Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP246_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:31:42 AM UTC 2026

% Result   : Theorem 25.96s 9.56s
% Output   : Refutation 57.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  289 ( 288 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  851 ( 849 usr;   1 prp; 0-5 aty)
%            Number of functors    : 2572 (2572 usr; 556 con; 0-8 aty)
%            Number of variables   :    4 (   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_fu3373238862511017284_nat_o: $tType ).

tff(type_def_6,type,
    fun_fu5323616038969315652_int_o: $tType ).

tff(type_def_7,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_8,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_9,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_10,type,
    fun_Pr1263128411319240110enat_o: $tType ).

tff(type_def_11,type,
    fun_fu1950632212952468284_rat_o: $tType ).

tff(type_def_12,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_13,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_14,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_15,type,
    produc9217583074051984497at_nat: $tType ).

tff(type_def_16,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_17,type,
    fun_fu4638078822479986034_int_o: $tType ).

tff(type_def_18,type,
    fun_fu4306744791715064858_rat_o: $tType ).

tff(type_def_19,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_20,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_21,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_22,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_23,type,
    fun_fu9045186299510176150at_o_o: $tType ).

tff(type_def_24,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_25,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_26,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_27,type,
    fun_fu6910828598506988974real_o: $tType ).

tff(type_def_28,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_29,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_30,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_31,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_32,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_33,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_34,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_35,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_36,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_37,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_38,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_39,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_40,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_41,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_42,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_43,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_44,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_45,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_46,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_47,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_48,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_49,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_50,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_51,type,
    fun_fu7981297689148232565al_o_o: $tType ).

tff(type_def_52,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_53,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_54,type,
    fun_se1865396762483378772_nat_o: $tType ).

tff(type_def_55,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_56,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_57,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_58,type,
    fun_fu4846507671440591850_rat_o: $tType ).

tff(type_def_59,type,
    fun_fu5908277796454533188_int_o: $tType ).

tff(type_def_60,type,
    fun_fu6714665071556184448_rat_o: $tType ).

tff(type_def_61,type,
    fun_fu9201817095025044880_nat_o: $tType ).

tff(type_def_62,type,
    fun_fu4208408993564413984_int_o: $tType ).

tff(type_def_63,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_64,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_65,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_66,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_67,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_68,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_69,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_70,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_71,type,
    fun_se6072594010446775118enat_o: $tType ).

tff(type_def_72,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_73,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_74,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_75,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_76,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_77,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_78,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_79,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_80,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_81,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_82,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_83,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_84,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_85,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_86,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_87,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_88,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_89,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_90,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_91,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_92,type,
    produc7272778201969148633d_enat: $tType ).

tff(type_def_93,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_94,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_95,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_96,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_97,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_98,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_99,type,
    fun_se9162176452187397432plex_o: $tType ).

tff(type_def_100,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_101,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_102,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_103,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_104,type,
    fun_fu7564235448449272366at_o_o: $tType ).

tff(type_def_105,type,
    fun_fu6971708032831053102nt_o_o: $tType ).

tff(type_def_106,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_107,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_108,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_109,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_110,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_111,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_112,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_113,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_114,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_115,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_116,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_117,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_118,type,
    fun_fu1771228864347509049real_o: $tType ).

tff(type_def_119,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_120,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_121,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_122,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_123,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_124,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_125,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_126,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_127,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_128,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_129,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_130,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_131,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_132,type,
    fun_se2161501677553633980real_o: $tType ).

tff(type_def_133,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_134,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_135,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_136,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_137,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_138,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_139,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_140,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_141,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_142,type,
    fun_se382663106265794036_nat_o: $tType ).

tff(type_def_143,type,
    fun_se867122708194164540_int_o: $tType ).

tff(type_def_144,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_145,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_146,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_147,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_148,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_149,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_150,type,
    list_P3795440434834930179_o_int: $tType ).

tff(type_def_151,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_152,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

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

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

tff(type_def_157,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_158,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

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

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

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

tff(type_def_169,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

tff(type_def_172,type,
    fun_Ex3741802288643809319omplex: $tType ).

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

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

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

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

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

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

tff(type_def_179,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_192,type,
    fun_Pr1792556611952799308t_real: $tType ).

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

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

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

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

tff(type_def_197,type,
    fun_Ex1451620480498224165t_real: $tType ).

tff(type_def_198,type,
    fun_na8797796813480665199d_enat: $tType ).

tff(type_def_199,type,
    fun_Ex4152069839811072081at_rat: $tType ).

tff(type_def_200,type,
    fun_Ex7660298398204468809at_nat: $tType ).

tff(type_def_201,type,
    fun_Ex3482447378695272101at_int: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: complex > fun_complex_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_real_fun_real_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_nat_fun_nat_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_int_fun_int_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_Co2081214437782444048eger_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_Extended_enat > fun_se6072594010446775118enat_o ).

tff(func_def_12,type,
    aTP_Lamm_al: set_complex > fun_se9162176452187397432plex_o ).

tff(func_def_13,type,
    aTP_Lamm_am: set_real > fun_se2161501677553633980real_o ).

tff(func_def_14,type,
    aTP_Lamm_an: set_list_nat > fun_se1865396762483378772_nat_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: set_int > fun_se867122708194164540_int_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_nat > fun_se382663106265794036_nat_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_real_real ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_rat_rat ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_nat_nat ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_int_int ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_re7681423839302404990l_real ).

tff(func_def_22,type,
    aTP_Lamm_av: rat > fun_rat_rat ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_nat_fun_nat_nat ).

tff(func_def_24,type,
    aTP_Lamm_ax: int > fun_int_int ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_complex_complex ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_real_real ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_rat_rat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_int_int ).

tff(func_def_30,type,
    aTP_Lamm_bd: list_complex > fun_complex_o ).

tff(func_def_31,type,
    aTP_Lamm_be: list_real > fun_real_o ).

tff(func_def_32,type,
    aTP_Lamm_bf: list_list_nat > fun_list_nat_o ).

tff(func_def_33,type,
    aTP_Lamm_bg: list_VEBT_VEBT > fun_VEBT_VEBT_o ).

tff(func_def_34,type,
    aTP_Lamm_bh: list_o > fun_o_o ).

tff(func_def_35,type,
    aTP_Lamm_bi: list_nat > fun_nat_o ).

tff(func_def_36,type,
    aTP_Lamm_bj: list_int > fun_int_o ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_nat_fun_nat_o ).

tff(func_def_38,type,
    aTP_Lamm_bl: complex > fun_na1591161823130732966omplex ).

tff(func_def_39,type,
    aTP_Lamm_bm: real > fun_na6724076748692969250l_real ).

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

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

tff(func_def_42,type,
    aTP_Lamm_bp: nat > fun_nat_fun_nat_nat ).

tff(func_def_43,type,
    aTP_Lamm_bq: complex > fun_na1591161823130732966omplex ).

tff(func_def_44,type,
    aTP_Lamm_br: rat > fun_nat_fun_rat_rat ).

tff(func_def_45,type,
    aTP_Lamm_bs: real > fun_na6724076748692969250l_real ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_re4238438383274954274t_real ).

tff(func_def_47,type,
    aTP_Lamm_bu: complex > fun_nat_complex ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_re4238438383274954274t_real ).

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

tff(func_def_50,type,
    aTP_Lamm_bx: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_int_int > fun_int_fun_int_int ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_nat_nat > fun_nat_nat ).

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

tff(func_def_55,type,
    aTP_Lamm_cc: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_int > fun_na7654559027617327379at_int ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_nat_real > fun_nat_real ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_nat_rat > fun_nat_rat ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_nat_rat > fun_nat_fun_rat_rat ).

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

tff(func_def_65,type,
    aTP_Lamm_cm: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_66,type,
    aTP_Lamm_cn: complex > fun_nat_complex ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_re4238438383274954274t_real ).

tff(func_def_68,type,
    aTP_Lamm_cp: rat > fun_nat_rat ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_fun_nat_nat ).

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

tff(func_def_71,type,
    aTP_Lamm_cs: complex > fun_na1142814060743658952omplex ).

tff(func_def_72,type,
    aTP_Lamm_ct: real > fun_nat_fun_nat_real ).

tff(func_def_73,type,
    aTP_Lamm_cu: rat > fun_nat_fun_nat_rat ).

tff(func_def_74,type,
    aTP_Lamm_cv: nat > fun_nat_fun_nat_nat ).

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

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

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

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

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_int > fun_nat_int ).

tff(func_def_80,type,
    aTP_Lamm_db: complex > fun_nat_complex ).

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

tff(func_def_82,type,
    aTP_Lamm_dd: fun_re4238438383274954274t_real ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_nat_fun_nat_nat ).

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

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_nat ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_int ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_int_int ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_re4238438383274954274t_real ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_re4238438383274954274t_real ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_nat_complex > fun_nat_complex ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_nat_real > fun_nat_real ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_nat_real ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_100,type,
    aTP_Lamm_dv: real > fun_fu6899955116716589935t_real ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_nat_real > fun_nat_real ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_re4238438383274954274t_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_nat_real ).

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

tff(func_def_108,type,
    aTP_Lamm_ed: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_re4238438383274954274t_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_nat_fun_nat_o ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_nat_fun_nat_o ).

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

tff(func_def_115,type,
    aTP_Lamm_ek: int > fun_int_fun_int_o ).

tff(func_def_116,type,
    aTP_Lamm_el: int > fun_int_fun_int_o ).

tff(func_def_117,type,
    aTP_Lamm_em: nat > fun_co1148497455491383662plex_o ).

tff(func_def_118,type,
    aTP_Lamm_en: nat > fun_nat_fun_nat_nat ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_re4238438383274954274t_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_re4238438383274954274t_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_real ).

tff(func_def_122,type,
    aTP_Lamm_er: nat > fun_complex_o ).

tff(func_def_123,type,
    aTP_Lamm_es: real > fun_fu6899955116716589935t_real ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_127,type,
    aTP_Lamm_ew: fun_re4238438383274954274t_real ).

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

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_fun_nat_nat ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_fun_nat_nat ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_nat_fun_nat_nat ).

tff(func_def_132,type,
    aTP_Lamm_fb: nat > fun_nat_fun_nat_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: nat > fun_na3244735409550470327at_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: nat > fun_na3244735409550470327at_nat ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_fun_nat_nat ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_nat_fun_nat_nat ).

tff(func_def_140,type,
    aTP_Lamm_fj: complex > fun_na1554462459066888140plex_o ).

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

tff(func_def_142,type,
    aTP_Lamm_fl: num > fun_na4138050610385705875at_nat ).

tff(func_def_143,type,
    aTP_Lamm_fm: num > fun_in1696471567231710611nt_int ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_na4138050610385705875at_nat ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_real_fun_real_o ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_real_o ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_real_fun_real_o ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_real_o ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_real_fun_real_o ).

tff(func_def_150,type,
    aTP_Lamm_ft: num > fun_Co2470855966376689427nteger ).

tff(func_def_151,type,
    aTP_Lamm_fu: set_nat > fun_nat_fun_nat_o ).

tff(func_def_152,type,
    aTP_Lamm_fv: set_nat > fun_nat_fun_nat_o ).

tff(func_def_153,type,
    aTP_Lamm_fw: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_154,type,
    aTP_Lamm_fx: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_155,type,
    aTP_Lamm_fy: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_o ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_o ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_fun_nat_nat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_nat_fun_nat_nat ).

tff(func_def_160,type,
    aTP_Lamm_gd: real > fun_int_o ).

tff(func_def_161,type,
    aTP_Lamm_ge: rat > fun_int_o ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_in1696471567231710611nt_int ).

tff(func_def_163,type,
    aTP_Lamm_gg: int > fun_in2204242111582549184nt_int ).

tff(func_def_164,type,
    aTP_Lamm_gh: rat > fun_in1696471567231710611nt_int ).

tff(func_def_165,type,
    aTP_Lamm_gi: int > fun_in2204242111582549184nt_int ).

tff(func_def_166,type,
    aTP_Lamm_gj: rat > fun_in1696471567231710611nt_int ).

tff(func_def_167,type,
    aTP_Lamm_gk: int > fun_in2204242111582549184nt_int ).

tff(func_def_168,type,
    aTP_Lamm_gl: rat > fun_in1696471567231710611nt_int ).

tff(func_def_169,type,
    aTP_Lamm_gm: int > fun_in2204242111582549184nt_int ).

tff(func_def_170,type,
    aTP_Lamm_gn: rat > fun_in1696471567231710611nt_int ).

tff(func_def_171,type,
    aTP_Lamm_go: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_Co1092983284983208416er_int ).

tff(func_def_173,type,
    aTP_Lamm_gq: nat > fun_na4143055713577223196at_nat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_na1668100129766719005at_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_na5914473681949881652_nat_o ).

tff(func_def_177,type,
    aTP_Lamm_gu: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_na5914473681949881652_nat_o ).

tff(func_def_179,type,
    aTP_Lamm_gw: nat > fun_na4143055713577223196at_nat ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_na1668100129766719005at_nat ).

tff(func_def_181,type,
    aTP_Lamm_gy: nat > fun_na4143055713577223196at_nat ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_na1668100129766719005at_nat ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_nat_fun_nat_nat ).

tff(func_def_184,type,
    aTP_Lamm_hb: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_fun_nat_nat ).

tff(func_def_186,type,
    aTP_Lamm_hd: num > fun_num_int ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_option_num ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_num_option_num ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_num_option_num ).

tff(func_def_190,type,
    aTP_Lamm_hh: num > fun_nat_option_num ).

tff(func_def_191,type,
    aTP_Lamm_hi: num > fun_nat_option_num ).

tff(func_def_192,type,
    aTP_Lamm_hj: int > fun_int_int ).

tff(func_def_193,type,
    aTP_Lamm_hk: nat > fun_num_option_num ).

tff(func_def_194,type,
    aTP_Lamm_hl: nat > fun_num_option_num ).

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

tff(func_def_196,type,
    aTP_Lamm_hn: fun_na7595719129879163854on_num ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_Co8521658056209057742er_num ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_nat_fun_nat_nat ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_fun_nat_nat ).

tff(func_def_200,type,
    aTP_Lamm_hr: nat > fun_nat_fun_nat_o ).

tff(func_def_201,type,
    aTP_Lamm_hs: nat > fun_nat_fun_nat_o ).

tff(func_def_202,type,
    aTP_Lamm_ht: rat > fun_Pr3238374608701176162_int_o ).

tff(func_def_203,type,
    aTP_Lamm_hu: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_204,type,
    aTP_Lamm_hv: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_205,type,
    aTP_Lamm_hw: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_nat_fun_nat_nat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_nat_fun_nat_nat ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_nat_nat ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_real_o ).

tff(func_def_210,type,
    aTP_Lamm_ib: fun_real_o ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_nat_fun_nat_nat ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_na6724076748692969250l_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_real_real > fun_real_real ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_na6724076748692969250l_real ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_re7681423839302404990l_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_nat_real > fun_real_real ).

tff(func_def_224,type,
    aTP_Lamm_ip: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_225,type,
    aTP_Lamm_iq: real > fun_fu5589980185390252312t_real ).

tff(func_def_226,type,
    aTP_Lamm_ir: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_227,type,
    aTP_Lamm_is: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: nat > fun_fu3612569900928539882l_real ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_real_real ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_re4238438383274954274t_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_real_real ).

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

tff(func_def_235,type,
    aTP_Lamm_ja: fun_nat_real ).

tff(func_def_236,type,
    aTP_Lamm_jb: fun_nat_real > fun_fu6899955116716589935t_real ).

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

tff(func_def_238,type,
    aTP_Lamm_jd: fun_nat_real ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_re4238438383274954274t_real ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_nat_real ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_re4238438383274954274t_real ).

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

tff(func_def_243,type,
    aTP_Lamm_ji: fun_re4238438383274954274t_real ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_re4238438383274954274t_real ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_re4238438383274954274t_real ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_re4238438383274954274t_real ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_real > fun_nat_real ).

tff(func_def_250,type,
    aTP_Lamm_jp: fun_nat_real > fun_nat_real ).

tff(func_def_251,type,
    aTP_Lamm_jq: fun_nat_real > fun_nat_real ).

tff(func_def_252,type,
    aTP_Lamm_jr: fun_nat_o > fun_nat_o ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_real_real > fun_fu3077872570260440615l_real ).

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

tff(func_def_257,type,
    aTP_Lamm_jw: fun_real_real > fun_real_o ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_real_real ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_na6724076748692969250l_real ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_re7681423839302404990l_real ).

tff(func_def_262,type,
    aTP_Lamm_kb: nat > fun_fu3077872570260440615l_real ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_re7681423839302404990l_real ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_real_o > fun_real_fun_real_o ).

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

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

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

tff(func_def_268,type,
    aTP_Lamm_kh: int > fun_in5570076352459579423_int_o ).

tff(func_def_269,type,
    aTP_Lamm_ki: rat > fun_int_fun_int_o ).

tff(func_def_270,type,
    aTP_Lamm_kj: int > fun_in5570076352459579423_int_o ).

tff(func_def_271,type,
    aTP_Lamm_kk: rat > fun_int_fun_int_o ).

tff(func_def_272,type,
    aTP_Lamm_kl: int > fun_int_fun_int_o ).

tff(func_def_273,type,
    aTP_Lamm_km: int > fun_int_fun_int_o ).

tff(func_def_274,type,
    aTP_Lamm_kn: real > fun_real_fun_real_o ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_re5512370375968561900l_real ).

tff(func_def_276,type,
    aTP_Lamm_kp: real > fun_co1148497455491383662plex_o ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_re3844104906058862192omplex ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_nat_fun_nat_o ).

tff(func_def_280,type,
    aTP_Lamm_kt: fun_fu6579618355643354601at_rat ).

tff(func_def_281,type,
    aTP_Lamm_ku: rat > fun_nat_rat ).

tff(func_def_282,type,
    aTP_Lamm_kv: fun_fu8328862064278946247at_rat ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_fu6579618355643354601at_rat ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_Co3583066429914935172er_nat ).

tff(func_def_286,type,
    aTP_Lamm_kz: fun_nat_rat > fun_nat_rat ).

tff(func_def_287,type,
    aTP_Lamm_la: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_288,type,
    aTP_Lamm_lb: fun_nat_rat ).

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

tff(func_def_290,type,
    aTP_Lamm_ld: fun_nat_rat ).

tff(func_def_291,type,
    aTP_Lamm_le: int > fun_nat_rat ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_fu8328862064278946247at_rat ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_fun_nat_rat_o ).

tff(func_def_294,type,
    aTP_Lamm_lh: fun_num_fun_num_int ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_int_int ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_Pr1308109350235310159nt_int ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_Pr1308109350235310159nt_int ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_Pr3238374608701176162_int_o ).

tff(func_def_299,type,
    aTP_Lamm_lm: set_real > fun_real_o ).

tff(func_def_300,type,
    aTP_Lamm_ln: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_na5914473681949881652_nat_o ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_re7681423839302404990l_real ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_re7681423839302404990l_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: extended_enat > fun_nat_o ).

tff(func_def_305,type,
    aTP_Lamm_ls: extended_enat > fun_nat_o ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_int_fun_int_int ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_na819858167508000762st_nat ).

tff(func_def_308,type,
    aTP_Lamm_lv: real > fun_re8658731967611918585t_real ).

tff(func_def_309,type,
    aTP_Lamm_lw: nat > fun_nat_fun_nat_o ).

tff(func_def_310,type,
    aTP_Lamm_lx: nat > fun_nat_set_nat ).

tff(func_def_311,type,
    aTP_Lamm_ly: nat > fun_nat_set_nat ).

tff(func_def_312,type,
    aTP_Lamm_lz: nat > fun_nat_set_nat ).

tff(func_def_313,type,
    aTP_Lamm_ma: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_314,type,
    aTP_Lamm_mb: nat > fun_na8797796813480665199d_enat ).

tff(func_def_315,type,
    aTP_Lamm_mc: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_316,type,
    aTP_Lamm_md: nat > fun_na8797796813480665199d_enat ).

tff(func_def_317,type,
    aTP_Lamm_me: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_318,type,
    aTP_Lamm_mf: nat > fun_na8797796813480665199d_enat ).

tff(func_def_319,type,
    aTP_Lamm_mg: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_na8797796813480665199d_enat ).

tff(func_def_321,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_322,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_323,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_324,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_325,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_326,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_327,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_328,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_329,type,
    bNF_re5089333283451836215nt_o_o: ( fun_int_fun_int_o * fun_o_fun_o_o ) > fun_fu6971708032831053102nt_o_o ).

tff(func_def_330,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_o * fun_int_fun_int_o ) > fun_fu4208408993564413984_int_o ).

tff(func_def_331,type,
    bNF_re4705727531993890431at_o_o: ( fun_nat_fun_nat_o * fun_o_fun_o_o ) > fun_fu7564235448449272366at_o_o ).

tff(func_def_332,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_fu9201817095025044880_nat_o ).

tff(func_def_333,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_o * fun_int_fun_int_o ) > fun_fu5908277796454533188_int_o ).

tff(func_def_334,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu5323616038969315652_int_o ).

tff(func_def_335,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o ) > fun_fu4306744791715064858_rat_o ).

tff(func_def_336,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_337,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_338,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_339,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_340,type,
    bNF_re3218747500659316912al_o_o: ( fun_fu1771228864347509049real_o * fun_o_fun_o_o ) > fun_fu7981297689148232565al_o_o ).

tff(func_def_341,type,
    bNF_re237660433471117187t_real: ( fun_fu1771228864347509049real_o * fun_fu1771228864347509049real_o ) > fun_fu6910828598506988974real_o ).

tff(func_def_342,type,
    bNF_re9178625837396562677at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu6714665071556184448_rat_o ) > fun_fu1950632212952468284_rat_o ).

tff(func_def_343,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_344,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_345,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_346,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_347,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_348,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_349,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_350,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_351,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_352,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_353,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_354,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_355,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_356,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_357,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_358,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_359,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_360,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_361,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_362,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_363,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_364,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_365,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_366,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_367,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_368,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_369,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_370,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_371,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_372,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_373,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_374,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_375,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_376,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_377,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_378,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_379,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_380,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_381,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_382,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_383,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_384,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_385,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_386,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_387,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_o ).

tff(func_def_388,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_389,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_390,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_391,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_392,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_393,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_394,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_395,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_396,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_397,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_398,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_399,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_400,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_401,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_402,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_403,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_404,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_405,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_406,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_407,type,
    comple2295165028678016749d_enat: set_Extended_enat > extended_enat ).

tff(func_def_408,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_409,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_410,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_411,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_412,type,
    comple4398354569131411667d_enat: set_Extended_enat > extended_enat ).

tff(func_def_413,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_414,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_415,type,
    arg: fun_complex_real ).

tff(func_def_416,type,
    cis: fun_real_complex ).

tff(func_def_417,type,
    cnj: fun_complex_complex ).

tff(func_def_418,type,
    complex2: real > fun_real_complex ).

tff(func_def_419,type,
    im: fun_complex_real ).

tff(func_def_420,type,
    re: fun_complex_real ).

tff(func_def_421,type,
    csqrt: fun_complex_complex ).

tff(func_def_422,type,
    imaginary_unit: complex ).

tff(func_def_423,type,
    rcis: real > fun_real_complex ).

tff(func_def_424,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_425,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_426,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_427,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_428,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_429,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_430,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_431,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_432,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_433,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_434,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_435,type,
    euclid4777050414544973029ze_nat: fun_nat_nat ).

tff(func_def_436,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_437,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_438,type,
    extended_eSuc: fun_Ex5852502975177633731d_enat ).

tff(func_def_439,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_440,type,
    extended_case_enat_o: ( fun_nat_o * $o ) > fun_Extended_enat_o ).

tff(func_def_441,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_442,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_443,type,
    extended_the_enat: fun_Ex7660298398204468809at_nat ).

tff(func_def_444,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_445,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_446,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_447,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_448,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_449,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_450,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_451,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_452,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_453,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_454,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_455,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_456,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_457,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_458,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_459,type,
    at_bot_real: filter_real ).

tff(func_def_460,type,
    at_top_nat: filter_nat ).

tff(func_def_461,type,
    at_top_real: filter_real ).

tff(func_def_462,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_463,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_464,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_465,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_466,type,
    finite_card_o: set_o > nat ).

tff(func_def_467,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_468,type,
    finite_card_int: set_int > nat ).

tff(func_def_469,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_470,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_471,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_472,type,
    finite_card_char: set_char > nat ).

tff(func_def_473,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_474,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_475,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_476,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_477,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_478,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_479,type,
    id_o: fun_o_o ).

tff(func_def_480,type,
    id_nat: fun_nat_nat ).

tff(func_def_481,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_482,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_483,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_484,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_485,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_486,type,
    map_fu898904425404107465nt_o_o: ( fun_ra4503298312962071866nt_int * fun_o_o * fun_Pr3238374608701176162_int_o ) > fun_rat_o ).

tff(func_def_487,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_488,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_489,type,
    map_fu6719675619867407465at_o_o: ( fun_real_fun_nat_rat * fun_o_o * fun_fun_nat_rat_o ) > fun_real_o ).

tff(func_def_490,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_491,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_492,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_493,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_494,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_495,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_496,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_497,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_498,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_499,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_500,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_501,type,
    gcd_lcm_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_502,type,
    gcd_lcm_int: int > fun_int_int ).

