(func_def_1823,type,
    bG342: $o > $o ).

tff(func_def_1824,type,
    bG343: $o > $o ).

tff(func_def_1825,type,
    bG344: $o > $o ).

tff(func_def_1826,type,
    bG345: $o > $o ).

tff(func_def_1827,type,
    iG346: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1828,type,
    iG347: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1829,type,
    bG348: $o > $o ).

tff(func_def_1830,type,
    bG349: $o > $o ).

tff(func_def_1831,type,
    bG350: $o > $o ).

tff(func_def_1832,type,
    bG351: $o > $o ).

tff(func_def_1833,type,
    bG352: $o > $o ).

tff(func_def_1834,type,
    bG353: $o > $o ).

tff(func_def_1835,type,
    bG354: $o > $o ).

tff(func_def_1836,type,
    bG355: $o > $o ).

tff(func_def_1837,type,
    bG356: $o > $o ).

tff(func_def_1838,type,
    bG357: $o > $o ).

tff(func_def_1839,type,
    bG358: $o > $o ).

tff(func_def_1840,type,
    bG359: $o > $o ).

tff(func_def_1841,type,
    bG360: $o > $o ).

tff(func_def_1842,type,
    bG361: $o > $o ).

tff(func_def_1843,type,
    bG362: $o > $o ).

tff(func_def_1844,type,
    bG363: $o > $o ).

tff(func_def_1845,type,
    bG364: $o > $o ).

tff(func_def_1846,type,
    bG365: $o > $o ).

tff(func_def_1847,type,
    bG366: $o > $o ).

tff(func_def_1848,type,
    bG367: $o > $o ).

tff(func_def_1849,type,
    bG368: $o > $o ).

tff(func_def_1850,type,
    bG369: $o > $o ).

tff(func_def_1851,type,
    bG370: $o > $o ).

tff(func_def_1852,type,
    bG371: $o > $o ).

tff(func_def_1853,type,
    bG372: $o > $o ).

tff(func_def_1854,type,
    bG373: $o > $o ).

tff(func_def_1855,type,
    bG374: $o > $o ).

tff(func_def_1856,type,
    bG375: $o > $o ).

tff(func_def_1857,type,
    bG376: $o > $o ).

tff(func_def_1858,type,
    bG377: $o > $o ).

tff(func_def_1859,type,
    bG378: $o > $o ).

tff(func_def_1860,type,
    bG379: $o > $o ).

tff(func_def_1861,type,
    bG380: $o > $o ).

tff(func_def_1862,type,
    bG381: $o > $o ).

tff(func_def_1863,type,
    bG382: $o > $o ).

tff(func_def_1864,type,
    iG383: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1865,type,
    iG384: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1866,type,
    iG385: ( num * num ) > extended_enat ).

tff(func_def_1867,type,
    iG386: ( num * num ) > code_integer ).

tff(func_def_1868,type,
    iG387: ( num * num ) > real ).

tff(func_def_1869,type,
    iG388: ( num * num ) > rat ).

tff(func_def_1870,type,
    iG389: ( num * num ) > nat ).

tff(func_def_1871,type,
    iG390: ( num * num ) > int ).

tff(func_def_1872,type,
    bG391: $o > $o ).

tff(func_def_1873,type,
    bG392: $o > $o ).

tff(func_def_1874,type,
    bG393: $o > $o ).

tff(func_def_1875,type,
    bG394: $o > $o ).

tff(func_def_1876,type,
    bG395: $o > $o ).

tff(func_def_1877,type,
    bG396: $o > $o ).

tff(func_def_1878,type,
    iG397: $o > option_nat ).

tff(func_def_1879,type,
    bG398: $o > $o ).

tff(func_def_1880,type,
    bG399: $o > $o ).

tff(func_def_1881,type,
    iG400: $o > option_nat ).

tff(func_def_1882,type,
    bG401: $o > $o ).

tff(func_def_1883,type,
    bG402: $o > $o ).

tff(func_def_1884,type,
    iG403: $o > option_nat ).

tff(func_def_1885,type,
    iG404: ( $o * $o ) > option_nat ).

tff(func_def_1886,type,
    bG405: $o > $o ).

tff(func_def_1887,type,
    bG406: $o > $o ).

tff(func_def_1888,type,
    iG407: $o > option_nat ).

tff(func_def_1889,type,
    iG408: ( $o * $o ) > option_nat ).

tff(func_def_1890,type,
    iG409: $o > option_nat ).

tff(func_def_1891,type,
    iG410: ( $o * $o ) > option_nat ).

tff(func_def_1892,type,
    bG411: $o > $o ).

tff(func_def_1893,type,
    bG412: $o > $o ).

tff(func_def_1894,type,
    iG413: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1895,type,
    iG414: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1896,type,
    bG415: $o > $o ).

tff(func_def_1897,type,
    bG416: $o > $o ).

tff(func_def_1898,type,
    iG417: $o > option_nat ).

tff(func_def_1899,type,
    iG418: ( $o * $o ) > option_nat ).

tff(func_def_1900,type,
    iG419: $o > option_nat ).

tff(func_def_1901,type,
    iG420: ( $o * $o ) > option_nat ).

tff(func_def_1902,type,
    bG421: $o > $o ).

tff(func_def_1903,type,
    bG422: $o > $o ).

tff(func_def_1904,type,
    lG423: ( nat * nat ) > nat ).

tff(func_def_1905,type,
    lG424: ( nat * nat ) > nat ).

tff(func_def_1906,type,
    lG425: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1907,type,
    lG426: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1908,type,
    iG427: ( nat * nat ) > option_nat ).

tff(func_def_1909,type,
    iG428: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_1910,type,
    iG429: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1911,type,
    lG430: ( nat * nat ) > nat ).

tff(func_def_1912,type,
    lG431: ( nat * nat ) > nat ).

tff(func_def_1913,type,
    lG432: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1914,type,
    lG433: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1915,type,
    iG434: ( nat * nat ) > option_nat ).

tff(func_def_1916,type,
    iG435: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_1917,type,
    iG436: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1918,type,
    iG437: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1919,type,
    lG438: ( nat * nat ) > nat ).

tff(func_def_1920,type,
    lG439: ( nat * nat ) > nat ).

tff(func_def_1921,type,
    lG440: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1922,type,
    lG441: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1923,type,
    iG442: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1924,type,
    iG443: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1925,type,
    iG444: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1926,type,
    lG445: ( nat * nat ) > nat ).

tff(func_def_1927,type,
    lG446: ( nat * nat ) > nat ).

tff(func_def_1928,type,
    lG447: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1929,type,
    lG448: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1930,type,
    iG449: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1931,type,
    iG450: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1932,type,
    lG451: ( nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1933,type,
    lG452: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_1934,type,
    lG453: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1935,type,
    lG454: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1936,type,
    lG455: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1937,type,
    lG456: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1938,type,
    iG457: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1939,type,
    iG458: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1940,type,
    iG459: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1941,type,
    iG460: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1942,type,
    iG461: ( list_VEBT_VEBT * nat * vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1943,type,
    lG462: vEBT_VEBT > option_nat ).

tff(func_def_1944,type,
    iG463: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1945,type,
    iG464: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1946,type,
    lG465: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1947,type,
    lG466: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1948,type,
    iG467: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1949,type,
    iG468: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1950,type,
    iG469: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1951,type,
    iG470: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1952,type,
    lG471: ( list_VEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1953,type,
    lG472: ( list_VEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_1954,type,
    lG473: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1955,type,
    lG474: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1956,type,
    iG475: ( nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1957,type,
    iG476: ( nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1958,type,
    iG477: ( nat * nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1959,type,
    iG478: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1960,type,
    lG479: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1961,type,
    lG480: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1962,type,
    iG481: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1963,type,
    iG482: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1964,type,
    iG483: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1965,type,
    iG484: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1966,type,
    lG485: vEBT_VEBT > option_nat ).

tff(func_def_1967,type,
    iG486: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1968,type,
    iG487: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1969,type,
    lG488: ( list_VEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1970,type,
    lG489: ( list_VEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_1971,type,
    lG490: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1972,type,
    lG491: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1973,type,
    iG492: ( nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1974,type,
    iG493: ( nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1975,type,
    iG494: ( nat * nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1976,type,
    iG495: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1977,type,
    lG496: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1978,type,
    iG497: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1979,type,
    lG498: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1980,type,
    iG499: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1981,type,
    lG500: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1982,type,
    lG501: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1983,type,
    lG502: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_1984,type,
    lG503: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1985,type,
    lG504: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_1986,type,
    iG505: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1987,type,
    iG506: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1988,type,
    iG507: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1989,type,
    iG508: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1990,type,
    iG509: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1991,type,
    iG510: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_1992,type,
    iG511: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1993,type,
    iG512: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1994,type,
    iG513: ( rat * rat ) > rat ).

tff(func_def_1995,type,
    iG514: ( num * num ) > num ).

tff(func_def_1996,type,
    iG515: ( nat * nat ) > nat ).

tff(func_def_1997,type,
    iG516: ( int * int ) > int ).

tff(func_def_1998,type,
    lG517: num > complex ).

tff(func_def_1999,type,
    lG518: num > real ).

tff(func_def_2000,type,
    lG519: num > rat ).

tff(func_def_2001,type,
    lG520: num > nat ).

tff(func_def_2002,type,
    lG521: num > int ).

tff(func_def_2003,type,
    lG522: ( complex * num ) > complex ).

tff(func_def_2004,type,
    lG523: ( real * num ) > real ).

tff(func_def_2005,type,
    lG524: ( rat * num ) > rat ).

tff(func_def_2006,type,
    lG525: ( nat * num ) > nat ).

tff(func_def_2007,type,
    lG526: ( int * num ) > int ).

tff(func_def_2008,type,
    lG527: ( nat * nat ) > nat ).

tff(func_def_2009,type,
    lG533: ( nat * nat ) > nat ).

tff(func_def_2010,type,
    bG541: $o > $o ).

tff(func_def_2011,type,
    bG542: $o > $o ).

tff(func_def_2012,type,
    lG543: ( nat * nat ) > nat ).

tff(func_def_2013,type,
    iG544: ( nat * nat ) > nat ).

tff(func_def_2014,type,
    lG545: ( nat * nat * nat ) > nat ).

tff(func_def_2015,type,
    iG546: ( nat * nat ) > nat ).

tff(func_def_2016,type,
    iG547: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2017,type,
    iG548: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2018,type,
    lG549: ( nat * nat ) > nat ).

tff(func_def_2019,type,
    bG557: $o > $o ).

tff(func_def_2020,type,
    bG558: $o > $o ).

tff(func_def_2021,type,
    lG559: ( nat * nat ) > nat ).

tff(func_def_2022,type,
    bG567: $o > $o ).

tff(func_def_2023,type,
    bG568: $o > $o ).

tff(func_def_2024,type,
    lG569: ( nat * nat ) > nat ).

tff(func_def_2025,type,
    iG570: ( nat * nat ) > nat ).

tff(func_def_2026,type,
    lG571: ( nat * nat * nat ) > nat ).

tff(func_def_2027,type,
    iG572: ( nat * nat ) > nat ).

tff(func_def_2028,type,
    iG573: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2029,type,
    iG574: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2030,type,
    bG575: $o > $o ).

tff(func_def_2031,type,
    bG576: $o > $o ).

tff(func_def_2032,type,
    bG577: $o > $o ).

tff(func_def_2033,type,
    bG578: $o > $o ).

tff(func_def_2034,type,
    iG579: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2035,type,
    iG580: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2036,type,
    bG581: $o > $o ).

tff(func_def_2037,type,
    bG582: $o > $o ).

tff(func_def_2038,type,
    lG583: ( nat * nat ) > nat ).

tff(func_def_2039,type,
    lG584: ( nat * nat ) > nat ).

tff(func_def_2040,type,
    lG585: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2041,type,
    lG586: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2042,type,
    iG587: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2043,type,
    iG588: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2044,type,
    iG589: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2045,type,
    iG590: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2046,type,
    lG591: ( nat * nat ) > nat ).

tff(func_def_2047,type,
    lG592: ( nat * nat ) > nat ).

tff(func_def_2048,type,
    lG593: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2049,type,
    lG594: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2050,type,
    iG595: ( nat * nat ) > option_nat ).

tff(func_def_2051,type,
    iG596: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2052,type,
    iG597: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2053,type,
    iG598: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2054,type,
    iG599: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2055,type,
    lG600: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2056,type,
    iG601: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2057,type,
    lG602: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2058,type,
    iG603: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2059,type,
    lG604: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2060,type,
    lG605: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2061,type,
    lG606: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2062,type,
    lG607: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2063,type,
    lG608: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2064,type,
    iG609: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2065,type,
    iG610: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2066,type,
    iG611: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2067,type,
    iG612: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2068,type,
    iG613: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2069,type,
    iG614: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2070,type,
    iG615: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2071,type,
    lG616: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2072,type,
    iG617: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2073,type,
    lG618: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2074,type,
    iG619: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2075,type,
    lG620: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2076,type,
    lG621: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2077,type,
    lG622: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2078,type,
    lG623: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2079,type,
    lG624: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2080,type,
    iG625: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2081,type,
    iG626: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2082,type,
    iG627: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2083,type,
    iG628: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2084,type,
    iG629: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2085,type,
    iG630: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2086,type,
    iG631: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2087,type,
    bG632: $o > $o ).

tff(func_def_2088,type,
    bG633: $o > $o ).

tff(func_def_2089,type,
    bG634: $o > $o ).

tff(func_def_2090,type,
    bG635: $o > $o ).

tff(func_def_2091,type,
    bG636: $o > $o ).

tff(func_def_2092,type,
    bG637: $o > $o ).

tff(func_def_2093,type,
    bG638: $o > $o ).

tff(func_def_2094,type,
    bG639: $o > $o ).

tff(func_def_2095,type,
    bG640: $o > $o ).

tff(func_def_2096,type,
    bG641: $o > $o ).

tff(func_def_2097,type,
    lG642: ( nat * nat ) > nat ).

tff(func_def_2098,type,
    lG643: ( nat * nat ) > nat ).

tff(func_def_2099,type,
    lG644: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2100,type,
    lG645: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2101,type,
    iG646: ( nat * nat ) > option_nat ).

tff(func_def_2102,type,
    iG647: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2103,type,
    iG648: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2104,type,
    iG649: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2105,type,
    iG650: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2106,type,
    iG651: $o > option_nat ).

tff(func_def_2107,type,
    iG652: ( $o * $o ) > option_nat ).

tff(func_def_2108,type,
    bG653: $o > $o ).

tff(func_def_2109,type,
    bG654: $o > $o ).

tff(func_def_2110,type,
    iG655: $o > option_nat ).

tff(func_def_2111,type,
    bG656: $o > $o ).

tff(func_def_2112,type,
    bG657: $o > $o ).

tff(func_def_2113,type,
    bG658: $o > $o ).

tff(func_def_2114,type,
    bG659: $o > $o ).

tff(func_def_2115,type,
    lG660: ( nat * nat ) > nat ).

tff(func_def_2116,type,
    lG661: ( nat * nat ) > nat ).

tff(func_def_2117,type,
    lG662: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2118,type,
    lG663: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2119,type,
    iG664: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2120,type,
    iG665: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2121,type,
    iG666: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2122,type,
    iG667: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2123,type,
    bG668: $o > $o ).

tff(func_def_2124,type,
    bG669: $o > $o ).

tff(func_def_2125,type,
    iG670: $o > option_nat ).

tff(func_def_2126,type,
    bG671: $o > $o ).

tff(func_def_2127,type,
    bG672: $o > $o ).

tff(func_def_2128,type,
    lG673: ( nat * nat ) > nat ).

tff(func_def_2129,type,
    lG675: ( nat * nat ) > nat ).

tff(func_def_2130,type,
    bG677: $o > $o ).

tff(func_def_2131,type,
    bG678: $o > $o ).

tff(func_def_2132,type,
    lG679: ( nat * nat ) > nat ).

tff(func_def_2133,type,
    lG681: ( nat * nat ) > nat ).

tff(func_def_2134,type,
    bG683: $o > $o ).

tff(func_def_2135,type,
    bG684: $o > $o ).

tff(func_def_2136,type,
    lG685: ( nat * nat ) > nat ).

tff(func_def_2137,type,
    bG689: $o > $o ).

tff(func_def_2138,type,
    bG690: $o > $o ).

tff(func_def_2139,type,
    lG691: ( nat * nat ) > nat ).

tff(func_def_2140,type,
    bG695: $o > $o ).

tff(func_def_2141,type,
    bG696: $o > $o ).

tff(func_def_2142,type,
    lG697: ( nat * nat ) > nat ).

tff(func_def_2143,type,
    bG701: $o > $o ).

tff(func_def_2144,type,
    bG702: $o > $o ).

tff(func_def_2145,type,
    lG703: ( nat * nat ) > nat ).

tff(func_def_2146,type,
    lG705: ( nat * nat ) > nat ).

tff(func_def_2147,type,
    bG707: $o > $o ).

tff(func_def_2148,type,
    bG708: $o > $o ).

tff(func_def_2149,type,
    bG711: $o > $o ).

tff(func_def_2150,type,
    bG712: $o > $o ).

tff(func_def_2151,type,
    lG713: ( nat * nat ) > nat ).

tff(func_def_2152,type,
    lG715: ( nat * nat ) > nat ).

tff(func_def_2153,type,
    lG717: ( nat * nat ) > nat ).

tff(func_def_2154,type,
    lG719: ( nat * nat ) > nat ).

tff(func_def_2155,type,
    lG720: ( nat * nat ) > nat ).

tff(func_def_2156,type,
    lG721: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2157,type,
    lG722: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2158,type,
    iG723: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2159,type,
    iG724: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2160,type,
    iG725: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2161,type,
    iG726: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2162,type,
    bG727: $o > $o ).

tff(func_def_2163,type,
    bG728: $o > $o ).

tff(func_def_2164,type,
    bG729: $o > $o ).

tff(func_def_2165,type,
    bG730: $o > $o ).

tff(func_def_2166,type,
    bG731: $o > $o ).

tff(func_def_2167,type,
    bG732: $o > $o ).

tff(func_def_2168,type,
    iG733: $o > option_nat ).

tff(func_def_2169,type,
    bG734: $o > $o ).

tff(func_def_2170,type,
    bG735: $o > $o ).

tff(func_def_2171,type,
    lG736: ( nat * nat ) > nat ).

tff(func_def_2172,type,
    lG737: ( nat * nat ) > nat ).

tff(func_def_2173,type,
    lG738: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2174,type,
    lG739: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2175,type,
    iG740: ( nat * nat ) > option_nat ).

tff(func_def_2176,type,
    iG741: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2177,type,
    iG742: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2178,type,
    iG743: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2179,type,
    iG744: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2180,type,
    bG745: $o > $o ).

tff(func_def_2181,type,
    bG746: $o > $o ).

tff(func_def_2182,type,
    iG747: $o > option_nat ).

tff(func_def_2183,type,
    iG748: ( $o * $o ) > option_nat ).

tff(func_def_2184,type,
    bG749: $o > $o ).

tff(func_def_2185,type,
    bG750: $o > $o ).

tff(func_def_2186,type,
    bG751: $o > $o ).

tff(func_def_2187,type,
    bG752: $o > $o ).

tff(func_def_2188,type,
    iG753: $o > option_nat ).

tff(func_def_2189,type,
    bG754: $o > $o ).

tff(func_def_2190,type,
    bG755: $o > $o ).

tff(func_def_2191,type,
    bG756: $o > $o ).

tff(func_def_2192,type,
    bG757: $o > $o ).

tff(func_def_2193,type,
    bG758: $o > $o ).

tff(func_def_2194,type,
    bG759: $o > $o ).

tff(func_def_2195,type,
    lG760: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2196,type,
    iG761: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2197,type,
    lG762: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2198,type,
    iG763: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2199,type,
    lG764: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2200,type,
    lG765: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2201,type,
    lG766: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2202,type,
    lG767: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2203,type,
    lG768: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2204,type,
    iG769: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2205,type,
    iG770: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2206,type,
    iG771: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2207,type,
    iG772: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2208,type,
    iG773: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2209,type,
    iG774: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2210,type,
    iG775: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2211,type,
    bG776: $o > $o ).

tff(func_def_2212,type,
    bG777: $o > $o ).

tff(func_def_2213,type,
    bG778: $o > $o ).

tff(func_def_2214,type,
    bG779: $o > $o ).

tff(func_def_2215,type,
    bG780: $o > $o ).

tff(func_def_2216,type,
    bG781: $o > $o ).

tff(func_def_2217,type,
    bG782: $o > $o ).

tff(func_def_2218,type,
    bG783: $o > $o ).

tff(func_def_2219,type,
    bG784: $o > $o ).

tff(func_def_2220,type,
    bG785: $o > $o ).

tff(func_def_2221,type,
    bG786: $o > $o ).

tff(func_def_2222,type,
    bG787: $o > $o ).

tff(func_def_2223,type,
    bG788: $o > $o ).

