Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 11:30:43 AM UTC 2026

% Result   : ContradictoryAxioms 7.84s 2.75s
% Output   : Refutation 9.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (  29 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   27 (  12   ~;   9   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :  334 ( 333 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  124 ( 122 usr;   1 prp; 0-6 aty)
%            Number of functors    : 1829 (1829 usr; 419 con; 0-8 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_6,type,
    fun_fu2754956555950464963t_bool: $tType ).

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

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

tff(type_def_9,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_10,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_11,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_12,type,
    fun_fu2194082084716825453t_bool: $tType ).

tff(type_def_13,type,
    fun_op5682630191948829869t_bool: $tType ).

tff(type_def_14,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_15,type,
    fun_Pr1308109350235310159nt_int: $tType ).

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

tff(type_def_17,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_18,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_19,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_20,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_21,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_22,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_23,type,
    fun_fu1584491925252458057omplex: $tType ).

tff(type_def_24,type,
    fun_fu762719556336274221l_bool: $tType ).

tff(type_def_25,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_26,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_27,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_28,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_29,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_30,type,
    fun_op775672374849087042m_bool: $tType ).

tff(type_def_31,type,
    fun_op7732454363416259258t_bool: $tType ).

tff(type_def_32,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_33,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_34,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_35,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_36,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_37,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_38,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_39,type,
    fun_co3732688428756473980omplex: $tType ).

tff(type_def_40,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_41,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_42,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_43,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_44,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_45,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_46,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_47,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_48,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_49,type,
    fun_Co8502721031311864414nteger: $tType ).

tff(type_def_50,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_51,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_52,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_53,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_54,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_55,type,
    fun_fu1617006900395023197t_real: $tType ).

tff(type_def_56,type,
    fun_fu4528473944208963392omplex: $tType ).

tff(type_def_57,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_58,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_59,type,
    fun_fu5354524256550068955t_real: $tType ).

tff(type_def_60,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_61,type,
    fun_fu3477889739401271834t_real: $tType ).

tff(type_def_62,type,
    fun_fu1590586450949517859at_nat: $tType ).

tff(type_def_63,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_64,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_65,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_66,type,
    fun_re6135230694098607860t_real: $tType ).

tff(type_def_67,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_68,type,
    fun_fu8064956510386623256t_real: $tType ).

tff(type_def_69,type,
    fun_re7819166435457029784t_real: $tType ).

tff(type_def_70,type,
    fun_fu4806068833880117316t_real: $tType ).

tff(type_def_71,type,
    fun_fu2115079063411676732t_real: $tType ).

tff(type_def_72,type,
    fun_fu4540635375566031512t_real: $tType ).

tff(type_def_73,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_74,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_75,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_76,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_77,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_78,type,
    fun_fu8968174646369908141x_real: $tType ).

tff(type_def_79,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_80,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_81,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_82,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_83,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_84,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_85,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_86,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_87,type,
    fun_ra8505079968215247908at_rat: $tType ).

tff(type_def_88,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_89,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_90,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_91,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_92,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_93,type,
    fun_op1962577433978643573m_bool: $tType ).

tff(type_def_94,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_95,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_96,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_97,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_98,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_99,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_100,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_101,type,
    fun_op2627489687811228755t_bool: $tType ).

tff(type_def_102,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_103,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_104,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_105,type,
    fun_fu4213752561377164075ex_int: $tType ).

tff(type_def_106,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_107,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_108,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_109,type,
    fun_fu6344110373156359337l_real: $tType ).

tff(type_def_110,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_111,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_112,type,
    fun_fu3594690983434520489t_real: $tType ).

tff(type_def_113,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_114,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_115,type,
    fun_fu4781654129426620053omplex: $tType ).

tff(type_def_116,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_117,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_118,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_119,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_120,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_121,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_122,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_123,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_124,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_125,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_126,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_127,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_128,type,
    list_P8603913368774139775r_bool: $tType ).

tff(type_def_129,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_130,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_131,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_132,type,
    fun_fu3737244727311182119al_int: $tType ).

tff(type_def_133,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_134,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_135,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_136,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_137,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_138,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_139,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_140,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_141,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_142,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_143,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_144,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_145,type,
    fun_fu622952192041312191at_rat: $tType ).

tff(type_def_146,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_147,type,
    fun_fu4512855384587262995at_int: $tType ).

tff(type_def_148,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_149,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_150,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_151,type,
    fun_fu6415725884910174923nt_int: $tType ).

tff(type_def_152,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_153,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_154,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_155,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_156,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_157,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_158,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_159,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_160,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_161,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_162,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_163,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_164,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_165,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_166,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_167,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_168,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_169,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_170,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_171,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_172,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_173,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_174,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_175,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_176,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_177,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_178,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_179,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_180,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_181,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_182,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_183,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_184,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_185,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_186,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_187,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_188,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_189,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_190,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_191,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_192,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_193,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_194,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_195,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_196,type,
    fun_na5723442673449079972x_real: $tType ).

tff(type_def_197,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_198,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_199,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_200,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_201,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_202,type,
    fun_fu7307090382573344987l_bool: $tType ).

tff(type_def_203,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_204,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_205,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_206,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_207,type,
    fun_bo1841576699660343469l_bool: $tType ).

tff(type_def_208,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

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

tff(type_def_212,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_213,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_235,type,
    fun_co8153928105989009288nteger: $tType ).

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

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

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

tff(type_def_239,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_241,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_242,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_251,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

tff(type_def_254,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_255,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_264,type,
    fun_Ex8563670519792538868t_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_complex > fun_complex_bool ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_real > fun_real_bool ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_list_nat > fun_list_nat_bool ).

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: fun_re1255401033344146673l_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_int_fun_int_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_Co8310303586393106575r_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_nat_fun_nat_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_complex_complex ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_real_real ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_rat_rat ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_nat_nat ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_int_int ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_complex_complex ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_real_real ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_rat_rat ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_nat_nat ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_int_int ).

tff(func_def_20,type,
    aTP_Lamm_at: list_real > fun_real_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: list_list_nat > fun_list_nat_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: list_set_nat > fun_set_nat_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: list_VEBT_VEBT > fun_VEBT_VEBT_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: list_bool > fun_bool_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: list_nat > fun_nat_bool ).

tff(func_def_26,type,
    aTP_Lamm_az: list_int > fun_int_bool ).

tff(func_def_27,type,
    aTP_Lamm_ba: complex > fun_na1591161823130732966omplex ).

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

tff(func_def_29,type,
    aTP_Lamm_bc: real > fun_na6724076748692969250l_real ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_fun_nat_bool ).

tff(func_def_31,type,
    aTP_Lamm_be: real > fun_na6724076748692969250l_real ).

tff(func_def_32,type,
    aTP_Lamm_bf: int > fun_nat_fun_int_int ).

tff(func_def_33,type,
    aTP_Lamm_bg: complex > fun_na1591161823130732966omplex ).

tff(func_def_34,type,
    aTP_Lamm_bh: rat > fun_nat_fun_rat_rat ).

tff(func_def_35,type,
    aTP_Lamm_bi: nat > fun_nat_fun_nat_nat ).

tff(func_def_36,type,
    aTP_Lamm_bj: real > fun_nat_real ).

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

tff(func_def_38,type,
    aTP_Lamm_bl: real > fun_nat_real ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_nat_complex > fun_nat_complex ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_real > fun_nat_real ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_nat_complex > fun_co8378349014452122532t_real ).

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

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

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_real ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_50,type,
    aTP_Lamm_bx: complex > fun_fu40286998686754419omplex ).

tff(func_def_51,type,
    aTP_Lamm_by: real > fun_fu6899955116716589935t_real ).

tff(func_def_52,type,
    aTP_Lamm_bz: nat > fun_fu40286998686754419omplex ).

tff(func_def_53,type,
    aTP_Lamm_ca: nat > fun_fu6899955116716589935t_real ).

tff(func_def_54,type,
    aTP_Lamm_cb: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_55,type,
    aTP_Lamm_cc: nat > fun_fu8464300013002972271at_int ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_complex ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_real ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_int ).

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

tff(func_def_60,type,
    aTP_Lamm_ch: complex > fun_nat_complex ).

tff(func_def_61,type,
    aTP_Lamm_ci: real > fun_nat_real ).

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

tff(func_def_63,type,
    aTP_Lamm_ck: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_int > fun_fu8464300013002972271at_int ).

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

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

tff(func_def_67,type,
    aTP_Lamm_co: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_real > fun_na5225841814499866095t_real ).

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

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

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_74,type,
    aTP_Lamm_cv: real > fun_fu7631928937237476593t_real ).

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

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

tff(func_def_77,type,
    aTP_Lamm_cy: real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_80,type,
    aTP_Lamm_db: fun_nat_int > fun_nat_int ).

tff(func_def_81,type,
    aTP_Lamm_dc: nat > fun_fu40286998686754419omplex ).

tff(func_def_82,type,
    aTP_Lamm_dd: nat > fun_fu6899955116716589935t_real ).

tff(func_def_83,type,
    aTP_Lamm_de: nat > fun_co3258106519541737638omplex ).

tff(func_def_84,type,
    aTP_Lamm_df: nat > fun_re4238438383274954274t_real ).

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

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_real ).

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

tff(func_def_88,type,
    aTP_Lamm_dj: fun_nat_real > fun_fu6899955116716589935t_real ).

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

tff(func_def_90,type,
    aTP_Lamm_dl: real > fun_nat_real ).

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

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

tff(func_def_93,type,
    aTP_Lamm_do: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_96,type,
    aTP_Lamm_dr: real > fun_nat_real ).

tff(func_def_97,type,
    aTP_Lamm_ds: complex > fun_nat_complex ).

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

tff(func_def_99,type,
    aTP_Lamm_du: complex > fun_nat_complex ).

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

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

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

tff(func_def_103,type,
    aTP_Lamm_dy: complex > fun_nat_complex ).

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

tff(func_def_105,type,
    aTP_Lamm_ea: complex > fun_nat_real ).

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

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

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

tff(func_def_109,type,
    aTP_Lamm_ee: complex > fun_nat_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: real > fun_nat_real ).

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

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

tff(func_def_113,type,
    aTP_Lamm_ei: complex > fun_nat_complex ).

tff(func_def_114,type,
    aTP_Lamm_ej: real > fun_fu6899955116716589935t_real ).

tff(func_def_115,type,
    aTP_Lamm_ek: complex > fun_fu40286998686754419omplex ).

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

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

tff(func_def_118,type,
    aTP_Lamm_en: real > fun_nat_real ).

tff(func_def_119,type,
    aTP_Lamm_eo: complex > fun_nat_complex ).

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

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

tff(func_def_122,type,
    aTP_Lamm_er: fun_real_real ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_int_int ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_nat ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_complex_complex ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_rat_rat ).

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

tff(func_def_128,type,
    aTP_Lamm_ex: complex > fun_co6883864892131739507omplex ).

tff(func_def_129,type,
    aTP_Lamm_ey: complex > fun_co3258106519541737638omplex ).

tff(func_def_130,type,
    aTP_Lamm_ez: real > fun_re4756235295228751087t_real ).

tff(func_def_131,type,
    aTP_Lamm_fa: real > fun_re4238438383274954274t_real ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_complex_nat > fun_complex_complex ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_int_nat > fun_int_int ).

