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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP221_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 11:37:12 AM UTC 2026

% Result   : Theorem 15.69s 3.78s
% Output   : Refutation 17.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   45 (  12 unt;   0 typ;   5 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  30   ~;  28   |;   0   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :  315 ( 314 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  233 ( 232 usr;   6 prp; 0-9 aty)
%            Number of functors    : 3411 (3411 usr; 420 con; 0-8 aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_op5682630191948829869t_bool: $tType ).

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

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

tff(type_def_8,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_9,type,
    fun_fu6897202038601531823t_bool: $tType ).

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

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

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

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

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

tff(type_def_15,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_16,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_17,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_18,type,
    fun_op775672374849087042m_bool: $tType ).

tff(type_def_19,type,
    fun_op7732454363416259258t_bool: $tType ).

tff(type_def_20,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_21,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_22,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_23,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_24,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_25,type,
    fun_co3732688428756473980omplex: $tType ).

tff(type_def_26,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_27,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_28,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_29,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_30,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_31,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_32,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_33,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_34,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_35,type,
    fun_Co8502721031311864414nteger: $tType ).

tff(type_def_36,type,
    fun_na4786964484885125043t_bool: $tType ).

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

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

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

tff(type_def_40,type,
    fun_fu8303687057036190147t_bool: $tType ).

tff(type_def_41,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_42,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_43,type,
    fun_fu3477889739401271834t_real: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_56,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_57,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_58,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_59,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_60,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_61,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_62,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_63,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_64,type,
    fun_ra8505079968215247908at_rat: $tType ).

tff(type_def_65,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_66,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_67,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_68,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_69,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_70,type,
    fun_op1962577433978643573m_bool: $tType ).

tff(type_def_71,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_72,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_73,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_74,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_75,type,
    fun_fu5204410621998794179x_bool: $tType ).

tff(type_def_76,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_77,type,
    fun_op2627489687811228755t_bool: $tType ).

tff(type_def_78,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_79,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_80,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_81,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_82,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_83,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_84,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_85,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_86,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_87,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_88,type,
    fun_Pr8073036449086768093x_bool: $tType ).

tff(type_def_89,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_90,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_91,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_92,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_93,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_94,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_95,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_96,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_97,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_98,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_99,type,
    fun_fu5874800227564645059l_bool: $tType ).

tff(type_def_100,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_101,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_102,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_103,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_104,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_105,type,
    list_P8603913368774139775r_bool: $tType ).

tff(type_def_106,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_107,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_108,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_109,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_110,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_111,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_112,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_113,type,
    fun_Pr4050773816208733250omplex: $tType ).

tff(type_def_114,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_115,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_116,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_117,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_118,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_119,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_120,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_121,type,
    fun_Ex2441982661509597004d_enat: $tType ).

tff(type_def_122,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_123,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_124,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_125,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_126,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_127,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_128,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_129,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_130,type,
    fun_Pr9030630356418945121l_bool: $tType ).

tff(type_def_131,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_132,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_133,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_134,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_135,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_136,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_137,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_138,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_139,type,
    fun_Pr672294278902479040t_real: $tType ).

tff(type_def_140,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_141,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_142,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_143,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_144,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_145,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_146,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_147,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_148,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_149,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_150,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_151,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_152,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_153,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_154,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_155,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_156,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_157,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_158,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_159,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_160,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_161,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_162,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_163,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_164,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_165,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_166,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_167,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_168,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_169,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_170,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_171,type,
    fun_na5723442673449079972x_real: $tType ).

tff(type_def_172,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_173,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_174,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_175,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_176,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_177,type,
    fun_re1255401033344146673l_bool: $tType ).

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

tff(type_def_179,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_180,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_181,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_182,type,
    fun_bo1841576699660343469l_bool: $tType ).

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

tff(type_def_184,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

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

tff(type_def_188,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_189,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_204,type,
    fun_co8153928105989009288nteger: $tType ).

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

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

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

tff(type_def_208,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_210,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_211,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

tff(type_def_219,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

tff(type_def_222,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_223,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_233,type,
    fun_Ex8563670519792538868t_bool: $tType ).

tff(type_def_234,type,
    fun_na8797796813480665199d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

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

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

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

tff(func_def_7,type,
    aTP_Lamm_ag: fun_complex_complex ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_real_real ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_nat_nat ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_int_int ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_Pr1261947904930325089at_nat > fun_fu6897202038601531823t_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: set_complex > fun_fu5204410621998794179x_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: set_real > fun_fu5874800227564645059l_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: set_list_nat > fun_fu8303687057036190147t_bool ).

tff(func_def_15,type,
    aTP_Lamm_ao: set_nat > fun_fu3889889255038636099t_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_int > fun_fu7822069302422884163t_bool ).

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

tff(func_def_18,type,
    aTP_Lamm_ar: fun_re1255401033344146673l_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_nat_fun_nat_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_Co8310303586393106575r_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_int_fun_int_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_rat_rat ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_complex_complex ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_real_real ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_int_int ).

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

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

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

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

tff(func_def_31,type,
    aTP_Lamm_be: list_bool > fun_bool_bool ).

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

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

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_bool ).

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

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

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

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

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

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

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

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

tff(func_def_43,type,
    aTP_Lamm_bq: fun_re4238438383274954274t_real ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_re4238438383274954274t_real ).

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

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

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_real ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_69,type,
    aTP_Lamm_cq: fun_re4238438383274954274t_real ).

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

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

tff(func_def_72,type,
    aTP_Lamm_ct: fun_re4238438383274954274t_real ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

tff(func_def_80,type,
    aTP_Lamm_db: nat > fun_fu40286998686754419omplex ).

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

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

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

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

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_real ).

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

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

tff(func_def_88,type,
    aTP_Lamm_dj: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

tff(func_def_95,type,
    aTP_Lamm_dq: fun_re4238438383274954274t_real ).

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

tff(func_def_97,type,
    aTP_Lamm_ds: fun_re4238438383274954274t_real ).

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

tff(func_def_99,type,
    aTP_Lamm_du: fun_re4238438383274954274t_real ).

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

tff(func_def_101,type,
    aTP_Lamm_dw: fun_re4238438383274954274t_real ).

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

tff(func_def_103,type,
    aTP_Lamm_dy: fun_re4238438383274954274t_real ).

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

tff(func_def_105,type,
    aTP_Lamm_ea: fun_re4238438383274954274t_real ).

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

tff(func_def_107,type,
    aTP_Lamm_ec: fun_re4238438383274954274t_real ).

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

tff(func_def_109,type,
    aTP_Lamm_ee: fun_re4238438383274954274t_real ).

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

tff(func_def_111,type,
    aTP_Lamm_eg: fun_re4238438383274954274t_real ).

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

tff(func_def_113,type,
    aTP_Lamm_ei: fun_re4238438383274954274t_real ).

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

tff(func_def_115,type,
    aTP_Lamm_ek: fun_re4238438383274954274t_real ).

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

tff(func_def_117,type,
    aTP_Lamm_em: fun_re4238438383274954274t_real ).

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

tff(func_def_119,type,
    aTP_Lamm_eo: fun_complex_complex ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_rat_rat ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_real_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_int_int ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_nat_nat ).

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

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

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

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

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

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

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_fun_nat_nat ).

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

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

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

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

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

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

tff(func_def_137,type,
    aTP_Lamm_fg: fun_re1255401033344146673l_bool ).

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

tff(func_def_139,type,
    aTP_Lamm_fi: fun_rat_fun_rat_bool ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_num_fun_num_bool ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_nat_fun_nat_bool ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_int_fun_int_bool ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_nat_fun_nat_nat ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_nat_fun_nat_nat ).

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

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

tff(func_def_147,type,
    aTP_Lamm_fq: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_167,type,
    aTP_Lamm_gk: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

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

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_fun_nat_nat ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_210,type,
    aTP_Lamm_ib: fun_nat_fun_nat_real ).

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

tff(func_def_212,type,
    aTP_Lamm_id: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_fun_nat_nat ).

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

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

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

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

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_229,type,
    aTP_Lamm_iu: fun_nat_fun_nat_real ).

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

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

tff(func_def_232,type,
    aTP_Lamm_ix: fun_re4238438383274954274t_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_fun_nat_bool ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_253,type,
    aTP_Lamm_js: fun_re4238438383274954274t_real ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_nat_real ).

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

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

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

tff(func_def_258,type,
    aTP_Lamm_jx: fun_rat_fun_rat_bool ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_num_fun_num_bool ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_int_fun_int_bool ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_re1255401033344146673l_bool ).

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

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

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

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

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

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

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

tff(func_def_269,type,
    aTP_Lamm_ki: nat > fun_co1378794544173401837x_bool ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_303,type,
    aTP_Lamm_lq: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

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

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

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

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

tff(func_def_314,type,
    aTP_Lamm_mb: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_fun_nat_real ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_364,type,
    aTP_Lamm_nz: fun_re4238438383274954274t_real ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_in1696471567231710611nt_int ).

tff(func_def_366,type,
    aTP_Lamm_ob: fun_na4138050610385705875at_nat ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_Co2470855966376689427nteger ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_re1255401033344146673l_bool ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_nat_nat ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_nat_int ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_int_int ).

tff(func_def_372,type,
    aTP_Lamm_oh: fun_in1696471567231710611nt_int ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_na4138050610385705875at_nat ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_Co2470855966376689427nteger ).

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

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

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

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

tff(func_def_379,type,
    aTP_Lamm_oo: fun_real_bool ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_re1255401033344146673l_bool ).

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

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

tff(func_def_383,type,
    aTP_Lamm_os: fun_real_bool ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_re1255401033344146673l_bool ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_na4138050610385705875at_nat ).

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

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

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

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

tff(func_def_390,type,
    aTP_Lamm_oz: fun_nat_bool ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_nat_bool ).

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

tff(func_def_393,type,
    aTP_Lamm_pc: fun_nat_fun_nat_nat ).

tff(func_def_394,type,
    aTP_Lamm_pd: fun_nat_fun_nat_nat ).

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

tff(func_def_396,type,
    aTP_Lamm_pf: code_integer > fun_Co3025358997185726883r_bool ).

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

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

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

tff(func_def_400,type,
    aTP_Lamm_pj: fun_nat_bool > fun_nat_fun_nat_bool ).

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

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

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

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

tff(func_def_405,type,
    aTP_Lamm_po: complex > fun_na5941084329111710283x_bool ).

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

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

tff(func_def_408,type,
    aTP_Lamm_pr: fun_Co3583066429914935172er_nat ).

tff(func_def_409,type,
    aTP_Lamm_ps: fun_Co1092983284983208416er_int ).

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

tff(func_def_411,type,
    aTP_Lamm_pu: fun_na1668100129766719005at_nat ).

tff(func_def_412,type,
    aTP_Lamm_pv: nat > fun_na3408937105440547634t_bool ).

tff(func_def_413,type,
    aTP_Lamm_pw: fun_na4786964484885125043t_bool ).

tff(func_def_414,type,
    aTP_Lamm_px: nat > fun_na3408937105440547634t_bool ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_na4786964484885125043t_bool ).

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

tff(func_def_417,type,
    aTP_Lamm_qa: fun_na1668100129766719005at_nat ).

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

tff(func_def_419,type,
    aTP_Lamm_qc: fun_na1668100129766719005at_nat ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_fun_nat_bool ).

tff(func_def_421,type,
    aTP_Lamm_qe: nat > fun_li8232715659020003717t_bool ).

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

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

tff(func_def_424,type,
    aTP_Lamm_qh: fun_num_option_num ).

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

tff(func_def_426,type,
    aTP_Lamm_qj: fun_nat_option_num ).

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

tff(func_def_428,type,
    aTP_Lamm_ql: fun_num_option_num ).

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

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

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

tff(func_def_432,type,
    aTP_Lamm_qp: fun_na7595719129879163854on_num ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_real_bool ).

tff(func_def_434,type,
    aTP_Lamm_qr: fun_nat_fun_nat_nat ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_real_bool ).

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

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

tff(func_def_438,type,
    aTP_Lamm_qv: fun_nat_fun_nat_nat ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_na6724076748692969250l_real ).

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

tff(func_def_441,type,
    aTP_Lamm_qy: fun_na6724076748692969250l_real ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_re7681423839302404990l_real ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_456,type,
    aTP_Lamm_rn: fun_real_real ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_re4238438383274954274t_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_real_real ).

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

tff(func_def_460,type,
    aTP_Lamm_rr: fun_nat_fun_nat_nat ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_nat_real ).

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

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

tff(func_def_464,type,
    aTP_Lamm_rv: fun_nat_real ).

tff(func_def_465,type,
    aTP_Lamm_rw: fun_re4238438383274954274t_real ).

tff(func_def_466,type,
    aTP_Lamm_rx: fun_nat_real ).

tff(func_def_467,type,
    aTP_Lamm_ry: fun_re4238438383274954274t_real ).

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

tff(func_def_469,type,
    aTP_Lamm_sa: fun_re4238438383274954274t_real ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_re4238438383274954274t_real ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_re4238438383274954274t_real ).

tff(func_def_472,type,
    aTP_Lamm_sd: fun_re4238438383274954274t_real ).

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

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

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

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

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

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

tff(func_def_479,type,
    aTP_Lamm_sk: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_480,type,
    aTP_Lamm_sl: real > fun_re1255401033344146673l_bool ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_na6724076748692969250l_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_re7681423839302404990l_real ).

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

tff(func_def_484,type,
    aTP_Lamm_sp: fun_re7681423839302404990l_real ).

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

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

tff(func_def_487,type,
    aTP_Lamm_ss: fun_nat_fun_nat_nat ).

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

tff(func_def_489,type,
    aTP_Lamm_su: real > fun_re1255401033344146673l_bool ).

tff(func_def_490,type,
    aTP_Lamm_sv: fun_re5512370375968561900l_real ).

tff(func_def_491,type,
    aTP_Lamm_sw: real > fun_co1378794544173401837x_bool ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_re3844104906058862192omplex ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_nat_fun_nat_nat ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_nat_fun_nat_nat ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_Co8521658056209057742er_num ).

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

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

tff(func_def_498,type,
    aTP_Lamm_td: fun_nat_fun_nat_nat ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_nat_nat ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_int_fun_int_int ).

tff(func_def_501,type,
    aTP_Lamm_tg: nat > fun_na5614638261385347865t_bool ).

tff(func_def_502,type,
    aTP_Lamm_th: nat > fun_na5614638261385347865t_bool ).

tff(func_def_503,type,
    aTP_Lamm_ti: nat > fun_na5614638261385347865t_bool ).

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

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

tff(func_def_506,type,
    aTP_Lamm_tl: fun_nat_fun_nat_nat ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_Pr803113274115125473t_bool ).

tff(func_def_508,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_509,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_510,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_511,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_512,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_513,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_514,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_515,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_516,type,
    binomial: fun_nat_fun_nat_nat ).