tff(func_def_2224,type,
    bG789: $o > $o ).

tff(func_def_2225,type,
    bG790: $o > $o ).

tff(func_def_2226,type,
    bG791: $o > $o ).

tff(func_def_2227,type,
    lG792: ( nat * nat ) > nat ).

tff(func_def_2228,type,
    iG793: ( nat * nat ) > nat ).

tff(func_def_2229,type,
    lG794: ( nat * nat * nat ) > nat ).

tff(func_def_2230,type,
    iG795: ( nat * nat ) > nat ).

tff(func_def_2231,type,
    iG796: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2232,type,
    iG797: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2233,type,
    bG798: $o > $o ).

tff(func_def_2234,type,
    bG799: $o > $o ).

tff(func_def_2235,type,
    bG800: $o > $o ).

tff(func_def_2236,type,
    bG801: $o > $o ).

tff(func_def_2237,type,
    bG802: $o > $o ).

tff(func_def_2238,type,
    bG803: $o > $o ).

tff(func_def_2239,type,
    iG804: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2240,type,
    iG805: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2241,type,
    bG806: $o > $o ).

tff(func_def_2242,type,
    bG807: $o > $o ).

tff(func_def_2243,type,
    lG808: ( nat * nat ) > nat ).

tff(func_def_2244,type,
    bG809: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2245,type,
    iG810: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2246,type,
    iG811: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2247,type,
    iG812: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2248,type,
    iG813: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2249,type,
    iG814: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2250,type,
    bG815: $o > $o ).

tff(func_def_2251,type,
    bG816: $o > $o ).

tff(func_def_2252,type,
    bG817: $o > $o ).

tff(func_def_2253,type,
    bG818: $o > $o ).

tff(func_def_2254,type,
    iG819: ( nat * $o ) > $o ).

tff(func_def_2255,type,
    iG820: ( nat * $o * $o ) > $o ).

tff(func_def_2256,type,
    bG821: $o > $o ).

tff(func_def_2257,type,
    bG822: $o > $o ).

tff(func_def_2258,type,
    lG823: ( nat * nat ) > nat ).

tff(func_def_2259,type,
    bG831: $o > $o ).

tff(func_def_2260,type,
    bG832: $o > $o ).

tff(func_def_2261,type,
    bG833: $o > $o ).

tff(func_def_2262,type,
    bG834: $o > $o ).

tff(func_def_2263,type,
    lG835: ( nat * nat ) > nat ).

tff(func_def_2264,type,
    bG836: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2265,type,
    iG837: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2266,type,
    bG838: $o > $o ).

tff(func_def_2267,type,
    bG839: $o > $o ).

tff(func_def_2268,type,
    bG840: $o > $o ).

tff(func_def_2269,type,
    bG841: $o > $o ).

tff(func_def_2270,type,
    iG842: ( nat * $o ) > $o ).

tff(func_def_2271,type,
    iG843: ( nat * $o * $o ) > $o ).

tff(func_def_2272,type,
    bG844: $o > $o ).

tff(func_def_2273,type,
    bG845: $o > $o ).

tff(func_def_2274,type,
    lG846: ( nat * nat ) > nat ).

tff(func_def_2275,type,
    bG850: $o > $o ).

tff(func_def_2276,type,
    bG851: $o > $o ).

tff(func_def_2277,type,
    bG852: $o > $o ).

tff(func_def_2278,type,
    bG853: $o > $o ).

tff(func_def_2279,type,
    lG854: ( nat * nat ) > nat ).

tff(func_def_2280,type,
    bG858: $o > $o ).

tff(func_def_2281,type,
    bG859: $o > $o ).

tff(func_def_2282,type,
    bG860: $o > $o ).

tff(func_def_2283,type,
    bG861: $o > $o ).

tff(func_def_2284,type,
    lG862: ( nat * nat ) > nat ).

tff(func_def_2285,type,
    bG870: $o > $o ).

tff(func_def_2286,type,
    bG871: $o > $o ).

tff(func_def_2287,type,
    bG872: $o > $o ).

tff(func_def_2288,type,
    bG873: $o > $o ).

tff(func_def_2289,type,
    lG874: ( nat * nat ) > nat ).

tff(func_def_2290,type,
    bG875: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2291,type,
    iG876: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2292,type,
    lG877: ( nat * nat ) > nat ).

tff(func_def_2293,type,
    bG879: $o > $o ).

tff(func_def_2294,type,
    bG880: $o > $o ).

tff(func_def_2295,type,
    bG881: $o > $o ).

tff(func_def_2296,type,
    bG882: $o > $o ).

tff(func_def_2297,type,
    lG883: ( nat * nat ) > nat ).

tff(func_def_2298,type,
    lG885: ( nat * nat ) > nat ).

tff(func_def_2299,type,
    bG887: $o > $o ).

tff(func_def_2300,type,
    bG888: $o > $o ).

tff(func_def_2301,type,
    bG889: $o > $o ).

tff(func_def_2302,type,
    bG890: $o > $o ).

tff(func_def_2303,type,
    lG891: ( nat * nat ) > nat ).

tff(func_def_2304,type,
    lG893: ( nat * nat ) > nat ).

tff(func_def_2305,type,
    bG895: ( list_o * nat ) > $o ).

tff(func_def_2306,type,
    bG896: ( list_o * nat ) > $o ).

tff(func_def_2307,type,
    bG897: ( list_nat * nat * list_o ) > $o ).

tff(func_def_2308,type,
    bG898: ( list_VEBT_VEBT * nat * list_o ) > $o ).

tff(func_def_2309,type,
    iG901: nat > nat ).

tff(func_def_2310,type,
    iG902: int > int ).

tff(func_def_2311,type,
    iG903: code_integer > code_integer ).

tff(func_def_2312,type,
    iG904: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2313,type,
    iG905: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2314,type,
    iG906: ( set_nat * set_nat ) > set_nat ).

tff(func_def_2315,type,
    iG907: ( rat * rat ) > rat ).

tff(func_def_2316,type,
    iG908: ( num * num ) > num ).

tff(func_def_2317,type,
    iG909: ( nat * nat ) > nat ).

tff(func_def_2318,type,
    iG910: ( int * int ) > int ).

tff(func_def_2319,type,
    lG911: nat > nat ).

tff(func_def_2320,type,
    lG912: nat > nat ).

tff(func_def_2321,type,
    iG913: nat > vEBT_VEBT ).

tff(func_def_2322,type,
    iG914: ( nat * code_integer ) > code_integer ).

tff(func_def_2323,type,
    iG915: ( nat * int ) > int ).

tff(func_def_2324,type,
    bG916: $o > $o ).

tff(func_def_2325,type,
    iG917: ( num * num ) > real ).

tff(func_def_2326,type,
    iG918: ( num * num ) > code_integer ).

tff(func_def_2327,type,
    iG919: ( num * num ) > rat ).

tff(func_def_2328,type,
    iG920: ( num * num ) > int ).

tff(func_def_2329,type,
    iG921: ( num * num ) > real ).

tff(func_def_2330,type,
    iG922: ( num * num ) > code_integer ).

tff(func_def_2331,type,
    iG923: ( num * num ) > rat ).

tff(func_def_2332,type,
    iG924: ( num * num ) > int ).

tff(func_def_2333,type,
    iG925: ( num * num ) > real ).

tff(func_def_2334,type,
    iG926: ( num * num ) > code_integer ).

tff(func_def_2335,type,
    iG927: ( num * num ) > rat ).

tff(func_def_2336,type,
    iG928: ( num * num ) > int ).

tff(func_def_2337,type,
    iG935: real > real ).

tff(func_def_2338,type,
    iG936: int > int ).

tff(func_def_2339,type,
    iG937: code_integer > code_integer ).

tff(func_def_2340,type,
    iG938: rat > rat ).

tff(func_def_2341,type,
    iG939: real > real ).

tff(func_def_2342,type,
    iG940: int > int ).

tff(func_def_2343,type,
    iG941: code_integer > code_integer ).

tff(func_def_2344,type,
    iG942: rat > rat ).

tff(func_def_2345,type,
    iG943: real > real ).

tff(func_def_2346,type,
    bG944: $o > $o ).

tff(func_def_2347,type,
    bG945: $o > $o ).

tff(func_def_2348,type,
    bG946: $o > $o ).

tff(func_def_2349,type,
    bG947: $o > $o ).

tff(func_def_2350,type,
    iG954: ( int * int ) > int ).

tff(func_def_2351,type,
    iG955: ( int * int ) > int ).

tff(func_def_2352,type,
    iG970: ( real * real * real ) > real ).

tff(func_def_2353,type,
    iG971: ( complex * complex * complex ) > complex ).

tff(func_def_2354,type,
    iG972: ( rat * rat * rat ) > rat ).

tff(func_def_2355,type,
    iG973: ( real * real * real ) > real ).

tff(func_def_2356,type,
    iG974: ( complex * complex * complex ) > complex ).

tff(func_def_2357,type,
    iG975: ( rat * rat * rat ) > rat ).

tff(func_def_2358,type,
    iG976: ( real * real * real ) > real ).

tff(func_def_2359,type,
    iG977: ( complex * complex * complex ) > complex ).

tff(func_def_2360,type,
    iG978: ( rat * rat * rat ) > rat ).

tff(func_def_2361,type,
    iG979: ( nat * real ) > real ).

tff(func_def_2362,type,
    iG980: ( nat * int ) > int ).

tff(func_def_2363,type,
    iG981: ( nat * complex ) > complex ).

tff(func_def_2364,type,
    iG982: ( nat * code_integer ) > code_integer ).

tff(func_def_2365,type,
    iG983: ( nat * rat ) > rat ).

tff(func_def_2366,type,
    iG1000: nat > real ).

tff(func_def_2367,type,
    iG1001: nat > int ).

tff(func_def_2368,type,
    iG1002: nat > complex ).

tff(func_def_2369,type,
    iG1003: nat > code_integer ).

tff(func_def_2370,type,
    iG1004: nat > rat ).

tff(func_def_2371,type,
    iG1005: ( int * int ) > int ).

tff(func_def_2372,type,
    iG1006: ( int * int ) > int ).

tff(func_def_2373,type,
    iG1007: ( int * int ) > int ).

tff(func_def_2374,type,
    iG1008: ( int * int ) > int ).

tff(func_def_2375,type,
    lG1017: nat > nat ).

tff(func_def_2376,type,
    lG1018: nat > nat ).

tff(func_def_2377,type,
    iG1019: nat > vEBT_VEBT ).

tff(func_def_2378,type,
    lG1020: nat > nat ).

tff(func_def_2379,type,
    lG1021: nat > nat ).

tff(func_def_2380,type,
    iG1022: nat > vEBT_VEBT ).

tff(func_def_2381,type,
    bG1023: code_integer > $o ).

tff(func_def_2382,type,
    bG1024: int > $o ).

tff(func_def_2383,type,
    bG1025: nat > $o ).

tff(func_def_2384,type,
    bG1026: $o > $o ).

tff(func_def_2385,type,
    bG1027: $o > $o ).

tff(func_def_2386,type,
    bG1028: $o > $o ).

tff(func_def_2387,type,
    bG1029: $o > $o ).

tff(func_def_2388,type,
    bG1030: $o > $o ).

tff(func_def_2389,type,
    bG1031: $o > $o ).

tff(func_def_2390,type,
    bG1032: $o > $o ).

tff(func_def_2391,type,
    bG1033: $o > $o ).

tff(func_def_2392,type,
    bG1034: $o > $o ).

tff(func_def_2393,type,
    bG1035: $o > $o ).

tff(func_def_2394,type,
    bG1036: $o > $o ).

tff(func_def_2395,type,
    bG1037: $o > $o ).

tff(func_def_2396,type,
    bG1038: $o > $o ).

tff(func_def_2397,type,
    bG1039: $o > $o ).

tff(func_def_2398,type,
    bG1040: $o > $o ).

tff(func_def_2399,type,
    bG1041: $o > $o ).

tff(func_def_2400,type,
    bG1042: $o > $o ).

tff(func_def_2401,type,
    bG1043: $o > $o ).

tff(func_def_2402,type,
    bG1044: $o > $o ).

tff(func_def_2403,type,
    bG1045: $o > $o ).

tff(func_def_2404,type,
    bG1046: $o > $o ).

tff(func_def_2405,type,
    bG1047: $o > $o ).

tff(func_def_2406,type,
    bG1048: $o > $o ).

tff(func_def_2407,type,
    bG1049: $o > $o ).

tff(func_def_2408,type,
    bG1050: $o > $o ).

tff(func_def_2409,type,
    bG1051: $o > $o ).

tff(func_def_2410,type,
    bG1052: $o > $o ).

tff(func_def_2411,type,
    bG1053: $o > $o ).

tff(func_def_2412,type,
    bG1054: $o > $o ).

tff(func_def_2413,type,
    bG1055: $o > $o ).

tff(func_def_2414,type,
    bG1056: $o > $o ).

tff(func_def_2415,type,
    bG1057: $o > $o ).

tff(func_def_2416,type,
    bG1058: $o > $o ).

tff(func_def_2417,type,
    bG1059: $o > $o ).

tff(func_def_2418,type,
    bG1060: $o > $o ).

tff(func_def_2419,type,
    bG1061: $o > $o ).

tff(func_def_2420,type,
    bG1062: $o > $o ).

tff(func_def_2421,type,
    bG1063: $o > $o ).

tff(func_def_2422,type,
    bG1064: ( $o * $o ) > $o ).

tff(func_def_2423,type,
    bG1065: $o > $o ).

tff(func_def_2424,type,
    bG1066: $o > $o ).

tff(func_def_2425,type,
    bG1067: ( $o * $o ) > $o ).

tff(func_def_2426,type,
    bG1068: $o > $o ).

tff(func_def_2427,type,
    bG1069: $o > $o ).

tff(func_def_2428,type,
    bG1070: ( $o * $o ) > $o ).

tff(func_def_2429,type,
    bG1071: $o > $o ).

tff(func_def_2430,type,
    bG1072: $o > $o ).

tff(func_def_2431,type,
    bG1073: $o > $o ).

tff(func_def_2432,type,
    bG1074: $o > $o ).

tff(func_def_2433,type,
    bG1075: $o > $o ).

tff(func_def_2434,type,
    bG1076: $o > $o ).

tff(func_def_2435,type,
    bG1077: $o > $o ).

tff(func_def_2436,type,
    bG1078: $o > $o ).

tff(func_def_2437,type,
    bG1079: $o > $o ).

tff(func_def_2438,type,
    bG1080: $o > $o ).

tff(func_def_2439,type,
    bG1081: $o > $o ).

tff(func_def_2440,type,
    bG1082: $o > $o ).

tff(func_def_2441,type,
    bG1083: $o > $o ).

tff(func_def_2442,type,
    bG1084: $o > $o ).

tff(func_def_2443,type,
    bG1085: $o > $o ).

tff(func_def_2444,type,
    bG1086: $o > $o ).

tff(func_def_2445,type,
    bG1087: $o > $o ).

tff(func_def_2446,type,
    bG1088: $o > $o ).

tff(func_def_2447,type,
    bG1089: $o > $o ).

tff(func_def_2448,type,
    bG1090: $o > $o ).

tff(func_def_2449,type,
    bG1091: $o > $o ).

tff(func_def_2450,type,
    bG1092: $o > $o ).

tff(func_def_2451,type,
    bG1093: nat > $o ).

tff(func_def_2452,type,
    bG1094: $o > $o ).

tff(func_def_2453,type,
    bG1095: $o > $o ).

tff(func_def_2454,type,
    bG1096: $o > $o ).

tff(func_def_2455,type,
    bG1097: $o > $o ).

tff(func_def_2456,type,
    bG1098: $o > $o ).

tff(func_def_2457,type,
    bG1099: $o > $o ).

tff(func_def_2458,type,
    bG1100: nat > $o ).

tff(func_def_2459,type,
    bG1101: nat > $o ).

tff(func_def_2460,type,
    bG1102: nat > $o ).

tff(func_def_2461,type,
    bG1103: nat > $o ).

tff(func_def_2462,type,
    bG1104: nat > $o ).

tff(func_def_2463,type,
    bG1105: nat > $o ).

tff(func_def_2464,type,
    bG1106: nat > $o ).

tff(func_def_2465,type,
    bG1107: nat > $o ).

tff(func_def_2466,type,
    bG1108: nat > $o ).

tff(func_def_2467,type,
    bG1109: $o > $o ).

tff(func_def_2468,type,
    bG1110: $o > $o ).

tff(func_def_2469,type,
    bG1111: $o > $o ).

tff(func_def_2470,type,
    bG1112: $o > $o ).

tff(func_def_2471,type,
    bG1113: $o > $o ).

tff(func_def_2472,type,
    bG1114: $o > $o ).

tff(func_def_2473,type,
    bG1115: ( $o * $o ) > $o ).

tff(func_def_2474,type,
    bG1116: $o > $o ).

tff(func_def_2475,type,
    bG1117: $o > $o ).

tff(func_def_2476,type,
    bG1118: ( $o * $o ) > $o ).

tff(func_def_2477,type,
    bG1119: $o > $o ).

tff(func_def_2478,type,
    bG1120: $o > $o ).

tff(func_def_2479,type,
    bG1121: ( $o * $o ) > $o ).

tff(func_def_2480,type,
    bG1122: $o > $o ).

tff(func_def_2481,type,
    bG1123: $o > $o ).

tff(func_def_2482,type,
    bG1124: ( $o * $o ) > $o ).

tff(func_def_2483,type,
    bG1125: $o > $o ).

tff(func_def_2484,type,
    bG1126: $o > $o ).

tff(func_def_2485,type,
    bG1127: ( $o * $o ) > $o ).

tff(func_def_2486,type,
    bG1128: $o > $o ).

tff(func_def_2487,type,
    bG1129: $o > $o ).

tff(func_def_2488,type,
    bG1130: $o > $o ).

tff(func_def_2489,type,
    bG1131: $o > $o ).

tff(func_def_2490,type,
    bG1132: $o > $o ).

tff(func_def_2491,type,
    bG1133: $o > $o ).

tff(func_def_2492,type,
    bG1134: $o > $o ).

tff(func_def_2493,type,
    bG1135: $o > $o ).

tff(func_def_2494,type,
    bG1136: $o > $o ).

tff(func_def_2495,type,
    bG1137: $o > $o ).

tff(func_def_2496,type,
    bG1138: $o > $o ).

tff(func_def_2497,type,
    bG1139: $o > $o ).

tff(func_def_2498,type,
    bG1140: $o > $o ).

tff(func_def_2499,type,
    bG1141: $o > $o ).

tff(func_def_2500,type,
    bG1142: $o > $o ).

tff(func_def_2501,type,
    bG1143: $o > $o ).

tff(func_def_2502,type,
    bG1144: $o > $o ).

tff(func_def_2503,type,
    bG1145: $o > $o ).

tff(func_def_2504,type,
    bG1146: $o > $o ).

tff(func_def_2505,type,
    bG1147: $o > $o ).

tff(func_def_2506,type,
    bG1148: $o > $o ).

tff(func_def_2507,type,
    bG1149: $o > $o ).

tff(func_def_2508,type,
    bG1150: $o > $o ).

tff(func_def_2509,type,
    bG1151: $o > $o ).

tff(func_def_2510,type,
    bG1152: $o > $o ).

tff(func_def_2511,type,
    iG1153: $o > complex ).

tff(func_def_2512,type,
    bG1154: $o > $o ).

tff(func_def_2513,type,
    iG1155: $o > real ).

tff(func_def_2514,type,
    bG1156: $o > $o ).

tff(func_def_2515,type,
    iG1157: $o > rat ).

tff(func_def_2516,type,
    bG1158: $o > $o ).

tff(func_def_2517,type,
    iG1159: $o > nat ).

tff(func_def_2518,type,
    bG1160: $o > $o ).

tff(func_def_2519,type,
    iG1161: $o > int ).

tff(func_def_2520,type,
    bG1162: $o > $o ).

tff(func_def_2521,type,
    iG1163: $o > code_integer ).

tff(func_def_2522,type,
    iG1164: int > int ).

tff(func_def_2523,type,
    lG1165: num > complex ).

tff(func_def_2524,type,
    lG1166: num > real ).

tff(func_def_2525,type,
    lG1167: num > rat ).

tff(func_def_2526,type,
    lG1168: num > nat ).

tff(func_def_2527,type,
    lG1169: num > int ).

tff(func_def_2528,type,
    lG1170: ( complex * num ) > complex ).

tff(func_def_2529,type,
    lG1171: ( real * num ) > real ).

tff(func_def_2530,type,
    lG1172: ( rat * num ) > rat ).

tff(func_def_2531,type,
    lG1173: ( nat * num ) > nat ).

tff(func_def_2532,type,
    lG1174: ( int * num ) > int ).

tff(func_def_2533,type,
    bG1175: nat > $o ).

tff(func_def_2534,type,
    bG1176: int > $o ).

tff(func_def_2535,type,
    bG1177: code_integer > $o ).

tff(func_def_2536,type,
    bG1178: $o > $o ).