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

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

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

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

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

tff(func_def_139,type,
    aTP_Lamm_fi: fun_complex_int > fun_complex_complex ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_nat_int > fun_nat_real ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_int_int > fun_int_real ).

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

tff(func_def_143,type,
    aTP_Lamm_fm: fun_int_int > fun_int_int ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_nat_fun_nat_nat ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_int_int > fun_int_fun_int_int ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_nat_rat > fun_nat_rat ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_nat_rat > fun_nat_rat ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_nat_int > fun_nat_int ).

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

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

tff(func_def_152,type,
    aTP_Lamm_fv: fun_rat_fun_rat_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: num > fun_num_bool ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_int_fun_int_bool ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_re1255401033344146673l_bool ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_fun_nat_bool ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_fun_nat_nat ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_fun_nat_nat ).

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

tff(func_def_160,type,
    aTP_Lamm_gd: rat > fun_nat_rat ).

tff(func_def_161,type,
    aTP_Lamm_ge: real > fun_nat_real ).

tff(func_def_162,type,
    aTP_Lamm_gf: nat > fun_nat_fun_nat_nat ).

tff(func_def_163,type,
    aTP_Lamm_gg: nat > fun_na3244735409550470327at_nat ).

tff(func_def_164,type,
    aTP_Lamm_gh: nat > fun_na3244735409550470327at_nat ).

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

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

tff(func_def_167,type,
    aTP_Lamm_gk: fun_nat_nat > fun_nat_nat ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_nat_real > fun_nat_real ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_nat_complex > fun_fu4528473944208963392omplex ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_nat_complex > fun_fu6652553491520710942omplex ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_nat_rat > fun_fu6228432884689642900at_rat ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_nat_rat > fun_fu4710970720072501148at_rat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_int > fun_fu1567874110255095356at_int ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_nat_int > fun_fu5519318738670804632at_int ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_nat_real > fun_fu8064956510386623256t_real ).

tff(func_def_179,type,
    aTP_Lamm_gw: complex > fun_nat_complex ).

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

tff(func_def_181,type,
    aTP_Lamm_gy: real > fun_nat_real ).

tff(func_def_182,type,
    aTP_Lamm_gz: int > fun_in6793278964266839919at_int ).

tff(func_def_183,type,
    aTP_Lamm_ha: complex > fun_co6883864892131739507omplex ).

tff(func_def_184,type,
    aTP_Lamm_hb: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_185,type,
    aTP_Lamm_hc: real > fun_re4756235295228751087t_real ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_nat_fun_nat_nat ).

tff(func_def_190,type,
    aTP_Lamm_hh: int > fun_in6793278964266839919at_int ).

tff(func_def_191,type,
    aTP_Lamm_hi: complex > fun_co6883864892131739507omplex ).

tff(func_def_192,type,
    aTP_Lamm_hj: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_193,type,
    aTP_Lamm_hk: real > fun_re4756235295228751087t_real ).

tff(func_def_194,type,
    aTP_Lamm_hl: complex > fun_na1142814060743658952omplex ).

tff(func_def_195,type,
    aTP_Lamm_hm: rat > fun_nat_fun_nat_rat ).

tff(func_def_196,type,
    aTP_Lamm_hn: int > fun_nat_fun_nat_int ).

tff(func_def_197,type,
    aTP_Lamm_ho: real > fun_nat_fun_nat_real ).

tff(func_def_198,type,
    aTP_Lamm_hp: nat > fun_fu3593947265352647275omplex ).

tff(func_def_199,type,
    aTP_Lamm_hq: nat > fun_fu3593947265352647275omplex ).

tff(func_def_200,type,
    aTP_Lamm_hr: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_201,type,
    aTP_Lamm_hs: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_202,type,
    aTP_Lamm_ht: nat > fun_fu960360787657196261at_int ).

tff(func_def_203,type,
    aTP_Lamm_hu: nat > fun_fu960360787657196261at_int ).

tff(func_def_204,type,
    aTP_Lamm_hv: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_205,type,
    aTP_Lamm_hw: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_206,type,
    aTP_Lamm_hx: nat > fun_fu1620311477532340197t_real ).

tff(func_def_207,type,
    aTP_Lamm_hy: nat > fun_fu1620311477532340197t_real ).

tff(func_def_208,type,
    aTP_Lamm_hz: nat > fun_co3732688428756473980omplex ).

tff(func_def_209,type,
    aTP_Lamm_ia: nat > fun_co3732688428756473980omplex ).

tff(func_def_210,type,
    aTP_Lamm_ib: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_211,type,
    aTP_Lamm_ic: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_212,type,
    aTP_Lamm_id: nat > fun_re6135230694098607860t_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: nat > fun_re6135230694098607860t_real ).

tff(func_def_214,type,
    aTP_Lamm_if: complex > fun_co6883864892131739507omplex ).

tff(func_def_215,type,
    aTP_Lamm_ig: real > fun_re4756235295228751087t_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: nat > fun_in1521351555827773387at_int ).

tff(func_def_217,type,
    aTP_Lamm_ii: nat > fun_co6147893885205795665omplex ).

tff(func_def_218,type,
    aTP_Lamm_ij: nat > fun_Co8502721031311864414nteger ).

tff(func_def_219,type,
    aTP_Lamm_ik: nat > fun_ra3995598502166916815at_rat ).

tff(func_def_220,type,
    aTP_Lamm_il: nat > fun_re8542384036533109323t_real ).

tff(func_def_221,type,
    aTP_Lamm_im: nat > fun_nat_Code_integer ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_nat_fun_nat_int ).

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

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

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_fun_nat_real ).

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

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

tff(func_def_228,type,
    aTP_Lamm_it: fun_nat_fun_nat_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: nat > fun_co3732688428756473980omplex ).

tff(func_def_230,type,
    aTP_Lamm_iv: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_231,type,
    aTP_Lamm_iw: nat > fun_re6135230694098607860t_real ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_nat_fun_nat_nat ).

tff(func_def_233,type,
    aTP_Lamm_iy: nat > fun_nat_Code_integer ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_nat_fun_nat_int ).

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

tff(func_def_236,type,
    aTP_Lamm_jb: nat > fun_nat_rat ).

tff(func_def_237,type,
    aTP_Lamm_jc: fun_nat_fun_nat_real ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_nat_fun_nat_int ).

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

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

tff(func_def_241,type,
    aTP_Lamm_jg: fun_nat_fun_nat_real ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_nat_fun_nat_int ).

tff(func_def_243,type,
    aTP_Lamm_ji: nat > fun_nat_complex ).

tff(func_def_244,type,
    aTP_Lamm_jj: nat > fun_nat_rat ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_fun_nat_bool ).

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

tff(func_def_251,type,
    aTP_Lamm_jq: complex > fun_co3258106519541737638omplex ).

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

tff(func_def_253,type,
    aTP_Lamm_js: real > fun_re4238438383274954274t_real ).

tff(func_def_254,type,
    aTP_Lamm_jt: complex > fun_co6883864892131739507omplex ).

tff(func_def_255,type,
    aTP_Lamm_ju: complex > fun_co3258106519541737638omplex ).

tff(func_def_256,type,
    aTP_Lamm_jv: real > fun_re4756235295228751087t_real ).

tff(func_def_257,type,
    aTP_Lamm_jw: real > fun_re4238438383274954274t_real ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_int_int > fun_int_int ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_262,type,
    aTP_Lamm_kb: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_complex_rat > fun_fu2990765671291504771ex_rat ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_266,type,
    aTP_Lamm_kf: fun_int_rat > fun_fu1008360527747082367nt_rat ).

tff(func_def_267,type,
    aTP_Lamm_kg: fun_complex_int > fun_fu4213752561377164075ex_int ).

tff(func_def_268,type,
    aTP_Lamm_kh: fun_real_int > fun_fu3737244727311182119al_int ).

tff(func_def_269,type,
    aTP_Lamm_ki: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_270,type,
    aTP_Lamm_kj: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_271,type,
    aTP_Lamm_kk: fun_set_nat_nat > fun_fu1590586450949517859at_nat ).

tff(func_def_272,type,
    aTP_Lamm_kl: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_273,type,
    aTP_Lamm_km: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_274,type,
    aTP_Lamm_kn: nat > fun_co1378794544173401837x_bool ).

tff(func_def_275,type,
    aTP_Lamm_ko: nat > fun_complex_bool ).

tff(func_def_276,type,
    aTP_Lamm_kp: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_279,type,
    aTP_Lamm_ks: real > fun_nat_real ).

tff(func_def_280,type,
    aTP_Lamm_kt: real > fun_nat_real ).

tff(func_def_281,type,
    aTP_Lamm_ku: fun_nat_real ).

tff(func_def_282,type,
    aTP_Lamm_kv: set_nat > fun_set_nat_bool ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_rat_fun_rat_bool ).

tff(func_def_284,type,
    aTP_Lamm_kx: num > fun_num_bool ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_int_fun_int_bool ).

tff(func_def_286,type,
    aTP_Lamm_kz: fun_re1255401033344146673l_bool ).

tff(func_def_287,type,
    aTP_Lamm_la: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_288,type,
    aTP_Lamm_lb: fun_nat_real > fun_nat_fun_nat_real ).

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

tff(func_def_290,type,
    aTP_Lamm_ld: fun_nat_int > fun_nat_int ).

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

tff(func_def_292,type,
    aTP_Lamm_lf: complex > fun_co6883864892131739507omplex ).

tff(func_def_293,type,
    aTP_Lamm_lg: complex > fun_co6883864892131739507omplex ).

tff(func_def_294,type,
    aTP_Lamm_lh: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_295,type,
    aTP_Lamm_li: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_296,type,
    aTP_Lamm_lj: int > fun_in6793278964266839919at_int ).

tff(func_def_297,type,
    aTP_Lamm_lk: int > fun_in6793278964266839919at_int ).

tff(func_def_298,type,
    aTP_Lamm_ll: real > fun_re4756235295228751087t_real ).

tff(func_def_299,type,
    aTP_Lamm_lm: real > fun_re4756235295228751087t_real ).

tff(func_def_300,type,
    aTP_Lamm_ln: complex > fun_na6632006986671646835omplex ).

tff(func_def_301,type,
    aTP_Lamm_lo: rat > fun_na1148497095348402375at_rat ).

tff(func_def_302,type,
    aTP_Lamm_lp: int > fun_na2382631619178260847at_int ).

tff(func_def_303,type,
    aTP_Lamm_lq: real > fun_na5225841814499866095t_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: complex > fun_na6632006986671646835omplex ).

tff(func_def_305,type,
    aTP_Lamm_ls: rat > fun_na1148497095348402375at_rat ).

tff(func_def_306,type,
    aTP_Lamm_lt: int > fun_na2382631619178260847at_int ).

tff(func_def_307,type,
    aTP_Lamm_lu: real > fun_na5225841814499866095t_real ).

tff(func_def_308,type,
    aTP_Lamm_lv: complex > fun_na1142814060743658952omplex ).

