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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP221_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 : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:36 AM UTC 2026

% Result   : Theorem 13.62s 4.03s
% Output   : Refutation 22.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   43 (  12 unt;   0 typ;   5 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   72 (  32   ~;  28   |;   4   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :  308 ( 307 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  716 ( 715 usr;   6 prp; 0-6 aty)
%            Number of functors    : 2234 (2234 usr; 484 con; 0-8 aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_6,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_7,type,
    produc9217583074051984497at_nat: $tType ).

tff(type_def_8,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_9,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_10,type,
    fun_fu7732904369943091395at_nat: $tType ).

tff(type_def_11,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_12,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_13,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_14,type,
    fun_fu1584491925252458057omplex: $tType ).

tff(type_def_15,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_16,type,
    fun_fu3275390434952296369_nat_o: $tType ).

tff(type_def_17,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_18,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_19,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_20,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_21,type,
    fun_co3732688428756473980omplex: $tType ).

tff(type_def_22,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_23,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_24,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_25,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_26,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_27,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_28,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_29,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_30,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_31,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_32,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_33,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_34,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_35,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_36,type,
    fun_Co8502721031311864414nteger: $tType ).

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

tff(type_def_38,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_39,type,
    fun_fu4528473944208963392omplex: $tType ).

tff(type_def_40,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_41,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_42,type,
    fun_fu3477889739401271834t_real: $tType ).

tff(type_def_43,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_44,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_45,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_46,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_47,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_48,type,
    fun_re6135230694098607860t_real: $tType ).

tff(type_def_49,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_50,type,
    fun_fu8064956510386623256t_real: $tType ).

tff(type_def_51,type,
    fun_re7819166435457029784t_real: $tType ).

tff(type_def_52,type,
    fun_fu4806068833880117316t_real: $tType ).

tff(type_def_53,type,
    fun_fu2115079063411676732t_real: $tType ).

tff(type_def_54,type,
    fun_fu4540635375566031512t_real: $tType ).

tff(type_def_55,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_56,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_57,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_58,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_59,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_60,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_61,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_62,type,
    fun_ra8505079968215247908at_rat: $tType ).

tff(type_def_63,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_64,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_65,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_66,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_67,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_68,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_69,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_70,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_71,type,
    fun_fu1994797156054922755_nat_o: $tType ).

tff(type_def_72,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_73,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_74,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_75,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_76,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_77,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_78,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_79,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_80,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_81,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_82,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_83,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_84,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_85,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_86,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_87,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_88,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_89,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_90,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_91,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_92,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_93,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_94,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_95,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_96,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_97,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_98,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_99,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_100,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_101,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_102,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_103,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_104,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_105,type,
    fun_Pr4050773816208733250omplex: $tType ).

tff(type_def_106,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_107,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_108,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_109,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_110,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_111,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_112,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_113,type,
    fun_Ex2441982661509597004d_enat: $tType ).

tff(type_def_114,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_115,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_116,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_117,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_118,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_119,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_120,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_121,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_122,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_123,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_124,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_125,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_126,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_127,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_128,type,
    fun_fu1358370060594899587plex_o: $tType ).

tff(type_def_129,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_130,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_131,type,
    fun_Pr672294278902479040t_real: $tType ).

tff(type_def_132,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_133,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_134,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_135,type,
    list_P8526636022914148096eger_o: $tType ).

tff(type_def_136,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_137,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_138,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_139,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_140,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_141,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_142,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_143,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_144,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_145,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_146,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_147,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_148,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_149,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_150,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_151,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_152,type,
    fun_fu9050450510664235267real_o: $tType ).

tff(type_def_153,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_154,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_155,type,
    fun_na5723442673449079972x_real: $tType ).

tff(type_def_156,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_157,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_158,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_159,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_160,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_161,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_162,type,
    fun_fu4001317426178549763_nat_o: $tType ).

tff(type_def_163,type,
    fun_fu3883539188510166275_int_o: $tType ).

tff(type_def_164,type,
    fun_re7681423839302404990l_real: $tType ).

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

tff(type_def_166,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_167,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_168,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_169,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_170,type,
    list_P3795440434834930179_o_int: $tType ).

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

tff(type_def_172,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_173,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

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

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

tff(type_def_178,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_179,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_189,type,
    fun_co8153928105989009288nteger: $tType ).

tff(type_def_190,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

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

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

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

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

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

tff(type_def_198,type,
    list_P4002435161011370285od_o_o: $tType ).

tff(type_def_199,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_216,type,
    fun_na8797796813480665199d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr1261947904930325089at_nat > fun_Pr4796943543331071514_nat_o ).

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

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

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: fun_rat_rat ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_complex_complex ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_real_real ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_nat_nat ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_int_int ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_Pr1261947904930325089at_nat > fun_fu3275390434952296369_nat_o ).

tff(func_def_12,type,
    aTP_Lamm_al: set_complex > fun_fu1358370060594899587plex_o ).

tff(func_def_13,type,
    aTP_Lamm_am: set_real > fun_fu9050450510664235267real_o ).

tff(func_def_14,type,
    aTP_Lamm_an: set_list_nat > fun_fu1994797156054922755_nat_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: set_nat > fun_fu4001317426178549763_nat_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_int > fun_fu3883539188510166275_int_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: complex > fun_complex_o ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_real_fun_real_o ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_nat_fun_nat_o ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_Co2081214437782444048eger_o ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_int_fun_int_o ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_rat_rat ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_complex_complex ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_real_real ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_int_int ).

tff(func_def_27,type,
    aTP_Lamm_ba: list_complex > fun_complex_o ).

tff(func_def_28,type,
    aTP_Lamm_bb: list_real > fun_real_o ).

tff(func_def_29,type,
    aTP_Lamm_bc: list_list_nat > fun_list_nat_o ).

tff(func_def_30,type,
    aTP_Lamm_bd: list_VEBT_VEBT > fun_VEBT_VEBT_o ).

tff(func_def_31,type,
    aTP_Lamm_be: list_o > fun_o_o ).

tff(func_def_32,type,
    aTP_Lamm_bf: list_nat > fun_nat_o ).

tff(func_def_33,type,
    aTP_Lamm_bg: list_int > fun_int_o ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_o ).

tff(func_def_35,type,
    aTP_Lamm_bi: rat > fun_nat_fun_rat_rat ).

tff(func_def_36,type,
    aTP_Lamm_bj: complex > fun_na1591161823130732966omplex ).

tff(func_def_37,type,
    aTP_Lamm_bk: real > fun_na6724076748692969250l_real ).

tff(func_def_38,type,
    aTP_Lamm_bl: int > fun_nat_fun_int_int ).

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

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

tff(func_def_41,type,
    aTP_Lamm_bo: complex > fun_na1591161823130732966omplex ).

tff(func_def_42,type,
    aTP_Lamm_bp: real > fun_na6724076748692969250l_real ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_re4238438383274954274t_real ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_re4238438383274954274t_real ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_nat_complex > fun_nat_complex ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_nat_real > fun_nat_real ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_real ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_re4238438383274954274t_real ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_nat_real > fun_nat_real ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_nat_complex > fun_co8378349014452122532t_real ).

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

tff(func_def_61,type,
    aTP_Lamm_ci: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_nat_complex > fun_nat_real ).

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

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

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

tff(func_def_69,type,
    aTP_Lamm_cq: fun_re4238438383274954274t_real ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_71,type,
    aTP_Lamm_cs: real > fun_fu7631928937237476593t_real ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_re4238438383274954274t_real ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_re4238438383274954274t_real ).

tff(func_def_74,type,
    aTP_Lamm_cv: complex > fun_nat_complex ).

tff(func_def_75,type,
    aTP_Lamm_cw: real > fun_fu6899955116716589935t_real ).

tff(func_def_76,type,
    aTP_Lamm_cx: complex > fun_fu40286998686754419omplex ).

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

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: nat > fun_fu40286998686754419omplex ).

tff(func_def_81,type,
    aTP_Lamm_dc: nat > fun_fu6899955116716589935t_real ).

tff(func_def_82,type,
    aTP_Lamm_dd: nat > fun_co3258106519541737638omplex ).

tff(func_def_83,type,
    aTP_Lamm_de: nat > fun_re4238438383274954274t_real ).

tff(func_def_84,type,
    aTP_Lamm_df: nat > fun_int_fun_nat_int ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_real ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_real > fun_nat_real ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_re4238438383274954274t_real ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_93,type,
    aTP_Lamm_do: real > fun_fu6899955116716589935t_real ).

tff(func_def_94,type,
    aTP_Lamm_dp: complex > fun_fu40286998686754419omplex ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_re4238438383274954274t_real ).

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

tff(func_def_97,type,
    aTP_Lamm_ds: fun_re4238438383274954274t_real ).

tff(func_def_98,type,
    aTP_Lamm_dt: complex > fun_nat_complex ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_re4238438383274954274t_real ).

tff(func_def_100,type,
    aTP_Lamm_dv: complex > fun_nat_complex ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_re4238438383274954274t_real ).

tff(func_def_102,type,
    aTP_Lamm_dx: complex > fun_nat_complex ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_re4238438383274954274t_real ).

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

tff(func_def_105,type,
    aTP_Lamm_ea: fun_re4238438383274954274t_real ).

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

tff(func_def_107,type,
    aTP_Lamm_ec: fun_re4238438383274954274t_real ).

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

tff(func_def_109,type,
    aTP_Lamm_ee: fun_re4238438383274954274t_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: complex > fun_nat_complex ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_re4238438383274954274t_real ).

tff(func_def_112,type,
    aTP_Lamm_eh: complex > fun_nat_complex ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_re4238438383274954274t_real ).

tff(func_def_114,type,
    aTP_Lamm_ej: complex > fun_nat_complex ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_re4238438383274954274t_real ).

tff(func_def_116,type,
    aTP_Lamm_el: complex > fun_nat_complex ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_re4238438383274954274t_real ).

tff(func_def_118,type,
    aTP_Lamm_en: complex > fun_nat_complex ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_complex_complex ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_rat_rat ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_real_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_int_int ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_nat_nat ).

tff(func_def_124,type,
    aTP_Lamm_et: complex > fun_real_o ).

tff(func_def_125,type,
    aTP_Lamm_eu: complex > fun_co6883864892131739507omplex ).

tff(func_def_126,type,
    aTP_Lamm_ev: complex > fun_co3258106519541737638omplex ).

tff(func_def_127,type,
    aTP_Lamm_ew: real > fun_re4756235295228751087t_real ).

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

tff(func_def_129,type,
    aTP_Lamm_ey: fun_complex_complex > fun_complex_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_fun_nat_nat ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_rat > fun_nat_rat ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_nat_rat > fun_nat_rat ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_nat_int > fun_nat_int ).

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

tff(func_def_137,type,
    aTP_Lamm_fg: fun_real_fun_real_o ).

tff(func_def_138,type,
    aTP_Lamm_fh: set_int > fun_set_int_o ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_rat_fun_rat_o ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_num_fun_num_o ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_nat_fun_nat_o ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_int_fun_int_o ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_nat_fun_nat_nat ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_nat_fun_nat_nat ).

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

tff(func_def_146,type,
    aTP_Lamm_fp: rat > fun_nat_rat ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_re4238438383274954274t_real ).

tff(func_def_148,type,
    aTP_Lamm_fr: nat > fun_nat_fun_nat_nat ).

tff(func_def_149,type,
    aTP_Lamm_fs: nat > fun_na3244735409550470327at_nat ).

tff(func_def_150,type,
    aTP_Lamm_ft: nat > fun_na3244735409550470327at_nat ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_nat_rat > fun_nat_rat ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_nat_int > fun_nat_int ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_nat_nat > fun_nat_nat ).

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

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_rat > fun_fu6228432884689642900at_rat ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_rat > fun_fu4710970720072501148at_rat ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_complex > fun_fu4528473944208963392omplex ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_nat_complex > fun_fu6652553491520710942omplex ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_nat_int > fun_fu1567874110255095356at_int ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_nat_int > fun_fu5519318738670804632at_int ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_nat_real > fun_fu8064956510386623256t_real ).

tff(func_def_165,type,
    aTP_Lamm_gi: complex > fun_nat_complex ).

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

tff(func_def_167,type,
    aTP_Lamm_gk: fun_re4238438383274954274t_real ).

tff(func_def_168,type,
    aTP_Lamm_gl: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_169,type,
    aTP_Lamm_gm: complex > fun_co6883864892131739507omplex ).

tff(func_def_170,type,
    aTP_Lamm_gn: int > fun_in6793278964266839919at_int ).

tff(func_def_171,type,
    aTP_Lamm_go: real > fun_re4756235295228751087t_real ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_fun_nat_nat ).

tff(func_def_176,type,
    aTP_Lamm_gt: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_177,type,
    aTP_Lamm_gu: complex > fun_co6883864892131739507omplex ).

tff(func_def_178,type,
    aTP_Lamm_gv: int > fun_in6793278964266839919at_int ).

tff(func_def_179,type,
    aTP_Lamm_gw: real > fun_re4756235295228751087t_real ).

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

tff(func_def_181,type,
    aTP_Lamm_gy: int > fun_nat_fun_nat_int ).

tff(func_def_182,type,
    aTP_Lamm_gz: real > fun_nat_fun_nat_real ).

tff(func_def_183,type,
    aTP_Lamm_ha: nat > fun_fu3593947265352647275omplex ).

tff(func_def_184,type,
    aTP_Lamm_hb: nat > fun_fu3593947265352647275omplex ).

tff(func_def_185,type,
    aTP_Lamm_hc: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_186,type,
    aTP_Lamm_hd: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_187,type,
    aTP_Lamm_he: nat > fun_fu960360787657196261at_int ).

tff(func_def_188,type,
    aTP_Lamm_hf: nat > fun_fu960360787657196261at_int ).

tff(func_def_189,type,
    aTP_Lamm_hg: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_190,type,
    aTP_Lamm_hh: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_191,type,
    aTP_Lamm_hi: nat > fun_fu1620311477532340197t_real ).

tff(func_def_192,type,
    aTP_Lamm_hj: nat > fun_fu1620311477532340197t_real ).

tff(func_def_193,type,
    aTP_Lamm_hk: nat > fun_co3732688428756473980omplex ).

tff(func_def_194,type,
    aTP_Lamm_hl: nat > fun_co3732688428756473980omplex ).

tff(func_def_195,type,
    aTP_Lamm_hm: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_196,type,
    aTP_Lamm_hn: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_197,type,
    aTP_Lamm_ho: nat > fun_re6135230694098607860t_real ).

tff(func_def_198,type,
    aTP_Lamm_hp: nat > fun_re6135230694098607860t_real ).

tff(func_def_199,type,
    aTP_Lamm_hq: complex > fun_co6883864892131739507omplex ).

tff(func_def_200,type,
    aTP_Lamm_hr: real > fun_re4756235295228751087t_real ).

tff(func_def_201,type,
    aTP_Lamm_hs: nat > fun_in1521351555827773387at_int ).

tff(func_def_202,type,
    aTP_Lamm_ht: nat > fun_co6147893885205795665omplex ).

tff(func_def_203,type,
    aTP_Lamm_hu: nat > fun_Co8502721031311864414nteger ).

tff(func_def_204,type,
    aTP_Lamm_hv: nat > fun_ra3995598502166916815at_rat ).

tff(func_def_205,type,
    aTP_Lamm_hw: nat > fun_re8542384036533109323t_real ).

tff(func_def_206,type,
    aTP_Lamm_hx: nat > fun_nat_complex ).

tff(func_def_207,type,
    aTP_Lamm_hy: nat > fun_nat_Code_integer ).

tff(func_def_208,type,
    aTP_Lamm_hz: nat > fun_nat_rat ).

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

tff(func_def_210,type,
    aTP_Lamm_ib: fun_nat_fun_nat_real ).

tff(func_def_211,type,
    aTP_Lamm_ic: nat > fun_nat_complex ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_nat_fun_nat_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_214,type,
    aTP_Lamm_if: nat > fun_co3732688428756473980omplex ).

tff(func_def_215,type,
    aTP_Lamm_ig: nat > fun_re6135230694098607860t_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_fun_nat_nat ).

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

tff(func_def_218,type,
    aTP_Lamm_ij: nat > fun_nat_Code_integer ).

tff(func_def_219,type,
    aTP_Lamm_ik: nat > fun_nat_rat ).

tff(func_def_220,type,
    aTP_Lamm_il: nat > fun_nat_int ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_fun_nat_real ).

tff(func_def_222,type,
    aTP_Lamm_in: nat > fun_nat_rat ).

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

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

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_fun_nat_real ).

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

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

tff(func_def_228,type,
    aTP_Lamm_it: nat > fun_nat_int ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_nat_fun_nat_real ).

tff(func_def_230,type,
    aTP_Lamm_iv: rat > fun_nat_rat ).

tff(func_def_231,type,
    aTP_Lamm_iw: complex > fun_nat_complex ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_re4238438383274954274t_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_fun_nat_o ).

tff(func_def_234,type,
    aTP_Lamm_iz: complex > fun_co6883864892131739507omplex ).

tff(func_def_235,type,
    aTP_Lamm_ja: complex > fun_co3258106519541737638omplex ).

tff(func_def_236,type,
    aTP_Lamm_jb: real > fun_re4756235295228751087t_real ).

tff(func_def_237,type,
    aTP_Lamm_jc: real > fun_re4238438383274954274t_real ).

tff(func_def_238,type,
    aTP_Lamm_jd: complex > fun_co6883864892131739507omplex ).

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

tff(func_def_240,type,
    aTP_Lamm_jf: real > fun_re4756235295228751087t_real ).

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

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

tff(func_def_243,type,
    aTP_Lamm_ji: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_250,type,
    aTP_Lamm_jp: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_251,type,
    aTP_Lamm_jq: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_252,type,
    aTP_Lamm_jr: fun_complex_rat > fun_fu2990765671291504771ex_rat ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_re4238438383274954274t_real ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_nat_real ).

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

tff(func_def_256,type,
    aTP_Lamm_jv: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_rat_fun_rat_o ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_num_fun_num_o ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_int_fun_int_o ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_real_fun_real_o ).

tff(func_def_262,type,
    aTP_Lamm_kb: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_Pr2602117396471556196at_nat > fun_fu7732904369943091395at_nat ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_nat_nat > fun_nat_fun_nat_nat ).

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

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

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

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

tff(func_def_269,type,
    aTP_Lamm_ki: nat > fun_co1148497455491383662plex_o ).

tff(func_def_270,type,
    aTP_Lamm_kj: nat > fun_complex_o ).

tff(func_def_271,type,
    aTP_Lamm_kk: rat > fun_ra5513060666784058567at_rat ).

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

tff(func_def_273,type,
    aTP_Lamm_km: complex > fun_co6883864892131739507omplex ).

tff(func_def_274,type,
    aTP_Lamm_kn: complex > fun_co6883864892131739507omplex ).

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

tff(func_def_276,type,
    aTP_Lamm_kp: int > fun_in6793278964266839919at_int ).

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

tff(func_def_278,type,
    aTP_Lamm_kr: real > fun_re4756235295228751087t_real ).

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

tff(func_def_280,type,
    aTP_Lamm_kt: complex > fun_na6632006986671646835omplex ).

tff(func_def_281,type,
    aTP_Lamm_ku: int > fun_na2382631619178260847at_int ).

tff(func_def_282,type,
    aTP_Lamm_kv: real > fun_na5225841814499866095t_real ).

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

tff(func_def_284,type,
    aTP_Lamm_kx: complex > fun_na6632006986671646835omplex ).

tff(func_def_285,type,
    aTP_Lamm_ky: int > fun_na2382631619178260847at_int ).

tff(func_def_286,type,
    aTP_Lamm_kz: real > fun_na5225841814499866095t_real ).