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

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

tff(func_def_519,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

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

tff(func_def_521,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_522,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

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

tff(func_def_524,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

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

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

tff(func_def_527,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

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

tff(func_def_529,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

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

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

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

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

tff(func_def_534,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

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

tff(func_def_536,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

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

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

tff(func_def_539,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_540,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_541,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_542,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

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

tff(func_def_544,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

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

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

tff(func_def_547,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

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

tff(func_def_549,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_550,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

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

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

tff(func_def_553,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

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

tff(func_def_555,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_556,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

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

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

tff(func_def_559,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

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

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

tff(func_def_562,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

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

tff(func_def_564,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_565,type,
    bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_566,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_567,type,
    bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_568,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_569,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_570,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_571,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_572,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_573,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_574,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_575,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_576,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_577,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_578,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_579,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_580,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_581,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_582,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_583,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_584,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_585,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_586,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_587,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_588,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_589,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_590,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_591,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_592,type,
    arg: fun_complex_real ).

tff(func_def_593,type,
    cis: fun_real_complex ).

tff(func_def_594,type,
    cnj: fun_complex_complex ).

tff(func_def_595,type,
    complex2: real > fun_real_complex ).

tff(func_def_596,type,
    im: fun_complex_real ).

tff(func_def_597,type,
    re: fun_complex_real ).

tff(func_def_598,type,
    csqrt: fun_complex_complex ).

tff(func_def_599,type,
    imaginary_unit: complex ).

tff(func_def_600,type,
    rcis: real > fun_real_complex ).

tff(func_def_601,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_602,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_603,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_604,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_605,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_606,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_607,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_608,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_609,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_610,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_611,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_612,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_613,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_614,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_615,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_616,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_617,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_618,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_619,type,
    semiri4449623510593786356d_enat: nat > extended_enat ).

tff(func_def_620,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_621,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_622,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_623,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_624,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_625,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_626,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_627,type,
    at_bot_real: filter_real ).

tff(func_def_628,type,
    at_top_nat: filter_nat ).

tff(func_def_629,type,
    at_top_real: filter_real ).

tff(func_def_630,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_631,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_632,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_633,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_634,type,
    finite_card_int: set_int > nat ).

tff(func_def_635,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_636,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_637,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_638,type,
    finite_card_char: set_char > nat ).

tff(func_def_639,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_640,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_641,type,
    id_bool: fun_bool_bool ).

tff(func_def_642,type,
    id_nat: fun_nat_nat ).

tff(func_def_643,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_644,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_645,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_646,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_647,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_648,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_649,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_650,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_651,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_652,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_653,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_654,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_655,type,
    abs_abs_int: fun_int_int ).

tff(func_def_656,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_657,type,
    abs_abs_real: fun_real_real ).

tff(func_def_658,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_659,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_660,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_661,type,
    minus_minus_int: int > fun_int_int ).

tff(func_def_662,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_663,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_664,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_665,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_666,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_667,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_668,type,
    minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_669,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_670,type,
    one_one_Code_integer: code_integer ).

tff(func_def_671,type,
    one_one_complex: complex ).

tff(func_def_672,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_673,type,
    one_one_int: int ).

tff(func_def_674,type,
    one_one_nat: nat ).

tff(func_def_675,type,
    one_one_rat: rat ).

tff(func_def_676,type,
    one_one_real: real ).

tff(func_def_677,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_678,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_679,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_680,type,
    plus_plus_int: int > fun_int_int ).

tff(func_def_681,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_682,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_683,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_684,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_685,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

tff(func_def_686,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_687,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_688,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_689,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_690,type,
    times_3573771949741848930nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_691,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_692,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_693,type,
    times_times_int: int > fun_int_int ).

tff(func_def_694,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_695,type,
    times_times_num: num > fun_num_num ).

tff(func_def_696,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_697,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_698,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_699,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_700,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_701,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_702,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_703,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_704,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_705,type,
    zero_zero_complex: complex ).

tff(func_def_706,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_707,type,
    zero_zero_int: int ).

tff(func_def_708,type,
    zero_zero_nat: nat ).

tff(func_def_709,type,
    zero_zero_rat: rat ).

tff(func_def_710,type,
    zero_zero_real: real ).

tff(func_def_711,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_712,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_713,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_714,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_715,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_716,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_717,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_718,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_719,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_720,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_721,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_722,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_723,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_724,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_725,type,
    groups7108830773950497114d_enat: ( fun_na8797796813480665199d_enat * set_nat ) > extended_enat ).

tff(func_def_726,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_727,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_728,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_729,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_730,type,
    groups6381953495645901045omplex: ( fun_Pr4050773816208733250omplex * set_Pr1261947904930325089at_nat ) > complex ).

tff(func_def_731,type,
    groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_732,type,
    groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_733,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_734,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_735,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_736,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_737,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_738,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_739,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_740,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_741,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_742,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_743,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_744,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_745,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_746,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_747,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_748,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_749,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_750,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_751,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_752,type,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_753,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_754,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_755,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_756,type,
    the_int: fun_int_bool > int ).

tff(func_def_757,type,
    the_real: fun_real_bool > real ).

tff(func_def_758,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_759,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_760,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_761,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_762,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_763,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_764,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_765,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_766,type,
    if_rat: ( bool * rat ) > fun_rat_rat ).

tff(func_def_767,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_768,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_769,type,
    if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).

tff(func_def_770,type,
    if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_771,type,
    abs_Integ: product_prod_nat_nat > int ).

tff(func_def_772,type,
    rep_Integ: int > product_prod_nat_nat ).

tff(func_def_773,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_774,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_775,type,
    nat2: fun_int_nat ).

tff(func_def_776,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_777,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_778,type,
    ring_1_Ints_int: set_int ).

tff(func_def_779,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_780,type,
    ring_1_Ints_real: set_real ).

tff(func_def_781,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_782,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_783,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_784,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_785,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_786,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_787,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_788,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_789,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_790,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_791,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_792,type,
    at_infinity_real: filter_real ).

tff(func_def_793,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_794,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_795,type,
    concat_bool: list_list_bool > list_bool ).

tff(func_def_796,type,
    concat_int: list_list_int > list_int ).

tff(func_def_797,type,
    concat_nat: list_list_nat > list_nat ).

tff(func_def_798,type,
    concat_VEBT_VEBT: list_list_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_799,type,
    distinct_int: fun_list_int_bool ).

tff(func_def_800,type,
    distinct_nat: fun_list_nat_bool ).

tff(func_def_801,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_802,type,
    linord1735203802627413978nt_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_803,type,
    linord738340561235409698at_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_804,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_805,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_806,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_807,type,
    nil_int: list_int ).

tff(func_def_808,type,
    nil_nat: list_nat ).

tff(func_def_809,type,
    hd_nat: list_nat > nat ).

tff(func_def_810,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_811,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_812,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_813,type,
    set_int2: list_int > set_int ).

tff(func_def_814,type,
    set_list_bool2: list_list_bool > set_list_bool ).

tff(func_def_815,type,
    set_list_int2: list_list_int > set_list_int ).

tff(func_def_816,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_817,type,
    set_list_VEBT_VEBT2: list_list_VEBT_VEBT > set_list_VEBT_VEBT ).

tff(func_def_818,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_819,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_820,type,
    set_real2: list_real > set_real ).

tff(func_def_821,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_822,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_823,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_824,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_825,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_826,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_827,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_828,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_829,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_830,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_831,type,
    nth_Pr136253548056570280r_bool: ( list_P8603913368774139775r_bool * nat ) > produc7417142470700560111r_bool ).

tff(func_def_832,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_833,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_834,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_835,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_836,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_837,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_838,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_839,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_840,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_841,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_842,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_843,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_844,type,
    produc2469108709554126195r_bool: ( list_Code_integer * list_bool ) > list_P8603913368774139775r_bool ).

tff(func_def_845,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_846,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_847,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_848,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_849,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_850,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_851,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_852,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_853,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_854,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_855,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_856,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_857,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_858,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_859,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_860,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_861,type,
    replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_862,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_863,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_864,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_865,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_866,type,
    subseqs_bool: list_bool > list_list_bool ).

tff(func_def_867,type,
    subseqs_int: list_int > list_list_int ).

tff(func_def_868,type,
    subseqs_nat: list_nat > list_list_nat ).

tff(func_def_869,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

tff(func_def_870,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_871,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_872,type,
    upto: ( int * int ) > list_int ).

tff(func_def_873,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_874,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_875,type,
    suc: fun_nat_nat ).

tff(func_def_876,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_877,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_878,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_879,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_880,type,
    pred: fun_nat_nat ).

tff(func_def_881,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_882,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_883,type,
    semiri4216267220026989637d_enat: fun_na8797796813480665199d_enat ).

tff(func_def_884,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_885,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_886,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_887,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_888,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_889,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_890,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_891,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_892,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_893,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_894,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_895,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_896,type,
    size_size_list_int: list_int > nat ).

tff(func_def_897,type,
    size_s9193230429364170767t_bool: list_list_bool > nat ).

tff(func_def_898,type,
    size_s533118279054570080st_int: list_list_int > nat ).

tff(func_def_899,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_900,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

tff(func_def_901,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_902,type,
    size_size_list_num: list_num > nat ).

tff(func_def_903,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_904,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_905,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_906,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_907,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_908,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_909,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_910,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_911,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_912,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_913,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_914,type,
    size_size_list_real: list_real > nat ).

tff(func_def_915,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_916,type,
    size_size_num: fun_num_nat ).

tff(func_def_917,type,
    size_size_option_num: option_num > nat ).

tff(func_def_918,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_919,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_920,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_921,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_922,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_923,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_924,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_925,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_926,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_927,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_928,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_929,type,
    sqrt: fun_real_real ).

tff(func_def_930,type,
    bitM: fun_num_num ).

tff(func_def_931,type,
    inc: fun_num_num ).

tff(func_def_932,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_933,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_934,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_935,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_936,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_937,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_938,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_939,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_940,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_941,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_942,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_943,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_944,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_945,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_946,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_947,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_948,type,
    bit0: fun_num_num ).

tff(func_def_949,type,
    bit1: fun_num_num ).

tff(func_def_950,type,
    one: num ).

tff(func_def_951,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_952,type,
    size_num: fun_num_nat ).

tff(func_def_953,type,
    num_of_nat: fun_nat_num ).

tff(func_def_954,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_955,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_956,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_957,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_958,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_959,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_960,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_961,type,
    pow: num > fun_num_num ).

tff(func_def_962,type,
    pred_numeral: fun_num_nat ).

tff(func_def_963,type,
    sqr: fun_num_num ).

tff(func_def_964,type,
    none_num: option_num ).

tff(func_def_965,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_966,type,
    some_num: num > option_num ).

tff(func_def_967,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_968,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool ) > fun_op2627489687811228755t_bool ).

tff(func_def_969,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_970,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_971,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_972,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_973,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_974,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_975,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_976,type,
    bot_bot_nat: nat ).

tff(func_def_977,type,
    bot_bot_set_int: set_int ).

tff(func_def_978,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_979,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_980,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_981,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_982,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_983,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_984,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_985,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_986,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_987,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_988,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_989,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_990,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_991,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_992,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_993,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_994,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_995,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_996,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_997,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_998,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_999,type,
    top_top_set_bool: set_bool ).

tff(func_def_1000,type,
    top_top_set_nat: set_nat ).

tff(func_def_1001,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1002,type,
    top_top_set_real: set_real ).

tff(func_def_1003,type,
    top_top_set_char: set_char ).

tff(func_def_1004,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1005,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1006,type,
    power_8040749407984259932d_enat: ( extended_enat * nat ) > extended_enat ).

tff(func_def_1007,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1008,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1009,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1010,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1011,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1012,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_1013,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1014,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_1015,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1016,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_1017,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_1018,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1019,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1020,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_1021,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_1022,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1023,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_1024,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1025,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1026,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1027,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_1028,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_1029,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1030,type,
    produc6499014454317279255nteger: ( fun_Co8499238673658658103nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1031,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1032,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1033,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1034,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1035,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_1036,type,
    produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).

tff(func_def_1037,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1038,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_1039,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1040,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1041,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1042,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1043,type,
    produc5023667602222594023t_bool: ( fun_na4786964484885125043t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1044,type,
    produc4528391901023682385at_nat: ( fun_na1668100129766719005at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1045,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1046,type,
    produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).

tff(func_def_1047,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1048,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1049,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_1050,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1051,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1052,type,
    fract: int > fun_int_rat ).

tff(func_def_1053,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1054,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1055,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_1056,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1057,type,
    positive: fun_rat_bool ).

tff(func_def_1058,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1059,type,
    real_V470468836141973256s_real: set_real ).

tff(func_def_1060,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1061,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1062,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1063,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1064,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1065,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1066,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1067,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1068,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1069,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1070,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_1071,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1072,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1073,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1074,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1075,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_1076,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1077,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1078,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1079,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_1080,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1081,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1082,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1083,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_1084,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_1085,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1086,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_1087,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_1088,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_1089,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1090,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1091,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1092,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1093,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_1094,type,
    sums_int: fun_nat_int > fun_int_bool ).

tff(func_def_1095,type,
    sums_nat: fun_nat_nat > fun_nat_bool ).

tff(func_def_1096,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_1097,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_1098,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_1099,type,
    collect_bool: fun_bool_bool > set_bool ).

tff(func_def_1100,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_1101,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_1102,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_1103,type,
    collect_num: fun_num_bool > set_num ).

tff(func_def_1104,type,
    collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).

tff(func_def_1105,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_1106,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_1107,type,
    collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).

tff(func_def_1108,type,
    collect_rat: fun_rat_bool > set_rat ).

tff(func_def_1109,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_1110,type,
    collect_set_int: fun_set_int_bool > set_set_int ).

tff(func_def_1111,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_bool > set_VEBT_VEBT ).

tff(func_def_1112,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1113,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1114,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1115,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1116,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1117,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1118,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1119,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1120,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1121,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1122,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1123,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1124,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1125,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1126,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1127,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1128,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1129,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1130,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1131,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1132,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1133,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1134,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_1135,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1136,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1137,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1138,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1139,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1140,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1141,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1142,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1143,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1144,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

tff(func_def_1145,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1146,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1147,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1148,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1149,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1150,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1151,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1152,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1153,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1154,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1155,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1156,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1157,type,
    ascii_of: char > char ).

tff(func_def_1158,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1159,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1160,type,
    integer_of_char: char > code_integer ).

tff(func_def_1161,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1162,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1163,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1164,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1165,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1166,type,
    arccos: fun_real_real ).

tff(func_def_1167,type,
    arcosh_real: fun_real_real ).

tff(func_def_1168,type,
    arcsin: fun_real_real ).

tff(func_def_1169,type,
    arctan: fun_real_real ).

tff(func_def_1170,type,
    arsinh_real: fun_real_real ).

tff(func_def_1171,type,
    artanh_real: fun_real_real ).

tff(func_def_1172,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1173,type,
    cos_real: fun_real_real ).

tff(func_def_1174,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1175,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1176,type,
    cosh_real: fun_real_real ).

tff(func_def_1177,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1178,type,
    cot_real: fun_real_real ).

tff(func_def_1179,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1180,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1181,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1182,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1183,type,
    exp_real: fun_real_real ).

tff(func_def_1184,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1185,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1186,type,
    pi: real ).

tff(func_def_1187,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1188,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1189,type,
    sin_real: fun_real_real ).

tff(func_def_1190,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1191,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1192,type,
    sinh_real: fun_real_real ).

tff(func_def_1193,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1194,type,
    tan_real: fun_real_real ).

tff(func_def_1195,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1196,type,
    tanh_real: fun_real_real ).

tff(func_def_1197,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1198,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1199,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1200,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1201,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1202,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1203,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1204,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1205,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1206,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1207,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1208,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1209,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1210,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1211,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1212,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1213,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1214,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1215,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1216,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_1217,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1218,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1219,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1220,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1221,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1222,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1223,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1224,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1225,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1226,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1227,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1228,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1229,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1230,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1231,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1232,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1233,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1234,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1235,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1236,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1237,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1238,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1239,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1240,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1241,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1242,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1243,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1244,type,
    aa_com177695874307951165omplex: ( fun_co3732688428756473980omplex * complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1245,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1246,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1247,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1248,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1249,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1250,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1251,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_1252,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1253,type,
    aa_Ext1337733060012393797d_enat: ( fun_Ex2441982661509597004d_enat * extended_enat ) > fun_na8797796813480665199d_enat ).