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

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

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

tff(func_def_312,type,
    aTP_Lamm_lz: real > fun_fu3477889739401271834t_real ).

tff(func_def_313,type,
    aTP_Lamm_ma: real > fun_fu5589980185390252312t_real ).

tff(func_def_314,type,
    aTP_Lamm_mb: real > fun_fu4806068833880117316t_real ).

tff(func_def_315,type,
    aTP_Lamm_mc: real > fun_fu2115079063411676732t_real ).

tff(func_def_316,type,
    aTP_Lamm_md: real > fun_fu4540635375566031512t_real ).

tff(func_def_317,type,
    aTP_Lamm_me: real > fun_fu6899955116716589935t_real ).

tff(func_def_318,type,
    aTP_Lamm_mf: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_nat_real > fun_nat_real ).

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

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

tff(func_def_322,type,
    aTP_Lamm_mj: fun_nat_complex > fun_co3194742168270691230omplex ).

tff(func_def_323,type,
    aTP_Lamm_mk: nat > fun_fu1584491925252458057omplex ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_rat > fun_ra2740371568465858076at_rat ).

tff(func_def_325,type,
    aTP_Lamm_mm: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_326,type,
    aTP_Lamm_mn: fun_nat_int > fun_in281396392327853336at_int ).

tff(func_def_327,type,
    aTP_Lamm_mo: nat > fun_fu4902120768161409089at_int ).

tff(func_def_328,type,
    aTP_Lamm_mp: fun_nat_real > fun_re7819166435457029784t_real ).

tff(func_def_329,type,
    aTP_Lamm_mq: nat > fun_fu6810213084838398785t_real ).

tff(func_def_330,type,
    aTP_Lamm_mr: complex > fun_na1142814060743658952omplex ).

tff(func_def_331,type,
    aTP_Lamm_ms: real > fun_nat_fun_nat_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: complex > fun_co6883864892131739507omplex ).

tff(func_def_333,type,
    aTP_Lamm_mu: complex > fun_co6883864892131739507omplex ).

tff(func_def_334,type,
    aTP_Lamm_mv: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_335,type,
    aTP_Lamm_mw: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_336,type,
    aTP_Lamm_mx: real > fun_re4756235295228751087t_real ).

tff(func_def_337,type,
    aTP_Lamm_my: real > fun_re4756235295228751087t_real ).

tff(func_def_338,type,
    aTP_Lamm_mz: nat > fun_nat_complex ).

tff(func_def_339,type,
    aTP_Lamm_na: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_342,type,
    aTP_Lamm_nd: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_343,type,
    aTP_Lamm_ne: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_344,type,
    aTP_Lamm_nf: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_fun_nat_real > fun_nat_real ).

tff(func_def_346,type,
    aTP_Lamm_nh: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_349,type,
    aTP_Lamm_nk: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_350,type,
    aTP_Lamm_nl: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_351,type,
    aTP_Lamm_nm: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_352,type,
    aTP_Lamm_nn: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_353,type,
    aTP_Lamm_no: fun_nat_complex > fun_nat_complex ).

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

tff(func_def_355,type,
    aTP_Lamm_nq: fun_nat_int > fun_nat_int ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_nat_real > fun_nat_real ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_nat_rat > fun_nat_rat ).

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

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

tff(func_def_360,type,
    aTP_Lamm_nv: nat > fun_nat_complex ).

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

tff(func_def_362,type,
    aTP_Lamm_nx: fun_nat_fun_nat_real ).

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

tff(func_def_364,type,
    aTP_Lamm_nz: complex > fun_co3258106519541737638omplex ).

tff(func_def_365,type,
    aTP_Lamm_oa: rat > fun_rat_fun_nat_rat ).

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

tff(func_def_367,type,
    aTP_Lamm_oc: real > fun_re4238438383274954274t_real ).

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

tff(func_def_369,type,
    aTP_Lamm_oe: fun_nat_complex > fun_co6883864892131739507omplex ).

tff(func_def_370,type,
    aTP_Lamm_of: nat > fun_fu1584491925252458057omplex ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_nat_rat > fun_ra5513060666784058567at_rat ).

tff(func_def_372,type,
    aTP_Lamm_oh: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_nat_int > fun_in6793278964266839919at_int ).

tff(func_def_374,type,
    aTP_Lamm_oj: nat > fun_fu4902120768161409089at_int ).

tff(func_def_375,type,
    aTP_Lamm_ok: fun_nat_real > fun_re4756235295228751087t_real ).

tff(func_def_376,type,
    aTP_Lamm_ol: nat > fun_fu6810213084838398785t_real ).

tff(func_def_377,type,
    aTP_Lamm_om: real > fun_nat_real ).

tff(func_def_378,type,
    aTP_Lamm_on: complex > fun_nat_complex ).

tff(func_def_379,type,
    aTP_Lamm_oo: rat > fun_nat_rat ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_in1696471567231710611nt_int ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_na4138050610385705875at_nat ).

tff(func_def_382,type,
    aTP_Lamm_or: fun_Co2470855966376689427nteger ).

tff(func_def_383,type,
    aTP_Lamm_os: fun_re1255401033344146673l_bool ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_nat_nat ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_nat_int ).

tff(func_def_386,type,
    aTP_Lamm_ov: fun_int_int ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_nat_int > fun_nat_rat ).

tff(func_def_388,type,
    aTP_Lamm_ox: fun_nat_int > fun_nat_int ).

tff(func_def_389,type,
    aTP_Lamm_oy: fun_in1696471567231710611nt_int ).

tff(func_def_390,type,
    aTP_Lamm_oz: fun_na4138050610385705875at_nat ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_Co2470855966376689427nteger ).

tff(func_def_392,type,
    aTP_Lamm_pb: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_393,type,
    aTP_Lamm_pc: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_394,type,
    aTP_Lamm_pd: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_395,type,
    aTP_Lamm_pe: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_396,type,
    aTP_Lamm_pf: real > fun_fu3106432010075488275t_real ).

tff(func_def_397,type,
    aTP_Lamm_pg: complex > fun_fu4781654129426620053omplex ).

tff(func_def_398,type,
    aTP_Lamm_ph: rat > fun_fu622952192041312191at_rat ).

tff(func_def_399,type,
    aTP_Lamm_pi: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_400,type,
    aTP_Lamm_pj: int > fun_fu4512855384587262995at_int ).

tff(func_def_401,type,
    aTP_Lamm_pk: int > fun_fu6415725884910174923nt_int ).

tff(func_def_402,type,
    aTP_Lamm_pl: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_403,type,
    aTP_Lamm_pm: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_404,type,
    aTP_Lamm_pn: fun_nat_int > fun_na7654559027617327379at_int ).

tff(func_def_405,type,
    aTP_Lamm_po: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_406,type,
    aTP_Lamm_pp: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_407,type,
    aTP_Lamm_pq: fun_nat_fun_nat_int > fun_nat_int ).

tff(func_def_408,type,
    aTP_Lamm_pr: fun_nat_fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_409,type,
    aTP_Lamm_ps: fun_nat_fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_410,type,
    aTP_Lamm_pt: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_411,type,
    aTP_Lamm_pu: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_412,type,
    aTP_Lamm_pv: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_413,type,
    aTP_Lamm_pw: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_414,type,
    aTP_Lamm_px: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_416,type,
    aTP_Lamm_pz: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_417,type,
    aTP_Lamm_qa: fun_set_nat_real > fun_fu5354524256550068955t_real ).

tff(func_def_418,type,
    aTP_Lamm_qb: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_419,type,
    aTP_Lamm_qc: fun_complex_complex > fun_fu8968174646369908141x_real ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_real_complex > fun_fu6344110373156359337l_real ).

tff(func_def_421,type,
    aTP_Lamm_qe: fun_set_nat_complex > fun_fu1617006900395023197t_real ).

tff(func_def_422,type,
    aTP_Lamm_qf: fun_int_complex > fun_fu3594690983434520489t_real ).

tff(func_def_423,type,
    aTP_Lamm_qg: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_424,type,
    aTP_Lamm_qh: fun_nat_complex > fun_fu7631928937237476593t_real ).

tff(func_def_425,type,
    aTP_Lamm_qi: real > fun_nat_real ).

tff(func_def_426,type,
    aTP_Lamm_qj: complex > fun_nat_complex ).

tff(func_def_427,type,
    aTP_Lamm_qk: rat > fun_nat_rat ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_nat_fun_nat_nat ).

tff(func_def_429,type,
    aTP_Lamm_qm: int > fun_nat_int ).

tff(func_def_430,type,
    aTP_Lamm_qn: real > fun_nat_fun_nat_real ).

tff(func_def_431,type,
    aTP_Lamm_qo: complex > fun_na1142814060743658952omplex ).

tff(func_def_432,type,
    aTP_Lamm_qp: rat > fun_nat_fun_nat_rat ).

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

tff(func_def_434,type,
    aTP_Lamm_qr: int > fun_nat_fun_nat_int ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_nat_real > fun_nat_real ).

tff(func_def_436,type,
    aTP_Lamm_qt: fun_nat_rat > fun_nat_rat ).

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

tff(func_def_438,type,
    aTP_Lamm_qv: fun_nat_int > fun_nat_int ).

tff(func_def_439,type,
    aTP_Lamm_qw: nat > fun_fu3593947265352647275omplex ).

tff(func_def_440,type,
    aTP_Lamm_qx: nat > fun_fu1620311477532340197t_real ).

tff(func_def_441,type,
    aTP_Lamm_qy: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_442,type,
    aTP_Lamm_qz: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_443,type,
    aTP_Lamm_ra: nat > fun_fu960360787657196261at_int ).

tff(func_def_444,type,
    aTP_Lamm_rb: complex > fun_nat_complex ).

tff(func_def_445,type,
    aTP_Lamm_rc: rat > fun_nat_rat ).

tff(func_def_446,type,
    aTP_Lamm_rd: real > fun_nat_real ).

tff(func_def_447,type,
    aTP_Lamm_re: fun_nat_fun_nat_nat ).

tff(func_def_448,type,
    aTP_Lamm_rf: int > fun_nat_int ).

tff(func_def_449,type,
    aTP_Lamm_rg: num > fun_na4138050610385705875at_nat ).

tff(func_def_450,type,
    aTP_Lamm_rh: num > fun_in1696471567231710611nt_int ).

tff(func_def_451,type,
    aTP_Lamm_ri: fun_real_bool ).

tff(func_def_452,type,
    aTP_Lamm_rj: num > fun_Co2470855966376689427nteger ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_re1255401033344146673l_bool ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_na4138050610385705875at_nat ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_456,type,
    aTP_Lamm_rn: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_457,type,
    aTP_Lamm_ro: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_458,type,
    aTP_Lamm_rp: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_nat_bool ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_nat_bool ).

tff(func_def_461,type,
    aTP_Lamm_rs: real > fun_int_bool ).

tff(func_def_462,type,
    aTP_Lamm_rt: fun_nat_fun_nat_nat ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_nat_fun_nat_nat ).

tff(func_def_464,type,
    aTP_Lamm_rv: rat > fun_int_bool ).

tff(func_def_465,type,
    aTP_Lamm_rw: fun_in1696471567231710611nt_int ).

tff(func_def_466,type,
    aTP_Lamm_rx: int > fun_in2204242111582549184nt_int ).

tff(func_def_467,type,
    aTP_Lamm_ry: rat > fun_in1696471567231710611nt_int ).

tff(func_def_468,type,
    aTP_Lamm_rz: int > fun_in2204242111582549184nt_int ).