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

tff(func_def_288,type,
    aTP_Lamm_lb: complex > fun_na1142814060743658952omplex ).

tff(func_def_289,type,
    aTP_Lamm_lc: int > fun_nat_fun_nat_int ).

tff(func_def_290,type,
    aTP_Lamm_ld: real > fun_nat_fun_nat_real ).

tff(func_def_291,type,
    aTP_Lamm_le: real > fun_fu3477889739401271834t_real ).

tff(func_def_292,type,
    aTP_Lamm_lf: real > fun_fu5589980185390252312t_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: real > fun_fu4806068833880117316t_real ).

tff(func_def_294,type,
    aTP_Lamm_lh: real > fun_fu2115079063411676732t_real ).

tff(func_def_295,type,
    aTP_Lamm_li: real > fun_fu4540635375566031512t_real ).

tff(func_def_296,type,
    aTP_Lamm_lj: real > fun_fu6899955116716589935t_real ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_300,type,
    aTP_Lamm_ln: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_re4238438383274954274t_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: fun_nat_rat > fun_ra2740371568465858076at_rat ).

tff(func_def_305,type,
    aTP_Lamm_ls: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_nat_complex > fun_co3194742168270691230omplex ).

tff(func_def_307,type,
    aTP_Lamm_lu: nat > fun_fu1584491925252458057omplex ).

tff(func_def_308,type,
    aTP_Lamm_lv: fun_nat_int > fun_in281396392327853336at_int ).

tff(func_def_309,type,
    aTP_Lamm_lw: nat > fun_fu4902120768161409089at_int ).

tff(func_def_310,type,
    aTP_Lamm_lx: fun_nat_real > fun_re7819166435457029784t_real ).

tff(func_def_311,type,
    aTP_Lamm_ly: nat > fun_fu6810213084838398785t_real ).

tff(func_def_312,type,
    aTP_Lamm_lz: complex > fun_na1142814060743658952omplex ).

tff(func_def_313,type,
    aTP_Lamm_ma: real > fun_nat_fun_nat_real ).

tff(func_def_314,type,
    aTP_Lamm_mb: fun_re4238438383274954274t_real ).

tff(func_def_315,type,
    aTP_Lamm_mc: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_316,type,
    aTP_Lamm_md: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_317,type,
    aTP_Lamm_me: complex > fun_co6883864892131739507omplex ).

tff(func_def_318,type,
    aTP_Lamm_mf: complex > fun_co6883864892131739507omplex ).

tff(func_def_319,type,
    aTP_Lamm_mg: real > fun_re4756235295228751087t_real ).

tff(func_def_320,type,
    aTP_Lamm_mh: real > fun_re4756235295228751087t_real ).

tff(func_def_321,type,
    aTP_Lamm_mi: nat > fun_nat_complex ).

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

tff(func_def_323,type,
    aTP_Lamm_mk: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_325,type,
    aTP_Lamm_mm: fun_nat_fun_nat_nat > fun_nat_nat ).

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

tff(func_def_327,type,
    aTP_Lamm_mo: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_328,type,
    aTP_Lamm_mp: fun_nat_fun_nat_real > fun_nat_real ).

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

tff(func_def_330,type,
    aTP_Lamm_mr: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_332,type,
    aTP_Lamm_mt: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_333,type,
    aTP_Lamm_mu: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_334,type,
    aTP_Lamm_mv: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_335,type,
    aTP_Lamm_mw: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_336,type,
    aTP_Lamm_mx: fun_nat_complex > fun_nat_complex ).

tff(func_def_337,type,
    aTP_Lamm_my: fun_nat_rat > fun_nat_rat ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_nat_int > fun_nat_int ).

tff(func_def_339,type,
    aTP_Lamm_na: fun_nat_real > fun_nat_real ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_nat_rat > fun_nat_rat ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_int > fun_nat_int ).

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

tff(func_def_343,type,
    aTP_Lamm_ne: nat > fun_nat_complex ).

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

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_fun_nat_real ).

tff(func_def_346,type,
    aTP_Lamm_nh: rat > fun_rat_fun_nat_rat ).

tff(func_def_347,type,
    aTP_Lamm_ni: extended_enat > fun_Ex2441982661509597004d_enat ).

tff(func_def_348,type,
    aTP_Lamm_nj: complex > fun_co3258106519541737638omplex ).

tff(func_def_349,type,
    aTP_Lamm_nk: int > fun_int_fun_nat_int ).

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

tff(func_def_351,type,
    aTP_Lamm_nm: real > fun_re4238438383274954274t_real ).

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

tff(func_def_353,type,
    aTP_Lamm_no: code_integer > fun_Co6226381647958292740nteger ).

tff(func_def_354,type,
    aTP_Lamm_np: fun_nat_rat > fun_ra5513060666784058567at_rat ).

tff(func_def_355,type,
    aTP_Lamm_nq: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_nat_complex > fun_co6883864892131739507omplex ).

tff(func_def_357,type,
    aTP_Lamm_ns: nat > fun_fu1584491925252458057omplex ).

tff(func_def_358,type,
    aTP_Lamm_nt: fun_nat_int > fun_in6793278964266839919at_int ).

tff(func_def_359,type,
    aTP_Lamm_nu: nat > fun_fu4902120768161409089at_int ).

tff(func_def_360,type,
    aTP_Lamm_nv: fun_nat_real > fun_re4756235295228751087t_real ).

tff(func_def_361,type,
    aTP_Lamm_nw: nat > fun_fu6810213084838398785t_real ).

tff(func_def_362,type,
    aTP_Lamm_nx: rat > fun_nat_rat ).

tff(func_def_363,type,
    aTP_Lamm_ny: complex > fun_nat_complex ).

tff(func_def_364,type,
    aTP_Lamm_nz: fun_re4238438383274954274t_real ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_in1696471567231710611nt_int ).

tff(func_def_366,type,
    aTP_Lamm_ob: fun_na4138050610385705875at_nat ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_Co2470855966376689427nteger ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_real_fun_real_o ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_nat_nat ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_nat_int ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_int_int ).

tff(func_def_372,type,
    aTP_Lamm_oh: fun_in1696471567231710611nt_int ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_na4138050610385705875at_nat ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_Co2470855966376689427nteger ).

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

tff(func_def_376,type,
    aTP_Lamm_ol: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_378,type,
    aTP_Lamm_on: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_real_o ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_real_fun_real_o ).

tff(func_def_381,type,
    aTP_Lamm_oq: num > fun_na4138050610385705875at_nat ).

tff(func_def_382,type,
    aTP_Lamm_or: num > fun_in1696471567231710611nt_int ).

tff(func_def_383,type,
    aTP_Lamm_os: fun_real_o ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_real_fun_real_o ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_na4138050610385705875at_nat ).

tff(func_def_386,type,
    aTP_Lamm_ov: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_387,type,
    aTP_Lamm_ow: int > fun_int_fun_int_o ).

tff(func_def_388,type,
    aTP_Lamm_ox: int > fun_int_fun_int_o ).

tff(func_def_389,type,
    aTP_Lamm_oy: num > fun_Co2470855966376689427nteger ).

tff(func_def_390,type,
    aTP_Lamm_oz: fun_nat_o ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_nat_o ).

tff(func_def_392,type,
    aTP_Lamm_pb: real > fun_int_o ).

tff(func_def_393,type,
    aTP_Lamm_pc: fun_nat_fun_nat_nat ).

tff(func_def_394,type,
    aTP_Lamm_pd: fun_nat_fun_nat_nat ).

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

tff(func_def_396,type,
    aTP_Lamm_pf: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_397,type,
    aTP_Lamm_pg: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_398,type,
    aTP_Lamm_ph: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_399,type,
    aTP_Lamm_pi: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_400,type,
    aTP_Lamm_pj: fun_nat_o > fun_nat_fun_nat_o ).

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

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

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

tff(func_def_404,type,
    aTP_Lamm_pn: int > fun_int_fun_int_o ).

tff(func_def_405,type,
    aTP_Lamm_po: complex > fun_na1554462459066888140plex_o ).

tff(func_def_406,type,
    aTP_Lamm_pp: set_nat > fun_nat_fun_nat_o ).

tff(func_def_407,type,
    aTP_Lamm_pq: set_nat > fun_nat_fun_nat_o ).

tff(func_def_408,type,
    aTP_Lamm_pr: fun_Co3583066429914935172er_nat ).

tff(func_def_409,type,
    aTP_Lamm_ps: fun_Co1092983284983208416er_int ).

tff(func_def_410,type,
    aTP_Lamm_pt: nat > fun_na4143055713577223196at_nat ).

tff(func_def_411,type,
    aTP_Lamm_pu: fun_na1668100129766719005at_nat ).

tff(func_def_412,type,
    aTP_Lamm_pv: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_413,type,
    aTP_Lamm_pw: fun_na5914473681949881652_nat_o ).

tff(func_def_414,type,
    aTP_Lamm_px: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_na5914473681949881652_nat_o ).

tff(func_def_416,type,
    aTP_Lamm_pz: nat > fun_na4143055713577223196at_nat ).

tff(func_def_417,type,
    aTP_Lamm_qa: fun_na1668100129766719005at_nat ).

tff(func_def_418,type,
    aTP_Lamm_qb: nat > fun_na4143055713577223196at_nat ).

tff(func_def_419,type,
    aTP_Lamm_qc: fun_na1668100129766719005at_nat ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_fun_nat_o ).

tff(func_def_421,type,
    aTP_Lamm_qe: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_422,type,
    aTP_Lamm_qf: set_int > fun_int_o ).

tff(func_def_423,type,
    aTP_Lamm_qg: num > fun_num_int ).

tff(func_def_424,type,
    aTP_Lamm_qh: fun_num_option_num ).

tff(func_def_425,type,
    aTP_Lamm_qi: num > fun_nat_option_num ).

tff(func_def_426,type,
    aTP_Lamm_qj: fun_nat_option_num ).

tff(func_def_427,type,
    aTP_Lamm_qk: num > fun_nat_option_num ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_num_option_num ).

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

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

tff(func_def_431,type,
    aTP_Lamm_qo: num > fun_nat_option_num ).

tff(func_def_432,type,
    aTP_Lamm_qp: fun_na7595719129879163854on_num ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_real_o ).

tff(func_def_434,type,
    aTP_Lamm_qr: fun_nat_fun_nat_nat ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_real_o ).

tff(func_def_436,type,
    aTP_Lamm_qt: int > fun_int_int ).

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

tff(func_def_438,type,
    aTP_Lamm_qv: fun_nat_fun_nat_nat ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_na6724076748692969250l_real ).

tff(func_def_440,type,
    aTP_Lamm_qx: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_441,type,
    aTP_Lamm_qy: fun_na6724076748692969250l_real ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_re7681423839302404990l_real ).

tff(func_def_443,type,
    aTP_Lamm_ra: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_444,type,
    aTP_Lamm_rb: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_445,type,
    aTP_Lamm_rc: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

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

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

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

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

tff(func_def_450,type,
    aTP_Lamm_rh: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_451,type,
    aTP_Lamm_ri: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_452,type,
    aTP_Lamm_rj: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_454,type,
    aTP_Lamm_rl: nat > fun_fu3612569900928539882l_real ).

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

tff(func_def_456,type,
    aTP_Lamm_rn: fun_real_real ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_re4238438383274954274t_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_real_real ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_nat_real > fun_nat_real ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_nat_fun_nat_nat ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_nat_real ).

tff(func_def_462,type,
    aTP_Lamm_rt: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_nat_real > fun_nat_real ).

tff(func_def_464,type,
    aTP_Lamm_rv: fun_nat_real ).

tff(func_def_465,type,
    aTP_Lamm_rw: fun_re4238438383274954274t_real ).

tff(func_def_466,type,
    aTP_Lamm_rx: fun_nat_real ).

tff(func_def_467,type,
    aTP_Lamm_ry: fun_re4238438383274954274t_real ).

tff(func_def_468,type,
    aTP_Lamm_rz: real > fun_re4238438383274954274t_real ).

tff(func_def_469,type,
    aTP_Lamm_sa: fun_re4238438383274954274t_real ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_re4238438383274954274t_real ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_re4238438383274954274t_real ).

tff(func_def_472,type,
    aTP_Lamm_sd: fun_re4238438383274954274t_real ).

tff(func_def_473,type,
    aTP_Lamm_se: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_474,type,
    aTP_Lamm_sf: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_475,type,
    aTP_Lamm_sg: fun_nat_real > fun_nat_real ).

tff(func_def_476,type,
    aTP_Lamm_sh: fun_nat_real > fun_nat_real ).

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

tff(func_def_478,type,
    aTP_Lamm_sj: fun_nat_o > fun_nat_o ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_480,type,
    aTP_Lamm_sl: real > fun_real_fun_real_o ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_na6724076748692969250l_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_re7681423839302404990l_real ).

tff(func_def_483,type,
    aTP_Lamm_so: nat > fun_fu3077872570260440615l_real ).

tff(func_def_484,type,
    aTP_Lamm_sp: fun_re7681423839302404990l_real ).

tff(func_def_485,type,
    aTP_Lamm_sq: fun_real_real > fun_real_real ).

tff(func_def_486,type,
    aTP_Lamm_sr: fun_real_real > fun_real_real ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_nat_fun_nat_nat ).

tff(func_def_488,type,
    aTP_Lamm_st: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_489,type,
    aTP_Lamm_su: real > fun_real_fun_real_o ).

tff(func_def_490,type,
    aTP_Lamm_sv: fun_re5512370375968561900l_real ).

tff(func_def_491,type,
    aTP_Lamm_sw: real > fun_co1148497455491383662plex_o ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_re3844104906058862192omplex ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_nat_fun_nat_nat ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_nat_fun_nat_nat ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_Co8521658056209057742er_num ).

tff(func_def_496,type,
    aTP_Lamm_tb: nat > fun_nat_fun_nat_o ).

tff(func_def_497,type,
    aTP_Lamm_tc: nat > fun_nat_fun_nat_o ).

tff(func_def_498,type,
    aTP_Lamm_td: fun_nat_fun_nat_nat ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_nat_nat ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_int_fun_int_int ).

tff(func_def_501,type,
    aTP_Lamm_tg: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_502,type,
    aTP_Lamm_th: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_503,type,
    aTP_Lamm_ti: nat > fun_na7234455742697417626_nat_o ).

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

tff(func_def_505,type,
    aTP_Lamm_tk: nat > fun_nat_set_nat ).

tff(func_def_506,type,
    aTP_Lamm_tl: fun_nat_fun_nat_nat ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_Pr3238374608701176162_int_o ).

tff(func_def_508,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_509,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_510,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_511,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_512,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_513,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_514,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_515,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_516,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_517,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_518,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_519,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_520,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_521,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_522,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_523,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_524,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_525,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_526,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_527,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_528,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_529,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_530,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_531,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_532,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_533,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_534,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_535,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_536,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_537,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_538,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_539,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_540,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_541,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_542,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_543,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_544,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_545,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_546,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_547,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_548,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_549,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_550,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_551,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_552,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_553,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_554,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_555,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_556,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_557,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_558,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_559,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_560,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_o ).

tff(func_def_561,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_562,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_563,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_564,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_565,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_566,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_567,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_568,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_569,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_570,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_571,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_572,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_573,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_574,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_575,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_576,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_577,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_578,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_579,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_580,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_581,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_582,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_583,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_584,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_585,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_586,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_587,type,
    arg: fun_complex_real ).

tff(func_def_588,type,
    cis: fun_real_complex ).

tff(func_def_589,type,
    cnj: fun_complex_complex ).

tff(func_def_590,type,
    complex2: real > fun_real_complex ).

tff(func_def_591,type,
    im: fun_complex_real ).

tff(func_def_592,type,
    re: fun_complex_real ).

tff(func_def_593,type,
    csqrt: fun_complex_complex ).

tff(func_def_594,type,
    imaginary_unit: complex ).

tff(func_def_595,type,
    rcis: real > fun_real_complex ).

tff(func_def_596,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_597,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_598,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_599,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_600,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_601,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_602,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_603,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_604,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_605,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_606,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_607,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_608,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_609,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_610,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_611,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_612,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_613,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_614,type,
    semiri4449623510593786356d_enat: nat > extended_enat ).

tff(func_def_615,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_616,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_617,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_618,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_619,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_620,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_621,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_622,type,
    at_bot_real: filter_real ).

tff(func_def_623,type,
    at_top_nat: filter_nat ).

tff(func_def_624,type,
    at_top_real: filter_real ).

tff(func_def_625,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_626,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_627,type,
    finite_card_o: set_o > nat ).

tff(func_def_628,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_629,type,
    finite_card_int: set_int > nat ).

tff(func_def_630,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_631,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_632,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_633,type,
    finite_card_char: set_char > nat ).

tff(func_def_634,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_635,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_636,type,
    id_o: fun_o_o ).

tff(func_def_637,type,
    id_nat: fun_nat_nat ).

tff(func_def_638,type,
    map_fu898904425404107465nt_o_o: ( fun_ra4503298312962071866nt_int * fun_o_o * fun_Pr3238374608701176162_int_o ) > fun_rat_o ).

tff(func_def_639,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_640,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_641,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_642,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_643,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_644,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_645,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_646,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_647,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_648,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_649,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_650,type,
    abs_abs_int: fun_int_int ).

tff(func_def_651,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_652,type,
    abs_abs_real: fun_real_real ).

tff(func_def_653,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_654,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_655,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_656,type,
    minus_minus_int: int > fun_int_int ).

tff(func_def_657,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_658,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_659,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_660,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_661,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_662,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_663,type,
    minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_664,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_665,type,
    one_one_Code_integer: code_integer ).

tff(func_def_666,type,
    one_one_complex: complex ).

tff(func_def_667,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_668,type,
    one_one_int: int ).

tff(func_def_669,type,
    one_one_nat: nat ).

tff(func_def_670,type,
    one_one_rat: rat ).

tff(func_def_671,type,
    one_one_real: real ).

tff(func_def_672,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_673,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_674,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_675,type,
    plus_plus_int: int > fun_int_int ).

tff(func_def_676,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_677,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_678,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_679,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_680,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

tff(func_def_681,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_682,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_683,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_684,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_685,type,
    times_3573771949741848930nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_686,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_687,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_688,type,
    times_times_int: int > fun_int_int ).

tff(func_def_689,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_690,type,
    times_times_num: num > fun_num_num ).

tff(func_def_691,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_692,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_693,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_694,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_695,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_696,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_697,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_698,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_699,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_700,type,
    zero_zero_complex: complex ).

tff(func_def_701,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_702,type,
    zero_zero_int: int ).

tff(func_def_703,type,
    zero_zero_nat: nat ).

tff(func_def_704,type,
    zero_zero_rat: rat ).

tff(func_def_705,type,
    zero_zero_real: real ).

tff(func_def_706,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_707,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_708,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_709,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_710,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_711,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_712,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_713,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_714,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_715,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_716,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_717,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_718,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_719,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_720,type,
    groups7108830773950497114d_enat: ( fun_na8797796813480665199d_enat * set_nat ) > extended_enat ).

tff(func_def_721,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_722,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_723,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_724,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_725,type,
    groups6381953495645901045omplex: ( fun_Pr4050773816208733250omplex * set_Pr1261947904930325089at_nat ) > complex ).

tff(func_def_726,type,
    groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_727,type,
    groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_728,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_729,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_730,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_731,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_732,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_733,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_734,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_735,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_736,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_737,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_738,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_739,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_740,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_741,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_742,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_743,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_744,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_745,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_746,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_747,type,
    groups3417619833198082522nteger: ( fun_o_Code_integer * code_integer * list_o ) > code_integer ).

tff(func_def_748,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_749,type,
    groups9119017779487936845_o_nat: ( fun_o_nat * nat * list_o ) > nat ).

tff(func_def_750,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_751,type,
    the_int: fun_int_o > int ).

tff(func_def_752,type,
    the_real: fun_real_o > real ).

tff(func_def_753,type,
    abs_Integ: product_prod_nat_nat > int ).

tff(func_def_754,type,
    rep_Integ: int > product_prod_nat_nat ).

tff(func_def_755,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_756,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_757,type,
    nat2: fun_int_nat ).

tff(func_def_758,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_759,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_760,type,
    ring_1_Ints_int: set_int ).

tff(func_def_761,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_762,type,
    ring_1_Ints_real: set_real ).

tff(func_def_763,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_764,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_765,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_766,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_767,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_768,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_769,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_770,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_771,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_772,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_773,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_774,type,
    at_infinity_real: filter_real ).

tff(func_def_775,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_776,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_777,type,
    concat_o: list_list_o > list_o ).

tff(func_def_778,type,
    concat_int: list_list_int > list_int ).

tff(func_def_779,type,
    concat_nat: list_list_nat > list_nat ).

tff(func_def_780,type,
    concat_VEBT_VEBT: list_list_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_781,type,
    distinct_int: fun_list_int_o ).

tff(func_def_782,type,
    distinct_nat: fun_list_nat_o ).