tff(func_def_503,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_504,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_505,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_506,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_507,type,
    abs_abs_int: fun_int_int ).

tff(func_def_508,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_509,type,
    abs_abs_real: fun_real_real ).

tff(func_def_510,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_511,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_512,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_513,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_514,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_515,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_516,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_517,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_518,type,
    minus_925952699566721837d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_519,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_520,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_521,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_522,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_523,type,
    minus_8169481405280535082plex_o: ( fun_complex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_524,type,
    minus_6189366049226783950enat_o: ( fun_Extended_enat_o * fun_Extended_enat_o ) > fun_Extended_enat_o ).

tff(func_def_525,type,
    minus_7151557278095657260_int_o: ( fun_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_526,type,
    minus_5761417318614613624_nat_o: ( fun_list_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_527,type,
    minus_8972599623528345224_nat_o: ( fun_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_528,type,
    minus_404528632214381484real_o: ( fun_real_o * fun_real_o ) > fun_real_o ).

tff(func_def_529,type,
    one_one_Code_integer: code_integer ).

tff(func_def_530,type,
    one_one_complex: complex ).

tff(func_def_531,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_532,type,
    one_one_int: int ).

tff(func_def_533,type,
    one_one_nat: nat ).

tff(func_def_534,type,
    one_one_rat: rat ).

tff(func_def_535,type,
    one_one_real: real ).

tff(func_def_536,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_537,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_538,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_539,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_540,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_541,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_542,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_543,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_544,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_545,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_546,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_547,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_548,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_549,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_550,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_551,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_552,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_553,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_554,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_555,type,
    times_times_num: num > fun_num_num ).

tff(func_def_556,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_557,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_558,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_559,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_560,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_561,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_562,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_563,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_564,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_565,type,
    zero_zero_complex: complex ).

tff(func_def_566,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_567,type,
    zero_zero_int: int ).

tff(func_def_568,type,
    zero_zero_nat: nat ).

tff(func_def_569,type,
    zero_zero_rat: rat ).

tff(func_def_570,type,
    zero_zero_real: real ).

tff(func_def_571,type,
    zero_zero_literal: literal ).

tff(func_def_572,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_573,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_574,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_575,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_576,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_577,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_578,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_579,type,
    groups4622424608036095791omplex: ( fun_Ex3741802288643809319omplex * set_Extended_enat ) > complex ).

tff(func_def_580,type,
    groups2878480467620962989at_int: ( fun_Ex3482447378695272101at_int * set_Extended_enat ) > int ).

tff(func_def_581,type,
    groups2880970938130013265at_nat: ( fun_Ex7660298398204468809at_nat * set_Extended_enat ) > nat ).

tff(func_def_582,type,
    groups2245840878043517529at_rat: ( fun_Ex4152069839811072081at_rat * set_Extended_enat ) > rat ).

tff(func_def_583,type,
    groups97031904164794029t_real: ( fun_Ex1451620480498224165t_real * set_Extended_enat ) > real ).

tff(func_def_584,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_585,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_586,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_587,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_588,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_589,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_590,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_591,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_592,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_593,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_594,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_595,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_596,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_597,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_598,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_599,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_600,type,
    the_int: fun_int_o > int ).

tff(func_def_601,type,
    the_Pr4378521158711661632nt_int: fun_Pr3238374608701176162_int_o > product_prod_int_int ).

tff(func_def_602,type,
    the_real: fun_real_o > real ).

tff(func_def_603,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_604,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_605,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_606,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_607,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_608,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_609,type,
    nat2: fun_int_nat ).

tff(func_def_610,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_611,type,
    power_int_real: real > fun_int_real ).

tff(func_def_612,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_613,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_614,type,
    ring_1_Ints_int: set_int ).

tff(func_def_615,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_616,type,
    ring_1_Ints_real: set_real ).

tff(func_def_617,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_618,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_619,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_620,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_621,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_622,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_623,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_624,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_625,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_626,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_627,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_628,type,
    lattic921264341876707157d_enat: set_Extended_enat > extended_enat ).

tff(func_def_629,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_630,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_631,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_632,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_633,type,
    last_nat: list_nat > nat ).

tff(func_def_634,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_635,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_636,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_637,type,
    nil_int: list_int ).

tff(func_def_638,type,
    nil_nat: list_nat ).

tff(func_def_639,type,
    hd_nat: list_nat > nat ).

tff(func_def_640,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_641,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_642,type,
    set_o2: list_o > set_o ).

tff(func_def_643,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_644,type,
    set_Extended_enat2: list_Extended_enat > set_Extended_enat ).

tff(func_def_645,type,
    set_int2: list_int > set_int ).

tff(func_def_646,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_647,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_648,type,
    set_real2: list_real > set_real ).

tff(func_def_649,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_650,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_651,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_652,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_653,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_654,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_655,type,
    nth_Extended_enat: ( list_Extended_enat * nat ) > extended_enat ).

tff(func_def_656,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_657,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_658,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_659,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_660,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_661,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_662,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_663,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_664,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_665,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_666,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_667,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_668,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_669,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_670,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_671,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_672,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_673,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_674,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_675,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_676,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_677,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_678,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_679,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_680,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_681,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_682,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_683,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_684,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_685,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_686,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_687,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_688,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_689,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_690,type,
    upto: ( int * int ) > list_int ).

tff(func_def_691,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_692,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_693,type,
    suc: fun_nat_nat ).

tff(func_def_694,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_695,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_696,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_697,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_698,type,
    pred: fun_nat_nat ).

tff(func_def_699,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_700,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_701,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_702,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_703,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_704,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_705,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_706,type,
    size_size_list_o: list_o > nat ).

tff(func_def_707,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_708,type,
    size_s3941691890525107288d_enat: list_Extended_enat > nat ).

tff(func_def_709,type,
    size_size_list_int: list_int > nat ).

tff(func_def_710,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_711,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_712,type,
    size_size_list_num: list_num > nat ).

tff(func_def_713,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_714,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_715,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

tff(func_def_716,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_717,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

tff(func_def_718,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_719,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_720,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_721,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_722,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_723,type,
    size_size_list_real: list_real > nat ).

tff(func_def_724,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_725,type,
    size_size_num: fun_num_nat ).

tff(func_def_726,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_727,type,
    nat_list_decode: nat > list_nat ).

tff(func_def_728,type,
    nat_list_decode_rel: fun_nat_fun_nat_o ).

tff(func_def_729,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_730,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_731,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

tff(func_def_732,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_733,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_734,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_735,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_736,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_737,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_738,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_739,type,
    sqrt: fun_real_real ).

tff(func_def_740,type,
    bitM: fun_num_num ).

tff(func_def_741,type,
    inc: fun_num_num ).

tff(func_def_742,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_743,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_744,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_745,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_746,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_747,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_748,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_749,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_750,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_751,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_752,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_753,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_754,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_755,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_756,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_757,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_758,type,
    bit0: fun_num_num ).

tff(func_def_759,type,
    bit1: fun_num_num ).

tff(func_def_760,type,
    one: num ).

tff(func_def_761,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_762,type,
    size_num: fun_num_nat ).

tff(func_def_763,type,
    num_of_nat: fun_nat_num ).

tff(func_def_764,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_765,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_766,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_767,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_768,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_769,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_770,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_771,type,
    pow: num > fun_num_num ).

tff(func_def_772,type,
    pred_numeral: fun_num_nat ).

tff(func_def_773,type,
    sqr: fun_num_num ).

tff(func_def_774,type,
    none_nat: option_nat ).

tff(func_def_775,type,
    none_num: option_num ).

tff(func_def_776,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_777,type,
    some_nat: nat > option_nat ).

tff(func_def_778,type,
    some_num: num > option_num ).

tff(func_def_779,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_780,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_781,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_782,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_783,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_784,type,
    the_nat: option_nat > nat ).

tff(func_def_785,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_786,type,
    bot_bot_nat: nat ).

tff(func_def_787,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_788,type,
    bot_bot_set_int: set_int ).

tff(func_def_789,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_790,type,
    bot_bot_set_num: set_num ).

tff(func_def_791,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_792,type,
    bot_bot_set_real: set_real ).

tff(func_def_793,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_794,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_795,type,
    ord_Le1955565732374568822d_enat: fun_Extended_enat_o > extended_enat ).

tff(func_def_796,type,
    ord_Least_nat: fun_nat_o > nat ).

tff(func_def_797,type,
    ord_Least_real: fun_real_o > real ).

tff(func_def_798,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_799,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_800,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_801,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_802,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_803,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_804,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_805,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_806,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_807,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_808,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_809,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_810,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_811,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_812,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_813,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_814,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_815,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_816,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_817,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_818,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_819,type,
    top_to3028658606643905974d_enat: extended_enat ).

tff(func_def_820,type,
    top_top_set_o: set_o ).

tff(func_def_821,type,
    top_top_set_nat: set_nat ).

tff(func_def_822,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_823,type,
    top_top_set_real: set_real ).

tff(func_def_824,type,
    top_top_set_char: set_char ).

tff(func_def_825,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_826,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_827,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_828,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_829,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_830,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_831,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_832,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_833,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_834,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_835,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_836,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_837,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_838,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_839,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_840,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_841,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_842,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_843,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_844,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_845,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_846,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_847,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_848,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_849,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_850,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_851,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_852,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_853,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_854,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_855,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_856,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_857,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_858,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_859,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_860,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_861,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_862,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_863,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_864,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_865,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_866,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_867,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_868,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_869,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_870,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_871,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_872,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_873,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_874,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_875,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_876,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_877,type,
    fract: int > fun_int_rat ).

tff(func_def_878,type,
    frct: product_prod_int_int > rat ).

tff(func_def_879,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_880,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_881,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_882,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_883,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_884,type,
    positive: fun_rat_o ).

tff(func_def_885,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_886,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_887,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_888,type,
    cr_real: fun_fu1771228864347509049real_o ).

tff(func_def_889,type,
    pcr_real: fun_fu1771228864347509049real_o ).

tff(func_def_890,type,
    positive2: fun_real_o ).

tff(func_def_891,type,
    realrel: fun_fu6714665071556184448_rat_o ).

tff(func_def_892,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_893,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_894,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_895,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_896,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_897,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_898,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_899,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_900,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_901,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_902,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_903,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_904,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_905,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_906,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_907,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_908,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_909,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_910,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_911,type,
    dvd_dvd_complex: complex > fun_complex_o ).

tff(func_def_912,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_913,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_914,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_915,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_916,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_917,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_918,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_919,type,
    zero_n356916108424825756nteger: $o > code_integer ).

tff(func_def_920,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_921,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_922,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_923,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_924,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_925,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_926,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_927,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_928,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_929,type,
    collect_Code_integer: fun_Code_integer_o > set_Code_integer ).

tff(func_def_930,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_931,type,
    collec4429806609662206161d_enat: fun_Extended_enat_o > set_Extended_enat ).

tff(func_def_932,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_933,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_934,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_935,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_936,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_937,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_938,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_939,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_940,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_o > set_VEBT_VEBT ).

tff(func_def_941,type,
    image_80655429650038917d_enat: ( fun_Ex5852502975177633731d_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_942,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_943,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_944,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_945,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_946,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_947,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_948,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_949,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_950,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_951,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_952,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_953,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_954,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_955,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_956,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_957,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_958,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_959,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_960,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_961,type,
    set_or5403411693681687835d_enat: ( extended_enat * extended_enat ) > set_Extended_enat ).

tff(func_def_962,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_963,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_964,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_965,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_966,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_967,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_968,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_969,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_970,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_971,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_972,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_973,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_974,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_975,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_976,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_977,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_978,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_979,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_980,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_981,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_982,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_983,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_984,type,
    ascii_of: char > char ).

tff(func_def_985,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_986,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_987,type,
    integer_of_char: char > code_integer ).

tff(func_def_988,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_989,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_990,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_991,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_992,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_993,type,
    arccos: fun_real_real ).

tff(func_def_994,type,
    arcosh_real: fun_real_real ).

tff(func_def_995,type,
    arcsin: fun_real_real ).

tff(func_def_996,type,
    arctan: fun_real_real ).

tff(func_def_997,type,
    arsinh_real: fun_real_real ).

tff(func_def_998,type,
    artanh_real: fun_real_real ).

tff(func_def_999,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1000,type,
    cos_real: fun_real_real ).

tff(func_def_1001,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1002,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1003,type,
    cosh_real: fun_real_real ).

tff(func_def_1004,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1005,type,
    cot_real: fun_real_real ).

tff(func_def_1006,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1007,type,
    exp_real: fun_real_real ).

tff(func_def_1008,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1009,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1010,type,
    pi: real ).

tff(func_def_1011,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1012,type,
    powr_real2: fun_re7681423839302404990l_real ).

tff(func_def_1013,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1014,type,
    sin_real: fun_real_real ).

tff(func_def_1015,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1016,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1017,type,
    sinh_real: fun_real_real ).

tff(func_def_1018,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1019,type,
    tan_real: fun_real_real ).

tff(func_def_1020,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1021,type,
    tanh_real: fun_real_real ).

tff(func_def_1022,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1023,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1024,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1025,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1026,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1027,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1028,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1029,type,
    vEBT_V312737461966249ad_rel: fun_Pr1263128411319240110enat_o ).

tff(func_def_1030,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1031,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1032,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1033,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1034,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1035,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1036,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1037,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1038,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1039,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1040,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1041,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1042,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1043,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1044,type,
    vEBT_vebt_insert_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1045,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1046,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_o ).

tff(func_def_1047,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1048,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1049,type,
    vEBT_vebt_member_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1050,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1051,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_o ).

tff(func_def_1052,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_o ).

tff(func_def_1053,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1054,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1055,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1056,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1057,type,
    vEBT_vebt_maxt_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1058,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1059,type,
    vEBT_vebt_mint_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1060,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1061,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1062,type,
    vEBT_vebt_succ_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1063,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_1064,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1065,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1066,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_1067,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1068,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1069,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1070,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_1071,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1072,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1073,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1074,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1075,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1076,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1077,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1078,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1079,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1080,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1081,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1082,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1083,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1084,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1085,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1086,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1087,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1088,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1089,type,
    aa_Ext8748583412541189208omplex: ( fun_Ex3741802288643809319omplex * extended_enat ) > complex ).

tff(func_def_1090,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1091,type,
    aa_Extended_enat_nat: ( fun_Ex7660298398204468809at_nat * extended_enat ) > nat ).

tff(func_def_1092,type,
    aa_Extended_enat_rat: ( fun_Ex4152069839811072081at_rat * extended_enat ) > rat ).

tff(func_def_1093,type,
    aa_Ext2541572767299617110t_real: ( fun_Ex1451620480498224165t_real * extended_enat ) > real ).

tff(func_def_1094,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1095,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1096,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1097,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1098,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1099,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1100,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1101,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1102,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1103,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1104,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1105,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1106,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1107,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1108,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1109,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1110,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1111,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1112,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1113,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1114,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1115,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1116,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1117,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1118,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1119,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1120,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1121,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1122,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1123,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1124,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1125,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1126,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1127,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1128,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1129,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1130,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1131,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1132,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1133,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1134,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1135,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1136,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1137,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1138,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1139,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1140,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1141,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1142,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1143,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1144,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1145,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1146,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1147,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1148,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1149,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1150,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1151,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1152,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1153,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1154,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1155,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1156,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1157,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1158,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1159,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1160,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1161,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1162,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1163,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1164,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1165,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1166,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1167,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1168,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_1169,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1170,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1171,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1172,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1173,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1174,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1175,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1176,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1177,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1178,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1179,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1180,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1181,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1182,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1183,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1184,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1185,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1186,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1187,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1188,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1189,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1190,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1191,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1192,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1193,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1194,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1195,type,
    aa_set1742385355640705825plex_o: ( fun_se9162176452187397432plex_o * set_complex ) > fun_complex_o ).

tff(func_def_1196,type,
    aa_set3572156908926473983enat_o: ( fun_se6072594010446775118enat_o * set_Extended_enat ) > fun_Extended_enat_o ).

tff(func_def_1197,type,
    aa_set_int_fun_int_o: ( fun_se867122708194164540_int_o * set_int ) > fun_int_o ).

tff(func_def_1198,type,
    aa_set6675653781276780861_nat_o: ( fun_se1865396762483378772_nat_o * set_list_nat ) > fun_list_nat_o ).

tff(func_def_1199,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1200,type,
    aa_set_nat_fun_nat_o: ( fun_se382663106265794036_nat_o * set_nat ) > fun_nat_o ).

tff(func_def_1201,type,
    aa_set2323979645938365349real_o: ( fun_se2161501677553633980real_o * set_real ) > fun_real_o ).

tff(func_def_1202,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1203,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1204,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1205,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1206,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1207,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1208,type,
    aa_fun2545150047610057353_int_o: ( fun_fu4208408993564413984_int_o * fun_int_int ) > fun_fun_int_int_o ).

tff(func_def_1209,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1210,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1211,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1212,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1213,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1214,type,
    aa_fun2341495900663639033_nat_o: ( fun_fu9201817095025044880_nat_o * fun_nat_nat ) > fun_fun_nat_nat_o ).

tff(func_def_1215,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1216,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1217,type,
    aa_fun8455130352500885026real_o: ( fun_fu1771228864347509049real_o * fun_nat_rat ) > fun_real_o ).

tff(func_def_1218,type,
    aa_fun6961092367326905321_rat_o: ( fun_fu6714665071556184448_rat_o * fun_nat_rat ) > fun_fun_nat_rat_o ).

tff(func_def_1219,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1220,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1221,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1222,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1223,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1224,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1225,type,
    aa_fun7909102309695209382al_o_o: ( fun_fu7981297689148232565al_o_o * fun_fun_nat_rat_o ) > fun_fun_real_o_o ).

tff(func_def_1226,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1227,type,
    aa_fun1584707981518017559real_o: ( fun_fu6910828598506988974real_o * fun_fu8328862064278946247at_rat ) > fun_fun_real_real_o ).

tff(func_def_1228,type,
    aa_fun9037873928781546661_rat_o: ( fun_fu1950632212952468284_rat_o * fun_fu8328862064278946247at_rat ) > fun_fu4846507671440591850_rat_o ).

tff(func_def_1229,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1230,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_1231,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_1232,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_1233,type,
    fequal_num: fun_num_fun_num_o ).

tff(func_def_1234,type,
    fequal_real: fun_real_fun_real_o ).

tff(func_def_1235,type,
    deg: nat ).

tff(func_def_1236,type,
    m: nat ).

tff(func_def_1237,type,
    ma: nat ).

tff(func_def_1238,type,
    mi: nat ).

tff(func_def_1239,type,
    miny: nat ).

tff(func_def_1240,type,
    na: nat ).

tff(func_def_1241,type,
    res: nat ).

tff(func_def_1242,type,
    sc: nat ).

tff(func_def_1243,type,
    summary: vEBT_VEBT ).

tff(func_def_1244,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1245,type,
    xa: nat ).

tff(func_def_1246,type,
    za: nat ).

tff(func_def_1247,type,
    l0: nat ).

tff(func_def_1248,type,
    h1: nat ).

tff(func_def_1249,type,
    maxlow2: option_nat ).

tff(func_def_1250,type,
    sc23: option_nat ).

tff(func_def_1251,type,
    l4: nat ).

tff(func_def_1252,type,
    h5: nat ).

tff(func_def_1253,type,
    maxlow6: option_nat ).

tff(func_def_1254,type,
    sc27: option_nat ).

tff(func_def_1255,type,
    m28: complex ).

tff(func_def_1256,type,
    m29: real ).

tff(func_def_1257,type,
    m210: rat ).

tff(func_def_1258,type,
    m211: nat ).

tff(func_def_1259,type,
    m212: int ).

tff(func_def_1260,type,
    w13: complex ).

tff(func_def_1261,type,
    w14: real ).

tff(func_def_1262,type,
    w15: rat ).

tff(func_def_1263,type,
    w16: nat ).

tff(func_def_1264,type,
    w17: int ).

tff(func_def_1265,type,
    m218: complex ).

tff(func_def_1266,type,
    m219: real ).

tff(func_def_1267,type,
    m220: rat ).

tff(func_def_1268,type,
    m221: nat ).

tff(func_def_1269,type,
    m222: int ).

tff(func_def_1270,type,
    w23: complex ).

tff(func_def_1271,type,
    w24: real ).

tff(func_def_1272,type,
    w25: rat ).

tff(func_def_1273,type,
    w26: nat ).

tff(func_def_1274,type,
    w27: int ).

tff(func_def_1275,type,
    d28: int ).

tff(func_def_1276,type,
    l29: code_integer ).

tff(func_def_1277,type,
    l30: int ).

tff(func_def_1278,type,
    h31: nat ).

tff(func_def_1279,type,
    l32: nat ).

tff(func_def_1280,type,
    h33: nat ).

tff(func_def_1281,type,
    maxlow34: option_nat ).

tff(func_def_1282,type,
    sc235: option_nat ).

tff(func_def_1283,type,
    l36: real ).

tff(func_def_1284,type,
    l37: int ).

tff(func_def_1285,type,
    l38: complex ).

tff(func_def_1286,type,
    l39: code_integer ).

tff(func_def_1287,type,
    l40: rat ).

tff(func_def_1288,type,
    pos41: nat ).

tff(func_def_1289,type,
    pos42: nat ).

tff(func_def_1290,type,
    pos43: nat ).

tff(func_def_1291,type,
    pos44: nat ).

tff(func_def_1292,type,
    h45: nat ).

tff(func_def_1293,type,
    pos46: nat ).

tff(func_def_1294,type,
    pos47: nat ).

tff(func_def_1295,type,
    pos48: nat ).

tff(func_def_1296,type,
    pos49: nat ).

tff(func_def_1297,type,
    h50: nat ).

tff(func_def_1298,type,
    h51: nat ).

tff(func_def_1299,type,
    pos52: nat ).

tff(func_def_1300,type,
    l53: nat ).

tff(func_def_1301,type,
    h54: nat ).

tff(func_def_1302,type,
    maxlow55: option_nat ).

tff(func_def_1303,type,
    sc256: option_nat ).

tff(func_def_1304,type,
    pos57: nat ).

tff(func_def_1305,type,
    pos58: nat ).

tff(func_def_1306,type,
    pos59: nat ).

tff(func_def_1307,type,
    l60: nat ).

tff(func_def_1308,type,
    h61: nat ).

tff(func_def_1309,type,
    maxlow62: option_nat ).

tff(func_def_1310,type,
    sc263: option_nat ).

tff(func_def_1311,type,
    h64: nat ).

tff(func_def_1312,type,
    h65: nat ).

tff(func_def_1313,type,
    pos66: nat ).

tff(func_def_1314,type,
    pos67: nat ).

tff(func_def_1315,type,
    h68: nat ).

tff(func_def_1316,type,
    pos69: nat ).

tff(func_def_1317,type,
    pos70: nat ).

tff(func_def_1318,type,
    pos71: nat ).

tff(func_def_1319,type,
    pos72: nat ).

tff(func_def_1320,type,
    pos73: nat ).

tff(func_def_1321,type,
    pos74: nat ).

tff(func_def_1322,type,
    pos75: nat ).

tff(func_def_1323,type,
    half76: nat ).

tff(func_def_1324,type,
    half77: nat ).

tff(func_def_1325,type,
    half78: nat ).

tff(func_def_1326,type,
    half79: nat ).

tff(func_def_1327,type,
    xn80: nat ).

tff(func_def_1328,type,
    h81: nat ).

tff(func_def_1329,type,
    xn82: nat ).

tff(func_def_1330,type,
    h83: nat ).

tff(func_def_1331,type,
    xn84: nat ).

tff(func_def_1332,type,
    h85: nat ).

tff(func_def_1333,type,
    half86: nat ).

tff(func_def_1334,type,
    half87: nat ).

tff(func_def_1335,type,
    l88: code_integer ).

tff(func_def_1336,type,
    k89: code_integer ).

tff(func_def_1337,type,
    k90: code_integer ).

tff(func_def_1338,type,
    a91: int ).

tff(func_def_1339,type,
    a92: int ).

tff(func_def_1340,type,
    n93: nat ).

tff(func_def_1341,type,
    m294: nat ).

tff(func_def_1342,type,
    n95: nat ).

tff(func_def_1343,type,
    m296: nat ).

tff(func_def_1344,type,
    n97: nat ).

tff(func_def_1345,type,
    m298: nat ).

tff(func_def_1346,type,
    n99: nat ).

tff(func_def_1347,type,
    m2100: nat ).

tff(func_def_1348,type,
    n101: nat ).

tff(func_def_1349,type,
    m2102: nat ).

tff(func_def_1350,type,
    n103: nat ).

tff(func_def_1351,type,
    m2104: nat ).

tff(func_def_1352,type,
    n105: nat ).

tff(func_def_1353,type,
    m2106: nat ).

tff(func_def_1354,type,
    l2107: int ).

tff(func_def_1355,type,
    l2108: num ).

tff(func_def_1356,type,
    l3109: num ).

tff(func_def_1357,type,
    l2110: nat ).

tff(func_def_1358,type,
    l3111: nat ).

tff(func_def_1359,type,
    iG112: ( nat * nat ) > nat ).

tff(func_def_1360,type,
    iG113: ( nat * nat * nat ) > nat ).

tff(func_def_1361,type,
    iG114: ( nat * nat * nat ) > nat ).

tff(func_def_1362,type,
    iG115: ( int * int * int ) > int ).