tff(func_def_469,type,
    aTP_Lamm_sa: rat > fun_in1696471567231710611nt_int ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_472,type,
    aTP_Lamm_sd: int > fun_int_fun_int_bool ).

tff(func_def_473,type,
    aTP_Lamm_se: int > fun_int_fun_int_bool ).

tff(func_def_474,type,
    aTP_Lamm_sf: int > fun_int_fun_int_bool ).

tff(func_def_475,type,
    aTP_Lamm_sg: int > fun_int_fun_int_bool ).

tff(func_def_476,type,
    aTP_Lamm_sh: complex > fun_na5941084329111710283x_bool ).

tff(func_def_477,type,
    aTP_Lamm_si: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_478,type,
    aTP_Lamm_sj: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_479,type,
    aTP_Lamm_sk: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_480,type,
    aTP_Lamm_sl: fun_nat_fun_nat_bool ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_Co3583066429914935172er_nat ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_Co1092983284983208416er_int ).

tff(func_def_483,type,
    aTP_Lamm_so: nat > fun_na4143055713577223196at_nat ).

tff(func_def_484,type,
    aTP_Lamm_sp: fun_na1668100129766719005at_nat ).

tff(func_def_485,type,
    aTP_Lamm_sq: fun_na4138050610385705875at_nat ).

tff(func_def_486,type,
    aTP_Lamm_sr: nat > fun_na3408937105440547634t_bool ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_na4786964484885125043t_bool ).

tff(func_def_488,type,
    aTP_Lamm_st: nat > fun_na3408937105440547634t_bool ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_na4786964484885125043t_bool ).

tff(func_def_490,type,
    aTP_Lamm_sv: nat > fun_na4143055713577223196at_nat ).

tff(func_def_491,type,
    aTP_Lamm_sw: fun_na1668100129766719005at_nat ).

tff(func_def_492,type,
    aTP_Lamm_sx: nat > fun_na4143055713577223196at_nat ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_na1668100129766719005at_nat ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_nat_fun_nat_nat ).

tff(func_def_495,type,
    aTP_Lamm_ta: nat > fun_li8232715659020003717t_bool ).

tff(func_def_496,type,
    aTP_Lamm_tb: num > fun_num_int ).

tff(func_def_497,type,
    aTP_Lamm_tc: fun_num_option_num ).

tff(func_def_498,type,
    aTP_Lamm_td: num > fun_nat_option_num ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_nat_option_num ).

tff(func_def_500,type,
    aTP_Lamm_tf: num > fun_nat_option_num ).

tff(func_def_501,type,
    aTP_Lamm_tg: fun_num_option_num ).

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

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

tff(func_def_504,type,
    aTP_Lamm_tj: num > fun_nat_option_num ).

tff(func_def_505,type,
    aTP_Lamm_tk: fun_na7595719129879163854on_num ).

tff(func_def_506,type,
    aTP_Lamm_tl: fun_real_bool ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_nat_fun_nat_nat ).

tff(func_def_508,type,
    aTP_Lamm_tn: fun_real_bool ).

tff(func_def_509,type,
    aTP_Lamm_to: int > fun_int_int ).

tff(func_def_510,type,
    aTP_Lamm_tp: fun_Pr803113274115125473t_bool ).

tff(func_def_511,type,
    aTP_Lamm_tq: fun_Co8521658056209057742er_num ).

tff(func_def_512,type,
    aTP_Lamm_tr: fun_Pr1308109350235310159nt_int ).

tff(func_def_513,type,
    aTP_Lamm_ts: fun_Pr2478283820680522243nt_int ).

tff(func_def_514,type,
    aTP_Lamm_tt: int > fun_in6148020733644367646t_bool ).

tff(func_def_515,type,
    aTP_Lamm_tu: rat > fun_int_fun_int_bool ).

tff(func_def_516,type,
    aTP_Lamm_tv: int > fun_in6148020733644367646t_bool ).

tff(func_def_517,type,
    aTP_Lamm_tw: rat > fun_int_fun_int_bool ).

tff(func_def_518,type,
    aTP_Lamm_tx: int > fun_int_fun_int_bool ).

tff(func_def_519,type,
    aTP_Lamm_ty: int > fun_int_fun_int_bool ).

tff(func_def_520,type,
    aTP_Lamm_tz: fun_nat_fun_nat_nat ).

tff(func_def_521,type,
    aTP_Lamm_ua: fun_nat_fun_nat_nat ).

tff(func_def_522,type,
    aTP_Lamm_ub: nat > fun_nat_fun_nat_bool ).

tff(func_def_523,type,
    aTP_Lamm_uc: nat > fun_nat_fun_nat_bool ).

tff(func_def_524,type,
    aTP_Lamm_ud: int > fun_int_fun_int_bool ).

tff(func_def_525,type,
    aTP_Lamm_ue: fun_nat_set_nat ).

tff(func_def_526,type,
    aTP_Lamm_uf: set_int > fun_int_bool ).

tff(func_def_527,type,
    aTP_Lamm_ug: fun_nat_fun_nat_nat ).

tff(func_def_528,type,
    aTP_Lamm_uh: fun_na6724076748692969250l_real ).

tff(func_def_529,type,
    aTP_Lamm_ui: fun_na6724076748692969250l_real ).

tff(func_def_530,type,
    aTP_Lamm_uj: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_531,type,
    aTP_Lamm_uk: fun_re7681423839302404990l_real ).

tff(func_def_532,type,
    aTP_Lamm_ul: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_533,type,
    aTP_Lamm_um: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_534,type,
    aTP_Lamm_un: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_535,type,
    aTP_Lamm_uo: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_536,type,
    aTP_Lamm_up: fun_nat_real > fun_real_real ).

tff(func_def_537,type,
    aTP_Lamm_uq: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_538,type,
    aTP_Lamm_ur: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_539,type,
    aTP_Lamm_us: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_540,type,
    aTP_Lamm_ut: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_541,type,
    aTP_Lamm_uu: nat > fun_fu3612569900928539882l_real ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_543,type,
    aTP_Lamm_uw: fun_real_real ).

tff(func_def_544,type,
    aTP_Lamm_ux: real > fun_nat_real ).

tff(func_def_545,type,
    aTP_Lamm_uy: fun_real_real ).

tff(func_def_546,type,
    aTP_Lamm_uz: nat > fun_na5042103099923536755t_bool ).

tff(func_def_547,type,
    aTP_Lamm_va: fun_nat_real > fun_nat_real ).

tff(func_def_548,type,
    aTP_Lamm_vb: fun_nat_fun_nat_nat ).

tff(func_def_549,type,
    aTP_Lamm_vc: fun_nat_real ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_551,type,
    aTP_Lamm_ve: fun_nat_real > fun_nat_real ).

tff(func_def_552,type,
    aTP_Lamm_vf: fun_nat_real ).

tff(func_def_553,type,
    aTP_Lamm_vg: real > fun_nat_real ).

tff(func_def_554,type,
    aTP_Lamm_vh: fun_nat_real ).

tff(func_def_555,type,
    aTP_Lamm_vi: real > fun_nat_real ).

tff(func_def_556,type,
    aTP_Lamm_vj: real > fun_re4238438383274954274t_real ).

tff(func_def_557,type,
    aTP_Lamm_vk: real > fun_nat_real ).

tff(func_def_558,type,
    aTP_Lamm_vl: real > fun_nat_real ).

tff(func_def_559,type,
    aTP_Lamm_vm: real > fun_nat_real ).

tff(func_def_560,type,
    aTP_Lamm_vn: real > fun_nat_real ).

tff(func_def_561,type,
    aTP_Lamm_vo: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_562,type,
    aTP_Lamm_vp: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_563,type,
    aTP_Lamm_vq: fun_nat_real > fun_nat_real ).

tff(func_def_564,type,
    aTP_Lamm_vr: fun_nat_real > fun_nat_real ).

tff(func_def_565,type,
    aTP_Lamm_vs: fun_nat_real > fun_nat_real ).

tff(func_def_566,type,
    aTP_Lamm_vt: fun_nat_bool > fun_nat_bool ).

tff(func_def_567,type,
    aTP_Lamm_vu: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_568,type,
    aTP_Lamm_vv: fun_real_real > fun_fu7376312551830202376l_bool ).

tff(func_def_569,type,
    aTP_Lamm_vw: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_570,type,
    aTP_Lamm_vx: real > fun_re1255401033344146673l_bool ).

tff(func_def_571,type,
    aTP_Lamm_vy: fun_real_real > fun_real_bool ).

tff(func_def_572,type,
    aTP_Lamm_vz: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_573,type,
    aTP_Lamm_wa: fun_real_real ).

tff(func_def_574,type,
    aTP_Lamm_wb: fun_na6724076748692969250l_real ).

tff(func_def_575,type,
    aTP_Lamm_wc: fun_re7681423839302404990l_real ).

tff(func_def_576,type,
    aTP_Lamm_wd: nat > fun_fu3077872570260440615l_real ).

tff(func_def_577,type,
    aTP_Lamm_we: fun_re7681423839302404990l_real ).

tff(func_def_578,type,
    aTP_Lamm_wf: fun_real_bool > fun_re1255401033344146673l_bool ).

tff(func_def_579,type,
    aTP_Lamm_wg: fun_real_real > fun_real_real ).

tff(func_def_580,type,
    aTP_Lamm_wh: fun_real_real > fun_real_real ).

tff(func_def_581,type,
    aTP_Lamm_wi: fun_nat_fun_nat_nat ).

tff(func_def_582,type,
    aTP_Lamm_wj: fun_nat_fun_nat_bool ).

tff(func_def_583,type,
    aTP_Lamm_wk: fun_int_fun_int_int ).

tff(func_def_584,type,
    aTP_Lamm_wl: fun_nat_fun_nat_nat ).

tff(func_def_585,type,
    aTP_Lamm_wm: fun_nat_nat ).

tff(func_def_586,type,
    aTP_Lamm_wn: nat > fun_na5614638261385347865t_bool ).

tff(func_def_587,type,
    aTP_Lamm_wo: nat > fun_na5614638261385347865t_bool ).

tff(func_def_588,type,
    aTP_Lamm_wp: nat > fun_na5614638261385347865t_bool ).

tff(func_def_589,type,
    aTP_Lamm_wq: nat > fun_nat_fun_nat_bool ).

tff(func_def_590,type,
    aTP_Lamm_wr: nat > fun_nat_set_nat ).

tff(func_def_591,type,
    aTP_Lamm_ws: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_592,type,
    aTP_Lamm_wt: fun_fu6579618355643354601at_rat ).

tff(func_def_593,type,
    aTP_Lamm_wu: rat > fun_nat_rat ).

tff(func_def_594,type,
    aTP_Lamm_wv: fun_fu8328862064278946247at_rat ).

tff(func_def_595,type,
    aTP_Lamm_ww: fun_fu6579618355643354601at_rat ).

tff(func_def_596,type,
    aTP_Lamm_wx: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_597,type,
    aTP_Lamm_wy: fun_in1696471567231710611nt_int ).

tff(func_def_598,type,
    aTP_Lamm_wz: fun_num_fun_num_int ).

tff(func_def_599,type,
    aTP_Lamm_xa: fun_int_int ).

tff(func_def_600,type,
    aTP_Lamm_xb: fun_na1476630412504255114at_nat ).