tff(func_def_783,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_784,type,
    linord1735203802627413978nt_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_785,type,
    linord738340561235409698at_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_786,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_787,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_788,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_789,type,
    nil_int: list_int ).

tff(func_def_790,type,
    nil_nat: list_nat ).

tff(func_def_791,type,
    hd_nat: list_nat > nat ).

tff(func_def_792,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_793,type,
    set_o2: list_o > set_o ).

tff(func_def_794,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_795,type,
    set_int2: list_int > set_int ).

tff(func_def_796,type,
    set_list_o2: list_list_o > set_list_o ).

tff(func_def_797,type,
    set_list_int2: list_list_int > set_list_int ).

tff(func_def_798,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_799,type,
    set_list_VEBT_VEBT2: list_list_VEBT_VEBT > set_list_VEBT_VEBT ).

tff(func_def_800,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_801,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_802,type,
    set_real2: list_real > set_real ).

tff(func_def_803,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_804,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_805,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_806,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_807,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_808,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_809,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_810,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_811,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_812,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_813,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_814,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_815,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_816,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_817,type,
    nth_Pr8522763379788166057eger_o: ( list_P8526636022914148096eger_o * nat ) > produc6271795597528267376eger_o ).

tff(func_def_818,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_819,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_820,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_821,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_822,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_823,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_824,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_825,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_826,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_827,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_828,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_829,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_830,type,
    produc3607205314601156340eger_o: ( list_Code_integer * list_o ) > list_P8526636022914148096eger_o ).

tff(func_def_831,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_832,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_833,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_834,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_835,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_836,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_837,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_838,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_839,type,
    replicate_o: ( nat * $o ) > list_o ).

tff(func_def_840,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_841,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_842,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_843,type,
    replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_844,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_845,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_846,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_847,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_848,type,
    subseqs_o: list_o > list_list_o ).

tff(func_def_849,type,
    subseqs_int: list_int > list_list_int ).

tff(func_def_850,type,
    subseqs_nat: list_nat > list_list_nat ).

tff(func_def_851,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

tff(func_def_852,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_853,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_854,type,
    upto: ( int * int ) > list_int ).

tff(func_def_855,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_856,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_857,type,
    suc: fun_nat_nat ).

tff(func_def_858,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_859,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_860,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_861,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_862,type,
    pred: fun_nat_nat ).

tff(func_def_863,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_864,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_865,type,
    semiri4216267220026989637d_enat: fun_na8797796813480665199d_enat ).

tff(func_def_866,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_867,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_868,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_869,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_870,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_871,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_872,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_873,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_874,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_875,type,
    size_size_list_o: list_o > nat ).

tff(func_def_876,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_877,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_878,type,
    size_size_list_int: list_int > nat ).

tff(func_def_879,type,
    size_s2710708370519433104list_o: list_list_o > nat ).

tff(func_def_880,type,
    size_s533118279054570080st_int: list_list_int > nat ).

tff(func_def_881,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_882,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

tff(func_def_883,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_884,type,
    size_size_list_num: list_num > nat ).

tff(func_def_885,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_886,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_887,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

tff(func_def_888,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_889,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

tff(func_def_890,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_891,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_892,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_893,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_894,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_895,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_896,type,
    size_size_list_real: list_real > nat ).

tff(func_def_897,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_898,type,
    size_size_num: fun_num_nat ).

tff(func_def_899,type,
    size_size_option_num: option_num > nat ).

tff(func_def_900,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_901,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_902,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_903,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_904,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_905,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_906,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_907,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_908,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_909,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_910,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_911,type,
    sqrt: fun_real_real ).

tff(func_def_912,type,
    bitM: fun_num_num ).

tff(func_def_913,type,
    inc: fun_num_num ).

tff(func_def_914,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_915,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_916,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_917,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_918,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_919,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_920,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_921,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_922,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_923,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_924,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_925,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_926,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_927,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_928,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_929,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_930,type,
    bit0: fun_num_num ).

tff(func_def_931,type,
    bit1: fun_num_num ).

tff(func_def_932,type,
    one: num ).

tff(func_def_933,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_934,type,
    size_num: fun_num_nat ).

tff(func_def_935,type,
    num_of_nat: fun_nat_num ).

tff(func_def_936,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_937,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_938,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_939,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_940,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_941,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_942,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_943,type,
    pow: num > fun_num_num ).

tff(func_def_944,type,
    pred_numeral: fun_num_nat ).

tff(func_def_945,type,
    sqr: fun_num_num ).

tff(func_def_946,type,
    none_num: option_num ).

tff(func_def_947,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_948,type,
    some_num: num > option_num ).

tff(func_def_949,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_950,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_951,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_952,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_953,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_954,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_955,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_956,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_957,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_958,type,
    bot_bot_nat: nat ).

tff(func_def_959,type,
    bot_bot_set_int: set_int ).

tff(func_def_960,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_961,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_962,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_963,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_964,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_965,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_966,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_967,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_968,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_969,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_970,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_971,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_972,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_973,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_974,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_975,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_976,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_977,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_978,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_979,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_980,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_981,type,
    top_top_set_o: set_o ).

tff(func_def_982,type,
    top_top_set_nat: set_nat ).

tff(func_def_983,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_984,type,
    top_top_set_real: set_real ).

tff(func_def_985,type,
    top_top_set_char: set_char ).

tff(func_def_986,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_987,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_988,type,
    power_8040749407984259932d_enat: ( extended_enat * nat ) > extended_enat ).

tff(func_def_989,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_990,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_991,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_992,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_993,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_994,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_995,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_996,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_997,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_998,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_999,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_1000,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1001,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1002,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_1003,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_1004,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1005,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_1006,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1007,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1008,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1009,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_1010,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_1011,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1012,type,
    produc6499014454317279255nteger: ( fun_Co8499238673658658103nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1013,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1014,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1015,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1016,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_1017,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1018,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_1019,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1020,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_1021,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1022,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1023,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1024,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1025,type,
    produc6395135316500328296_nat_o: ( fun_na5914473681949881652_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1026,type,
    produc4528391901023682385at_nat: ( fun_na1668100129766719005at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1027,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1028,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_1029,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1030,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1031,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_1032,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1033,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1034,type,
    fract: int > fun_int_rat ).

tff(func_def_1035,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1036,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1037,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_1038,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1039,type,
    positive: fun_rat_o ).

tff(func_def_1040,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1041,type,
    real_V470468836141973256s_real: set_real ).

tff(func_def_1042,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1043,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1044,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1045,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1046,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1047,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1048,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1049,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1050,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1051,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1052,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_1053,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1054,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1055,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1056,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_1057,type,
    dvd_dvd_complex: complex > fun_complex_o ).

tff(func_def_1058,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_1059,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_1060,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_1061,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_1062,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1063,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1064,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1065,type,
    zero_n356916108424825756nteger: fun_o_Code_integer ).

tff(func_def_1066,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_1067,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_1068,type,
    zero_n2687167440665602831ol_nat: fun_o_nat ).

tff(func_def_1069,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_1070,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_1071,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1072,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1073,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1074,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1075,type,
    sums_complex: fun_nat_complex > fun_complex_o ).

tff(func_def_1076,type,
    sums_int: fun_nat_int > fun_int_o ).

tff(func_def_1077,type,
    sums_nat: fun_nat_nat > fun_nat_o ).

tff(func_def_1078,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_1079,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_1080,type,
    collect_Code_integer: fun_Code_integer_o > set_Code_integer ).

tff(func_def_1081,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_1082,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_1083,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_1084,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_1085,type,
    collect_num: fun_num_o > set_num ).

tff(func_def_1086,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_1087,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_1088,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_1089,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_1090,type,
    collect_rat: fun_rat_o > set_rat ).

tff(func_def_1091,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_1092,type,
    collect_set_int: fun_set_int_o > set_set_int ).

tff(func_def_1093,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_o > set_VEBT_VEBT ).

tff(func_def_1094,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1095,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1096,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1097,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1098,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1099,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1100,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1101,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1102,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1103,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1104,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1105,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1106,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1107,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1108,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1109,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1110,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1111,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1112,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1113,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1114,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1115,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1116,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_1117,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1118,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1119,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1120,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1121,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1122,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1123,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1124,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1125,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1126,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

tff(func_def_1127,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1128,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1129,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1130,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1131,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1132,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1133,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1134,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1135,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1136,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1137,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1138,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1139,type,
    ascii_of: char > char ).

tff(func_def_1140,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1141,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1142,type,
    integer_of_char: char > code_integer ).

tff(func_def_1143,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1144,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1145,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1146,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1147,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1148,type,
    arccos: fun_real_real ).

tff(func_def_1149,type,
    arcosh_real: fun_real_real ).

tff(func_def_1150,type,
    arcsin: fun_real_real ).

tff(func_def_1151,type,
    arctan: fun_real_real ).

tff(func_def_1152,type,
    arsinh_real: fun_real_real ).

tff(func_def_1153,type,
    artanh_real: fun_real_real ).

tff(func_def_1154,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1155,type,
    cos_real: fun_real_real ).

tff(func_def_1156,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1157,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1158,type,
    cosh_real: fun_real_real ).

tff(func_def_1159,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1160,type,
    cot_real: fun_real_real ).

tff(func_def_1161,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1162,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1163,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1164,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1165,type,
    exp_real: fun_real_real ).

tff(func_def_1166,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1167,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1168,type,
    pi: real ).

tff(func_def_1169,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1170,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1171,type,
    sin_real: fun_real_real ).

tff(func_def_1172,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1173,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1174,type,
    sinh_real: fun_real_real ).

tff(func_def_1175,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1176,type,
    tan_real: fun_real_real ).

tff(func_def_1177,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1178,type,
    tanh_real: fun_real_real ).

tff(func_def_1179,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1180,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1181,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1182,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1183,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1184,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1185,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1186,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1187,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1188,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1189,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1190,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1191,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1192,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1193,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1194,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1195,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1196,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1197,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1198,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_1199,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1200,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1201,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1202,type,
    aa_o_Code_integer: ( fun_o_Code_integer * $o ) > code_integer ).

tff(func_def_1203,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1204,type,
    aa_o_nat: ( fun_o_nat * $o ) > nat ).

tff(func_def_1205,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1206,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1207,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1208,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1209,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1210,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1211,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1212,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1213,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1214,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1215,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1216,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1217,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1218,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1219,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1220,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1221,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1222,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1223,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1224,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1225,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1226,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1227,type,
    aa_com177695874307951165omplex: ( fun_co3732688428756473980omplex * complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1228,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1229,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1230,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1231,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1232,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1233,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1234,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1235,type,
    aa_Ext1337733060012393797d_enat: ( fun_Ex2441982661509597004d_enat * extended_enat ) > fun_na8797796813480665199d_enat ).

tff(func_def_1236,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1237,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1238,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1239,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1240,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1241,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1242,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1243,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1244,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1245,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1246,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1247,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1248,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1249,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1250,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1251,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1252,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1253,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1254,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1255,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1256,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1257,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1258,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1259,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1260,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1261,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1262,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1263,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1264,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1265,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1266,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1267,type,
    aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).

tff(func_def_1268,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1269,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1270,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1271,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1272,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1273,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1274,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1275,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1276,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1277,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1278,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1279,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1280,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1281,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1282,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1283,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1284,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1285,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1286,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1287,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1288,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1289,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1290,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1291,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1292,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1293,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1294,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1295,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1296,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1297,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1298,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1299,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1300,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1301,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1302,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1303,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1304,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1305,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_1306,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1307,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_1308,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1309,type,
    aa_Pro82899191565270131omplex: ( fun_Pr4050773816208733250omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1310,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1311,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1312,type,
    aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).

tff(func_def_1313,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1314,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1315,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1316,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1317,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1318,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1319,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1320,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1321,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1322,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1323,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1324,type,
    aa_rat7467449789483521253at_rat: ( fun_ra8505079968215247908at_rat * rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1325,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1326,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1327,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1328,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1329,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1330,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1331,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1332,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1333,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1334,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1335,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1336,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1337,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1338,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1339,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1340,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1341,type,
    aa_rea1729780184207679413t_real: ( fun_re6135230694098607860t_real * real ) > fun_re8542384036533109323t_real ).

tff(func_def_1342,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1343,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1344,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1345,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1346,type,
    aa_fun2514317545224092796plex_o: ( fun_fu1358370060594899587plex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_1347,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1348,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1349,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1350,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1351,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1352,type,
    aa_fun6243517787477317628_int_o: ( fun_fu3883539188510166275_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_1353,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1354,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1355,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1356,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1357,type,
    aa_fun6155608546934989052_nat_o: ( fun_fu1994797156054922755_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_1358,type,
    aa_fun5937193402907943164_nat_o: ( fun_fu4001317426178549763_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1359,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1360,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1361,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1362,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1363,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1364,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1365,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1366,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_1367,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_1368,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1369,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1370,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_1371,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1372,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1373,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1374,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1375,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1376,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1377,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1378,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1379,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1380,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1381,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1382,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1383,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_1384,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_1385,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1386,type,
    aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).

tff(func_def_1387,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_1388,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_1389,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_1390,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1391,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1392,type,
    aa_fun359341089595923442_nat_o: ( fun_fu3275390434952296369_nat_o * fun_Pr4796943543331071514_nat_o ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1393,type,
    aa_fun2351638177499875132at_nat: ( fun_fu7732904369943091395at_nat * fun_Pr2602117396471556196at_nat ) > fun_Pr2602117396471556196at_nat ).

tff(func_def_1394,type,
    aa_fun5868358341814070780real_o: ( fun_fu9050450510664235267real_o * fun_real_o ) > fun_real_o ).

tff(func_def_1395,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1396,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1397,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1398,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1399,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1400,type,
    deg: nat ).

tff(func_def_1401,type,
    info: option4927543243414619207at_nat ).

tff(func_def_1402,type,
    m: nat ).

tff(func_def_1403,type,
    ma: nat ).

tff(func_def_1404,type,
    mi: nat ).

tff(func_def_1405,type,
    n: nat ).

tff(func_def_1406,type,
    na: nat ).

tff(func_def_1407,type,
    summary: vEBT_VEBT ).

tff(func_def_1408,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1409,type,
    x: nat ).

tff(func_def_1410,type,
    pos0: nat ).

tff(func_def_1411,type,
    pos1: nat ).

tff(func_def_1412,type,
    pos2: nat ).

tff(func_def_1413,type,
    pos3: nat ).

tff(func_def_1414,type,
    m24: rat ).

tff(func_def_1415,type,
    m25: extended_enat ).

tff(func_def_1416,type,
    m26: complex ).

tff(func_def_1417,type,
    m27: real ).

tff(func_def_1418,type,
    m28: nat ).

tff(func_def_1419,type,
    m29: int ).

tff(func_def_1420,type,
    m210: rat ).

tff(func_def_1421,type,
    m211: extended_enat ).

tff(func_def_1422,type,
    m212: complex ).

tff(func_def_1423,type,
    m213: real ).

tff(func_def_1424,type,
    m214: nat ).

tff(func_def_1425,type,
    m215: int ).

tff(func_def_1426,type,
    w16: complex ).

tff(func_def_1427,type,
    w17: real ).

tff(func_def_1428,type,
    w18: nat ).

tff(func_def_1429,type,
    w19: int ).

tff(func_def_1430,type,
    w20: complex ).

tff(func_def_1431,type,
    w21: real ).

tff(func_def_1432,type,
    w22: nat ).

tff(func_def_1433,type,
    w23: int ).

tff(func_def_1434,type,
    d24: int ).

tff(func_def_1435,type,
    l25: code_integer ).

tff(func_def_1436,type,
    l26: int ).

tff(func_def_1437,type,
    pos27: nat ).

tff(func_def_1438,type,
    pos28: nat ).

tff(func_def_1439,type,
    pos29: nat ).

tff(func_def_1440,type,
    pos30: nat ).

tff(func_def_1441,type,
    pos31: nat ).

tff(func_def_1442,type,
    pos32: nat ).

tff(func_def_1443,type,
    pos33: nat ).

tff(func_def_1444,type,
    pos34: nat ).

tff(func_def_1445,type,
    l35: real ).

tff(func_def_1446,type,
    l36: int ).

tff(func_def_1447,type,
    l37: complex ).

tff(func_def_1448,type,
    l38: code_integer ).

tff(func_def_1449,type,
    l39: rat ).

tff(func_def_1450,type,
    half40: nat ).

tff(func_def_1451,type,
    half41: nat ).

tff(func_def_1452,type,
    half42: nat ).

tff(func_def_1453,type,
    half43: nat ).

tff(func_def_1454,type,
    pos44: nat ).

tff(func_def_1455,type,
    pos45: nat ).

tff(func_def_1456,type,
    pos46: nat ).

tff(func_def_1457,type,
    pos47: nat ).

tff(func_def_1458,type,
    pos48: nat ).

tff(func_def_1459,type,
    pos49: nat ).

tff(func_def_1460,type,
    pos50: nat ).

tff(func_def_1461,type,
    pos51: nat ).

tff(func_def_1462,type,
    pos52: nat ).

tff(func_def_1463,type,
    half53: nat ).

tff(func_def_1464,type,
    half54: nat ).

tff(func_def_1465,type,
    l55: code_integer ).

tff(func_def_1466,type,
    a56: int ).

tff(func_def_1467,type,
    a57: int ).

tff(func_def_1468,type,
    n258: nat ).

tff(func_def_1469,type,
    m259: nat ).

tff(func_def_1470,type,
    n260: nat ).

tff(func_def_1471,type,
    m261: nat ).

tff(func_def_1472,type,
    n262: nat ).

tff(func_def_1473,type,
    m263: nat ).

tff(func_def_1474,type,
    n264: nat ).

tff(func_def_1475,type,
    m265: nat ).

tff(func_def_1476,type,
    n266: nat ).

tff(func_def_1477,type,
    m267: nat ).

tff(func_def_1478,type,
    n268: nat ).

tff(func_def_1479,type,
    m269: nat ).

tff(func_def_1480,type,
    n270: nat ).

tff(func_def_1481,type,
    m271: nat ).

tff(func_def_1482,type,
    k72: code_integer ).

tff(func_def_1483,type,
    l273: int ).

tff(func_def_1484,type,
    l274: num ).

tff(func_def_1485,type,
    l375: num ).

tff(func_def_1486,type,
    l276: nat ).

tff(func_def_1487,type,
    l377: nat ).

tff(func_def_1488,type,
    bG78: ( nat * list_o ) > $o ).

tff(func_def_1491,type,
    bG79: $o > $o ).

tff(func_def_1492,type,
    bG80: $o > $o ).

tff(func_def_1493,type,
    bG81: ( nat * list_o ) > $o ).

tff(func_def_1494,type,
    bG82: ( nat * list_o ) > $o ).

tff(func_def_1495,type,
    bG83: $o > $o ).

tff(func_def_1496,type,
    bG84: $o > $o ).

tff(func_def_1497,type,
    bG85: $o > $o ).

tff(func_def_1498,type,
    bG86: $o > $o ).

tff(func_def_1499,type,
    bG87: $o > $o ).

tff(func_def_1500,type,
    bG88: ( nat * list_o ) > $o ).

tff(func_def_1501,type,
    bG89: ( nat * list_o ) > $o ).

tff(func_def_1502,type,
    bG90: $o > $o ).

tff(func_def_1503,type,
    bG91: $o > $o ).

tff(func_def_1504,type,
    bG92: ( nat * list_o ) > $o ).

tff(func_def_1505,type,
    bG93: $o > $o ).

tff(func_def_1506,type,
    iG94: rat > rat ).

tff(func_def_1507,type,
    iG95: real > real ).

tff(func_def_1508,type,
    iG96: complex > complex ).

tff(func_def_1509,type,
    iG97: nat > rat ).

tff(func_def_1510,type,
    iG98: nat > nat ).

tff(func_def_1511,type,
    iG99: nat > real ).

tff(func_def_1512,type,
    iG100: nat > int ).

tff(func_def_1513,type,
    iG101: nat > complex ).

tff(func_def_1514,type,
    iG102: ( nat * nat ) > nat ).

tff(func_def_1515,type,
    bG103: $o > $o ).

tff(func_def_1516,type,
    iG104: ( nat * nat ) > nat ).

tff(func_def_1517,type,
    bG105: $o > $o ).

tff(func_def_1518,type,
    bG106: $o > $o ).

tff(func_def_1519,type,
    bG107: $o > $o ).

tff(func_def_1520,type,
    bG108: $o > $o ).