tff(func_def_1254,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_1255,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1256,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1257,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1258,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1259,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1260,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1261,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1262,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1263,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1264,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1265,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1266,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1267,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1268,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1269,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1270,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1271,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1272,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1273,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1274,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1275,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1276,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1277,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1278,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1279,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1280,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1281,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1282,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1283,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1284,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1285,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1286,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1287,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1288,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1289,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1290,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1291,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1292,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1293,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1294,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1295,type,
    aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).

tff(func_def_1296,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1297,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1298,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1299,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1300,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1301,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1302,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1303,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1304,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1305,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1306,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1307,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1308,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1309,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1310,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1311,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1312,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1313,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1314,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1315,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1316,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1317,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1318,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1319,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1320,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1321,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1322,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1323,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1324,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1325,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1326,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1327,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1328,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1329,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1330,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1331,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1332,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1333,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1334,type,
    aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).

tff(func_def_1335,type,
    aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).

tff(func_def_1336,type,
    aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).

tff(func_def_1337,type,
    aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).

tff(func_def_1338,type,
    aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).

tff(func_def_1339,type,
    aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1340,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1341,type,
    aa_Pro82899191565270131omplex: ( fun_Pr4050773816208733250omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1342,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1343,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1344,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1345,type,
    aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).

tff(func_def_1346,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1347,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1348,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1349,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1350,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1351,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1352,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1353,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1354,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1355,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1356,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1357,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1358,type,
    aa_rat7467449789483521253at_rat: ( fun_ra8505079968215247908at_rat * rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1359,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1360,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1361,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1362,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1363,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1364,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1365,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1366,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1367,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1368,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1369,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1370,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1371,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1372,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1373,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1374,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1375,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1376,type,
    aa_rea1729780184207679413t_real: ( fun_re6135230694098607860t_real * real ) > fun_re8542384036533109323t_real ).

tff(func_def_1377,type,
    aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).

tff(func_def_1378,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1379,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1380,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1381,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1382,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1383,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1384,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1385,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1386,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1387,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1388,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1389,type,
    aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1390,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1391,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1392,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1393,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1394,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1395,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1396,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1397,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1398,type,
    aa_fun6009467934925565500t_bool: ( fun_fu8303687057036190147t_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1399,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1400,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1401,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1402,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1403,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1404,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1405,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1406,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1407,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1408,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_1409,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_1410,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1411,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1412,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_1413,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1414,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1415,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1416,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1417,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1418,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1419,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1420,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1421,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1422,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1423,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1424,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1425,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_1426,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_1427,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1428,type,
    aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).

tff(func_def_1429,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_1430,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_1431,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_1432,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1433,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1434,type,
    aa_fun830836278467416944t_bool: ( fun_fu6897202038601531823t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1435,type,
    aa_fun2351638177499875132at_nat: ( fun_fu7732904369943091395at_nat * fun_Pr2602117396471556196at_nat ) > fun_Pr2602117396471556196at_nat ).

tff(func_def_1436,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1437,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1438,type,
    aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1439,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1440,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1441,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1442,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1443,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1444,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1445,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1446,type,
    fFalse: bool ).

tff(func_def_1447,type,
    fNot: fun_bool_bool ).

tff(func_def_1448,type,
    fTrue: bool ).

tff(func_def_1449,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1450,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1451,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1452,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1453,type,
    fequal_bool: bool > fun_bool_bool ).

tff(func_def_1454,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1455,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1456,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1457,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1458,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1459,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1460,type,
    deg: nat ).

tff(func_def_1461,type,
    info: option4927543243414619207at_nat ).

tff(func_def_1462,type,
    m: nat ).

tff(func_def_1463,type,
    ma: nat ).

tff(func_def_1464,type,
    mi: nat ).

tff(func_def_1465,type,
    n: nat ).

tff(func_def_1466,type,
    na: nat ).

tff(func_def_1467,type,
    summary: vEBT_VEBT ).

tff(func_def_1468,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1469,type,
    x: nat ).

tff(func_def_1470,type,
    sK0: nat > nat ).

tff(func_def_1471,type,
    sK1: nat > nat ).

tff(func_def_1472,type,
    sK2: nat > nat ).

tff(func_def_1473,type,
    sK3: ( list_real * fun_real_bool ) > real ).

tff(func_def_1474,type,
    sK4: ( list_complex * fun_complex_bool ) > complex ).

tff(func_def_1475,type,
    sK5: ( list_P6011104703257516679at_nat * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_1476,type,
    sK6: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_1477,type,
    sK7: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_1478,type,
    sK8: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_1479,type,
    sK9: ( list_int * fun_int_bool ) > int ).

tff(func_def_1480,type,
    sK10: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1481,type,
    sK11: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_1482,type,
    sK12: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1483,type,
    sK13: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1484,type,
    sK14: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1485,type,
    sK15: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1486,type,
    sK16: ( nat * nat ) > nat ).

tff(func_def_1487,type,
    sK17: ( nat * nat ) > nat ).

tff(func_def_1488,type,
    sK18: fun_Ex8563670519792538868t_bool > extended_enat ).

tff(func_def_1489,type,
    sK19: fun_nat_bool > nat ).

tff(func_def_1490,type,
    sK20: fun_nat_bool > nat ).

tff(func_def_1491,type,
    sK21: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1492,type,
    sK22: fun_nat_bool > nat ).

tff(func_def_1493,type,
    sK23: ( nat * nat ) > nat ).

tff(func_def_1494,type,
    sK24: ( nat * nat ) > nat ).

tff(func_def_1495,type,
    sK25: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1496,type,
    sK26: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1497,type,
    sK27: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1498,type,
    sK28: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1499,type,
    sK29: ( nat * nat ) > nat ).

tff(func_def_1500,type,
    sK30: fun_nat_fun_nat_bool > nat ).

tff(func_def_1501,type,
    sK31: fun_nat_fun_nat_bool > nat ).

tff(func_def_1502,type,
    sK32: fun_nat_fun_nat_bool > nat ).

tff(func_def_1503,type,
    sK33: fun_nat_fun_nat_bool > nat ).

tff(func_def_1504,type,
    sK34: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1505,type,
    sK35: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1506,type,
    sK36: nat > nat ).

tff(func_def_1507,type,
    sK37: fun_nat_bool > nat ).

tff(func_def_1508,type,
    sK38: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1509,type,
    sK39: fun_nat_fun_nat_bool > nat ).

tff(func_def_1510,type,
    sK40: fun_nat_fun_nat_bool > nat ).

tff(func_def_1511,type,
    sK41: fun_nat_fun_nat_bool > nat ).

tff(func_def_1512,type,
    sK42: fun_nat_fun_nat_bool > nat ).

tff(func_def_1513,type,
    sK43: fun_nat_fun_nat_bool > nat ).

tff(func_def_1514,type,
    sK44: fun_nat_nat > nat ).

tff(func_def_1515,type,
    sK45: fun_nat_nat > nat ).

tff(func_def_1516,type,
    sK46: ( nat * nat ) > nat ).

tff(func_def_1517,type,
    sK47: ( nat * nat ) > nat ).

tff(func_def_1518,type,
    sK48: fun_nat_real > nat ).

tff(func_def_1519,type,
    sK49: fun_nat_rat > nat ).

tff(func_def_1520,type,
    sK50: fun_nat_num > nat ).

tff(func_def_1521,type,
    sK51: fun_nat_nat > nat ).

tff(func_def_1522,type,
    sK52: fun_nat_int > nat ).

tff(func_def_1523,type,
    sK53: fun_nat_real > nat ).

tff(func_def_1524,type,
    sK54: fun_nat_rat > nat ).

tff(func_def_1525,type,
    sK55: fun_nat_num > nat ).

tff(func_def_1526,type,
    sK56: fun_nat_nat > nat ).

tff(func_def_1527,type,
    sK57: fun_nat_int > nat ).

tff(func_def_1528,type,
    sK58: fun_nat_set_int > nat ).

tff(func_def_1529,type,
    sK59: fun_nat_rat > nat ).

tff(func_def_1530,type,
    sK60: fun_nat_num > nat ).

tff(func_def_1531,type,
    sK61: fun_nat_nat > nat ).

tff(func_def_1532,type,
    sK62: fun_nat_int > nat ).

tff(func_def_1533,type,
    sK63: fun_nat_set_int > nat ).

tff(func_def_1534,type,
    sK64: fun_nat_rat > nat ).

tff(func_def_1535,type,
    sK65: fun_nat_num > nat ).

tff(func_def_1536,type,
    sK66: fun_nat_nat > nat ).

tff(func_def_1537,type,
    sK67: fun_nat_int > nat ).

tff(func_def_1538,type,
    sK68: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1539,type,
    sK69: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1540,type,
    sK70: ( nat * nat ) > nat ).

tff(func_def_1541,type,
    sK71: ( nat * nat ) > nat ).

tff(func_def_1542,type,
    sK72: ( nat * nat ) > nat ).

tff(func_def_1543,type,
    sK73: fun_nat_nat > nat ).

tff(func_def_1544,type,
    sK74: fun_nat_nat > nat ).

tff(func_def_1545,type,
    sK75: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_1546,type,
    sK76: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_1547,type,
    sK77: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_1548,type,
    sK78: ( list_int * fun_int_bool ) > int ).

tff(func_def_1549,type,
    sK79: ( real * list_real ) > nat ).

tff(func_def_1550,type,
    sK80: ( complex * list_complex ) > nat ).

tff(func_def_1551,type,
    sK81: ( product_prod_nat_nat * list_P6011104703257516679at_nat ) > nat ).

tff(func_def_1552,type,
    sK82: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1553,type,
    sK83: ( bool * list_bool ) > nat ).

tff(func_def_1554,type,
    sK84: ( nat * list_nat ) > nat ).

tff(func_def_1555,type,
    sK85: ( int * list_int ) > nat ).

tff(func_def_1556,type,
    sK86: ( list_real * fun_real_bool ) > nat ).

tff(func_def_1557,type,
    sK87: ( list_complex * fun_complex_bool ) > nat ).

tff(func_def_1558,type,
    sK88: ( list_P6011104703257516679at_nat * fun_Pr7757163693017731481t_bool ) > nat ).

tff(func_def_1559,type,
    sK89: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_1560,type,
    sK90: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_1561,type,
    sK91: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_1562,type,
    sK92: ( list_int * fun_int_bool ) > nat ).

tff(func_def_1563,type,
    sK93: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_1564,type,
    sK94: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_1565,type,
    sK95: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_1566,type,
    sK96: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_1567,type,
    sK97: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_1568,type,
    sK98: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_1569,type,
    sK99: ( list_int * fun_int_bool ) > int ).

tff(func_def_1570,type,
    sK100: ( list_int * fun_int_bool ) > nat ).

tff(func_def_1571,type,
    sK101: ( real * real ) > nat ).

tff(func_def_1572,type,
    sK102: set_real > real ).

tff(func_def_1573,type,
    sK103: ( set_real * real ) > real ).

tff(func_def_1574,type,
    sK104: ( set_real * real ) > real ).

tff(func_def_1575,type,
    sK105: real > real ).

tff(func_def_1576,type,
    sK106: rat > rat ).

tff(func_def_1577,type,
    sK107: real > real ).

tff(func_def_1578,type,
    sK108: rat > rat ).

tff(func_def_1579,type,
    sK109: ( list_real * set_real ) > real ).

tff(func_def_1580,type,
    sK110: ( list_complex * set_complex ) > complex ).

tff(func_def_1581,type,
    sK111: ( list_P6011104703257516679at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_1582,type,
    sK112: ( list_VEBT_VEBT * set_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1583,type,
    sK113: ( list_nat * set_nat ) > nat ).

tff(func_def_1584,type,
    sK114: ( list_int * set_int ) > int ).

tff(func_def_1585,type,
    sK115: nat > list_VEBT_VEBT ).

tff(func_def_1586,type,
    sK116: nat > list_bool ).

tff(func_def_1587,type,
    sK117: nat > list_nat ).

tff(func_def_1588,type,
    sK118: nat > list_int ).

tff(func_def_1589,type,
    sK119: ( nat * nat ) > nat ).

tff(func_def_1590,type,
    sK120: ( nat * nat ) > nat ).

tff(func_def_1591,type,
    sK121: fun_li6006399982103069984T_bool > list_VEBT_VEBT ).

tff(func_def_1592,type,
    sK122: fun_list_bool_bool > list_bool ).

tff(func_def_1593,type,
    sK123: fun_list_nat_bool > list_nat ).

tff(func_def_1594,type,
    sK124: fun_list_int_bool > list_int ).

tff(func_def_1595,type,
    sK125: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1596,type,
    sK126: ( list_bool * list_bool ) > nat ).

tff(func_def_1597,type,
    sK127: ( list_nat * list_nat ) > nat ).

tff(func_def_1598,type,
    sK128: ( list_int * list_int ) > nat ).

tff(func_def_1599,type,
    sK129: ( nat * fun_na2351039247863542899T_bool ) > nat ).

tff(func_def_1600,type,
    sK130: ( nat * fun_na2351039247863542899T_bool ) > list_VEBT_VEBT ).

tff(func_def_1601,type,
    sK131: ( fun_na2351039247863542899T_bool * nat ) > vEBT_VEBT ).

tff(func_def_1602,type,
    sK132: ( nat * fun_na2351039247863542899T_bool * list_VEBT_VEBT ) > nat ).

tff(func_def_1603,type,
    sK133: ( nat * fun_na9137082442855928016l_bool ) > nat ).

tff(func_def_1604,type,
    sK134: ( nat * fun_na9137082442855928016l_bool ) > list_bool ).

tff(func_def_1605,type,
    sK135: ( fun_na9137082442855928016l_bool * nat ) > bool ).

tff(func_def_1606,type,
    sK136: ( nat * fun_na9137082442855928016l_bool * list_bool ) > nat ).

tff(func_def_1607,type,
    sK137: ( nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_1608,type,
    sK138: ( nat * fun_nat_fun_nat_bool ) > list_nat ).

tff(func_def_1609,type,
    sK139: ( fun_nat_fun_nat_bool * nat ) > nat ).

tff(func_def_1610,type,
    sK140: ( nat * fun_nat_fun_nat_bool * list_nat ) > nat ).

tff(func_def_1611,type,
    sK141: ( nat * fun_nat_fun_int_bool ) > nat ).

tff(func_def_1612,type,
    sK142: ( nat * fun_nat_fun_int_bool ) > list_int ).

tff(func_def_1613,type,
    sK143: ( fun_nat_fun_int_bool * nat ) > int ).

tff(func_def_1614,type,
    sK144: ( nat * fun_nat_fun_int_bool * list_int ) > nat ).

tff(func_def_1615,type,
    sK145: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1616,type,
    sK146: ( list_bool * list_bool ) > nat ).

tff(func_def_1617,type,
    sK147: ( list_nat * list_nat ) > nat ).

tff(func_def_1618,type,
    sK148: ( list_int * list_int ) > nat ).

tff(func_def_1619,type,
    sK149: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1620,type,
    sK150: vEBT_VEBT > nat ).

tff(func_def_1621,type,
    sK151: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1622,type,
    sK152: list_VEBT_VEBT > nat ).