tff(func_def_601,type,
    aTP_Lamm_xc: fun_nat_rat ).

tff(func_def_602,type,
    aTP_Lamm_xd: fun_nat_rat > fun_nat_rat ).

tff(func_def_603,type,
    aTP_Lamm_xe: fun_fu8328862064278946247at_rat ).

tff(func_def_604,type,
    aTP_Lamm_xf: fun_nat_rat ).

tff(func_def_605,type,
    aTP_Lamm_xg: nat > fun_na3408937105440547634t_bool ).

tff(func_def_606,type,
    aTP_Lamm_xh: fun_na4786964484885125043t_bool ).

tff(func_def_607,type,
    aTP_Lamm_xi: fun_fun_nat_rat_bool ).

tff(func_def_608,type,
    archim2889992004027027881ng_rat: rat > int ).

tff(func_def_609,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_610,type,
    archim3151403230148437115or_rat: rat > int ).

tff(func_def_611,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_612,type,
    archimedean_frac_rat: rat > rat ).

tff(func_def_613,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_614,type,
    archim7778729529865785530nd_rat: rat > int ).

tff(func_def_615,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_616,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_617,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_618,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_619,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_620,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_621,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_622,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_623,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_624,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_625,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_626,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_627,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_628,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_629,type,
    bNF_re237660433471117187t_real: ( fun_fu990398353789569848l_bool * fun_fu990398353789569848l_bool ) > fun_fu762719556336274221l_bool ).

tff(func_def_630,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_631,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_632,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_633,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_634,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_635,type,
    gbinomial_real: real > fun_nat_real ).

tff(func_def_636,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_637,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_638,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_639,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_640,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_641,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_642,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_643,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_644,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_645,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_646,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_647,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_648,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_649,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_650,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_651,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_652,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_653,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_654,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_655,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_656,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_657,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_658,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_659,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_660,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_661,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_662,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_663,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_664,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_665,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_666,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_667,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_668,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_669,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_670,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_671,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_672,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_673,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_674,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_675,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_676,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_677,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_678,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_679,type,
    bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_680,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_681,type,
    bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_682,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_683,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_684,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_685,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_686,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_687,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_688,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_689,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_690,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_691,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_692,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_693,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_694,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_695,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_696,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_697,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_698,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_699,type,
    code_Target_negative: fun_num_int ).

tff(func_def_700,type,
    code_Target_positive: fun_num_int ).

tff(func_def_701,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_702,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_703,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_704,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_705,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_706,type,
    arg: fun_complex_real ).

tff(func_def_707,type,
    cis: fun_real_complex ).

tff(func_def_708,type,
    cnj: fun_complex_complex ).

tff(func_def_709,type,
    complex2: real > fun_real_complex ).

tff(func_def_710,type,
    im: fun_complex_real ).

tff(func_def_711,type,
    re: fun_complex_real ).

tff(func_def_712,type,
    csqrt: fun_complex_complex ).

tff(func_def_713,type,
    imaginary_unit: complex ).

tff(func_def_714,type,
    rcis: real > fun_real_complex ).

tff(func_def_715,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_716,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_717,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_718,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_719,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_720,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_721,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_722,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_723,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_724,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_725,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_726,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_727,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_728,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_729,type,
    comm_s7457072308508201937r_real: real > fun_nat_real ).

tff(func_def_730,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_731,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_732,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_733,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_734,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_735,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_736,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_737,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_738,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_739,type,
    at_bot_real: filter_real ).

tff(func_def_740,type,
    at_top_nat: filter_nat ).

tff(func_def_741,type,
    at_top_real: filter_real ).

tff(func_def_742,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_743,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_744,type,
    finite_card_int: set_int > nat ).

tff(func_def_745,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_746,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_747,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_748,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_749,type,
    finite_card_char: set_char > nat ).

tff(func_def_750,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_751,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_752,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_753,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_754,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_755,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_756,type,
    id_bool: fun_bool_bool ).

tff(func_def_757,type,
    id_nat: fun_nat_nat ).

tff(func_def_758,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_759,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_760,type,
    map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

tff(func_def_761,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_762,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_763,type,
    map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

tff(func_def_764,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_765,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_766,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_767,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_768,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_769,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_770,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_771,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_772,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_773,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_774,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_775,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_776,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_777,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_778,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_779,type,
    abs_abs_int: fun_int_int ).

tff(func_def_780,type,
    abs_abs_rat: rat > rat ).

tff(func_def_781,type,
    abs_abs_real: fun_real_real ).

tff(func_def_782,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_783,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_784,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_785,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_786,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_787,type,
    minus_minus_rat: ( rat * rat ) > rat ).

tff(func_def_788,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_789,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_790,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_791,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_792,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_793,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_794,type,
    one_one_Code_integer: code_integer ).

tff(func_def_795,type,
    one_one_complex: complex ).

tff(func_def_796,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_797,type,
    one_one_int: int ).

tff(func_def_798,type,
    one_one_nat: nat ).

tff(func_def_799,type,
    one_one_rat: rat ).

tff(func_def_800,type,
    one_one_real: real ).

tff(func_def_801,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_802,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_803,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_804,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_805,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_806,type,
    plus_plus_num: ( num * num ) > num ).

tff(func_def_807,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_808,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_809,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_810,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_811,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_812,type,
    sgn_sgn_rat: rat > rat ).

tff(func_def_813,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_814,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_815,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_816,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_817,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_818,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_819,type,
    times_times_num: ( num * num ) > num ).

tff(func_def_820,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_821,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_822,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_823,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_824,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_825,type,
    uminus_uminus_rat: rat > rat ).

tff(func_def_826,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_827,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_828,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_829,type,
    zero_zero_complex: complex ).

tff(func_def_830,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_831,type,
    zero_zero_int: int ).

tff(func_def_832,type,
    zero_zero_nat: nat ).

tff(func_def_833,type,
    zero_zero_rat: rat ).

tff(func_def_834,type,
    zero_zero_real: real ).

tff(func_def_835,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_836,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_837,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_838,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_839,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_840,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_841,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_842,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_843,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_844,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_845,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_846,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_847,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_848,type,
    groups2073611262835488442omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_849,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_850,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_851,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_852,type,
    groups6591440286371151544t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_853,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_854,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_855,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_856,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_857,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_858,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_859,type,
    groups8294997508430121362at_nat: ( fun_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_860,type,
    groups5107569545109728110t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_861,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_862,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_863,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_864,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_865,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_866,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_867,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_868,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_869,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_870,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_871,type,
    groups6464643781859351333omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_872,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_873,type,
    groups708209901874060359at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_874,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_875,type,
    groups129246275422532515t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_876,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_877,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_878,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_879,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_880,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_881,type,
    groups1092910753850256091omplex: ( fun_set_nat_complex * set_set_nat ) > complex ).

tff(func_def_882,type,
    groups3619160379726066777t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_883,type,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_884,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_885,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_886,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_887,type,
    the_int: fun_int_bool > int ).

tff(func_def_888,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_889,type,
    the_real: fun_real_bool > real ).

tff(func_def_890,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_891,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_892,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_893,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_894,type,
    if_num: ( bool * num * num ) > num ).

tff(func_def_895,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_896,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_897,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_898,type,
    if_rat: ( bool * rat * rat ) > rat ).

tff(func_def_899,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_900,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_901,type,
    if_fun_nat_rat: ( bool * fun_nat_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_902,type,
    if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).

tff(func_def_903,type,
    if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_904,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_905,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_906,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_907,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_908,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_909,type,
    nat2: fun_int_nat ).

tff(func_def_910,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_911,type,
    power_int_real: real > fun_int_real ).

tff(func_def_912,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_913,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_914,type,
    ring_1_Ints_int: set_int ).

tff(func_def_915,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_916,type,
    ring_1_Ints_real: set_real ).

tff(func_def_917,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_918,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_919,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_920,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_921,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_922,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_923,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_924,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_925,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_926,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_927,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_928,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_929,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_930,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_931,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_932,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_933,type,
    distinct_int: fun_list_int_bool ).

tff(func_def_934,type,
    distinct_nat: fun_list_nat_bool ).

tff(func_def_935,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_936,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_937,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_938,type,
    linord1735203802627413978nt_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_939,type,
    linord738340561235409698at_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_940,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_941,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_942,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_943,type,
    nil_int: list_int ).

tff(func_def_944,type,
    nil_nat: list_nat ).

tff(func_def_945,type,
    hd_nat: list_nat > nat ).

tff(func_def_946,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_947,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_948,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_949,type,
    set_int2: list_int > set_int ).

tff(func_def_950,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_951,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_952,type,
    set_real2: list_real > set_real ).

tff(func_def_953,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_954,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_955,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_956,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_957,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_958,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_959,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_960,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_961,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_962,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_963,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_964,type,
    nth_Pr136253548056570280r_bool: ( list_P8603913368774139775r_bool * nat ) > produc7417142470700560111r_bool ).

tff(func_def_965,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_966,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_967,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_968,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_969,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_970,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_971,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_972,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_973,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_974,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_975,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_976,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_977,type,
    produc2469108709554126195r_bool: ( list_Code_integer * list_bool ) > list_P8603913368774139775r_bool ).

tff(func_def_978,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_979,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_980,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_981,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_982,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_983,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_984,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_985,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_986,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_987,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_988,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_989,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_990,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_991,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_992,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_993,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_994,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_995,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_996,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_997,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_998,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_999,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_1000,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_1001,type,
    upto: ( int * int ) > list_int ).

tff(func_def_1002,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_1003,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1004,type,
    suc: fun_nat_nat ).

tff(func_def_1005,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1006,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1007,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1008,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_1009,type,
    pred: fun_nat_nat ).

tff(func_def_1010,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_1011,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_1012,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_1013,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_1014,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_1015,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_1016,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_1017,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_1018,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_1019,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_1020,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat * rat ) > rat ).

tff(func_def_1021,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_1022,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_1023,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_1024,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_1025,type,
    size_size_list_int: list_int > nat ).

tff(func_def_1026,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_1027,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_1028,type,
    size_size_list_num: list_num > nat ).

tff(func_def_1029,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_1030,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_1031,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_1032,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_1033,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_1034,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_1035,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_1036,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_1037,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_1038,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_1039,type,
    size_size_list_real: list_real > nat ).

tff(func_def_1040,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_1041,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_1042,type,
    size_size_num: fun_num_nat ).

tff(func_def_1043,type,
    size_size_option_num: option_num > nat ).

tff(func_def_1044,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_1045,type,
    size_size_char: char > nat ).

tff(func_def_1046,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1047,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_1048,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_1049,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1050,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_1051,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_1052,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_1053,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_1054,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_1055,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_1056,type,
    sqrt: fun_real_real ).

tff(func_def_1057,type,
    bitM: num > num ).

tff(func_def_1058,type,
    inc: num > num ).

tff(func_def_1059,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_1060,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_1061,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_1062,type,
    neg_numeral_dbl_rat: rat > rat ).

tff(func_def_1063,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_1064,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_1065,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_1066,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_1067,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

tff(func_def_1068,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_1069,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_1070,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_1071,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_1072,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

tff(func_def_1073,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_1074,type,
    neg_numeral_sub_int: ( num * num ) > int ).

tff(func_def_1075,type,
    bit0: fun_num_num ).