tff(func_def_1363,type,
    iG116: ( complex * complex * complex ) > complex ).

tff(func_def_1364,type,
    iG117: ( real * real * real ) > real ).

tff(func_def_1365,type,
    iG118: ( rat * rat * rat ) > rat ).

tff(func_def_1366,type,
    iG119: complex > complex ).

tff(func_def_1367,type,
    iG120: real > real ).

tff(func_def_1368,type,
    iG121: rat > rat ).

tff(func_def_1369,type,
    iG128: ( int * int ) > int ).

tff(func_def_1370,type,
    iG129: nat > rat ).

tff(func_def_1371,type,
    iG130: nat > nat ).

tff(func_def_1372,type,
    iG131: nat > real ).

tff(func_def_1373,type,
    iG132: nat > int ).

tff(func_def_1374,type,
    iG133: nat > complex ).

tff(func_def_1375,type,
    iG140: ( nat * nat ) > nat ).

tff(func_def_1376,type,
    iG141: nat > nat ).

tff(func_def_1377,type,
    iG142: int > int ).

tff(func_def_1378,type,
    iG143: code_integer > code_integer ).

tff(func_def_1379,type,
    iG158: ( complex * complex * complex ) > complex ).

tff(func_def_1380,type,
    iG159: ( real * real * real ) > real ).

tff(func_def_1381,type,
    iG160: ( rat * rat * rat ) > rat ).

tff(func_def_1382,type,
    iG161: ( complex * complex * complex ) > complex ).

tff(func_def_1383,type,
    iG162: ( real * real * real ) > real ).

tff(func_def_1384,type,
    iG163: ( rat * rat * rat ) > rat ).

tff(func_def_1385,type,
    iG164: ( complex * complex * complex ) > complex ).

tff(func_def_1386,type,
    iG165: ( real * real * real ) > real ).

tff(func_def_1387,type,
    iG166: ( rat * rat * rat ) > rat ).

tff(func_def_1388,type,
    iG183: ( nat * nat ) > nat ).

tff(func_def_1389,type,
    iG184: ( nat * nat ) > nat ).

tff(func_def_1390,type,
    iG185: ( nat * nat ) > nat ).

tff(func_def_1391,type,
    iG194: ( nat * nat * nat ) > nat ).

tff(func_def_1392,type,
    iG195: ( nat * nat * int ) > int ).

tff(func_def_1393,type,
    iG196: ( nat * complex ) > complex ).

tff(func_def_1394,type,
    iG197: ( nat * real ) > real ).

tff(func_def_1395,type,
    iG198: ( nat * rat ) > rat ).

tff(func_def_1396,type,
    iG199: ( nat * nat ) > nat ).

tff(func_def_1397,type,
    iG200: ( nat * int ) > int ).

tff(func_def_1398,type,
    iG201: ( nat * nat ) > nat ).

tff(func_def_1399,type,
    iG202: ( nat * code_integer ) > code_integer ).

tff(func_def_1400,type,
    iG203: ( nat * int ) > int ).

tff(func_def_1401,type,
    iG216: ( int * int ) > int ).

tff(func_def_1402,type,
    iG217: ( int * int ) > int ).

tff(func_def_1403,type,
    iG232: ( real * real * real ) > real ).

tff(func_def_1404,type,
    iG233: ( complex * complex * complex ) > complex ).

tff(func_def_1405,type,
    iG234: ( rat * rat * rat ) > rat ).

tff(func_def_1406,type,
    iG235: ( real * real * real ) > real ).

tff(func_def_1407,type,
    iG236: ( complex * complex * complex ) > complex ).

tff(func_def_1408,type,
    iG237: ( rat * rat * rat ) > rat ).

tff(func_def_1409,type,
    iG238: ( real * real * real ) > real ).

tff(func_def_1410,type,
    iG239: ( complex * complex * complex ) > complex ).

tff(func_def_1411,type,
    iG240: ( rat * rat * rat ) > rat ).

tff(func_def_1412,type,
    iG257: ( nat * real ) > real ).

tff(func_def_1413,type,
    iG258: ( nat * int ) > int ).

tff(func_def_1414,type,
    iG259: ( nat * complex ) > complex ).

tff(func_def_1415,type,
    iG260: ( nat * code_integer ) > code_integer ).

tff(func_def_1416,type,
    iG261: ( nat * rat ) > rat ).

tff(func_def_1417,type,
    iG262: ( int * int ) > int ).

tff(func_def_1418,type,
    iG263: ( int * int ) > int ).

tff(func_def_1419,type,
    iG272: nat > real ).

tff(func_def_1420,type,
    iG273: nat > int ).

tff(func_def_1421,type,
    iG274: nat > complex ).

tff(func_def_1422,type,
    iG275: nat > code_integer ).

tff(func_def_1423,type,
    iG276: nat > rat ).

tff(func_def_1424,type,
    bG277: code_integer > $o ).

tff(func_def_1427,type,
    bG278: int > $o ).

tff(func_def_1428,type,
    bG279: nat > $o ).

tff(func_def_1429,type,
    bG280: $o > $o ).

tff(func_def_1430,type,
    bG281: $o > $o ).

tff(func_def_1431,type,
    bG282: $o > $o ).

tff(func_def_1432,type,
    bG283: $o > $o ).

tff(func_def_1433,type,
    bG284: $o > $o ).

tff(func_def_1434,type,
    bG285: $o > $o ).

tff(func_def_1435,type,
    bG286: $o > $o ).

tff(func_def_1436,type,
    bG287: $o > $o ).

tff(func_def_1437,type,
    bG288: $o > $o ).

tff(func_def_1438,type,
    bG289: $o > $o ).

tff(func_def_1439,type,
    bG290: $o > $o ).

tff(func_def_1440,type,
    bG291: $o > $o ).

tff(func_def_1441,type,
    bG292: $o > $o ).

tff(func_def_1442,type,
    bG293: $o > $o ).

tff(func_def_1443,type,
    bG294: $o > $o ).

tff(func_def_1444,type,
    bG295: $o > $o ).

tff(func_def_1445,type,
    bG296: $o > $o ).

tff(func_def_1446,type,
    bG297: $o > $o ).

tff(func_def_1447,type,
    bG298: $o > $o ).

tff(func_def_1448,type,
    bG299: $o > $o ).

tff(func_def_1449,type,
    bG300: $o > $o ).

tff(func_def_1450,type,
    bG301: $o > $o ).

tff(func_def_1451,type,
    bG302: $o > $o ).

tff(func_def_1452,type,
    bG303: $o > $o ).

tff(func_def_1453,type,
    bG304: $o > $o ).

tff(func_def_1454,type,
    bG305: $o > $o ).

tff(func_def_1455,type,
    bG306: $o > $o ).

tff(func_def_1456,type,
    bG307: $o > $o ).

tff(func_def_1457,type,
    bG308: $o > $o ).

tff(func_def_1458,type,
    bG309: $o > $o ).

tff(func_def_1459,type,
    bG310: $o > $o ).

tff(func_def_1460,type,
    bG311: $o > $o ).

tff(func_def_1461,type,
    bG312: $o > $o ).

tff(func_def_1462,type,
    bG313: $o > $o ).

tff(func_def_1463,type,
    bG314: $o > $o ).

tff(func_def_1464,type,
    bG315: $o > $o ).

tff(func_def_1465,type,
    bG316: $o > $o ).

tff(func_def_1466,type,
    bG317: $o > $o ).

tff(func_def_1467,type,
    bG318: $o > $o ).

tff(func_def_1468,type,
    bG319: $o > $o ).

tff(func_def_1469,type,
    bG320: $o > $o ).

tff(func_def_1470,type,
    bG321: $o > $o ).

tff(func_def_1471,type,
    bG322: $o > $o ).

tff(func_def_1472,type,
    bG323: $o > $o ).

tff(func_def_1473,type,
    bG324: $o > $o ).

tff(func_def_1474,type,
    bG325: $o > $o ).

tff(func_def_1475,type,
    bG326: $o > $o ).

tff(func_def_1476,type,
    bG327: $o > $o ).

tff(func_def_1477,type,
    bG328: $o > $o ).

tff(func_def_1478,type,
    bG329: nat > $o ).

tff(func_def_1479,type,
    bG330: $o > $o ).

tff(func_def_1480,type,
    bG331: $o > $o ).

tff(func_def_1481,type,
    bG332: $o > $o ).

tff(func_def_1482,type,
    bG333: $o > $o ).

tff(func_def_1483,type,
    bG334: $o > $o ).

tff(func_def_1484,type,
    bG335: $o > $o ).

tff(func_def_1485,type,
    bG336: nat > $o ).

tff(func_def_1486,type,
    bG337: nat > $o ).

tff(func_def_1487,type,
    bG338: nat > $o ).

tff(func_def_1488,type,
    bG339: nat > $o ).

tff(func_def_1489,type,
    bG340: nat > $o ).

tff(func_def_1490,type,
    bG341: nat > $o ).

tff(func_def_1491,type,
    bG342: nat > $o ).

tff(func_def_1492,type,
    bG343: nat > $o ).

tff(func_def_1493,type,
    bG344: nat > $o ).

tff(func_def_1494,type,
    bG345: $o > $o ).

tff(func_def_1495,type,
    bG346: $o > $o ).

tff(func_def_1496,type,
    bG347: $o > $o ).

tff(func_def_1497,type,
    bG348: $o > $o ).

tff(func_def_1498,type,
    bG349: $o > $o ).

tff(func_def_1499,type,
    bG350: $o > $o ).

tff(func_def_1500,type,
    bG351: ( $o * $o ) > $o ).

tff(func_def_1501,type,
    bG352: $o > $o ).

tff(func_def_1502,type,
    bG353: $o > $o ).

tff(func_def_1503,type,
    bG354: ( $o * $o ) > $o ).

tff(func_def_1504,type,
    bG355: $o > $o ).

tff(func_def_1505,type,
    bG356: $o > $o ).

tff(func_def_1506,type,
    bG357: ( $o * $o ) > $o ).

tff(func_def_1507,type,
    bG358: $o > $o ).

tff(func_def_1508,type,
    bG359: $o > $o ).

tff(func_def_1509,type,
    bG360: ( $o * $o ) > $o ).

tff(func_def_1510,type,
    bG361: $o > $o ).

tff(func_def_1511,type,
    bG362: $o > $o ).

tff(func_def_1512,type,
    bG363: ( $o * $o ) > $o ).

tff(func_def_1513,type,
    bG364: $o > $o ).

tff(func_def_1514,type,
    bG365: $o > $o ).

tff(func_def_1515,type,
    bG366: $o > $o ).

tff(func_def_1516,type,
    bG367: $o > $o ).

tff(func_def_1517,type,
    bG368: $o > $o ).

tff(func_def_1518,type,
    bG369: $o > $o ).

tff(func_def_1519,type,
    bG370: $o > $o ).

tff(func_def_1520,type,
    bG371: $o > $o ).

tff(func_def_1521,type,
    bG372: $o > $o ).

tff(func_def_1522,type,
    bG373: $o > $o ).

tff(func_def_1523,type,
    bG374: $o > $o ).

tff(func_def_1524,type,
    bG375: $o > $o ).

tff(func_def_1525,type,
    bG376: $o > $o ).

tff(func_def_1526,type,
    bG377: $o > $o ).

tff(func_def_1527,type,
    bG378: $o > $o ).

tff(func_def_1528,type,
    bG379: $o > $o ).

tff(func_def_1529,type,
    bG380: $o > $o ).

tff(func_def_1530,type,
    bG381: $o > $o ).

tff(func_def_1531,type,
    bG382: $o > $o ).

tff(func_def_1532,type,
    bG383: $o > $o ).

tff(func_def_1533,type,
    bG384: $o > $o ).

tff(func_def_1534,type,
    bG385: $o > $o ).

tff(func_def_1535,type,
    bG386: $o > $o ).

tff(func_def_1536,type,
    bG387: $o > $o ).

tff(func_def_1537,type,
    bG388: $o > $o ).

tff(func_def_1538,type,
    iG389: $o > complex ).

tff(func_def_1539,type,
    bG390: $o > $o ).

tff(func_def_1540,type,
    iG391: $o > real ).

tff(func_def_1541,type,
    bG392: $o > $o ).

tff(func_def_1542,type,
    iG393: $o > rat ).

tff(func_def_1543,type,
    bG394: $o > $o ).

tff(func_def_1544,type,
    iG395: $o > nat ).

tff(func_def_1545,type,
    bG396: $o > $o ).

tff(func_def_1546,type,
    iG397: $o > int ).

tff(func_def_1547,type,
    bG398: $o > $o ).

tff(func_def_1548,type,
    iG399: $o > code_integer ).

tff(func_def_1549,type,
    bG400: nat > $o ).

tff(func_def_1550,type,
    bG401: int > $o ).

tff(func_def_1551,type,
    bG402: code_integer > $o ).

tff(func_def_1552,type,
    bG403: $o > $o ).

tff(func_def_1553,type,
    bG404: $o > $o ).

tff(func_def_1554,type,
    bG405: $o > $o ).

tff(func_def_1555,type,
    bG406: $o > $o ).

tff(func_def_1556,type,
    bG407: $o > $o ).

tff(func_def_1557,type,
    bG408: $o > $o ).

tff(func_def_1558,type,
    bG409: ( nat * nat ) > $o ).

tff(func_def_1559,type,
    bG410: ( nat * nat ) > $o ).

tff(func_def_1560,type,
    bG411: ( nat * nat ) > $o ).

tff(func_def_1561,type,
    bG412: ( nat * nat ) > $o ).

tff(func_def_1562,type,
    bG413: ( nat * nat ) > $o ).

tff(func_def_1563,type,
    bG414: ( nat * nat ) > $o ).

tff(func_def_1564,type,
    iG415: ( nat * code_integer ) > code_integer ).

tff(func_def_1565,type,
    iG416: ( nat * int ) > int ).

tff(func_def_1566,type,
    iG417: ( nat * nat ) > nat ).

tff(func_def_1567,type,
    iG418: ( int * int ) > int ).

tff(func_def_1568,type,
    iG419: ( int * int ) > int ).

tff(func_def_1569,type,
    iG420: ( int * int ) > int ).

tff(func_def_1570,type,
    bG421: nat > $o ).

tff(func_def_1571,type,
    bG422: nat > $o ).

tff(func_def_1572,type,
    bG423: nat > $o ).

tff(func_def_1573,type,
    bG424: nat > $o ).

tff(func_def_1574,type,
    bG425: ( nat * nat ) > $o ).

tff(func_def_1575,type,
    bG426: ( nat * nat ) > $o ).

tff(func_def_1576,type,
    bG427: ( nat * nat ) > $o ).

tff(func_def_1577,type,
    bG428: nat > $o ).

tff(func_def_1578,type,
    bG429: nat > $o ).

tff(func_def_1579,type,
    bG430: nat > $o ).

tff(func_def_1580,type,
    iG431: ( nat * nat ) > fun_int_int ).

tff(func_def_1581,type,
    iG432: ( nat * nat * int ) > int ).

tff(func_def_1582,type,
    iG433: ( nat * nat * nat ) > nat ).

tff(func_def_1583,type,
    iG434: ( nat * nat * int ) > int ).

tff(func_def_1584,type,
    iG435: ( nat * nat * nat ) > nat ).

tff(func_def_1585,type,
    iG436: ( nat * nat * int ) > int ).

tff(func_def_1586,type,
    iG437: ( nat * nat * nat ) > nat ).

tff(func_def_1587,type,
    bG438: ( int * int ) > $o ).

tff(func_def_1588,type,
    iG439: ( code_integer * nat ) > code_integer ).

tff(func_def_1589,type,
    iG440: ( int * nat ) > int ).

tff(func_def_1590,type,
    iG441: ( nat * nat ) > nat ).

tff(func_def_1591,type,
    iG442: ( nat * nat ) > nat ).

tff(func_def_1592,type,
    bG443: ( nat * nat ) > $o ).

tff(func_def_1593,type,
    bG444: $o > $o ).

tff(func_def_1594,type,
    bG445: $o > $o ).

tff(func_def_1595,type,
    bG446: $o > $o ).

tff(func_def_1596,type,
    bG447: $o > $o ).

tff(func_def_1597,type,
    bG448: $o > $o ).

tff(func_def_1598,type,
    bG449: $o > $o ).

tff(func_def_1599,type,
    bG450: $o > $o ).

tff(func_def_1600,type,
    bG451: $o > $o ).

tff(func_def_1601,type,
    iG452: real > real ).

tff(func_def_1602,type,
    iG453: int > int ).

tff(func_def_1603,type,
    iG454: code_integer > code_integer ).

tff(func_def_1604,type,
    iG455: rat > rat ).

tff(func_def_1605,type,
    iG456: real > real ).

tff(func_def_1606,type,
    iG457: int > int ).

tff(func_def_1607,type,
    iG458: code_integer > code_integer ).

tff(func_def_1608,type,
    iG459: rat > rat ).

tff(func_def_1609,type,
    iG460: real > real ).

tff(func_def_1610,type,
    bG461: ( nat * int ) > $o ).

tff(func_def_1611,type,
    bG462: $o > $o ).

tff(func_def_1612,type,
    bG463: $o > $o ).

tff(func_def_1613,type,
    bG464: $o > $o ).

tff(func_def_1614,type,
    bG465: $o > $o ).

tff(func_def_1615,type,
    bG466: $o > $o ).

tff(func_def_1616,type,
    bG467: $o > $o ).

tff(func_def_1617,type,
    bG468: $o > $o ).

tff(func_def_1618,type,
    bG469: $o > $o ).

tff(func_def_1619,type,
    bG470: $o > $o ).

tff(func_def_1620,type,
    bG471: $o > $o ).

tff(func_def_1621,type,
    bG472: $o > $o ).

tff(func_def_1622,type,
    bG473: $o > $o ).

tff(func_def_1623,type,
    bG474: $o > $o ).

tff(func_def_1624,type,
    bG475: $o > $o ).

tff(func_def_1625,type,
    bG476: $o > $o ).

tff(func_def_1626,type,
    iG477: int > int ).

tff(func_def_1627,type,
    iG478: ( nat * int ) > fun_nat_fun_int_int ).

tff(func_def_1628,type,
    iG479: ( nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1629,type,
    bG480: ( nat * int ) > $o ).

tff(func_def_1630,type,
    bG487: ( nat * int ) > $o ).

tff(func_def_1631,type,
    bG488: ( nat * int ) > $o ).

tff(func_def_1632,type,
    bG489: ( nat * int ) > $o ).

tff(func_def_1633,type,
    iG490: ( $o * nat * nat ) > nat ).

tff(func_def_1634,type,
    iG491: ( $o * nat * nat ) > int ).

tff(func_def_1635,type,
    iG492: real > int ).

tff(func_def_1636,type,
    iG493: rat > int ).

tff(func_def_1637,type,
    iG494: nat > complex ).

tff(func_def_1638,type,
    iG495: nat > real ).

tff(func_def_1639,type,
    iG496: nat > rat ).

tff(func_def_1640,type,
    iG497: nat > nat ).

tff(func_def_1641,type,
    iG498: nat > int ).

tff(func_def_1642,type,
    iG499: ( nat * nat ) > int ).

tff(func_def_1643,type,
    iG500: real > int ).

tff(func_def_1644,type,
    iG501: rat > int ).

tff(func_def_1645,type,
    iG502: real > real ).

tff(func_def_1646,type,
    iG503: int > real ).

tff(func_def_1647,type,
    iG504: ( real * real ) > real ).

tff(func_def_1648,type,
    iG505: ( rat * rat ) > rat ).

tff(func_def_1649,type,
    iG506: ( real * real ) > real ).

tff(func_def_1650,type,
    iG507: ( real * real ) > int ).

tff(func_def_1651,type,
    iG508: ( rat * rat ) > int ).

tff(func_def_1652,type,
    bG509: ( nat * nat ) > $o ).

tff(func_def_1653,type,
    iG510: ( int * int * nat * nat ) > int ).

tff(func_def_1654,type,
    iG511: ( int * int * nat * nat ) > int ).

tff(func_def_1655,type,
    bG512: real > $o ).

tff(func_def_1656,type,
    bG513: rat > $o ).

tff(func_def_1657,type,
    bG514: int > $o ).

tff(func_def_1658,type,
    bG515: code_integer > $o ).

tff(func_def_1659,type,
    bG516: complex > $o ).

tff(func_def_1660,type,
    bG517: real > $o ).

tff(func_def_1661,type,
    bG518: rat > $o ).

tff(func_def_1662,type,
    bG519: int > $o ).

tff(func_def_1663,type,
    bG520: code_integer > $o ).

tff(func_def_1664,type,
    bG521: complex > $o ).

tff(func_def_1665,type,
    bG522: real > $o ).

tff(func_def_1666,type,
    bG523: rat > $o ).

tff(func_def_1667,type,
    bG524: int > $o ).

tff(func_def_1668,type,
    bG525: code_integer > $o ).

tff(func_def_1669,type,
    bG526: nat > $o ).

tff(func_def_1670,type,
    bG527: nat > $o ).

tff(func_def_1671,type,
    bG528: nat > $o ).

tff(func_def_1672,type,
    bG529: nat > $o ).

tff(func_def_1673,type,
    iG530: code_integer > code_integer ).

tff(func_def_1674,type,
    iG531: real > real ).

tff(func_def_1675,type,
    iG532: rat > rat ).

tff(func_def_1676,type,
    iG533: int > int ).

tff(func_def_1677,type,
    iG534: real > real ).

tff(func_def_1678,type,
    iG535: real > real ).

tff(func_def_1679,type,
    iG536: int > int ).

tff(func_def_1680,type,
    iG537: int > int ).

tff(func_def_1681,type,
    iG538: code_integer > code_integer ).

tff(func_def_1682,type,
    iG539: code_integer > code_integer ).

tff(func_def_1683,type,
    iG540: rat > rat ).

tff(func_def_1684,type,
    iG541: rat > rat ).

tff(func_def_1685,type,
    iG542: int > int ).

tff(func_def_1686,type,
    iG543: int > int ).

tff(func_def_1687,type,
    iG544: real > real ).

tff(func_def_1688,type,
    iG545: complex > real ).

tff(func_def_1689,type,
    iG546: nat > complex ).

tff(func_def_1690,type,
    iG547: nat > rat ).

tff(func_def_1691,type,
    iG548: nat > int ).

tff(func_def_1692,type,
    iG549: nat > nat ).

tff(func_def_1693,type,
    iG550: nat > real ).

tff(func_def_1694,type,
    bG551: ( int * int ) > $o ).

tff(func_def_1695,type,
    bG552: ( nat * nat ) > $o ).

tff(func_def_1696,type,
    iG553: ( int * int * nat * nat ) > int ).

tff(func_def_1697,type,
    iG554: ( int * int * nat * nat ) > int ).

tff(func_def_1698,type,
    iG555: nat > real ).

tff(func_def_1699,type,
    iG556: ( nat * nat ) > nat ).

tff(func_def_1700,type,
    iG557: ( nat * nat ) > nat ).

tff(func_def_1701,type,
    iG558: nat > real ).

tff(func_def_1702,type,
    iG559: real > real ).

tff(func_def_1703,type,
    iG560: real > real ).

tff(func_def_1704,type,
    iG561: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1705,type,
    iG562: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1706,type,
    bG563: ( int * int ) > $o ).

tff(func_def_1707,type,
    iG564: ( int * int ) > int ).

tff(func_def_1708,type,
    iG565: ( int * int ) > int ).

tff(func_def_1709,type,
    iG566: ( nat * nat ) > nat ).

tff(func_def_1710,type,
    iG567: int > code_integer ).

tff(func_def_1711,type,
    iG568: int > complex ).

tff(func_def_1712,type,
    iG569: int > real ).

tff(func_def_1713,type,
    iG570: int > rat ).

tff(func_def_1714,type,
    iG571: int > int ).

tff(func_def_1715,type,
    iG572: ( int * real ) > real ).

tff(func_def_1716,type,
    bG573: ( int * int ) > $o ).

tff(func_def_1717,type,
    iG574: ( int * int ) > int ).

tff(func_def_1718,type,
    iG575: ( int * int ) > int ).

tff(func_def_1719,type,
    iG576: ( int * real ) > real ).

tff(func_def_1720,type,
    bG577: nat > $o ).

tff(func_def_1721,type,
    bG578: nat > $o ).

tff(func_def_1722,type,
    bG579: nat > $o ).

tff(func_def_1723,type,
    bG580: nat > $o ).

tff(func_def_1724,type,
    iG581: real > real ).

tff(func_def_1725,type,
    iG582: rat > rat ).

tff(func_def_1726,type,
    iG583: ( nat * nat ) > nat ).

tff(func_def_1727,type,
    iG584: ( nat * nat ) > nat ).

tff(func_def_1728,type,
    bG585: ( nat * nat ) > $o ).

tff(func_def_1729,type,
    bG586: code_integer > $o ).

tff(func_def_1730,type,
    bG587: code_integer > $o ).

tff(func_def_1731,type,
    bG588: nat > $o ).

tff(func_def_1732,type,
    bG589: nat > $o ).

tff(func_def_1733,type,
    bG590: int > $o ).

tff(func_def_1734,type,
    bG591: int > $o ).

tff(func_def_1735,type,
    bG592: code_integer > $o ).

tff(func_def_1736,type,
    bG593: code_integer > $o ).