tff(func_def_1623,type,
    sK153: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1624,type,
    sK154: vEBT_VEBT > nat ).

tff(func_def_1625,type,
    sK155: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1626,type,
    sK156: list_VEBT_VEBT > nat ).

tff(func_def_1627,type,
    sK157: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1628,type,
    sK158: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1629,type,
    sK159: fun_nat_bool > nat ).

tff(func_def_1630,type,
    sK160: ( set_real * set_real ) > real ).

tff(func_def_1631,type,
    sK161: ( set_nat * set_nat ) > nat ).

tff(func_def_1632,type,
    sK162: ( set_complex * set_complex ) > complex ).

tff(func_def_1633,type,
    sK163: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_1634,type,
    sK164: ( set_int * set_int ) > int ).

tff(func_def_1635,type,
    sK165: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1636,type,
    sK166: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_1637,type,
    sK167: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1638,type,
    sK168: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_1639,type,
    sK172: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1640,type,
    sK173: vEBT_VEBT > nat ).

tff(func_def_1641,type,
    sK174: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_1642,type,
    sK175: ( real * real ) > real ).

tff(func_def_1643,type,
    sK176: ( rat * rat ) > rat ).

tff(func_def_1644,type,
    sK177: nat > nat ).

tff(func_def_1645,type,
    sK178: nat > nat ).

tff(func_def_1646,type,
    sK179: fun_nat_bool > nat ).

tff(func_def_1647,type,
    sK180: fun_nat_fun_nat_bool > nat ).

tff(func_def_1648,type,
    sK181: fun_nat_fun_nat_bool > nat ).

tff(func_def_1649,type,
    sK182: fun_nat_fun_nat_bool > nat ).

tff(func_def_1650,type,
    sK183: fun_nat_fun_nat_bool > nat ).

tff(func_def_1651,type,
    sK184: fun_nat_bool > nat ).

tff(func_def_1652,type,
    sK185: nat > nat ).

tff(func_def_1653,type,
    sK186: fun_nat_bool > nat ).

tff(func_def_1654,type,
    sK187: ( nat * nat ) > nat ).

tff(func_def_1655,type,
    sK188: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1656,type,
    sK189: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1657,type,
    sK190: nat > nat ).

tff(func_def_1658,type,
    sK191: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1659,type,
    sK192: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1660,type,
    sK193: nat > nat ).

tff(func_def_1661,type,
    sK194: ( nat * nat ) > nat ).

tff(func_def_1662,type,
    sK195: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1663,type,
    sK196: ( nat * nat ) > nat ).

tff(func_def_1664,type,
    sK197: fun_rat_rat > rat ).

tff(func_def_1665,type,
    sK198: fun_rat_rat > rat ).

tff(func_def_1666,type,
    sK199: fun_rat_num > rat ).

tff(func_def_1667,type,
    sK200: fun_rat_num > rat ).

tff(func_def_1668,type,
    sK201: fun_rat_nat > rat ).

tff(func_def_1669,type,
    sK202: fun_rat_nat > rat ).

tff(func_def_1670,type,
    sK203: fun_rat_int > rat ).

tff(func_def_1671,type,
    sK204: fun_rat_int > rat ).

tff(func_def_1672,type,
    sK205: fun_num_rat > num ).

tff(func_def_1673,type,
    sK206: fun_num_rat > num ).

tff(func_def_1674,type,
    sK207: fun_num_num > num ).

tff(func_def_1675,type,
    sK208: fun_num_num > num ).

tff(func_def_1676,type,
    sK209: fun_num_nat > num ).

tff(func_def_1677,type,
    sK210: fun_num_nat > num ).

tff(func_def_1678,type,
    sK211: fun_num_int > num ).

tff(func_def_1679,type,
    sK212: fun_num_int > num ).

tff(func_def_1680,type,
    sK213: fun_nat_rat > nat ).

tff(func_def_1681,type,
    sK214: fun_nat_rat > nat ).

tff(func_def_1682,type,
    sK215: fun_nat_num > nat ).

tff(func_def_1683,type,
    sK216: fun_nat_num > nat ).

tff(func_def_1684,type,
    sK217: fun_rat_rat > rat ).

tff(func_def_1685,type,
    sK218: fun_rat_rat > rat ).

tff(func_def_1686,type,
    sK219: fun_rat_num > rat ).

tff(func_def_1687,type,
    sK220: fun_rat_num > rat ).

tff(func_def_1688,type,
    sK221: fun_rat_nat > rat ).

tff(func_def_1689,type,
    sK222: fun_rat_nat > rat ).

tff(func_def_1690,type,
    sK223: fun_rat_int > rat ).

tff(func_def_1691,type,
    sK224: fun_rat_int > rat ).

tff(func_def_1692,type,
    sK225: fun_num_rat > num ).

tff(func_def_1693,type,
    sK226: fun_num_rat > num ).

tff(func_def_1694,type,
    sK227: fun_num_num > num ).

tff(func_def_1695,type,
    sK228: fun_num_num > num ).

tff(func_def_1696,type,
    sK229: fun_num_nat > num ).

tff(func_def_1697,type,
    sK230: fun_num_nat > num ).

tff(func_def_1698,type,
    sK231: fun_num_int > num ).

tff(func_def_1699,type,
    sK232: fun_num_int > num ).

tff(func_def_1700,type,
    sK233: fun_nat_rat > nat ).

tff(func_def_1701,type,
    sK234: fun_nat_rat > nat ).

tff(func_def_1702,type,
    sK235: fun_nat_num > nat ).

tff(func_def_1703,type,
    sK236: fun_nat_num > nat ).

tff(func_def_1704,type,
    sK237: fun_rat_rat > rat ).

tff(func_def_1705,type,
    sK238: fun_rat_rat > rat ).

tff(func_def_1706,type,
    sK239: fun_rat_num > rat ).

tff(func_def_1707,type,
    sK240: fun_rat_num > rat ).

tff(func_def_1708,type,
    sK241: fun_rat_nat > rat ).

tff(func_def_1709,type,
    sK242: fun_rat_nat > rat ).

tff(func_def_1710,type,
    sK243: fun_rat_int > rat ).

tff(func_def_1711,type,
    sK244: fun_rat_int > rat ).

tff(func_def_1712,type,
    sK245: fun_num_rat > num ).

tff(func_def_1713,type,
    sK246: fun_num_rat > num ).

tff(func_def_1714,type,
    sK247: fun_num_num > num ).

tff(func_def_1715,type,
    sK248: fun_num_num > num ).

tff(func_def_1716,type,
    sK249: fun_num_nat > num ).

tff(func_def_1717,type,
    sK250: fun_num_nat > num ).

tff(func_def_1718,type,
    sK251: fun_num_int > num ).

tff(func_def_1719,type,
    sK252: fun_num_int > num ).

tff(func_def_1720,type,
    sK253: fun_nat_rat > nat ).

tff(func_def_1721,type,
    sK254: fun_nat_rat > nat ).

tff(func_def_1722,type,
    sK255: fun_nat_num > nat ).

tff(func_def_1723,type,
    sK256: fun_nat_num > nat ).

tff(func_def_1724,type,
    sK257: fun_rat_rat > rat ).

tff(func_def_1725,type,
    sK258: fun_rat_rat > rat ).

tff(func_def_1726,type,
    sK259: fun_num_rat > num ).

tff(func_def_1727,type,
    sK260: fun_num_rat > num ).

tff(func_def_1728,type,
    sK261: fun_nat_rat > nat ).

tff(func_def_1729,type,
    sK262: fun_nat_rat > nat ).

tff(func_def_1730,type,
    sK263: fun_int_rat > int ).

tff(func_def_1731,type,
    sK264: fun_int_rat > int ).

tff(func_def_1732,type,
    sK265: fun_rat_num > rat ).

tff(func_def_1733,type,
    sK266: fun_rat_num > rat ).

tff(func_def_1734,type,
    sK267: fun_num_num > num ).

tff(func_def_1735,type,
    sK268: fun_num_num > num ).

tff(func_def_1736,type,
    sK269: fun_nat_num > nat ).

tff(func_def_1737,type,
    sK270: fun_nat_num > nat ).

tff(func_def_1738,type,
    sK271: fun_int_num > int ).

tff(func_def_1739,type,
    sK272: fun_int_num > int ).

tff(func_def_1740,type,
    sK273: fun_rat_nat > rat ).

tff(func_def_1741,type,
    sK274: fun_rat_nat > rat ).

tff(func_def_1742,type,
    sK275: fun_num_nat > num ).

tff(func_def_1743,type,
    sK276: fun_num_nat > num ).

tff(func_def_1744,type,
    sK277: fun_rat_fun_rat_bool > rat ).

tff(func_def_1745,type,
    sK278: fun_rat_fun_rat_bool > rat ).

tff(func_def_1746,type,
    sK279: fun_rat_fun_rat_bool > rat ).

tff(func_def_1747,type,
    sK280: fun_rat_fun_rat_bool > rat ).

tff(func_def_1748,type,
    sK281: fun_num_fun_num_bool > num ).

tff(func_def_1749,type,
    sK282: fun_num_fun_num_bool > num ).

tff(func_def_1750,type,
    sK283: fun_num_fun_num_bool > num ).

tff(func_def_1751,type,
    sK284: fun_num_fun_num_bool > num ).

tff(func_def_1752,type,
    sK285: fun_nat_fun_nat_bool > nat ).

tff(func_def_1753,type,
    sK286: fun_nat_fun_nat_bool > nat ).

tff(func_def_1754,type,
    sK287: fun_nat_fun_nat_bool > nat ).

tff(func_def_1755,type,
    sK288: fun_nat_fun_nat_bool > nat ).

tff(func_def_1756,type,
    sK289: fun_int_fun_int_bool > int ).

tff(func_def_1757,type,
    sK290: fun_int_fun_int_bool > int ).

tff(func_def_1758,type,
    sK291: fun_int_fun_int_bool > int ).

tff(func_def_1759,type,
    sK292: fun_int_fun_int_bool > int ).

tff(func_def_1760,type,
    sK301: fun_real_real > real ).

tff(func_def_1761,type,
    sK302: fun_real_real > real ).

tff(func_def_1762,type,
    sK303: fun_real_rat > real ).

tff(func_def_1763,type,
    sK304: fun_real_rat > real ).

tff(func_def_1764,type,
    sK305: fun_real_num > real ).

tff(func_def_1765,type,
    sK306: fun_real_num > real ).

tff(func_def_1766,type,
    sK307: fun_real_nat > real ).

tff(func_def_1767,type,
    sK308: fun_real_nat > real ).

tff(func_def_1768,type,
    sK309: fun_real_int > real ).

tff(func_def_1769,type,
    sK310: fun_real_int > real ).

tff(func_def_1770,type,
    sK311: fun_rat_real > rat ).

tff(func_def_1771,type,
    sK312: fun_rat_real > rat ).

tff(func_def_1772,type,
    sK313: fun_rat_rat > rat ).

tff(func_def_1773,type,
    sK314: fun_rat_rat > rat ).

tff(func_def_1774,type,
    sK315: fun_rat_num > rat ).

tff(func_def_1775,type,
    sK316: fun_rat_num > rat ).

tff(func_def_1776,type,
    sK317: fun_rat_nat > rat ).

tff(func_def_1777,type,
    sK318: fun_rat_nat > rat ).

tff(func_def_1778,type,
    sK319: fun_rat_int > rat ).

tff(func_def_1779,type,
    sK320: fun_rat_int > rat ).

tff(func_def_1780,type,
    sK321: fun_real_real > real ).

tff(func_def_1781,type,
    sK322: fun_real_real > real ).

tff(func_def_1782,type,
    sK323: fun_rat_real > rat ).

tff(func_def_1783,type,
    sK324: fun_rat_real > rat ).

tff(func_def_1784,type,
    sK325: fun_num_real > num ).

tff(func_def_1785,type,
    sK326: fun_num_real > num ).

tff(func_def_1786,type,
    sK327: fun_nat_real > nat ).

tff(func_def_1787,type,
    sK328: fun_nat_real > nat ).

tff(func_def_1788,type,
    sK329: fun_int_real > int ).

tff(func_def_1789,type,
    sK330: fun_int_real > int ).

tff(func_def_1790,type,
    sK331: fun_real_rat > real ).

tff(func_def_1791,type,
    sK332: fun_real_rat > real ).

tff(func_def_1792,type,
    sK333: fun_rat_rat > rat ).

tff(func_def_1793,type,
    sK334: fun_rat_rat > rat ).

tff(func_def_1794,type,
    sK335: fun_num_rat > num ).

tff(func_def_1795,type,
    sK336: fun_num_rat > num ).

tff(func_def_1796,type,
    sK337: fun_nat_rat > nat ).

tff(func_def_1797,type,
    sK338: fun_nat_rat > nat ).

tff(func_def_1798,type,
    sK339: fun_int_rat > int ).

tff(func_def_1799,type,
    sK340: fun_int_rat > int ).

tff(func_def_1800,type,
    sK341: fun_real_real > real ).

tff(func_def_1801,type,
    sK342: fun_real_real > real ).

tff(func_def_1802,type,
    sK343: fun_real_rat > real ).

tff(func_def_1803,type,
    sK344: fun_real_rat > real ).

tff(func_def_1804,type,
    sK345: fun_real_num > real ).

tff(func_def_1805,type,
    sK346: fun_real_num > real ).

tff(func_def_1806,type,
    sK347: fun_real_nat > real ).

tff(func_def_1807,type,
    sK348: fun_real_nat > real ).

tff(func_def_1808,type,
    sK349: fun_real_int > real ).

tff(func_def_1809,type,
    sK350: fun_real_int > real ).

tff(func_def_1810,type,
    sK351: fun_rat_real > rat ).

tff(func_def_1811,type,
    sK352: fun_rat_real > rat ).

tff(func_def_1812,type,
    sK353: fun_rat_rat > rat ).

tff(func_def_1813,type,
    sK354: fun_rat_rat > rat ).

tff(func_def_1814,type,
    sK355: fun_rat_num > rat ).

tff(func_def_1815,type,
    sK356: fun_rat_num > rat ).

tff(func_def_1816,type,
    sK357: fun_rat_nat > rat ).

tff(func_def_1817,type,
    sK358: fun_rat_nat > rat ).

tff(func_def_1818,type,
    sK359: fun_rat_int > rat ).

tff(func_def_1819,type,
    sK360: fun_rat_int > rat ).

tff(func_def_1820,type,
    sK361: fun_real_real > real ).

tff(func_def_1821,type,
    sK362: fun_real_real > real ).

tff(func_def_1822,type,
    sK363: fun_real_rat > real ).

tff(func_def_1823,type,
    sK364: fun_real_rat > real ).

tff(func_def_1824,type,
    sK365: fun_real_num > real ).

tff(func_def_1825,type,
    sK366: fun_real_num > real ).

tff(func_def_1826,type,
    sK367: fun_real_nat > real ).

tff(func_def_1827,type,
    sK368: fun_real_nat > real ).

tff(func_def_1828,type,
    sK369: fun_real_int > real ).

tff(func_def_1829,type,
    sK370: fun_real_int > real ).

tff(func_def_1830,type,
    sK371: fun_rat_real > rat ).

tff(func_def_1831,type,
    sK372: fun_rat_real > rat ).

tff(func_def_1832,type,
    sK373: fun_rat_rat > rat ).

tff(func_def_1833,type,
    sK374: fun_rat_rat > rat ).

tff(func_def_1834,type,
    sK375: fun_rat_num > rat ).