tff(func_def_2537,type,
    bG1179: $o > $o ).

tff(func_def_2538,type,
    bG1180: $o > $o ).

tff(func_def_2539,type,
    bG1181: $o > $o ).

tff(func_def_2540,type,
    bG1182: $o > $o ).

tff(func_def_2541,type,
    bG1183: $o > $o ).

tff(func_def_2542,type,
    bG1184: ( nat * nat ) > $o ).

tff(func_def_2543,type,
    bG1185: ( nat * nat ) > $o ).

tff(func_def_2544,type,
    bG1186: ( nat * nat ) > $o ).

tff(func_def_2545,type,
    bG1187: ( nat * nat ) > $o ).

tff(func_def_2546,type,
    bG1188: ( nat * nat ) > $o ).

tff(func_def_2547,type,
    bG1189: ( nat * nat ) > $o ).

tff(func_def_2548,type,
    iG1190: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2549,type,
    iG1191: ( num * num ) > product_prod_int_int ).

tff(func_def_2550,type,
    iG1192: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2551,type,
    iG1193: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2552,type,
    iG1194: ( num * num ) > product_prod_int_int ).

tff(func_def_2553,type,
    iG1195: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2554,type,
    iG1196: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2555,type,
    iG1197: ( num * num ) > product_prod_int_int ).

tff(func_def_2556,type,
    iG1198: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2557,type,
    bG1199: int > $o ).

tff(func_def_2558,type,
    lG1200: int > real ).

tff(func_def_2559,type,
    iG1201: int > real ).

tff(func_def_2560,type,
    iG1202: int > real ).

tff(func_def_2561,type,
    iG1203: int > real ).

tff(func_def_2562,type,
    lG1204: int > int ).

tff(func_def_2563,type,
    iG1205: int > int ).

tff(func_def_2564,type,
    iG1206: int > int ).

tff(func_def_2565,type,
    iG1207: int > int ).

tff(func_def_2566,type,
    lG1208: int > complex ).

tff(func_def_2567,type,
    iG1209: int > complex ).

tff(func_def_2568,type,
    iG1210: int > complex ).

tff(func_def_2569,type,
    iG1211: int > complex ).

tff(func_def_2570,type,
    lG1212: int > code_integer ).

tff(func_def_2571,type,
    iG1213: int > code_integer ).

tff(func_def_2572,type,
    iG1214: int > code_integer ).

tff(func_def_2573,type,
    iG1215: int > code_integer ).

tff(func_def_2574,type,
    lG1216: int > rat ).

tff(func_def_2575,type,
    iG1217: int > rat ).

tff(func_def_2576,type,
    iG1218: int > rat ).

tff(func_def_2577,type,
    iG1219: int > rat ).

tff(func_def_2578,type,
    iG1220: ( set_real * real * fun_real_complex ) > complex ).

tff(func_def_2579,type,
    iG1221: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2580,type,
    iG1222: ( set_int * int * fun_int_complex ) > complex ).

tff(func_def_2581,type,
    iG1223: ( set_real * real * fun_real_real ) > real ).

tff(func_def_2582,type,
    iG1224: ( set_int * int * fun_int_real ) > real ).

tff(func_def_2583,type,
    iG1225: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_2584,type,
    iG1226: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_2585,type,
    iG1227: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2586,type,
    iG1228: ( set_int * int * fun_int_rat ) > rat ).

tff(func_def_2587,type,
    iG1229: ( set_complex * complex * fun_complex_rat ) > rat ).

tff(func_def_2588,type,
    iG1230: ( set_real * real * fun_real_complex ) > complex ).

tff(func_def_2589,type,
    iG1231: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2590,type,
    iG1232: ( set_int * int * fun_int_complex ) > complex ).

tff(func_def_2591,type,
    iG1233: ( set_real * real * fun_real_real ) > real ).

tff(func_def_2592,type,
    iG1234: ( set_int * int * fun_int_real ) > real ).

tff(func_def_2593,type,
    iG1235: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_2594,type,
    iG1236: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_2595,type,
    iG1237: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2596,type,
    iG1238: ( set_int * int * fun_int_rat ) > rat ).

tff(func_def_2597,type,
    iG1239: ( set_complex * complex * fun_complex_rat ) > rat ).

tff(func_def_2598,type,
    bG1240: ( int * int * fun_int_fun_int_o ) > $o ).

tff(func_def_2599,type,
    bG1241: ( product_prod_int_int * fun_int_fun_int_o ) > $o ).

tff(func_def_2600,type,
    iG1242: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2601,type,
    iG1243: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2602,type,
    iG1244: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2603,type,
    iG1245: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2604,type,
    iG1246: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2605,type,
    iG1247: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2606,type,
    iG1248: ( set_nat * fun_nat_complex ) > complex ).

tff(func_def_2607,type,
    iG1249: ( set_nat * fun_nat_rat ) > rat ).

tff(func_def_2608,type,
    iG1250: ( set_nat * fun_nat_real ) > real ).

tff(func_def_2609,type,
    iG1251: ( set_nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_2610,type,
    iG1252: ( set_nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2611,type,
    iG1253: ( set_nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2612,type,
    iG1254: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2613,type,
    iG1255: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2614,type,
    iG1256: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2615,type,
    iG1257: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2616,type,
    iG1258: ( complex * nat * nat ) > complex ).

tff(func_def_2617,type,
    iG1259: ( nat * nat * complex ) > complex ).

tff(func_def_2618,type,
    iG1260: ( rat * nat * nat ) > rat ).

tff(func_def_2619,type,
    iG1261: ( nat * nat * rat ) > rat ).

tff(func_def_2620,type,
    iG1262: ( real * nat * nat ) > real ).

tff(func_def_2621,type,
    iG1263: ( nat * nat * real ) > real ).

tff(func_def_2622,type,
    iG1264: ( complex * nat * nat ) > complex ).

tff(func_def_2623,type,
    iG1265: ( rat * nat * nat ) > rat ).

tff(func_def_2624,type,
    iG1266: ( real * nat * nat ) > real ).

tff(func_def_2625,type,
    bG1267: $o > $o ).

tff(func_def_2626,type,
    bG1268: $o > $o ).

tff(func_def_2627,type,
    bG1269: $o > $o ).

tff(func_def_2628,type,
    bG1270: $o > $o ).

tff(func_def_2629,type,
    bG1271: $o > $o ).

tff(func_def_2630,type,
    bG1272: $o > $o ).

tff(func_def_2631,type,
    bG1273: $o > $o ).

tff(func_def_2632,type,
    bG1274: $o > $o ).

tff(func_def_2633,type,
    bG1275: $o > $o ).

tff(func_def_2634,type,
    bG1276: $o > $o ).

tff(func_def_2635,type,
    bG1277: $o > $o ).

tff(func_def_2636,type,
    bG1278: $o > $o ).

tff(func_def_2637,type,
    iG1279: ( nat * nat ) > int ).

tff(func_def_2638,type,
    iG1280: nat > complex ).

tff(func_def_2639,type,
    iG1281: nat > real ).

tff(func_def_2640,type,
    iG1282: nat > rat ).

tff(func_def_2641,type,
    iG1283: nat > nat ).

tff(func_def_2642,type,
    iG1284: nat > int ).

tff(func_def_2643,type,
    iG1285: ( $o * nat * nat ) > nat ).

tff(func_def_2644,type,
    iG1286: ( $o * nat * nat ) > int ).

tff(func_def_2645,type,
    iG1287: ( complex * nat ) > complex ).

tff(func_def_2646,type,
    iG1288: ( rat * nat ) > rat ).

tff(func_def_2647,type,
    iG1289: ( real * nat ) > real ).

tff(func_def_2648,type,
    iG1290: int > real ).

tff(func_def_2649,type,
    iG1291: nat > complex ).

tff(func_def_2650,type,
    iG1292: nat > real ).

tff(func_def_2651,type,
    iG1293: nat > rat ).

tff(func_def_2652,type,
    iG1294: nat > nat ).

tff(func_def_2653,type,
    iG1295: nat > int ).

tff(func_def_2654,type,
    iG1296: ( nat * complex ) > complex ).

tff(func_def_2655,type,
    iG1297: ( nat * real ) > real ).

tff(func_def_2656,type,
    iG1298: ( nat * rat ) > rat ).

tff(func_def_2657,type,
    iG1299: ( nat * int ) > int ).

tff(func_def_2658,type,
    iG1300: ( nat * nat ) > nat ).

tff(func_def_2659,type,
    iG1301: nat > real ).

tff(func_def_2660,type,
    iG1302: nat > real ).

tff(func_def_2661,type,
    iG1303: ( nat * nat ) > nat ).

tff(func_def_2662,type,
    iG1304: ( nat * nat ) > nat ).

tff(func_def_2663,type,
    bG1305: ( nat * nat ) > $o ).

tff(func_def_2664,type,
    iG1306: ( int * int * nat * nat ) > int ).

tff(func_def_2665,type,
    iG1307: ( int * int * nat * nat ) > int ).

tff(func_def_2666,type,
    iG1308: int > int ).

tff(func_def_2667,type,
    iG1309: int > int ).

tff(func_def_2668,type,
    bG1310: ( int * int ) > $o ).

tff(func_def_2669,type,
    bG1311: ( nat * nat ) > $o ).

tff(func_def_2670,type,
    iG1312: ( int * int * nat * nat ) > int ).

tff(func_def_2671,type,
    iG1313: ( int * int * nat * nat ) > int ).

tff(func_def_2672,type,
    bG1314: ( int * int ) > $o ).

tff(func_def_2673,type,
    iG1315: ( int * int ) > int ).

tff(func_def_2674,type,
    iG1316: ( int * int ) > int ).

tff(func_def_2675,type,
    bG1317: ( int * int ) > $o ).

tff(func_def_2676,type,
    iG1318: ( int * int ) > int ).

tff(func_def_2677,type,
    iG1319: ( int * int ) > int ).

tff(func_def_2678,type,
    iG1320: int > int ).

tff(func_def_2679,type,
    iG1321: real > real ).

tff(func_def_2680,type,
    iG1322: real > real ).

tff(func_def_2681,type,
    iG1325: ( nat * nat ) > nat ).

tff(func_def_2682,type,
    lG1326: ( int * int ) > int ).

tff(func_def_2683,type,
    iG1327: ( int * int ) > nat ).

tff(func_def_2684,type,
    iG1328: ( int * int ) > nat ).

tff(func_def_2685,type,
    iG1330: ( int * real ) > real ).

tff(func_def_2686,type,
    iG1331: ( int * real ) > real ).

tff(func_def_2687,type,
    iG1332: ( int * int ) > int ).

tff(func_def_2688,type,
    iG1333: ( int * int ) > int ).

tff(func_def_2689,type,
    iG1334: ( int * int ) > int ).

tff(func_def_2690,type,
    iG1335: complex > real ).

tff(func_def_2691,type,
    bG1336: nat > $o ).

tff(func_def_2692,type,
    bG1337: ( int * int ) > $o ).

tff(func_def_2693,type,
    bG1338: ( int * int ) > $o ).

tff(func_def_2694,type,
    bG1339: ( int * int ) > $o ).

tff(func_def_2695,type,
    iG1340: ( int * int ) > int ).

tff(func_def_2696,type,
    bG1341: ( int * int ) > $o ).

tff(func_def_2697,type,
    bG1342: ( int * int ) > $o ).

tff(func_def_2698,type,
    iG1343: ( int * int ) > int ).

tff(func_def_2699,type,
    iG1344: ( int * int ) > set_int ).

tff(func_def_2700,type,
    iG1345: ( nat * nat ) > nat ).

tff(func_def_2701,type,
    bG1346: ( nat * nat ) > $o ).

tff(func_def_2702,type,
    bG1347: ( int * int ) > $o ).

tff(func_def_2703,type,
    bG1348: ( int * int ) > $o ).

tff(func_def_2704,type,
    iG1349: ( int * int ) > int ).

tff(func_def_2705,type,
    bG1350: ( int * int ) > $o ).

tff(func_def_2706,type,
    bG1351: ( int * int ) > $o ).

tff(func_def_2707,type,
    iG1352: ( int * int ) > int ).

tff(func_def_2708,type,
    bG1353: ( nat * int ) > $o ).

tff(func_def_2709,type,
    iG1354: ( int * int ) > int ).

tff(func_def_2710,type,
    iG1355: ( int * int ) > int ).

tff(func_def_2711,type,
    iG1356: ( int * int ) > int ).

tff(func_def_2712,type,
    bG1357: ( nat * int ) > $o ).

tff(func_def_2713,type,
    bG1358: ( int * int ) > $o ).

tff(func_def_2714,type,
    bG1359: ( nat * int ) > $o ).

tff(func_def_2715,type,
    bG1360: ( nat * int ) > $o ).

tff(func_def_2716,type,
    bG1361: ( nat * int ) > $o ).

tff(func_def_2717,type,
    bG1362: nat > $o ).

tff(func_def_2718,type,
    bG1363: nat > $o ).

tff(func_def_2719,type,
    bG1364: ( nat * nat ) > $o ).

tff(func_def_2720,type,
    iG1365: ( nat * nat ) > nat ).

tff(func_def_2721,type,
    iG1366: ( nat * nat ) > nat ).

tff(func_def_2722,type,
    bG1367: nat > $o ).

tff(func_def_2723,type,
    bG1368: nat > $o ).

tff(func_def_2724,type,
    bG1369: nat > $o ).

tff(func_def_2725,type,
    bG1370: nat > $o ).

tff(func_def_2726,type,
    iG1371: ( nat * nat ) > nat ).

tff(func_def_2727,type,
    iG1372: ( nat * nat ) > nat ).

tff(func_def_2728,type,
    bG1373: ( nat * nat ) > $o ).

tff(func_def_2729,type,
    bG1374: ( int * int ) > $o ).

tff(func_def_2730,type,
    iG1375: ( int * int ) > int ).

tff(func_def_2731,type,
    iG1376: ( int * int ) > int ).

tff(func_def_2732,type,
    iG1377: ( int * int ) > int ).

tff(func_def_2733,type,
    iG1378: ( int * int ) > int ).

tff(func_def_2734,type,
    iG1379: ( nat * nat ) > set_nat ).

tff(func_def_2735,type,
    iG1380: ( num * nat ) > set_nat ).

tff(func_def_2736,type,
    bG1381: int > $o ).

tff(func_def_2737,type,
    bG1382: $o > $o ).

tff(func_def_2738,type,
    bG1383: $o > $o ).

tff(func_def_2739,type,
    bG1384: $o > $o ).

tff(func_def_2740,type,
    bG1385: $o > $o ).

tff(func_def_2741,type,
    iG1386: complex > real ).

tff(func_def_2742,type,
    iG1387: complex > real ).

tff(func_def_2743,type,
    iG1388: code_integer > code_integer ).

tff(func_def_2744,type,
    iG1389: code_integer > code_integer ).

tff(func_def_2745,type,
    lG1390: int > code_integer ).

tff(func_def_2746,type,
    iG1391: int > code_integer ).

tff(func_def_2747,type,
    iG1392: int > code_integer ).

tff(func_def_2748,type,
    iG1393: int > code_integer ).

tff(func_def_2749,type,
    iG1394: code_integer > code_integer ).

tff(func_def_2750,type,
    iG1395: rat > rat ).

tff(func_def_2751,type,
    iG1396: rat > rat ).

tff(func_def_2752,type,
    iG1397: rat > rat ).

tff(func_def_2753,type,
    lG1398: num > code_integer ).

tff(func_def_2754,type,
    iG1399: code_integer > int ).

tff(func_def_2755,type,
    iG1400: code_integer > int ).

tff(func_def_2756,type,
    lG1401: num > code_integer ).

tff(func_def_2757,type,
    iG1402: code_integer > num ).

tff(func_def_2758,type,
    iG1403: code_integer > nat ).

tff(func_def_2759,type,
    bG1404: code_integer > $o ).

tff(func_def_2760,type,
    iG1405: code_integer > produc6271795597528267376eger_o ).

tff(func_def_2761,type,
    iG1406: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2762,type,
    iG1407: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2763,type,
    iG1408: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2764,type,
    iG1409: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2765,type,
    iG1410: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2766,type,
    bG1411: $o > $o ).

tff(func_def_2767,type,
    bG1412: $o > $o ).

tff(func_def_2768,type,
    iG1413: $o > option_nat ).

tff(func_def_2769,type,
    iG1414: ( $o * $o ) > option_nat ).

tff(func_def_2770,type,
    bG1415: $o > $o ).

tff(func_def_2771,type,
    bG1416: $o > $o ).

tff(func_def_2772,type,
    iG1417: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2773,type,
    bG1418: nat > $o ).

tff(func_def_2774,type,
    iG1419: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2775,type,
    bG1420: $o > $o ).

tff(func_def_2776,type,
    bG1421: $o > $o ).

tff(func_def_2777,type,
    iG1422: $o > option_nat ).

tff(func_def_2778,type,
    iG1423: ( $o * $o ) > option_nat ).

tff(func_def_2779,type,
    bG1424: $o > $o ).

tff(func_def_2780,type,
    bG1425: $o > $o ).

tff(func_def_2781,type,
    bG1426: $o > $o ).

tff(func_def_2782,type,
    bG1427: $o > $o ).

tff(func_def_2783,type,
    bG1428: $o > $o ).

tff(func_def_2784,type,
    bG1429: $o > $o ).

tff(func_def_2785,type,
    bG1430: $o > $o ).

tff(func_def_2786,type,
    bG1431: $o > $o ).

tff(func_def_2787,type,
    bG1432: $o > $o ).

tff(func_def_2788,type,
    bG1433: $o > $o ).

tff(func_def_2789,type,
    iG1434: ( int * int ) > int ).

tff(func_def_2790,type,
    iG1435: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2791,type,
    iG1436: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2792,type,
    iG1437: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2793,type,
    iG1438: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2794,type,
    lG1439: product_prod_int_int > int ).

tff(func_def_2795,type,
    lG1440: product_prod_int_int > int ).

tff(func_def_2796,type,
    iG1441: product_prod_int_int > product_prod_int_int ).

tff(func_def_2797,type,
    iG1442: product_prod_int_int > product_prod_int_int ).

tff(func_def_2798,type,
    iG1443: ( int * int ) > int ).

tff(func_def_2799,type,
    iG1444: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2800,type,
    iG1445: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2801,type,
    iG1446: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2802,type,
    iG1447: ( nat * nat ) > nat ).

tff(func_def_2803,type,
    iG1448: ( nat * nat ) > nat ).

tff(func_def_2804,type,
    iG1449: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2805,type,
    iG1450: ( nat * nat ) > nat ).

tff(func_def_2806,type,
    iG1451: nat > num ).

tff(func_def_2807,type,
    iG1452: ( nat * nat ) > set_nat ).

tff(func_def_2808,type,
    iG1453: ( nat * nat * nat ) > set_nat ).

tff(func_def_2809,type,
    iG1454: real > set_real ).

tff(func_def_2810,type,
    iG1455: ( nat * real ) > real ).

tff(func_def_2811,type,
    bG1456: $o > $o ).

tff(func_def_2812,type,
    bG1457: $o > $o ).

tff(func_def_2813,type,
    bG1458: $o > $o ).

tff(func_def_2814,type,
    bG1459: $o > $o ).

tff(func_def_2815,type,
    bG1460: $o > $o ).

tff(func_def_2816,type,
    bG1461: $o > $o ).

tff(func_def_2817,type,
    bG1462: $o > $o ).

tff(func_def_2818,type,
    bG1463: $o > $o ).

tff(func_def_2819,type,
    bG1464: $o > $o ).

tff(func_def_2820,type,
    bG1465: $o > $o ).

tff(func_def_2821,type,
    bG1466: $o > $o ).

tff(func_def_2822,type,
    bG1467: $o > $o ).

tff(func_def_2823,type,
    bG1468: $o > $o ).

tff(func_def_2824,type,
    bG1469: $o > $o ).

tff(func_def_2825,type,
    bG1470: $o > $o ).

tff(func_def_2826,type,
    bG1471: $o > $o ).

tff(func_def_2827,type,
    bG1472: $o > $o ).

tff(func_def_2828,type,
    bG1473: $o > $o ).

tff(func_def_2829,type,
    bG1474: $o > $o ).

tff(func_def_2830,type,
    bG1475: $o > $o ).

tff(func_def_2831,type,
    bG1476: $o > $o ).

tff(func_def_2832,type,
    bG1477: $o > $o ).

tff(func_def_2833,type,
    bG1478: $o > $o ).

tff(func_def_2834,type,
    bG1479: $o > $o ).

tff(func_def_2835,type,
    bG1480: $o > $o ).

tff(func_def_2836,type,
    bG1481: $o > $o ).

tff(func_def_2837,type,
    bG1482: $o > $o ).

tff(func_def_2838,type,
    bG1483: $o > $o ).

tff(func_def_2839,type,
    bG1484: $o > $o ).

tff(func_def_2840,type,
    bG1485: $o > $o ).

tff(func_def_2841,type,
    bG1486: $o > $o ).