tff(func_def_1521,type,
    bG109: $o > $o ).

tff(func_def_1522,type,
    bG110: $o > $o ).

tff(func_def_1523,type,
    bG111: $o > $o ).

tff(func_def_1524,type,
    bG112: $o > $o ).

tff(func_def_1525,type,
    bG113: $o > $o ).

tff(func_def_1526,type,
    bG114: $o > $o ).

tff(func_def_1527,type,
    bG115: $o > $o ).

tff(func_def_1528,type,
    bG116: $o > $o ).

tff(func_def_1529,type,
    bG117: $o > $o ).

tff(func_def_1530,type,
    bG118: $o > $o ).

tff(func_def_1531,type,
    iG119: ( int * int ) > int ).

tff(func_def_1532,type,
    bG120: $o > $o ).

tff(func_def_1533,type,
    bG121: $o > $o ).

tff(func_def_1534,type,
    bG122: $o > $o ).

tff(func_def_1535,type,
    bG123: $o > $o ).

tff(func_def_1536,type,
    bG124: $o > $o ).

tff(func_def_1537,type,
    bG125: $o > $o ).

tff(func_def_1538,type,
    bG128: $o > $o ).

tff(func_def_1539,type,
    bG129: $o > $o ).

tff(func_def_1540,type,
    bG130: nat > $o ).

tff(func_def_1541,type,
    bG131: nat > $o ).

tff(func_def_1542,type,
    bG132: nat > $o ).

tff(func_def_1543,type,
    bG133: $o > $o ).

tff(func_def_1544,type,
    bG134: $o > $o ).

tff(func_def_1545,type,
    bG135: $o > $o ).

tff(func_def_1546,type,
    bG136: $o > $o ).

tff(func_def_1547,type,
    bG137: $o > $o ).

tff(func_def_1548,type,
    bG138: $o > $o ).

tff(func_def_1549,type,
    bG139: $o > $o ).

tff(func_def_1550,type,
    bG140: $o > $o ).

tff(func_def_1551,type,
    bG141: $o > $o ).

tff(func_def_1552,type,
    bG142: $o > $o ).

tff(func_def_1553,type,
    bG143: $o > $o ).

tff(func_def_1554,type,
    bG144: $o > $o ).

tff(func_def_1555,type,
    bG145: $o > $o ).

tff(func_def_1556,type,
    bG146: $o > $o ).

tff(func_def_1557,type,
    iG147: ( nat * nat * nat ) > nat ).

tff(func_def_1558,type,
    bG148: $o > $o ).

tff(func_def_1559,type,
    bG149: $o > $o ).

tff(func_def_1560,type,
    bG150: $o > $o ).

tff(func_def_1561,type,
    bG151: $o > $o ).

tff(func_def_1562,type,
    bG152: $o > $o ).

tff(func_def_1563,type,
    bG153: $o > $o ).

tff(func_def_1564,type,
    bG154: $o > $o ).

tff(func_def_1565,type,
    bG155: $o > $o ).

tff(func_def_1566,type,
    bG156: $o > $o ).

tff(func_def_1567,type,
    bG157: $o > $o ).

tff(func_def_1568,type,
    bG158: $o > $o ).

tff(func_def_1569,type,
    bG159: $o > $o ).

tff(func_def_1570,type,
    bG160: $o > $o ).

tff(func_def_1571,type,
    bG161: $o > $o ).

tff(func_def_1572,type,
    bG162: $o > $o ).

tff(func_def_1573,type,
    bG163: $o > $o ).

tff(func_def_1574,type,
    iG164: ( rat * rat * rat ) > rat ).

tff(func_def_1575,type,
    iG165: ( real * real * real ) > real ).

tff(func_def_1576,type,
    iG166: ( complex * complex * complex ) > complex ).

tff(func_def_1577,type,
    iG167: ( nat * nat * nat ) > nat ).

tff(func_def_1578,type,
    iG168: ( int * int * int ) > int ).

tff(func_def_1579,type,
    iG169: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1580,type,
    bG170: $o > $o ).

tff(func_def_1581,type,
    bG171: $o > $o ).

tff(func_def_1582,type,
    bG172: $o > $o ).

tff(func_def_1583,type,
    bG173: $o > $o ).

tff(func_def_1584,type,
    bG174: $o > $o ).

tff(func_def_1585,type,
    bG175: $o > $o ).

tff(func_def_1586,type,
    bG176: $o > $o ).

tff(func_def_1587,type,
    bG177: $o > $o ).

tff(func_def_1588,type,
    bG178: $o > $o ).

tff(func_def_1589,type,
    bG179: $o > $o ).

tff(func_def_1590,type,
    bG180: nat > $o ).

tff(func_def_1591,type,
    bG187: $o > $o ).

tff(func_def_1592,type,
    bG188: $o > $o ).

tff(func_def_1593,type,
    bG189: $o > $o ).

tff(func_def_1594,type,
    bG190: $o > $o ).

tff(func_def_1595,type,
    bG191: $o > $o ).

tff(func_def_1596,type,
    bG192: $o > $o ).

tff(func_def_1597,type,
    bG193: nat > $o ).

tff(func_def_1598,type,
    bG194: nat > $o ).

tff(func_def_1599,type,
    bG195: nat > $o ).

tff(func_def_1600,type,
    bG196: nat > $o ).

tff(func_def_1601,type,
    bG197: nat > $o ).

tff(func_def_1602,type,
    bG198: nat > $o ).

tff(func_def_1603,type,
    bG199: ( $o * $o ) > $o ).

tff(func_def_1604,type,
    bG200: $o > $o ).

tff(func_def_1605,type,
    bG201: $o > $o ).

tff(func_def_1606,type,
    bG202: ( $o * $o ) > $o ).

tff(func_def_1607,type,
    bG203: $o > $o ).

tff(func_def_1608,type,
    bG204: $o > $o ).

tff(func_def_1609,type,
    bG205: ( $o * $o ) > $o ).

tff(func_def_1610,type,
    bG206: $o > $o ).

tff(func_def_1611,type,
    bG207: $o > $o ).

tff(func_def_1612,type,
    bG208: ( $o * $o ) > $o ).

tff(func_def_1613,type,
    bG209: $o > $o ).

tff(func_def_1614,type,
    bG210: $o > $o ).

tff(func_def_1615,type,
    bG211: ( $o * $o ) > $o ).

tff(func_def_1616,type,
    bG212: $o > $o ).

tff(func_def_1617,type,
    bG213: $o > $o ).

tff(func_def_1618,type,
    bG214: $o > $o ).

tff(func_def_1619,type,
    bG215: $o > $o ).

tff(func_def_1620,type,
    bG216: $o > $o ).

tff(func_def_1621,type,
    bG217: $o > $o ).

tff(func_def_1622,type,
    bG218: $o > $o ).

tff(func_def_1623,type,
    bG219: $o > $o ).

tff(func_def_1624,type,
    bG220: nat > $o ).

tff(func_def_1625,type,
    bG221: int > $o ).

tff(func_def_1626,type,
    bG222: code_integer > $o ).

tff(func_def_1627,type,
    bG223: $o > $o ).

tff(func_def_1628,type,
    bG224: $o > $o ).

tff(func_def_1629,type,
    bG225: $o > $o ).

tff(func_def_1630,type,
    bG226: $o > $o ).

tff(func_def_1631,type,
    bG227: $o > $o ).

tff(func_def_1632,type,
    bG228: $o > $o ).

tff(func_def_1633,type,
    bG229: $o > $o ).

tff(func_def_1634,type,
    bG230: $o > $o ).

tff(func_def_1635,type,
    bG231: $o > $o ).

tff(func_def_1636,type,
    bG232: $o > $o ).

tff(func_def_1637,type,
    bG233: $o > $o ).

tff(func_def_1638,type,
    bG234: $o > $o ).

tff(func_def_1639,type,
    bG235: $o > $o ).

tff(func_def_1640,type,
    bG236: $o > $o ).

tff(func_def_1641,type,
    bG237: $o > $o ).

tff(func_def_1642,type,
    bG238: $o > $o ).

tff(func_def_1643,type,
    bG239: $o > $o ).

tff(func_def_1644,type,
    bG240: $o > $o ).

tff(func_def_1645,type,
    bG241: $o > $o ).

tff(func_def_1646,type,
    bG242: $o > $o ).

tff(func_def_1647,type,
    bG243: $o > $o ).

tff(func_def_1648,type,
    bG244: $o > $o ).

tff(func_def_1649,type,
    bG245: $o > $o ).

tff(func_def_1650,type,
    iG246: $o > complex ).

tff(func_def_1651,type,
    bG247: $o > $o ).

tff(func_def_1652,type,
    iG248: $o > real ).

tff(func_def_1653,type,
    bG249: $o > $o ).

tff(func_def_1654,type,
    iG250: $o > rat ).

tff(func_def_1655,type,
    bG251: $o > $o ).

tff(func_def_1656,type,
    iG252: $o > nat ).

tff(func_def_1657,type,
    bG253: $o > $o ).

tff(func_def_1658,type,
    iG254: $o > int ).

tff(func_def_1659,type,
    bG255: $o > $o ).

tff(func_def_1660,type,
    iG256: $o > code_integer ).

tff(func_def_1661,type,
    bG263: $o > $o ).

tff(func_def_1662,type,
    bG264: $o > $o ).

tff(func_def_1663,type,
    bG265: $o > $o ).

tff(func_def_1664,type,
    bG266: $o > $o ).

tff(func_def_1665,type,
    bG267: $o > $o ).

tff(func_def_1666,type,
    bG268: $o > $o ).

tff(func_def_1667,type,
    bG269: $o > $o ).

tff(func_def_1668,type,
    bG270: $o > $o ).

tff(func_def_1669,type,
    bG271: ( nat * nat ) > $o ).

tff(func_def_1670,type,
    bG272: ( nat * nat ) > $o ).

tff(func_def_1671,type,
    bG273: ( nat * nat ) > $o ).

tff(func_def_1672,type,
    iG288: ( rat * rat * rat ) > rat ).

tff(func_def_1673,type,
    iG289: ( real * real * real ) > real ).

tff(func_def_1674,type,
    iG290: ( complex * complex * complex ) > complex ).

tff(func_def_1675,type,
    iG291: ( rat * rat * rat ) > rat ).

tff(func_def_1676,type,
    iG292: ( real * real * real ) > real ).

tff(func_def_1677,type,
    iG293: ( complex * complex * complex ) > complex ).

tff(func_def_1678,type,
    bG310: $o > $o ).

tff(func_def_1679,type,
    bG311: $o > $o ).

tff(func_def_1680,type,
    iG320: nat > nat ).

tff(func_def_1681,type,
    iG321: int > int ).

tff(func_def_1682,type,
    iG322: code_integer > code_integer ).

tff(func_def_1683,type,
    bG323: $o > $o ).

tff(func_def_1684,type,
    bG324: $o > $o ).

tff(func_def_1685,type,
    bG325: code_integer > $o ).

tff(func_def_1686,type,
    bG326: int > $o ).

tff(func_def_1687,type,
    bG327: nat > $o ).

tff(func_def_1688,type,
    bG328: ( list_o * nat ) > $o ).

tff(func_def_1689,type,
    bG329: ( list_o * nat ) > $o ).

tff(func_def_1690,type,
    bG330: ( list_VEBT_VEBT * nat * list_o ) > $o ).

tff(func_def_1691,type,
    bG331: ( list_o * nat * list_o ) > $o ).

tff(func_def_1692,type,
    bG332: ( list_o * nat ) > $o ).

tff(func_def_1693,type,
    bG333: ( list_nat * nat * list_o ) > $o ).

tff(func_def_1694,type,
    bG334: ( list_int * nat * list_o ) > $o ).

tff(func_def_1695,type,
    bG337: int > $o ).

tff(func_def_1696,type,
    bG338: $o > $o ).

tff(func_def_1697,type,
    bG339: $o > $o ).

tff(func_def_1698,type,
    bG340: $o > $o ).

tff(func_def_1699,type,
    bG341: $o > $o ).

tff(func_def_1700,type,
    bG342: $o > $o ).

tff(func_def_1701,type,
    bG343: $o > $o ).

tff(func_def_1702,type,
    bG344: $o > $o ).

tff(func_def_1703,type,
    bG345: $o > $o ).

tff(func_def_1704,type,
    bG346: $o > $o ).

tff(func_def_1705,type,
    bG347: $o > $o ).

tff(func_def_1706,type,
    iG348: ( nat * nat ) > nat ).

tff(func_def_1707,type,
    iG349: ( rat * rat * rat ) > rat ).

tff(func_def_1708,type,
    iG350: ( real * real * real ) > real ).

tff(func_def_1709,type,
    iG351: ( complex * complex * complex ) > complex ).

tff(func_def_1710,type,
    iG352: ( nat * nat ) > nat ).

tff(func_def_1711,type,
    iG353: ( nat * nat ) > nat ).

tff(func_def_1712,type,
    iG354: ( nat * nat ) > nat ).

tff(func_def_1713,type,
    iG355: ( nat * nat * nat ) > nat ).

tff(func_def_1714,type,
    iG356: ( nat * nat * int ) > int ).

tff(func_def_1715,type,
    iG357: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_1716,type,
    iG358: ( nat * rat ) > rat ).

tff(func_def_1717,type,
    iG359: ( nat * complex ) > complex ).

tff(func_def_1718,type,
    iG360: ( nat * real ) > real ).

tff(func_def_1719,type,
    iG361: ( nat * nat ) > nat ).

tff(func_def_1720,type,
    iG362: ( nat * int ) > int ).

tff(func_def_1721,type,
    bG363: ( nat * nat ) > $o ).

tff(func_def_1722,type,
    bG364: ( nat * nat ) > $o ).

tff(func_def_1723,type,
    bG365: ( nat * nat ) > $o ).

tff(func_def_1724,type,
    iG366: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1725,type,
    iG367: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1726,type,
    iG368: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1727,type,
    iG369: ( nat * code_integer ) > code_integer ).

tff(func_def_1728,type,
    iG370: ( nat * int ) > int ).

tff(func_def_1729,type,
    iG371: ( nat * code_integer ) > code_integer ).

tff(func_def_1730,type,
    iG372: ( nat * int ) > int ).

tff(func_def_1731,type,
    iG373: ( nat * nat ) > nat ).

tff(func_def_1732,type,
    bG374: nat > $o ).

tff(func_def_1733,type,
    bG375: nat > $o ).

tff(func_def_1734,type,
    bG376: $o > $o ).

tff(func_def_1735,type,
    bG377: $o > $o ).

tff(func_def_1736,type,
    bG378: $o > $o ).

tff(func_def_1737,type,
    bG379: $o > $o ).

tff(func_def_1738,type,
    bG380: $o > $o ).

tff(func_def_1739,type,
    bG381: $o > $o ).

tff(func_def_1740,type,
    bG382: $o > $o ).

tff(func_def_1741,type,
    bG383: $o > $o ).

tff(func_def_1742,type,
    bG384: nat > $o ).

tff(func_def_1743,type,
    bG391: nat > $o ).

tff(func_def_1744,type,
    bG392: nat > $o ).

tff(func_def_1745,type,
    bG393: nat > $o ).

tff(func_def_1746,type,
    bG394: ( nat * nat ) > $o ).

tff(func_def_1747,type,
    bG395: ( nat * nat ) > $o ).

tff(func_def_1748,type,
    bG396: ( nat * nat ) > $o ).

tff(func_def_1749,type,
    bG397: nat > $o ).

tff(func_def_1750,type,
    bG398: nat > $o ).

tff(func_def_1751,type,
    bG399: nat > $o ).

tff(func_def_1752,type,
    iG400: ( nat * nat ) > fun_int_int ).

tff(func_def_1753,type,
    iG401: ( nat * nat * int ) > int ).

tff(func_def_1754,type,
    iG402: ( nat * nat * nat ) > nat ).

tff(func_def_1755,type,
    iG403: ( nat * nat * int ) > int ).

tff(func_def_1756,type,
    iG404: ( nat * nat * nat ) > nat ).

tff(func_def_1757,type,
    iG405: ( nat * nat * int ) > int ).

tff(func_def_1758,type,
    iG406: ( nat * nat * nat ) > nat ).

tff(func_def_1759,type,
    iG413: ( int * int ) > int ).

tff(func_def_1760,type,
    iG414: ( int * int ) > int ).

tff(func_def_1761,type,
    iG429: ( real * real * real ) > real ).

tff(func_def_1762,type,
    iG430: ( complex * complex * complex ) > complex ).

tff(func_def_1763,type,
    iG431: ( rat * rat * rat ) > rat ).

tff(func_def_1764,type,
    iG432: ( real * real * real ) > real ).

tff(func_def_1765,type,
    iG433: ( complex * complex * complex ) > complex ).

tff(func_def_1766,type,
    iG434: ( rat * rat * rat ) > rat ).

tff(func_def_1767,type,
    iG435: ( real * real * real ) > real ).

tff(func_def_1768,type,
    iG436: ( complex * complex * complex ) > complex ).

tff(func_def_1769,type,
    iG437: ( rat * rat * rat ) > rat ).

tff(func_def_1770,type,
    iG454: ( nat * real ) > real ).

tff(func_def_1771,type,
    iG455: ( nat * int ) > int ).

tff(func_def_1772,type,
    iG456: ( nat * complex ) > complex ).

tff(func_def_1773,type,
    iG457: ( nat * code_integer ) > code_integer ).

tff(func_def_1774,type,
    iG458: ( nat * rat ) > rat ).

tff(func_def_1775,type,
    iG459: ( int * int ) > int ).

tff(func_def_1776,type,
    iG460: ( int * int ) > int ).

tff(func_def_1777,type,
    iG461: ( int * int ) > int ).

tff(func_def_1778,type,
    iG462: ( int * int ) > int ).

tff(func_def_1779,type,
    iG471: nat > real ).

tff(func_def_1780,type,
    iG472: nat > int ).

tff(func_def_1781,type,
    iG473: nat > complex ).

tff(func_def_1782,type,
    iG474: nat > code_integer ).

tff(func_def_1783,type,
    iG475: nat > rat ).

tff(func_def_1784,type,
    iG476: ( nat * nat ) > nat ).

tff(func_def_1785,type,
    iG477: ( nat * nat ) > nat ).

tff(func_def_1786,type,
    bG478: ( nat * nat ) > $o ).

tff(func_def_1787,type,
    iG479: ( code_integer * nat ) > code_integer ).

tff(func_def_1788,type,
    iG480: ( int * nat ) > int ).

tff(func_def_1789,type,
    iG481: ( nat * nat ) > nat ).

tff(func_def_1790,type,
    bG482: code_integer > $o ).

tff(func_def_1791,type,
    bG483: code_integer > $o ).

tff(func_def_1792,type,
    bG484: nat > $o ).

tff(func_def_1793,type,
    bG485: nat > $o ).

tff(func_def_1794,type,
    bG486: int > $o ).

tff(func_def_1795,type,
    bG487: int > $o ).

tff(func_def_1796,type,
    bG488: code_integer > $o ).

tff(func_def_1797,type,
    bG489: code_integer > $o ).

tff(func_def_1798,type,
    bG490: nat > $o ).

tff(func_def_1799,type,
    bG491: nat > $o ).

tff(func_def_1800,type,
    bG492: int > $o ).

tff(func_def_1801,type,
    bG493: int > $o ).

tff(func_def_1802,type,
    bG494: nat > $o ).

tff(func_def_1803,type,
    bG495: nat > $o ).

tff(func_def_1804,type,
    iG496: ( nat * nat ) > int ).

tff(func_def_1805,type,
    bG497: ( int * int ) > $o ).

tff(func_def_1806,type,
    iG498: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1807,type,
    iG499: ( num * num ) > product_prod_int_int ).

tff(func_def_1808,type,
    iG500: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1809,type,
    iG501: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1810,type,
    iG502: ( num * num ) > product_prod_int_int ).

tff(func_def_1811,type,
    iG503: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1812,type,
    iG504: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1813,type,
    iG505: ( num * num ) > product_prod_int_int ).

tff(func_def_1814,type,
    iG506: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1815,type,
    iG507: nat > complex ).

tff(func_def_1816,type,
    iG508: nat > real ).

tff(func_def_1817,type,
    iG509: nat > rat ).

tff(func_def_1818,type,
    iG510: nat > nat ).

tff(func_def_1819,type,
    iG511: nat > int ).