tff(func_def_1076,type,
    bit1: fun_num_num ).

tff(func_def_1077,type,
    one: num ).

tff(func_def_1078,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_1079,type,
    size_num: fun_num_nat ).

tff(func_def_1080,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1081,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_1082,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1083,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1084,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1085,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1086,type,
    numeral_numeral_rat: num > rat ).

tff(func_def_1087,type,
    numeral_numeral_real: num > real ).

tff(func_def_1088,type,
    pow: ( num * num ) > num ).

tff(func_def_1089,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1090,type,
    sqr: num > num ).

tff(func_def_1091,type,
    none_num: option_num ).

tff(func_def_1092,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1093,type,
    some_num: num > option_num ).

tff(func_def_1094,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1095,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool ) > fun_op2627489687811228755t_bool ).

tff(func_def_1096,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1097,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1098,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1099,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1100,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_1101,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_1102,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_1103,type,
    bot_bot_nat: nat ).

tff(func_def_1104,type,
    bot_bot_set_int: set_int ).

tff(func_def_1105,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1106,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1107,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1108,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_1109,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_1110,type,
    ord_less_num: num > fun_num_bool ).

tff(func_def_1111,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_1112,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_1113,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1114,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1115,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1116,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_1117,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_1118,type,
    ord_less_eq_num: num > fun_num_bool ).

tff(func_def_1119,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_1120,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_1121,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1122,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1123,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1124,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1125,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1126,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_1127,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_1128,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_1129,type,
    top_top_set_bool: set_bool ).

tff(func_def_1130,type,
    top_top_set_int: set_int ).

tff(func_def_1131,type,
    top_top_set_nat: set_nat ).

tff(func_def_1132,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1133,type,
    top_top_set_real: set_real ).

tff(func_def_1134,type,
    top_top_set_char: set_char ).

tff(func_def_1135,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1136,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1137,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1138,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1139,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1140,type,
    power_power_real: real > fun_nat_real ).

tff(func_def_1141,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1142,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_1143,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1144,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_1145,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1146,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_1147,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_1148,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1149,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1150,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1151,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_1152,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1153,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1154,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1155,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1156,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1157,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1158,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1159,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1160,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1161,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_1162,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1163,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_1164,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1165,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1166,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1167,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1168,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_1169,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1170,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1171,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_1172,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1173,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1174,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1175,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1176,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_1177,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_1178,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1179,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1180,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1181,type,
    field_7254667332652039916t_real: rat > real ).

tff(func_def_1182,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1183,type,
    of_int: fun_int_rat ).

tff(func_def_1184,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_1185,type,
    positive: fun_rat_bool ).

tff(func_def_1186,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1187,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1188,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_1189,type,
    positive2: fun_real_bool ).

tff(func_def_1190,type,
    vanishes: fun_nat_rat > bool ).

tff(func_def_1191,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1192,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1193,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1194,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1195,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1196,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1197,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1198,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_1199,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_1200,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1201,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1202,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1203,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1204,type,
    divide_divide_rat: ( rat * rat ) > rat ).

tff(func_def_1205,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1206,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1207,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_1208,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1209,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1210,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1211,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_1212,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1213,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1214,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1215,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_1216,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_1217,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1218,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_1219,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_1220,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_1221,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1222,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1223,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1224,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1225,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_1226,type,
    sums_int: fun_nat_int > fun_int_bool ).

tff(func_def_1227,type,
    sums_nat: fun_nat_nat > fun_nat_bool ).

tff(func_def_1228,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_1229,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_1230,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_1231,type,
    collect_bool: fun_bool_bool > set_bool ).

tff(func_def_1232,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_1233,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_1234,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_1235,type,
    collect_num: fun_num_bool > set_num ).

tff(func_def_1236,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_1237,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_1238,type,
    collect_rat: fun_rat_bool > set_rat ).

tff(func_def_1239,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_1240,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_1241,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_bool > set_VEBT_VEBT ).

tff(func_def_1242,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_1243,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1244,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1245,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1246,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1247,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1248,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1249,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1250,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1251,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1252,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1253,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1254,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1255,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat * rat ) > rat ).

tff(func_def_1256,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1257,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1258,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1259,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1260,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1261,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1262,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1263,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1264,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1265,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1266,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1267,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1268,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1269,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1270,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1271,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1272,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

tff(func_def_1273,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1274,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_1275,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1276,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1277,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1278,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1279,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1280,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1281,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1282,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1283,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1284,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1285,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

tff(func_def_1286,type,
    ascii_of: char > char ).

tff(func_def_1287,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1288,type,
    size_char: char > nat ).

tff(func_def_1289,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1290,type,
    integer_of_char: char > code_integer ).

tff(func_def_1291,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1292,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1293,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1294,type,
    arccos: fun_real_real ).

tff(func_def_1295,type,
    arcosh_real: fun_real_real ).

tff(func_def_1296,type,
    arcsin: fun_real_real ).

tff(func_def_1297,type,
    arctan: fun_real_real ).

tff(func_def_1298,type,
    arsinh_real: fun_real_real ).

tff(func_def_1299,type,
    artanh_real: fun_real_real ).

tff(func_def_1300,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1301,type,
    cos_real: fun_real_real ).

tff(func_def_1302,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1303,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1304,type,
    cosh_real: fun_real_real ).

tff(func_def_1305,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1306,type,
    cot_real: fun_real_real ).

tff(func_def_1307,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1308,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1309,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1310,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1311,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1312,type,
    exp_real: fun_real_real ).

tff(func_def_1313,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1314,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1315,type,
    pi: real ).

tff(func_def_1316,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1317,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1318,type,
    sin_real: fun_real_real ).

tff(func_def_1319,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1320,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1321,type,
    sinh_real: fun_real_real ).

tff(func_def_1322,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1323,type,
    tan_real: fun_real_real ).

tff(func_def_1324,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1325,type,
    tanh_real: fun_real_real ).

tff(func_def_1326,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1327,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1328,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1329,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1330,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1331,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1332,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1333,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1334,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1335,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1336,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1337,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1338,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1339,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1340,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1341,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1342,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1343,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1344,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1345,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1346,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1347,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1348,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1349,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_1350,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1351,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1352,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1353,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1354,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1355,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1356,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1357,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1358,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1359,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1360,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1361,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1362,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1363,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1364,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1365,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1366,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1367,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1368,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1369,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1370,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1371,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1372,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1373,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1374,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1375,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1376,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1377,type,
    aa_com177695874307951165omplex: ( fun_co3732688428756473980omplex * complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1378,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1379,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1380,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1381,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1382,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1383,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1384,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_1385,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1386,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_1387,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1388,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1389,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1390,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1391,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1392,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1393,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1394,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1395,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1396,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1397,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1398,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1399,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1400,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1401,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1402,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1403,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1404,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1405,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1406,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1407,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1408,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1409,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1410,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1411,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1412,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1413,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1414,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1415,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1416,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1417,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1418,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1419,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1420,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1421,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1422,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1423,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1424,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1425,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1426,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1427,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1428,type,
    aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).

tff(func_def_1429,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1430,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1431,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1432,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1433,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1434,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1435,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1436,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1437,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1438,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1439,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1440,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1441,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1442,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1443,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1444,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1445,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1446,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1447,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1448,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1449,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1450,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1451,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1452,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1453,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1454,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1455,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1456,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1457,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1458,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1459,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1460,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1461,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1462,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1463,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1464,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1465,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1466,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1467,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1468,type,
    aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).

tff(func_def_1469,type,
    aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).

tff(func_def_1470,type,
    aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).

tff(func_def_1471,type,
    aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).

tff(func_def_1472,type,
    aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).

tff(func_def_1473,type,
    aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1474,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1475,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1476,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1477,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1478,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1479,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1480,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_1481,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1482,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1483,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1484,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1485,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1486,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1487,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1488,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1489,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1490,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1491,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1492,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1493,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1494,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1495,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1496,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1497,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1498,type,
    aa_rat7467449789483521253at_rat: ( fun_ra8505079968215247908at_rat * rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1499,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1500,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1501,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1502,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1503,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1504,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1505,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1506,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1507,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1508,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1509,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1510,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1511,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1512,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1513,type,
    aa_rea1729780184207679413t_real: ( fun_re6135230694098607860t_real * real ) > fun_re8542384036533109323t_real ).

tff(func_def_1514,type,
    aa_set_nat_complex: ( fun_set_nat_complex * set_nat ) > complex ).

tff(func_def_1515,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1516,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1517,type,
    aa_set_nat_real: ( fun_set_nat_real * set_nat ) > real ).

tff(func_def_1518,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1519,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1520,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1521,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1522,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1523,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1524,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1525,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1526,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1527,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1528,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1529,type,
    aa_fun1953249243402654830x_real: ( fun_fu8968174646369908141x_real * fun_complex_complex ) > fun_complex_real ).

tff(func_def_1530,type,
    aa_fun4286351638413746156ex_int: ( fun_fu4213752561377164075ex_int * fun_complex_int ) > fun_complex_int ).

tff(func_def_1531,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1532,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1533,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1534,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1535,type,
    aa_fun1985759105522019690t_real: ( fun_fu3594690983434520489t_real * fun_int_complex ) > fun_int_real ).

tff(func_def_1536,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1537,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1538,type,
    aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).

tff(func_def_1539,type,
    aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_1540,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1541,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1542,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1543,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1544,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1545,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1546,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1547,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1548,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1549,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1550,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1551,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_1552,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_1553,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1554,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1555,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_1556,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1557,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_1558,type,
    aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).

tff(func_def_1559,type,
    aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_1560,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1561,type,
    aa_fun2283220954820195200at_rat: ( fun_fu622952192041312191at_rat * fun_nat_nat ) > fun_nat_rat ).

tff(func_def_1562,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1563,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1564,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1565,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1566,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_1567,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1568,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1569,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1570,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1571,type,
    aa_fun5258240734392065441l_bool: ( fun_fu990398353789569848l_bool * fun_nat_rat ) > fun_real_bool ).

tff(func_def_1572,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1573,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1574,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1575,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_1576,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_1577,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1578,type,
    aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).

tff(func_def_1579,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_1580,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_1581,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_1582,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1583,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1584,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_1585,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1586,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_1587,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_1588,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1589,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1590,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_1591,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_1592,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_1593,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1594,type,
    aa_fun2786211375485122666l_real: ( fun_fu6344110373156359337l_real * fun_real_complex ) > fun_real_real ).

tff(func_def_1595,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1596,type,
    aa_fun8270430325945277160al_int: ( fun_fu3737244727311182119al_int * fun_real_int ) > fun_real_int ).

tff(func_def_1597,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1598,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1599,type,
    aa_fun9137951878280015556l_bool: ( fun_fu7307090382573344987l_bool * fun_real_real ) > bool ).

tff(func_def_1600,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_1601,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1602,type,
    aa_fun5767801665285160478t_real: ( fun_fu1617006900395023197t_real * fun_set_nat_complex ) > fun_set_nat_real ).

tff(func_def_1603,type,
    aa_fun3386010016858254564at_nat: ( fun_fu1590586450949517859at_nat * fun_set_nat_nat ) > fun_set_nat_nat ).

tff(func_def_1604,type,
    aa_fun3569254276315353500t_real: ( fun_fu5354524256550068955t_real * fun_set_nat_real ) > fun_set_nat_real ).