tff(func_def_2842,type,
    bG1487: $o > $o ).

tff(func_def_2843,type,
    iG1488: ( int * int * list_int ) > list_int ).

tff(func_def_2844,type,
    iG1489: ( int * int ) > list_int ).

tff(func_def_2845,type,
    iG1490: ( num * num ) > list_int ).

tff(func_def_2846,type,
    iG1491: ( num * num ) > list_int ).

tff(func_def_2847,type,
    iG1492: ( num * num ) > list_int ).

tff(func_def_2848,type,
    iG1493: ( num * num ) > list_int ).

tff(func_def_2849,type,
    iG1494: ( int * int ) > list_int ).

tff(func_def_2850,type,
    iG1495: ( int * int ) > list_int ).

tff(func_def_2851,type,
    iG1496: ( int * int ) > list_int ).

tff(func_def_2852,type,
    iG1498: ( num * nat ) > option_num ).

tff(func_def_2853,type,
    iG1499: set_nat > nat ).

tff(func_def_2854,type,
    iG1500: ( nat * nat ) > nat ).

tff(func_def_2855,type,
    lG1501: nat > nat ).

tff(func_def_2856,type,
    lG1502: nat > nat ).

tff(func_def_2857,type,
    bG1503: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2858,type,
    bG1504: $o > $o ).

tff(func_def_2859,type,
    bG1505: $o > $o ).

tff(func_def_2860,type,
    lG1506: nat > nat ).

tff(func_def_2861,type,
    lG1507: nat > nat ).

tff(func_def_2862,type,
    bG1508: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2863,type,
    bG1509: $o > $o ).

tff(func_def_2864,type,
    bG1510: $o > $o ).

tff(func_def_2865,type,
    lG1511: nat > nat ).

tff(func_def_2866,type,
    lG1512: nat > nat ).

tff(func_def_2867,type,
    bG1513: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2868,type,
    lG1514: nat > nat ).

tff(func_def_2869,type,
    lG1515: nat > nat ).

tff(func_def_2870,type,
    bG1516: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2871,type,
    bG1517: $o > $o ).

tff(func_def_2872,type,
    bG1518: $o > $o ).

tff(func_def_2873,type,
    lG1519: nat > nat ).

tff(func_def_2874,type,
    lG1520: nat > nat ).

tff(func_def_2875,type,
    bG1521: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2876,type,
    bG1522: $o > $o ).

tff(func_def_2877,type,
    bG1523: $o > $o ).

tff(func_def_2878,type,
    bG1524: $o > $o ).

tff(func_def_2879,type,
    bG1525: $o > $o ).

tff(func_def_2880,type,
    lG1526: nat > nat ).

tff(func_def_2881,type,
    lG1527: nat > nat ).

tff(func_def_2882,type,
    bG1528: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2883,type,
    bG1529: $o > $o ).

tff(func_def_2884,type,
    bG1530: $o > $o ).

tff(func_def_2885,type,
    bG1531: $o > $o ).

tff(func_def_2886,type,
    bG1532: $o > $o ).

tff(func_def_2887,type,
    lG1533: nat > nat ).

tff(func_def_2888,type,
    lG1534: nat > nat ).

tff(func_def_2889,type,
    bG1535: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2890,type,
    bG1536: $o > $o ).

tff(func_def_2891,type,
    bG1537: $o > $o ).

tff(func_def_2892,type,
    bG1538: $o > $o ).

tff(func_def_2893,type,
    bG1539: $o > $o ).

tff(func_def_2894,type,
    iG1540: ( nat * fun_nat_real ) > real ).

tff(func_def_2895,type,
    iG1541: ( int * int ) > product_prod_int_int ).

tff(func_def_2896,type,
    lG1542: code_integer > int ).

tff(func_def_2897,type,
    iG1543: ( code_integer * code_integer ) > int ).

tff(func_def_2898,type,
    lG1544: nat > complex ).

tff(func_def_2899,type,
    iG1545: ( nat * nat ) > complex ).

tff(func_def_2900,type,
    lG1546: nat > real ).

tff(func_def_2901,type,
    iG1547: ( nat * nat ) > real ).

tff(func_def_2902,type,
    lG1548: nat > rat ).

tff(func_def_2903,type,
    iG1549: ( nat * nat ) > rat ).

tff(func_def_2904,type,
    lG1550: nat > nat ).

tff(func_def_2905,type,
    iG1551: ( nat * nat ) > nat ).

tff(func_def_2906,type,
    lG1552: nat > int ).

tff(func_def_2907,type,
    iG1553: ( nat * nat ) > int ).

tff(func_def_2908,type,
    lG1554: code_integer > num ).

tff(func_def_2909,type,
    lG1555: code_integer > num ).

tff(func_def_2910,type,
    iG1556: ( code_integer * code_integer ) > num ).

tff(func_def_2911,type,
    lG1557: code_integer > nat ).

tff(func_def_2912,type,
    lG1558: code_integer > nat ).

tff(func_def_2913,type,
    iG1559: ( code_integer * code_integer ) > nat ).

tff(func_def_2914,type,
    bG1560: int > $o ).

tff(func_def_2915,type,
    iG1561: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2916,type,
    iG1562: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2917,type,
    iG1563: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2918,type,
    iG1564: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_2919,type,
    iG1565: ( int * num * int ) > product_prod_int_int ).

tff(func_def_2920,type,
    iG1566: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2921,type,
    iG1567: ( set_nat * nat * fun_nat_real ) > real ).

tff(func_def_2922,type,
    iG1568: ( set_nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2923,type,
    iG1569: ( set_nat * nat * fun_nat_int ) > int ).

tff(func_def_2924,type,
    iG1570: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_2925,type,
    iG1571: ( complex * complex * fun_complex_rat ) > rat ).

tff(func_def_2926,type,
    iG1572: ( real * real * fun_real_complex ) > complex ).

tff(func_def_2927,type,
    iG1573: ( real * real * fun_real_real ) > real ).

tff(func_def_2928,type,
    iG1574: ( real * real * fun_real_rat ) > rat ).

tff(func_def_2929,type,
    iG1575: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2930,type,
    iG1576: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2931,type,
    iG1577: ( int * int * fun_int_complex ) > complex ).

tff(func_def_2932,type,
    iG1578: ( int * int * fun_int_real ) > real ).

tff(func_def_2933,type,
    iG1579: ( int * int * fun_int_rat ) > rat ).

tff(func_def_2934,type,
    iG1580: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_2935,type,
    iG1581: ( complex * complex * fun_complex_rat ) > rat ).

tff(func_def_2936,type,
    iG1582: ( real * real * fun_real_complex ) > complex ).

tff(func_def_2937,type,
    iG1583: ( real * real * fun_real_real ) > real ).

tff(func_def_2938,type,
    iG1584: ( real * real * fun_real_rat ) > rat ).

tff(func_def_2939,type,
    iG1585: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2940,type,
    iG1586: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2941,type,
    iG1587: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2942,type,
    iG1588: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2943,type,
    iG1589: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2944,type,
    iG1590: ( int * int * fun_int_complex ) > complex ).

tff(func_def_2945,type,
    iG1591: ( int * int * fun_int_real ) > real ).

tff(func_def_2946,type,
    iG1592: ( int * int * fun_int_rat ) > rat ).

tff(func_def_2947,type,
    iG1593: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2948,type,
    iG1594: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2949,type,
    iG1595: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2950,type,
    iG1596: ( nat * fun_nat_o * fun_nat_complex ) > complex ).

tff(func_def_2951,type,
    iG1597: ( nat * fun_nat_o * fun_nat_real ) > real ).

tff(func_def_2952,type,
    iG1598: ( nat * fun_nat_o * fun_nat_nat ) > nat ).

tff(func_def_2953,type,
    iG1599: ( nat * fun_nat_o * fun_nat_int ) > int ).

tff(func_def_2954,type,
    iG1600: ( complex * fun_complex_o * fun_complex_real ) > real ).

tff(func_def_2955,type,
    iG1601: ( complex * fun_complex_o * fun_complex_rat ) > rat ).

tff(func_def_2956,type,
    iG1602: ( real * fun_real_o * fun_real_complex ) > complex ).

tff(func_def_2957,type,
    iG1603: ( real * fun_real_o * fun_real_real ) > real ).

tff(func_def_2958,type,
    iG1604: ( real * fun_real_o * fun_real_rat ) > rat ).

tff(func_def_2959,type,
    iG1605: ( nat * fun_nat_o * fun_nat_complex ) > complex ).

tff(func_def_2960,type,
    iG1606: ( nat * fun_nat_o * fun_nat_rat ) > rat ).

tff(func_def_2961,type,
    iG1607: ( int * fun_int_o * fun_int_complex ) > complex ).

tff(func_def_2962,type,
    iG1608: ( int * fun_int_o * fun_int_real ) > real ).

tff(func_def_2963,type,
    iG1609: ( int * fun_int_o * fun_int_rat ) > rat ).

tff(func_def_2964,type,
    iG1610: ( nat * nat ) > complex ).

tff(func_def_2965,type,
    iG1611: ( nat * nat ) > real ).

tff(func_def_2966,type,
    iG1612: ( nat * nat ) > int ).

tff(func_def_2967,type,
    iG1613: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2968,type,
    bG1614: code_integer > $o ).

tff(func_def_2969,type,
    iG1615: ( set_nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2970,type,
    sK1689: ( nat * fun_nat_o ) > nat ).

tff(func_def_2971,type,
    sK1690: ( nat * fun_nat_o ) > nat ).

tff(func_def_2972,type,
    sK1691: fun_nat_o > nat ).

tff(func_def_2973,type,
    sK1692: fun_nat_real > nat ).

tff(func_def_2974,type,
    sK1693: fun_nat_real > nat ).

tff(func_def_2975,type,
    sK1694: fun_nat_real > nat ).

tff(func_def_2976,type,
    sK1695: fun_nat_real > nat ).

tff(func_def_2977,type,
    sK1696: nat > nat ).

tff(func_def_2978,type,
    sK1697: fun_nat_o > nat ).

tff(func_def_2979,type,
    sK1698: fun_nat_o > nat ).

tff(func_def_2980,type,
    sK1699: ( fun_nat_o * nat ) > nat ).

tff(func_def_2981,type,
    sK1700: fun_nat_o > nat ).

tff(func_def_2982,type,
    sK1701: fun_nat_fun_nat_o > nat ).

tff(func_def_2983,type,
    sK1702: fun_nat_fun_nat_o > nat ).

tff(func_def_2984,type,
    sK1703: fun_nat_fun_nat_o > nat ).

tff(func_def_2985,type,
    sK1704: fun_nat_fun_nat_o > nat ).

tff(func_def_2986,type,
    sK1705: fun_nat_fun_nat_o > nat ).

tff(func_def_2987,type,
    sK1706: fun_nat_real > nat ).

tff(func_def_2988,type,
    sK1707: fun_nat_real > nat ).

tff(func_def_2989,type,
    sK1708: fun_nat_fun_nat_o > nat ).

tff(func_def_2990,type,
    sK1709: fun_nat_fun_nat_o > nat ).

tff(func_def_2991,type,
    sK1710: fun_nat_fun_nat_o > nat ).

tff(func_def_2992,type,
    sK1711: fun_nat_fun_nat_o > nat ).

tff(func_def_2993,type,
    sK1712: nat > nat ).

tff(func_def_2994,type,
    sK1713: nat > nat ).

tff(func_def_2995,type,
    sK1714: nat > nat ).

tff(func_def_2996,type,
    sK1715: nat > nat ).

tff(func_def_2997,type,
    sK1716: nat > nat ).

tff(func_def_2998,type,
    sK1717: nat > nat ).

tff(func_def_2999,type,
    sK1718: nat > nat ).

tff(func_def_3000,type,
    sK1719: nat > nat ).

tff(func_def_3001,type,
    sK1720: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3002,type,
    sK1721: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3003,type,
    sK1722: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3004,type,
    sK1723: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3005,type,
    sK1724: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3006,type,
    sK1725: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3007,type,
    sK1726: nat > nat ).

tff(func_def_3008,type,
    sK1727: nat > nat ).

tff(func_def_3009,type,
    sK1728: nat > nat ).

tff(func_def_3010,type,
    sK1729: nat > nat ).

tff(func_def_3011,type,
    sK1730: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3012,type,
    sK1731: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3013,type,
    sK1732: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3014,type,
    sK1733: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3015,type,
    sK1734: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3016,type,
    sK1735: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3017,type,
    sK1736: fun_nat_o > nat ).

tff(func_def_3018,type,
    sK1737: ( fun_nat_o * nat ) > nat ).

tff(func_def_3019,type,
    sK1738: ( fun_nat_o * nat ) > nat ).

tff(func_def_3020,type,
    sK1739: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_3021,type,
    sK1740: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_3022,type,
    sK1741: fun_nat_nat > nat ).

tff(func_def_3023,type,
    sK1742: fun_nat_nat > nat ).

tff(func_def_3024,type,
    sK1743: fun_nat_nat > nat ).

tff(func_def_3025,type,
    sK1744: fun_nat_real > nat ).

tff(func_def_3026,type,
    sK1745: fun_nat_nat > nat ).

tff(func_def_3027,type,
    sK1746: fun_nat_real > nat ).

tff(func_def_3028,type,
    sK1747: fun_nat_o > nat ).

tff(func_def_3029,type,
    sK1748: fun_nat_fun_nat_o > nat ).

tff(func_def_3030,type,
    sK1749: fun_nat_fun_nat_o > nat ).

tff(func_def_3031,type,
    sK1750: fun_nat_fun_nat_o > nat ).

tff(func_def_3032,type,
    sK1751: fun_nat_fun_nat_o > nat ).

tff(func_def_3033,type,
    sK1752: fun_nat_fun_nat_o > nat ).

tff(func_def_3034,type,
    sK1753: ( nat * fun_nat_o ) > nat ).

tff(func_def_3035,type,
    sK1754: fun_nat_o > nat ).

tff(func_def_3036,type,
    sK1755: nat > nat ).

tff(func_def_3037,type,
    sK1756: ( nat * nat ) > nat ).

tff(func_def_3038,type,
    sK1757: ( nat * nat ) > nat ).

tff(func_def_3039,type,
    sK1758: ( nat * fun_nat_o ) > nat ).

tff(func_def_3040,type,
    sK1759: ( nat * fun_nat_o ) > nat ).

tff(func_def_3041,type,
    sK1760: ( nat * fun_nat_o ) > nat ).

tff(func_def_3042,type,
    sK1761: ( nat * fun_nat_o ) > nat ).

tff(func_def_3043,type,
    sK1762: ( nat * nat ) > nat ).

tff(func_def_3044,type,
    sK1763: fun_nat_fun_nat_o > nat ).

tff(func_def_3045,type,
    sK1764: fun_nat_fun_nat_o > nat ).

tff(func_def_3046,type,
    sK1765: fun_nat_fun_nat_o > nat ).

tff(func_def_3047,type,
    sK1766: fun_nat_fun_nat_o > nat ).

tff(func_def_3048,type,
    sK1767: ( nat * fun_nat_o ) > nat ).

tff(func_def_3049,type,
    sK1768: ( nat * fun_nat_o ) > nat ).

tff(func_def_3050,type,
    sK1769: ( fun_nat_o * nat ) > nat ).

tff(func_def_3051,type,
    sK1770: ( nat * fun_nat_o ) > nat ).

tff(func_def_3052,type,
    sK1771: ( nat * fun_nat_o ) > nat ).

tff(func_def_3053,type,
    sK1772: nat > nat ).

tff(func_def_3054,type,
    sK1773: ( nat * fun_nat_o ) > nat ).

tff(func_def_3055,type,
    sK1774: ( nat * fun_nat_o ) > nat ).

tff(func_def_3056,type,
    sK1775: nat > nat ).

tff(func_def_3057,type,
    sK1776: ( nat * nat ) > nat ).

tff(func_def_3058,type,
    sK1777: fun_nat_o > nat ).

tff(func_def_3059,type,
    sK1778: fun_nat_fun_nat_o > nat ).

tff(func_def_3060,type,
    sK1779: fun_nat_fun_nat_o > nat ).

tff(func_def_3061,type,
    sK1780: fun_nat_fun_nat_o > nat ).

tff(func_def_3062,type,
    sK1781: fun_nat_fun_nat_o > nat ).

tff(func_def_3063,type,
    sK1782: fun_nat_o > nat ).

tff(func_def_3064,type,
    sK1783: fun_nat_nat > nat ).

tff(func_def_3065,type,
    sK1784: fun_nat_nat > nat ).

tff(func_def_3066,type,
    sK1785: fun_nat_o > nat ).

tff(func_def_3067,type,
    sK1786: ( fun_nat_o * nat ) > nat ).

tff(func_def_3068,type,
    sK1787: fun_nat_o > nat ).

tff(func_def_3069,type,
    sK1788: fun_nat_o > nat ).

tff(func_def_3070,type,
    sK1789: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3071,type,
    sK1790: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3072,type,
    sK1791: fun_nat_o > nat ).

tff(func_def_3073,type,
    sK1792: fun_nat_o > nat ).

tff(func_def_3074,type,
    sK1793: fun_nat_o > nat ).

tff(func_def_3075,type,
    sK1794: fun_nat_rat > nat ).

tff(func_def_3076,type,
    sK1795: fun_nat_rat > nat ).

tff(func_def_3077,type,
    sK1796: fun_nat_rat > nat ).

tff(func_def_3078,type,
    sK1797: fun_nat_rat > nat ).

tff(func_def_3079,type,
    sK1798: fun_nat_rat > nat ).

tff(func_def_3080,type,
    sK1799: fun_nat_rat > nat ).

tff(func_def_3081,type,
    sK1800: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3082,type,
    sK1801: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3083,type,
    sK1802: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3084,type,
    sK1803: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3085,type,
    sK1804: ( nat * nat ) > nat ).

tff(func_def_3086,type,
    sK1805: ( nat * nat ) > nat ).

tff(func_def_3087,type,
    sK1806: ( nat * nat ) > nat ).

tff(func_def_3088,type,
    sK1807: ( nat * nat ) > nat ).

tff(func_def_3089,type,
    sK1808: ( nat * nat ) > nat ).

tff(func_def_3090,type,
    sK1809: fun_nat_int > nat ).

tff(func_def_3091,type,
    sK1810: fun_nat_rat > nat ).

tff(func_def_3092,type,
    sK1811: fun_nat_int > nat ).

tff(func_def_3093,type,
    sK1812: fun_nat_rat > nat ).

tff(func_def_3094,type,
    sK1813: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3095,type,
    sK1814: ( nat * real ) > real ).

tff(func_def_3096,type,
    sK1815: ( nat * real ) > real ).

tff(func_def_3097,type,
    sK1816: fun_nat_o > nat ).

tff(func_def_3098,type,
    sK1817: fun_nat_nat > nat ).

tff(func_def_3099,type,
    sK1818: fun_nat_nat > nat ).

tff(func_def_3100,type,
    sK1819: ( nat * nat ) > nat ).

tff(func_def_3101,type,
    sK1820: ( nat * nat ) > nat ).

tff(func_def_3102,type,
    sK1821: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3103,type,
    sK1822: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3104,type,
    sK1823: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3105,type,
    sK1824: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3106,type,
    sK1825: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3107,type,
    sK1826: list_VEBT_VEBT > nat ).

tff(func_def_3108,type,
    sK1827: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3109,type,
    sK1828: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3110,type,
    sK1829: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3111,type,
    sK1830: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3112,type,
    sK1831: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3113,type,
    sK1832: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3114,type,
    sK1833: list_VEBT_VEBT > nat ).

tff(func_def_3115,type,
    sK1834: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3116,type,
    sK1835: nat > nat ).

tff(func_def_3117,type,
    sK1836: nat > nat ).

tff(func_def_3118,type,
    sK1837: nat > nat ).

tff(func_def_3119,type,
    sK1838: nat > nat ).

tff(func_def_3120,type,
    sK1839: nat > nat ).

tff(func_def_3121,type,
    sK1840: fun_nat_rat > nat ).

tff(func_def_3122,type,
    sK1841: fun_nat_rat > nat ).

tff(func_def_3123,type,
    sK1842: fun_nat_rat > nat ).

tff(func_def_3124,type,
    sK1843: fun_nat_rat > nat ).

tff(func_def_3125,type,
    sK1844: fun_nat_rat > nat ).

tff(func_def_3126,type,
    sK1845: fun_nat_rat > nat ).

tff(func_def_3127,type,
    sK1846: fun_nat_rat > nat ).

tff(func_def_3128,type,
    sK1847: fun_nat_rat > nat ).

tff(func_def_3129,type,
    sK1848: fun_nat_int > nat ).

tff(func_def_3130,type,
    sK1849: fun_nat_rat > nat ).

tff(func_def_3131,type,
    sK1850: fun_nat_int > nat ).

tff(func_def_3132,type,
    sK1851: fun_nat_rat > nat ).

tff(func_def_3133,type,
    sK1852: ( nat * nat ) > nat ).