tff(func_def_1820,type,
    bG512: ( nat * int ) > $o ).

tff(func_def_1821,type,
    bG513: $o > $o ).

tff(func_def_1822,type,
    bG514: $o > $o ).

tff(func_def_1823,type,
    bG515: $o > $o ).

tff(func_def_1824,type,
    bG516: $o > $o ).

tff(func_def_1825,type,
    bG517: $o > $o ).

tff(func_def_1826,type,
    bG518: $o > $o ).

tff(func_def_1827,type,
    bG519: $o > $o ).

tff(func_def_1828,type,
    bG520: $o > $o ).

tff(func_def_1829,type,
    bG521: $o > $o ).

tff(func_def_1830,type,
    bG522: $o > $o ).

tff(func_def_1831,type,
    bG523: $o > $o ).

tff(func_def_1832,type,
    iG524: real > real ).

tff(func_def_1833,type,
    iG525: int > int ).

tff(func_def_1834,type,
    iG526: code_integer > code_integer ).

tff(func_def_1835,type,
    iG527: rat > rat ).

tff(func_def_1836,type,
    iG528: real > real ).

tff(func_def_1837,type,
    iG529: int > int ).

tff(func_def_1838,type,
    iG530: code_integer > code_integer ).

tff(func_def_1839,type,
    iG531: rat > rat ).

tff(func_def_1840,type,
    iG532: real > real ).

tff(func_def_1841,type,
    iG533: ( nat * int ) > fun_nat_fun_int_int ).

tff(func_def_1842,type,
    iG534: ( nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1843,type,
    bG535: ( nat * int ) > $o ).

tff(func_def_1844,type,
    iG536: nat > rat ).

tff(func_def_1845,type,
    iG537: nat > complex ).

tff(func_def_1846,type,
    iG538: nat > int ).

tff(func_def_1847,type,
    iG539: nat > nat ).

tff(func_def_1848,type,
    iG540: nat > real ).

tff(func_def_1849,type,
    bG547: ( nat * int ) > $o ).

tff(func_def_1850,type,
    bG548: ( nat * int ) > $o ).

tff(func_def_1851,type,
    bG549: ( nat * int ) > $o ).

tff(func_def_1852,type,
    iG550: nat > real ).

tff(func_def_1853,type,
    iG551: ( nat * nat ) > nat ).

tff(func_def_1854,type,
    iG552: ( nat * nat ) > nat ).

tff(func_def_1855,type,
    iG553: nat > real ).

tff(func_def_1856,type,
    iG554: int > int ).

tff(func_def_1857,type,
    iG555: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1858,type,
    iG556: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1859,type,
    iG557: ( int * int ) > int ).

tff(func_def_1860,type,
    iG558: ( int * int ) > int ).

tff(func_def_1861,type,
    iG559: ( int * int ) > int ).

tff(func_def_1862,type,
    iG560: ( int * int ) > int ).

tff(func_def_1863,type,
    bG561: ( nat * nat ) > $o ).

tff(func_def_1864,type,
    iG562: ( int * int * nat * nat ) > int ).

tff(func_def_1865,type,
    iG563: ( int * int * nat * nat ) > int ).

tff(func_def_1866,type,
    bG564: ( nat * nat ) > $o ).

tff(func_def_1867,type,
    iG565: ( int * int * nat * nat ) > int ).

tff(func_def_1868,type,
    iG566: ( int * int * nat * nat ) > int ).

tff(func_def_1869,type,
    iG567: ( int * int ) > int ).

tff(func_def_1870,type,
    iG568: ( int * int ) > int ).

tff(func_def_1871,type,
    iG569: ( int * int ) > int ).

tff(func_def_1872,type,
    bG570: rat > $o ).

tff(func_def_1873,type,
    bG571: real > $o ).

tff(func_def_1874,type,
    bG572: int > $o ).

tff(func_def_1875,type,
    bG573: code_integer > $o ).

tff(func_def_1876,type,
    bG574: complex > $o ).

tff(func_def_1877,type,
    bG575: real > $o ).

tff(func_def_1878,type,
    bG576: rat > $o ).

tff(func_def_1879,type,
    bG577: int > $o ).

tff(func_def_1880,type,
    bG578: code_integer > $o ).

tff(func_def_1881,type,
    bG579: complex > $o ).

tff(func_def_1882,type,
    bG580: real > $o ).

tff(func_def_1883,type,
    bG581: rat > $o ).

tff(func_def_1884,type,
    bG582: int > $o ).

tff(func_def_1885,type,
    bG583: code_integer > $o ).

tff(func_def_1886,type,
    bG584: nat > $o ).

tff(func_def_1887,type,
    bG585: nat > $o ).

tff(func_def_1888,type,
    bG586: nat > $o ).

tff(func_def_1889,type,
    bG587: nat > $o ).

tff(func_def_1890,type,
    iG588: code_integer > code_integer ).

tff(func_def_1891,type,
    iG589: real > real ).

tff(func_def_1892,type,
    iG590: rat > rat ).

tff(func_def_1893,type,
    iG591: int > int ).

tff(func_def_1894,type,
    iG592: real > real ).

tff(func_def_1895,type,
    iG593: real > real ).

tff(func_def_1896,type,
    iG594: int > int ).

tff(func_def_1897,type,
    iG595: int > int ).

tff(func_def_1898,type,
    iG596: code_integer > code_integer ).

tff(func_def_1899,type,
    iG597: code_integer > code_integer ).

tff(func_def_1900,type,
    iG598: rat > rat ).

tff(func_def_1901,type,
    iG599: rat > rat ).

tff(func_def_1902,type,
    iG600: int > int ).

tff(func_def_1903,type,
    iG601: int > int ).

tff(func_def_1904,type,
    iG602: real > real ).

tff(func_def_1905,type,
    iG603: complex > real ).

tff(func_def_1906,type,
    bG604: ( int * int ) > $o ).

tff(func_def_1907,type,
    bG605: int > $o ).

tff(func_def_1908,type,
    bG606: ( int * int ) > $o ).

tff(func_def_1909,type,
    bG607: ( int * int ) > $o ).

tff(func_def_1910,type,
    iG608: ( int * int ) > int ).

tff(func_def_1911,type,
    iG609: ( int * int ) > int ).

tff(func_def_1912,type,
    bG610: ( int * int ) > $o ).

tff(func_def_1913,type,
    iG611: ( int * int ) > int ).

tff(func_def_1914,type,
    iG612: ( int * int ) > int ).

tff(func_def_1915,type,
    iG613: int > int ).

tff(func_def_1916,type,
    iG614: real > real ).

tff(func_def_1917,type,
    iG615: real > real ).

tff(func_def_1918,type,
    iG618: ( nat * nat ) > nat ).

tff(func_def_1919,type,
    iG620: ( nat * nat ) > nat ).

tff(func_def_1920,type,
    bG621: ( nat * nat ) > $o ).

tff(func_def_1921,type,
    iG622: real > real ).

tff(func_def_1922,type,
    iG623: int > real ).

tff(func_def_1923,type,
    iG624: int > complex ).

tff(func_def_1924,type,
    iG625: int > code_integer ).

tff(func_def_1925,type,
    iG626: int > rat ).

tff(func_def_1926,type,
    iG627: int > real ).

tff(func_def_1927,type,
    iG628: int > int ).

tff(func_def_1928,type,
    iG629: ( int * real ) > real ).

tff(func_def_1929,type,
    iG630: real > int ).

tff(func_def_1930,type,
    iG631: rat > int ).

tff(func_def_1931,type,
    iG632: ( int * real ) > real ).

tff(func_def_1932,type,
    iG633: ( real * real ) > real ).

tff(func_def_1933,type,
    iG634: ( rat * rat ) > rat ).

tff(func_def_1934,type,
    iG635: ( real * real ) > int ).

tff(func_def_1935,type,
    iG636: ( rat * rat ) > int ).

tff(func_def_1936,type,
    iG637: real > real ).

tff(func_def_1937,type,
    iG638: rat > rat ).

tff(func_def_1938,type,
    lG639: ( nat * nat ) > nat ).

tff(func_def_1939,type,
    lG641: ( nat * nat ) > nat ).

tff(func_def_1940,type,
    bG643: $o > $o ).

tff(func_def_1941,type,
    bG644: $o > $o ).

tff(func_def_1942,type,
    lG645: ( nat * nat ) > nat ).

tff(func_def_1943,type,
    lG647: ( nat * nat ) > nat ).

tff(func_def_1944,type,
    bG649: $o > $o ).

tff(func_def_1945,type,
    bG650: $o > $o ).

tff(func_def_1946,type,
    lG651: num > rat ).

tff(func_def_1947,type,
    lG652: num > extended_enat ).

tff(func_def_1948,type,
    lG653: num > complex ).

tff(func_def_1949,type,
    lG654: num > real ).

tff(func_def_1950,type,
    lG655: num > nat ).

tff(func_def_1951,type,
    lG656: num > int ).

tff(func_def_1952,type,
    lG657: num > rat ).

tff(func_def_1953,type,
    lG658: num > extended_enat ).

tff(func_def_1954,type,
    lG659: num > complex ).

tff(func_def_1955,type,
    lG660: num > real ).

tff(func_def_1956,type,
    lG661: num > nat ).

tff(func_def_1957,type,
    lG662: num > int ).

tff(func_def_1958,type,
    lG663: ( complex * num ) > complex ).

tff(func_def_1959,type,
    lG664: ( real * num ) > real ).

tff(func_def_1960,type,
    lG665: ( nat * num ) > nat ).

tff(func_def_1961,type,
    lG666: ( int * num ) > int ).

tff(func_def_1962,type,
    lG667: ( complex * num ) > complex ).

tff(func_def_1963,type,
    lG668: ( real * num ) > real ).

tff(func_def_1964,type,
    lG669: ( nat * num ) > nat ).

tff(func_def_1965,type,
    lG670: ( int * num ) > int ).

tff(func_def_1966,type,
    lG671: ( int * int ) > int ).

tff(func_def_1967,type,
    iG672: ( int * int ) > nat ).

tff(func_def_1968,type,
    iG673: ( int * int ) > nat ).

tff(func_def_1969,type,
    lG674: ( nat * code_integer ) > code_integer ).

tff(func_def_1970,type,
    iG675: ( nat * code_integer ) > code_integer ).

tff(func_def_1971,type,
    lG676: ( nat * int ) > int ).

tff(func_def_1972,type,
    iG677: ( nat * int ) > int ).

tff(func_def_1973,type,
    iG678: ( nat * rat ) > rat ).

tff(func_def_1974,type,
    iG679: ( nat * complex ) > complex ).

tff(func_def_1975,type,
    iG680: ( nat * real ) > real ).

tff(func_def_1976,type,
    iG681: ( nat * int ) > int ).

tff(func_def_1977,type,
    iG682: ( nat * nat ) > nat ).

tff(func_def_1978,type,
    iG683: ( nat * rat ) > rat ).

tff(func_def_1979,type,
    iG684: ( nat * complex ) > complex ).

tff(func_def_1980,type,
    iG685: ( nat * real ) > real ).

tff(func_def_1981,type,
    lG686: ( nat * nat ) > nat ).

tff(func_def_1982,type,
    lG688: ( nat * nat ) > nat ).

tff(func_def_1983,type,
    lG690: ( nat * nat ) > nat ).

tff(func_def_1984,type,
    lG692: ( nat * nat ) > nat ).

tff(func_def_1985,type,
    bG696: $o > $o ).

tff(func_def_1986,type,
    bG697: $o > $o ).

tff(func_def_1987,type,
    lG698: ( nat * nat ) > nat ).

tff(func_def_1988,type,
    bG702: $o > $o ).

tff(func_def_1989,type,
    bG703: $o > $o ).

tff(func_def_1990,type,
    lG704: ( nat * nat ) > nat ).

tff(func_def_1991,type,
    bG708: $o > $o ).

tff(func_def_1992,type,
    bG709: $o > $o ).

tff(func_def_1993,type,
    lG710: ( nat * nat ) > nat ).

tff(func_def_1994,type,
    lG712: ( nat * nat ) > nat ).

tff(func_def_1995,type,
    lG714: int > real ).

tff(func_def_1996,type,
    iG715: int > real ).

tff(func_def_1997,type,
    iG716: int > real ).

tff(func_def_1998,type,
    iG717: int > real ).

tff(func_def_1999,type,
    lG718: int > int ).

tff(func_def_2000,type,
    iG719: int > int ).

tff(func_def_2001,type,
    iG720: int > int ).

tff(func_def_2002,type,
    iG721: int > int ).

tff(func_def_2003,type,
    lG722: int > complex ).

tff(func_def_2004,type,
    iG723: int > complex ).

tff(func_def_2005,type,
    iG724: int > complex ).

tff(func_def_2006,type,
    iG725: int > complex ).

tff(func_def_2007,type,
    lG726: int > code_integer ).

tff(func_def_2008,type,
    iG727: int > code_integer ).

tff(func_def_2009,type,
    iG728: int > code_integer ).

tff(func_def_2010,type,
    iG729: int > code_integer ).

tff(func_def_2011,type,
    lG730: int > rat ).

tff(func_def_2012,type,
    iG731: int > rat ).

tff(func_def_2013,type,
    iG732: int > rat ).

tff(func_def_2014,type,
    iG733: int > rat ).

tff(func_def_2015,type,
    iG734: complex > real ).

tff(func_def_2016,type,
    iG735: complex > real ).

tff(func_def_2017,type,
    lG736: nat > nat ).

tff(func_def_2018,type,
    lG737: nat > nat ).

tff(func_def_2019,type,
    iG738: nat > vEBT_VEBT ).

tff(func_def_2020,type,
    bG739: $o > $o ).

tff(func_def_2021,type,
    bG740: $o > $o ).

tff(func_def_2022,type,
    bG741: $o > $o ).

tff(func_def_2023,type,
    bG742: $o > $o ).

tff(func_def_2024,type,
    bG743: $o > $o ).

tff(func_def_2025,type,
    lG744: nat > nat ).

tff(func_def_2026,type,
    lG745: nat > nat ).

tff(func_def_2027,type,
    iG746: nat > vEBT_VEBT ).

tff(func_def_2028,type,
    lG747: ( nat * nat ) > nat ).

tff(func_def_2029,type,
    bG748: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2030,type,
    iG749: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2031,type,
    lG750: ( nat * nat ) > nat ).

tff(func_def_2032,type,
    bG752: $o > $o ).

tff(func_def_2033,type,
    bG753: $o > $o ).

tff(func_def_2034,type,
    bG754: $o > $o ).

tff(func_def_2035,type,
    bG755: $o > $o ).

tff(func_def_2036,type,
    lG756: ( nat * nat ) > nat ).

tff(func_def_2037,type,
    lG758: ( nat * nat ) > nat ).

tff(func_def_2038,type,
    bG760: $o > $o ).

tff(func_def_2039,type,
    bG761: $o > $o ).

tff(func_def_2040,type,
    bG762: $o > $o ).

tff(func_def_2041,type,
    bG763: $o > $o ).

tff(func_def_2042,type,
    lG764: ( nat * nat ) > nat ).

tff(func_def_2043,type,
    lG766: ( nat * nat ) > nat ).

tff(func_def_2044,type,
    lG768: ( nat * nat ) > nat ).

tff(func_def_2045,type,
    bG772: $o > $o ).

tff(func_def_2046,type,
    bG773: $o > $o ).

tff(func_def_2047,type,
    bG774: $o > $o ).

tff(func_def_2048,type,
    bG775: $o > $o ).

tff(func_def_2049,type,
    lG776: ( nat * nat ) > nat ).

tff(func_def_2050,type,
    bG780: $o > $o ).

tff(func_def_2051,type,
    bG781: $o > $o ).

tff(func_def_2052,type,
    bG782: $o > $o ).

tff(func_def_2053,type,
    bG783: $o > $o ).

tff(func_def_2054,type,
    lG784: ( nat * nat ) > nat ).

tff(func_def_2055,type,
    bG785: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_2056,type,
    iG786: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_2057,type,
    bG787: $o > $o ).

tff(func_def_2058,type,
    bG788: $o > $o ).

tff(func_def_2059,type,
    bG789: $o > $o ).

tff(func_def_2060,type,
    bG790: $o > $o ).

tff(func_def_2061,type,
    iG791: ( nat * $o ) > $o ).

tff(func_def_2062,type,
    iG792: ( nat * $o * $o ) > $o ).

tff(func_def_2063,type,
    bG793: $o > $o ).

tff(func_def_2064,type,
    bG794: $o > $o ).

tff(func_def_2065,type,
    iG795: complex > real ).

tff(func_def_2066,type,
    iG796: ( rat * nat ) > rat ).

tff(func_def_2067,type,
    iG797: ( complex * nat ) > complex ).

tff(func_def_2068,type,
    iG798: ( real * nat ) > real ).

tff(func_def_2069,type,
    iG799: ( rat * nat ) > rat ).

tff(func_def_2070,type,
    iG800: ( complex * nat ) > complex ).

tff(func_def_2071,type,
    iG801: ( real * nat ) > real ).

tff(func_def_2072,type,
    iG802: ( rat * nat * nat ) > rat ).

tff(func_def_2073,type,
    iG803: ( nat * nat * rat ) > rat ).

tff(func_def_2074,type,
    iG804: ( complex * nat * nat ) > complex ).

tff(func_def_2075,type,
    iG805: ( nat * nat * complex ) > complex ).

tff(func_def_2076,type,
    iG806: ( real * nat * nat ) > real ).

tff(func_def_2077,type,
    iG807: ( nat * nat * real ) > real ).

tff(func_def_2078,type,
    iG808: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2079,type,
    iG809: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2080,type,
    iG810: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2081,type,
    iG811: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2082,type,
    iG812: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2083,type,
    iG813: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2084,type,
    iG814: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2085,type,
    iG815: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2086,type,
    iG816: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2087,type,
    iG817: ( rat * nat * nat ) > rat ).

tff(func_def_2088,type,
    iG818: ( complex * nat * nat ) > complex ).

tff(func_def_2089,type,
    iG819: ( real * nat * nat ) > real ).

tff(func_def_2090,type,
    lG820: nat > nat ).

tff(func_def_2091,type,
    lG821: nat > nat ).

tff(func_def_2092,type,
    iG822: nat > vEBT_VEBT ).

tff(func_def_2093,type,
    iG823: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2094,type,
    iG824: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2095,type,
    iG825: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2096,type,
    iG826: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2097,type,
    iG827: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2098,type,
    iG828: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2099,type,
    bG829: $o > $o ).

tff(func_def_2100,type,
    bG830: $o > $o ).

tff(func_def_2101,type,
    bG831: ( int * int ) > $o ).

tff(func_def_2102,type,
    iG832: code_integer > code_integer ).

tff(func_def_2103,type,
    iG833: code_integer > code_integer ).

tff(func_def_2104,type,
    lG834: int > code_integer ).

tff(func_def_2105,type,
    iG835: int > code_integer ).

tff(func_def_2106,type,
    iG836: int > code_integer ).

tff(func_def_2107,type,
    iG837: int > code_integer ).

tff(func_def_2108,type,
    iG838: code_integer > code_integer ).

tff(func_def_2109,type,
    bG839: nat > $o ).

tff(func_def_2110,type,
    bG840: nat > $o ).

tff(func_def_2111,type,
    bG841: ( nat * nat ) > $o ).

tff(func_def_2112,type,
    iG842: ( int * int ) > int ).

tff(func_def_2113,type,
    iG843: ( int * int ) > int ).

tff(func_def_2114,type,
    iG844: ( int * int ) > int ).

tff(func_def_2115,type,
    iG845: ( nat * nat ) > nat ).

tff(func_def_2116,type,
    iG846: ( nat * nat ) > nat ).

tff(func_def_2117,type,
    bG847: code_integer > $o ).

tff(func_def_2118,type,
    iG848: rat > rat ).

tff(func_def_2119,type,
    iG849: rat > rat ).

tff(func_def_2120,type,
    iG850: rat > rat ).

tff(func_def_2121,type,
    iG851: code_integer > produc6271795597528267376eger_o ).

tff(func_def_2122,type,
    iG852: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2123,type,
    iG853: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2124,type,
    iG854: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2125,type,
    iG855: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2126,type,
    iG856: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2127,type,
    iG857: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2128,type,
    iG858: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2129,type,
    iG859: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2130,type,
    iG860: ( int * int ) > int ).