tff(func_def_1737,type,
    bG594: nat > $o ).

tff(func_def_1738,type,
    bG595: nat > $o ).

tff(func_def_1739,type,
    bG596: int > $o ).

tff(func_def_1740,type,
    bG597: int > $o ).

tff(func_def_1741,type,
    bG598: ( int * int ) > $o ).

tff(func_def_1742,type,
    iG599: ( int * int ) > int ).

tff(func_def_1743,type,
    iG600: ( int * int ) > int ).

tff(func_def_1744,type,
    iG601: ( int * int ) > int ).

tff(func_def_1745,type,
    iG602: ( int * int ) > int ).

tff(func_def_1746,type,
    bG603: int > $o ).

tff(func_def_1747,type,
    bG604: ( nat * list_o ) > $o ).

tff(func_def_1748,type,
    bG605: $o > $o ).

tff(func_def_1749,type,
    bG606: ( nat * list_o ) > $o ).

tff(func_def_1750,type,
    bG607: $o > $o ).

tff(func_def_1751,type,
    bG608: $o > $o ).

tff(func_def_1752,type,
    bG609: $o > $o ).

tff(func_def_1753,type,
    bG610: ( nat * list_o ) > $o ).

tff(func_def_1754,type,
    bG611: ( nat * list_o ) > $o ).

tff(func_def_1755,type,
    bG612: $o > $o ).

tff(func_def_1756,type,
    bG613: $o > $o ).

tff(func_def_1757,type,
    bG614: $o > $o ).

tff(func_def_1758,type,
    bG615: $o > $o ).

tff(func_def_1759,type,
    bG616: $o > $o ).

tff(func_def_1760,type,
    bG617: ( nat * list_o ) > $o ).

tff(func_def_1761,type,
    bG618: ( nat * list_o ) > $o ).

tff(func_def_1762,type,
    bG619: $o > $o ).

tff(func_def_1763,type,
    bG620: $o > $o ).

tff(func_def_1764,type,
    iG621: option_nat ).

tff(func_def_1765,type,
    iG622: option_nat ).

tff(func_def_1766,type,
    iG623: option_nat ).

tff(func_def_1767,type,
    iG624: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1768,type,
    iG625: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1769,type,
    iG626: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1770,type,
    lG627: ( nat * nat ) > nat ).

tff(func_def_1771,type,
    lG628: ( nat * nat ) > nat ).

tff(func_def_1772,type,
    lG629: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1773,type,
    lG630: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1774,type,
    iG631: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1775,type,
    iG632: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1776,type,
    lG633: ( nat * nat ) > nat ).

tff(func_def_1777,type,
    lG634: ( nat * nat ) > nat ).

tff(func_def_1778,type,
    lG635: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1779,type,
    lG636: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1780,type,
    iG637: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1781,type,
    iG638: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1782,type,
    iG639: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1783,type,
    lG640: num > complex ).

tff(func_def_1784,type,
    lG641: num > real ).

tff(func_def_1785,type,
    lG642: num > rat ).

tff(func_def_1786,type,
    lG643: num > nat ).

tff(func_def_1787,type,
    lG644: num > int ).

tff(func_def_1788,type,
    lG645: ( complex * num ) > complex ).

tff(func_def_1789,type,
    lG646: ( real * num ) > real ).

tff(func_def_1790,type,
    lG647: ( rat * num ) > rat ).

tff(func_def_1791,type,
    lG648: ( nat * num ) > nat ).

tff(func_def_1792,type,
    lG649: ( int * num ) > int ).

tff(func_def_1793,type,
    lG650: num > complex ).

tff(func_def_1794,type,
    lG651: num > real ).

tff(func_def_1795,type,
    lG652: num > rat ).

tff(func_def_1796,type,
    lG653: num > nat ).

tff(func_def_1797,type,
    lG654: num > int ).

tff(func_def_1798,type,
    lG655: ( complex * num ) > complex ).

tff(func_def_1799,type,
    lG656: ( real * num ) > real ).

tff(func_def_1800,type,
    lG657: ( rat * num ) > rat ).

tff(func_def_1801,type,
    lG658: ( nat * num ) > nat ).

tff(func_def_1802,type,
    lG659: ( int * num ) > int ).

tff(func_def_1803,type,
    lG660: ( int * int ) > int ).

tff(func_def_1804,type,
    iG661: ( int * int ) > nat ).

tff(func_def_1805,type,
    iG662: ( int * int ) > nat ).

tff(func_def_1806,type,
    lG663: ( nat * code_integer ) > code_integer ).

tff(func_def_1807,type,
    iG664: ( nat * code_integer ) > code_integer ).

tff(func_def_1808,type,
    lG665: ( nat * int ) > int ).

tff(func_def_1809,type,
    iG666: ( nat * int ) > int ).

tff(func_def_1810,type,
    iG667: ( nat * complex ) > complex ).

tff(func_def_1811,type,
    iG668: ( nat * real ) > real ).

tff(func_def_1812,type,
    iG669: ( nat * rat ) > rat ).

tff(func_def_1813,type,
    iG670: ( nat * int ) > int ).

tff(func_def_1814,type,
    iG671: ( nat * nat ) > nat ).

tff(func_def_1815,type,
    iG672: ( nat * complex ) > complex ).

tff(func_def_1816,type,
    iG673: ( nat * rat ) > rat ).

tff(func_def_1817,type,
    iG674: ( nat * real ) > real ).

tff(func_def_1818,type,
    lG675: ( nat * nat ) > nat ).

tff(func_def_1819,type,
    lG681: ( nat * nat ) > nat ).

tff(func_def_1820,type,
    lG682: ( nat * nat ) > nat ).

tff(func_def_1821,type,
    lG683: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1822,type,
    lG684: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1823,type,
    iG685: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1824,type,
    iG686: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1825,type,
    iG687: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1826,type,
    iG688: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1827,type,
    lG689: int > real ).

tff(func_def_1828,type,
    iG690: int > real ).

tff(func_def_1829,type,
    iG691: int > real ).

tff(func_def_1830,type,
    iG692: int > real ).

tff(func_def_1831,type,
    lG693: int > int ).

tff(func_def_1832,type,
    iG694: int > int ).

tff(func_def_1833,type,
    iG695: int > int ).

tff(func_def_1834,type,
    iG696: int > int ).

tff(func_def_1835,type,
    lG697: int > complex ).

tff(func_def_1836,type,
    iG698: int > complex ).

tff(func_def_1837,type,
    iG699: int > complex ).

tff(func_def_1838,type,
    iG700: int > complex ).

tff(func_def_1839,type,
    lG701: int > code_integer ).

tff(func_def_1840,type,
    iG702: int > code_integer ).

tff(func_def_1841,type,
    iG703: int > code_integer ).

tff(func_def_1842,type,
    iG704: int > code_integer ).

tff(func_def_1843,type,
    lG705: int > rat ).

tff(func_def_1844,type,
    iG706: int > rat ).

tff(func_def_1845,type,
    iG707: int > rat ).

tff(func_def_1846,type,
    iG708: int > rat ).

tff(func_def_1847,type,
    lG709: ( nat * nat ) > nat ).

tff(func_def_1848,type,
    lG711: ( nat * nat ) > nat ).

tff(func_def_1849,type,
    lG713: ( nat * nat ) > nat ).

tff(func_def_1850,type,
    lG715: ( nat * nat ) > nat ).

tff(func_def_1851,type,
    lG717: ( nat * nat ) > nat ).

tff(func_def_1852,type,
    bG725: $o > $o ).

tff(func_def_1853,type,
    bG726: $o > $o ).

tff(func_def_1854,type,
    bG727: $o > $o ).

tff(func_def_1855,type,
    bG728: $o > $o ).

tff(func_def_1856,type,
    bG729: $o > $o ).

tff(func_def_1857,type,
    bG730: $o > $o ).

tff(func_def_1858,type,
    bG731: $o > $o ).

tff(func_def_1859,type,
    bG732: $o > $o ).

tff(func_def_1860,type,
    bG733: $o > $o ).

tff(func_def_1861,type,
    bG734: $o > $o ).

tff(func_def_1862,type,
    iG735: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_1863,type,
    iG736: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_1864,type,
    iG737: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_1865,type,
    iG738: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_1866,type,
    iG739: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_1867,type,
    bG740: $o > $o ).

tff(func_def_1868,type,
    bG741: $o > $o ).

tff(func_def_1869,type,
    bG742: $o > $o ).

tff(func_def_1870,type,
    bG743: $o > $o ).

tff(func_def_1871,type,
    bG744: $o > $o ).

tff(func_def_1872,type,
    bG745: $o > $o ).

tff(func_def_1873,type,
    bG746: $o > $o ).

tff(func_def_1874,type,
    bG747: $o > $o ).

tff(func_def_1875,type,
    iG748: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1876,type,
    iG749: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1877,type,
    bG750: $o > $o ).

tff(func_def_1878,type,
    bG751: $o > $o ).

tff(func_def_1879,type,
    bG752: $o > $o ).

tff(func_def_1880,type,
    bG753: $o > $o ).

tff(func_def_1881,type,
    bG754: $o > $o ).

tff(func_def_1882,type,
    bG755: $o > $o ).

tff(func_def_1883,type,
    bG756: $o > $o ).

tff(func_def_1884,type,
    bG757: $o > $o ).

tff(func_def_1885,type,
    bG758: $o > $o ).

tff(func_def_1886,type,
    bG759: $o > $o ).

tff(func_def_1887,type,
    bG760: $o > $o ).

tff(func_def_1888,type,
    bG761: $o > $o ).

tff(func_def_1889,type,
    bG764: $o > $o ).

tff(func_def_1890,type,
    bG765: $o > $o ).

tff(func_def_1891,type,
    bG766: $o > $o ).

tff(func_def_1892,type,
    bG767: $o > $o ).

tff(func_def_1893,type,
    bG770: $o > $o ).

tff(func_def_1894,type,
    bG771: $o > $o ).

tff(func_def_1895,type,
    bG772: $o > $o ).

tff(func_def_1896,type,
    bG773: $o > $o ).

tff(func_def_1897,type,
    iG774: $o > option_nat ).

tff(func_def_1898,type,
    lG775: ( nat * nat ) > nat ).

tff(func_def_1899,type,
    lG777: ( nat * nat ) > nat ).

tff(func_def_1900,type,
    bG779: $o > $o ).

tff(func_def_1901,type,
    bG780: $o > $o ).

tff(func_def_1902,type,
    lG781: ( nat * nat ) > nat ).

tff(func_def_1903,type,
    lG783: ( nat * nat ) > nat ).

tff(func_def_1904,type,
    bG785: $o > $o ).

tff(func_def_1905,type,
    bG786: $o > $o ).

tff(func_def_1906,type,
    lG787: ( nat * nat ) > nat ).

tff(func_def_1907,type,
    bG795: $o > $o ).

tff(func_def_1908,type,
    bG796: $o > $o ).

tff(func_def_1909,type,
    lG797: ( nat * nat ) > nat ).

tff(func_def_1910,type,
    bG805: $o > $o ).

tff(func_def_1911,type,
    bG806: $o > $o ).

tff(func_def_1912,type,
    bG807: $o > $o ).

tff(func_def_1913,type,
    bG808: $o > $o ).

tff(func_def_1914,type,
    bG809: $o > $o ).

tff(func_def_1915,type,
    bG810: $o > $o ).

tff(func_def_1916,type,
    lG811: ( nat * nat ) > nat ).

tff(func_def_1917,type,
    lG813: ( nat * nat ) > nat ).

tff(func_def_1918,type,
    lG814: ( nat * nat ) > nat ).

tff(func_def_1919,type,
    lG815: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1920,type,
    lG816: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1921,type,
    iG817: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1922,type,
    iG818: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1923,type,
    iG819: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1924,type,
    iG820: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1925,type,
    bG821: $o > $o ).

tff(func_def_1926,type,
    bG822: $o > $o ).

tff(func_def_1927,type,
    iG823: $o > option_nat ).

tff(func_def_1928,type,
    bG824: $o > $o ).

tff(func_def_1929,type,
    bG825: $o > $o ).

tff(func_def_1930,type,
    lG826: ( nat * nat ) > nat ).

tff(func_def_1931,type,
    bG830: $o > $o ).

tff(func_def_1932,type,
    bG831: $o > $o ).

tff(func_def_1933,type,
    lG832: ( nat * nat ) > nat ).

tff(func_def_1934,type,
    bG836: $o > $o ).

tff(func_def_1935,type,
    bG837: $o > $o ).

tff(func_def_1936,type,
    lG838: ( nat * nat ) > nat ).

tff(func_def_1937,type,
    bG842: $o > $o ).

tff(func_def_1938,type,
    bG843: $o > $o ).

tff(func_def_1939,type,
    iG844: $o > option_nat ).

tff(func_def_1940,type,
    iG845: ( $o * $o ) > option_nat ).

tff(func_def_1941,type,
    bG846: $o > $o ).

tff(func_def_1942,type,
    bG847: $o > $o ).

tff(func_def_1943,type,
    iG848: $o > option_nat ).

tff(func_def_1944,type,
    iG849: ( $o * $o ) > option_nat ).

tff(func_def_1945,type,
    bG850: $o > $o ).

tff(func_def_1946,type,
    bG851: $o > $o ).

tff(func_def_1947,type,
    bG852: $o > $o ).

tff(func_def_1948,type,
    bG853: $o > $o ).

tff(func_def_1949,type,
    iG854: $o > option_nat ).

tff(func_def_1950,type,
    iG855: ( $o * $o ) > option_nat ).

tff(func_def_1951,type,
    bG856: $o > $o ).

tff(func_def_1952,type,
    bG857: $o > $o ).

tff(func_def_1953,type,
    iG858: $o > option_nat ).

tff(func_def_1954,type,
    iG859: ( $o * $o ) > option_nat ).

tff(func_def_1955,type,
    lG860: ( nat * nat ) > nat ).

tff(func_def_1956,type,
    lG861: ( nat * nat ) > nat ).

tff(func_def_1957,type,
    lG862: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1958,type,
    lG863: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1959,type,
    iG864: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1960,type,
    iG865: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1961,type,
    iG866: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1962,type,
    iG867: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1963,type,
    bG868: $o > $o ).

tff(func_def_1964,type,
    bG869: $o > $o ).

tff(func_def_1965,type,
    bG870: $o > $o ).

tff(func_def_1966,type,
    bG871: $o > $o ).

tff(func_def_1967,type,
    bG872: $o > $o ).

tff(func_def_1968,type,
    bG873: $o > $o ).

tff(func_def_1969,type,
    iG874: $o > option_nat ).

tff(func_def_1970,type,
    bG875: $o > $o ).

tff(func_def_1971,type,
    bG876: $o > $o ).

tff(func_def_1972,type,
    iG877: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1973,type,
    iG878: ( num * num ) > product_prod_int_int ).

tff(func_def_1974,type,
    iG879: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1975,type,
    iG880: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1976,type,
    iG881: ( num * num ) > product_prod_int_int ).

tff(func_def_1977,type,
    iG882: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1978,type,
    iG883: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1979,type,
    iG884: ( num * num ) > product_prod_int_int ).

tff(func_def_1980,type,
    iG885: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1981,type,
    lG886: ( nat * nat ) > nat ).

tff(func_def_1982,type,
    bG894: $o > $o ).

tff(func_def_1983,type,
    bG895: $o > $o ).

tff(func_def_1984,type,
    bG896: $o > $o ).

tff(func_def_1985,type,
    bG897: $o > $o ).

tff(func_def_1986,type,
    lG898: ( nat * nat ) > nat ).

tff(func_def_1987,type,
    bG899: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1988,type,
    iG900: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1989,type,
    iG901: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1990,type,
    iG902: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1991,type,
    iG903: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1992,type,
    iG904: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1993,type,
    bG905: $o > $o ).

tff(func_def_1994,type,
    bG906: $o > $o ).

tff(func_def_1995,type,
    bG907: $o > $o ).

tff(func_def_1996,type,
    bG908: $o > $o ).

tff(func_def_1997,type,
    iG909: ( nat * $o ) > $o ).

tff(func_def_1998,type,
    iG910: ( nat * $o * $o ) > $o ).

tff(func_def_1999,type,
    bG911: $o > $o ).

tff(func_def_2000,type,
    bG912: $o > $o ).

tff(func_def_2001,type,
    lG913: ( nat * nat ) > nat ).

tff(func_def_2002,type,
    bG914: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2003,type,
    iG915: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2004,type,
    bG916: $o > $o ).

tff(func_def_2005,type,
    bG917: $o > $o ).

tff(func_def_2006,type,
    bG918: $o > $o ).

tff(func_def_2007,type,
    bG919: $o > $o ).

tff(func_def_2008,type,
    iG920: ( nat * $o ) > $o ).

tff(func_def_2009,type,
    iG921: ( nat * $o * $o ) > $o ).

tff(func_def_2010,type,
    bG922: $o > $o ).

tff(func_def_2011,type,
    bG923: $o > $o ).

tff(func_def_2012,type,
    lG924: ( nat * nat ) > nat ).

tff(func_def_2013,type,
    bG928: $o > $o ).

tff(func_def_2014,type,
    bG929: $o > $o ).

tff(func_def_2015,type,
    bG930: $o > $o ).

tff(func_def_2016,type,
    bG931: $o > $o ).

tff(func_def_2017,type,
    lG932: ( nat * nat ) > nat ).

tff(func_def_2018,type,
    bG940: $o > $o ).

tff(func_def_2019,type,
    bG941: $o > $o ).

tff(func_def_2020,type,
    bG942: $o > $o ).

tff(func_def_2021,type,
    bG943: $o > $o ).

tff(func_def_2022,type,
    lG944: ( nat * nat ) > nat ).

tff(func_def_2023,type,
    bG948: $o > $o ).

tff(func_def_2024,type,
    bG949: $o > $o ).

tff(func_def_2025,type,
    bG950: $o > $o ).

tff(func_def_2026,type,
    bG951: $o > $o ).

tff(func_def_2027,type,
    lG952: ( nat * nat ) > nat ).

tff(func_def_2028,type,
    bG953: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2029,type,
    iG954: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2030,type,
    lG955: ( nat * nat ) > nat ).

tff(func_def_2031,type,
    bG957: $o > $o ).

tff(func_def_2032,type,
    bG958: $o > $o ).

tff(func_def_2033,type,
    bG959: $o > $o ).

tff(func_def_2034,type,
    bG960: $o > $o ).

tff(func_def_2035,type,
    lG961: ( nat * nat ) > nat ).

tff(func_def_2036,type,
    lG963: ( nat * nat ) > nat ).

tff(func_def_2037,type,
    bG965: $o > $o ).

tff(func_def_2038,type,
    bG966: $o > $o ).

tff(func_def_2039,type,
    bG967: $o > $o ).

tff(func_def_2040,type,
    bG968: $o > $o ).

tff(func_def_2041,type,
    lG969: ( nat * nat ) > nat ).

tff(func_def_2042,type,
    lG971: ( nat * nat ) > nat ).

tff(func_def_2043,type,
    bG973: int > $o ).

tff(func_def_2044,type,
    bG974: ( list_o * nat ) > $o ).

tff(func_def_2045,type,
    bG975: ( list_VEBT_VEBT * nat * list_o ) > $o ).

tff(func_def_2046,type,
    bG976: ( list_o * nat * list_o ) > $o ).

tff(func_def_2047,type,
    bG977: ( list_o * nat ) > $o ).

tff(func_def_2048,type,
    bG978: ( list_nat * nat * list_o ) > $o ).

tff(func_def_2049,type,
    bG979: ( list_int * nat * list_o ) > $o ).

tff(func_def_2050,type,
    iG980: ( int * int ) > int ).

tff(func_def_2051,type,
    iG981: ( int * int ) > int ).

tff(func_def_2052,type,
    bG984: ( int * int ) > $o ).

tff(func_def_2053,type,
    bG985: ( int * int ) > $o ).

tff(func_def_2054,type,
    iG986: ( int * int ) > int ).

tff(func_def_2055,type,
    bG987: ( int * int ) > $o ).

tff(func_def_2056,type,
    bG988: ( int * int ) > $o ).

tff(func_def_2057,type,
    iG989: ( int * int ) > int ).

tff(func_def_2058,type,
    lG990: nat > nat ).

tff(func_def_2059,type,
    lG991: nat > nat ).

tff(func_def_2060,type,
    iG992: nat > vEBT_VEBT ).

tff(func_def_2061,type,
    iG993: ( int * int ) > set_int ).

tff(func_def_2062,type,
    lG994: nat > nat ).

tff(func_def_2063,type,
    lG995: nat > nat ).

tff(func_def_2064,type,
    iG996: nat > vEBT_VEBT ).

tff(func_def_2065,type,
    bG997: ( int * int ) > $o ).

tff(func_def_2066,type,
    bG998: ( int * int ) > $o ).

tff(func_def_2067,type,
    iG999: ( int * int ) > int ).

tff(func_def_2068,type,
    bG1000: ( int * int ) > $o ).

tff(func_def_2069,type,
    bG1001: ( int * int ) > $o ).

tff(func_def_2070,type,
    iG1002: ( int * int ) > int ).

tff(func_def_2071,type,
    iG1003: complex > real ).

tff(func_def_2072,type,
    iG1004: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2073,type,
    iG1005: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2074,type,
    lG1006: ( nat * nat ) > nat ).

tff(func_def_2075,type,
    iG1007: ( nat * nat ) > nat ).

tff(func_def_2076,type,
    lG1008: ( nat * nat * nat ) > nat ).

tff(func_def_2077,type,
    iG1009: ( nat * nat ) > nat ).

tff(func_def_2078,type,
    iG1010: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2079,type,
    iG1011: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2080,type,
    lG1012: ( nat * nat ) > nat ).

tff(func_def_2081,type,
    iG1013: ( nat * nat ) > nat ).

tff(func_def_2082,type,
    lG1014: ( nat * nat * nat ) > nat ).

tff(func_def_2083,type,
    iG1015: ( nat * nat ) > nat ).

tff(func_def_2084,type,
    iG1016: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2085,type,
    iG1017: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2086,type,
    bG1018: $o > $o ).

tff(func_def_2087,type,
    bG1019: $o > $o ).

tff(func_def_2088,type,
    bG1020: $o > $o ).

tff(func_def_2089,type,
    bG1021: $o > $o ).

tff(func_def_2090,type,
    iG1022: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2091,type,
    iG1023: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2092,type,
    bG1024: $o > $o ).

tff(func_def_2093,type,
    bG1025: $o > $o ).

tff(func_def_2094,type,
    lG1026: ( nat * nat ) > nat ).

tff(func_def_2095,type,
    iG1027: ( nat * nat ) > nat ).

tff(func_def_2096,type,
    lG1028: ( nat * nat * nat ) > nat ).

tff(func_def_2097,type,
    iG1029: ( nat * nat ) > nat ).

tff(func_def_2098,type,
    iG1030: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2099,type,
    iG1031: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2100,type,
    bG1032: $o > $o ).

tff(func_def_2101,type,
    bG1033: $o > $o ).

tff(func_def_2102,type,
    bG1034: $o > $o ).

tff(func_def_2103,type,
    bG1035: $o > $o ).

tff(func_def_2104,type,
    bG1036: $o > $o ).

tff(func_def_2105,type,
    bG1037: $o > $o ).

tff(func_def_2106,type,
    iG1038: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2107,type,
    iG1039: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2108,type,
    bG1040: $o > $o ).

tff(func_def_2109,type,
    bG1041: $o > $o ).

tff(func_def_2110,type,
    lG1042: nat > nat ).

tff(func_def_2111,type,
    lG1043: nat > nat ).

tff(func_def_2112,type,
    iG1044: nat > vEBT_VEBT ).

tff(func_def_2113,type,
    iG1045: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2114,type,
    iG1046: ( int * int ) > int ).

tff(func_def_2115,type,
    iG1047: ( int * int ) > int ).

tff(func_def_2116,type,
    iG1048: ( int * int ) > int ).

tff(func_def_2117,type,
    bG1049: ( int * int ) > $o ).

tff(func_def_2118,type,
    bG1050: nat > $o ).

tff(func_def_2119,type,
    bG1051: nat > $o ).

tff(func_def_2120,type,
    bG1052: ( nat * nat ) > $o ).

tff(func_def_2121,type,
    iG1053: ( nat * nat ) > nat ).

tff(func_def_2122,type,
    iG1054: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    iG1055: ( nat * nat ) > set_nat ).

tff(func_def_2124,type,
    iG1056: ( num * nat ) > set_nat ).

tff(func_def_2125,type,
    bG1057: $o > $o ).

tff(func_def_2126,type,
    bG1058: $o > $o ).

tff(func_def_2127,type,
    iG1059: code_integer > code_integer ).

tff(func_def_2128,type,
    iG1060: code_integer > code_integer ).

tff(func_def_2129,type,
    iG1061: complex > real ).

tff(func_def_2130,type,
    iG1062: complex > real ).

tff(func_def_2131,type,
    lG1063: int > code_integer ).

tff(func_def_2132,type,
    iG1064: int > code_integer ).

tff(func_def_2133,type,
    iG1065: int > code_integer ).

tff(func_def_2134,type,
    iG1066: int > code_integer ).

tff(func_def_2135,type,
    iG1067: code_integer > code_integer ).

tff(func_def_2136,type,
    lG1068: num > code_integer ).

tff(func_def_2137,type,
    lG1069: num > code_integer ).