tff(func_def_3134,type,
    sK1853: ( nat * nat ) > nat ).

tff(func_def_3135,type,
    sK1854: ( nat * nat ) > nat ).

tff(func_def_3136,type,
    sK1855: ( nat * nat ) > nat ).

tff(func_def_3137,type,
    sK1856: fun_nat_fun_nat_o > nat ).

tff(func_def_3138,type,
    sK1857: fun_nat_fun_nat_o > nat ).

tff(func_def_3139,type,
    sK1858: fun_nat_fun_nat_o > nat ).

tff(func_def_3140,type,
    sK1859: fun_nat_fun_nat_o > nat ).

tff(func_def_3141,type,
    sK1860: fun_nat_fun_nat_o > nat ).

tff(func_def_3142,type,
    sK1861: fun_nat_o > nat ).

tff(func_def_3143,type,
    sK1862: ( real * nat ) > real ).

tff(func_def_3144,type,
    sK1863: nat > nat ).

tff(func_def_3145,type,
    sK1864: nat > nat ).

tff(func_def_3146,type,
    sK1865: ( real * real ) > real ).

tff(func_def_3147,type,
    sK1866: ( real * real ) > real ).

tff(func_def_3148,type,
    sK1867: ( real * real * real ) > real ).

tff(func_def_3149,type,
    sK1868: ( real * real * real ) > real ).

tff(func_def_3150,type,
    sK1869: fun_real_real > real ).

tff(func_def_3151,type,
    sK1870: fun_real_real > real ).

tff(func_def_3152,type,
    sK1871: fun_real_real > real ).

tff(func_def_3153,type,
    sK1872: fun_real_real > real ).

tff(func_def_3154,type,
    sK1873: real > real ).

tff(func_def_3155,type,
    sK1874: real > real ).

tff(func_def_3156,type,
    sK1875: ( real * real ) > real ).

tff(func_def_3157,type,
    sK1876: fun_real_fun_real_o > real ).

tff(func_def_3158,type,
    sK1877: fun_real_fun_real_o > real ).

tff(func_def_3159,type,
    sK1878: fun_real_fun_real_o > real ).

tff(func_def_3160,type,
    sK1879: fun_real_fun_real_o > real ).

tff(func_def_3161,type,
    sK1880: fun_real_fun_real_o > real ).

tff(func_def_3162,type,
    sK1881: fun_real_real > real ).

tff(func_def_3163,type,
    sK1882: fun_real_real > real ).

tff(func_def_3164,type,
    sK1883: fun_real_real > real ).

tff(func_def_3165,type,
    sK1884: fun_real_real > real ).

tff(func_def_3166,type,
    sK1885: fun_real_real > real ).

tff(func_def_3167,type,
    sK1886: fun_real_real > real ).

tff(func_def_3168,type,
    sK1887: fun_real_real > real ).

tff(func_def_3169,type,
    sK1888: fun_real_real > real ).

tff(func_def_3170,type,
    sK1889: real > real ).

tff(func_def_3171,type,
    sK1890: real > real ).

tff(func_def_3172,type,
    sK1891: real > real ).

tff(func_def_3173,type,
    sK1892: real > real ).

tff(func_def_3174,type,
    sK1893: real > real ).

tff(func_def_3175,type,
    sK1894: real > real ).

tff(func_def_3176,type,
    sK1895: real > real ).

tff(func_def_3177,type,
    sK1896: real > real ).

tff(func_def_3178,type,
    sK1897: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3179,type,
    sK1898: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3180,type,
    sK1899: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3181,type,
    sK1900: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3182,type,
    sK1901: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3183,type,
    sK1902: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3184,type,
    sK1903: real > real ).

tff(func_def_3185,type,
    sK1904: real > real ).

tff(func_def_3186,type,
    sK1905: real > real ).

tff(func_def_3187,type,
    sK1906: real > real ).

tff(func_def_3188,type,
    sK1907: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3189,type,
    sK1908: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3190,type,
    sK1909: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3191,type,
    sK1910: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3192,type,
    sK1911: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3193,type,
    sK1912: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3194,type,
    sK1913: ( real * real ) > real ).

tff(func_def_3195,type,
    sK1914: ( real * real ) > real ).

tff(func_def_3196,type,
    sK1915: real > real ).

tff(func_def_3197,type,
    sK1916: real > real ).

tff(func_def_3198,type,
    sK1917: ( fun_real_fun_real_o * real * real ) > real ).

tff(func_def_3199,type,
    sK1918: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_3200,type,
    sK1919: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_3201,type,
    sK1920: fun_real_fun_real_o > real ).

tff(func_def_3202,type,
    sK1921: fun_real_fun_real_o > real ).

tff(func_def_3203,type,
    sK1922: fun_real_fun_real_o > real ).

tff(func_def_3204,type,
    sK1923: ( real * real ) > real ).

tff(func_def_3205,type,
    sK1924: ( real * real ) > nat ).

tff(func_def_3206,type,
    sK1925: ( real * real ) > nat ).

tff(func_def_3207,type,
    sK1926: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3208,type,
    sK1927: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3209,type,
    sK1928: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3210,type,
    sK1929: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3211,type,
    sK1930: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3212,type,
    sK1931: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3213,type,
    sK1932: nat > list_VEBT_VEBT ).

tff(func_def_3214,type,
    sK1933: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3215,type,
    sK1934: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3216,type,
    sK1935: list_VEBT_VEBT > nat ).

tff(func_def_3217,type,
    sK1936: vEBT_VEBT > nat ).

tff(func_def_3218,type,
    sK1937: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3219,type,
    sK1938: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3220,type,
    sK1939: list_VEBT_VEBT > nat ).

tff(func_def_3221,type,
    sK1940: vEBT_VEBT > nat ).

tff(func_def_3222,type,
    sK1941: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3223,type,
    sK1942: nat > nat ).

tff(func_def_3224,type,
    sK1943: ( nat * nat ) > nat ).

tff(func_def_3225,type,
    sK1944: ( nat * nat ) > nat ).

tff(func_def_3226,type,
    sK1945: ( nat * nat ) > nat ).

tff(func_def_3227,type,
    sK1946: ( fun_nat_o * nat ) > nat ).

tff(func_def_3228,type,
    sK1947: ( fun_nat_o * nat ) > nat ).

tff(func_def_3229,type,
    sK1948: ( nat * nat ) > nat ).

tff(func_def_3230,type,
    sK1949: ( nat * nat ) > nat ).

tff(func_def_3231,type,
    sK1950: ( nat * nat ) > nat ).

tff(func_def_3232,type,
    sK1951: ( nat * nat * nat ) > nat ).

tff(func_def_3233,type,
    sK1952: ( nat * nat * nat ) > nat ).

tff(func_def_3234,type,
    sK1953: ( nat * nat ) > nat ).

tff(func_def_3235,type,
    sK1954: ( nat * nat ) > nat ).

tff(func_def_3236,type,
    sK1955: ( nat * nat ) > nat ).

tff(func_def_3237,type,
    sK1956: ( nat * nat ) > nat ).

tff(func_def_3238,type,
    sK1957: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_3239,type,
    sK1958: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_3240,type,
    sK1959: ( nat * nat * nat ) > nat ).

tff(func_def_3241,type,
    sK1960: ( nat * nat * nat ) > nat ).

tff(func_def_3242,type,
    sK1961: ( nat * nat * nat ) > nat ).

tff(func_def_3243,type,
    sK1962: ( nat * nat * nat ) > nat ).

tff(func_def_3244,type,
    sK1963: ( nat * nat * nat ) > nat ).

tff(func_def_3245,type,
    sK1964: nat > nat ).

tff(func_def_3246,type,
    sK1965: ( nat * nat ) > nat ).

tff(func_def_3247,type,
    sK1966: ( nat * nat ) > nat ).

tff(func_def_3248,type,
    sK1967: ( nat * nat ) > nat ).

tff(func_def_3249,type,
    sK1968: ( nat * nat ) > nat ).

tff(func_def_3250,type,
    sK1969: ( nat * nat ) > nat ).

tff(func_def_3251,type,
    sK1970: ( nat * nat * nat ) > nat ).

tff(func_def_3252,type,
    sK1971: ( nat * nat * nat ) > nat ).

tff(func_def_3253,type,
    sK1972: ( nat * nat * nat ) > nat ).

tff(func_def_3254,type,
    sK1973: ( nat * nat * nat ) > nat ).

tff(func_def_3255,type,
    sK1974: ( nat * nat ) > nat ).

tff(func_def_3256,type,
    sK1975: ( nat * nat ) > nat ).

tff(func_def_3257,type,
    sK1976: ( nat * nat ) > nat ).

tff(func_def_3258,type,
    sK1977: fun_real_fun_real_o > real ).

tff(func_def_3259,type,
    sK1978: ( real * fun_real_o ) > real ).

tff(func_def_3260,type,
    sK1979: ( real * fun_real_o ) > real ).

tff(func_def_3261,type,
    sK1980: ( fun_real_o * real ) > real ).

tff(func_def_3262,type,
    sK1981: ( fun_real_o * real ) > real ).

tff(func_def_3263,type,
    sK1982: ( real * fun_real_o ) > real ).

tff(func_def_3264,type,
    sK1983: ( real * fun_real_o ) > real ).

tff(func_def_3265,type,
    sK1984: ( fun_real_o * real ) > real ).

tff(func_def_3266,type,
    sK1985: ( fun_real_o * real ) > real ).

tff(func_def_3267,type,
    sK1986: real > nat ).

tff(func_def_3268,type,
    sK1987: fun_num_real > num ).

tff(func_def_3269,type,
    sK1988: fun_num_real > num ).

tff(func_def_3270,type,
    sK1989: fun_num_real > num ).

tff(func_def_3271,type,
    sK1990: fun_num_real > num ).

tff(func_def_3272,type,
    sK1991: ( rat * rat ) > rat ).

tff(func_def_3273,type,
    sK1992: ( rat * rat ) > rat ).

tff(func_def_3274,type,
    sK1993: ( rat * rat * rat ) > rat ).

tff(func_def_3275,type,
    sK1994: ( rat * rat * rat ) > rat ).

tff(func_def_3276,type,
    sK1995: fun_rat_rat > rat ).

tff(func_def_3277,type,
    sK1996: fun_rat_rat > rat ).

tff(func_def_3278,type,
    sK1997: fun_rat_rat > rat ).

tff(func_def_3279,type,
    sK1998: fun_rat_rat > rat ).

tff(func_def_3280,type,
    sK1999: fun_rat_rat > rat ).

tff(func_def_3281,type,
    sK2000: fun_rat_rat > rat ).

tff(func_def_3282,type,
    sK2001: fun_rat_rat > rat ).

tff(func_def_3283,type,
    sK2002: fun_rat_rat > rat ).

tff(func_def_3284,type,
    sK2003: rat > rat ).

tff(func_def_3285,type,
    sK2004: rat > rat ).

tff(func_def_3286,type,
    sK2005: ( rat * rat ) > rat ).

tff(func_def_3287,type,
    sK2006: fun_rat_fun_rat_o > rat ).

tff(func_def_3288,type,
    sK2007: fun_rat_fun_rat_o > rat ).

tff(func_def_3289,type,
    sK2008: fun_rat_fun_rat_o > rat ).

tff(func_def_3290,type,
    sK2009: fun_rat_fun_rat_o > rat ).

tff(func_def_3291,type,
    sK2010: fun_rat_fun_rat_o > rat ).

tff(func_def_3292,type,
    sK2011: fun_rat_rat > rat ).

tff(func_def_3293,type,
    sK2012: fun_rat_rat > rat ).

tff(func_def_3294,type,
    sK2013: fun_rat_rat > rat ).

tff(func_def_3295,type,
    sK2014: fun_rat_rat > rat ).

tff(func_def_3296,type,
    sK2015: fun_rat_rat > rat ).

tff(func_def_3297,type,
    sK2016: fun_rat_rat > rat ).

tff(func_def_3298,type,
    sK2017: fun_rat_rat > rat ).

tff(func_def_3299,type,
    sK2018: fun_rat_rat > rat ).

tff(func_def_3300,type,
    sK2019: fun_rat_rat > rat ).

tff(func_def_3301,type,
    sK2020: fun_rat_rat > rat ).

tff(func_def_3302,type,
    sK2021: fun_rat_rat > rat ).

tff(func_def_3303,type,
    sK2022: fun_rat_rat > rat ).

tff(func_def_3304,type,
    sK2023: fun_rat_rat > rat ).

tff(func_def_3305,type,
    sK2024: fun_rat_rat > rat ).

tff(func_def_3306,type,
    sK2025: fun_rat_rat > rat ).

tff(func_def_3307,type,
    sK2026: fun_rat_rat > rat ).

tff(func_def_3308,type,
    sK2027: fun_rat_fun_rat_o > rat ).

tff(func_def_3309,type,
    sK2028: fun_rat_fun_rat_o > rat ).

tff(func_def_3310,type,
    sK2029: fun_rat_fun_rat_o > rat ).

tff(func_def_3311,type,
    sK2030: fun_rat_fun_rat_o > rat ).

tff(func_def_3312,type,
    sK2031: rat > rat ).

tff(func_def_3313,type,
    sK2032: rat > rat ).

tff(func_def_3314,type,
    sK2033: rat > rat ).

tff(func_def_3315,type,
    sK2034: rat > rat ).

tff(func_def_3316,type,
    sK2035: rat > rat ).

tff(func_def_3317,type,
    sK2036: rat > rat ).

tff(func_def_3318,type,
    sK2037: rat > rat ).

tff(func_def_3319,type,
    sK2038: rat > rat ).

tff(func_def_3320,type,
    sK2039: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3321,type,
    sK2040: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3322,type,
    sK2041: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3323,type,
    sK2042: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3324,type,
    sK2043: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3325,type,
    sK2044: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3326,type,
    sK2045: rat > rat ).

tff(func_def_3327,type,
    sK2046: rat > rat ).

tff(func_def_3328,type,
    sK2047: rat > rat ).

tff(func_def_3329,type,
    sK2048: rat > rat ).

tff(func_def_3330,type,
    sK2049: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3331,type,
    sK2050: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3332,type,
    sK2051: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3333,type,
    sK2052: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3334,type,
    sK2053: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3335,type,
    sK2054: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3336,type,
    sK2055: ( rat * rat ) > rat ).

tff(func_def_3337,type,
    sK2056: rat > rat ).

tff(func_def_3338,type,
    sK2057: rat > rat ).

tff(func_def_3339,type,
    sK2058: rat > rat ).

tff(func_def_3340,type,
    sK2059: rat > rat ).

tff(func_def_3341,type,
    sK2060: ( rat * rat ) > rat ).

tff(func_def_3342,type,
    sK2061: ( rat * rat ) > rat ).

tff(func_def_3343,type,
    sK2062: ( nat * fun_nat_real * real ) > nat ).

tff(func_def_3344,type,
    sK2063: int > int ).

tff(func_def_3345,type,
    sK2064: int > int ).

tff(func_def_3346,type,
    sK2065: fun_int_fun_int_o > int ).

tff(func_def_3347,type,
    sK2066: fun_int_fun_int_o > int ).

tff(func_def_3348,type,
    sK2067: fun_int_fun_int_o > int ).

tff(func_def_3349,type,
    sK2068: fun_int_fun_int_o > int ).

tff(func_def_3350,type,
    sK2069: fun_int_fun_int_o > int ).

tff(func_def_3351,type,
    sK2070: fun_int_fun_int_o > int ).

tff(func_def_3352,type,
    sK2071: fun_int_fun_int_o > int ).

tff(func_def_3353,type,
    sK2072: fun_int_fun_int_o > int ).

tff(func_def_3354,type,
    sK2073: fun_int_fun_int_o > int ).

tff(func_def_3355,type,
    sK2074: ( int * fun_int_o ) > int ).

tff(func_def_3356,type,
    sK2075: ( int * fun_int_o ) > int ).

tff(func_def_3357,type,
    sK2076: ( int * fun_int_o ) > int ).

tff(func_def_3358,type,
    sK2077: int > int ).

tff(func_def_3359,type,
    sK2078: int > int ).

tff(func_def_3360,type,
    sK2079: int > int ).

tff(func_def_3361,type,
    sK2080: int > int ).

tff(func_def_3362,type,
    sK2081: int > int ).

tff(func_def_3363,type,
    sK2082: int > int ).

tff(func_def_3364,type,
    sK2083: int > int ).

tff(func_def_3365,type,
    sK2084: int > int ).

tff(func_def_3366,type,
    sK2085: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3367,type,
    sK2086: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3368,type,
    sK2087: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3369,type,
    sK2088: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3370,type,
    sK2089: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3371,type,
    sK2090: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3372,type,
    sK2091: int > int ).

tff(func_def_3373,type,
    sK2092: int > int ).

tff(func_def_3374,type,
    sK2093: int > int ).

tff(func_def_3375,type,
    sK2094: int > int ).

tff(func_def_3376,type,
    sK2095: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3377,type,
    sK2096: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3378,type,
    sK2097: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3379,type,
    sK2098: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3380,type,
    sK2099: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3381,type,
    sK2100: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3382,type,
    sK2101: ( int * int ) > int ).

tff(func_def_3383,type,
    sK2102: ( int * int ) > int ).

tff(func_def_3384,type,
    sK2103: ( int * int ) > int ).

tff(func_def_3385,type,
    sK2104: ( int * int ) > int ).

tff(func_def_3386,type,
    sK2105: fun_int_o > int ).

tff(func_def_3387,type,
    sK2106: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3388,type,
    sK2107: ( int * fun_int_o ) > int ).

tff(func_def_3389,type,
    sK2108: ( int * fun_int_o ) > int ).

tff(func_def_3390,type,
    sK2109: fun_int_o > int ).

tff(func_def_3391,type,
    sK2110: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3392,type,
    sK2111: ( int * fun_int_o ) > int ).

tff(func_def_3393,type,
    sK2112: ( int * fun_int_o ) > int ).

tff(func_def_3394,type,
    sK2113: ( int * fun_int_o ) > int ).

tff(func_def_3395,type,
    sK2114: ( int * fun_int_o ) > int ).

tff(func_def_3396,type,
    sK2115: ( fun_int_o * int * int ) > int ).

tff(func_def_3397,type,
    sK2116: ( fun_int_o * int * int ) > int ).

tff(func_def_3398,type,
    sK2117: ( fun_int_o * int * int ) > int ).

tff(func_def_3399,type,
    sK2118: ( fun_int_o * int * int ) > int ).

tff(func_def_3400,type,
    sK2119: ( fun_nat_o * int ) > nat ).

tff(func_def_3401,type,
    sK2120: int > nat ).

tff(func_def_3402,type,
    sK2121: int > nat ).

tff(func_def_3403,type,
    sK2122: int > nat ).

tff(func_def_3404,type,
    sK2123: int > nat ).

tff(func_def_3405,type,
    sK2124: int > nat ).

tff(func_def_3406,type,
    sK2125: int > nat ).

tff(func_def_3407,type,
    sK2126: int > nat ).

tff(func_def_3408,type,
    sK2127: ( int * int ) > nat ).

tff(func_def_3409,type,
    sK2128: int > nat ).

tff(func_def_3410,type,
    sK2129: int > nat ).

tff(func_def_3411,type,
    sK2130: ( int * int ) > nat ).

tff(func_def_3412,type,
    sK2131: int > nat ).

tff(func_def_3413,type,
    sK2132: int > nat ).

tff(func_def_3414,type,
    sK2133: fun_int_o > nat ).

tff(func_def_3415,type,
    sK2134: fun_int_o > nat ).

tff(func_def_3416,type,
    sK2135: int > nat ).

tff(func_def_3417,type,
    sK2136: int > nat ).

tff(func_def_3418,type,
    sK2137: int > nat ).

tff(func_def_3419,type,
    sK2138: int > nat ).

tff(func_def_3420,type,
    sK2139: fun_int_o > int ).

tff(func_def_3421,type,
    sK2140: fun_int_o > int ).

tff(func_def_3422,type,
    sK2141: int > int ).

tff(func_def_3423,type,
    sK2142: int > int ).

tff(func_def_3424,type,
    sK2143: ( fun_int_o * int ) > int ).

tff(func_def_3425,type,
    sK2144: ( fun_int_o * int ) > int ).

tff(func_def_3426,type,
    sK2145: ( int * fun_int_o ) > int ).

tff(func_def_3427,type,
    sK2146: fun_int_fun_int_o > int ).

tff(func_def_3428,type,
    sK2147: real > nat ).

tff(func_def_3429,type,
    sK2148: real > nat ).

tff(func_def_3430,type,
    sK2149: real > nat ).

tff(func_def_3431,type,
    sK2150: real > nat ).

tff(func_def_3432,type,
    sK2151: real > nat ).

tff(func_def_3433,type,
    sK2152: real > nat ).

tff(func_def_3434,type,
    sK2153: real > nat ).

tff(func_def_3435,type,
    sK2154: real > nat ).

tff(func_def_3436,type,
    sK2155: ( real * real ) > nat ).