tff(func_def_1835,type,
    sK376: fun_rat_num > rat ).

tff(func_def_1836,type,
    sK377: fun_rat_nat > rat ).

tff(func_def_1837,type,
    sK378: fun_rat_nat > rat ).

tff(func_def_1838,type,
    sK379: fun_rat_int > rat ).

tff(func_def_1839,type,
    sK380: fun_rat_int > rat ).

tff(func_def_1840,type,
    sK381: fun_re1255401033344146673l_bool > real ).

tff(func_def_1841,type,
    sK382: fun_re1255401033344146673l_bool > real ).

tff(func_def_1842,type,
    sK383: fun_re1255401033344146673l_bool > real ).

tff(func_def_1843,type,
    sK384: fun_re1255401033344146673l_bool > real ).

tff(func_def_1844,type,
    sK385: fun_re1255401033344146673l_bool > real ).

tff(func_def_1845,type,
    sK386: fun_rat_fun_rat_bool > rat ).

tff(func_def_1846,type,
    sK387: fun_rat_fun_rat_bool > rat ).

tff(func_def_1847,type,
    sK388: fun_rat_fun_rat_bool > rat ).

tff(func_def_1848,type,
    sK389: fun_rat_fun_rat_bool > rat ).

tff(func_def_1849,type,
    sK390: fun_rat_fun_rat_bool > rat ).

tff(func_def_1850,type,
    sK391: fun_num_fun_num_bool > num ).

tff(func_def_1851,type,
    sK392: fun_num_fun_num_bool > num ).

tff(func_def_1852,type,
    sK393: fun_num_fun_num_bool > num ).

tff(func_def_1853,type,
    sK394: fun_num_fun_num_bool > num ).

tff(func_def_1854,type,
    sK395: fun_num_fun_num_bool > num ).

tff(func_def_1855,type,
    sK396: fun_nat_fun_nat_bool > nat ).

tff(func_def_1856,type,
    sK397: fun_nat_fun_nat_bool > nat ).

tff(func_def_1857,type,
    sK398: fun_nat_fun_nat_bool > nat ).

tff(func_def_1858,type,
    sK399: fun_nat_fun_nat_bool > nat ).

tff(func_def_1859,type,
    sK400: fun_nat_fun_nat_bool > nat ).

tff(func_def_1860,type,
    sK401: fun_int_fun_int_bool > int ).

tff(func_def_1861,type,
    sK402: fun_int_fun_int_bool > int ).

tff(func_def_1862,type,
    sK403: fun_int_fun_int_bool > int ).

tff(func_def_1863,type,
    sK404: fun_int_fun_int_bool > int ).

tff(func_def_1864,type,
    sK405: fun_int_fun_int_bool > int ).

tff(func_def_1865,type,
    sK406: fun_nat_bool > nat ).

tff(func_def_1866,type,
    sK407: fun_nat_bool > nat ).

tff(func_def_1867,type,
    sK408: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1868,type,
    sK409: fun_nat_bool > nat ).

tff(func_def_1869,type,
    sK410: ( real * real ) > real ).

tff(func_def_1870,type,
    sK411: ( rat * rat ) > rat ).

tff(func_def_1871,type,
    sK412: real > real ).

tff(func_def_1872,type,
    sK413: rat > rat ).

tff(func_def_1873,type,
    sK414: nat > nat ).

tff(func_def_1874,type,
    sK415: int > int ).

tff(func_def_1875,type,
    sK416: real > real ).

tff(func_def_1876,type,
    sK417: rat > rat ).

tff(func_def_1877,type,
    sK418: int > int ).

tff(func_def_1878,type,
    sK419: ( real * real ) > real ).

tff(func_def_1879,type,
    sK420: ( rat * rat ) > rat ).

tff(func_def_1880,type,
    sK421: ( set_real * set_real ) > real ).

tff(func_def_1881,type,
    sK422: ( set_nat * set_nat ) > nat ).

tff(func_def_1882,type,
    sK423: ( set_complex * set_complex ) > complex ).

tff(func_def_1883,type,
    sK424: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_1884,type,
    sK425: ( set_int * set_int ) > int ).

tff(func_def_1885,type,
    sK426: ( set_real * set_real ) > real ).

tff(func_def_1886,type,
    sK427: ( set_nat * set_nat ) > nat ).

tff(func_def_1887,type,
    sK428: ( set_complex * set_complex ) > complex ).

tff(func_def_1888,type,
    sK429: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_1889,type,
    sK430: ( set_int * set_int ) > int ).

tff(func_def_1890,type,
    sK431: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_1891,type,
    sK432: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1892,type,
    sK433: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1893,type,
    sK434: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1894,type,
    sK435: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1895,type,
    sK436: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_1896,type,
    sK437: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1897,type,
    sK438: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1898,type,
    sK439: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1899,type,
    sK440: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1900,type,
    sK441: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1901,type,
    sK442: fun_nat_bool > nat ).

tff(func_def_1902,type,
    sK443: fun_real_real > real ).

tff(func_def_1903,type,
    sK444: fun_real_real > real ).

tff(func_def_1904,type,
    sK445: fun_rat_real > rat ).

tff(func_def_1905,type,
    sK446: fun_rat_real > rat ).

tff(func_def_1906,type,
    sK447: fun_num_real > num ).

tff(func_def_1907,type,
    sK448: fun_num_real > num ).

tff(func_def_1908,type,
    sK449: fun_nat_real > nat ).

tff(func_def_1909,type,
    sK450: fun_nat_real > nat ).

tff(func_def_1910,type,
    sK451: fun_int_real > int ).

tff(func_def_1911,type,
    sK452: fun_int_real > int ).

tff(func_def_1912,type,
    sK453: fun_real_rat > real ).

tff(func_def_1913,type,
    sK454: fun_real_rat > real ).

tff(func_def_1914,type,
    sK455: fun_rat_rat > rat ).

tff(func_def_1915,type,
    sK456: fun_rat_rat > rat ).

tff(func_def_1916,type,
    sK457: fun_num_rat > num ).

tff(func_def_1917,type,
    sK458: fun_num_rat > num ).

tff(func_def_1918,type,
    sK459: fun_nat_rat > nat ).

tff(func_def_1919,type,
    sK460: fun_nat_rat > nat ).

tff(func_def_1920,type,
    sK461: fun_int_rat > int ).

tff(func_def_1921,type,
    sK462: fun_int_rat > int ).

tff(func_def_1922,type,
    sK463: fun_rat_real > rat ).

tff(func_def_1923,type,
    sK464: fun_rat_real > rat ).

tff(func_def_1924,type,
    sK465: fun_rat_rat > rat ).

tff(func_def_1925,type,
    sK466: fun_rat_rat > rat ).

tff(func_def_1926,type,
    sK467: fun_rat_num > rat ).

tff(func_def_1927,type,
    sK468: fun_rat_num > rat ).

tff(func_def_1928,type,
    sK469: fun_rat_nat > rat ).

tff(func_def_1929,type,
    sK470: fun_rat_nat > rat ).

tff(func_def_1930,type,
    sK471: fun_rat_int > rat ).

tff(func_def_1931,type,
    sK472: fun_rat_int > rat ).

tff(func_def_1932,type,
    sK473: fun_num_real > num ).

tff(func_def_1933,type,
    sK474: fun_num_real > num ).

tff(func_def_1934,type,
    sK475: fun_num_rat > num ).

tff(func_def_1935,type,
    sK476: fun_num_rat > num ).

tff(func_def_1936,type,
    sK477: fun_num_num > num ).

tff(func_def_1937,type,
    sK478: fun_num_num > num ).

tff(func_def_1938,type,
    sK479: fun_num_nat > num ).

tff(func_def_1939,type,
    sK480: fun_num_nat > num ).

tff(func_def_1940,type,
    sK481: fun_num_int > num ).

tff(func_def_1941,type,
    sK482: fun_num_int > num ).

tff(func_def_1942,type,
    sK483: fun_rat_real > rat ).

tff(func_def_1943,type,
    sK484: fun_rat_real > rat ).

tff(func_def_1944,type,
    sK485: fun_rat_rat > rat ).

tff(func_def_1945,type,
    sK486: fun_rat_rat > rat ).

tff(func_def_1946,type,
    sK487: fun_rat_num > rat ).

tff(func_def_1947,type,
    sK488: fun_rat_num > rat ).

tff(func_def_1948,type,
    sK489: fun_rat_nat > rat ).

tff(func_def_1949,type,
    sK490: fun_rat_nat > rat ).

tff(func_def_1950,type,
    sK491: fun_rat_int > rat ).

tff(func_def_1951,type,
    sK492: fun_rat_int > rat ).

tff(func_def_1952,type,
    sK493: fun_num_real > num ).

tff(func_def_1953,type,
    sK494: fun_num_real > num ).

tff(func_def_1954,type,
    sK495: fun_num_rat > num ).

tff(func_def_1955,type,
    sK496: fun_num_rat > num ).

tff(func_def_1956,type,
    sK497: fun_num_num > num ).

tff(func_def_1957,type,
    sK498: fun_num_num > num ).

tff(func_def_1958,type,
    sK499: fun_num_nat > num ).

tff(func_def_1959,type,
    sK500: fun_num_nat > num ).

tff(func_def_1960,type,
    sK501: fun_num_int > num ).

tff(func_def_1961,type,
    sK502: fun_num_int > num ).

tff(func_def_1962,type,
    sK503: fun_real_real > real ).

tff(func_def_1963,type,
    sK504: fun_real_real > real ).

tff(func_def_1964,type,
    sK505: fun_rat_real > rat ).

tff(func_def_1965,type,
    sK506: fun_rat_real > rat ).

tff(func_def_1966,type,
    sK507: fun_num_real > num ).

tff(func_def_1967,type,
    sK508: fun_num_real > num ).

tff(func_def_1968,type,
    sK509: fun_nat_real > nat ).

tff(func_def_1969,type,
    sK510: fun_nat_real > nat ).

tff(func_def_1970,type,
    sK511: fun_int_real > int ).

tff(func_def_1971,type,
    sK512: fun_int_real > int ).

tff(func_def_1972,type,
    sK513: fun_real_rat > real ).

tff(func_def_1973,type,
    sK514: fun_real_rat > real ).

tff(func_def_1974,type,
    sK515: fun_rat_rat > rat ).

tff(func_def_1975,type,
    sK516: fun_rat_rat > rat ).

tff(func_def_1976,type,
    sK517: fun_num_rat > num ).

tff(func_def_1977,type,
    sK518: fun_num_rat > num ).

tff(func_def_1978,type,
    sK519: fun_nat_rat > nat ).

tff(func_def_1979,type,
    sK520: fun_nat_rat > nat ).

tff(func_def_1980,type,
    sK521: fun_int_rat > int ).

tff(func_def_1981,type,
    sK522: fun_int_rat > int ).

tff(func_def_1982,type,
    sK523: ( real * real * real ) > real ).

tff(func_def_1983,type,
    sK524: ( rat * rat * rat ) > rat ).

tff(func_def_1984,type,
    sK525: ( real * real * real ) > real ).

tff(func_def_1985,type,
    sK526: ( rat * rat * rat ) > rat ).

tff(func_def_1986,type,
    sK527: ( real * real ) > real ).

tff(func_def_1987,type,
    sK528: ( rat * rat ) > rat ).

tff(func_def_1988,type,
    sK529: ( real * real ) > real ).

tff(func_def_1989,type,
    sK530: ( rat * rat ) > rat ).

tff(func_def_1990,type,
    sK531: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1991,type,
    sK532: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_1992,type,
    sK533: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1993,type,
    sK534: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_1994,type,
    sK538: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1995,type,
    sK539: vEBT_VEBT > nat ).

tff(func_def_1996,type,
    sK540: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_1997,type,
    sK541: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1998,type,
    sK542: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1999,type,
    sK543: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK544: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2001,type,
    sK545: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2002,type,
    sK546: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2003,type,
    sK547: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2004,type,
    sK548: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2005,type,
    sK549: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2006,type,
    sK550: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2007,type,
    sK551: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2008,type,
    sK552: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2009,type,
    sK553: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2010,type,
    sK554: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2011,type,
    sK555: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2012,type,
    sK556: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2013,type,
    sK561: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2014,type,
    sK562: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2015,type,
    sK563: vEBT_VEBT > bool ).

tff(func_def_2016,type,
    sK564: vEBT_VEBT > bool ).

tff(func_def_2017,type,
    sK565: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2018,type,
    sK566: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2019,type,
    sK567: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2020,type,
    sK568: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2021,type,
    sK569: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2022,type,
    sK570: vEBT_VEBT > nat ).

tff(func_def_2023,type,
    sK571: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2024,type,
    sK572: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2025,type,
    sK573: vEBT_VEBT > nat ).

tff(func_def_2026,type,
    sK574: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2027,type,
    sK577: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2028,type,
    sK578: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2029,type,
    sK582: list_VEBT_VEBT > nat ).

tff(func_def_2030,type,
    sK583: list_VEBT_VEBT > nat ).

tff(func_def_2031,type,
    sK584: vEBT_VEBT > nat ).

tff(func_def_2032,type,
    sK585: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2033,type,
    sK587: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2034,type,
    sK588: vEBT_VEBT > nat ).

tff(func_def_2035,type,
    sK589: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2036,type,
    sK590: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2037,type,
    sK591: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2038,type,
    sK592: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2039,type,
    sK593: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2040,type,
    sK594: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2041,type,
    sK595: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2042,type,
    sK596: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2043,type,
    sK597: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2044,type,
    sK598: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2045,type,
    sK599: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2046,type,
    sK600: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2047,type,
    sK601: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2048,type,
    sK602: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2049,type,
    sK603: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2050,type,
    sK604: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2051,type,
    sK605: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2052,type,
    sK606: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2053,type,
    sK607: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2054,type,
    sK608: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2055,type,
    sK609: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2056,type,
    sK610: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2057,type,
    sK611: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2058,type,
    sK612: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2059,type,
    sK613: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2060,type,
    sK614: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2061,type,
    sK615: vEBT_VEBT > bool ).

tff(func_def_2062,type,
    sK616: vEBT_VEBT > bool ).

tff(func_def_2063,type,
    sK620: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2064,type,
    sK621: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2065,type,
    sK622: fun_nat_bool > nat ).

tff(func_def_2066,type,
    sK623: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2067,type,
    sK624: option_num > num ).

tff(func_def_2068,type,
    sK625: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2069,type,
    sK626: option_num > num ).

tff(func_def_2070,type,
    sK627: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2071,type,
    sK628: vEBT_VEBT > nat ).

tff(func_def_2072,type,
    sK629: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2073,type,
    sK630: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2074,type,
    sK631: vEBT_VEBT > bool ).

tff(func_def_2075,type,
    sK632: vEBT_VEBT > bool ).

tff(func_def_2076,type,
    sK633: ( real * nat ) > real ).

tff(func_def_2077,type,
    sK634: ( nat * real ) > real ).

tff(func_def_2078,type,
    sK635: ( nat * real ) > real ).

tff(func_def_2079,type,
    sK636: ( real * real ) > nat ).

tff(func_def_2080,type,
    sK637: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2081,type,
    sK638: option_num > num ).

tff(func_def_2082,type,
    sK639: fun_op2627489687811228755t_bool > option4927543243414619207at_nat ).

tff(func_def_2083,type,
    sK640: fun_op2627489687811228755t_bool > product_prod_nat_nat ).

tff(func_def_2084,type,
    sK641: fun_option_num_bool > option_num ).