tff(func_def_2138,type,
    bG1070: code_integer > $o ).

tff(func_def_2139,type,
    iG1071: code_integer > produc6271795597528267376eger_o ).

tff(func_def_2140,type,
    iG1072: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2141,type,
    iG1073: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2142,type,
    iG1074: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2143,type,
    iG1075: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2144,type,
    iG1076: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2145,type,
    bG1077: $o > $o ).

tff(func_def_2146,type,
    bG1078: $o > $o ).

tff(func_def_2147,type,
    iG1079: $o > option_nat ).

tff(func_def_2148,type,
    iG1080: ( $o * $o ) > option_nat ).

tff(func_def_2149,type,
    bG1081: $o > $o ).

tff(func_def_2150,type,
    bG1082: $o > $o ).

tff(func_def_2151,type,
    bG1083: $o > $o ).

tff(func_def_2152,type,
    bG1084: $o > $o ).

tff(func_def_2153,type,
    iG1085: $o > option_nat ).

tff(func_def_2154,type,
    iG1086: ( $o * $o ) > option_nat ).

tff(func_def_2155,type,
    bG1087: $o > $o ).

tff(func_def_2156,type,
    bG1088: $o > $o ).

tff(func_def_2157,type,
    iG1089: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2158,type,
    iG1090: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2159,type,
    iG1091: rat > rat ).

tff(func_def_2160,type,
    iG1092: rat > rat ).

tff(func_def_2161,type,
    iG1093: rat > rat ).

tff(func_def_2162,type,
    bG1094: nat > $o ).

tff(func_def_2163,type,
    iG1095: ( int * int ) > int ).

tff(func_def_2164,type,
    iG1096: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2165,type,
    iG1097: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2166,type,
    iG1098: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2167,type,
    lG1099: product_prod_int_int > int ).

tff(func_def_2168,type,
    lG1100: product_prod_int_int > int ).

tff(func_def_2169,type,
    iG1101: product_prod_int_int > product_prod_int_int ).

tff(func_def_2170,type,
    iG1102: product_prod_int_int > product_prod_int_int ).

tff(func_def_2171,type,
    iG1103: ( int * int ) > int ).

tff(func_def_2172,type,
    iG1104: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2173,type,
    iG1105: ( nat * nat ) > nat ).

tff(func_def_2174,type,
    iG1106: ( nat * nat ) > nat ).

tff(func_def_2175,type,
    iG1107: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2176,type,
    iG1108: ( nat * nat ) > nat ).

tff(func_def_2177,type,
    iG1109: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2178,type,
    iG1110: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2179,type,
    iG1111: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2180,type,
    iG1112: code_integer > int ).

tff(func_def_2181,type,
    iG1113: code_integer > int ).

tff(func_def_2182,type,
    iG1114: nat > num ).

tff(func_def_2183,type,
    lG1115: nat > nat ).

tff(func_def_2184,type,
    lG1116: nat > nat ).

tff(func_def_2185,type,
    bG1117: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2186,type,
    bG1118: $o > $o ).

tff(func_def_2187,type,
    bG1119: $o > $o ).

tff(func_def_2188,type,
    lG1120: nat > nat ).

tff(func_def_2189,type,
    lG1121: nat > nat ).

tff(func_def_2190,type,
    bG1122: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2191,type,
    bG1123: $o > $o ).

tff(func_def_2192,type,
    bG1124: $o > $o ).

tff(func_def_2193,type,
    lG1125: nat > nat ).

tff(func_def_2194,type,
    lG1126: nat > nat ).

tff(func_def_2195,type,
    bG1127: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2196,type,
    bG1128: $o > $o ).

tff(func_def_2197,type,
    bG1129: $o > $o ).

tff(func_def_2198,type,
    lG1130: nat > nat ).

tff(func_def_2199,type,
    lG1131: nat > nat ).

tff(func_def_2200,type,
    bG1132: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2201,type,
    lG1133: nat > nat ).

tff(func_def_2202,type,
    lG1134: nat > nat ).

tff(func_def_2203,type,
    bG1135: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2204,type,
    bG1136: $o > $o ).

tff(func_def_2205,type,
    bG1137: $o > $o ).

tff(func_def_2206,type,
    bG1138: $o > $o ).

tff(func_def_2207,type,
    bG1139: $o > $o ).

tff(func_def_2208,type,
    lG1140: nat > nat ).

tff(func_def_2209,type,
    lG1141: nat > nat ).

tff(func_def_2210,type,
    bG1142: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2211,type,
    bG1143: $o > $o ).

tff(func_def_2212,type,
    bG1144: $o > $o ).

tff(func_def_2213,type,
    bG1145: $o > $o ).

tff(func_def_2214,type,
    bG1146: $o > $o ).

tff(func_def_2215,type,
    lG1147: nat > nat ).

tff(func_def_2216,type,
    lG1148: nat > nat ).

tff(func_def_2217,type,
    bG1149: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2218,type,
    bG1150: $o > $o ).

tff(func_def_2219,type,
    bG1151: $o > $o ).

tff(func_def_2220,type,
    bG1152: $o > $o ).

tff(func_def_2221,type,
    bG1153: $o > $o ).

tff(func_def_2222,type,
    iG1154: ( nat * nat ) > set_nat ).

tff(func_def_2223,type,
    iG1155: ( nat * nat * nat ) > set_nat ).

tff(func_def_2224,type,
    iG1156: ( num * nat ) > option_num ).

tff(func_def_2225,type,
    iG1157: code_integer > num ).

tff(func_def_2226,type,
    iG1158: ( nat * nat ) > nat ).

tff(func_def_2227,type,
    iG1159: ( int * int * list_int ) > list_int ).

tff(func_def_2228,type,
    iG1160: ( int * int ) > list_int ).

tff(func_def_2229,type,
    iG1161: ( num * num ) > list_int ).

tff(func_def_2230,type,
    iG1162: ( num * num ) > list_int ).

tff(func_def_2231,type,
    iG1163: ( num * num ) > list_int ).

tff(func_def_2232,type,
    iG1164: ( num * num ) > list_int ).

tff(func_def_2233,type,
    iG1165: ( int * int ) > list_int ).

tff(func_def_2234,type,
    iG1166: ( int * int ) > list_int ).

tff(func_def_2235,type,
    iG1167: ( int * int ) > list_int ).

tff(func_def_2236,type,
    iG1168: ( num * num ) > list_nat ).

tff(func_def_2237,type,
    iG1169: ( nat * nat ) > list_nat ).

tff(func_def_2238,type,
    iG1170: ( nat * nat ) > list_nat ).

tff(func_def_2239,type,
    iG1171: real > set_real ).

tff(func_def_2240,type,
    iG1172: ( nat * real ) > real ).

tff(func_def_2241,type,
    bG1173: $o > $o ).

tff(func_def_2242,type,
    bG1174: $o > $o ).

tff(func_def_2243,type,
    bG1175: $o > $o ).

tff(func_def_2244,type,
    bG1176: $o > $o ).

tff(func_def_2245,type,
    bG1177: $o > $o ).

tff(func_def_2246,type,
    bG1178: $o > $o ).

tff(func_def_2247,type,
    bG1179: $o > $o ).

tff(func_def_2248,type,
    bG1180: $o > $o ).

tff(func_def_2249,type,
    bG1181: $o > $o ).

tff(func_def_2250,type,
    bG1182: $o > $o ).

tff(func_def_2251,type,
    bG1183: $o > $o ).

tff(func_def_2252,type,
    bG1184: $o > $o ).

tff(func_def_2253,type,
    bG1185: $o > $o ).

tff(func_def_2254,type,
    bG1186: $o > $o ).

tff(func_def_2255,type,
    bG1187: $o > $o ).

tff(func_def_2256,type,
    bG1188: $o > $o ).

tff(func_def_2257,type,
    iG1190: code_integer > nat ).

tff(func_def_2258,type,
    iG1191: fun_nat_rat > real ).

tff(func_def_2259,type,
    iG1192: fun_nat_rat > fun_nat_rat ).

tff(func_def_2260,type,
    iG1193: int > int ).

tff(func_def_2261,type,
    iG1194: ( real * real ) > real ).

tff(func_def_2262,type,
    iG1195: ( real * real ) > real ).

tff(func_def_2263,type,
    iG1196: ( real * real ) > real ).

tff(func_def_2264,type,
    bG1197: $o > $o ).

tff(func_def_2265,type,
    bG1198: $o > $o ).

tff(func_def_2266,type,
    bG1199: $o > $o ).

tff(func_def_2267,type,
    bG1200: $o > $o ).

tff(func_def_2268,type,
    iG1201: nat > extended_enat ).

tff(func_def_2269,type,
    iG1202: nat > extended_enat ).

tff(func_def_2270,type,
    iG1203: set_Extended_enat > extended_enat ).

tff(func_def_2271,type,
    iG1204: set_Extended_enat > extended_enat ).

tff(func_def_2272,type,
    iG1205: set_Extended_enat > extended_enat ).

tff(func_def_2273,type,
    iG1206: extended_enat > extended_enat ).

tff(func_def_2274,type,
    bG1207: $o > $o ).

tff(func_def_2275,type,
    bG1208: $o > $o ).

tff(func_def_2276,type,
    bG1209: $o > $o ).

tff(func_def_2277,type,
    bG1210: $o > $o ).

tff(func_def_2278,type,
    bG1211: $o > $o ).

tff(func_def_2279,type,
    bG1212: $o > $o ).

tff(func_def_2280,type,
    iG1213: fun_nat_rat > fun_nat_rat ).

tff(func_def_2281,type,
    iG1214: ( nat * fun_nat_real ) > real ).

tff(func_def_2282,type,
    iG1215: ( int * int ) > product_prod_int_int ).

tff(func_def_2283,type,
    iG1216: nat > extended_enat ).

tff(func_def_2284,type,
    lG1217: code_integer > int ).

tff(func_def_2285,type,
    iG1218: ( code_integer * code_integer ) > int ).

tff(func_def_2286,type,
    lG1219: code_integer > num ).

tff(func_def_2287,type,
    lG1220: code_integer > num ).

tff(func_def_2288,type,
    iG1221: ( code_integer * code_integer ) > num ).

tff(func_def_2289,type,
    lG1222: code_integer > nat ).

tff(func_def_2290,type,
    lG1223: code_integer > nat ).

tff(func_def_2291,type,
    iG1224: ( code_integer * code_integer ) > nat ).

tff(func_def_2292,type,
    bG1225: int > $o ).

tff(func_def_2293,type,
    bG1226: $o > $o ).

tff(func_def_2294,type,
    iG1227: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2295,type,
    iG1228: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2296,type,
    iG1229: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2297,type,
    iG1230: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_2298,type,
    iG1231: ( int * num * int ) > product_prod_int_int ).

tff(func_def_2299,type,
    iG1232: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2300,type,
    iG1233: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2301,type,
    iG1234: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2302,type,
    iG1235: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2303,type,
    bG1236: code_integer > $o ).

tff(func_def_2304,type,
    bG1238: $o > $o ).

tff(func_def_2305,type,
    bG1239: $o > $o ).

tff(func_def_2306,type,
    bG1240: $o > $o ).

tff(func_def_2307,type,
    bG1241: $o > $o ).

tff(func_def_2308,type,
    sK1315: fun_nat_o > nat ).

tff(func_def_2309,type,
    sK1316: fun_nat_o > nat ).

tff(func_def_2310,type,
    sK1317: fun_nat_o > nat ).

tff(func_def_2311,type,
    sK1318: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2312,type,
    sK1319: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2313,type,
    sK1320: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2314,type,
    sK1321: ( nat * nat ) > nat ).

tff(func_def_2315,type,
    sK1322: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2316,type,
    sK1323: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2317,type,
    sK1324: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2318,type,
    sK1325: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2319,type,
    sK1326: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2320,type,
    sK1327: list_VEBT_VEBT > nat ).

tff(func_def_2321,type,
    sK1328: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2322,type,
    sK1329: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2323,type,
    sK1330: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2324,type,
    sK1331: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2325,type,
    sK1332: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2326,type,
    sK1333: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2327,type,
    sK1334: list_VEBT_VEBT > nat ).

tff(func_def_2328,type,
    sK1335: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2329,type,
    sK1336: fun_nat_o > nat ).

tff(func_def_2330,type,
    sK1337: nat > nat ).

tff(func_def_2331,type,
    sK1338: ( nat * fun_nat_o ) > nat ).

tff(func_def_2332,type,
    sK1339: ( nat * fun_nat_o ) > nat ).

tff(func_def_2333,type,
    sK1340: nat > nat ).

tff(func_def_2334,type,
    sK1341: ( nat * fun_nat_o ) > nat ).

tff(func_def_2335,type,
    sK1342: ( nat * fun_nat_o ) > nat ).

tff(func_def_2336,type,
    sK1343: nat > nat ).

tff(func_def_2337,type,
    sK1344: ( nat * nat ) > nat ).

tff(func_def_2338,type,
    sK1345: nat > nat ).

tff(func_def_2339,type,
    sK1346: fun_nat_o > nat ).

tff(func_def_2340,type,
    sK1347: fun_nat_fun_nat_o > nat ).

tff(func_def_2341,type,
    sK1348: fun_nat_fun_nat_o > nat ).

tff(func_def_2342,type,
    sK1349: fun_nat_fun_nat_o > nat ).

tff(func_def_2343,type,
    sK1350: fun_nat_fun_nat_o > nat ).

tff(func_def_2344,type,
    sK1351: fun_nat_o > nat ).

tff(func_def_2345,type,
    sK1352: nat > nat ).

tff(func_def_2346,type,
    sK1353: nat > nat ).

tff(func_def_2347,type,
    sK1354: fun_nat_nat > nat ).

tff(func_def_2348,type,
    sK1355: fun_nat_nat > nat ).

tff(func_def_2349,type,
    sK1356: ( nat * fun_nat_o ) > nat ).

tff(func_def_2350,type,
    sK1357: ( nat * fun_nat_o ) > nat ).

tff(func_def_2351,type,
    sK1358: fun_nat_fun_nat_o > nat ).

tff(func_def_2352,type,
    sK1359: fun_nat_fun_nat_o > nat ).

tff(func_def_2353,type,
    sK1360: fun_nat_fun_nat_o > nat ).

tff(func_def_2354,type,
    sK1361: fun_nat_fun_nat_o > nat ).

tff(func_def_2355,type,
    sK1362: ( nat * nat ) > nat ).

tff(func_def_2356,type,
    sK1363: ( nat * fun_nat_o ) > nat ).

tff(func_def_2357,type,
    sK1364: ( nat * fun_nat_o ) > nat ).

tff(func_def_2358,type,
    sK1365: ( nat * fun_nat_o ) > nat ).

tff(func_def_2359,type,
    sK1366: ( nat * fun_nat_o ) > nat ).

tff(func_def_2360,type,
    sK1367: ( nat * nat ) > nat ).

tff(func_def_2361,type,
    sK1368: ( nat * nat ) > nat ).

tff(func_def_2362,type,
    sK1369: nat ).

tff(func_def_2363,type,
    sK1370: ( nat * fun_nat_o ) > nat ).

tff(func_def_2364,type,
    sK1371: ( nat * fun_nat_o ) > nat ).

tff(func_def_2365,type,
    sK1372: fun_nat_real > nat ).

tff(func_def_2366,type,
    sK1373: fun_nat_real > nat ).

tff(func_def_2367,type,
    sK1374: fun_nat_real > nat ).

tff(func_def_2368,type,
    sK1375: fun_nat_real > nat ).

tff(func_def_2369,type,
    sK1376: fun_nat_real > nat ).

tff(func_def_2370,type,
    sK1377: fun_nat_real > nat ).

tff(func_def_2371,type,
    sK1378: fun_nat_fun_nat_o > nat ).

tff(func_def_2372,type,
    sK1379: fun_nat_fun_nat_o > nat ).

tff(func_def_2373,type,
    sK1380: fun_nat_fun_nat_o > nat ).

tff(func_def_2374,type,
    sK1381: fun_nat_fun_nat_o > nat ).

tff(func_def_2375,type,
    sK1382: fun_nat_fun_nat_o > nat ).

tff(func_def_2376,type,
    sK1383: fun_nat_o > nat ).

tff(func_def_2377,type,
    sK1384: ( fun_nat_o * nat ) > nat ).

tff(func_def_2378,type,
    sK1385: fun_nat_o > nat ).

tff(func_def_2379,type,
    sK1386: fun_nat_o > nat ).

tff(func_def_2380,type,
    sK1387: nat > nat ).

tff(func_def_2381,type,
    sK1388: fun_nat_fun_nat_o > nat ).

tff(func_def_2382,type,
    sK1389: fun_nat_fun_nat_o > nat ).

tff(func_def_2383,type,
    sK1390: fun_nat_fun_nat_o > nat ).

tff(func_def_2384,type,
    sK1391: fun_nat_fun_nat_o > nat ).

tff(func_def_2385,type,
    sK1392: nat > nat ).

tff(func_def_2386,type,
    sK1393: nat > nat ).

tff(func_def_2387,type,
    sK1394: nat > nat ).

tff(func_def_2388,type,
    sK1395: nat > nat ).

tff(func_def_2389,type,
    sK1396: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2390,type,
    sK1397: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2391,type,
    sK1398: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2392,type,
    sK1399: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2393,type,
    sK1400: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2394,type,
    sK1401: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2395,type,
    sK1402: nat > nat ).

tff(func_def_2396,type,
    sK1403: nat > nat ).

tff(func_def_2397,type,
    sK1404: nat > nat ).

tff(func_def_2398,type,
    sK1405: nat > nat ).

tff(func_def_2399,type,
    sK1406: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2400,type,
    sK1407: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2401,type,
    sK1408: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2402,type,
    sK1409: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2403,type,
    sK1410: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2404,type,
    sK1411: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2405,type,
    sK1412: nat > nat ).

tff(func_def_2406,type,
    sK1413: nat > nat ).

tff(func_def_2407,type,
    sK1414: nat > nat ).

tff(func_def_2408,type,
    sK1415: nat > nat ).

tff(func_def_2409,type,
    sK1416: ( fun_nat_o * nat ) > nat ).

tff(func_def_2410,type,
    sK1417: ( fun_nat_o * nat ) > nat ).

tff(func_def_2411,type,
    sK1418: fun_nat_o > nat ).

tff(func_def_2412,type,
    sK1419: fun_nat_o > nat ).

tff(func_def_2413,type,
    sK1420: ( fun_nat_o * nat ) > nat ).

tff(func_def_2414,type,
    sK1421: fun_nat_nat > nat ).

tff(func_def_2415,type,
    sK1422: fun_nat_nat > nat ).

tff(func_def_2416,type,
    sK1423: fun_nat_o > nat ).

tff(func_def_2417,type,
    sK1424: ( fun_nat_o * nat ) > nat ).

tff(func_def_2418,type,
    sK1425: fun_nat_o > nat ).

tff(func_def_2419,type,
    sK1426: fun_nat_o > nat ).

tff(func_def_2420,type,
    sK1427: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2421,type,
    sK1428: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2422,type,
    sK1429: fun_nat_nat > nat ).

tff(func_def_2423,type,
    sK1430: fun_nat_nat > nat ).

tff(func_def_2424,type,
    sK1431: fun_nat_real > nat ).

tff(func_def_2425,type,
    sK1432: fun_nat_real > nat ).

tff(func_def_2426,type,
    sK1433: fun_nat_fun_nat_o > nat ).

tff(func_def_2427,type,
    sK1434: fun_nat_fun_nat_o > nat ).

tff(func_def_2428,type,
    sK1435: fun_nat_fun_nat_o > nat ).

tff(func_def_2429,type,
    sK1436: fun_nat_fun_nat_o > nat ).

tff(func_def_2430,type,
    sK1437: fun_nat_fun_nat_o > nat ).

tff(func_def_2431,type,
    sK1438: ( nat * fun_nat_o ) > nat ).

tff(func_def_2432,type,
    sK1439: fun_nat_o > nat ).

tff(func_def_2433,type,
    sK1440: nat > nat ).

tff(func_def_2434,type,
    sK1441: fun_nat_fun_nat_o > nat ).

tff(func_def_2435,type,
    sK1442: fun_nat_fun_nat_o > nat ).

tff(func_def_2436,type,
    sK1443: fun_nat_fun_nat_o > nat ).

tff(func_def_2437,type,
    sK1444: fun_nat_fun_nat_o > nat ).

tff(func_def_2438,type,
    sK1445: fun_nat_fun_nat_o > nat ).

tff(func_def_2439,type,
    sK1446: fun_nat_o > nat ).

tff(func_def_2440,type,
    sK1447: ( nat * nat ) > nat ).

tff(func_def_2441,type,
    sK1448: ( nat * nat ) > nat ).

tff(func_def_2442,type,
    sK1449: ( nat * real ) > real ).

tff(func_def_2443,type,
    sK1450: ( nat * real ) > real ).

tff(func_def_2444,type,
    sK1451: ( real * nat ) > real ).

tff(func_def_2445,type,
    sK1452: ( nat * nat ) > nat ).

tff(func_def_2446,type,
    sK1453: ( nat * nat ) > nat ).

tff(func_def_2447,type,
    sK1454: ( nat * nat ) > nat ).

tff(func_def_2448,type,
    sK1455: fun_nat_int > nat ).

tff(func_def_2449,type,
    sK1456: fun_nat_rat > nat ).

tff(func_def_2450,type,
    sK1457: fun_nat_int > nat ).

tff(func_def_2451,type,
    sK1458: fun_nat_rat > nat ).

tff(func_def_2452,type,
    sK1459: fun_nat_int > nat ).

tff(func_def_2453,type,
    sK1460: fun_nat_rat > nat ).

tff(func_def_2454,type,
    sK1461: fun_nat_int > nat ).

tff(func_def_2455,type,
    sK1462: fun_nat_rat > nat ).

tff(func_def_2456,type,
    sK1463: fun_nat_o > nat ).

tff(func_def_2457,type,
    sK1464: nat > nat ).

tff(func_def_2458,type,
    sK1465: nat > nat ).

tff(func_def_2459,type,
    sK1466: fun_nat_rat > nat ).

tff(func_def_2460,type,
    sK1467: fun_nat_rat > nat ).

tff(func_def_2461,type,
    sK1468: fun_nat_rat > nat ).

tff(func_def_2462,type,
    sK1469: fun_nat_rat > nat ).

tff(func_def_2463,type,
    sK1470: fun_nat_rat > nat ).

tff(func_def_2464,type,
    sK1471: fun_nat_rat > nat ).

tff(func_def_2465,type,
    sK1472: ( nat * nat ) > nat ).

tff(func_def_2466,type,
    sK1473: ( nat * nat ) > nat ).

tff(func_def_2467,type,
    sK1474: ( nat * nat ) > nat ).

tff(func_def_2468,type,
    sK1475: ( nat * nat ) > nat ).

tff(func_def_2469,type,
    sK1476: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2470,type,
    sK1477: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2471,type,
    sK1478: fun_nat_nat > nat ).

tff(func_def_2472,type,
    sK1479: fun_nat_nat > nat ).

tff(func_def_2473,type,
    sK1480: ( nat * nat ) > nat ).

tff(func_def_2474,type,
    sK1481: ( nat * nat ) > nat ).

tff(func_def_2475,type,
    sK1482: ( real * real ) > real ).

tff(func_def_2476,type,
    sK1483: ( real * real ) > nat ).

tff(func_def_2477,type,
    sK1484: ( real * real ) > nat ).

tff(func_def_2478,type,
    sK1485: ( nat * nat ) > nat ).

tff(func_def_2479,type,
    sK1486: ( nat * nat ) > nat ).

tff(func_def_2480,type,
    sK1487: ( nat * nat ) > nat ).

tff(func_def_2481,type,
    sK1488: ( nat * nat ) > nat ).

tff(func_def_2482,type,
    sK1489: ( nat * nat ) > nat ).

tff(func_def_2483,type,
    sK1490: ( nat * nat ) > nat ).

tff(func_def_2484,type,
    sK1491: ( nat * nat ) > nat ).

tff(func_def_2485,type,
    sK1492: ( nat * nat ) > nat ).

tff(func_def_2486,type,
    sK1493: ( nat * nat ) > nat ).

tff(func_def_2487,type,
    sK1494: ( nat * nat * nat ) > nat ).

tff(func_def_2488,type,
    sK1495: ( nat * nat * nat ) > nat ).

tff(func_def_2489,type,
    sK1496: ( nat * nat * nat ) > nat ).

tff(func_def_2490,type,
    sK1497: ( nat * nat * nat ) > nat ).

tff(func_def_2491,type,
    sK1498: ( nat * nat * nat ) > nat ).

tff(func_def_2492,type,
    sK1499: ( nat * nat * nat ) > nat ).

tff(func_def_2493,type,
    sK1500: ( fun_nat_o * nat ) > nat ).

tff(func_def_2494,type,
    sK1501: ( fun_nat_o * nat ) > nat ).

tff(func_def_2495,type,
    sK1502: nat > nat ).

tff(func_def_2496,type,
    sK1503: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2497,type,
    sK1504: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2498,type,
    sK1505: nat > nat ).

tff(func_def_2499,type,
    sK1506: ( nat * nat ) > nat ).

tff(func_def_2500,type,
    sK1507: ( nat * nat ) > nat ).

tff(func_def_2501,type,
    sK1508: ( nat * nat ) > nat ).