tff(func_def_2131,type,
    bG861: ( int * int ) > $o ).

tff(func_def_2132,type,
    bG862: ( int * int ) > $o ).

tff(func_def_2133,type,
    iG863: ( int * int ) > int ).

tff(func_def_2134,type,
    bG864: ( int * int ) > $o ).

tff(func_def_2135,type,
    bG865: ( int * int ) > $o ).

tff(func_def_2136,type,
    iG866: ( int * int ) > int ).

tff(func_def_2137,type,
    iG867: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2138,type,
    iG868: ( int * int ) > set_int ).

tff(func_def_2139,type,
    iG869: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2140,type,
    iG870: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2141,type,
    bG871: ( int * int ) > $o ).

tff(func_def_2142,type,
    bG872: ( int * int ) > $o ).

tff(func_def_2143,type,
    iG873: ( int * int ) > int ).

tff(func_def_2144,type,
    bG874: ( int * int ) > $o ).

tff(func_def_2145,type,
    bG875: ( int * int ) > $o ).

tff(func_def_2146,type,
    iG876: ( int * int ) > int ).

tff(func_def_2147,type,
    iG877: ( nat * nat ) > set_nat ).

tff(func_def_2148,type,
    iG878: ( num * nat ) > set_nat ).

tff(func_def_2149,type,
    lG879: product_prod_int_int > int ).

tff(func_def_2150,type,
    lG880: product_prod_int_int > int ).

tff(func_def_2151,type,
    iG881: product_prod_int_int > product_prod_int_int ).

tff(func_def_2152,type,
    iG882: product_prod_int_int > product_prod_int_int ).

tff(func_def_2153,type,
    iG883: ( int * int ) > int ).

tff(func_def_2154,type,
    iG884: ( nat * nat ) > nat ).

tff(func_def_2155,type,
    iG885: ( nat * nat ) > nat ).

tff(func_def_2156,type,
    iG886: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2157,type,
    iG887: ( nat * nat ) > nat ).

tff(func_def_2158,type,
    bG888: nat > $o ).

tff(func_def_2159,type,
    iG889: code_integer > nat ).

tff(func_def_2160,type,
    iG890: code_integer > int ).

tff(func_def_2161,type,
    iG891: code_integer > int ).

tff(func_def_2162,type,
    iG892: nat > num ).

tff(func_def_2163,type,
    lG893: nat > nat ).

tff(func_def_2164,type,
    lG894: nat > nat ).

tff(func_def_2165,type,
    bG895: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2166,type,
    bG896: $o > $o ).

tff(func_def_2167,type,
    bG897: $o > $o ).

tff(func_def_2168,type,
    lG898: nat > nat ).

tff(func_def_2169,type,
    lG899: nat > nat ).

tff(func_def_2170,type,
    bG900: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2171,type,
    bG901: $o > $o ).

tff(func_def_2172,type,
    bG902: $o > $o ).

tff(func_def_2173,type,
    lG903: nat > nat ).

tff(func_def_2174,type,
    lG904: nat > nat ).

tff(func_def_2175,type,
    bG905: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2176,type,
    bG906: $o > $o ).

tff(func_def_2177,type,
    bG907: $o > $o ).

tff(func_def_2178,type,
    lG908: nat > nat ).

tff(func_def_2179,type,
    lG909: nat > nat ).

tff(func_def_2180,type,
    bG910: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2181,type,
    lG911: nat > nat ).

tff(func_def_2182,type,
    lG912: nat > nat ).

tff(func_def_2183,type,
    bG913: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2184,type,
    bG914: $o > $o ).

tff(func_def_2185,type,
    bG915: $o > $o ).

tff(func_def_2186,type,
    bG916: $o > $o ).

tff(func_def_2187,type,
    bG917: $o > $o ).

tff(func_def_2188,type,
    lG918: nat > nat ).

tff(func_def_2189,type,
    lG919: nat > nat ).

tff(func_def_2190,type,
    bG920: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2191,type,
    bG921: $o > $o ).

tff(func_def_2192,type,
    bG922: $o > $o ).

tff(func_def_2193,type,
    bG923: $o > $o ).

tff(func_def_2194,type,
    bG924: $o > $o ).

tff(func_def_2195,type,
    lG925: nat > nat ).

tff(func_def_2196,type,
    lG926: nat > nat ).

tff(func_def_2197,type,
    bG927: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2198,type,
    bG928: $o > $o ).

tff(func_def_2199,type,
    bG929: $o > $o ).

tff(func_def_2200,type,
    bG930: $o > $o ).

tff(func_def_2201,type,
    bG931: $o > $o ).

tff(func_def_2202,type,
    iG932: ( num * nat ) > option_num ).

tff(func_def_2203,type,
    lG933: num > code_integer ).

tff(func_def_2204,type,
    iG934: ( nat * nat ) > set_nat ).

tff(func_def_2205,type,
    iG935: ( nat * nat * nat ) > set_nat ).

tff(func_def_2206,type,
    iG936: ( nat * real ) > real ).

tff(func_def_2207,type,
    bG938: $o > $o ).

tff(func_def_2208,type,
    bG939: $o > $o ).

tff(func_def_2209,type,
    bG940: $o > $o ).

tff(func_def_2210,type,
    bG941: $o > $o ).

tff(func_def_2211,type,
    bG942: $o > $o ).

tff(func_def_2212,type,
    bG943: $o > $o ).

tff(func_def_2213,type,
    bG944: $o > $o ).

tff(func_def_2214,type,
    bG945: $o > $o ).

tff(func_def_2215,type,
    bG946: $o > $o ).

tff(func_def_2216,type,
    bG947: $o > $o ).

tff(func_def_2217,type,
    bG948: $o > $o ).

tff(func_def_2218,type,
    bG949: $o > $o ).

tff(func_def_2219,type,
    bG950: $o > $o ).

tff(func_def_2220,type,
    bG951: $o > $o ).

tff(func_def_2221,type,
    bG952: $o > $o ).

tff(func_def_2222,type,
    bG953: $o > $o ).

tff(func_def_2223,type,
    iG954: ( int * int * list_int ) > list_int ).

tff(func_def_2224,type,
    iG955: ( int * int ) > list_int ).

tff(func_def_2225,type,
    iG956: ( num * num ) > list_int ).

tff(func_def_2226,type,
    iG957: ( num * num ) > list_int ).

tff(func_def_2227,type,
    iG958: ( num * num ) > list_int ).

tff(func_def_2228,type,
    iG959: ( num * num ) > list_int ).

tff(func_def_2229,type,
    iG960: ( int * int ) > list_int ).

tff(func_def_2230,type,
    iG961: ( int * int ) > list_int ).

tff(func_def_2231,type,
    iG962: ( int * int ) > list_int ).

tff(func_def_2232,type,
    iG963: code_integer > num ).

tff(func_def_2233,type,
    iG964: ( nat * nat ) > nat ).

tff(func_def_2234,type,
    iG965: ( num * num ) > list_nat ).

tff(func_def_2235,type,
    iG966: ( nat * nat ) > list_nat ).

tff(func_def_2236,type,
    iG967: ( nat * nat ) > list_nat ).

tff(func_def_2237,type,
    iG968: ( nat * complex ) > complex ).

tff(func_def_2238,type,
    iG969: ( nat * real ) > real ).

tff(func_def_2239,type,
    iG970: ( nat * nat ) > complex ).

tff(func_def_2240,type,
    iG971: ( nat * nat ) > real ).

tff(func_def_2241,type,
    iG972: ( nat * nat ) > rat ).

tff(func_def_2242,type,
    iG973: ( nat * nat ) > int ).

tff(func_def_2243,type,
    iG974: ( nat * complex ) > complex ).

tff(func_def_2244,type,
    iG975: ( nat * real ) > real ).

tff(func_def_2245,type,
    iG976: ( nat * fun_nat_real ) > real ).

tff(func_def_2246,type,
    iG977: ( nat * nat ) > complex ).

tff(func_def_2247,type,
    iG978: ( nat * nat ) > real ).

tff(func_def_2248,type,
    iG979: ( nat * nat ) > rat ).

tff(func_def_2249,type,
    iG980: ( nat * nat ) > int ).

tff(func_def_2250,type,
    lG981: code_integer > int ).

tff(func_def_2251,type,
    iG982: ( code_integer * code_integer ) > int ).

tff(func_def_2252,type,
    lG983: code_integer > num ).

tff(func_def_2253,type,
    lG984: code_integer > num ).

tff(func_def_2254,type,
    iG985: ( code_integer * code_integer ) > num ).

tff(func_def_2255,type,
    lG986: code_integer > nat ).

tff(func_def_2256,type,
    lG987: code_integer > nat ).

tff(func_def_2257,type,
    iG988: ( code_integer * code_integer ) > nat ).

tff(func_def_2258,type,
    bG989: int > $o ).

tff(func_def_2259,type,
    bG990: $o > $o ).

tff(func_def_2260,type,
    iG991: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2261,type,
    iG992: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2262,type,
    iG993: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2263,type,
    iG994: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_2264,type,
    iG995: ( int * num * int ) > product_prod_int_int ).

tff(func_def_2265,type,
    iG996: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2266,type,
    iG997: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2267,type,
    iG998: ( nat * nat ) > complex ).

tff(func_def_2268,type,
    iG999: ( nat * nat ) > real ).

tff(func_def_2269,type,
    iG1000: ( nat * nat ) > int ).

tff(func_def_2270,type,
    iG1001: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2271,type,
    bG1002: code_integer > $o ).

tff(func_def_2272,type,
    iG1003: ( nat * nat * complex * complex ) > complex ).

tff(func_def_2273,type,
    iG1004: ( nat * nat * real * real ) > real ).

tff(func_def_2274,type,
    iG1005: ( nat * nat * complex * complex ) > complex ).

tff(func_def_2275,type,
    iG1006: ( nat * nat * real * real ) > real ).

tff(func_def_2276,type,
    iG1007: ( nat * nat * complex * complex ) > complex ).

tff(func_def_2277,type,
    iG1008: ( nat * nat * real * real ) > real ).

tff(func_def_2278,type,
    iG1009: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2279,type,
    iG1010: ( nat * nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_2280,type,
    iG1011: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2281,type,
    iG1012: ( nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2282,type,
    iG1013: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2283,type,
    iG1014: ( nat * nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2284,type,
    iG1015: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2285,type,
    iG1016: ( nat * nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2286,type,
    iG1017: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2287,type,
    iG1018: ( nat * nat * fun_nat_int * fun_nat_int ) > int ).

tff(func_def_2288,type,
    iG1019: ( nat * nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_2289,type,
    iG1020: ( nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2290,type,
    iG1021: ( nat * nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2291,type,
    iG1022: ( nat * nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2292,type,
    iG1023: ( nat * nat * fun_nat_int * fun_nat_int ) > int ).

tff(func_def_2293,type,
    iG1024: ( nat * nat ) > code_integer ).

tff(func_def_2294,type,
    iG1025: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_2295,type,
    iG1026: ( nat * nat ) > complex ).

tff(func_def_2296,type,
    iG1027: ( nat * nat * complex ) > complex ).

tff(func_def_2297,type,
    iG1028: ( nat * nat ) > real ).

tff(func_def_2298,type,
    iG1029: ( nat * nat * real ) > real ).

tff(func_def_2299,type,
    iG1030: ( nat * nat ) > rat ).

tff(func_def_2300,type,
    iG1031: ( nat * nat * rat ) > rat ).

tff(func_def_2301,type,
    iG1032: ( nat * nat ) > int ).

tff(func_def_2302,type,
    iG1033: ( nat * nat * int ) > int ).

tff(func_def_2303,type,
    sK1078: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2304,type,
    sK1079: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2305,type,
    sK1080: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2306,type,
    sK1081: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2307,type,
    sK1082: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2308,type,
    sK1083: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2309,type,
    sK1084: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2310,type,
    sK1085: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2311,type,
    sK1086: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2312,type,
    sK1087: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2313,type,
    sK1088: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2314,type,
    sK1089: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2315,type,
    sK1090: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2316,type,
    sK1091: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2317,type,
    sK1092: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2318,type,
    sK1093: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2319,type,
    sK1094: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2320,type,
    sK1095: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2321,type,
    sK1096: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2322,type,
    sK1097: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2323,type,
    sK1098: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2324,type,
    sK1099: ( nat * $o * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2325,type,
    sK1100: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2326,type,
    sK1101: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2327,type,
    sK1102: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2328,type,
    sK1103: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2329,type,
    sK1104: vEBT_VEBT > $o ).

tff(func_def_2330,type,
    sK1105: vEBT_VEBT > $o ).

tff(func_def_2331,type,
    sK1106: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2332,type,
    sK1107: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2333,type,
    sK1108: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2334,type,
    sK1109: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2335,type,
    sK1110: vEBT_VEBT > $o ).

tff(func_def_2336,type,
    sK1111: vEBT_VEBT > $o ).

tff(func_def_2337,type,
    sK1112: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2338,type,
    sK1113: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2339,type,
    sK1114: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2340,type,
    sK1115: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2341,type,
    sK1116: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2342,type,
    sK1117: vEBT_VEBT > $o ).

tff(func_def_2343,type,
    sK1118: vEBT_VEBT > $o ).

tff(func_def_2344,type,
    sK1119: ( nat * $o * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2345,type,
    sK1120: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2346,type,
    sK1121: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2347,type,
    sK1122: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2348,type,
    sK1123: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2349,type,
    sK1124: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2350,type,
    sK1125: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2351,type,
    sK1126: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2352,type,
    sK1127: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2353,type,
    sK1128: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2354,type,
    sK1129: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2355,type,
    sK1130: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2356,type,
    sK1131: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2357,type,
    sK1132: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2358,type,
    sK1133: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2359,type,
    sK1134: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2360,type,
    sK1135: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2361,type,
    sK1136: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2362,type,
    sK1137: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2363,type,
    sK1138: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2364,type,
    sK1139: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2365,type,
    sK1140: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2366,type,
    sK1141: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2367,type,
    sK1142: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2368,type,
    sK1143: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2369,type,
    sK1144: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2370,type,
    sK1145: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2371,type,
    sK1146: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2372,type,
    sK1147: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2373,type,
    sK1148: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2374,type,
    sK1149: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2375,type,
    sK1150: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2376,type,
    sK1151: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2377,type,
    sK1152: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2378,type,
    sK1153: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2379,type,
    sK1154: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2380,type,
    sK1155: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2381,type,
    sK1156: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2382,type,
    sK1157: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2383,type,
    sK1158: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2384,type,
    sK1159: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2385,type,
    sK1160: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2386,type,
    sK1161: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2387,type,
    sK1162: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2388,type,
    sK1163: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2389,type,
    sK1164: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2390,type,
    sK1165: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2391,type,
    sK1166: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2392,type,
    sK1167: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2393,type,
    sK1168: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2394,type,
    sK1169: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2395,type,
    sK1170: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2396,type,
    sK1171: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2397,type,
    sK1172: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2398,type,
    sK1173: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2399,type,
    sK1174: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2400,type,
    sK1175: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2401,type,
    sK1176: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2402,type,
    sK1177: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2403,type,
    sK1178: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2404,type,
    sK1179: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2405,type,
    sK1180: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2406,type,
    sK1181: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2407,type,
    sK1182: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2408,type,
    sK1183: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2409,type,
    sK1184: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2410,type,
    sK1185: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2411,type,
    sK1186: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2412,type,
    sK1187: vEBT_VEBT > nat ).

tff(func_def_2413,type,
    sK1188: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2414,type,
    sK1189: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2415,type,
    sK1190: vEBT_VEBT > nat ).

tff(func_def_2416,type,
    sK1191: vEBT_VEBT > nat ).

tff(func_def_2417,type,
    sK1192: vEBT_VEBT > nat ).

tff(func_def_2418,type,
    sK1193: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2419,type,
    sK1194: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2420,type,
    sK1195: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2421,type,
    sK1196: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2422,type,
    sK1197: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2423,type,
    sK1198: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2424,type,
    sK1199: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2425,type,
    sK1200: vEBT_VEBT > nat ).

tff(func_def_2426,type,
    sK1201: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2427,type,
    sK1202: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2428,type,
    sK1203: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2429,type,
    sK1204: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2430,type,
    sK1205: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2431,type,
    sK1206: vEBT_VEBT > $o ).

tff(func_def_2432,type,
    sK1207: vEBT_VEBT > $o ).

tff(func_def_2433,type,
    sK1208: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2434,type,
    sK1209: vEBT_VEBT > nat ).

tff(func_def_2435,type,
    sK1210: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2436,type,
    sK1211: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2437,type,
    sK1212: vEBT_VEBT > $o ).

tff(func_def_2438,type,
    sK1213: vEBT_VEBT > $o ).

tff(func_def_2439,type,
    sK1214: ( nat * $o * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2440,type,
    sK1215: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2441,type,
    sK1216: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2442,type,
    sK1217: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2443,type,
    sK1218: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2444,type,
    sK1219: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2445,type,
    sK1220: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2446,type,
    sK1221: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2447,type,
    sK1222: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2448,type,
    sK1223: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2449,type,
    sK1224: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2450,type,
    sK1225: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2451,type,
    sK1226: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2452,type,
    sK1227: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2453,type,
    sK1228: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2454,type,
    sK1229: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2455,type,
    sK1230: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2456,type,
    sK1231: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2457,type,
    sK1232: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2458,type,
    sK1233: ( nat * $o * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2459,type,
    sK1234: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2460,type,
    sK1235: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2461,type,
    sK1236: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2462,type,
    sK1237: vEBT_VEBT > $o ).

tff(func_def_2463,type,
    sK1238: vEBT_VEBT > $o ).

tff(func_def_2464,type,
    sK1239: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2465,type,
    sK1240: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2466,type,
    sK1241: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2467,type,
    sK1242: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2468,type,
    sK1243: vEBT_VEBT > nat ).

tff(func_def_2469,type,
    sK1244: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2470,type,
    sK1245: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2471,type,
    sK1246: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2472,type,
    sK1247: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2473,type,
    sK1248: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2474,type,
    sK1249: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2475,type,
    sK1250: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2476,type,
    sK1251: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2477,type,
    sK1252: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2478,type,
    sK1253: vEBT_VEBT > $o ).

tff(func_def_2479,type,
    sK1254: vEBT_VEBT > $o ).

tff(func_def_2480,type,
    sK1255: produc9072475918466114483BT_nat > nat ).

tff(func_def_2481,type,
    sK1256: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2482,type,
    sK1257: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2483,type,
    sK1258: produc9072475918466114483BT_nat > nat ).

tff(func_def_2484,type,
    sK1259: produc9072475918466114483BT_nat > nat ).

tff(func_def_2485,type,
    sK1260: produc9072475918466114483BT_nat > nat ).

tff(func_def_2486,type,
    sK1261: produc9072475918466114483BT_nat > nat ).

tff(func_def_2487,type,
    sK1262: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2488,type,
    sK1263: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2489,type,
    sK1264: produc9072475918466114483BT_nat > nat ).

tff(func_def_2490,type,
    sK1265: produc9072475918466114483BT_nat > nat ).

tff(func_def_2491,type,
    sK1266: produc9072475918466114483BT_nat > nat ).

tff(func_def_2492,type,
    sK1267: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2493,type,
    sK1268: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2494,type,
    sK1269: produc9072475918466114483BT_nat > nat ).

tff(func_def_2495,type,
    sK1270: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2496,type,
    sK1271: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2497,type,
    sK1272: produc9072475918466114483BT_nat > nat ).

tff(func_def_2498,type,
    sK1273: produc9072475918466114483BT_nat > $o ).

tff(func_def_2499,type,
    sK1274: produc9072475918466114483BT_nat > $o ).

tff(func_def_2500,type,
    sK1275: produc9072475918466114483BT_nat > nat ).

tff(func_def_2501,type,
    sK1276: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2502,type,
    sK1277: produc9072475918466114483BT_nat > nat ).

tff(func_def_2503,type,
    sK1278: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2504,type,
    sK1279: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2505,type,
    sK1280: produc9072475918466114483BT_nat > nat ).

tff(func_def_2506,type,
    sK1281: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2507,type,
    sK1282: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2508,type,
    sK1283: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2509,type,
    sK1284: produc9072475918466114483BT_nat > nat ).

tff(func_def_2510,type,
    sK1285: produc9072475918466114483BT_nat > $o ).

tff(func_def_2511,type,
    sK1286: produc9072475918466114483BT_nat > $o ).