tff(func_def_2085,type,
    sK642: fun_option_num_bool > num ).

tff(func_def_2086,type,
    sK643: fun_op2627489687811228755t_bool > option4927543243414619207at_nat ).

tff(func_def_2087,type,
    sK644: fun_op2627489687811228755t_bool > product_prod_nat_nat ).

tff(func_def_2088,type,
    sK645: fun_option_num_bool > option_num ).

tff(func_def_2089,type,
    sK646: fun_option_num_bool > num ).

tff(func_def_2090,type,
    sK647: ( option4927543243414619207at_nat * fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > product_prod_nat_nat ).

tff(func_def_2091,type,
    sK648: ( option4927543243414619207at_nat * fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > product_prod_nat_nat ).

tff(func_def_2092,type,
    sK649: ( option4927543243414619207at_nat * fun_op775672374849087042m_bool * option_num ) > product_prod_nat_nat ).

tff(func_def_2093,type,
    sK650: ( option4927543243414619207at_nat * fun_op775672374849087042m_bool * option_num ) > num ).

tff(func_def_2094,type,
    sK651: ( option_num * fun_op7732454363416259258t_bool * option4927543243414619207at_nat ) > num ).

tff(func_def_2095,type,
    sK652: ( option_num * fun_op7732454363416259258t_bool * option4927543243414619207at_nat ) > product_prod_nat_nat ).

tff(func_def_2096,type,
    sK653: ( option_num * fun_op1962577433978643573m_bool * option_num ) > num ).

tff(func_def_2097,type,
    sK654: ( option_num * fun_op1962577433978643573m_bool * option_num ) > num ).

tff(func_def_2098,type,
    sK655: fun_nat_fun_nat_bool > nat ).

tff(func_def_2099,type,
    sK656: fun_nat_fun_nat_bool > nat ).

tff(func_def_2100,type,
    sK657: fun_nat_fun_nat_bool > nat ).

tff(func_def_2101,type,
    sK658: ( int * fun_int_bool ) > int ).

tff(func_def_2102,type,
    sK659: ( fun_int_bool * int * int ) > int ).

tff(func_def_2103,type,
    sK660: ( fun_int_bool * int * int ) > int ).

tff(func_def_2104,type,
    sK661: ( fun_int_bool * int * int ) > int ).

tff(func_def_2105,type,
    sK662: ( fun_int_bool * int * int ) > int ).

tff(func_def_2106,type,
    sK664: ( int * int ) > int ).

tff(func_def_2107,type,
    sK665: ( int * int ) > int ).

tff(func_def_2108,type,
    sK666: ( int * fun_int_bool ) > int ).

tff(func_def_2109,type,
    sK667: ( nat * nat * nat ) > nat ).

tff(func_def_2110,type,
    sK668: ( nat * nat * nat ) > nat ).

tff(func_def_2111,type,
    sK669: ( nat * nat ) > nat ).

tff(func_def_2112,type,
    sK670: ( nat * nat ) > nat ).

tff(func_def_2113,type,
    sK671: ( nat * nat ) > nat ).

tff(func_def_2114,type,
    sK672: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2115,type,
    sK673: ( complex * complex ) > complex ).

tff(func_def_2116,type,
    sK674: ( real * real ) > real ).

tff(func_def_2117,type,
    sK675: ( nat * nat ) > nat ).

tff(func_def_2118,type,
    sK676: ( int * int ) > int ).

tff(func_def_2119,type,
    sK677: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2120,type,
    sK678: ( complex * complex ) > complex ).

tff(func_def_2121,type,
    sK679: ( real * real ) > real ).

tff(func_def_2122,type,
    sK680: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    sK681: ( int * int ) > int ).

tff(func_def_2124,type,
    sK682: ( nat * nat ) > nat ).

tff(func_def_2125,type,
    sK683: ( nat * nat ) > nat ).

tff(func_def_2126,type,
    sK684: ( nat * nat ) > nat ).

tff(func_def_2127,type,
    sK685: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2128,type,
    sK686: ( nat * nat ) > nat ).

tff(func_def_2129,type,
    sK687: ( int * int ) > int ).

tff(func_def_2130,type,
    sK688: produc8114805097830739791at_num > fun_nat_fun_num_num ).

tff(func_def_2131,type,
    sK689: produc8114805097830739791at_num > nat ).

tff(func_def_2132,type,
    sK690: produc8114805097830739791at_num > nat ).

tff(func_def_2133,type,
    sK691: produc8114805097830739791at_num > num ).

tff(func_def_2134,type,
    sK692: produc9217583074051984497at_nat > fun_nat_fun_nat_nat ).

tff(func_def_2135,type,
    sK693: produc9217583074051984497at_nat > nat ).

tff(func_def_2136,type,
    sK694: produc9217583074051984497at_nat > nat ).

tff(func_def_2137,type,
    sK695: produc9217583074051984497at_nat > nat ).

tff(func_def_2138,type,
    sK696: ( fun_int_bool * int * int ) > int ).

tff(func_def_2139,type,
    sK697: ( fun_int_bool * int * int ) > int ).

tff(func_def_2140,type,
    sK698: ( fun_int_bool * int * int ) > int ).

tff(func_def_2141,type,
    sK699: ( fun_int_bool * int * int ) > int ).

tff(func_def_2142,type,
    sK701: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2143,type,
    sK702: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2144,type,
    sK703: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2145,type,
    sK704: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2146,type,
    sK705: ( nat * nat ) > nat ).

tff(func_def_2147,type,
    sK706: ( int * int ) > int ).

tff(func_def_2148,type,
    sK707: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2149,type,
    sK708: code_integer > code_integer ).

tff(func_def_2150,type,
    sK709: nat > nat ).

tff(func_def_2151,type,
    sK710: int > int ).

tff(func_def_2152,type,
    sK711: ( int * int * int ) > int ).

tff(func_def_2153,type,
    sK712: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2154,type,
    sK713: ( nat * nat ) > nat ).

tff(func_def_2155,type,
    sK714: ( nat * nat * nat ) > nat ).

tff(func_def_2156,type,
    sK715: ( nat * nat * nat ) > nat ).

tff(func_def_2157,type,
    sK716: fun_nat_bool > nat ).

tff(func_def_2158,type,
    sK717: fun_nat_bool > nat ).

tff(func_def_2159,type,
    sK718: fun_nat_bool > bool ).

tff(func_def_2160,type,
    sK719: fun_int_bool > int ).

tff(func_def_2161,type,
    sK720: fun_int_bool > int ).

tff(func_def_2162,type,
    sK721: fun_int_bool > bool ).

tff(func_def_2163,type,
    sK722: fun_Co8822979462182099027r_bool > code_integer ).

tff(func_def_2164,type,
    sK723: fun_Co8822979462182099027r_bool > code_integer ).

tff(func_def_2165,type,
    sK724: fun_Co8822979462182099027r_bool > bool ).

tff(func_def_2166,type,
    sK725: code_integer > code_integer ).

tff(func_def_2167,type,
    sK726: nat > nat ).

tff(func_def_2168,type,
    sK727: int > int ).

tff(func_def_2169,type,
    sK728: produc9072475918466114483BT_nat > bool ).

tff(func_def_2170,type,
    sK729: produc9072475918466114483BT_nat > bool ).

tff(func_def_2171,type,
    sK730: produc9072475918466114483BT_nat > nat ).

tff(func_def_2172,type,
    sK731: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2173,type,
    sK732: produc9072475918466114483BT_nat > nat ).

tff(func_def_2174,type,
    sK733: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2175,type,
    sK734: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2176,type,
    sK735: produc9072475918466114483BT_nat > nat ).

tff(func_def_2177,type,
    sK736: ( nat * nat * nat ) > nat ).

tff(func_def_2178,type,
    sK737: ( nat * nat * nat ) > nat ).

tff(func_def_2179,type,
    sK738: ( nat * nat * nat ) > nat ).

tff(func_def_2180,type,
    sK739: ( real * real ) > real ).

tff(func_def_2181,type,
    sK740: ( rat * rat ) > rat ).

tff(func_def_2182,type,
    sK741: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2183,type,
    sK742: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2184,type,
    sK743: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2185,type,
    sK744: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2186,type,
    sK745: produc9072475918466114483BT_nat > bool ).

tff(func_def_2187,type,
    sK746: produc9072475918466114483BT_nat > bool ).

tff(func_def_2188,type,
    sK747: produc9072475918466114483BT_nat > nat ).

tff(func_def_2189,type,
    sK748: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2190,type,
    sK749: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2191,type,
    sK750: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2192,type,
    sK751: produc9072475918466114483BT_nat > nat ).

tff(func_def_2193,type,
    sK752: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2194,type,
    sK753: produc9072475918466114483BT_nat > nat ).

tff(func_def_2195,type,
    sK754: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2196,type,
    sK755: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2197,type,
    sK756: produc9072475918466114483BT_nat > nat ).

tff(func_def_2198,type,
    sK757: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2199,type,
    sK758: fun_nat_bool > nat ).

tff(func_def_2200,type,
    sK759: fun_nat_bool > nat ).

tff(func_def_2201,type,
    sK760: fun_nat_fun_nat_bool > nat ).

tff(func_def_2202,type,
    sK761: fun_nat_fun_nat_bool > nat ).

tff(func_def_2203,type,
    sK762: fun_nat_fun_nat_bool > nat ).

tff(func_def_2204,type,
    sK763: fun_nat_fun_nat_bool > nat ).

tff(func_def_2205,type,
    sK764: fun_nat_fun_nat_bool > nat ).

tff(func_def_2206,type,
    sK765: produc9072475918466114483BT_nat > bool ).

tff(func_def_2207,type,
    sK766: produc9072475918466114483BT_nat > bool ).

tff(func_def_2208,type,
    sK767: produc9072475918466114483BT_nat > nat ).

tff(func_def_2209,type,
    sK768: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2210,type,
    sK769: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2211,type,
    sK770: produc9072475918466114483BT_nat > nat ).

tff(func_def_2212,type,
    sK771: produc9072475918466114483BT_nat > nat ).

tff(func_def_2213,type,
    sK772: produc9072475918466114483BT_nat > nat ).

tff(func_def_2214,type,
    sK773: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2215,type,
    sK774: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2216,type,
    sK775: produc9072475918466114483BT_nat > nat ).

tff(func_def_2217,type,
    sK776: produc9072475918466114483BT_nat > nat ).

tff(func_def_2218,type,
    sK777: produc9072475918466114483BT_nat > nat ).

tff(func_def_2219,type,
    sK778: produc9072475918466114483BT_nat > nat ).

tff(func_def_2220,type,
    sK779: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2221,type,
    sK780: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2222,type,
    sK781: produc9072475918466114483BT_nat > nat ).

tff(func_def_2223,type,
    sK782: produc9072475918466114483BT_nat > nat ).

tff(func_def_2224,type,
    sK783: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2225,type,
    sK784: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2226,type,
    sK785: produc9072475918466114483BT_nat > nat ).

tff(func_def_2227,type,
    sK786: ( int * fun_int_bool ) > int ).

tff(func_def_2228,type,
    sK787: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_2229,type,
    sK788: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_2230,type,
    sK789: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2231,type,
    sK790: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2232,type,
    sK791: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2233,type,
    sK792: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2234,type,
    sK793: ( fun_real_bool * real ) > real ).

tff(func_def_2235,type,
    sK794: ( fun_real_bool * real ) > real ).

tff(func_def_2236,type,
    sK795: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2237,type,
    sK796: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2238,type,
    sK797: ( fun_int_bool * int ) > int ).

tff(func_def_2239,type,
    sK798: ( fun_int_bool * int ) > int ).

tff(func_def_2240,type,
    sK799: real > real ).

tff(func_def_2241,type,
    sK800: rat > rat ).

tff(func_def_2242,type,
    sK801: num > num ).

tff(func_def_2243,type,
    sK802: nat > nat ).

tff(func_def_2244,type,
    sK803: int > int ).

tff(func_def_2245,type,
    sK804: real > real ).

tff(func_def_2246,type,
    sK805: rat > rat ).

tff(func_def_2247,type,
    sK806: num > num ).

tff(func_def_2248,type,
    sK807: nat > nat ).

tff(func_def_2249,type,
    sK808: int > int ).

tff(func_def_2250,type,
    sK809: real > real ).

tff(func_def_2251,type,
    sK810: rat > rat ).

tff(func_def_2252,type,
    sK811: num > num ).

tff(func_def_2253,type,
    sK812: nat > nat ).

tff(func_def_2254,type,
    sK813: int > int ).

tff(func_def_2255,type,
    sK814: real > real ).

tff(func_def_2256,type,
    sK815: rat > rat ).

tff(func_def_2257,type,
    sK816: num > num ).

tff(func_def_2258,type,
    sK817: nat > nat ).

tff(func_def_2259,type,
    sK818: int > int ).

tff(func_def_2260,type,
    sK819: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2261,type,
    sK820: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2262,type,
    sK821: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2263,type,
    sK823: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2264,type,
    sK824: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2265,type,
    sK825: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2266,type,
    sK827: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2267,type,
    sK828: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2268,type,
    sK829: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2269,type,
    sK831: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2270,type,
    sK832: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2271,type,
    sK833: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2272,type,
    sK835: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2273,type,
    sK836: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2274,type,
    sK837: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2275,type,
    sK839: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2276,type,
    sK840: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2277,type,
    sK841: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2278,type,
    sK843: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2279,type,
    sK844: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2280,type,
    sK845: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2281,type,
    sK847: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2282,type,
    sK848: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2283,type,
    sK849: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2284,type,
    sK851: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2285,type,
    sK852: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2286,type,
    sK853: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2287,type,
    sK855: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2288,type,
    sK856: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2289,type,
    sK857: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2290,type,
    sK859: real > real ).

tff(func_def_2291,type,
    sK860: rat > rat ).

tff(func_def_2292,type,
    sK861: num > num ).

tff(func_def_2293,type,
    sK862: nat > nat ).

tff(func_def_2294,type,
    sK863: int > int ).

tff(func_def_2295,type,
    sK864: real > real ).

tff(func_def_2296,type,
    sK865: rat > rat ).

tff(func_def_2297,type,
    sK866: num > num ).

tff(func_def_2298,type,
    sK867: nat > nat ).

tff(func_def_2299,type,
    sK868: int > int ).

tff(func_def_2300,type,
    sK869: real > real ).

tff(func_def_2301,type,
    sK870: rat > rat ).

tff(func_def_2302,type,
    sK871: num > num ).

tff(func_def_2303,type,
    sK872: nat > nat ).

tff(func_def_2304,type,
    sK873: int > int ).

tff(func_def_2305,type,
    sK874: real > real ).

tff(func_def_2306,type,
    sK875: rat > rat ).

tff(func_def_2307,type,
    sK876: num > num ).

tff(func_def_2308,type,
    sK877: nat > nat ).

tff(func_def_2309,type,
    sK878: int > int ).

tff(func_def_2310,type,
    sK879: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2311,type,
    sK880: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2312,type,
    sK881: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2313,type,
    sK883: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2314,type,
    sK884: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2315,type,
    sK885: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2316,type,
    sK887: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2317,type,
    sK888: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2318,type,
    sK889: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2319,type,
    sK891: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2320,type,
    sK892: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2321,type,
    sK893: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2322,type,
    sK895: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2323,type,
    sK896: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2324,type,
    sK897: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2325,type,
    sK899: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2326,type,
    sK900: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2327,type,
    sK901: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2328,type,
    sK903: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2329,type,
    sK904: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2330,type,
    sK905: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2331,type,
    sK907: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2332,type,
    sK908: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2333,type,
    sK909: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2334,type,
    sK911: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2335,type,
    sK912: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2336,type,
    sK913: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2337,type,
    sK915: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2338,type,
    sK916: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2339,type,
    sK917: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2340,type,
    sK919: real > real ).