tff(func_def_2502,type,
    sK1509: ( nat * nat ) > nat ).

tff(func_def_2503,type,
    sK1510: ( nat * nat * nat ) > nat ).

tff(func_def_2504,type,
    sK1511: ( nat * nat * nat ) > nat ).

tff(func_def_2505,type,
    sK1512: ( nat * nat * nat ) > nat ).

tff(func_def_2506,type,
    sK1513: ( nat * nat * nat ) > nat ).

tff(func_def_2507,type,
    sK1514: ( nat * nat * nat ) > nat ).

tff(func_def_2508,type,
    sK1515: fun_real_fun_real_o > real ).

tff(func_def_2509,type,
    sK1516: fun_real_real > real ).

tff(func_def_2510,type,
    sK1517: fun_real_real > real ).

tff(func_def_2511,type,
    sK1518: fun_real_real > real ).

tff(func_def_2512,type,
    sK1519: fun_real_real > real ).

tff(func_def_2513,type,
    sK1520: fun_real_real > real ).

tff(func_def_2514,type,
    sK1521: fun_real_real > real ).

tff(func_def_2515,type,
    sK1522: fun_real_real > real ).

tff(func_def_2516,type,
    sK1523: fun_real_real > real ).

tff(func_def_2517,type,
    sK1524: fun_real_real > real ).

tff(func_def_2518,type,
    sK1525: fun_real_real > real ).

tff(func_def_2519,type,
    sK1526: fun_real_real > real ).

tff(func_def_2520,type,
    sK1527: fun_real_real > real ).

tff(func_def_2521,type,
    sK1528: ( real * fun_real_o ) > real ).

tff(func_def_2522,type,
    sK1529: ( real * fun_real_o ) > real ).

tff(func_def_2523,type,
    sK1530: ( fun_real_o * real ) > real ).

tff(func_def_2524,type,
    sK1531: ( fun_real_o * real ) > real ).

tff(func_def_2525,type,
    sK1532: ( real * fun_real_o ) > real ).

tff(func_def_2526,type,
    sK1533: ( real * fun_real_o ) > real ).

tff(func_def_2527,type,
    sK1534: ( fun_real_o * real ) > real ).

tff(func_def_2528,type,
    sK1535: ( fun_real_o * real ) > real ).

tff(func_def_2529,type,
    sK1536: ( real * real * real ) > real ).

tff(func_def_2530,type,
    sK1537: ( real * real * real ) > real ).

tff(func_def_2531,type,
    sK1538: ( real * real ) > real ).

tff(func_def_2532,type,
    sK1539: ( real * real ) > real ).

tff(func_def_2533,type,
    sK1540: fun_real_fun_real_o > real ).

tff(func_def_2534,type,
    sK1541: fun_real_fun_real_o > real ).

tff(func_def_2535,type,
    sK1542: fun_real_fun_real_o > real ).

tff(func_def_2536,type,
    sK1543: fun_real_fun_real_o > real ).

tff(func_def_2537,type,
    sK1544: fun_real_fun_real_o > real ).

tff(func_def_2538,type,
    sK1545: ( real * real ) > real ).

tff(func_def_2539,type,
    sK1546: real > real ).

tff(func_def_2540,type,
    sK1547: real > real ).

tff(func_def_2541,type,
    sK1548: real > real ).

tff(func_def_2542,type,
    sK1549: real > real ).

tff(func_def_2543,type,
    sK1550: real > real ).

tff(func_def_2544,type,
    sK1551: real > real ).

tff(func_def_2545,type,
    sK1552: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2546,type,
    sK1553: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2547,type,
    sK1554: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2548,type,
    sK1555: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2549,type,
    sK1556: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2550,type,
    sK1557: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2551,type,
    sK1558: real > real ).

tff(func_def_2552,type,
    sK1559: real > real ).

tff(func_def_2553,type,
    sK1560: real > real ).

tff(func_def_2554,type,
    sK1561: real > real ).

tff(func_def_2555,type,
    sK1562: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2556,type,
    sK1563: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2557,type,
    sK1564: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2558,type,
    sK1565: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2559,type,
    sK1566: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2560,type,
    sK1567: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2561,type,
    sK1568: real > real ).

tff(func_def_2562,type,
    sK1569: real > real ).

tff(func_def_2563,type,
    sK1570: real > real ).

tff(func_def_2564,type,
    sK1571: real > real ).

tff(func_def_2565,type,
    sK1572: ( real * real ) > real ).

tff(func_def_2566,type,
    sK1573: ( real * real ) > real ).

tff(func_def_2567,type,
    sK1574: real > real ).

tff(func_def_2568,type,
    sK1575: real > real ).

tff(func_def_2569,type,
    sK1576: ( fun_real_fun_real_o * real * real ) > real ).

tff(func_def_2570,type,
    sK1577: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2571,type,
    sK1578: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2572,type,
    sK1579: fun_real_fun_real_o > real ).

tff(func_def_2573,type,
    sK1580: fun_real_fun_real_o > real ).

tff(func_def_2574,type,
    sK1581: fun_real_fun_real_o > real ).

tff(func_def_2575,type,
    sK1582: ( nat * nat ) > nat ).

tff(func_def_2576,type,
    sK1583: ( nat * nat ) > nat ).

tff(func_def_2577,type,
    sK1584: ( nat * nat ) > nat ).

tff(func_def_2578,type,
    sK1585: ( nat * nat ) > nat ).

tff(func_def_2579,type,
    sK1586: fun_nat_rat > nat ).

tff(func_def_2580,type,
    sK1587: fun_nat_rat > nat ).

tff(func_def_2581,type,
    sK1588: fun_nat_rat > nat ).

tff(func_def_2582,type,
    sK1589: fun_nat_rat > nat ).

tff(func_def_2583,type,
    sK1590: fun_nat_rat > nat ).

tff(func_def_2584,type,
    sK1591: fun_nat_rat > nat ).

tff(func_def_2585,type,
    sK1592: fun_nat_rat > nat ).

tff(func_def_2586,type,
    sK1593: fun_nat_rat > nat ).

tff(func_def_2587,type,
    sK1594: real > nat ).

tff(func_def_2588,type,
    sK1595: ( fun_nat_o * int ) > nat ).

tff(func_def_2589,type,
    sK1596: int > nat ).

tff(func_def_2590,type,
    sK1597: int > nat ).

tff(func_def_2591,type,
    sK1598: int > nat ).

tff(func_def_2592,type,
    sK1599: int > nat ).

tff(func_def_2593,type,
    sK1600: int > nat ).

tff(func_def_2594,type,
    sK1601: int > nat ).

tff(func_def_2595,type,
    sK1602: ( int * int ) > nat ).

tff(func_def_2596,type,
    sK1603: int > nat ).

tff(func_def_2597,type,
    sK1604: int > nat ).

tff(func_def_2598,type,
    sK1605: ( int * int ) > nat ).

tff(func_def_2599,type,
    sK1606: int > nat ).

tff(func_def_2600,type,
    sK1607: int > nat ).

tff(func_def_2601,type,
    sK1608: fun_int_o > nat ).

tff(func_def_2602,type,
    sK1609: fun_int_o > nat ).

tff(func_def_2603,type,
    sK1610: int > nat ).

tff(func_def_2604,type,
    sK1611: int > nat ).

tff(func_def_2605,type,
    sK1612: ( int * int ) > int ).

tff(func_def_2606,type,
    sK1613: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2607,type,
    sK1614: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2608,type,
    sK1615: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2609,type,
    sK1616: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2610,type,
    sK1617: ( fun_int_o * int * int ) > int ).

tff(func_def_2611,type,
    sK1618: ( fun_int_o * int * int ) > int ).

tff(func_def_2612,type,
    sK1619: ( fun_int_o * int * int ) > int ).

tff(func_def_2613,type,
    sK1620: ( fun_int_o * int * int ) > int ).

tff(func_def_2614,type,
    sK1621: fun_int_o > int ).

tff(func_def_2615,type,
    sK1622: fun_int_o > int ).

tff(func_def_2616,type,
    sK1623: ( int * fun_int_o ) > int ).

tff(func_def_2617,type,
    sK1624: ( int * fun_int_o ) > int ).

tff(func_def_2618,type,
    sK1625: ( int * fun_int_o ) > int ).

tff(func_def_2619,type,
    sK1626: ( real * real * real ) > real ).

tff(func_def_2620,type,
    sK1627: ( real * real * real ) > real ).

tff(func_def_2621,type,
    sK1628: real > nat ).

tff(func_def_2622,type,
    sK1629: real > nat ).

tff(func_def_2623,type,
    sK1630: fun_real_o > nat ).

tff(func_def_2624,type,
    sK1631: fun_real_o > real ).

tff(func_def_2625,type,
    sK1632: fun_real_o > real ).

tff(func_def_2626,type,
    sK1633: fun_real_o > nat ).

tff(func_def_2627,type,
    sK1634: fun_real_o > real ).

tff(func_def_2628,type,
    sK1635: fun_real_o > real ).

tff(func_def_2629,type,
    sK1636: real > nat ).

tff(func_def_2630,type,
    sK1637: real > nat ).

tff(func_def_2631,type,
    sK1638: real > nat ).

tff(func_def_2632,type,
    sK1639: real > nat ).

tff(func_def_2633,type,
    sK1640: real > nat ).

tff(func_def_2634,type,
    sK1641: real > nat ).

tff(func_def_2635,type,
    sK1642: real > nat ).

tff(func_def_2636,type,
    sK1643: real > nat ).

tff(func_def_2637,type,
    sK1644: real > nat ).

tff(func_def_2638,type,
    sK1645: ( real * real ) > nat ).

tff(func_def_2639,type,
    sK1646: ( real * real ) > nat ).

tff(func_def_2640,type,
    sK1647: ( real * real ) > nat ).

tff(func_def_2641,type,
    sK1648: real > nat ).

tff(func_def_2642,type,
    sK1649: real > nat ).

tff(func_def_2643,type,
    sK1650: fun_nat_fun_nat_o > nat ).

tff(func_def_2644,type,
    sK1651: fun_nat_fun_nat_o > nat ).

tff(func_def_2645,type,
    sK1652: fun_nat_fun_nat_o > nat ).

tff(func_def_2646,type,
    sK1653: ( fun_nat_o * nat ) > nat ).

tff(func_def_2647,type,
    sK1654: num > num ).

tff(func_def_2648,type,
    sK1655: num > num ).

tff(func_def_2649,type,
    sK1656: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2650,type,
    sK1657: list_VEBT_VEBT > nat ).

tff(func_def_2651,type,
    sK1658: vEBT_VEBT > nat ).

tff(func_def_2652,type,
    sK1659: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2653,type,
    sK1660: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2654,type,
    sK1661: list_VEBT_VEBT > nat ).

tff(func_def_2655,type,
    sK1662: vEBT_VEBT > nat ).

tff(func_def_2656,type,
    sK1663: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2657,type,
    sK1664: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2658,type,
    sK1665: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2659,type,
    sK1666: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2660,type,
    sK1667: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2661,type,
    sK1668: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2662,type,
    sK1669: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2663,type,
    sK1670: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2664,type,
    sK1671: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2665,type,
    sK1672: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_2666,type,
    sK1673: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_2667,type,
    sK1674: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_2668,type,
    sK1675: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_2669,type,
    sK1676: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_2670,type,
    sK1677: nat ).

tff(func_def_2671,type,
    sK1678: nat > nat ).

tff(func_def_2672,type,
    sK1679: nat ).

tff(func_def_2673,type,
    sK1680: ( fun_int_o * int ) > int ).

tff(func_def_2674,type,
    sK1681: ( fun_int_o * int ) > int ).

tff(func_def_2675,type,
    sK1682: ( int * fun_int_o ) > int ).

tff(func_def_2676,type,
    sK1683: ( int * fun_int_o ) > int ).

tff(func_def_2677,type,
    sK1684: int > int ).

tff(func_def_2678,type,
    sK1685: ( int * int ) > int ).

tff(func_def_2679,type,
    sK1686: fun_int_fun_int_o > int ).

tff(func_def_2680,type,
    sK1687: fun_int_fun_int_o > int ).

tff(func_def_2681,type,
    sK1688: fun_int_fun_int_o > int ).

tff(func_def_2682,type,
    sK1689: fun_int_fun_int_o > int ).

tff(func_def_2683,type,
    sK1690: fun_int_fun_int_o > int ).

tff(func_def_2684,type,
    sK1691: fun_int_fun_int_o > int ).

tff(func_def_2685,type,
    sK1692: int > int ).

tff(func_def_2686,type,
    sK1693: int > int ).

tff(func_def_2687,type,
    sK1694: fun_int_fun_int_o > int ).

tff(func_def_2688,type,
    sK1695: fun_int_fun_int_o > int ).

tff(func_def_2689,type,
    sK1696: fun_int_fun_int_o > int ).

tff(func_def_2690,type,
    sK1697: fun_int_fun_int_o > int ).

tff(func_def_2691,type,
    sK1698: int > int ).

tff(func_def_2692,type,
    sK1699: int > int ).

tff(func_def_2693,type,
    sK1700: int > int ).

tff(func_def_2694,type,
    sK1701: int > int ).

tff(func_def_2695,type,
    sK1702: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2696,type,
    sK1703: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2697,type,
    sK1704: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2698,type,
    sK1705: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2699,type,
    sK1706: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2700,type,
    sK1707: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2701,type,
    sK1708: int > int ).

tff(func_def_2702,type,
    sK1709: int > int ).

tff(func_def_2703,type,
    sK1710: int > int ).

tff(func_def_2704,type,
    sK1711: int > int ).

tff(func_def_2705,type,
    sK1712: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2706,type,
    sK1713: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2707,type,
    sK1714: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2708,type,
    sK1715: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2709,type,
    sK1716: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2710,type,
    sK1717: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2711,type,
    sK1718: int > int ).

tff(func_def_2712,type,
    sK1719: int > int ).

tff(func_def_2713,type,
    sK1720: int > int ).

tff(func_def_2714,type,
    sK1721: int > int ).

tff(func_def_2715,type,
    sK1722: ( int * int ) > int ).

tff(func_def_2716,type,
    sK1723: ( int * int ) > int ).

tff(func_def_2717,type,
    sK1724: ( int * int ) > int ).

tff(func_def_2718,type,
    sK1725: ( int * int ) > int ).

tff(func_def_2719,type,
    sK1726: ( int * fun_int_o ) > int ).

tff(func_def_2720,type,
    sK1727: fun_int_o > int ).

tff(func_def_2721,type,
    sK1728: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2722,type,
    sK1729: ( int * fun_int_o ) > int ).

tff(func_def_2723,type,
    sK1730: ( int * fun_int_o ) > int ).

tff(func_def_2724,type,
    sK1731: fun_int_o > int ).

tff(func_def_2725,type,
    sK1732: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2726,type,
    sK1733: ( int * fun_int_o ) > int ).

tff(func_def_2727,type,
    sK1734: ( int * fun_int_o ) > int ).

tff(func_def_2728,type,
    sK1735: fun_rat_rat > rat ).

tff(func_def_2729,type,
    sK1736: fun_rat_rat > rat ).

tff(func_def_2730,type,
    sK1737: fun_rat_rat > rat ).

tff(func_def_2731,type,
    sK1738: fun_rat_rat > rat ).

tff(func_def_2732,type,
    sK1739: fun_rat_rat > rat ).

tff(func_def_2733,type,
    sK1740: fun_rat_rat > rat ).

tff(func_def_2734,type,
    sK1741: fun_rat_rat > rat ).

tff(func_def_2735,type,
    sK1742: fun_rat_rat > rat ).

tff(func_def_2736,type,
    sK1743: ( rat * rat * rat ) > rat ).

tff(func_def_2737,type,
    sK1744: ( rat * rat * rat ) > rat ).

tff(func_def_2738,type,
    sK1745: ( rat * rat ) > rat ).

tff(func_def_2739,type,
    sK1746: ( rat * rat ) > rat ).

tff(func_def_2740,type,
    sK1747: fun_rat_rat > rat ).

tff(func_def_2741,type,
    sK1748: fun_rat_rat > rat ).

tff(func_def_2742,type,
    sK1749: fun_rat_rat > rat ).

tff(func_def_2743,type,
    sK1750: fun_rat_rat > rat ).

tff(func_def_2744,type,
    sK1751: fun_rat_rat > rat ).

tff(func_def_2745,type,
    sK1752: fun_rat_rat > rat ).

tff(func_def_2746,type,
    sK1753: fun_rat_rat > rat ).

tff(func_def_2747,type,
    sK1754: fun_rat_rat > rat ).

tff(func_def_2748,type,
    sK1755: fun_rat_fun_rat_o > rat ).

tff(func_def_2749,type,
    sK1756: fun_rat_fun_rat_o > rat ).

tff(func_def_2750,type,
    sK1757: fun_rat_fun_rat_o > rat ).

tff(func_def_2751,type,
    sK1758: fun_rat_fun_rat_o > rat ).

tff(func_def_2752,type,
    sK1759: fun_rat_fun_rat_o > rat ).

tff(func_def_2753,type,
    sK1760: ( rat * rat ) > rat ).

tff(func_def_2754,type,
    sK1761: rat > rat ).

tff(func_def_2755,type,
    sK1762: rat > rat ).

tff(func_def_2756,type,
    sK1763: fun_rat_rat > rat ).

tff(func_def_2757,type,
    sK1764: fun_rat_rat > rat ).

tff(func_def_2758,type,
    sK1765: fun_rat_rat > rat ).

tff(func_def_2759,type,
    sK1766: fun_rat_rat > rat ).

tff(func_def_2760,type,
    sK1767: fun_rat_rat > rat ).

tff(func_def_2761,type,
    sK1768: fun_rat_rat > rat ).

tff(func_def_2762,type,
    sK1769: fun_rat_rat > rat ).

tff(func_def_2763,type,
    sK1770: fun_rat_rat > rat ).

tff(func_def_2764,type,
    sK1771: fun_rat_fun_rat_o > rat ).

tff(func_def_2765,type,
    sK1772: fun_rat_fun_rat_o > rat ).

tff(func_def_2766,type,
    sK1773: fun_rat_fun_rat_o > rat ).

tff(func_def_2767,type,
    sK1774: fun_rat_fun_rat_o > rat ).

tff(func_def_2768,type,
    sK1775: rat > rat ).

tff(func_def_2769,type,
    sK1776: rat > rat ).

tff(func_def_2770,type,
    sK1777: rat > rat ).

tff(func_def_2771,type,
    sK1778: rat > rat ).

tff(func_def_2772,type,
    sK1779: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2773,type,
    sK1780: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2774,type,
    sK1781: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2775,type,
    sK1782: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2776,type,
    sK1783: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2777,type,
    sK1784: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2778,type,
    sK1785: rat > rat ).

tff(func_def_2779,type,
    sK1786: rat > rat ).

tff(func_def_2780,type,
    sK1787: rat > rat ).

tff(func_def_2781,type,
    sK1788: rat > rat ).

tff(func_def_2782,type,
    sK1789: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2783,type,
    sK1790: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2784,type,
    sK1791: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2785,type,
    sK1792: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2786,type,
    sK1793: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2787,type,
    sK1794: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2788,type,
    sK1795: rat > rat ).

tff(func_def_2789,type,
    sK1796: rat > rat ).

tff(func_def_2790,type,
    sK1797: rat > rat ).

tff(func_def_2791,type,
    sK1798: rat > rat ).

tff(func_def_2792,type,
    sK1799: ( rat * rat ) > rat ).

tff(func_def_2793,type,
    sK1800: ( rat * rat ) > rat ).

tff(func_def_2794,type,
    sK1801: rat > rat ).

tff(func_def_2795,type,
    sK1802: rat > rat ).

tff(func_def_2796,type,
    sK1803: ( rat * rat ) > rat ).

tff(func_def_2797,type,
    sK1804: rat > rat ).

tff(func_def_2798,type,
    sK1805: rat > rat ).

tff(func_def_2799,type,
    sK1806: ( int * int * int ) > int ).

tff(func_def_2800,type,
    sK1807: ( int * int * int ) > int ).

tff(func_def_2801,type,
    sK1808: ( int * int * int ) > int ).

tff(func_def_2802,type,
    sK1809: ( int * int * int ) > int ).

tff(func_def_2803,type,
    sK1810: ( int * fun_int_o ) > int ).

tff(func_def_2804,type,
    sK1811: ( int * fun_int_o ) > int ).

tff(func_def_2805,type,
    sK1812: ( fun_int_o * int ) > int ).

tff(func_def_2806,type,
    sK1813: ( fun_int_o * int ) > int ).

tff(func_def_2807,type,
    sK1814: ( int * fun_int_o ) > int ).

tff(func_def_2808,type,
    sK1815: ( int * fun_int_o ) > int ).

tff(func_def_2809,type,
    sK1816: ( fun_int_o * int ) > int ).

tff(func_def_2810,type,
    sK1817: ( fun_int_o * int ) > int ).

tff(func_def_2811,type,
    sK1818: ( int * int ) > int ).

tff(func_def_2812,type,
    sK1819: ( int * int ) > int ).

tff(func_def_2813,type,
    sK1820: ( fun_int_o * int * int ) > int ).

tff(func_def_2814,type,
    sK1821: ( fun_int_o * int * int ) > int ).

tff(func_def_2815,type,
    sK1822: ( fun_int_o * int * int ) > int ).

tff(func_def_2816,type,
    sK1823: ( fun_int_o * int * int ) > int ).

tff(func_def_2817,type,
    sK1824: ( fun_int_o * int ) > int ).

tff(func_def_2818,type,
    sK1825: ( fun_int_o * int ) > int ).

tff(func_def_2819,type,
    sK1826: int > int ).

tff(func_def_2820,type,
    sK1827: ( int * int ) > int ).

tff(func_def_2821,type,
    sK1828: ( int * int ) > int ).

tff(func_def_2822,type,
    sK1829: ( int * int * int ) > int ).

tff(func_def_2823,type,
    sK1830: fun_rat_fun_rat_o > rat ).

tff(func_def_2824,type,
    sK1831: ( rat * fun_rat_o ) > rat ).

tff(func_def_2825,type,
    sK1832: ( rat * fun_rat_o ) > rat ).

tff(func_def_2826,type,
    sK1833: ( fun_rat_o * rat ) > rat ).

tff(func_def_2827,type,
    sK1834: ( fun_rat_o * rat ) > rat ).

tff(func_def_2828,type,
    sK1835: ( rat * fun_rat_o ) > rat ).

tff(func_def_2829,type,
    sK1836: ( rat * fun_rat_o ) > rat ).

tff(func_def_2830,type,
    sK1837: ( fun_rat_o * rat ) > rat ).

tff(func_def_2831,type,
    sK1838: ( fun_rat_o * rat ) > rat ).

tff(func_def_2832,type,
    sK1839: real > int ).

tff(func_def_2833,type,
    sK1840: real > int ).

tff(func_def_2834,type,
    sK1841: real > real ).

tff(func_def_2835,type,
    sK1842: real > int ).

tff(func_def_2836,type,
    sK1843: ( real * real ) > real ).

tff(func_def_2837,type,
    sK1844: ( real * real ) > real ).

tff(func_def_2838,type,
    sK1845: ( real * real ) > real ).

tff(func_def_2839,type,
    sK1846: real > real ).

tff(func_def_2840,type,
    sK1847: ( real * real ) > real ).

tff(func_def_2841,type,
    sK1848: real > int ).

tff(func_def_2842,type,
    sK1849: real > real ).

tff(func_def_2843,type,
    sK1850: ( fun_real_real * real * real ) > real ).

tff(func_def_2844,type,
    sK1851: ( fun_real_real * real * real ) > real ).

tff(func_def_2845,type,
    sK1852: ( fun_real_real * real * real ) > real ).

tff(func_def_2846,type,
    sK1853: real > real ).

tff(func_def_2847,type,
    sK1854: ( fun_int_o * real ) > int ).

tff(func_def_2848,type,
    sK1855: ( fun_int_o * real ) > int ).

tff(func_def_2849,type,
    sK1856: real > int ).

tff(func_def_2850,type,
    sK1857: real > int ).

tff(func_def_2851,type,
    sK1858: real > int ).

tff(func_def_2852,type,
    sK1859: real > int ).

tff(func_def_2853,type,
    sK1860: real > int ).

tff(func_def_2854,type,
    sK1861: real > int ).

tff(func_def_2855,type,
    sK1862: real > int ).

tff(func_def_2856,type,
    sK1863: fun_int_real > int ).

tff(func_def_2857,type,
    sK1864: fun_int_real > int ).

tff(func_def_2858,type,
    sK1865: fun_int_real > int ).

tff(func_def_2859,type,
    sK1866: fun_int_real > int ).

tff(func_def_2860,type,
    sK1867: fun_int_real > int ).

tff(func_def_2861,type,
    sK1868: fun_int_real > int ).

tff(func_def_2862,type,
    sK1869: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2863,type,
    sK1870: ( nat * fun_nat_int ) > nat ).

tff(func_def_2864,type,
    sK1871: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2865,type,
    sK1872: ( nat * fun_nat_int ) > nat ).

tff(func_def_2866,type,
    sK1873: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_2867,type,
    sK1874: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2868,type,
    sK1875: fun_real_int > real ).

tff(func_def_2869,type,
    sK1876: fun_real_int > real ).

tff(func_def_2870,type,
    sK1877: fun_real_int > real ).