tff(func_def_1605,type,
    aa_fun9159459243913713430l_bool: ( fun_fu762719556336274221l_bool * fun_fu8328862064278946247at_rat ) > fun_fu7307090382573344987l_bool ).

tff(func_def_1606,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1607,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1608,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1609,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1610,type,
    fFalse: bool ).

tff(func_def_1611,type,
    fNot: fun_bool_bool ).

tff(func_def_1612,type,
    fTrue: bool ).

tff(func_def_1613,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1614,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1615,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1616,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1617,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1618,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1619,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1620,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1621,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1622,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1623,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1624,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1625,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1626,type,
    deg: nat ).

tff(func_def_1627,type,
    info: option4927543243414619207at_nat ).

tff(func_def_1628,type,
    m: nat ).

tff(func_def_1629,type,
    n: nat ).

tff(func_def_1630,type,
    na: nat ).

tff(func_def_1631,type,
    summary: vEBT_VEBT ).

tff(func_def_1632,type,
    ta: vEBT_VEBT ).

tff(func_def_1633,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1634,type,
    sK31: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1635,type,
    sK32: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1636,type,
    sK33: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1637,type,
    sK34: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1638,type,
    sK35: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1639,type,
    sK36: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1640,type,
    sK37: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1641,type,
    sK38: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1642,type,
    sK39: list_VEBT_VEBT > nat ).

tff(func_def_1643,type,
    sK40: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1644,type,
    sK41: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1645,type,
    sK42: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1646,type,
    sK43: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1647,type,
    sK44: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1648,type,
    sK45: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1649,type,
    sK46: list_VEBT_VEBT > nat ).

tff(func_def_1650,type,
    sK47: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1651,type,
    sK48: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1652,type,
    sK49: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1653,type,
    sK50: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1654,type,
    sK51: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1655,type,
    sK52: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1656,type,
    sK53: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1657,type,
    sK54: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1658,type,
    sK55: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1659,type,
    sK56: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1660,type,
    sK57: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1661,type,
    sK58: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1662,type,
    sK59: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1663,type,
    sK60: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1664,type,
    sK61: vEBT_VEBT > nat ).

tff(func_def_1665,type,
    sK62: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1666,type,
    sK63: list_VEBT_VEBT > nat ).

tff(func_def_1667,type,
    sK64: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1668,type,
    sK65: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1669,type,
    sK66: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1670,type,
    sK67: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1671,type,
    sK68: vEBT_VEBT > nat ).

tff(func_def_1672,type,
    sK69: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1673,type,
    sK70: list_VEBT_VEBT > nat ).

tff(func_def_1674,type,
    sK71: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1675,type,
    sK72: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1676,type,
    sK73: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1677,type,
    sK74: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1678,type,
    sK75: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1679,type,
    sK76: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1680,type,
    sK77: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1681,type,
    sK78: list_VEBT_VEBT > nat ).

tff(func_def_1682,type,
    sK79: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1683,type,
    sK80: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1684,type,
    sK81: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1685,type,
    sK82: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1686,type,
    sK83: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1687,type,
    sK84: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1688,type,
    sK85: list_VEBT_VEBT > nat ).

tff(func_def_1689,type,
    sK86: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1690,type,
    sK87: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1691,type,
    sK88: vEBT_VEBT > bool ).

tff(func_def_1692,type,
    sK89: vEBT_VEBT > bool ).

tff(func_def_1693,type,
    sK90: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1694,type,
    sK91: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1695,type,
    sK92: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1696,type,
    sK93: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1697,type,
    sK94: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1698,type,
    sK95: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1699,type,
    sK96: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1700,type,
    sK97: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1701,type,
    sK98: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1702,type,
    sK99: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1703,type,
    sK100: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1704,type,
    sK101: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1705,type,
    sK102: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1706,type,
    sK103: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1707,type,
    sK104: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1708,type,
    sK105: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1709,type,
    sK106: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1710,type,
    sK107: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1711,type,
    sK108: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1712,type,
    sK109: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1713,type,
    sK110: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1714,type,
    sK111: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1715,type,
    sK112: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1716,type,
    sK113: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1717,type,
    sK114: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1718,type,
    sK115: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1719,type,
    sK116: vEBT_VEBT > bool ).

tff(func_def_1720,type,
    sK117: vEBT_VEBT > bool ).

tff(func_def_1721,type,
    sK118: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1722,type,
    sK119: list_VEBT_VEBT > nat ).

tff(func_def_1723,type,
    sK120: vEBT_VEBT > nat ).

tff(func_def_1724,type,
    sK121: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1725,type,
    sK122: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1726,type,
    sK123: list_VEBT_VEBT > nat ).

tff(func_def_1727,type,
    sK124: vEBT_VEBT > nat ).

tff(func_def_1728,type,
    sK125: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1729,type,
    sK126: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1730,type,
    sK127: nat ).

tff(func_def_1731,type,
    sK128: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1732,type,
    sK129: vEBT_VEBT ).

tff(func_def_1733,type,
    sK130: nat > list_VEBT_VEBT ).

tff(func_def_1734,type,
    sK131: ( nat * nat ) > nat ).

tff(func_def_1735,type,
    sK132: ( nat * nat ) > nat ).

tff(func_def_1736,type,
    sK133: fun_nat_fun_nat_bool > nat ).

tff(func_def_1737,type,
    sK134: fun_nat_fun_nat_bool > nat ).

tff(func_def_1738,type,
    sK135: fun_nat_fun_nat_bool > nat ).

tff(func_def_1739,type,
    sK136: fun_nat_fun_nat_bool > nat ).

tff(func_def_1740,type,
    sK137: fun_nat_fun_nat_bool > nat ).

tff(func_def_1741,type,
    sK138: fun_nat_nat > nat ).

tff(func_def_1742,type,
    sK139: fun_nat_nat > nat ).

tff(func_def_1743,type,
    sK140: ( nat * nat ) > nat ).

tff(func_def_1744,type,
    sK141: ( nat * nat ) > nat ).

tff(func_def_1745,type,
    sK142: ( nat * nat ) > nat ).

tff(func_def_1746,type,
    sK143: ( nat * nat ) > nat ).

tff(func_def_1747,type,
    sK144: ( nat * nat ) > nat ).

tff(func_def_1748,type,
    sK145: nat > nat ).

tff(func_def_1749,type,
    sK146: nat > nat ).

tff(func_def_1750,type,
    sK147: ( nat * nat ) > nat ).

tff(func_def_1751,type,
    sK148: ( nat * nat ) > nat ).

tff(func_def_1752,type,
    sK149: ( nat * nat ) > nat ).

tff(func_def_1753,type,
    sK150: ( nat * nat ) > nat ).

tff(func_def_1754,type,
    sK151: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1755,type,
    sK152: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1756,type,
    sK153: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1757,type,
    sK154: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1758,type,
    sK155: list_VEBT_VEBT > nat ).

tff(func_def_1759,type,
    sK156: ( nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1760,type,
    sK157: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_1761,type,
    sK158: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1762,type,
    sK159: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1763,type,
    sK160: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1764,type,
    sK161: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1765,type,
    sK162: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1766,type,
    sK163: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1767,type,
    sK164: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_1768,type,
    sK165: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1769,type,
    sK166: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1770,type,
    sK167: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1771,type,
    sK168: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1772,type,
    sK169: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1773,type,
    sK170: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_1774,type,
    sK171: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_1775,type,
    sK172: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1776,type,
    sK173: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_1777,type,
    sK174: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1778,type,
    sK175: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_1779,type,
    sK176: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_1780,type,
    sK177: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1781,type,
    sK178: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1782,type,
    sK179: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1783,type,
    sK180: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1784,type,
    sK181: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1785,type,
    sK182: vEBT_VEBT > bool ).

tff(func_def_1786,type,
    sK183: vEBT_VEBT > bool ).

tff(func_def_1787,type,
    sK184: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1788,type,
    sK185: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_1789,type,
    sK186: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1790,type,
    sK187: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1791,type,
    sK188: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1792,type,
    sK189: vEBT_VEBT > bool ).

tff(func_def_1793,type,
    sK190: vEBT_VEBT > bool ).

tff(func_def_1794,type,
    sK191: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_1795,type,
    sK192: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1796,type,
    sK193: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1797,type,
    sK194: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1798,type,
    sK195: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1799,type,
    sK196: vEBT_VEBT > bool ).

tff(func_def_1800,type,
    sK197: vEBT_VEBT > bool ).

tff(func_def_1801,type,
    sK198: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1802,type,
    sK199: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1803,type,
    sK200: nat > nat ).

tff(func_def_1804,type,
    sK201: nat > nat ).

tff(func_def_1805,type,
    sK202: nat > nat ).

tff(func_def_1806,type,
    sK203: nat > nat ).

tff(func_def_1807,type,
    sK204: fun_nat_bool > nat ).

tff(func_def_1808,type,
    sK205: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1809,type,
    sK206: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1810,type,
    sK207: fun_nat_real > nat ).

tff(func_def_1811,type,
    sK208: fun_nat_nat > nat ).

tff(func_def_1812,type,
    sK209: fun_nat_real > nat ).

tff(func_def_1813,type,
    sK210: fun_nat_nat > nat ).

tff(func_def_1814,type,
    sK211: fun_nat_nat > nat ).

tff(func_def_1815,type,
    sK212: fun_nat_nat > nat ).

tff(func_def_1816,type,
    sK213: nat > nat ).

tff(func_def_1817,type,
    sK214: fun_nat_bool > nat ).

tff(func_def_1818,type,
    sK215: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1819,type,
    sK216: fun_nat_fun_nat_bool > nat ).

tff(func_def_1820,type,
    sK217: fun_nat_fun_nat_bool > nat ).

tff(func_def_1821,type,
    sK218: fun_nat_fun_nat_bool > nat ).

tff(func_def_1822,type,
    sK219: fun_nat_fun_nat_bool > nat ).

tff(func_def_1823,type,
    sK220: fun_nat_fun_nat_bool > nat ).

tff(func_def_1824,type,
    sK221: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1825,type,
    sK222: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1826,type,
    sK223: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1827,type,
    sK224: fun_nat_bool > nat ).

tff(func_def_1828,type,
    sK225: ( fun_nat_bool * nat ) > nat ).

tff(pred_def_1,type,
    bNF_re5780769757191362231t_bool: ( fun_int_fun_int_bool * fun_fu7925731147167280621l_bool * fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_bool * fun_fu8467804991414204575t_bool * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_4,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_5,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_6,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_7,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_8,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_9,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_10,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_11,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_12,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_13,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_14,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_15,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_16,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_17,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_18,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_19,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_real_bool ) > $o ).

tff(pred_def_20,type,
    bNF_re1162444993429354318l_real: ( fun_fu990398353789569848l_bool * fun_fu762719556336274221l_bool * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_21,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_22,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_23,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_24,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_25,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_26,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_27,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_28,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_29,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_30,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_31,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_32,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_33,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_34,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_35,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_36,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_37,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_38,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_39,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_40,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_41,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_42,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_43,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_44,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_45,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_46,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_47,type,
    ord_le3776645642988763374x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_48,type,
    ord_le3716944864119727344t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_49,type,
    ord_le6841235830588351564t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_50,type,
    ord_le7519368973566061808l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_51,type,
    ord_le4523237222650602006t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > $o ).