tff(func_def_3437,type,
    sK2156: ( real * real ) > nat ).

tff(func_def_3438,type,
    sK2157: ( real * real ) > nat ).

tff(func_def_3439,type,
    sK2158: real > nat ).

tff(func_def_3440,type,
    sK2159: real > nat ).

tff(func_def_3441,type,
    sK2160: num > num ).

tff(func_def_3442,type,
    sK2161: num > num ).

tff(func_def_3443,type,
    sK2162: fun_nat_fun_nat_o > nat ).

tff(func_def_3444,type,
    sK2163: fun_nat_fun_nat_o > nat ).

tff(func_def_3445,type,
    sK2164: fun_nat_fun_nat_o > nat ).

tff(func_def_3446,type,
    sK2165: ( fun_nat_o * nat ) > nat ).

tff(func_def_3447,type,
    sK2166: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3448,type,
    sK2167: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3449,type,
    sK2168: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3450,type,
    sK2169: product_prod_nat_nat > nat ).

tff(func_def_3451,type,
    sK2170: product_prod_nat_nat > nat ).

tff(func_def_3452,type,
    sK2171: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3453,type,
    sK2172: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3454,type,
    sK2173: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3455,type,
    sK2174: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3456,type,
    sK2175: vEBT_VEBT > nat ).

tff(func_def_3457,type,
    sK2176: vEBT_VEBT > nat ).

tff(func_def_3458,type,
    sK2177: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3459,type,
    sK2178: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3460,type,
    sK2179: ( int * int ) > int ).

tff(func_def_3461,type,
    sK2180: ( int * int ) > int ).

tff(func_def_3462,type,
    sK2181: ( fun_int_o * int ) > int ).

tff(func_def_3463,type,
    sK2182: ( fun_int_o * int ) > int ).

tff(func_def_3464,type,
    sK2183: ( int * int * int ) > int ).

tff(func_def_3465,type,
    sK2184: ( int * int * int ) > int ).

tff(func_def_3466,type,
    sK2185: ( int * int * int ) > int ).

tff(func_def_3467,type,
    sK2186: ( int * int * int ) > int ).

tff(func_def_3468,type,
    sK2187: ( int * int ) > int ).

tff(func_def_3469,type,
    sK2188: ( int * int ) > int ).

tff(func_def_3470,type,
    sK2189: ( int * fun_int_o ) > int ).

tff(func_def_3471,type,
    sK2190: ( int * fun_int_o ) > int ).

tff(func_def_3472,type,
    sK2191: ( fun_int_o * int ) > int ).

tff(func_def_3473,type,
    sK2192: ( fun_int_o * int ) > int ).

tff(func_def_3474,type,
    sK2193: ( int * fun_int_o ) > int ).

tff(func_def_3475,type,
    sK2194: ( int * fun_int_o ) > int ).

tff(func_def_3476,type,
    sK2195: ( fun_int_o * int ) > int ).

tff(func_def_3477,type,
    sK2196: ( fun_int_o * int ) > int ).

tff(func_def_3478,type,
    sK2197: ( fun_int_o * int * int ) > int ).

tff(func_def_3479,type,
    sK2198: ( fun_int_o * int * int ) > int ).

tff(func_def_3480,type,
    sK2199: ( fun_int_o * int * int ) > int ).

tff(func_def_3481,type,
    sK2200: ( fun_int_o * int * int ) > int ).

tff(func_def_3482,type,
    sK2201: ( int * int ) > int ).

tff(func_def_3483,type,
    sK2202: ( int * int ) > int ).

tff(func_def_3484,type,
    sK2203: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3485,type,
    sK2204: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3486,type,
    sK2205: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3487,type,
    sK2206: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3488,type,
    sK2207: ( int * int * int ) > int ).

tff(func_def_3489,type,
    sK2208: ( real * real * real ) > real ).

tff(func_def_3490,type,
    sK2209: ( real * real * real ) > real ).

tff(func_def_3491,type,
    sK2210: fun_rat_fun_rat_o > rat ).

tff(func_def_3492,type,
    sK2211: ( rat * fun_rat_o ) > rat ).

tff(func_def_3493,type,
    sK2212: ( rat * fun_rat_o ) > rat ).

tff(func_def_3494,type,
    sK2213: ( fun_rat_o * rat ) > rat ).

tff(func_def_3495,type,
    sK2214: ( fun_rat_o * rat ) > rat ).

tff(func_def_3496,type,
    sK2215: ( rat * fun_rat_o ) > rat ).

tff(func_def_3497,type,
    sK2216: ( rat * fun_rat_o ) > rat ).

tff(func_def_3498,type,
    sK2217: ( fun_rat_o * rat ) > rat ).

tff(func_def_3499,type,
    sK2218: ( fun_rat_o * rat ) > rat ).

tff(func_def_3500,type,
    sK2219: real > int ).

tff(func_def_3501,type,
    sK2220: real > int ).

tff(func_def_3502,type,
    sK2221: real > real ).

tff(func_def_3503,type,
    sK2222: real > int ).

tff(func_def_3504,type,
    sK2223: ( real * real ) > real ).

tff(func_def_3505,type,
    sK2224: ( real * real ) > real ).

tff(func_def_3506,type,
    sK2225: ( real * real ) > real ).

tff(func_def_3507,type,
    sK2226: real > real ).

tff(func_def_3508,type,
    sK2227: ( real * real ) > real ).

tff(func_def_3509,type,
    sK2228: real > int ).

tff(func_def_3510,type,
    sK2229: real > real ).

tff(func_def_3511,type,
    sK2230: ( fun_real_real * real * real ) > real ).

tff(func_def_3512,type,
    sK2231: ( fun_real_real * real * real ) > real ).

tff(func_def_3513,type,
    sK2232: ( fun_real_real * real * real ) > real ).

tff(func_def_3514,type,
    sK2233: real > real ).

tff(func_def_3515,type,
    sK2234: fun_num_rat > num ).

tff(func_def_3516,type,
    sK2235: fun_num_rat > num ).

tff(func_def_3517,type,
    sK2236: fun_num_real > num ).

tff(func_def_3518,type,
    sK2237: fun_num_real > num ).

tff(func_def_3519,type,
    sK2238: fun_num_int > num ).

tff(func_def_3520,type,
    sK2239: fun_num_int > num ).

tff(func_def_3521,type,
    sK2240: fun_num_nat > num ).

tff(func_def_3522,type,
    sK2241: fun_num_nat > num ).

tff(func_def_3523,type,
    sK2242: fun_num_num > num ).

tff(func_def_3524,type,
    sK2243: fun_num_num > num ).

tff(func_def_3525,type,
    sK2244: fun_num_rat > num ).

tff(func_def_3526,type,
    sK2245: fun_num_rat > num ).

tff(func_def_3527,type,
    sK2246: fun_num_int > num ).

tff(func_def_3528,type,
    sK2247: fun_num_int > num ).

tff(func_def_3529,type,
    sK2248: fun_num_nat > num ).

tff(func_def_3530,type,
    sK2249: fun_num_nat > num ).

tff(func_def_3531,type,
    sK2250: fun_num_num > num ).

tff(func_def_3532,type,
    sK2251: fun_num_num > num ).

tff(func_def_3533,type,
    sK2252: fun_num_rat > num ).

tff(func_def_3534,type,
    sK2253: fun_num_rat > num ).

tff(func_def_3535,type,
    sK2254: fun_num_rat > num ).

tff(func_def_3536,type,
    sK2255: fun_num_rat > num ).

tff(func_def_3537,type,
    sK2256: fun_num_real > num ).

tff(func_def_3538,type,
    sK2257: fun_num_real > num ).

tff(func_def_3539,type,
    sK2258: fun_num_fun_num_o > num ).

tff(func_def_3540,type,
    sK2259: fun_num_fun_num_o > num ).

tff(func_def_3541,type,
    sK2260: fun_num_fun_num_o > num ).

tff(func_def_3542,type,
    sK2261: fun_num_fun_num_o > num ).

tff(func_def_3543,type,
    sK2262: fun_num_fun_num_o > num ).

tff(func_def_3544,type,
    sK2263: fun_num_rat > num ).

tff(func_def_3545,type,
    sK2264: fun_num_rat > num ).

tff(func_def_3546,type,
    sK2265: fun_num_real > num ).

tff(func_def_3547,type,
    sK2266: fun_num_real > num ).

tff(func_def_3548,type,
    sK2267: fun_num_int > num ).

tff(func_def_3549,type,
    sK2268: fun_num_int > num ).

tff(func_def_3550,type,
    sK2269: fun_num_nat > num ).

tff(func_def_3551,type,
    sK2270: fun_num_nat > num ).

tff(func_def_3552,type,
    sK2271: fun_num_num > num ).

tff(func_def_3553,type,
    sK2272: fun_num_num > num ).

tff(func_def_3554,type,
    sK2273: fun_num_rat > num ).

tff(func_def_3555,type,
    sK2274: fun_num_rat > num ).

tff(func_def_3556,type,
    sK2275: fun_num_int > num ).

tff(func_def_3557,type,
    sK2276: fun_num_int > num ).

tff(func_def_3558,type,
    sK2277: fun_num_nat > num ).

tff(func_def_3559,type,
    sK2278: fun_num_nat > num ).

tff(func_def_3560,type,
    sK2279: fun_num_num > num ).

tff(func_def_3561,type,
    sK2280: fun_num_num > num ).

tff(func_def_3562,type,
    sK2281: fun_num_rat > num ).

tff(func_def_3563,type,
    sK2282: fun_num_rat > num ).

tff(func_def_3564,type,
    sK2283: fun_num_int > num ).

tff(func_def_3565,type,
    sK2284: fun_num_int > num ).

tff(func_def_3566,type,
    sK2285: fun_num_nat > num ).

tff(func_def_3567,type,
    sK2286: fun_num_nat > num ).

tff(func_def_3568,type,
    sK2287: fun_num_num > num ).

tff(func_def_3569,type,
    sK2288: fun_num_num > num ).

tff(func_def_3570,type,
    sK2289: fun_num_rat > num ).

tff(func_def_3571,type,
    sK2290: fun_num_rat > num ).

tff(func_def_3572,type,
    sK2291: fun_num_nat > num ).

tff(func_def_3573,type,
    sK2292: fun_num_nat > num ).

tff(func_def_3574,type,
    sK2293: fun_num_num > num ).

tff(func_def_3575,type,
    sK2294: fun_num_num > num ).

tff(func_def_3576,type,
    sK2295: fun_num_rat > num ).

tff(func_def_3577,type,
    sK2296: fun_num_rat > num ).

tff(func_def_3578,type,
    sK2297: fun_num_fun_num_o > num ).

tff(func_def_3579,type,
    sK2298: fun_num_fun_num_o > num ).

tff(func_def_3580,type,
    sK2299: fun_num_fun_num_o > num ).

tff(func_def_3581,type,
    sK2300: fun_num_fun_num_o > num ).

tff(func_def_3582,type,
    sK2301: num > num ).

tff(func_def_3583,type,
    sK2302: num > num ).

tff(func_def_3584,type,
    sK2303: num > num ).

tff(func_def_3585,type,
    sK2304: num > num ).

tff(func_def_3586,type,
    sK2305: num > num ).

tff(func_def_3587,type,
    sK2306: num > num ).

tff(func_def_3588,type,
    sK2307: num > num ).

tff(func_def_3589,type,
    sK2308: num > num ).

tff(func_def_3590,type,
    sK2309: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3591,type,
    sK2310: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3592,type,
    sK2311: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3593,type,
    sK2312: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3594,type,
    sK2313: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3595,type,
    sK2314: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3596,type,
    sK2315: num > num ).

tff(func_def_3597,type,
    sK2316: num > num ).

tff(func_def_3598,type,
    sK2317: num > num ).

tff(func_def_3599,type,
    sK2318: num > num ).

tff(func_def_3600,type,
    sK2319: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3601,type,
    sK2320: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3602,type,
    sK2321: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3603,type,
    sK2322: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3604,type,
    sK2323: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3605,type,
    sK2324: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3606,type,
    sK2325: rat > nat ).

tff(func_def_3607,type,
    sK2326: ( fun_nat_real * nat ) > nat ).

tff(func_def_3608,type,
    sK2327: ( fun_nat_real * nat ) > nat ).

tff(func_def_3609,type,
    sK2328: ( fun_nat_real * real ) > nat ).

tff(func_def_3610,type,
    sK2329: ( fun_nat_real * nat ) > nat ).

tff(func_def_3611,type,
    sK2330: ( fun_nat_real * real ) > nat ).

tff(func_def_3612,type,
    sK2331: fun_nat_real > nat ).

tff(func_def_3613,type,
    sK2332: ( fun_nat_real * real ) > nat ).

tff(func_def_3614,type,
    sK2333: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3615,type,
    sK2334: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3616,type,
    sK2335: ( set_nat * fun_nat_complex * fun_nat_real ) > nat ).

tff(func_def_3617,type,
    sK2336: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3618,type,
    sK2337: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3619,type,
    sK2338: ( nat * fun_nat_nat * nat ) > nat ).

tff(func_def_3620,type,
    sK2339: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3621,type,
    sK2340: ( nat * fun_nat_rat * rat ) > nat ).

tff(func_def_3622,type,
    sK2341: ( nat * fun_nat_o ) > nat ).

tff(func_def_3623,type,
    sK2342: ( nat * fun_nat_o ) > nat ).

tff(func_def_3624,type,
    sK2343: ( nat * fun_nat_o ) > nat ).

tff(func_def_3625,type,
    sK2344: ( nat * fun_nat_o ) > nat ).

tff(func_def_3626,type,
    sK2345: fun_nat_set_nat > nat ).

tff(func_def_3627,type,
    sK2346: fun_nat_set_nat > nat ).

tff(func_def_3628,type,
    sK2347: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3629,type,
    sK2348: ( nat * fun_nat_int ) > nat ).

tff(func_def_3630,type,
    sK2349: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3631,type,
    sK2350: ( nat * fun_nat_int ) > nat ).

tff(func_def_3632,type,
    sK2351: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_3633,type,
    sK2352: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_3634,type,
    sK2353: fun_nat_o > nat ).

tff(func_def_3635,type,
    sK2354: fun_nat_o > int ).

tff(func_def_3636,type,
    sK2355: fun_nat_o > int ).

tff(func_def_3637,type,
    sK2356: fun_nat_o > nat ).

tff(func_def_3638,type,
    sK2357: set_int > int ).

tff(func_def_3639,type,
    sK2358: ( set_int * int ) > int ).

tff(func_def_3640,type,
    sK2359: rat > int ).

tff(func_def_3641,type,
    sK2360: rat > int ).

tff(func_def_3642,type,
    sK2361: rat > int ).

tff(func_def_3643,type,
    sK2362: rat > int ).

tff(func_def_3644,type,
    sK2363: rat > int ).

tff(func_def_3645,type,
    sK2364: ( rat * rat ) > nat ).

tff(func_def_3646,type,
    sK2365: rat > nat ).

tff(func_def_3647,type,
    sK2366: rat > nat ).

tff(func_def_3648,type,
    sK2367: fun_int_rat > int ).

tff(func_def_3649,type,
    sK2368: fun_int_rat > int ).

tff(func_def_3650,type,
    sK2369: fun_int_rat > int ).

tff(func_def_3651,type,
    sK2370: fun_int_rat > int ).

tff(func_def_3652,type,
    sK2371: fun_int_rat > int ).

tff(func_def_3653,type,
    sK2372: fun_int_rat > int ).

tff(func_def_3654,type,
    sK2373: fun_int_rat > int ).

tff(func_def_3655,type,
    sK2374: fun_int_rat > int ).

tff(func_def_3656,type,
    sK2375: real > int ).

tff(func_def_3657,type,
    sK2376: real > int ).

tff(func_def_3658,type,
    sK2377: real > int ).

tff(func_def_3659,type,
    sK2378: real > int ).

tff(func_def_3660,type,
    sK2379: real > int ).

tff(func_def_3661,type,
    sK2380: fun_int_real > int ).

tff(func_def_3662,type,
    sK2381: fun_int_real > int ).

tff(func_def_3663,type,
    sK2382: fun_int_real > int ).

tff(func_def_3664,type,
    sK2383: fun_int_real > int ).

tff(func_def_3665,type,
    sK2384: fun_int_real > int ).

tff(func_def_3666,type,
    sK2385: fun_int_real > int ).

tff(func_def_3667,type,
    sK2386: real ).

tff(func_def_3668,type,
    sK2387: ( real * real ) > real ).

tff(func_def_3669,type,
    sK2388: ( real * real ) > real ).

tff(func_def_3670,type,
    sK2389: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_3671,type,
    sK2390: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3672,type,
    sK2391: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3673,type,
    sK2392: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_3674,type,
    sK2393: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_3675,type,
    sK2394: code_integer > code_integer ).

tff(func_def_3676,type,
    sK2395: code_integer > code_integer ).

tff(func_def_3677,type,
    sK2396: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_3678,type,
    sK2397: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3679,type,
    sK2398: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3680,type,
    sK2399: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3681,type,
    sK2400: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3682,type,
    sK2401: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3683,type,
    sK2402: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3684,type,
    sK2403: option_nat > nat ).

tff(func_def_3685,type,
    sK2404: option_nat > nat ).

tff(func_def_3686,type,
    sK2405: option_nat > nat ).

tff(func_def_3687,type,
    sK2406: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3688,type,
    sK2407: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3689,type,
    sK2408: set_nat > nat ).

tff(func_def_3690,type,
    sK2409: set_nat > nat ).

tff(func_def_3691,type,
    sK2410: set_nat > nat ).

tff(func_def_3692,type,
    sK2411: set_nat > nat ).

tff(func_def_3693,type,
    sK2412: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3694,type,
    sK2413: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3695,type,
    sK2414: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3696,type,
    sK2415: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3697,type,
    sK2416: ( fun_nat_o * fun_nat_o ) > nat ).

tff(pred_def_1,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_2,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_3,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_4,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_5,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_6,type,
    eventu1038000079068216329at_nat: ( fun_Pr4796943543331071514_nat_o * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_7,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_8,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_9,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_10,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_11,type,
    finite_finite_o: set_o > $o ).

tff(pred_def_12,type,
    finite_finite_list_o: set_list_o > $o ).

tff(pred_def_13,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_14,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_15,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_16,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_17,type,
    finite_finite_num: set_num > $o ).

tff(pred_def_18,type,
    finite_finite_rat: set_rat > $o ).

tff(pred_def_19,type,
    finite_finite_real: set_real > $o ).

tff(pred_def_20,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_21,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_22,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_23,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_24,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_25,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_26,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_27,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_28,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_29,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_30,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_31,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_32,type,
    ord_le4409593196786536943plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_33,type,
    ord_less_fun_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_34,type,
    ord_less_fun_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_35,type,
    ord_less_fun_real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_36,type,
    ord_le921202756137246487_nat_o: ( fun_set_nat_o * fun_set_nat_o ) > $o ).

tff(pred_def_37,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_38,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_39,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_40,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_41,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_42,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_43,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_44,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_45,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_46,type,
    ord_le7644322562001619171plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_47,type,
    ord_le5418975059635765733_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_48,type,
    ord_le7240017405068453697_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_49,type,
    ord_le3605727316730466277real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_50,type,
    ord_le6468474429079055883_nat_o: ( fun_set_nat_o * fun_set_nat_o ) > $o ).

tff(pred_def_51,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_52,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_53,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_54,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_55,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_56,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_57,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_58,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_59,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_60,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_61,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_62,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_63,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_64,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_65,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_66,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_67,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_68,type,
    topolo7278393974255667507et_nat: fun_nat_set_nat > $o ).

tff(pred_def_69,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_70,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_71,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_72,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_73,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_74,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_75,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_76,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_77,type,
    aa_list_complex_o: ( fun_list_complex_o * list_complex ) > $o ).

tff(pred_def_78,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_79,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_80,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_81,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_82,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_83,type,
    aa_option_nat_o: ( fun_option_nat_o * option_nat ) > $o ).

tff(pred_def_84,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_85,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_86,type,
    aa_Pro4926521453222654329eger_o: ( fun_Pr7211993375558241536eger_o * produc8923325533196201883nteger ) > $o ).

tff(pred_def_87,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_88,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_89,type,
    aa_Pro4652312591602923194eger_o: ( fun_Pr1347628893830317649eger_o * produc7509114972854644512nteger ) > $o ).

tff(pred_def_90,type,
    aa_Pro5451197003417746155_int_o: ( fun_Pr1196100989263358594_int_o * produc4788131091073775919nt_int ) > $o ).

tff(pred_def_91,type,
    aa_Pro4148064003102580676eger_o: ( fun_Pr7015759342434529115eger_o * produc2453742332425399446nteger ) > $o ).

tff(pred_def_92,type,
    aa_Pro2601676399929874711_int_o: ( fun_Pr3540825087398332590_int_o * produc3043004577601930755nt_int ) > $o ).

tff(pred_def_93,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_94,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_95,type,
    aa_set_complex_o: ( fun_set_complex_o * set_complex ) > $o ).