tff(func_def_2341,type,
    sK920: rat > rat ).

tff(func_def_2342,type,
    sK921: num > num ).

tff(func_def_2343,type,
    sK922: nat > nat ).

tff(func_def_2344,type,
    sK923: int > int ).

tff(func_def_2345,type,
    sK924: real > real ).

tff(func_def_2346,type,
    sK925: rat > rat ).

tff(func_def_2347,type,
    sK926: num > num ).

tff(func_def_2348,type,
    sK927: nat > nat ).

tff(func_def_2349,type,
    sK928: int > int ).

tff(func_def_2350,type,
    sK929: real > real ).

tff(func_def_2351,type,
    sK930: rat > rat ).

tff(func_def_2352,type,
    sK931: num > num ).

tff(func_def_2353,type,
    sK932: nat > nat ).

tff(func_def_2354,type,
    sK933: int > int ).

tff(func_def_2355,type,
    sK934: real > real ).

tff(func_def_2356,type,
    sK935: rat > rat ).

tff(func_def_2357,type,
    sK936: num > num ).

tff(func_def_2358,type,
    sK937: nat > nat ).

tff(func_def_2359,type,
    sK938: int > int ).

tff(func_def_2360,type,
    sK939: nat > nat ).

tff(func_def_2361,type,
    sK940: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2362,type,
    sK941: ( real * real ) > real ).

tff(func_def_2363,type,
    sK942: ( rat * rat ) > rat ).

tff(func_def_2364,type,
    sK943: ( nat * nat ) > nat ).

tff(func_def_2365,type,
    sK944: ( int * int ) > int ).

tff(func_def_2366,type,
    sK945: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2367,type,
    sK946: ( real * real ) > real ).

tff(func_def_2368,type,
    sK947: ( rat * rat ) > rat ).

tff(func_def_2369,type,
    sK948: ( nat * nat ) > nat ).

tff(func_def_2370,type,
    sK949: ( int * int ) > int ).

tff(func_def_2371,type,
    sK950: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2372,type,
    sK951: ( real * real ) > real ).

tff(func_def_2373,type,
    sK952: ( rat * rat ) > rat ).

tff(func_def_2374,type,
    sK953: ( nat * nat ) > nat ).

tff(func_def_2375,type,
    sK954: ( int * int ) > int ).

tff(func_def_2376,type,
    sK955: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2377,type,
    sK956: ( real * real ) > real ).

tff(func_def_2378,type,
    sK957: ( rat * rat ) > rat ).

tff(func_def_2379,type,
    sK958: ( nat * nat ) > nat ).

tff(func_def_2380,type,
    sK959: ( int * int ) > int ).

tff(func_def_2381,type,
    sK960: nat > list_VEBT_VEBT ).

tff(func_def_2382,type,
    sK961: nat > list_bool ).

tff(func_def_2383,type,
    sK962: ( list_list_nat * nat ) > list_nat ).

tff(func_def_2384,type,
    sK963: nat > list_int ).

tff(func_def_2385,type,
    sK964: fun_nat_bool > nat ).

tff(func_def_2386,type,
    sK965: ( int * fun_int_bool ) > int ).

tff(func_def_2387,type,
    sK966: ( int * fun_int_bool ) > int ).

tff(func_def_2388,type,
    sK967: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2389,type,
    sK968: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2390,type,
    sK969: ( int * fun_int_bool ) > int ).

tff(func_def_2391,type,
    sK970: ( int * fun_int_bool ) > int ).

tff(func_def_2392,type,
    sK971: fun_int_bool > int ).

tff(func_def_2393,type,
    sK972: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2394,type,
    sK973: ( int * fun_int_bool ) > int ).

tff(func_def_2395,type,
    sK974: ( int * fun_int_bool ) > int ).

tff(func_def_2396,type,
    sK975: fun_int_bool > int ).

tff(func_def_2397,type,
    sK976: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2398,type,
    sK977: ( fun_int_bool * int ) > int ).

tff(func_def_2399,type,
    sK978: ( fun_int_bool * int ) > int ).

tff(func_def_2400,type,
    sK979: ( int * fun_int_bool ) > int ).

tff(func_def_2401,type,
    sK980: ( set_real * set_real ) > real ).

tff(func_def_2402,type,
    sK981: ( set_complex * set_complex ) > complex ).

tff(func_def_2403,type,
    sK982: ( set_int * set_int ) > int ).

tff(func_def_2404,type,
    sK983: ( set_nat * set_nat ) > nat ).

tff(func_def_2405,type,
    sK984: product_prod_num_num > num ).

tff(func_def_2406,type,
    sK985: product_prod_num_num > num ).

tff(func_def_2407,type,
    sK986: product_prod_num_num > num ).

tff(func_def_2408,type,
    sK987: product_prod_num_num > num ).

tff(func_def_2409,type,
    sK988: product_prod_num_num > num ).

tff(func_def_2410,type,
    sK989: product_prod_num_num > num ).

tff(func_def_2411,type,
    sK990: product_prod_num_num > num ).

tff(func_def_2412,type,
    sK991: product_prod_num_num > num ).

tff(func_def_2413,type,
    sK992: product_prod_num_num > num ).

tff(func_def_2414,type,
    sK993: product_prod_num_num > num ).

tff(func_def_2415,type,
    sK994: product_prod_num_num > num ).

tff(func_def_2416,type,
    sK995: product_prod_num_num > num ).

tff(func_def_2417,type,
    sK996: num > num ).

tff(func_def_2418,type,
    sK997: num > num ).

tff(func_def_2419,type,
    sK998: ( real * real ) > nat ).

tff(func_def_2420,type,
    sK999: ( real * real ) > nat ).

tff(func_def_2421,type,
    sK1000: fun_int_bool > int ).

tff(func_def_2422,type,
    sK1001: fun_int_bool > int ).

tff(func_def_2423,type,
    sK1002: rat > nat ).

tff(func_def_2424,type,
    sK1003: real > nat ).

tff(func_def_2425,type,
    sK1004: int > nat ).

tff(func_def_2426,type,
    sK1005: int > nat ).

tff(func_def_2427,type,
    sK1006: fun_int_bool > nat ).

tff(func_def_2428,type,
    sK1007: fun_int_bool > nat ).

tff(func_def_2429,type,
    sK1008: int > nat ).

tff(func_def_2430,type,
    sK1009: int > nat ).

tff(func_def_2431,type,
    sK1010: int > nat ).

tff(func_def_2432,type,
    sK1011: int > nat ).

tff(func_def_2433,type,
    sK1012: int > nat ).

tff(func_def_2434,type,
    sK1013: ( int * int ) > nat ).

tff(func_def_2435,type,
    sK1014: int > nat ).

tff(func_def_2436,type,
    sK1015: int > nat ).

tff(func_def_2437,type,
    sK1016: int > nat ).

tff(func_def_2438,type,
    sK1017: ( int * int ) > nat ).

tff(func_def_2439,type,
    sK1018: int > nat ).

tff(func_def_2440,type,
    sK1019: int > nat ).

tff(func_def_2441,type,
    sK1020: int > nat ).

tff(func_def_2442,type,
    sK1021: real > nat ).

tff(func_def_2443,type,
    sK1022: rat > nat ).

tff(func_def_2444,type,
    sK1023: rat > nat ).

tff(func_def_2445,type,
    sK1024: real > nat ).

tff(func_def_2446,type,
    sK1025: fun_nat_bool > nat ).

tff(func_def_2447,type,
    sK1026: fun_re1255401033344146673l_bool > real ).

tff(func_def_2448,type,
    sK1027: fun_re1255401033344146673l_bool > real ).

tff(func_def_2449,type,
    sK1028: fun_re1255401033344146673l_bool > real ).

tff(func_def_2450,type,
    sK1029: ( real * real * fun_re1255401033344146673l_bool ) > real ).

tff(func_def_2451,type,
    sK1030: ( real * real * fun_re1255401033344146673l_bool * real ) > real ).

tff(func_def_2452,type,
    sK1031: ( real * real * fun_re1255401033344146673l_bool * real ) > real ).

tff(func_def_2453,type,
    sK1032: ( rat * rat ) > nat ).

tff(func_def_2454,type,
    sK1033: ( real * real ) > nat ).

tff(func_def_2455,type,
    sK1034: fun_num_bool > num ).

tff(func_def_2456,type,
    sK1035: ( complex * nat ) > nat ).

tff(func_def_2457,type,
    sK1036: ( rat * nat ) > nat ).

tff(func_def_2458,type,
    sK1037: ( real * nat ) > nat ).

tff(func_def_2459,type,
    sK1038: ( int * int ) > nat ).

tff(func_def_2460,type,
    sK1039: ( nat * nat ) > nat ).

tff(func_def_2461,type,
    sK1040: real > real ).

tff(func_def_2462,type,
    sK1041: rat > rat ).

tff(func_def_2463,type,
    sK1042: ( real * real * real ) > real ).

tff(func_def_2464,type,
    sK1043: ( real * real * real ) > real ).

tff(func_def_2465,type,
    sK1044: code_integer > nat ).

tff(func_def_2466,type,
    sK1045: int > nat ).

tff(func_def_2467,type,
    sK1046: nat > nat ).

tff(func_def_2468,type,
    sK1047: int > nat ).

tff(func_def_2469,type,
    sK1048: code_integer > nat ).

tff(func_def_2470,type,
    sK1049: int > nat ).

tff(func_def_2471,type,
    sK1050: nat > nat ).

tff(func_def_2472,type,
    sK1051: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_2473,type,
    sK1052: fun_re1255401033344146673l_bool > real ).

tff(func_def_2474,type,
    sK1053: fun_rat_fun_rat_bool > rat ).

tff(func_def_2475,type,
    sK1054: fun_int_fun_int_bool > int ).

tff(func_def_2476,type,
    sK1055: ( nat * nat * fun_nat_int ) > nat ).

tff(func_def_2477,type,
    sK1056: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2478,type,
    sK1057: ( nat * fun_nat_int ) > nat ).

tff(func_def_2479,type,
    sK1058: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2480,type,
    sK1059: ( nat * fun_nat_int ) > nat ).

tff(func_def_2481,type,
    sK1060: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2482,type,
    sK1061: ( int * int ) > nat ).

tff(func_def_2483,type,
    sK1062: real > real ).

tff(func_def_2484,type,
    sK1063: real > real ).

tff(func_def_2485,type,
    sK1064: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2486,type,
    sK1065: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2487,type,
    sK1066: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2488,type,
    sK1067: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2489,type,
    sK1068: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2490,type,
    sK1069: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2491,type,
    sK1070: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2492,type,
    sK1071: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2493,type,
    sK1073: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2494,type,
    sK1074: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2495,type,
    sK1075: ( int * int * product_prod_int_int ) > int ).

tff(func_def_2496,type,
    sK1076: fun_nat_bool > nat ).

tff(func_def_2497,type,
    sK1077: fun_nat_bool > int ).

tff(func_def_2498,type,
    sK1078: fun_nat_bool > nat ).

tff(func_def_2499,type,
    sK1079: fun_nat_bool > int ).

tff(func_def_2500,type,
    sK1080: ( fun_nat_bool * int ) > nat ).

tff(func_def_2501,type,
    sK1081: real > real ).

tff(func_def_2502,type,
    sK1082: ( real * real ) > real ).

tff(func_def_2503,type,
    sK1083: real ).

tff(func_def_2504,type,
    sK1084: real > real ).

tff(func_def_2505,type,
    sK1085: ( real * real ) > real ).

tff(func_def_2506,type,
    sK1086: ( real * real ) > real ).

tff(func_def_2507,type,
    sK1087: ( real * real ) > real ).

tff(func_def_2508,type,
    sK1088: real > real ).

tff(func_def_2509,type,
    sK1089: real > nat ).

tff(func_def_2510,type,
    sK1090: real > nat ).

tff(func_def_2511,type,
    sK1091: real > nat ).

tff(func_def_2512,type,
    sK1092: real > nat ).

tff(func_def_2513,type,
    sK1093: real > nat ).

tff(func_def_2514,type,
    sK1094: real > nat ).

tff(func_def_2515,type,
    sK1095: real > nat ).

tff(func_def_2516,type,
    sK1096: real > nat ).

tff(func_def_2517,type,
    sK1097: complex > real ).

tff(func_def_2518,type,
    sK1098: real > real ).

tff(func_def_2519,type,
    sK1099: real > real ).

tff(func_def_2520,type,
    sK1100: real > real ).

tff(func_def_2521,type,
    sK1101: real > real ).

tff(func_def_2522,type,
    sK1102: real > real ).

tff(func_def_2523,type,
    sK1103: real > int ).

tff(func_def_2524,type,
    sK1104: rat > int ).

tff(func_def_2525,type,
    sK1105: rat > int ).

tff(func_def_2526,type,
    sK1106: real > int ).

tff(func_def_2527,type,
    sK1107: real > int ).

tff(func_def_2528,type,
    sK1108: rat > int ).

tff(func_def_2529,type,
    sK1109: real > int ).

tff(func_def_2530,type,
    sK1110: rat > int ).

tff(func_def_2531,type,
    sK1111: real > int ).

tff(func_def_2532,type,
    sK1112: rat > int ).

tff(func_def_2533,type,
    sK1113: ( fun_int_bool * real ) > int ).

tff(func_def_2534,type,
    sK1114: ( fun_int_bool * rat ) > int ).

tff(func_def_2535,type,
    sK1115: real > int ).

tff(func_def_2536,type,
    sK1116: rat > int ).

tff(func_def_2537,type,
    sK1117: real > int ).

tff(func_def_2538,type,
    sK1118: rat > int ).

tff(func_def_2539,type,
    sK1119: ( fun_int_bool * real ) > int ).

tff(func_def_2540,type,
    sK1120: ( fun_int_bool * rat ) > int ).

tff(func_def_2541,type,
    sK1121: real > int ).

tff(func_def_2542,type,
    sK1122: real > int ).

tff(func_def_2543,type,
    sK1123: real > int ).

tff(func_def_2544,type,
    sK1124: real > int ).

tff(func_def_2545,type,
    sK1125: rat > nat ).

tff(func_def_2546,type,
    sK1126: real > nat ).

tff(func_def_2547,type,
    sK1127: fun_real_bool > real ).

tff(func_def_2548,type,
    sK1128: fun_real_bool > real ).

tff(func_def_2549,type,
    sK1129: fun_real_bool > nat ).

tff(func_def_2550,type,
    sK1130: fun_real_bool > real ).

tff(func_def_2551,type,
    sK1131: fun_real_bool > real ).

tff(func_def_2552,type,
    sK1132: fun_real_bool > nat ).

tff(func_def_2553,type,
    sK1133: real > nat ).

tff(func_def_2554,type,
    sK1134: rat > nat ).

tff(func_def_2555,type,
    sK1135: real > nat ).

tff(func_def_2556,type,
    sK1136: ( nat * code_integer ) > code_integer ).

tff(func_def_2557,type,
    sK1137: ( nat * int ) > int ).

tff(func_def_2558,type,
    sK1138: ( nat * nat ) > nat ).

tff(func_def_2559,type,
    sK1139: fun_nat_real > nat ).

tff(func_def_2560,type,
    sK1140: ( fun_nat_real * nat ) > nat ).