tff(pred_def_52,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_53,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_54,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_55,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_56,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_57,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_58,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_59,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_60,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_61,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_62,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_63,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_64,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_65,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_66,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_67,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_68,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_69,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_70,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_71,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_72,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_73,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_74,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_75,type,
    topolo7278393974255667507et_nat: fun_nat_set_nat > $o ).

tff(pred_def_76,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_77,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_78,type,
    accp_P4275260045618599050at_nat: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > $o ).

tff(pred_def_79,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_80,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_81,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_82,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_83,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_84,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_85,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_86,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_87,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_88,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_89,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_90,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_91,type,
    pp: bool > $o ).

tff(pred_def_92,type,
    sP0: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_93,type,
    sP1: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_94,type,
    sP2: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_95,type,
    sP3: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_96,type,
    sP4: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_97,type,
    sP5: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_98,type,
    sP6: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_99,type,
    sP7: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_100,type,
    sP8: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_101,type,
    sP9: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_102,type,
    sP10: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_103,type,
    sP11: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_104,type,
    sP12: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_105,type,
    sP13: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_106,type,
    sP14: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_107,type,
    sP15: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_108,type,
    sP16: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_109,type,
    sP17: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_110,type,
    sP18: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_111,type,
    sP19: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_112,type,
    sP20: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_113,type,
    sP21: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_114,type,
    sP22: ( nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_115,type,
    sP23: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_116,type,
    sP24: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_117,type,
    sP25: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_118,type,
    sP26: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_119,type,
    sP27: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * option4927543243414619207at_nat * bool ) > $o ).

tff(pred_def_120,type,
    sP28: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_121,type,
    sP29: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_122,type,
    sP30: ( nat * bool * vEBT_VEBT ) > $o ).

tff(f1,axiom,
    ~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Node_OIH_I2_J) ).

tff(f73,axiom,
    ! [X0: nat,X1: nat] :
      ( ( zero_zero_nat = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) )
    <=> ( ( X0 = zero_zero_nat )
        & ( X1 = zero_zero_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_zero__eq__add__iff__both__eq__0) ).

tff(f10884,axiom,
    zero_zero_nat = deg,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f10886,axiom,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

tff(f10888,axiom,
    m = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

tff(f10889,axiom,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

tff(f11435,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( zero_zero_nat = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) )
        | ( zero_zero_nat != X0 )
        | ( zero_zero_nat != X1 ) )
      & ( ( ( X0 = zero_zero_nat )
          & ( X1 = zero_zero_nat ) )
        | ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) ) ) ),
    inference(nnf_transformation,[],[f73]) ).

tff(f11436,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( zero_zero_nat = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) )
        | ( zero_zero_nat != X0 )
        | ( zero_zero_nat != X1 ) )
      & ( ( ( X0 = zero_zero_nat )
          & ( X1 = zero_zero_nat ) )
        | ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) ) ) ),
    inference(flattening,[],[f11435]) ).

tff(f11538,plain,
    zero_zero_nat = deg,
    inference(cnf_transformation,[],[f10884]) ).

tff(f11540,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
    inference(cnf_transformation,[],[f10886]) ).

tff(f11542,plain,
    na = m,
    inference(cnf_transformation,[],[f10888]) ).

tff(f11543,plain,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    inference(cnf_transformation,[],[f10889]) ).

tff(f11763,plain,
    ~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
    inference(cnf_transformation,[],[f1]) ).

tff(f12078,plain,
    ! [X0: nat,X1: nat] :
      ( ( zero_zero_nat = X0 )
      | ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) ) ),
    inference(cnf_transformation,[],[f11436]) ).

tff(f12300,plain,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,m),m),
    inference(definition_unfolding,[],[f11543,f11542]) ).

tff(f12314,plain,
    ~ pp(aa_nat_bool(vEBT_invar_vebt(summary),deg)),
    inference(definition_unfolding,[],[f11763,f11538]) ).

tff(f12472,plain,
    ! [X0: nat,X1: nat] :
      ( ( deg != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) )
      | ( deg = X0 ) ),
    inference(definition_unfolding,[],[f12078,f11538,f11538]) ).

tff(f12794,plain,
    ( ( deg != deg )
    | ( deg = m ) ),
    inference(superposition,[],[f12472,f12300]) ).

tff(f12795,plain,
    deg = m,
    inference(trivial_inequality_removal,[],[f12794]) ).

tff(f12800,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),deg)),
    inference(superposition,[],[f11540,f12795]) ).

tff(f12801,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f12800,f12314]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n020.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Sun Sep 27 12:28:19 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.84/2.75  % (3309830)Detected formulas, will run a generic FOF schedule.
% 7.84/2.75  % (3309863)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=4094640761:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 7.84/2.75  % (3309864)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=3591140996:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 7.84/2.75  % (3309867)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2942716708:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 7.84/2.75  % (3309866)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1949278278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 7.84/2.75  % (3309865)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=3880025840:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 7.84/2.75  % (3309869)dis-21_1_sil=8000:lcm=predicate:random_seed=163573704:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 7.84/2.75  % (3309868)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=338651889:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 7.84/2.75  % (3309867)Instruction limit reached! 
% 7.84/2.75  % (3309867)------------------------------
% 7.84/2.75  % (3309867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309867)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309867)Termination reason: Instruction limit
% 7.84/2.75  % (3309867)Termination phase: Preprocessing 3
% 7.84/2.75  % (3309867)Time elapsed: 0.088 s
% 7.84/2.75  % (3309867)Peak memory usage: 97 MB
% 7.84/2.75  % (3309867)Instructions burned: 119 (million)
% 7.84/2.75  % (3309866)Instruction limit reached! 
% 7.84/2.75  % (3309866)------------------------------
% 7.84/2.75  % (3309866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309866)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309866)Termination reason: Instruction limit
% 7.84/2.75  % (3309866)Termination phase: Property scanning
% 7.84/2.75  % (3309866)Time elapsed: 0.097 s
% 7.84/2.75  % (3309866)Peak memory usage: 97 MB
% 7.84/2.75  % (3309866)Instructions burned: 110 (million)
% 7.84/2.75  % (3309868)Instruction limit reached! 
% 7.84/2.75  % (3309868)------------------------------
% 7.84/2.75  % (3309868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309868)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309868)Termination reason: Instruction limit
% 7.84/2.75  % (3309868)Termination phase: Property scanning
% 7.84/2.75  % (3309868)Time elapsed: 0.109 s
% 7.84/2.75  % (3309868)Peak memory usage: 94 MB
% 7.84/2.75  % (3309868)Instructions burned: 139 (million)
% 7.84/2.75  % (3309869)Instruction limit reached! 
% 7.84/2.75  % (3309869)------------------------------
% 7.84/2.75  % (3309869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309869)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309869)Termination reason: Instruction limit
% 7.84/2.75  % (3309869)Termination phase: Unused predicate definition removal
% 7.84/2.75  % (3309869)Time elapsed: 0.134 s
% 7.84/2.75  % (3309869)Peak memory usage: 96 MB
% 7.84/2.75  % (3309869)Instructions burned: 129 (million)
% 7.84/2.75  % (3309892)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1028367053:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 7.84/2.75  % (3309891)lrs+10_1_sil=8000:sp=occurrence:random_seed=1246864889:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 7.84/2.75  % (3309894)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3775180554:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 7.84/2.75  % (3309896)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=211874160:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 7.84/2.75  % (3309892)Instruction limit reached! 
% 7.84/2.75  % (3309892)------------------------------
% 7.84/2.75  % (3309892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309892)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309892)Termination reason: Instruction limit
% 7.84/2.75  % (3309892)Termination phase: Property scanning
% 7.84/2.75  % (3309892)Time elapsed: 0.127 s
% 7.84/2.75  % (3309892)Peak memory usage: 94 MB
% 7.84/2.75  % (3309892)Instructions burned: 158 (million)
% 7.84/2.75  % (3309896)Instruction limit reached! 
% 7.84/2.75  % (3309896)------------------------------
% 7.84/2.75  % (3309896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309896)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309896)Termination reason: Instruction limit
% 7.84/2.75  % (3309896)Termination phase: SInE selection
% 7.84/2.75  % (3309896)Time elapsed: 0.133 s
% 7.84/2.75  % (3309896)Peak memory usage: 94 MB
% 7.84/2.75  % (3309896)Instructions burned: 248 (million)
% 7.84/2.75  % (3309894)First to succeed.
% 7.84/2.75  % (3309894)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3309830"
% 7.84/2.75  % (3309891)Instruction limit reached! 
% 7.84/2.75  % (3309891)------------------------------
% 7.84/2.75  % (3309891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309891)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309891)Termination reason: Instruction limit
% 7.84/2.75  % (3309891)Termination phase: Saturation
% 7.84/2.75  % (3309891)Time elapsed: 0.261 s
% 7.84/2.75  % (3309891)Peak memory usage: 101 MB
% 7.84/2.75  % (3309891)Instructions burned: 285 (million)
% 7.84/2.75  % (3309911)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=602052873:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 7.84/2.75  % (3309912)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2469483819:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 7.84/2.75  % (3309913)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=671331197:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 7.84/2.75  % (3309913)Instruction limit reached! 
% 7.84/2.75  % (3309913)------------------------------
% 7.84/2.75  % (3309913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309913)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309913)Termination reason: Instruction limit
% 7.84/2.75  % (3309913)Termination phase: Preprocessing 1
% 7.84/2.75  % (3309913)Time elapsed: 0.118 s
% 7.84/2.75  % (3309913)Peak memory usage: 95 MB
% 7.84/2.75  % (3309913)Instructions burned: 113 (million)
% 7.84/2.75  % (3309911)Instruction limit reached! 
% 7.84/2.75  % (3309911)------------------------------
% 7.84/2.75  % (3309911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.75  % (3309911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.75  % (3309911)CaDiCaL version: 2.1.3
% 7.84/2.75  % (3309911)Termination reason: Instruction limit
% 7.84/2.75  % (3309911)Termination phase: Property scanning
% 7.84/2.75  % (3309911)Time elapsed: 0.268 s
% 7.84/2.75  % (3309911)Peak memory usage: 101 MB
% 7.84/2.75  % (3309911)Instructions burned: 295 (million)
% 7.84/2.75  % (3309894)Refutation found. Thanks to Tanya!
% 7.84/2.75  % SZS status ContradictoryAxioms for theBenchmark
% 7.84/2.75  % SZS output start Proof for theBenchmark
% See solution above
% 9.52/3.01  % (3309894)------------------------------
% 9.52/3.01  % (3309894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/3.01  % (3309894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/3.01  % (3309894)CaDiCaL version: 2.1.3
% 9.52/3.01  % (3309894)Termination reason: Refutation
% 9.52/3.01  % (3309894)Time elapsed: 0.190 s
% 9.52/3.01  % (3309894)Peak memory usage: 101 MB
% 9.52/3.01  % (3309894)Instructions burned: 188 (million)
% 9.52/3.01  % (3309894)------------------------------
% 9.52/3.01  % (3309894)------------------------------
% 9.52/3.01  % (3309830)Success in time 1.886 s
% 9.52/3.01  % Vampire exiting
%------------------------------------------------------------------------------