tff(pred_def_96,type,
    aa_set_int_o: ( fun_set_int_o * set_int ) > $o ).

tff(pred_def_97,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_98,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_99,type,
    aa_fun8408151826566693824at_o_o: ( fun_fu6891447142836604759at_o_o * fun_Pr4796943543331071514_nat_o ) > $o ).

tff(pred_def_100,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_101,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_102,type,
    member_list_o: ( list_o * set_list_o ) > $o ).

tff(pred_def_103,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_104,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_105,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_106,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_107,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_108,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_109,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_110,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_112,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_113,type,
    iG208: ( nat * nat * list_o * $o ) > $o ).

tff(pred_def_114,type,
    iG222: ( num * complex * complex ) > $o ).

tff(pred_def_115,type,
    iG223: ( num * real * real ) > $o ).

tff(pred_def_116,type,
    iG224: ( num * rat * rat ) > $o ).

tff(pred_def_117,type,
    iG225: ( num * complex * complex ) > $o ).

tff(pred_def_118,type,
    iG226: ( num * real * real ) > $o ).

tff(pred_def_119,type,
    iG227: ( num * rat * rat ) > $o ).

tff(pred_def_120,type,
    iG237: ( complex * complex * complex ) > $o ).

tff(pred_def_121,type,
    iG238: ( real * real * real ) > $o ).

tff(pred_def_122,type,
    iG239: ( rat * rat * rat ) > $o ).

tff(pred_def_123,type,
    iG240: ( complex * complex * complex ) > $o ).

tff(pred_def_124,type,
    iG241: ( real * real * real ) > $o ).

tff(pred_def_125,type,
    iG242: ( rat * rat * rat ) > $o ).

tff(pred_def_126,type,
    iG243: ( real * real * real ) > $o ).

tff(pred_def_127,type,
    iG244: ( real * real * real ) > $o ).

tff(pred_def_128,type,
    iG245: ( rat * rat * rat ) > $o ).

tff(pred_def_129,type,
    iG246: ( rat * rat * rat ) > $o ).

tff(pred_def_130,type,
    iG247: ( real * real * real ) > $o ).

tff(pred_def_131,type,
    iG248: ( real * real * real ) > $o ).

tff(pred_def_132,type,
    iG249: ( rat * rat * rat ) > $o ).

tff(pred_def_133,type,
    iG250: ( rat * rat * rat ) > $o ).

tff(pred_def_134,type,
    iG251: ( complex * num * complex ) > $o ).

tff(pred_def_135,type,
    iG252: ( real * num * real ) > $o ).

tff(pred_def_136,type,
    iG253: ( rat * num * rat ) > $o ).

tff(pred_def_137,type,
    iG254: ( complex * num * complex ) > $o ).

tff(pred_def_138,type,
    iG255: ( real * num * real ) > $o ).

tff(pred_def_139,type,
    iG256: ( rat * num * rat ) > $o ).

tff(pred_def_140,type,
    iG267: ( real * real * real ) > $o ).

tff(pred_def_141,type,
    iG268: ( real * real * real ) > $o ).

tff(pred_def_142,type,
    iG269: ( rat * rat * rat ) > $o ).

tff(pred_def_143,type,
    iG270: ( rat * rat * rat ) > $o ).

tff(pred_def_144,type,
    iG271: ( real * real * real ) > $o ).

tff(pred_def_145,type,
    iG272: ( real * real * real ) > $o ).

tff(pred_def_146,type,
    iG273: ( rat * rat * rat ) > $o ).

tff(pred_def_147,type,
    iG274: ( rat * rat * rat ) > $o ).

tff(pred_def_148,type,
    iG275: ( real * num * real ) > $o ).

tff(pred_def_149,type,
    iG276: ( real * num * real ) > $o ).

tff(pred_def_150,type,
    iG277: ( rat * num * rat ) > $o ).

tff(pred_def_151,type,
    iG278: ( rat * num * rat ) > $o ).

tff(pred_def_152,type,
    iG279: ( real * num * real ) > $o ).

tff(pred_def_153,type,
    iG280: ( real * num * real ) > $o ).

tff(pred_def_154,type,
    iG281: ( rat * num * rat ) > $o ).

tff(pred_def_155,type,
    iG282: ( rat * num * rat ) > $o ).

tff(pred_def_156,type,
    iG284: ( real * num * real ) > $o ).

tff(pred_def_157,type,
    iG285: ( real * num * real ) > $o ).

tff(pred_def_158,type,
    iG286: ( rat * num * rat ) > $o ).

tff(pred_def_159,type,
    iG287: ( rat * num * rat ) > $o ).

tff(pred_def_160,type,
    iG288: ( real * num * real ) > $o ).

tff(pred_def_161,type,
    iG289: ( real * num * real ) > $o ).

tff(pred_def_162,type,
    iG290: ( rat * num * rat ) > $o ).

tff(pred_def_163,type,
    iG291: ( rat * num * rat ) > $o ).

tff(pred_def_164,type,
    iG336: ( nat * $o ) > $o ).

tff(pred_def_165,type,
    iG337: ( nat * $o * $o ) > $o ).

tff(pred_def_166,type,
    iG528: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_167,type,
    iG529: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_168,type,
    iG530: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_169,type,
    iG531: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_170,type,
    iG532: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_171,type,
    iG534: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_172,type,
    iG535: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_173,type,
    iG536: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_174,type,
    iG537: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_175,type,
    iG538: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_176,type,
    iG539: ( nat * $o ) > $o ).

tff(pred_def_177,type,
    iG540: ( nat * $o * $o ) > $o ).

tff(pred_def_178,type,
    iG550: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_179,type,
    iG551: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_180,type,
    iG552: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_181,type,
    iG553: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_182,type,
    iG554: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_183,type,
    iG555: ( nat * $o ) > $o ).

tff(pred_def_184,type,
    iG556: ( nat * $o * $o ) > $o ).

tff(pred_def_185,type,
    iG560: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_186,type,
    iG561: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_187,type,
    iG562: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_188,type,
    iG563: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_189,type,
    iG564: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_190,type,
    iG565: ( nat * $o ) > $o ).

tff(pred_def_191,type,
    iG566: ( nat * $o * $o ) > $o ).

tff(pred_def_192,type,
    iG674: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_193,type,
    iG676: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_194,type,
    iG680: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_195,type,
    iG682: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_196,type,
    iG686: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_197,type,
    iG687: ( nat * $o ) > $o ).

tff(pred_def_198,type,
    iG688: ( nat * $o * $o ) > $o ).

tff(pred_def_199,type,
    iG692: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_200,type,
    iG693: ( nat * $o ) > $o ).

tff(pred_def_201,type,
    iG694: ( nat * $o * $o ) > $o ).

tff(pred_def_202,type,
    iG698: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_203,type,
    iG699: ( nat * $o ) > $o ).

tff(pred_def_204,type,
    iG700: ( nat * $o * $o ) > $o ).

tff(pred_def_205,type,
    iG704: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_206,type,
    iG706: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_207,type,
    iG709: ( nat * $o ) > $o ).

tff(pred_def_208,type,
    iG710: ( nat * $o * $o ) > $o ).

tff(pred_def_209,type,
    iG714: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_210,type,
    iG716: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_211,type,
    iG718: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_212,type,
    iG824: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_213,type,
    iG825: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_214,type,
    iG826: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_215,type,
    iG827: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_216,type,
    iG828: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_217,type,
    iG829: ( nat * $o ) > $o ).

tff(pred_def_218,type,
    iG830: ( nat * $o * $o ) > $o ).

tff(pred_def_219,type,
    iG847: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_220,type,
    iG848: ( nat * $o ) > $o ).

tff(pred_def_221,type,
    iG849: ( nat * $o * $o ) > $o ).

tff(pred_def_222,type,
    iG855: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_223,type,
    iG856: ( nat * $o ) > $o ).

tff(pred_def_224,type,
    iG857: ( nat * $o * $o ) > $o ).

tff(pred_def_225,type,
    iG863: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_226,type,
    iG864: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_227,type,
    iG865: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_228,type,
    iG866: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_229,type,
    iG867: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_230,type,
    iG868: ( nat * $o ) > $o ).

tff(pred_def_231,type,
    iG869: ( nat * $o * $o ) > $o ).

tff(pred_def_232,type,
    iG878: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_233,type,
    iG884: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_234,type,
    iG886: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_235,type,
    iG892: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_236,type,
    iG894: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_237,type,
    iG899: ( int * int * int ) > $o ).

tff(pred_def_238,type,
    iG900: ( int * int * int ) > $o ).

tff(pred_def_239,type,
    iG929: ( num * real * real ) > $o ).

tff(pred_def_240,type,
    iG930: ( num * complex * complex ) > $o ).

tff(pred_def_241,type,
    iG931: ( num * rat * rat ) > $o ).

tff(pred_def_242,type,
    iG932: ( num * real * real ) > $o ).

tff(pred_def_243,type,
    iG933: ( num * complex * complex ) > $o ).

tff(pred_def_244,type,
    iG934: ( num * rat * rat ) > $o ).

tff(pred_def_245,type,
    iG948: ( real * real * real ) > $o ).

tff(pred_def_246,type,
    iG949: ( complex * complex * complex ) > $o ).

tff(pred_def_247,type,
    iG950: ( rat * rat * rat ) > $o ).

tff(pred_def_248,type,
    iG951: ( real * real * real ) > $o ).

tff(pred_def_249,type,
    iG952: ( complex * complex * complex ) > $o ).

tff(pred_def_250,type,
    iG953: ( rat * rat * rat ) > $o ).

tff(pred_def_251,type,
    iG956: ( real * real * real ) > $o ).

tff(pred_def_252,type,
    iG957: ( real * real * real ) > $o ).

tff(pred_def_253,type,
    iG958: ( rat * rat * rat ) > $o ).

tff(pred_def_254,type,
    iG959: ( rat * rat * rat ) > $o ).

tff(pred_def_255,type,
    iG960: ( real * real * real ) > $o ).

tff(pred_def_256,type,
    iG961: ( real * real * real ) > $o ).

tff(pred_def_257,type,
    iG962: ( rat * rat * rat ) > $o ).

tff(pred_def_258,type,
    iG963: ( rat * rat * rat ) > $o ).

tff(pred_def_259,type,
    iG964: ( real * num * real ) > $o ).

tff(pred_def_260,type,
    iG965: ( complex * num * complex ) > $o ).

tff(pred_def_261,type,
    iG966: ( rat * num * rat ) > $o ).

tff(pred_def_262,type,
    iG967: ( real * num * real ) > $o ).

tff(pred_def_263,type,
    iG968: ( complex * num * complex ) > $o ).

tff(pred_def_264,type,
    iG969: ( rat * num * rat ) > $o ).

tff(pred_def_265,type,
    iG984: ( real * real * real ) > $o ).

tff(pred_def_266,type,
    iG985: ( real * real * real ) > $o ).

tff(pred_def_267,type,
    iG986: ( rat * rat * rat ) > $o ).

tff(pred_def_268,type,
    iG987: ( rat * rat * rat ) > $o ).

tff(pred_def_269,type,
    iG988: ( real * real * real ) > $o ).

tff(pred_def_270,type,
    iG989: ( real * real * real ) > $o ).

tff(pred_def_271,type,
    iG990: ( rat * rat * rat ) > $o ).

tff(pred_def_272,type,
    iG991: ( rat * rat * rat ) > $o ).

tff(pred_def_273,type,
    iG992: ( real * num * real ) > $o ).

tff(pred_def_274,type,
    iG993: ( real * num * real ) > $o ).

tff(pred_def_275,type,
    iG994: ( rat * num * rat ) > $o ).

tff(pred_def_276,type,
    iG995: ( rat * num * rat ) > $o ).

tff(pred_def_277,type,
    iG996: ( real * num * real ) > $o ).

tff(pred_def_278,type,
    iG997: ( real * num * real ) > $o ).

tff(pred_def_279,type,
    iG998: ( rat * num * rat ) > $o ).

tff(pred_def_280,type,
    iG999: ( rat * num * rat ) > $o ).

tff(pred_def_281,type,
    iG1009: ( real * num * real ) > $o ).

tff(pred_def_282,type,
    iG1010: ( real * num * real ) > $o ).

tff(pred_def_283,type,
    iG1011: ( rat * num * rat ) > $o ).

tff(pred_def_284,type,
    iG1012: ( rat * num * rat ) > $o ).

tff(pred_def_285,type,
    iG1013: ( real * num * real ) > $o ).

tff(pred_def_286,type,
    iG1014: ( real * num * real ) > $o ).

tff(pred_def_287,type,
    iG1015: ( rat * num * rat ) > $o ).

tff(pred_def_288,type,
    iG1016: ( rat * num * rat ) > $o ).

tff(pred_def_289,type,
    iG1323: ( int * nat ) > $o ).

tff(pred_def_290,type,
    iG1324: ( int * nat ) > $o ).

tff(pred_def_291,type,
    iG1329: ( int * nat ) > $o ).

tff(pred_def_292,type,
    iG1497: ( real * real * real ) > $o ).

tff(pred_def_293,type,
    iG1616: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_294,type,
    sP1617: ( nat * nat * nat ) > $o ).

tff(pred_def_295,type,
    sP1618: ( nat * nat * nat ) > $o ).

tff(pred_def_296,type,
    sP1619: ( nat * nat * nat ) > $o ).

tff(pred_def_297,type,
    sP1620: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_298,type,
    sP1621: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_299,type,
    sP1622: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_300,type,
    sP1623: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_301,type,
    sP1624: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_302,type,
    sP1625: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_303,type,
    sP1626: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_304,type,
    sP1627: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_305,type,
    sP1628: ( fun_nat_o * nat * nat ) > $o ).

tff(pred_def_306,type,
    sP1629: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_307,type,
    sP1630: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_308,type,
    sP1631: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_309,type,
    sP1632: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_310,type,
    sP1633: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_311,type,
    sP1634: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_312,type,
    sP1635: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_313,type,
    sP1636: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_314,type,
    sP1637: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_315,type,
    sP1638: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_316,type,
    sP1639: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_317,type,
    sP1640: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_318,type,
    sP1641: ( fun_real_fun_real_o * real * real ) > $o ).

tff(pred_def_319,type,
    sP1642: ( nat * fun_nat_o * nat ) > $o ).

tff(pred_def_320,type,
    sP1643: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_321,type,
    sP1644: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_322,type,
    sP1645: ( rat * rat * rat ) > $o ).

tff(pred_def_323,type,
    sP1646: ( rat * rat * rat ) > $o ).

tff(pred_def_324,type,
    sP1647: ( rat * rat * rat ) > $o ).

tff(pred_def_325,type,
    sP1648: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_326,type,
    sP1649: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_327,type,
    sP1650: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_328,type,
    sP1651: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_329,type,
    sP1652: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_330,type,
    sP1653: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_331,type,
    sP1654: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_332,type,
    sP1655: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_333,type,
    sP1656: ( int * int * int ) > $o ).

tff(pred_def_334,type,
    sP1657: ( int * int * int ) > $o ).

tff(pred_def_335,type,
    sP1658: ( int * int * int ) > $o ).

tff(pred_def_336,type,
    sP1659: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_337,type,
    sP1660: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_338,type,
    sP1661: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_339,type,
    sP1662: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_340,type,
    sP1663: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_341,type,
    sP1664: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_342,type,
    sP1665: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_343,type,
    sP1666: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_344,type,
    sP1667: ( fun_int_o * int * int ) > $o ).

tff(pred_def_345,type,
    sP1668: ( fun_int_o * int * int ) > $o ).

tff(pred_def_346,type,
    sP1669: fun_int_o > $o ).

tff(pred_def_347,type,
    sP1670: ( fun_int_o * int ) > $o ).

tff(pred_def_348,type,
    sP1671: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_349,type,
    sP1672: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_350,type,
    sP1673: ( fun_int_o * int * int ) > $o ).

tff(pred_def_351,type,
    sP1674: ( fun_int_o * int * int ) > $o ).

tff(pred_def_352,type,
    sP1675: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_353,type,
    sP1676: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_354,type,
    sP1677: ( num * num * num ) > $o ).

tff(pred_def_355,type,
    sP1678: ( num * num * num ) > $o ).

tff(pred_def_356,type,
    sP1679: ( num * num * num ) > $o ).

tff(pred_def_357,type,
    sP1680: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_358,type,
    sP1681: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_359,type,
    sP1682: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_360,type,
    sP1683: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_361,type,
    sP1684: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_362,type,
    sP1685: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_363,type,
    sP1686: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_364,type,
    sP1687: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_365,type,
    sP1688: ( fun_nat_int * nat * nat ) > $o ).

tff(f3,axiom,
    member_VEBT_VEBT(ta,set_VEBT_VEBT2(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062t_A_092_060in_062_Aset_A_ItreeList_A_091high_Ax_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_Ax_An_J_A_Ilow_Ax_An_J_093_J_092_060close_062) ).

tff(f8,axiom,
    size_s6755466524823107622T_VEBT(treeList) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__C2_C) ).

tff(f58,axiom,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: vEBT_VEBT] : ( size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(X0,X1,X2)) = size_s6755466524823107622T_VEBT(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_length__list__update) ).

tff(f121,axiom,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
    <=> ? [X2: nat] :
          ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))
          & ( nth_VEBT_VEBT(X1,X2) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_in__set__conv__nth) ).

tff(f693,axiom,
    ! [X0: nat] : ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_692_less__irrefl__nat) ).

tff(f701,axiom,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
     => ( aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X1),X0)
       => ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_700_le__antisym) ).

tff(f808,axiom,
    ! [X0: nat,X1: nat] : ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_807_not__add__less1) ).

tff(f1149,axiom,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
    <=> aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1148_verit__comp__simplify1_I3_J) ).

tff(f2213,axiom,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
     => ~ ! [X2: nat] :
            ( ( X1 = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X2) )
           => ( X2 = zero_zero_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2212_canonically__ordered__monoid__add__class_OlessE) ).

tff(f10730,axiom,
    ! [X0: nat] :
      ( ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m))
        & ( nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) = ta ) )
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10731,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f10732,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f10731]) ).

tff(f13267,plain,
    ~ thesis,
    inference(flattening,[],[f10732]) ).

tff(f13342,plain,
    ! [X0: nat] :
      ( thesis
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m))
      | ( ta != nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) ) ),
    inference(ennf_transformation,[],[f10730]) ).

tff(f13343,plain,
    ! [X0: nat] :
      ( thesis
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m))
      | ( ta != nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) ) ),
    inference(flattening,[],[f13342]) ).

tff(f13535,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X1),X0)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ),
    inference(ennf_transformation,[],[f701]) ).

tff(f13536,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X1),X0)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ),
    inference(flattening,[],[f13535]) ).

tff(f13669,plain,
    ! [X0: nat,X1: nat] :
      ( ? [X2: nat] :
          ( ( zero_zero_nat != X2 )
          & ( X1 = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X2) ) )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ),
    inference(ennf_transformation,[],[f2213]) ).

tff(f17315,plain,
    ! [X0: nat,X1: nat] :
      ( ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
        | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X0) )
      & ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X0)
        | aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ) ),
    inference(nnf_transformation,[],[f1149]) ).

tff(f17382,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( zero_zero_nat != sK1805(X0,X1) )
        & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),sK1805(X0,X1)) = X1 ) )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1805]),skolemize(X2,sK1805(X0,X1))],[f13669]) ).

tff(f17920,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
        | ! [X2: nat] :
            ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ? [X2: nat] :
            ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))
            & ( nth_VEBT_VEBT(X1,X2) = X0 ) )
        | ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1)) ) ),
    inference(nnf_transformation,[],[f121]) ).

tff(f17921,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
        | ! [X2: nat] :
            ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ? [X3: nat] :
            ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X3),size_s6755466524823107622T_VEBT(X1))
            & ( nth_VEBT_VEBT(X1,X3) = X0 ) )
        | ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1)) ) ),
    inference(rectify,[],[f17920]) ).

tff(f17922,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
        | ! [X2: nat] :
            ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,sK1928(X0,X1)),size_s6755466524823107622T_VEBT(X1))
          & ( nth_VEBT_VEBT(X1,sK1928(X0,X1)) = X0 ) )
        | ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1928]),skolemize(X3,sK1928(X0,X1))],[f17921]) ).

tff(f19985,plain,
    ! [X0: nat] :
      ( thesis
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m))
      | ( ta != nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) ) ),
    inference(cnf_transformation,[],[f13343]) ).

tff(f19986,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f13267]) ).

tff(f20370,plain,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X0)
      | aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ),
    inference(cnf_transformation,[],[f17315]) ).

tff(f20392,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X1),X0)
      | ( X0 = X1 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ),
    inference(cnf_transformation,[],[f13536]) ).

tff(f20402,plain,
    ! [X0: nat] : ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X0),
    inference(cnf_transformation,[],[f693]) ).

tff(f20415,plain,
    ! [X2: vEBT_VEBT,X0: list_VEBT_VEBT,X1: nat] : ( size_s6755466524823107622T_VEBT(X0) = size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f58]) ).