tff(func_def_2871,type,
    sK1878: fun_real_int > real ).

tff(func_def_2872,type,
    sK1879: fun_real_int > real ).

tff(func_def_2873,type,
    sK1880: fun_real_int > real ).

tff(func_def_2874,type,
    sK1881: ( fun_int_o * rat ) > int ).

tff(func_def_2875,type,
    sK1882: rat > int ).

tff(func_def_2876,type,
    sK1883: rat > nat ).

tff(func_def_2877,type,
    sK1884: rat > nat ).

tff(func_def_2878,type,
    sK1885: rat > nat ).

tff(func_def_2879,type,
    sK1886: ( rat * rat ) > nat ).

tff(func_def_2880,type,
    sK1887: rat > nat ).

tff(func_def_2881,type,
    sK1888: rat > nat ).

tff(func_def_2882,type,
    sK1889: fun_rat_int > rat ).

tff(func_def_2883,type,
    sK1890: fun_rat_int > rat ).

tff(func_def_2884,type,
    sK1891: fun_rat_int > rat ).

tff(func_def_2885,type,
    sK1892: fun_rat_int > rat ).

tff(func_def_2886,type,
    sK1893: fun_rat_int > rat ).

tff(func_def_2887,type,
    sK1894: fun_rat_int > rat ).

tff(func_def_2888,type,
    sK1895: fun_rat_int > rat ).

tff(func_def_2889,type,
    sK1896: fun_rat_int > rat ).

tff(func_def_2890,type,
    sK1897: fun_rat_int > rat ).

tff(func_def_2891,type,
    sK1898: fun_rat_int > rat ).

tff(func_def_2892,type,
    sK1899: fun_rat_int > rat ).

tff(func_def_2893,type,
    sK1900: fun_rat_int > rat ).

tff(func_def_2894,type,
    sK1901: fun_rat_int > rat ).

tff(func_def_2895,type,
    sK1902: fun_rat_int > rat ).

tff(func_def_2896,type,
    sK1903: fun_rat_int > rat ).

tff(func_def_2897,type,
    sK1904: fun_rat_int > rat ).

tff(func_def_2898,type,
    sK1905: ( fun_int_o * rat ) > int ).

tff(func_def_2899,type,
    sK1906: rat > int ).

tff(func_def_2900,type,
    sK1907: rat > int ).

tff(func_def_2901,type,
    sK1908: rat > int ).

tff(func_def_2902,type,
    sK1909: rat > int ).

tff(func_def_2903,type,
    sK1910: rat > int ).

tff(func_def_2904,type,
    sK1911: rat > int ).

tff(func_def_2905,type,
    sK1912: fun_int_rat > int ).

tff(func_def_2906,type,
    sK1913: fun_int_rat > int ).

tff(func_def_2907,type,
    sK1914: fun_int_rat > int ).

tff(func_def_2908,type,
    sK1915: fun_int_rat > int ).

tff(func_def_2909,type,
    sK1916: fun_int_rat > int ).

tff(func_def_2910,type,
    sK1917: fun_int_rat > int ).

tff(func_def_2911,type,
    sK1918: fun_int_rat > int ).

tff(func_def_2912,type,
    sK1919: fun_int_rat > int ).

tff(func_def_2913,type,
    sK1920: real ).

tff(func_def_2914,type,
    sK1921: ( real * real ) > real ).

tff(func_def_2915,type,
    sK1922: ( real * real ) > real ).

tff(func_def_2916,type,
    sK1923: complex > real ).

tff(func_def_2917,type,
    sK1924: ( complex * nat ) > nat ).

tff(func_def_2918,type,
    sK1925: ( int * int ) > nat ).

tff(func_def_2919,type,
    sK1926: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_2920,type,
    sK1927: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_2921,type,
    sK1928: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_2922,type,
    sK1929: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2923,type,
    sK1930: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2924,type,
    sK1931: code_integer > code_integer ).

tff(func_def_2925,type,
    sK1932: code_integer > code_integer ).

tff(func_def_2926,type,
    sK1933: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2927,type,
    sK1934: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2928,type,
    sK1935: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2929,type,
    sK1936: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2930,type,
    sK1937: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2931,type,
    sK1938: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2932,type,
    sK1939: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2933,type,
    sK1940: fun_num_rat > num ).

tff(func_def_2934,type,
    sK1941: fun_num_rat > num ).

tff(func_def_2935,type,
    sK1942: fun_num_rat > num ).

tff(func_def_2936,type,
    sK1943: fun_num_rat > num ).

tff(func_def_2937,type,
    sK1944: fun_num_rat > num ).

tff(func_def_2938,type,
    sK1945: fun_num_rat > num ).

tff(func_def_2939,type,
    sK1946: fun_num_rat > num ).

tff(func_def_2940,type,
    sK1947: fun_num_rat > num ).

tff(func_def_2941,type,
    sK1948: fun_num_rat > num ).

tff(func_def_2942,type,
    sK1949: fun_num_rat > num ).

tff(func_def_2943,type,
    sK1950: fun_num_rat > num ).

tff(func_def_2944,type,
    sK1951: fun_num_rat > num ).

tff(func_def_2945,type,
    sK1952: fun_num_rat > num ).

tff(func_def_2946,type,
    sK1953: fun_num_rat > num ).

tff(func_def_2947,type,
    sK1954: fun_num_rat > num ).

tff(func_def_2948,type,
    sK1955: fun_num_rat > num ).

tff(func_def_2949,type,
    sK1956: fun_num_rat > num ).

tff(func_def_2950,type,
    sK1957: fun_num_rat > num ).

tff(func_def_2951,type,
    sK1958: fun_num_real > num ).

tff(func_def_2952,type,
    sK1959: fun_num_real > num ).

tff(func_def_2953,type,
    sK1960: fun_num_int > num ).

tff(func_def_2954,type,
    sK1961: fun_num_int > num ).

tff(func_def_2955,type,
    sK1962: fun_num_nat > num ).

tff(func_def_2956,type,
    sK1963: fun_num_nat > num ).

tff(func_def_2957,type,
    sK1964: fun_num_num > num ).

tff(func_def_2958,type,
    sK1965: fun_num_num > num ).

tff(func_def_2959,type,
    sK1966: fun_num_real > num ).

tff(func_def_2960,type,
    sK1967: fun_num_real > num ).

tff(func_def_2961,type,
    sK1968: fun_num_int > num ).

tff(func_def_2962,type,
    sK1969: fun_num_int > num ).

tff(func_def_2963,type,
    sK1970: fun_num_nat > num ).

tff(func_def_2964,type,
    sK1971: fun_num_nat > num ).

tff(func_def_2965,type,
    sK1972: fun_num_num > num ).

tff(func_def_2966,type,
    sK1973: fun_num_num > num ).

tff(func_def_2967,type,
    sK1974: fun_num_real > num ).

tff(func_def_2968,type,
    sK1975: fun_num_real > num ).

tff(func_def_2969,type,
    sK1976: fun_num_real > num ).

tff(func_def_2970,type,
    sK1977: fun_num_real > num ).

tff(func_def_2971,type,
    sK1978: fun_num_real > num ).

tff(func_def_2972,type,
    sK1979: fun_num_real > num ).

tff(func_def_2973,type,
    sK1980: fun_num_fun_num_o > num ).

tff(func_def_2974,type,
    sK1981: fun_num_fun_num_o > num ).

tff(func_def_2975,type,
    sK1982: fun_num_fun_num_o > num ).

tff(func_def_2976,type,
    sK1983: fun_num_fun_num_o > num ).

tff(func_def_2977,type,
    sK1984: fun_num_fun_num_o > num ).

tff(func_def_2978,type,
    sK1985: fun_num_int > num ).

tff(func_def_2979,type,
    sK1986: fun_num_int > num ).

tff(func_def_2980,type,
    sK1987: fun_num_nat > num ).

tff(func_def_2981,type,
    sK1988: fun_num_nat > num ).

tff(func_def_2982,type,
    sK1989: fun_num_num > num ).

tff(func_def_2983,type,
    sK1990: fun_num_num > num ).

tff(func_def_2984,type,
    sK1991: fun_num_int > num ).

tff(func_def_2985,type,
    sK1992: fun_num_int > num ).

tff(func_def_2986,type,
    sK1993: fun_num_nat > num ).

tff(func_def_2987,type,
    sK1994: fun_num_nat > num ).

tff(func_def_2988,type,
    sK1995: fun_num_num > num ).

tff(func_def_2989,type,
    sK1996: fun_num_num > num ).

tff(func_def_2990,type,
    sK1997: fun_num_int > num ).

tff(func_def_2991,type,
    sK1998: fun_num_int > num ).

tff(func_def_2992,type,
    sK1999: fun_num_nat > num ).

tff(func_def_2993,type,
    sK2000: fun_num_nat > num ).

tff(func_def_2994,type,
    sK2001: fun_num_num > num ).

tff(func_def_2995,type,
    sK2002: fun_num_num > num ).

tff(func_def_2996,type,
    sK2003: fun_num_nat > num ).

tff(func_def_2997,type,
    sK2004: fun_num_nat > num ).

tff(func_def_2998,type,
    sK2005: fun_num_num > num ).

tff(func_def_2999,type,
    sK2006: fun_num_num > num ).

tff(func_def_3000,type,
    sK2007: fun_num_fun_num_o > num ).

tff(func_def_3001,type,
    sK2008: fun_num_fun_num_o > num ).

tff(func_def_3002,type,
    sK2009: fun_num_fun_num_o > num ).

tff(func_def_3003,type,
    sK2010: fun_num_fun_num_o > num ).

tff(func_def_3004,type,
    sK2011: num > num ).

tff(func_def_3005,type,
    sK2012: num > num ).

tff(func_def_3006,type,
    sK2013: num > num ).

tff(func_def_3007,type,
    sK2014: num > num ).

tff(func_def_3008,type,
    sK2015: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3009,type,
    sK2016: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3010,type,
    sK2017: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3011,type,
    sK2018: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3012,type,
    sK2019: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3013,type,
    sK2020: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3014,type,
    sK2021: num > num ).

tff(func_def_3015,type,
    sK2022: num > num ).

tff(func_def_3016,type,
    sK2023: num > num ).

tff(func_def_3017,type,
    sK2024: num > num ).

tff(func_def_3018,type,
    sK2025: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3019,type,
    sK2026: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3020,type,
    sK2027: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3021,type,
    sK2028: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3022,type,
    sK2029: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3023,type,
    sK2030: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3024,type,
    sK2031: num > num ).

tff(func_def_3025,type,
    sK2032: num > num ).

tff(func_def_3026,type,
    sK2033: num > num ).

tff(func_def_3027,type,
    sK2034: num > num ).

tff(func_def_3028,type,
    sK2035: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3029,type,
    sK2036: vEBT_VEBT > nat ).

tff(func_def_3030,type,
    sK2037: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3031,type,
    sK2038: ( set_nat * nat ) > nat ).

tff(func_def_3032,type,
    sK2039: ( nat * set_nat ) > nat ).

tff(func_def_3033,type,
    sK2040: ( set_nat * nat * nat ) > nat ).

tff(pred_def_1,type,
    bNF_re8654322613993568759_int_o: ( fun_int_fun_int_o * fun_fu6971708032831053102nt_o_o * fun_int_fun_int_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_o * fun_fu4208408993564413984_int_o * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_re1448341924010609215_nat_o: ( fun_nat_fun_nat_o * fun_fu7564235448449272366at_o_o * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_4,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_o * fun_fu9201817095025044880_nat_o * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_5,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_o * fun_fu5908277796454533188_int_o * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_6,type,
    bNF_re8699439704749558557nt_o_o: ( fun_Pr9018117161326028078_int_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_Pr3238374608701176162_int_o ) > $o ).

tff(pred_def_7,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr9018117161326028078_int_o * fun_fu5323616038969315652_int_o * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_8,type,
    bNF_re1494630372529172596at_o_o: ( fun_Pr7537129237977221859_rat_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_rat_o ) > $o ).

tff(pred_def_9,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr7537129237977221859_rat_o * fun_fu4306744791715064858_rat_o * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_10,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr4738963024209204295_int_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_11,type,
    bNF_re4195927319312321177_int_o: ( fun_Pr4738963024209204295_int_o * fun_fu9090758901314268781nt_o_o * fun_Pr2028404973800837934_nat_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_12,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_13,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr2028404973800837934_nat_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_14,type,
    bNF_re4103222659376994899_nat_o: ( fun_Pr2028404973800837934_nat_o * fun_fu9045186299510176150at_o_o * fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > $o ).

tff(pred_def_15,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_16,type,
    bNF_re6090955117988708457real_o: ( fun_fu1771228864347509049real_o * fun_fu7981297689148232565al_o_o * fun_fu6714665071556184448_rat_o * fun_real_fun_real_o ) > $o ).

tff(pred_def_17,type,
    bNF_re1162444993429354318l_real: ( fun_fu1771228864347509049real_o * fun_fu6910828598506988974real_o * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_18,type,
    bNF_re7504242029904815401at_o_o: ( fun_fu6714665071556184448_rat_o * fun_o_fun_o_o * fun_fun_nat_rat_o * fun_fun_nat_rat_o ) > $o ).

tff(pred_def_19,type,
    bNF_re769765379126235449at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu1950632212952468284_rat_o * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_20,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_21,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_22,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_23,type,
    has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_24,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_25,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_26,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_27,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_28,type,
    eventu1038000079068216329at_nat: ( fun_Pr4796943543331071514_nat_o * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_29,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_30,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_31,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_32,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_33,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_34,type,
    finite4001608067531595151d_enat: set_Extended_enat > $o ).

tff(pred_def_35,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_36,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_37,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_38,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_39,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat * set_nat ) > $o ).

tff(pred_def_40,type,
    inj_on_nat_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_41,type,
    inj_on_nat_char: ( fun_nat_char * set_nat ) > $o ).

tff(pred_def_42,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_43,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_44,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_45,type,
    quotie6870213296501934825t_real: ( fun_fu6714665071556184448_rat_o * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu1771228864347509049real_o ) > $o ).

tff(pred_def_46,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_47,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_48,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_49,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_50,type,
    ord_le2529575680413868914d_enat: ( set_Extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_51,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_52,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_53,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_54,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_55,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_56,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_57,type,
    ord_le4409593196786536943plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_58,type,
    ord_le674264225683014473enat_o: ( fun_Extended_enat_o * fun_Extended_enat_o ) > $o ).

tff(pred_def_59,type,
    ord_less_fun_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_60,type,
    ord_less_fun_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_61,type,
    ord_less_fun_real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_62,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_63,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_64,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_65,type,
    ord_le7203529160286727270d_enat: ( set_Extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_66,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_67,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_68,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_69,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_70,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_71,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_72,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_73,type,
    order_4130057895858720880d_enat: fun_Ex5852502975177633731d_enat > $o ).

tff(pred_def_74,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_75,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_77,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_78,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_79,type,
    vanishes: fun_nat_rat > $o ).

tff(pred_def_80,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_81,type,
    transp_fun_nat_rat: fun_fu6714665071556184448_rat_o > $o ).

tff(pred_def_82,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_83,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_84,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_85,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_86,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_87,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_88,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_89,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_90,type,
    vEBT_VEBT_greater: ( option_nat * option_nat ) > $o ).

tff(pred_def_91,type,
    vEBT_VEBT_less: ( option_nat * option_nat ) > $o ).

tff(pred_def_92,type,
    vEBT_VEBT_lesseq: ( option_nat * option_nat ) > $o ).

tff(pred_def_93,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_94,type,
    accp_P3113834385874906142um_num: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > $o ).

tff(pred_def_95,type,
    accp_P6183159247885693666d_enat: ( fun_Pr1263128411319240110enat_o * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_96,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_97,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_98,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_99,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_100,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_101,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_102,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_103,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_104,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_105,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_106,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_107,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_108,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_109,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_110,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_111,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_112,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_113,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_114,type,
    aa_fun_nat_nat_o: ( fun_fun_nat_nat_o * fun_nat_nat ) > $o ).

tff(pred_def_115,type,
    aa_fun_nat_rat_o: ( fun_fun_nat_rat_o * fun_nat_rat ) > $o ).

tff(pred_def_116,type,
    aa_fun_real_o_o: ( fun_fun_real_o_o * fun_real_o ) > $o ).

tff(pred_def_117,type,
    aa_fun_real_real_o: ( fun_fun_real_real_o * fun_real_real ) > $o ).

tff(pred_def_118,type,
    aa_fun175815717583936595_rat_o: ( fun_fu4846507671440591850_rat_o * fun_fu8328862064278946247at_rat ) > $o ).

tff(pred_def_119,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_120,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_121,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_122,type,
    member_Extended_enat: ( extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_123,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_124,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_125,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_126,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_127,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_128,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_129,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_130,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_131,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_132,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_133,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_134,type,
    iG122: ( num * complex * complex ) > $o ).

tff(pred_def_135,type,
    iG123: ( num * real * real ) > $o ).

tff(pred_def_136,type,
    iG124: ( num * rat * rat ) > $o ).

tff(pred_def_137,type,
    iG125: ( num * complex * complex ) > $o ).

tff(pred_def_138,type,
    iG126: ( num * real * real ) > $o ).

tff(pred_def_139,type,
    iG127: ( num * rat * rat ) > $o ).

tff(pred_def_140,type,
    iG134: ( complex * complex * complex ) > $o ).

tff(pred_def_141,type,
    iG135: ( real * real * real ) > $o ).

tff(pred_def_142,type,
    iG136: ( rat * rat * rat ) > $o ).

tff(pred_def_143,type,
    iG137: ( complex * complex * complex ) > $o ).

tff(pred_def_144,type,
    iG138: ( real * real * real ) > $o ).

tff(pred_def_145,type,
    iG139: ( rat * rat * rat ) > $o ).

tff(pred_def_146,type,
    iG144: ( real * real * real ) > $o ).

tff(pred_def_147,type,
    iG145: ( real * real * real ) > $o ).

tff(pred_def_148,type,
    iG146: ( rat * rat * rat ) > $o ).

tff(pred_def_149,type,
    iG147: ( rat * rat * rat ) > $o ).

tff(pred_def_150,type,
    iG148: ( real * real * real ) > $o ).

tff(pred_def_151,type,
    iG149: ( real * real * real ) > $o ).

tff(pred_def_152,type,
    iG150: ( rat * rat * rat ) > $o ).

tff(pred_def_153,type,
    iG151: ( rat * rat * rat ) > $o ).

tff(pred_def_154,type,
    iG152: ( complex * num * complex ) > $o ).

tff(pred_def_155,type,
    iG153: ( real * num * real ) > $o ).

tff(pred_def_156,type,
    iG154: ( rat * num * rat ) > $o ).

tff(pred_def_157,type,
    iG155: ( complex * num * complex ) > $o ).

tff(pred_def_158,type,
    iG156: ( real * num * real ) > $o ).

tff(pred_def_159,type,
    iG157: ( rat * num * rat ) > $o ).

tff(pred_def_160,type,
    iG167: ( real * real * real ) > $o ).

tff(pred_def_161,type,
    iG168: ( real * real * real ) > $o ).

tff(pred_def_162,type,
    iG169: ( rat * rat * rat ) > $o ).

tff(pred_def_163,type,
    iG170: ( rat * rat * rat ) > $o ).

tff(pred_def_164,type,
    iG171: ( real * real * real ) > $o ).

tff(pred_def_165,type,
    iG172: ( real * real * real ) > $o ).

tff(pred_def_166,type,
    iG173: ( rat * rat * rat ) > $o ).

tff(pred_def_167,type,
    iG174: ( rat * rat * rat ) > $o ).

tff(pred_def_168,type,
    iG175: ( real * num * real ) > $o ).

tff(pred_def_169,type,
    iG176: ( real * num * real ) > $o ).

tff(pred_def_170,type,
    iG177: ( rat * num * rat ) > $o ).

tff(pred_def_171,type,
    iG178: ( rat * num * rat ) > $o ).

tff(pred_def_172,type,
    iG179: ( real * num * real ) > $o ).

tff(pred_def_173,type,
    iG180: ( real * num * real ) > $o ).

tff(pred_def_174,type,
    iG181: ( rat * num * rat ) > $o ).

tff(pred_def_175,type,
    iG182: ( rat * num * rat ) > $o ).

tff(pred_def_176,type,
    iG186: ( real * num * real ) > $o ).

tff(pred_def_177,type,
    iG187: ( real * num * real ) > $o ).

tff(pred_def_178,type,
    iG188: ( rat * num * rat ) > $o ).

tff(pred_def_179,type,
    iG189: ( rat * num * rat ) > $o ).

tff(pred_def_180,type,
    iG190: ( real * num * real ) > $o ).

tff(pred_def_181,type,
    iG191: ( real * num * real ) > $o ).

tff(pred_def_182,type,
    iG192: ( rat * num * rat ) > $o ).

tff(pred_def_183,type,
    iG193: ( rat * num * rat ) > $o ).

tff(pred_def_184,type,
    iG204: ( num * real * real ) > $o ).

tff(pred_def_185,type,
    iG205: ( num * complex * complex ) > $o ).

tff(pred_def_186,type,
    iG206: ( num * rat * rat ) > $o ).

tff(pred_def_187,type,
    iG207: ( num * real * real ) > $o ).

tff(pred_def_188,type,
    iG208: ( num * complex * complex ) > $o ).

tff(pred_def_189,type,
    iG209: ( num * rat * rat ) > $o ).

tff(pred_def_190,type,
    iG210: ( real * real * real ) > $o ).

tff(pred_def_191,type,
    iG211: ( complex * complex * complex ) > $o ).

tff(pred_def_192,type,
    iG212: ( rat * rat * rat ) > $o ).

tff(pred_def_193,type,
    iG213: ( real * real * real ) > $o ).

tff(pred_def_194,type,
    iG214: ( complex * complex * complex ) > $o ).

tff(pred_def_195,type,
    iG215: ( rat * rat * rat ) > $o ).

tff(pred_def_196,type,
    iG218: ( real * real * real ) > $o ).

tff(pred_def_197,type,
    iG219: ( real * real * real ) > $o ).

tff(pred_def_198,type,
    iG220: ( rat * rat * rat ) > $o ).

tff(pred_def_199,type,
    iG221: ( rat * rat * rat ) > $o ).

tff(pred_def_200,type,
    iG222: ( real * real * real ) > $o ).

tff(pred_def_201,type,
    iG223: ( real * real * real ) > $o ).

tff(pred_def_202,type,
    iG224: ( rat * rat * rat ) > $o ).

tff(pred_def_203,type,
    iG225: ( rat * rat * rat ) > $o ).

tff(pred_def_204,type,
    iG226: ( real * num * real ) > $o ).

tff(pred_def_205,type,
    iG227: ( complex * num * complex ) > $o ).

tff(pred_def_206,type,
    iG228: ( rat * num * rat ) > $o ).

tff(pred_def_207,type,
    iG229: ( real * num * real ) > $o ).

tff(pred_def_208,type,
    iG230: ( complex * num * complex ) > $o ).

tff(pred_def_209,type,
    iG231: ( rat * num * rat ) > $o ).

tff(pred_def_210,type,
    iG241: ( real * real * real ) > $o ).

tff(pred_def_211,type,
    iG242: ( real * real * real ) > $o ).

tff(pred_def_212,type,
    iG243: ( rat * rat * rat ) > $o ).

tff(pred_def_213,type,
    iG244: ( rat * rat * rat ) > $o ).

tff(pred_def_214,type,
    iG245: ( real * real * real ) > $o ).

tff(pred_def_215,type,
    iG246: ( real * real * real ) > $o ).

tff(pred_def_216,type,
    iG247: ( rat * rat * rat ) > $o ).

tff(pred_def_217,type,
    iG248: ( rat * rat * rat ) > $o ).

tff(pred_def_218,type,
    iG249: ( real * num * real ) > $o ).

tff(pred_def_219,type,
    iG250: ( real * num * real ) > $o ).

tff(pred_def_220,type,
    iG251: ( rat * num * rat ) > $o ).

tff(pred_def_221,type,
    iG252: ( rat * num * rat ) > $o ).

tff(pred_def_222,type,
    iG253: ( real * num * real ) > $o ).

tff(pred_def_223,type,
    iG254: ( real * num * real ) > $o ).

tff(pred_def_224,type,
    iG255: ( rat * num * rat ) > $o ).

tff(pred_def_225,type,
    iG256: ( rat * num * rat ) > $o ).

tff(pred_def_226,type,
    iG264: ( real * num * real ) > $o ).

tff(pred_def_227,type,
    iG265: ( real * num * real ) > $o ).

tff(pred_def_228,type,
    iG266: ( rat * num * rat ) > $o ).

tff(pred_def_229,type,
    iG267: ( rat * num * rat ) > $o ).

tff(pred_def_230,type,
    iG268: ( real * num * real ) > $o ).

tff(pred_def_231,type,
    iG269: ( real * num * real ) > $o ).

tff(pred_def_232,type,
    iG270: ( rat * num * rat ) > $o ).

tff(pred_def_233,type,
    iG271: ( rat * num * rat ) > $o ).

tff(pred_def_234,type,
    iG481: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_235,type,
    iG482: ( nat * int * int ) > $o ).

tff(pred_def_236,type,
    iG483: ( nat * nat * nat ) > $o ).

tff(pred_def_237,type,
    iG484: ( nat * code_integer ) > $o ).