tff(func_def_2512,type,
    sK1287: produc9072475918466114483BT_nat > nat ).

tff(func_def_2513,type,
    sK1288: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2514,type,
    sK1289: produc9072475918466114483BT_nat > nat ).

tff(func_def_2515,type,
    sK1290: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2516,type,
    sK1291: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2517,type,
    sK1292: produc9072475918466114483BT_nat > nat ).

tff(func_def_2518,type,
    sK1293: produc9072475918466114483BT_nat > $o ).

tff(func_def_2519,type,
    sK1294: produc9072475918466114483BT_nat > $o ).

tff(func_def_2520,type,
    sK1295: produc9072475918466114483BT_nat > nat ).

tff(func_def_2521,type,
    sK1296: vEBT_VEBT > $o ).

tff(func_def_2522,type,
    sK1297: vEBT_VEBT > $o ).

tff(func_def_2523,type,
    sK1298: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2524,type,
    sK1299: vEBT_VEBT > nat ).

tff(func_def_2525,type,
    sK1300: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2526,type,
    sK1301: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2527,type,
    sK1302: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2528,type,
    sK1303: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2529,type,
    sK1304: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2530,type,
    sK1305: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2531,type,
    sK1306: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2532,type,
    sK1307: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2533,type,
    sK1308: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2534,type,
    sK1309: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2535,type,
    sK1310: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2536,type,
    sK1311: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2537,type,
    sK1312: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2538,type,
    sK1313: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2539,type,
    sK1314: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2540,type,
    sK1315: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2541,type,
    sK1316: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2542,type,
    sK1317: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2543,type,
    sK1318: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2544,type,
    sK1319: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2545,type,
    sK1320: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2546,type,
    sK1321: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2547,type,
    sK1322: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2548,type,
    sK1323: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2549,type,
    sK1324: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2550,type,
    sK1325: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2551,type,
    sK1326: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2552,type,
    sK1327: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2553,type,
    sK1328: vEBT_VEBT > $o ).

tff(func_def_2554,type,
    sK1329: vEBT_VEBT > $o ).

tff(func_def_2555,type,
    sK1330: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2556,type,
    sK1331: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2557,type,
    sK1332: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2558,type,
    sK1333: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2559,type,
    sK1334: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2560,type,
    sK1335: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2561,type,
    sK1336: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2562,type,
    sK1337: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2563,type,
    sK1338: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2564,type,
    sK1339: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2565,type,
    sK1340: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2566,type,
    sK1341: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2567,type,
    sK1342: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2568,type,
    sK1343: vEBT_VEBT > nat ).

tff(func_def_2569,type,
    sK1344: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2570,type,
    sK1345: list_VEBT_VEBT > nat ).

tff(func_def_2571,type,
    sK1346: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2572,type,
    sK1347: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2573,type,
    sK1348: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2574,type,
    sK1349: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2575,type,
    sK1350: vEBT_VEBT > nat ).

tff(func_def_2576,type,
    sK1351: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2577,type,
    sK1352: list_VEBT_VEBT > nat ).

tff(func_def_2578,type,
    sK1353: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2579,type,
    sK1354: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2580,type,
    sK1355: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2581,type,
    sK1356: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2582,type,
    sK1357: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2583,type,
    sK1358: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2584,type,
    sK1359: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2585,type,
    sK1360: list_VEBT_VEBT > nat ).

tff(func_def_2586,type,
    sK1361: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2587,type,
    sK1362: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2588,type,
    sK1363: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2589,type,
    sK1364: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2590,type,
    sK1365: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2591,type,
    sK1366: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2592,type,
    sK1367: list_VEBT_VEBT > nat ).

tff(func_def_2593,type,
    sK1368: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2594,type,
    sK1369: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2595,type,
    sK1370: vEBT_VEBT > $o ).

tff(func_def_2596,type,
    sK1371: vEBT_VEBT > $o ).

tff(func_def_2597,type,
    sK1372: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2598,type,
    sK1373: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2599,type,
    sK1374: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2600,type,
    sK1375: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2601,type,
    sK1376: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2602,type,
    sK1377: list_VEBT_VEBT > nat ).

tff(func_def_2603,type,
    sK1378: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2604,type,
    sK1379: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2605,type,
    sK1380: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2606,type,
    sK1381: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2607,type,
    sK1382: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2608,type,
    sK1383: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2609,type,
    sK1384: list_VEBT_VEBT > nat ).

tff(func_def_2610,type,
    sK1385: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2611,type,
    sK1386: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2612,type,
    sK1387: list_VEBT_VEBT > nat ).

tff(func_def_2613,type,
    sK1388: vEBT_VEBT > nat ).

tff(func_def_2614,type,
    sK1389: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2615,type,
    sK1390: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2616,type,
    sK1391: list_VEBT_VEBT > nat ).

tff(func_def_2617,type,
    sK1392: vEBT_VEBT > nat ).

tff(func_def_2618,type,
    sK1393: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2619,type,
    sK1394: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2620,type,
    sK1395: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2621,type,
    sK1396: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2622,type,
    sK1397: nat > nat ).

tff(func_def_2623,type,
    sK1398: vEBT_VEBT > nat ).

tff(func_def_2624,type,
    sK1399: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2625,type,
    sK1400: list_VEBT_VEBT > nat ).

tff(func_def_2626,type,
    sK1401: vEBT_VEBT > nat ).

tff(func_def_2627,type,
    sK1402: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2628,type,
    sK1403: list_VEBT_VEBT > nat ).

tff(func_def_2629,type,
    sK1404: vEBT_VEBT > nat ).

tff(func_def_2630,type,
    sK1405: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2631,type,
    sK1406: list_VEBT_VEBT > nat ).

tff(func_def_2632,type,
    sK1407: vEBT_VEBT > nat ).

tff(func_def_2633,type,
    sK1408: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2634,type,
    sK1409: list_VEBT_VEBT > nat ).

tff(func_def_2635,type,
    sK1410: vEBT_VEBT > nat ).

tff(func_def_2636,type,
    sK1411: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2637,type,
    sK1412: list_VEBT_VEBT > nat ).

tff(func_def_2638,type,
    sK1413: vEBT_VEBT > nat ).

tff(func_def_2639,type,
    sK1414: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2640,type,
    sK1415: list_VEBT_VEBT > nat ).

tff(func_def_2641,type,
    sK1416: vEBT_VEBT > nat ).

tff(func_def_2642,type,
    sK1417: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2643,type,
    sK1418: list_VEBT_VEBT > nat ).

tff(func_def_2644,type,
    sK1419: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2645,type,
    sK1420: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2646,type,
    sK1421: list_VEBT_VEBT > nat ).

tff(pred_def_1,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_2,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_3,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_4,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_5,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_6,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_7,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_8,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_9,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_10,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_11,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_12,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_13,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_14,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_15,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_16,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_17,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat * set_nat ) > $o ).

tff(pred_def_18,type,
    inj_on_nat_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_19,type,
    inj_on_nat_char: ( fun_nat_char * set_nat ) > $o ).

tff(pred_def_20,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_21,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_22,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_23,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_24,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_25,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_26,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_27,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_28,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_29,type,
    ord_le7866589430770878221at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_30,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_31,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_32,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_33,type,
    ord_le4409593196786536943plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_34,type,
    ord_less_fun_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_35,type,
    ord_less_fun_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_36,type,
    ord_le9073604597836486254_nat_o: ( fun_Pr4796943543331071514_nat_o * fun_Pr4796943543331071514_nat_o ) > $o ).

tff(pred_def_37,type,
    ord_less_fun_real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_38,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_39,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_40,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_41,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_42,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_43,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_44,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_45,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_46,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_47,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_48,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_49,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_50,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_51,type,
    ord_le7644322562001619171plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_52,type,
    ord_le5418975059635765733_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_53,type,
    ord_le7240017405068453697_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_54,type,
    ord_le1572679713340831354_nat_o: ( fun_Pr4796943543331071514_nat_o * fun_Pr4796943543331071514_nat_o ) > $o ).

tff(pred_def_55,type,
    ord_le3605727316730466277real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_56,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_57,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_58,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_59,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_60,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_61,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_62,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_63,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_64,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_65,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_66,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_67,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_68,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_69,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_70,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_71,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_72,type,
    topolo3100542954746470799et_int: fun_nat_set_int > $o ).

tff(pred_def_73,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_74,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_75,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_76,type,
    accp_P3113834385874906142um_num: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > $o ).

tff(pred_def_77,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_78,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_79,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_80,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_81,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_82,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_83,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_84,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_85,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_86,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_87,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_88,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_89,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_90,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_91,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_92,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_93,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_94,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_95,type,
    aa_set_int_o: ( fun_set_int_o * set_int ) > $o ).

tff(pred_def_96,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_97,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_98,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_99,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_100,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_101,type,
    member_list_o: ( list_o * set_list_o ) > $o ).

tff(pred_def_102,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_103,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_104,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_105,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_106,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_107,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_108,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_109,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_110,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_111,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_112,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_113,type,
    iG126: ( nat * $o ) > $o ).

tff(pred_def_114,type,
    iG127: ( nat * $o * $o ) > $o ).

tff(pred_def_115,type,
    iG181: ( num * rat * rat ) > $o ).

tff(pred_def_116,type,
    iG182: ( num * real * real ) > $o ).

tff(pred_def_117,type,
    iG183: ( num * complex * complex ) > $o ).

tff(pred_def_118,type,
    iG184: ( num * rat * rat ) > $o ).

tff(pred_def_119,type,
    iG185: ( num * real * real ) > $o ).

tff(pred_def_120,type,
    iG186: ( num * complex * complex ) > $o ).

tff(pred_def_121,type,
    iG257: ( rat * rat * rat ) > $o ).

tff(pred_def_122,type,
    iG258: ( real * real * real ) > $o ).

tff(pred_def_123,type,
    iG259: ( complex * complex * complex ) > $o ).

tff(pred_def_124,type,
    iG260: ( rat * rat * rat ) > $o ).

tff(pred_def_125,type,
    iG261: ( real * real * real ) > $o ).

tff(pred_def_126,type,
    iG262: ( complex * complex * complex ) > $o ).

tff(pred_def_127,type,
    iG274: ( rat * rat * rat ) > $o ).

tff(pred_def_128,type,
    iG275: ( rat * rat * rat ) > $o ).

tff(pred_def_129,type,
    iG276: ( real * real * real ) > $o ).

tff(pred_def_130,type,
    iG277: ( real * real * real ) > $o ).

tff(pred_def_131,type,
    iG278: ( rat * rat * rat ) > $o ).

tff(pred_def_132,type,
    iG279: ( rat * rat * rat ) > $o ).

tff(pred_def_133,type,
    iG280: ( real * real * real ) > $o ).

tff(pred_def_134,type,
    iG281: ( real * real * real ) > $o ).

tff(pred_def_135,type,
    iG282: ( rat * num * rat ) > $o ).

tff(pred_def_136,type,
    iG283: ( real * num * real ) > $o ).

tff(pred_def_137,type,
    iG284: ( complex * num * complex ) > $o ).

tff(pred_def_138,type,
    iG285: ( rat * num * rat ) > $o ).

tff(pred_def_139,type,
    iG286: ( real * num * real ) > $o ).

tff(pred_def_140,type,
    iG287: ( complex * num * complex ) > $o ).

tff(pred_def_141,type,
    iG294: ( real * real * real ) > $o ).

tff(pred_def_142,type,
    iG295: ( real * real * real ) > $o ).

tff(pred_def_143,type,
    iG296: ( rat * rat * rat ) > $o ).

tff(pred_def_144,type,
    iG297: ( rat * rat * rat ) > $o ).

tff(pred_def_145,type,
    iG298: ( real * real * real ) > $o ).

tff(pred_def_146,type,
    iG299: ( real * real * real ) > $o ).

tff(pred_def_147,type,
    iG300: ( rat * rat * rat ) > $o ).

tff(pred_def_148,type,
    iG301: ( rat * rat * rat ) > $o ).

tff(pred_def_149,type,
    iG302: ( rat * num * rat ) > $o ).

tff(pred_def_150,type,
    iG303: ( rat * num * rat ) > $o ).

tff(pred_def_151,type,
    iG304: ( real * num * real ) > $o ).

tff(pred_def_152,type,
    iG305: ( real * num * real ) > $o ).

tff(pred_def_153,type,
    iG306: ( rat * num * rat ) > $o ).

tff(pred_def_154,type,
    iG307: ( rat * num * rat ) > $o ).

tff(pred_def_155,type,
    iG308: ( real * num * real ) > $o ).

tff(pred_def_156,type,
    iG309: ( real * num * real ) > $o ).

tff(pred_def_157,type,
    iG312: ( real * num * real ) > $o ).

tff(pred_def_158,type,
    iG313: ( real * num * real ) > $o ).

tff(pred_def_159,type,
    iG314: ( rat * num * rat ) > $o ).

tff(pred_def_160,type,
    iG315: ( rat * num * rat ) > $o ).

tff(pred_def_161,type,
    iG316: ( real * num * real ) > $o ).

tff(pred_def_162,type,
    iG317: ( real * num * real ) > $o ).

tff(pred_def_163,type,
    iG318: ( rat * num * rat ) > $o ).

tff(pred_def_164,type,
    iG319: ( rat * num * rat ) > $o ).

tff(pred_def_165,type,
    iG335: ( int * int * int ) > $o ).

tff(pred_def_166,type,
    iG336: ( int * int * int ) > $o ).

tff(pred_def_167,type,
    iG385: ( num * real * real ) > $o ).

tff(pred_def_168,type,
    iG386: ( num * complex * complex ) > $o ).

tff(pred_def_169,type,
    iG387: ( num * rat * rat ) > $o ).

tff(pred_def_170,type,
    iG388: ( num * real * real ) > $o ).

tff(pred_def_171,type,
    iG389: ( num * complex * complex ) > $o ).

tff(pred_def_172,type,
    iG390: ( num * rat * rat ) > $o ).

tff(pred_def_173,type,
    iG407: ( real * real * real ) > $o ).

tff(pred_def_174,type,
    iG408: ( complex * complex * complex ) > $o ).

tff(pred_def_175,type,
    iG409: ( rat * rat * rat ) > $o ).

tff(pred_def_176,type,
    iG410: ( real * real * real ) > $o ).

tff(pred_def_177,type,
    iG411: ( complex * complex * complex ) > $o ).

tff(pred_def_178,type,
    iG412: ( rat * rat * rat ) > $o ).

tff(pred_def_179,type,
    iG415: ( real * real * real ) > $o ).

tff(pred_def_180,type,
    iG416: ( real * real * real ) > $o ).

tff(pred_def_181,type,
    iG417: ( rat * rat * rat ) > $o ).

tff(pred_def_182,type,
    iG418: ( rat * rat * rat ) > $o ).

tff(pred_def_183,type,
    iG419: ( real * real * real ) > $o ).

tff(pred_def_184,type,
    iG420: ( real * real * real ) > $o ).

tff(pred_def_185,type,
    iG421: ( rat * rat * rat ) > $o ).

tff(pred_def_186,type,
    iG422: ( rat * rat * rat ) > $o ).

tff(pred_def_187,type,
    iG423: ( real * num * real ) > $o ).

tff(pred_def_188,type,
    iG424: ( complex * num * complex ) > $o ).

tff(pred_def_189,type,
    iG425: ( rat * num * rat ) > $o ).

tff(pred_def_190,type,
    iG426: ( real * num * real ) > $o ).

tff(pred_def_191,type,
    iG427: ( complex * num * complex ) > $o ).

tff(pred_def_192,type,
    iG428: ( rat * num * rat ) > $o ).

tff(pred_def_193,type,
    iG438: ( real * real * real ) > $o ).

tff(pred_def_194,type,
    iG439: ( real * real * real ) > $o ).

tff(pred_def_195,type,
    iG440: ( rat * rat * rat ) > $o ).

tff(pred_def_196,type,
    iG441: ( rat * rat * rat ) > $o ).

tff(pred_def_197,type,
    iG442: ( real * real * real ) > $o ).

tff(pred_def_198,type,
    iG443: ( real * real * real ) > $o ).

tff(pred_def_199,type,
    iG444: ( rat * rat * rat ) > $o ).

tff(pred_def_200,type,
    iG445: ( rat * rat * rat ) > $o ).

tff(pred_def_201,type,
    iG446: ( real * num * real ) > $o ).

tff(pred_def_202,type,
    iG447: ( real * num * real ) > $o ).

tff(pred_def_203,type,
    iG448: ( rat * num * rat ) > $o ).

tff(pred_def_204,type,
    iG449: ( rat * num * rat ) > $o ).

tff(pred_def_205,type,
    iG450: ( real * num * real ) > $o ).

tff(pred_def_206,type,
    iG451: ( real * num * real ) > $o ).

tff(pred_def_207,type,
    iG452: ( rat * num * rat ) > $o ).

tff(pred_def_208,type,
    iG453: ( rat * num * rat ) > $o ).

tff(pred_def_209,type,
    iG463: ( real * num * real ) > $o ).

tff(pred_def_210,type,
    iG464: ( real * num * real ) > $o ).

tff(pred_def_211,type,
    iG465: ( rat * num * rat ) > $o ).

tff(pred_def_212,type,
    iG466: ( rat * num * rat ) > $o ).

tff(pred_def_213,type,
    iG467: ( real * num * real ) > $o ).

tff(pred_def_214,type,
    iG468: ( real * num * real ) > $o ).

tff(pred_def_215,type,
    iG469: ( rat * num * rat ) > $o ).

tff(pred_def_216,type,
    iG470: ( rat * num * rat ) > $o ).

tff(pred_def_217,type,
    iG541: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_218,type,
    iG542: ( nat * int * int ) > $o ).

tff(pred_def_219,type,
    iG543: ( nat * nat * nat ) > $o ).

tff(pred_def_220,type,
    iG544: ( nat * code_integer ) > $o ).

tff(pred_def_221,type,
    iG545: ( nat * int ) > $o ).

tff(pred_def_222,type,
    iG546: ( nat * nat ) > $o ).

tff(pred_def_223,type,
    iG616: ( int * nat ) > $o ).

tff(pred_def_224,type,
    iG617: ( int * nat ) > $o ).

tff(pred_def_225,type,
    iG619: ( int * nat ) > $o ).

tff(pred_def_226,type,
    iG640: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_227,type,
    iG642: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_228,type,
    iG646: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_229,type,
    iG648: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_230,type,
    iG687: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_231,type,
    iG689: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_232,type,
    iG691: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_233,type,
    iG693: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_234,type,
    iG694: ( nat * $o ) > $o ).

tff(pred_def_235,type,
    iG695: ( nat * $o * $o ) > $o ).

tff(pred_def_236,type,
    iG699: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_237,type,
    iG700: ( nat * $o ) > $o ).

tff(pred_def_238,type,
    iG701: ( nat * $o * $o ) > $o ).

tff(pred_def_239,type,
    iG705: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_240,type,
    iG706: ( nat * $o ) > $o ).

tff(pred_def_241,type,
    iG707: ( nat * $o * $o ) > $o ).

tff(pred_def_242,type,
    iG711: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_243,type,
    iG713: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_244,type,
    iG751: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_245,type,
    iG757: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_246,type,
    iG759: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_247,type,
    iG765: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_248,type,
    iG767: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_249,type,
    iG769: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG770: ( nat * $o ) > $o ).

tff(pred_def_251,type,
    iG771: ( nat * $o * $o ) > $o ).

tff(pred_def_252,type,
    iG777: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG778: ( nat * $o ) > $o ).

tff(pred_def_254,type,
    iG779: ( nat * $o * $o ) > $o ).

tff(pred_def_255,type,
    iG937: ( real * real * real ) > $o ).

tff(pred_def_256,type,
    iG1034: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_257,type,
    sP1035: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_258,type,
    sP1036: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_259,type,
    sP1037: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * option4927543243414619207at_nat * $o ) > $o ).