tff(f20625,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
      | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),sK1805(X0,X1)) = X1 ) ),
    inference(cnf_transformation,[],[f17382]) ).

tff(f20776,plain,
    ! [X0: nat,X1: nat] : ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)),X0),
    inference(cnf_transformation,[],[f808]) ).

tff(f21051,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(treeList),
    inference(cnf_transformation,[],[f8]) ).

tff(f21060,plain,
    member_VEBT_VEBT(ta,set_VEBT_VEBT2(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),
    inference(cnf_transformation,[],[f3]) ).

tff(f22245,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
      | ( nth_VEBT_VEBT(X1,sK1928(X0,X1)) = X0 ) ),
    inference(cnf_transformation,[],[f17922]) ).

tff(f22246,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,sK1928(X0,X1)),size_s6755466524823107622T_VEBT(X1))
      | ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1)) ),
    inference(cnf_transformation,[],[f17922]) ).

tff(f31283,plain,
    ! [X0: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m))
      | ( ta != nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) ) ),
    inference(forward_subsumption_resolution,[],[f19985,f19986]) ).

tff(f31675,plain,
    ! [X0: nat] :
      ( ( ta != nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),X0) )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),size_s6755466524823107622T_VEBT(treeList)) ),
    inference(forward_demodulation,[],[f31283,f21051]) ).

tff(f31936,plain,
    ta = nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),
    inference(resolution,[],[f22245,f21060]) ).

tff(f31938,plain,
    ( ( ta != ta )
    | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),size_s6755466524823107622T_VEBT(treeList)) ),
    inference(superposition,[],[f31675,f31936]) ).

tff(f31939,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),size_s6755466524823107622T_VEBT(treeList)),
    inference(trivial_inequality_removal,[],[f31938]) ).

tff(f32791,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,size_s6755466524823107622T_VEBT(treeList)),sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),
    inference(resolution,[],[f20370,f31939]) ).

tff(f35242,plain,
    ( ( size_s6755466524823107622T_VEBT(treeList) = sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))) )
    | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),size_s6755466524823107622T_VEBT(treeList)) ),
    inference(resolution,[],[f32791,f20392]) ).

tff(f35248,definition,
    ( spl2417_96
  <=> aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),size_s6755466524823107622T_VEBT(treeList)) ),
    introduced(definition,[new_symbols(definition,[spl2417_96])],[avatar_definition]) ).

tff(f35250,plain,
    ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),size_s6755466524823107622T_VEBT(treeList))
    | spl2417_96 ),
    inference(avatar_component_clause,[],[f35248]) ).

tff(f35252,definition,
    ( spl2417_97
  <=> ( size_s6755466524823107622T_VEBT(treeList) = sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))) ) ),
    introduced(definition,[new_symbols(definition,[spl2417_97])],[avatar_definition]) ).

tff(f35254,plain,
    ( ( size_s6755466524823107622T_VEBT(treeList) = sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))) )
    | ~ spl2417_97 ),
    inference(avatar_component_clause,[],[f35252]) ).

tff(f35255,plain,
    ( ~ spl2417_96
    | spl2417_97 ),
    inference(avatar_split_clause,[],[f35242,f35252,f35248]) ).

tff(f35256,plain,
    ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,size_s6755466524823107622T_VEBT(treeList)),sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))
    | spl2417_96 ),
    inference(resolution,[],[f35250,f20370]) ).

tff(f36348,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ~ member_VEBT_VEBT(X0,set_VEBT_VEBT2(X1))
      | ( size_s6755466524823107622T_VEBT(X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,sK1928(X0,X1)),sK1805(sK1928(X0,X1),size_s6755466524823107622T_VEBT(X1))) ) ),
    inference(resolution,[],[f20625,f22246]) ).

tff(f56568,plain,
    size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),sK1805(sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))),size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))),
    inference(resolution,[],[f36348,f21060]) ).

tff(f56574,plain,
    size_s6755466524823107622T_VEBT(treeList) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),sK1805(sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))),size_s6755466524823107622T_VEBT(treeList))),
    inference(forward_demodulation,[],[f56568,f20415]) ).

tff(f56575,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,size_s6755466524823107622T_VEBT(treeList)),sK1928(ta,list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))))),
    inference(superposition,[],[f20776,f56574]) ).

tff(f56610,plain,
    ( $false
    | spl2417_96 ),
    inference(forward_subsumption_resolution,[],[f56575,f35256]) ).

tff(f56611,plain,
    spl2417_96,
    inference(avatar_contradiction_clause,[],[f56610]) ).

tff(f56683,plain,
    ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,size_s6755466524823107622T_VEBT(treeList)),size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))
    | ~ member_VEBT_VEBT(ta,set_VEBT_VEBT2(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))
    | ~ spl2417_97 ),
    inference(superposition,[],[f22246,f35254]) ).

tff(f56684,plain,
    ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,size_s6755466524823107622T_VEBT(treeList)),size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))
    | ~ spl2417_97 ),
    inference(forward_subsumption_resolution,[],[f56683,f21060]) ).

tff(f56691,plain,
    ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,size_s6755466524823107622T_VEBT(treeList)),size_s6755466524823107622T_VEBT(treeList))
    | ~ spl2417_97 ),
    inference(forward_demodulation,[],[f56684,f20415]) ).

tff(f56695,plain,
    ( $false
    | ~ spl2417_97 ),
    inference(forward_subsumption_resolution,[],[f56691,f20402]) ).

tff(f56696,plain,
    ~ spl2417_97,
    inference(avatar_contradiction_clause,[],[f56695]) ).

cnf(s69,plain,
    ( ~ spl2417_96
    | spl2417_97 ),
    inference(sat_conversion,[],[f35255]) ).

cnf(s362,plain,
    spl2417_96,
    inference(sat_conversion,[],[f56611]) ).

cnf(s363,plain,
    ~ spl2417_97,
    inference(sat_conversion,[],[f56696]) ).

cnf(s380,plain,
    $false,
    inference(rat,[],[s69,s363,s362]) ).

tff(f56697,plain,
    $false,
    inference(avatar_sat_refutation,[],[s380]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP265_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n003.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 12:44:26 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
% 13.42/3.35  % (488049)Detected formulas, will run a generic FOF schedule.
% 13.42/3.35  % (488058)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1008184551:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.42/3.35  % (488055)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=2273934866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.42/3.35  % (488054)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=3071035136:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.42/3.35  % (488056)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=4185342687:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.42/3.35  % (488058)Instruction limit reached! 
% 13.42/3.35  % (488058)------------------------------
% 13.42/3.35  % (488058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/3.35  % (488058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/3.35  % (488058)CaDiCaL version: 2.1.3
% 13.42/3.35  % (488058)Termination reason: Instruction limit
% 13.42/3.35  % (488058)Termination phase: Property scanning
% 13.42/3.35  % (488058)Time elapsed: 0.039 s
% 13.42/3.35  % (488058)Peak memory usage: 99 MB
% 13.42/3.35  % (488058)Instructions burned: 121 (million)
% 13.42/3.35  % (488057)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1454852378:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.42/3.35  % (488060)dis-21_1_sil=8000:lcm=predicate:random_seed=1627499157:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.42/3.35  % (488059)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2071965929:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.42/3.35  % (488059)Instruction limit reached! 
% 13.42/3.35  % (488059)------------------------------
% 13.42/3.35  % (488059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/3.35  % (488059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/3.35  % (488059)CaDiCaL version: 2.1.3
% 13.42/3.35  % (488059)Termination reason: Instruction limit
% 13.42/3.35  % (488059)Termination phase: Property scanning
% 13.42/3.35  % (488059)Time elapsed: 0.055 s
% 13.42/3.35  % (488059)Peak memory usage: 94 MB
% 13.42/3.35  % (488059)Instructions burned: 139 (million)
% 13.42/3.35  % (488057)Instruction limit reached! 
% 13.42/3.35  % (488057)------------------------------
% 13.42/3.35  % (488057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/3.35  % (488057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/3.35  % (488057)CaDiCaL version: 2.1.3
% 13.42/3.35  % (488057)Termination reason: Instruction limit
% 13.42/3.35  % (488057)Termination phase: Property scanning
% 13.42/3.35  % (488057)Time elapsed: 0.063 s
% 13.42/3.35  % (488057)Peak memory usage: 98 MB
% 13.42/3.35  % (488057)Instructions burned: 112 (million)
% 13.42/3.35  % (488060)Instruction limit reached! 
% 13.42/3.35  % (488060)------------------------------
% 13.42/3.35  % (488060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/3.35  % (488060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/3.35  % (488060)CaDiCaL version: 2.1.3
% 13.42/3.35  % (488060)Termination reason: Instruction limit
% 13.42/3.35  % (488060)Termination phase: Property scanning
% 13.42/3.35  % (488060)Time elapsed: 0.069 s
% 13.42/3.35  % (488060)Peak memory usage: 98 MB
% 13.42/3.35  % (488060)Instructions burned: 129 (million)
% 13.42/3.35  % (488065)lrs+10_1_sil=8000:sp=occurrence:random_seed=2405563670:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 13.42/3.35  % (488065)Instruction limit reached! 
% 13.42/3.35  % (488065)------------------------------
% 13.42/3.35  % (488065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/3.35  % (488065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/3.35  % (488065)CaDiCaL version: 2.1.3
% 13.42/3.35  % (488065)Termination reason: Instruction limit
% 13.42/3.35  % (488065)Termination phase: Property scanning
% 13.42/3.35  % (488065)Time elapsed: 0.071 s
% 13.42/3.35  % (488065)Peak memory usage: 99 MB
% 13.42/3.35  % (488065)Instructions burned: 287 (million)
% 13.42/3.35  % (488069)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4214933190:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 19.76/4.26  % (488071)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=553572375:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 19.76/4.26  % (488070)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2287444143:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 19.76/4.26  % (488069)Instruction limit reached! 
% 19.76/4.26  % (488069)------------------------------
% 19.76/4.26  % (488069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/4.26  % (488069)CaDiCaL version: 2.1.3
% 19.76/4.26  % (488069)Termination reason: Instruction limit
% 19.76/4.26  % (488069)Termination phase: Property scanning
% 19.76/4.26  % (488069)Time elapsed: 0.062 s
% 19.76/4.26  % (488069)Peak memory usage: 95 MB
% 19.76/4.26  % (488069)Instructions burned: 158 (million)
% 19.76/4.26  % (488073)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4171733183:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 19.76/4.26  % (488071)Instruction limit reached! 
% 19.76/4.26  % (488071)------------------------------
% 19.76/4.26  % (488071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/4.26  % (488071)CaDiCaL version: 2.1.3
% 19.76/4.26  % (488071)Termination reason: Instruction limit
% 19.76/4.26  % (488071)Termination phase: Initialization
% 19.76/4.26  % (488071)Time elapsed: 0.108 s
% 19.76/4.26  % (488071)Peak memory usage: 97 MB
% 19.76/4.26  % (488071)Instructions burned: 248 (million)
% 19.76/4.26  % (488073)Instruction limit reached! 
% 19.76/4.26  % (488073)------------------------------
% 19.76/4.26  % (488073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/4.26  % (488073)CaDiCaL version: 2.1.3
% 19.76/4.26  % (488073)Termination reason: Instruction limit
% 19.76/4.26  % (488073)Termination phase: SInE selection
% 19.76/4.26  % (488073)Time elapsed: 0.074 s
% 19.76/4.26  % (488073)Peak memory usage: 99 MB
% 19.76/4.26  % (488073)Instructions burned: 295 (million)
% 19.76/4.26  % (488070)Instruction limit reached! 
% 19.76/4.26  % (488070)------------------------------
% 19.76/4.26  % (488070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/4.26  % (488070)CaDiCaL version: 2.1.3
% 19.76/4.26  % (488070)Termination reason: Instruction limit
% 19.76/4.26  % (488070)Termination phase: SInE selection
% 19.76/4.26  % (488070)Time elapsed: 0.157 s
% 19.76/4.26  % (488070)Peak memory usage: 99 MB
% 19.76/4.26  % (488070)Instructions burned: 326 (million)
% 19.76/4.26  % (488077)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3949256509:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 19.76/4.26  % (488080)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=708876076:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 19.76/4.26  % (488079)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=111386685:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 19.76/4.26  % (488080)Instruction limit reached! 
% 19.76/4.26  % (488080)------------------------------
% 19.76/4.26  % (488080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.76/4.26  % (488080)CaDiCaL version: 2.1.3
% 19.76/4.26  % (488080)Termination reason: Instruction limit
% 19.76/4.26  % (488080)Termination phase: Property scanning
% 19.76/4.26  % (488080)Time elapsed: 0.039 s
% 19.76/4.26  % (488080)Peak memory usage: 99 MB
% 19.76/4.26  % (488080)Instructions burned: 131 (million)
% 19.76/4.26  % (488081)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3819128252:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 19.76/4.26  % (488079)Instruction limit reached! 
% 19.76/4.26  % (488079)------------------------------
% 19.76/4.26  % (488079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.76/4.26  % (488079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488079)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488079)Termination reason: Instruction limit
% 28.83/6.20  % (488079)Termination phase: Property scanning
% 28.83/6.20  % (488079)Time elapsed: 0.064 s
% 28.83/6.20  % (488079)Peak memory usage: 99 MB
% 28.83/6.20  % (488079)Instructions burned: 114 (million)
% 28.83/6.20  % (488081)Instruction limit reached! 
% 28.83/6.20  % (488081)------------------------------
% 28.83/6.20  % (488081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488081)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488081)Termination reason: Instruction limit
% 28.83/6.20  % (488081)Termination phase: Property scanning
% 28.83/6.20  % (488081)Time elapsed: 0.046 s
% 28.83/6.20  % (488081)Peak memory usage: 95 MB
% 28.83/6.20  % (488081)Instructions burned: 116 (million)
% 28.83/6.20  % (488085)lrs+10_1_sil=8000:sp=occurrence:random_seed=3411071611:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 28.83/6.20  % (488087)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3317637126:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 28.83/6.20  % (488088)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4095162627:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 28.83/6.20  % (488085)Instruction limit reached! 
% 28.83/6.20  % (488085)------------------------------
% 28.83/6.20  % (488085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488085)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488085)Termination reason: Instruction limit
% 28.83/6.20  % (488085)Termination phase: Saturation
% 28.83/6.20  % (488085)Time elapsed: 0.241 s
% 28.83/6.20  % (488085)Peak memory usage: 108 MB
% 28.83/6.20  % (488085)Instructions burned: 908 (million)
% 28.83/6.20  % (488087)Instruction limit reached! 
% 28.83/6.20  % (488087)------------------------------
% 28.83/6.20  % (488087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488087)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488087)Termination reason: Instruction limit
% 28.83/6.20  % (488087)Termination phase: Preprocessing 2
% 28.83/6.20  % (488087)Time elapsed: 0.231 s
% 28.83/6.20  % (488087)Peak memory usage: 101 MB
% 28.83/6.20  % (488087)Instructions burned: 437 (million)
% 28.83/6.20  % (488092)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=920816529:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 28.83/6.20  % (488092)Instruction limit reached! 
% 28.83/6.20  % (488092)------------------------------
% 28.83/6.20  % (488092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488092)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488092)Termination reason: Instruction limit
% 28.83/6.20  % (488092)Termination phase: Preprocessing 2
% 28.83/6.20  % (488092)Time elapsed: 0.053 s
% 28.83/6.20  % (488092)Peak memory usage: 96 MB
% 28.83/6.20  % (488092)Instructions burned: 134 (million)
% 28.83/6.20  % (488093)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3661597385:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 28.83/6.20  % (488095)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1622749598:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 28.83/6.20  % (488093)Instruction limit reached! 
% 28.83/6.20  % (488093)------------------------------
% 28.83/6.20  % (488093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488093)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488093)Termination reason: Instruction limit
% 28.83/6.20  % (488093)Termination phase: Clausification
% 28.83/6.20  % (488093)Time elapsed: 0.330 s
% 28.83/6.20  % (488093)Peak memory usage: 107 MB
% 28.83/6.20  % (488093)Instructions burned: 593 (million)
% 28.83/6.20  % (488098)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=2847832662:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 28.83/6.20  % (488098)Instruction limit reached! 
% 28.83/6.20  % (488098)------------------------------
% 28.83/6.20  % (488098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488098)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488098)Termination reason: Instruction limit
% 28.83/6.20  % (488098)Termination phase: Property scanning
% 28.83/6.20  % (488098)Time elapsed: 0.051 s
% 28.83/6.20  % (488098)Peak memory usage: 95 MB
% 28.83/6.20  % (488098)Instructions burned: 127 (million)
% 28.83/6.20  % (488077)Instruction limit reached! 
% 28.83/6.20  % (488077)------------------------------
% 28.83/6.20  % (488077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488077)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488077)Termination reason: Instruction limit
% 28.83/6.20  % (488077)Termination phase: Saturation
% 28.83/6.20  % (488077)Time elapsed: 1.345 s
% 28.83/6.20  % (488077)Peak memory usage: 183 MB
% 28.83/6.20  % (488077)Instructions burned: 2350 (million)
% 28.83/6.20  % (488100)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1106091636:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 28.83/6.20  % (488100)Instruction limit reached! 
% 28.83/6.20  % (488100)------------------------------
% 28.83/6.20  % (488100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488100)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488100)Termination reason: Instruction limit
% 28.83/6.20  % (488100)Termination phase: Property scanning
% 28.83/6.20  % (488100)Time elapsed: 0.056 s
% 28.83/6.20  % (488100)Peak memory usage: 95 MB
% 28.83/6.20  % (488100)Instructions burned: 136 (million)
% 28.83/6.20  % (488101)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3228341502:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 28.83/6.20  % (488101)Refutation not found, incomplete strategy
% 28.83/6.20  % (488101)------------------------------
% 28.83/6.20  % (488101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488101)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488101)Termination reason: Refutation not found, incomplete strategy
% 28.83/6.20  % (488101)Time elapsed: 0.072 s
% 28.83/6.20  % (488101)Peak memory usage: 99 MB
% 28.83/6.20  % (488101)Instructions burned: 111 (million)
% 28.83/6.20  % (488103)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=242586175:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 28.83/6.20  % (488103)Instruction limit reached! 
% 28.83/6.20  % (488103)------------------------------
% 28.83/6.20  % (488103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488103)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488103)Termination reason: Instruction limit
% 28.83/6.20  % (488103)Termination phase: Saturation
% 28.83/6.20  % (488103)Time elapsed: 0.226 s
% 28.83/6.20  % (488103)Peak memory usage: 103 MB
% 28.83/6.20  % (488103)Instructions burned: 431 (million)
% 28.83/6.20  % (488101)------------------------------
% 28.83/6.20  % (488101)------------------------------
% 28.83/6.20  % (488106)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=1103884030:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 28.83/6.20  % (488107)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=1271481882:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 28.83/6.20  % (488107)Instruction limit reached! 
% 28.83/6.20  % (488107)------------------------------
% 28.83/6.20  % (488107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488107)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488107)Termination reason: Instruction limit
% 28.83/6.20  % (488107)Termination phase: Property scanning
% 28.83/6.20  % (488107)Time elapsed: 0.080 s
% 28.83/6.20  % (488107)Peak memory usage: 99 MB
% 28.83/6.20  % (488107)Instructions burned: 151 (million)
% 28.83/6.20  % (488110)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2903652861:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 28.83/6.20  % (488088)Instruction limit reached! 
% 28.83/6.20  % (488088)------------------------------
% 28.83/6.20  % (488088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.83/6.20  % (488088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/6.20  % (488088)CaDiCaL version: 2.1.3
% 28.83/6.20  % (488088)Termination reason: Instruction limit
% 28.83/6.20  % (488088)Termination phase: Saturation
% 28.83/6.20  % (488088)Time elapsed: 3.175 s
% 28.83/6.20  % (488088)Peak memory usage: 200 MB
% 28.83/6.20  % (488088)Instructions burned: 5202 (million)
% 28.83/6.20  % (488112)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2927325067:i=667:av=off:fsr=off_2952 on theBenchmark for (2952ds/667Mi)
% 28.83/6.20  % (488095)First to succeed.
% 28.83/6.20  % (488095)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-488049"
% 28.83/6.20  % (488095)Refutation found. Thanks to Tanya!
% 28.83/6.20  % SZS status Theorem for theBenchmark
% 28.83/6.20  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/6.41  % (488095)------------------------------
% 0.18/6.41  % (488095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/6.41  % (488095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/6.41  % (488095)CaDiCaL version: 2.1.3
% 0.18/6.41  % (488095)Termination reason: Refutation
% 0.18/6.41  % (488095)Time elapsed: 3.077 s
% 0.18/6.41  % (488095)Peak memory usage: 226 MB
% 0.18/6.41  % (488095)Instructions burned: 8926 (million)
% 0.18/6.41  % (488095)------------------------------
% 0.18/6.41  % (488095)------------------------------
% 0.18/6.41  % (488049)Success in time 5.34 s
% 0.18/6.41  % Vampire exiting
%------------------------------------------------------------------------------