tff(pred_def_238,type,
    iG485: ( nat * int ) > $o ).

tff(pred_def_239,type,
    iG486: ( nat * nat ) > $o ).

tff(pred_def_240,type,
    iG676: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_241,type,
    iG677: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_242,type,
    iG678: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_243,type,
    iG679: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_244,type,
    iG680: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_245,type,
    iG710: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_246,type,
    iG712: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_247,type,
    iG714: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_248,type,
    iG716: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_249,type,
    iG718: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG719: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_251,type,
    iG720: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_252,type,
    iG721: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_253,type,
    iG722: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_254,type,
    iG723: ( nat * $o ) > $o ).

tff(pred_def_255,type,
    iG724: ( nat * $o * $o ) > $o ).

tff(pred_def_256,type,
    iG762: ( nat * $o ) > $o ).

tff(pred_def_257,type,
    iG763: ( nat * $o * $o ) > $o ).

tff(pred_def_258,type,
    iG768: ( nat * $o ) > $o ).

tff(pred_def_259,type,
    iG769: ( nat * $o * $o ) > $o ).

tff(pred_def_260,type,
    iG776: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_261,type,
    iG778: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_262,type,
    iG782: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_263,type,
    iG784: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_264,type,
    iG788: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_265,type,
    iG789: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_266,type,
    iG790: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_267,type,
    iG791: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_268,type,
    iG792: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_269,type,
    iG793: ( nat * $o ) > $o ).

tff(pred_def_270,type,
    iG794: ( nat * $o * $o ) > $o ).

tff(pred_def_271,type,
    iG798: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_272,type,
    iG799: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_273,type,
    iG800: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_274,type,
    iG801: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_275,type,
    iG802: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_276,type,
    iG803: ( nat * $o ) > $o ).

tff(pred_def_277,type,
    iG804: ( nat * $o * $o ) > $o ).

tff(pred_def_278,type,
    iG812: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_279,type,
    iG827: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_280,type,
    iG828: ( nat * $o ) > $o ).

tff(pred_def_281,type,
    iG829: ( nat * $o * $o ) > $o ).

tff(pred_def_282,type,
    iG833: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_283,type,
    iG834: ( nat * $o ) > $o ).

tff(pred_def_284,type,
    iG835: ( nat * $o * $o ) > $o ).

tff(pred_def_285,type,
    iG839: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_286,type,
    iG840: ( nat * $o ) > $o ).

tff(pred_def_287,type,
    iG841: ( nat * $o * $o ) > $o ).

tff(pred_def_288,type,
    iG887: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_289,type,
    iG888: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_290,type,
    iG889: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_291,type,
    iG890: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_292,type,
    iG891: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_293,type,
    iG892: ( nat * $o ) > $o ).

tff(pred_def_294,type,
    iG893: ( nat * $o * $o ) > $o ).

tff(pred_def_295,type,
    iG925: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_296,type,
    iG926: ( nat * $o ) > $o ).

tff(pred_def_297,type,
    iG927: ( nat * $o * $o ) > $o ).

tff(pred_def_298,type,
    iG933: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_299,type,
    iG934: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_300,type,
    iG935: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_301,type,
    iG936: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_302,type,
    iG937: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_303,type,
    iG938: ( nat * $o ) > $o ).

tff(pred_def_304,type,
    iG939: ( nat * $o * $o ) > $o ).

tff(pred_def_305,type,
    iG945: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_306,type,
    iG946: ( nat * $o ) > $o ).

tff(pred_def_307,type,
    iG947: ( nat * $o * $o ) > $o ).

tff(pred_def_308,type,
    iG956: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_309,type,
    iG962: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_310,type,
    iG964: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_311,type,
    iG970: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_312,type,
    iG972: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_313,type,
    iG982: ( int * int * int ) > $o ).

tff(pred_def_314,type,
    iG983: ( int * int * int ) > $o ).

tff(pred_def_315,type,
    iG1189: ( real * real * real ) > $o ).

tff(pred_def_316,type,
    iG1237: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_317,type,
    sP1242: ( fun_nat_o * nat * nat ) > $o ).

tff(pred_def_318,type,
    sP1243: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_319,type,
    sP1244: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_320,type,
    sP1245: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_321,type,
    sP1246: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_322,type,
    sP1247: ( nat * nat * nat ) > $o ).

tff(pred_def_323,type,
    sP1248: ( nat * nat * nat ) > $o ).

tff(pred_def_324,type,
    sP1249: ( nat * nat * nat ) > $o ).

tff(pred_def_325,type,
    sP1250: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_326,type,
    sP1251: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_327,type,
    sP1252: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_328,type,
    sP1253: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_329,type,
    sP1254: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_330,type,
    sP1255: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_331,type,
    sP1256: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_332,type,
    sP1257: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_333,type,
    sP1258: ( nat * fun_nat_o * nat ) > $o ).

tff(pred_def_334,type,
    sP1259: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_335,type,
    sP1260: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_336,type,
    sP1261: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_337,type,
    sP1262: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_338,type,
    sP1263: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_339,type,
    sP1264: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_340,type,
    sP1265: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_341,type,
    sP1266: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_342,type,
    sP1267: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_343,type,
    sP1268: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_344,type,
    sP1269: ( fun_real_fun_real_o * real * real ) > $o ).

tff(pred_def_345,type,
    sP1270: ( fun_int_o * int * int ) > $o ).

tff(pred_def_346,type,
    sP1271: ( fun_int_o * int * int ) > $o ).

tff(pred_def_347,type,
    sP1272: fun_int_o > $o ).

tff(pred_def_348,type,
    sP1273: ( fun_int_o * int ) > $o ).

tff(pred_def_349,type,
    sP1274: ( int * int * int ) > $o ).

tff(pred_def_350,type,
    sP1275: ( int * int * int ) > $o ).

tff(pred_def_351,type,
    sP1276: ( int * int * int ) > $o ).

tff(pred_def_352,type,
    sP1277: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_353,type,
    sP1278: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_354,type,
    sP1279: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_355,type,
    sP1280: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_356,type,
    sP1281: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_357,type,
    sP1282: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_358,type,
    sP1283: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_359,type,
    sP1284: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_360,type,
    sP1285: ( rat * rat * rat ) > $o ).

tff(pred_def_361,type,
    sP1286: ( rat * rat * rat ) > $o ).

tff(pred_def_362,type,
    sP1287: ( rat * rat * rat ) > $o ).

tff(pred_def_363,type,
    sP1288: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_364,type,
    sP1289: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_365,type,
    sP1290: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_366,type,
    sP1291: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_367,type,
    sP1292: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_368,type,
    sP1293: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_369,type,
    sP1294: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_370,type,
    sP1295: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_371,type,
    sP1296: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_372,type,
    sP1297: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_373,type,
    sP1298: ( fun_int_o * int * int ) > $o ).

tff(pred_def_374,type,
    sP1299: ( fun_int_o * int * int ) > $o ).

tff(pred_def_375,type,
    sP1300: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_376,type,
    sP1301: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_377,type,
    sP1302: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_378,type,
    sP1303: ( real * nat * real ) > $o ).

tff(pred_def_379,type,
    sP1304: ( num * num * num ) > $o ).

tff(pred_def_380,type,
    sP1305: ( num * num * num ) > $o ).

tff(pred_def_381,type,
    sP1306: ( num * num * num ) > $o ).

tff(pred_def_382,type,
    sP1307: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_383,type,
    sP1308: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_384,type,
    sP1309: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_385,type,
    sP1310: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_386,type,
    sP1311: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_387,type,
    sP1312: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_388,type,
    sP1313: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_389,type,
    sP1314: ( fun_num_o * fun_num_o ) > $o ).

tff(f1,axiom,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_bbbb) ).

tff(f3,axiom,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_aaaa) ).

tff(f6,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f50,axiom,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ~ 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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_verit__la__disequality) ).

tff(f10543,conjecture,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10544,negated_conjecture,
    ( ( ~ aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
    inference(negated_conjecture,[status(cth)],[f10543]) ).

tff(f12696,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    inference(flattening,[],[f10544]) ).

tff(f19762,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    inference(cnf_transformation,[],[f12696]) ).

tff(f20233,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f3]) ).

tff(f20235,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f1]) ).

tff(f20574,plain,
    ! [X0: nat,X1: nat] :
      ( ~ 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)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f50]) ).

tff(f24265,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    inference(cnf_transformation,[],[f6]) ).

tff(f31385,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),
    inference(forward_demodulation,[],[f20235,f24265]) ).

tff(f31386,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na)),
    inference(forward_demodulation,[],[f20233,f24265]) ).

tff(f31522,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na),
    inference(forward_demodulation,[],[f19762,f24265]) ).

tff(f33524,plain,
    ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na))
    | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na) ) ),
    inference(resolution,[],[f20574,f31385]) ).

tff(f33590,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na),
    inference(forward_subsumption_resolution,[],[f33524,f31386]) ).

tff(f33593,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f33590,f31522]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP246_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n018.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 12:37:38 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44  Running first-order theorem proving
% 0.13/0.45  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.18/4.71  % (2290708)Detected formulas, will run a generic FOF schedule.
% 23.18/4.71  % (2290829)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=632014147:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 23.18/4.71  % (2290833)dis-21_1_sil=8000:lcm=predicate:random_seed=3368862908: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)
% 23.18/4.71  % (2290832)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1959242048:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 23.18/4.71  % (2290828)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=3708487256:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 23.18/4.71  % (2290827)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=1304031559:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 23.18/4.71  % (2290831)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3605500831:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 23.18/4.71  % (2290830)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2703226505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 23.18/4.71  % (2290832)Instruction limit reached! 
% 23.18/4.71  % (2290832)------------------------------
% 23.18/4.71  % (2290832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.18/4.71  % (2290832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.18/4.71  % (2290832)CaDiCaL version: 2.1.3
% 23.18/4.71  % (2290832)Termination reason: Instruction limit
% 23.18/4.71  % (2290832)Termination phase: Property scanning
% 23.18/4.71  % (2290832)Time elapsed: 0.054 s
% 23.18/4.71  % (2290832)Peak memory usage: 94 MB
% 23.18/4.71  % (2290832)Instructions burned: 140 (million)
% 23.18/4.71  % (2290830)Instruction limit reached! 
% 23.18/4.71  % (2290830)------------------------------
% 23.18/4.71  % (2290830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.18/4.71  % (2290830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.18/4.71  % (2290830)CaDiCaL version: 2.1.3
% 23.18/4.71  % (2290830)Termination reason: Instruction limit
% 23.18/4.71  % (2290830)Termination phase: Property scanning
% 23.18/4.71  % (2290830)Time elapsed: 0.057 s
% 23.18/4.71  % (2290830)Peak memory usage: 97 MB
% 23.18/4.71  % (2290830)Instructions burned: 111 (million)
% 23.18/4.71  % (2290833)Instruction limit reached! 
% 23.18/4.71  % (2290833)------------------------------
% 23.18/4.71  % (2290833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.18/4.71  % (2290833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.18/4.71  % (2290833)CaDiCaL version: 2.1.3
% 23.18/4.71  % (2290833)Termination reason: Instruction limit
% 23.18/4.71  % (2290833)Termination phase: Property scanning
% 23.18/4.71  % (2290833)Time elapsed: 0.064 s
% 23.18/4.71  % (2290833)Peak memory usage: 97 MB
% 23.18/4.71  % (2290833)Instructions burned: 131 (million)
% 23.18/4.71  % (2290831)Instruction limit reached! 
% 23.18/4.71  % (2290831)------------------------------
% 23.18/4.71  % (2290831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.18/4.71  % (2290831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.18/4.71  % (2290831)CaDiCaL version: 2.1.3
% 23.18/4.71  % (2290831)Termination reason: Instruction limit
% 23.18/4.71  % (2290831)Termination phase: Property scanning
% 23.18/4.71  % (2290831)Time elapsed: 0.072 s
% 23.18/4.71  % (2290831)Peak memory usage: 97 MB
% 23.18/4.71  % (2290831)Instructions burned: 121 (million)
% 23.18/4.71  % (2290841)lrs+10_1_sil=8000:sp=occurrence:random_seed=1263020892:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 23.18/4.71  % (2290842)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1665045583:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 23.18/4.71  % (2290844)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=525077212:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 23.18/4.71  % (2290843)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1761187422:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 23.18/4.71  % (2290842)Instruction limit reached! 
% 34.04/6.22  % (2290842)------------------------------
% 34.04/6.22  % (2290842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290842)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290842)Termination reason: Instruction limit
% 34.04/6.22  % (2290842)Termination phase: Property scanning
% 34.04/6.22  % (2290842)Time elapsed: 0.061 s
% 34.04/6.22  % (2290842)Peak memory usage: 94 MB
% 34.04/6.22  % (2290842)Instructions burned: 157 (million)
% 34.04/6.22  % (2290844)Instruction limit reached! 
% 34.04/6.22  % (2290844)------------------------------
% 34.04/6.22  % (2290844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290844)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290844)Termination reason: Instruction limit
% 34.04/6.22  % (2290844)Termination phase: Initialization
% 34.04/6.22  % (2290844)Time elapsed: 0.143 s
% 34.04/6.22  % (2290844)Peak memory usage: 97 MB
% 34.04/6.22  % (2290844)Instructions burned: 248 (million)
% 34.04/6.22  % (2290841)Instruction limit reached! 
% 34.04/6.22  % (2290841)------------------------------
% 34.04/6.22  % (2290841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290841)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290841)Termination reason: Instruction limit
% 34.04/6.22  % (2290841)Termination phase: SInE selection
% 34.04/6.22  % (2290841)Time elapsed: 0.170 s
% 34.04/6.22  % (2290841)Peak memory usage: 97 MB
% 34.04/6.22  % (2290841)Instructions burned: 285 (million)
% 34.04/6.22  % (2290843)Instruction limit reached! 
% 34.04/6.22  % (2290843)------------------------------
% 34.04/6.22  % (2290843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290843)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290843)Termination reason: Instruction limit
% 34.04/6.22  % (2290843)Termination phase: SInE selection
% 34.04/6.22  % (2290843)Time elapsed: 0.258 s
% 34.04/6.22  % (2290843)Peak memory usage: 97 MB
% 34.04/6.22  % (2290843)Instructions burned: 326 (million)
% 34.04/6.22  % (2290849)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2249345393:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 34.04/6.22  % (2290865)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1630940952:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 34.04/6.22  % (2290864)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3343021958:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 34.04/6.22  % (2290865)Instruction limit reached! 
% 34.04/6.22  % (2290865)------------------------------
% 34.04/6.22  % (2290865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290865)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290865)Termination reason: Instruction limit
% 34.04/6.22  % (2290865)Termination phase: Property scanning
% 34.04/6.22  % (2290865)Time elapsed: 0.105 s
% 34.04/6.22  % (2290865)Peak memory usage: 97 MB
% 34.04/6.22  % (2290865)Instructions burned: 113 (million)
% 34.04/6.22  % (2290874)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3791230557:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 34.04/6.22  % (2290849)Instruction limit reached! 
% 34.04/6.22  % (2290849)------------------------------
% 34.04/6.22  % (2290849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290849)CaDiCaL version: 2.1.3
% 34.04/6.22  % (2290849)Termination reason: Instruction limit
% 34.04/6.22  % (2290849)Termination phase: SInE selection
% 34.04/6.22  % (2290849)Time elapsed: 0.256 s
% 34.04/6.22  % (2290849)Peak memory usage: 97 MB
% 34.04/6.22  % (2290849)Instructions burned: 294 (million)
% 34.04/6.22  % (2290874)Instruction limit reached! 
% 34.04/6.22  % (2290874)------------------------------
% 34.04/6.22  % (2290874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.04/6.22  % (2290874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.04/6.22  % (2290874)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290874)Termination reason: Instruction limit
% 25.96/9.56  % (2290874)Termination phase: Property scanning
% 25.96/9.56  % (2290874)Time elapsed: 0.117 s
% 25.96/9.56  % (2290874)Peak memory usage: 97 MB
% 25.96/9.56  % (2290874)Instructions burned: 128 (million)
% 25.96/9.56  % (2290883)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2325190253:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 25.96/9.56  % (2290886)lrs+10_1_sil=8000:sp=occurrence:random_seed=657237733:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 25.96/9.56  % (2290883)Instruction limit reached! 
% 25.96/9.56  % (2290883)------------------------------
% 25.96/9.56  % (2290883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290883)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290883)Termination reason: Instruction limit
% 25.96/9.56  % (2290883)Termination phase: Property scanning
% 25.96/9.56  % (2290883)Time elapsed: 0.093 s
% 25.96/9.56  % (2290883)Peak memory usage: 94 MB
% 25.96/9.56  % (2290883)Instructions burned: 114 (million)
% 25.96/9.56  % (2290887)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1287439990:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 25.96/9.56  % (2290894)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=896639204:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 25.96/9.56  % (2290887)Instruction limit reached! 
% 25.96/9.56  % (2290887)------------------------------
% 25.96/9.56  % (2290887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290887)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290887)Termination reason: Instruction limit
% 25.96/9.56  % (2290887)Termination phase: Naming
% 25.96/9.56  % (2290887)Time elapsed: 0.414 s
% 25.96/9.56  % (2290887)Peak memory usage: 101 MB
% 25.96/9.56  % (2290887)Instructions burned: 437 (million)
% 25.96/9.56  % (2290886)Instruction limit reached! 
% 25.96/9.56  % (2290886)------------------------------
% 25.96/9.56  % (2290886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290886)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290886)Termination reason: Instruction limit
% 25.96/9.56  % (2290886)Termination phase: Saturation
% 25.96/9.56  % (2290886)Time elapsed: 0.791 s
% 25.96/9.56  % (2290886)Peak memory usage: 106 MB
% 25.96/9.56  % (2290886)Instructions burned: 908 (million)
% 25.96/9.56  % (2290903)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2392306980:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 25.96/9.56  % (2290903)Instruction limit reached! 
% 25.96/9.56  % (2290903)------------------------------
% 25.96/9.56  % (2290903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290903)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290903)Termination reason: Instruction limit
% 25.96/9.56  % (2290903)Termination phase: Preprocessing 2
% 25.96/9.56  % (2290903)Time elapsed: 0.146 s
% 25.96/9.56  % (2290903)Peak memory usage: 97 MB
% 25.96/9.56  % (2290903)Instructions burned: 134 (million)
% 25.96/9.56  % (2290908)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2164936600:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 25.96/9.56  % (2290911)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=260646114:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 25.96/9.56  % (2290908)Instruction limit reached! 
% 25.96/9.56  % (2290908)------------------------------
% 25.96/9.56  % (2290908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290908)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290908)Termination reason: Instruction limit
% 25.96/9.56  % (2290908)Termination phase: Property scanning
% 25.96/9.56  % (2290908)Time elapsed: 0.567 s
% 25.96/9.56  % (2290908)Peak memory usage: 105 MB
% 25.96/9.56  % (2290908)Instructions burned: 593 (million)
% 25.96/9.56  % (2290917)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=104124349:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 25.96/9.56  % (2290864)Instruction limit reached! 
% 25.96/9.56  % (2290864)------------------------------
% 25.96/9.56  % (2290864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290864)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290864)Termination reason: Instruction limit
% 25.96/9.56  % (2290864)Termination phase: Saturation
% 25.96/9.56  % (2290864)Time elapsed: 2.383 s
% 25.96/9.56  % (2290864)Peak memory usage: 224 MB
% 25.96/9.56  % (2290864)Instructions burned: 2350 (million)
% 25.96/9.56  % (2290917)Instruction limit reached! 
% 25.96/9.56  % (2290917)------------------------------
% 25.96/9.56  % (2290917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290917)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290917)Termination reason: Instruction limit
% 25.96/9.56  % (2290917)Termination phase: Property scanning
% 25.96/9.56  % (2290917)Time elapsed: 0.102 s
% 25.96/9.56  % (2290917)Peak memory usage: 94 MB
% 25.96/9.56  % (2290917)Instructions burned: 125 (million)
% 25.96/9.56  % (2290919)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2713333527:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 25.96/9.56  % (2290920)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=490218604:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 25.96/9.56  % (2290919)Instruction limit reached! 
% 25.96/9.56  % (2290919)------------------------------
% 25.96/9.56  % (2290919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290919)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290919)Termination reason: Instruction limit
% 25.96/9.56  % (2290919)Termination phase: Property scanning
% 25.96/9.56  % (2290919)Time elapsed: 0.111 s
% 25.96/9.56  % (2290919)Peak memory usage: 94 MB
% 25.96/9.56  % (2290919)Instructions burned: 135 (million)
% 25.96/9.56  % (2290920)Refutation not found, incomplete strategy
% 25.96/9.56  % (2290920)------------------------------
% 25.96/9.56  % (2290920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290920)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290920)Termination reason: Refutation not found, incomplete strategy
% 25.96/9.56  % (2290920)Time elapsed: 0.086 s
% 25.96/9.56  % (2290920)Peak memory usage: 98 MB
% 25.96/9.56  % (2290920)Instructions burned: 80 (million)
% 25.96/9.56  % (2290925)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=85660362:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 25.96/9.56  % (2290920)------------------------------
% 25.96/9.56  % (2290920)------------------------------
% 25.96/9.56  % (2290925)Instruction limit reached! 
% 25.96/9.56  % (2290925)------------------------------
% 25.96/9.56  % (2290925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290925)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290925)Termination reason: Instruction limit
% 25.96/9.56  % (2290925)Termination phase: Saturation
% 25.96/9.56  % (2290925)Time elapsed: 0.400 s
% 25.96/9.56  % (2290925)Peak memory usage: 101 MB
% 25.96/9.56  % (2290925)Instructions burned: 432 (million)
% 25.96/9.56  % (2290927)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=1207841026:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 25.96/9.56  % (2290928)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=3769532907:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 25.96/9.56  % (2290928)Instruction limit reached! 
% 25.96/9.56  % (2290928)------------------------------
% 25.96/9.56  % (2290928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290928)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290928)Termination reason: Instruction limit
% 25.96/9.56  % (2290928)Termination phase: Property scanning
% 25.96/9.56  % (2290928)Time elapsed: 0.138 s
% 25.96/9.56  % (2290928)Peak memory usage: 97 MB
% 25.96/9.56  % (2290928)Instructions burned: 150 (million)
% 25.96/9.56  % (2290935)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4013472393:i=14155:bd=all_2946 on theBenchmark for (2946ds/14155Mi)
% 25.96/9.56  % (2290894)Instruction limit reached! 
% 25.96/9.56  % (2290894)------------------------------
% 25.96/9.56  % (2290894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290894)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290894)Termination reason: Instruction limit
% 25.96/9.56  % (2290894)Termination phase: Saturation
% 25.96/9.56  % (2290894)Time elapsed: 4.837 s
% 25.96/9.56  % (2290894)Peak memory usage: 275 MB
% 25.96/9.56  % (2290894)Instructions burned: 5202 (million)
% 25.96/9.56  % (2290945)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4108020737:i=667:av=off:fsr=off_2929 on theBenchmark for (2929ds/667Mi)
% 25.96/9.56  % (2290945)Instruction limit reached! 
% 25.96/9.56  % (2290945)------------------------------
% 25.96/9.56  % (2290945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290945)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290945)Termination reason: Instruction limit
% 25.96/9.56  % (2290945)Termination phase: Property scanning
% 25.96/9.56  % (2290945)Time elapsed: 0.604 s
% 25.96/9.56  % (2290945)Peak memory usage: 111 MB
% 25.96/9.56  % (2290945)Instructions burned: 667 (million)
% 25.96/9.56  % (2290911)First to succeed.
% 25.96/9.56  % (2290911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2290708"
% 25.96/9.56  % (2290949)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1909990075:s2a=on:i=185:s2at=1.8:fdi=4_2920 on theBenchmark for (2920ds/185Mi)
% 25.96/9.56  % (2290949)Instruction limit reached! 
% 25.96/9.56  % (2290949)------------------------------
% 25.96/9.56  % (2290949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/9.56  % (2290949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/9.56  % (2290949)CaDiCaL version: 2.1.3
% 25.96/9.56  % (2290949)Termination reason: Instruction limit
% 25.96/9.56  % (2290949)Termination phase: Unused predicate definition removal
% 25.96/9.56  % (2290949)Time elapsed: 0.181 s
% 25.96/9.56  % (2290949)Peak memory usage: 95 MB
% 25.96/9.56  % (2290949)Instructions burned: 185 (million)
% 25.96/9.56  % (2290911)Refutation found. Thanks to Tanya!
% 25.96/9.56  % SZS status Theorem for theBenchmark
% 25.96/9.56  % SZS output start Proof for theBenchmark
% See solution above
% 57.81/9.82  % (2290911)------------------------------
% 57.81/9.82  % (2290911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.81/9.82  % (2290911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.81/9.82  % (2290911)CaDiCaL version: 2.1.3
% 57.81/9.82  % (2290911)Termination reason: Refutation
% 57.81/9.82  % (2290911)Time elapsed: 4.948 s
% 57.81/9.82  % (2290911)Peak memory usage: 242 MB
% 57.81/9.82  % (2290911)Instructions burned: 5123 (million)
% 57.81/9.82  % (2290911)------------------------------
% 57.81/9.82  % (2290911)------------------------------
% 57.81/9.82  % (2290708)Success in time 8.675 s
% 57.81/9.82  % Vampire exiting
%------------------------------------------------------------------------------