tff(pred_def_260,type,
    sP1038: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_261,type,
    sP1039: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_262,type,
    sP1040: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_263,type,
    sP1041: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_264,type,
    sP1042: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_265,type,
    sP1043: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_266,type,
    sP1044: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_267,type,
    sP1045: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_268,type,
    sP1046: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_269,type,
    sP1047: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_270,type,
    sP1048: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_271,type,
    sP1049: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_272,type,
    sP1050: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_273,type,
    sP1051: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_274,type,
    sP1052: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_275,type,
    sP1053: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_276,type,
    sP1054: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_277,type,
    sP1055: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_278,type,
    sP1056: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_279,type,
    sP1057: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_280,type,
    sP1058: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_281,type,
    sP1059: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_282,type,
    sP1060: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_283,type,
    sP1061: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_284,type,
    sP1062: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_285,type,
    sP1063: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_286,type,
    sP1064: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_287,type,
    sP1065: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_288,type,
    sP1066: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_289,type,
    sP1067: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_290,type,
    sP1068: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_291,type,
    sP1069: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_292,type,
    sP1070: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_293,type,
    sP1071: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_294,type,
    sP1072: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_295,type,
    sP1073: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_296,type,
    sP1074: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_297,type,
    sP1075: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_298,type,
    sP1076: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_299,type,
    sP1077: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(f1,axiom,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1)
    <=> ( aa_nat_o(vEBT_V5719532721284313246member(X0),X1)
        | aa_nat_o(vEBT_VEBT_membermima(X0),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_both__member__options__def) ).

tff(f8,axiom,
    ( aa_nat_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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_o(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f9,axiom,
    ( aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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_o(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f11,axiom,
    ( aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062) ).

tff(f10720,conjecture,
    aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10721,negated_conjecture,
    ~ aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    inference(negated_conjecture,[status(cth)],[f10720]) ).

tff(f12693,plain,
    ~ aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    inference(flattening,[],[f10721]) ).

tff(f12801,plain,
    ( aa_nat_o(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)
    | ~ aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f12802,plain,
    ( aa_nat_o(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)
    | ~ aa_nat_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f13105,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1)
        | ( ~ aa_nat_o(vEBT_V5719532721284313246member(X0),X1)
          & ~ aa_nat_o(vEBT_VEBT_membermima(X0),X1) ) )
      & ( aa_nat_o(vEBT_V5719532721284313246member(X0),X1)
        | aa_nat_o(vEBT_VEBT_membermima(X0),X1)
        | ~ aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

tff(f13106,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1)
        | ( ~ aa_nat_o(vEBT_V5719532721284313246member(X0),X1)
          & ~ aa_nat_o(vEBT_VEBT_membermima(X0),X1) ) )
      & ( aa_nat_o(vEBT_V5719532721284313246member(X0),X1)
        | aa_nat_o(vEBT_VEBT_membermima(X0),X1)
        | ~ aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1) ) ),
    inference(flattening,[],[f13105]) ).

tff(f13139,plain,
    ~ aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    inference(cnf_transformation,[],[f12693]) ).

tff(f13532,plain,
    ( aa_nat_o(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)
    | ~ aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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,[],[f12801]) ).

tff(f13533,plain,
    ( aa_nat_o(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)
    | ~ aa_nat_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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,[],[f12802]) ).

tff(f13566,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1)
      | ~ aa_nat_o(vEBT_VEBT_membermima(X0),X1) ),
    inference(cnf_transformation,[],[f13106]) ).

tff(f13567,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( aa_nat_o(vEBT_V8194947554948674370ptions(X0),X1)
      | ~ aa_nat_o(vEBT_V5719532721284313246member(X0),X1) ),
    inference(cnf_transformation,[],[f13106]) ).

tff(f13607,plain,
    ( aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),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,[],[f11]) ).

tff(f13779,definition,
    ( spl1422_1
  <=> aa_nat_o(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) ),
    introduced(definition,[new_symbols(definition,[spl1422_1])],[avatar_definition]) ).

tff(f13783,definition,
    ( spl1422_2
  <=> aa_nat_o(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),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_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) ),
    introduced(definition,[new_symbols(definition,[spl1422_2])],[avatar_definition]) ).

tff(f13786,plain,
    ( spl1422_1
    | spl1422_2 ),
    inference(avatar_split_clause,[],[f13607,f13783,f13779]) ).

tff(f13805,definition,
    ( spl1422_6
  <=> aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) ),
    introduced(definition,[new_symbols(definition,[spl1422_6])],[avatar_definition]) ).

tff(f13806,plain,
    ( ~ aa_nat_o(vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x)
    | spl1422_6 ),
    inference(avatar_component_clause,[],[f13805]) ).

tff(f13810,definition,
    ( spl1422_7
  <=> aa_nat_o(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x) ),
    introduced(definition,[new_symbols(definition,[spl1422_7])],[avatar_definition]) ).

tff(f13813,plain,
    ( ~ spl1422_1
    | spl1422_7 ),
    inference(avatar_split_clause,[],[f13533,f13810,f13779]) ).

tff(f13815,definition,
    ( spl1422_8
  <=> aa_nat_o(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x) ),
    introduced(definition,[new_symbols(definition,[spl1422_8])],[avatar_definition]) ).

tff(f13818,plain,
    ( ~ spl1422_2
    | spl1422_8 ),
    inference(avatar_split_clause,[],[f13532,f13815,f13783]) ).

tff(f13824,plain,
    ~ spl1422_6,
    inference(avatar_split_clause,[],[f13139,f13805]) ).

tff(f13876,plain,
    ( ~ aa_nat_o(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)
    | spl1422_6 ),
    inference(resolution,[],[f13806,f13567]) ).

tff(f13877,plain,
    ( ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)
    | spl1422_6 ),
    inference(resolution,[],[f13806,f13566]) ).

tff(f13878,plain,
    ( ~ spl1422_8
    | spl1422_6 ),
    inference(avatar_split_clause,[],[f13877,f13805,f13815]) ).

tff(f13879,plain,
    ( ~ spl1422_7
    | spl1422_6 ),
    inference(avatar_split_clause,[],[f13876,f13805,f13810]) ).

cnf(s1,plain,
    ( spl1422_1
    | spl1422_2 ),
    inference(sat_conversion,[],[f13786]) ).

cnf(s4,plain,
    ( ~ spl1422_1
    | spl1422_7 ),
    inference(sat_conversion,[],[f13813]) ).

cnf(s5,plain,
    ( ~ spl1422_2
    | spl1422_8 ),
    inference(sat_conversion,[],[f13818]) ).

cnf(s7,plain,
    ~ spl1422_6,
    inference(sat_conversion,[],[f13824]) ).

cnf(s15,plain,
    ( spl1422_6
    | ~ spl1422_8 ),
    inference(sat_conversion,[],[f13878]) ).

cnf(s16,plain,
    ( spl1422_6
    | ~ spl1422_7 ),
    inference(sat_conversion,[],[f13879]) ).

cnf(s17,plain,
    ~ spl1422_7,
    inference(rat,[],[s16,s7]) ).

cnf(s18,plain,
    ~ spl1422_8,
    inference(rat,[],[s15,s7]) ).

cnf(s20,plain,
    ~ spl1422_2,
    inference(rat,[],[s5,s18]) ).

cnf(s21,plain,
    ~ spl1422_1,
    inference(rat,[],[s4,s17]) ).

cnf(s23,plain,
    $false,
    inference(rat,[],[s1,s20,s21]) ).

tff(f13880,plain,
    $false,
    inference(avatar_sat_refutation,[],[s23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP221_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n019.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 12:27:04 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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
% 12.00/2.79  % (3021728)Detected formulas, will run a generic FOF schedule.
% 12.00/2.79  % (3021752)dis-21_1_sil=8000:lcm=predicate:random_seed=4171745087:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 12.00/2.79  % (3021752)Instruction limit reached! 
% 12.00/2.79  % (3021752)------------------------------
% 12.00/2.79  % (3021752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.79  % (3021752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.79  % (3021752)CaDiCaL version: 2.1.3
% 12.00/2.79  % (3021752)Termination reason: Instruction limit
% 12.00/2.79  % (3021752)Termination phase: Property scanning
% 12.00/2.79  % (3021752)Time elapsed: 0.037 s
% 12.00/2.79  % (3021752)Peak memory usage: 97 MB
% 12.00/2.79  % (3021752)Instructions burned: 131 (million)
% 12.00/2.79  % (3021749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3249120561:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 12.00/2.79  % (3021748)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=2396278230:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 12.00/2.79  % (3021746)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=1228109546:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 12.00/2.79  % (3021747)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=2614277882:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 12.00/2.79  % (3021751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=117555455:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 12.00/2.79  % (3021751)Instruction limit reached! 
% 12.00/2.79  % (3021751)------------------------------
% 12.00/2.79  % (3021751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.79  % (3021751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.79  % (3021751)CaDiCaL version: 2.1.3
% 12.00/2.79  % (3021751)Termination reason: Instruction limit
% 12.00/2.79  % (3021751)Termination phase: Property scanning
% 12.00/2.79  % (3021751)Time elapsed: 0.055 s
% 12.00/2.79  % (3021751)Peak memory usage: 94 MB
% 12.00/2.79  % (3021751)Instructions burned: 139 (million)
% 12.00/2.79  % (3021750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=177969382:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 12.00/2.79  % (3021749)Instruction limit reached! 
% 12.00/2.79  % (3021749)------------------------------
% 12.00/2.79  % (3021749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.79  % (3021749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.79  % (3021749)CaDiCaL version: 2.1.3
% 12.00/2.79  % (3021749)Termination reason: Instruction limit
% 12.00/2.79  % (3021749)Termination phase: Property scanning
% 12.00/2.79  % (3021749)Time elapsed: 0.057 s
% 12.00/2.79  % (3021749)Peak memory usage: 97 MB
% 12.00/2.79  % (3021749)Instructions burned: 112 (million)
% 12.00/2.79  % (3021750)Instruction limit reached! 
% 12.00/2.79  % (3021750)------------------------------
% 12.00/2.79  % (3021750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.79  % (3021750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.79  % (3021750)CaDiCaL version: 2.1.3
% 12.00/2.79  % (3021750)Termination reason: Instruction limit
% 12.00/2.79  % (3021750)Termination phase: Property scanning
% 12.00/2.79  % (3021750)Time elapsed: 0.034 s
% 12.00/2.79  % (3021750)Peak memory usage: 97 MB
% 12.00/2.79  % (3021750)Instructions burned: 123 (million)
% 12.00/2.79  % (3021760)lrs+10_1_sil=8000:sp=occurrence:random_seed=2566825977:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 12.00/2.79  % (3021763)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1626527324:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 12.00/2.79  % (3021762)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2341311676:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 12.00/2.79  % (3021764)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=1349734236:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 12.00/2.79  % (3021762)Instruction limit reached! 
% 13.62/4.03  % (3021762)------------------------------
% 13.62/4.03  % (3021762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021762)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021762)Termination reason: Instruction limit
% 13.62/4.03  % (3021762)Termination phase: Property scanning
% 13.62/4.03  % (3021762)Time elapsed: 0.061 s
% 13.62/4.03  % (3021762)Peak memory usage: 94 MB
% 13.62/4.03  % (3021762)Instructions burned: 158 (million)
% 13.62/4.03  % (3021764)Instruction limit reached! 
% 13.62/4.03  % (3021764)------------------------------
% 13.62/4.03  % (3021764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021764)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021764)Termination reason: Instruction limit
% 13.62/4.03  % (3021764)Termination phase: Initialization
% 13.62/4.03  % (3021764)Time elapsed: 0.059 s
% 13.62/4.03  % (3021764)Peak memory usage: 97 MB
% 13.62/4.03  % (3021764)Instructions burned: 250 (million)
% 13.62/4.03  % (3021763)Instruction limit reached! 
% 13.62/4.03  % (3021763)------------------------------
% 13.62/4.03  % (3021763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021763)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021763)Termination reason: Instruction limit
% 13.62/4.03  % (3021763)Termination phase: Preprocessing 3
% 13.62/4.03  % (3021763)Time elapsed: 0.164 s
% 13.62/4.03  % (3021763)Peak memory usage: 98 MB
% 13.62/4.03  % (3021763)Instructions burned: 326 (million)
% 13.62/4.03  % (3021770)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4078052357:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.62/4.03  % (3021760)Instruction limit reached! 
% 13.62/4.03  % (3021760)------------------------------
% 13.62/4.03  % (3021760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021760)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021760)Termination reason: Instruction limit
% 13.62/4.03  % (3021760)Termination phase: SInE selection
% 13.62/4.03  % (3021760)Time elapsed: 0.216 s
% 13.62/4.03  % (3021760)Peak memory usage: 97 MB
% 13.62/4.03  % (3021760)Instructions burned: 286 (million)
% 13.62/4.03  % (3021769)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3276460386:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 13.62/4.03  % (3021771)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3627200944:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.62/4.03  % (3021769)Instruction limit reached! 
% 13.62/4.03  % (3021769)------------------------------
% 13.62/4.03  % (3021769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021769)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021769)Termination reason: Instruction limit
% 13.62/4.03  % (3021769)Termination phase: SInE selection
% 13.62/4.03  % (3021769)Time elapsed: 0.138 s
% 13.62/4.03  % (3021769)Peak memory usage: 97 MB
% 13.62/4.03  % (3021769)Instructions burned: 294 (million)
% 13.62/4.03  % (3021773)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1189402476:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.62/4.03  % (3021771)Instruction limit reached! 
% 13.62/4.03  % (3021771)------------------------------
% 13.62/4.03  % (3021771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021771)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021771)Termination reason: Instruction limit
% 13.62/4.03  % (3021771)Termination phase: Property scanning
% 13.62/4.03  % (3021771)Time elapsed: 0.059 s
% 13.62/4.03  % (3021771)Peak memory usage: 97 MB
% 13.62/4.03  % (3021771)Instructions burned: 114 (million)
% 13.62/4.03  % (3021773)Instruction limit reached! 
% 13.62/4.03  % (3021773)------------------------------
% 13.62/4.03  % (3021773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021773)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021773)Termination reason: Instruction limit
% 13.62/4.03  % (3021773)Termination phase: Property scanning
% 13.62/4.03  % (3021773)Time elapsed: 0.065 s
% 13.62/4.03  % (3021773)Peak memory usage: 97 MB
% 13.62/4.03  % (3021773)Instructions burned: 128 (million)
% 13.62/4.03  % (3021776)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=912706075:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.62/4.03  % (3021778)lrs+10_1_sil=8000:sp=occurrence:random_seed=1263600129:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.62/4.03  % (3021776)Instruction limit reached! 
% 13.62/4.03  % (3021776)------------------------------
% 13.62/4.03  % (3021776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021776)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021776)Termination reason: Instruction limit
% 13.62/4.03  % (3021776)Termination phase: Property scanning
% 13.62/4.03  % (3021776)Time elapsed: 0.045 s
% 13.62/4.03  % (3021776)Peak memory usage: 94 MB
% 13.62/4.03  % (3021776)Instructions burned: 116 (million)
% 13.62/4.03  % (3021779)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1375119853:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.62/4.03  % (3021782)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2705905717:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 13.62/4.03  % (3021779)Instruction limit reached! 
% 13.62/4.03  % (3021779)------------------------------
% 13.62/4.03  % (3021779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021779)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021779)Termination reason: Instruction limit
% 13.62/4.03  % (3021779)Termination phase: Preprocessing 3
% 13.62/4.03  % (3021779)Time elapsed: 0.272 s
% 13.62/4.03  % (3021779)Peak memory usage: 102 MB
% 13.62/4.03  % (3021779)Instructions burned: 438 (million)
% 13.62/4.03  % (3021778)Instruction limit reached! 
% 13.62/4.03  % (3021778)------------------------------
% 13.62/4.03  % (3021778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021778)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021778)Termination reason: Instruction limit
% 13.62/4.03  % (3021778)Termination phase: Saturation
% 13.62/4.03  % (3021778)Time elapsed: 0.453 s
% 13.62/4.03  % (3021778)Peak memory usage: 106 MB
% 13.62/4.03  % (3021778)Instructions burned: 907 (million)
% 13.62/4.03  % (3021770)Instruction limit reached! 
% 13.62/4.03  % (3021770)------------------------------
% 13.62/4.03  % (3021770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021770)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021770)Termination reason: Instruction limit
% 13.62/4.03  % (3021770)Termination phase: Saturation
% 13.62/4.03  % (3021770)Time elapsed: 0.815 s
% 13.62/4.03  % (3021770)Peak memory usage: 242 MB
% 13.62/4.03  % (3021770)Instructions burned: 2351 (million)
% 13.62/4.03  % (3021785)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=357109352:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 13.62/4.03  % (3021787)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3172493265:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 13.62/4.03  % (3021786)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1112368344:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 13.62/4.03  % (3021785)Instruction limit reached! 
% 13.62/4.03  % (3021785)------------------------------
% 13.62/4.03  % (3021785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021785)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021785)Termination reason: Instruction limit
% 13.62/4.03  % (3021785)Termination phase: NewCNF
% 13.62/4.03  % (3021785)Time elapsed: 0.150 s
% 13.62/4.03  % (3021785)Peak memory usage: 98 MB
% 13.62/4.03  % (3021785)Instructions burned: 134 (million)
% 13.62/4.03  % (3021800)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=2090360113:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 13.62/4.03  % (3021800)Instruction limit reached! 
% 13.62/4.03  % (3021800)------------------------------
% 13.62/4.03  % (3021800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021800)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021800)Termination reason: Instruction limit
% 13.62/4.03  % (3021800)Termination phase: Property scanning
% 13.62/4.03  % (3021800)Time elapsed: 0.101 s
% 13.62/4.03  % (3021800)Peak memory usage: 94 MB
% 13.62/4.03  % (3021800)Instructions burned: 126 (million)
% 13.62/4.03  % (3021786)Instruction limit reached! 
% 13.62/4.03  % (3021786)------------------------------
% 13.62/4.03  % (3021786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021786)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021786)Termination reason: Instruction limit
% 13.62/4.03  % (3021786)Termination phase: Property scanning
% 13.62/4.03  % (3021786)Time elapsed: 0.550 s
% 13.62/4.03  % (3021786)Peak memory usage: 104 MB
% 13.62/4.03  % (3021786)Instructions burned: 593 (million)
% 13.62/4.03  % (3021811)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4256470720:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 13.62/4.03  % (3021811)Instruction limit reached! 
% 13.62/4.03  % (3021811)------------------------------
% 13.62/4.03  % (3021811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021811)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021811)Termination reason: Instruction limit
% 13.62/4.03  % (3021811)Termination phase: Property scanning
% 13.62/4.03  % (3021811)Time elapsed: 0.110 s
% 13.62/4.03  % (3021811)Peak memory usage: 94 MB
% 13.62/4.03  % (3021811)Instructions burned: 134 (million)
% 13.62/4.03  % (3021816)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2154046392:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 13.62/4.03  % (3021816)Refutation not found, incomplete strategy
% 13.62/4.03  % (3021816)------------------------------
% 13.62/4.03  % (3021816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/4.03  % (3021816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/4.03  % (3021816)CaDiCaL version: 2.1.3
% 13.62/4.03  % (3021816)Termination reason: Refutation not found, incomplete strategy
% 13.62/4.03  % (3021816)Time elapsed: 0.073 s
% 13.62/4.03  % (3021816)Peak memory usage: 98 MB
% 13.62/4.03  % (3021816)Instructions burned: 65 (million)
% 13.62/4.03  % (3021821)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1885465583:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 13.62/4.03  % (3021816)------------------------------
% 13.62/4.03  % (3021816)------------------------------
% 13.62/4.03  % (3021821)First to succeed.
% 13.62/4.03  % (3021821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3021728"
% 13.62/4.03  % (3021826)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=1154903834:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 13.62/4.03  % (3021782)Also succeeded, but the first one will report.
% 13.62/4.03  % (3021821)Refutation found. Thanks to Tanya!
% 13.62/4.03  % SZS status Theorem for theBenchmark
% 13.62/4.03  % SZS output start Proof for theBenchmark
% See solution above
% 22.52/4.24  % (3021821)------------------------------
% 22.52/4.24  % (3021821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.52/4.24  % (3021821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.52/4.24  % (3021821)CaDiCaL version: 2.1.3
% 22.52/4.24  % (3021821)Termination reason: Refutation
% 22.52/4.24  % (3021821)Time elapsed: 0.212 s
% 22.52/4.24  % (3021821)Peak memory usage: 102 MB
% 22.52/4.24  % (3021821)Instructions burned: 395 (million)
% 22.52/4.24  % (3021821)------------------------------
% 22.52/4.24  % (3021821)------------------------------
% 22.52/4.24  % (3021728)Success in time 3.399 s
% 22.52/4.24  % Vampire exiting
%------------------------------------------------------------------------------