tff(func_def_2561,type,
    sK1141: ( fun_nat_real * nat ) > nat ).

tff(func_def_2562,type,
    sK1142: ( fun_nat_real * nat ) > nat ).

tff(func_def_2563,type,
    sK1143: vEBT_VEBT > bool ).

tff(func_def_2564,type,
    sK1144: vEBT_VEBT > bool ).

tff(func_def_2565,type,
    sK1145: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2566,type,
    sK1146: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2567,type,
    sK1147: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2568,type,
    sK1148: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2569,type,
    sK1149: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2570,type,
    sK1150: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2571,type,
    sK1151: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2572,type,
    sK1152: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2573,type,
    sK1153: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2574,type,
    sK1154: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2575,type,
    sK1156: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2576,type,
    sK1157: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2577,type,
    sK1158: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2578,type,
    sK1159: ( vEBT_VEBT * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2579,type,
    sK1160: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2580,type,
    sK1161: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2581,type,
    sK1162: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2582,type,
    sK1163: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2583,type,
    sK1164: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2584,type,
    sK1165: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2585,type,
    sK1166: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2586,type,
    sK1167: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2587,type,
    sK1168: vEBT_VEBT > bool ).

tff(func_def_2588,type,
    sK1169: vEBT_VEBT > bool ).

tff(func_def_2589,type,
    sK1170: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2590,type,
    sK1171: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2591,type,
    sK1174: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2592,type,
    sK1175: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2593,type,
    sK1176: ( vEBT_VEBT * nat * nat * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2594,type,
    sK1177: ( vEBT_VEBT * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2595,type,
    sK1178: ( fun_nat_complex * real ) > nat ).

tff(func_def_2596,type,
    sK1179: ( fun_nat_real * real ) > nat ).

tff(func_def_2597,type,
    sK1180: fun_nat_complex > real ).

tff(func_def_2598,type,
    sK1181: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2599,type,
    sK1182: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2600,type,
    sK1183: fun_nat_real > real ).

tff(func_def_2601,type,
    sK1184: ( fun_nat_real * nat ) > nat ).

tff(func_def_2602,type,
    sK1185: ( fun_nat_real * nat ) > nat ).

tff(func_def_2603,type,
    sK1186: fun_nat_complex > real ).

tff(func_def_2604,type,
    sK1187: ( fun_nat_complex * real ) > nat ).

tff(func_def_2605,type,
    sK1188: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2606,type,
    sK1189: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2607,type,
    sK1190: fun_nat_real > real ).

tff(func_def_2608,type,
    sK1191: ( fun_nat_real * real ) > nat ).

tff(func_def_2609,type,
    sK1192: ( fun_nat_real * nat ) > nat ).

tff(func_def_2610,type,
    sK1193: ( fun_nat_real * nat ) > nat ).

tff(func_def_2611,type,
    sK1194: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2612,type,
    sK1195: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2613,type,
    sK1196: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_2614,type,
    sK1197: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2615,type,
    sK1198: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2616,type,
    sK1199: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2617,type,
    sK1200: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2618,type,
    sK1201: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2619,type,
    sK1202: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2620,type,
    sK1205: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2621,type,
    sK1206: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2622,type,
    sK1207: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2623,type,
    sK1208: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2624,type,
    sK1209: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2625,type,
    sK1210: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2626,type,
    sK1211: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2627,type,
    sK1212: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2628,type,
    sK1213: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2629,type,
    sK1214: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2630,type,
    sK1215: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2631,type,
    sK1216: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2632,type,
    sK1217: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2633,type,
    sK1218: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2634,type,
    sK1219: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2635,type,
    sK1220: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2636,type,
    sK1221: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2637,type,
    sK1222: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2638,type,
    sK1223: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2639,type,
    sK1224: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2640,type,
    sK1225: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2641,type,
    sK1226: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2642,type,
    sK1227: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2643,type,
    sK1228: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2644,type,
    sK1229: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2645,type,
    sK1230: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2646,type,
    sK1231: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2647,type,
    sK1232: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2648,type,
    sK1233: ( nat * int * fun_int_bool ) > int ).

tff(func_def_2649,type,
    sK1234: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_2650,type,
    sK1235: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2651,type,
    sK1236: ( nat * int * fun_int_bool ) > int ).

tff(func_def_2652,type,
    sK1237: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_2653,type,
    sK1238: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2654,type,
    sK1239: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_2655,type,
    sK1240: ( fun_nat_complex * fun_nat_real * nat ) > nat ).

tff(func_def_2656,type,
    sK1241: ( fun_nat_real * nat * fun_nat_real ) > nat ).

tff(func_def_2657,type,
    sK1242: ( fun_nat_real * nat * fun_nat_complex ) > nat ).

tff(func_def_2658,type,
    sK1243: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2659,type,
    sK1244: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2660,type,
    sK1245: ( fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_2661,type,
    sK1246: fun_nat_complex > nat ).

tff(func_def_2662,type,
    sK1247: fun_nat_complex > nat ).

tff(func_def_2663,type,
    sK1248: ( fun_nat_complex * nat * fun_nat_real ) > nat ).

tff(func_def_2664,type,
    sK1249: fun_nat_complex > nat ).

tff(func_def_2665,type,
    sK1250: fun_nat_complex > nat ).

tff(func_def_2666,type,
    sK1251: ( fun_nat_complex * nat * fun_nat_complex ) > nat ).

tff(func_def_2667,type,
    sK1252: fun_nat_real > nat ).

tff(func_def_2668,type,
    sK1253: fun_nat_nat > nat ).

tff(func_def_2669,type,
    sK1254: fun_nat_int > nat ).

tff(func_def_2670,type,
    sK1255: fun_nat_real > nat ).

tff(func_def_2671,type,
    sK1256: fun_nat_real > nat ).

tff(func_def_2672,type,
    sK1257: fun_nat_nat > nat ).

tff(func_def_2673,type,
    sK1258: fun_nat_nat > nat ).

tff(func_def_2674,type,
    sK1259: fun_nat_int > nat ).

tff(func_def_2675,type,
    sK1260: fun_nat_int > nat ).

tff(func_def_2676,type,
    sK1261: fun_nat_real > nat ).

tff(func_def_2677,type,
    sK1262: fun_nat_nat > nat ).

tff(func_def_2678,type,
    sK1263: fun_nat_int > nat ).

tff(func_def_2679,type,
    sK1264: ( list_real * real ) > real ).

tff(func_def_2680,type,
    sK1265: ( list_complex * complex ) > complex ).

tff(func_def_2681,type,
    sK1266: ( list_P6011104703257516679at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_2682,type,
    sK1267: ( list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2683,type,
    sK1268: ( list_bool * bool ) > bool ).

tff(func_def_2684,type,
    sK1269: ( list_nat * nat ) > nat ).

tff(func_def_2685,type,
    sK1270: ( list_int * int ) > int ).

tff(func_def_2686,type,
    sK1271: ( list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2687,type,
    sK1272: ( list_bool * bool ) > bool ).

tff(func_def_2688,type,
    sK1273: ( list_nat * nat ) > nat ).

tff(func_def_2689,type,
    sK1274: ( list_int * int ) > int ).

tff(func_def_2690,type,
    sK1275: ( fun_nat_complex * fun_nat_real * nat ) > nat ).

tff(func_def_2691,type,
    sK1276: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_2692,type,
    sK1277: fun_nat_real > nat ).

tff(func_def_2693,type,
    sK1278: fun_nat_nat > nat ).

tff(func_def_2694,type,
    sK1279: fun_nat_int > nat ).

tff(func_def_2695,type,
    sK1280: fun_nat_real > nat ).

tff(func_def_2696,type,
    sK1281: fun_nat_real > nat ).

tff(func_def_2697,type,
    sK1282: fun_nat_nat > nat ).

tff(func_def_2698,type,
    sK1283: fun_nat_nat > nat ).

tff(func_def_2699,type,
    sK1284: fun_nat_int > nat ).

tff(func_def_2700,type,
    sK1285: fun_nat_int > nat ).

tff(func_def_2701,type,
    sK1286: ( real * fun_nat_real ) > nat ).

tff(func_def_2702,type,
    sK1287: ( real * fun_nat_complex ) > nat ).

tff(func_def_2703,type,
    sK1288: fun_nat_real > nat ).

tff(func_def_2704,type,
    sK1289: fun_nat_real > nat ).

tff(func_def_2705,type,
    sK1290: ( real * fun_nat_complex * real ) > nat ).

tff(func_def_2706,type,
    sK1291: ( real * nat * fun_nat_real ) > nat ).

tff(func_def_2707,type,
    sK1292: ( real * nat * fun_nat_complex ) > nat ).

tff(func_def_2708,type,
    sK1293: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2709,type,
    sK1294: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2710,type,
    sK1295: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2711,type,
    sK1296: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2712,type,
    sK1297: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2713,type,
    sK1298: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2714,type,
    sK1299: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2715,type,
    sK1300: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2716,type,
    sK1301: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2717,type,
    sK1302: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2718,type,
    sK1303: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2719,type,
    sK1304: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2720,type,
    sK1305: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2721,type,
    sK1306: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2722,type,
    sK1307: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2723,type,
    sK1308: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2724,type,
    sK1312: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2725,type,
    sK1313: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2726,type,
    sK1314: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2727,type,
    sK1315: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2728,type,
    sK1316: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2729,type,
    sK1317: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2730,type,
    sK1318: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2731,type,
    sK1319: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2732,type,
    sK1320: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2733,type,
    sK1321: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2734,type,
    sK1322: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2735,type,
    sK1323: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2736,type,
    sK1324: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2737,type,
    sK1325: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2738,type,
    sK1326: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2739,type,
    sK1327: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2740,type,
    sK1330: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2741,type,
    sK1331: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2742,type,
    sK1332: ( fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_2743,type,
    sK1333: ( nat * fun_nat_complex ) > nat ).

tff(func_def_2744,type,
    sK1334: ( nat * fun_nat_real ) > nat ).

tff(func_def_2745,type,
    sK1335: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2746,type,
    sK1336: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2747,type,
    sK1337: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2748,type,
    sK1338: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2749,type,
    sK1339: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2750,type,
    sK1340: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2751,type,
    sK1341: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2752,type,
    sK1342: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2753,type,
    sK1343: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2754,type,
    sK1344: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2755,type,
    sK1345: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2756,type,
    sK1346: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2757,type,
    sK1348: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2758,type,
    sK1349: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2759,type,
    sK1350: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2760,type,
    sK1351: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2761,type,
    sK1352: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2762,type,
    sK1353: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2763,type,
    sK1354: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2764,type,
    sK1355: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2765,type,
    sK1356: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2766,type,
    sK1358: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2767,type,
    sK1359: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_2768,type,
    sK1360: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2769,type,
    sK1361: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2770,type,
    sK1362: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2771,type,
    sK1363: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2772,type,
    sK1364: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2773,type,
    sK1365: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2774,type,
    sK1366: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_2775,type,
    sK1367: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2776,type,
    sK1368: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2777,type,
    sK1369: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_2778,type,
    sK1370: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_2779,type,
    sK1371: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_2780,type,
    sK1372: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_2781,type,
    sK1374: fun_nat_complex > complex ).

tff(func_def_2782,type,
    sK1375: fun_nat_real > real ).

tff(func_def_2783,type,
    sK1376: ( real * fun_nat_real ) > real ).

tff(func_def_2784,type,
    sK1377: ( real * fun_nat_complex ) > complex ).

tff(func_def_2785,type,
    sK1378: fun_nat_real > nat ).

tff(func_def_2786,type,
    sK1379: fun_nat_real > nat ).

tff(func_def_2787,type,
    sK1380: fun_nat_real > nat ).

tff(func_def_2788,type,
    sK1381: fun_nat_real > nat ).

tff(func_def_2789,type,
    sK1382: fun_nat_set_int > nat ).

tff(func_def_2790,type,
    sK1383: fun_nat_set_int > nat ).

tff(func_def_2791,type,
    sK1384: fun_nat_set_int > nat ).

tff(func_def_2792,type,
    sK1385: fun_nat_set_int > nat ).

tff(func_def_2793,type,
    sK1386: fun_nat_rat > nat ).

tff(func_def_2794,type,
    sK1387: fun_nat_rat > nat ).

tff(func_def_2795,type,
    sK1388: fun_nat_rat > nat ).

tff(func_def_2796,type,
    sK1389: fun_nat_rat > nat ).

tff(func_def_2797,type,
    sK1390: fun_nat_num > nat ).

tff(func_def_2798,type,
    sK1391: fun_nat_num > nat ).

tff(func_def_2799,type,
    sK1392: fun_nat_num > nat ).

tff(func_def_2800,type,
    sK1393: fun_nat_num > nat ).

tff(func_def_2801,type,
    sK1394: fun_nat_nat > nat ).

tff(func_def_2802,type,
    sK1395: fun_nat_nat > nat ).

tff(func_def_2803,type,
    sK1396: fun_nat_nat > nat ).

tff(func_def_2804,type,
    sK1397: fun_nat_nat > nat ).

tff(func_def_2805,type,
    sK1398: fun_nat_int > nat ).

tff(func_def_2806,type,
    sK1399: fun_nat_int > nat ).

tff(func_def_2807,type,
    sK1400: fun_nat_int > nat ).

tff(func_def_2808,type,
    sK1401: fun_nat_int > nat ).

tff(func_def_2809,type,
    sK1402: fun_nat_real > nat ).

tff(func_def_2810,type,
    sK1403: fun_nat_real > nat ).

tff(func_def_2811,type,
    sK1404: fun_nat_set_int > nat ).

tff(func_def_2812,type,
    sK1405: fun_nat_set_int > nat ).

tff(func_def_2813,type,
    sK1406: fun_nat_rat > nat ).

tff(func_def_2814,type,
    sK1407: fun_nat_rat > nat ).

tff(func_def_2815,type,
    sK1408: fun_nat_num > nat ).

tff(func_def_2816,type,
    sK1409: fun_nat_num > nat ).

tff(func_def_2817,type,
    sK1410: fun_nat_nat > nat ).

tff(func_def_2818,type,
    sK1411: fun_nat_nat > nat ).

tff(func_def_2819,type,
    sK1412: fun_nat_int > nat ).

tff(func_def_2820,type,
    sK1413: fun_nat_int > nat ).

tff(func_def_2821,type,
    sK1414: fun_nat_real > nat ).

tff(func_def_2822,type,
    sK1415: fun_nat_real > nat ).

tff(func_def_2823,type,
    sK1416: fun_nat_set_int > nat ).

tff(func_def_2824,type,
    sK1417: fun_nat_set_int > nat ).

tff(func_def_2825,type,
    sK1418: fun_nat_rat > nat ).

tff(func_def_2826,type,
    sK1419: fun_nat_rat > nat ).

tff(func_def_2827,type,
    sK1420: fun_nat_num > nat ).

tff(func_def_2828,type,
    sK1421: fun_nat_num > nat ).

tff(func_def_2829,type,
    sK1422: fun_nat_nat > nat ).

tff(func_def_2830,type,
    sK1423: fun_nat_nat > nat ).

tff(func_def_2831,type,
    sK1424: fun_nat_int > nat ).

tff(func_def_2832,type,
    sK1425: fun_nat_int > nat ).

tff(func_def_2833,type,
    sK1426: fun_nat_real > nat ).

tff(func_def_2834,type,
    sK1427: fun_nat_set_int > nat ).

tff(func_def_2835,type,
    sK1428: fun_nat_rat > nat ).

tff(func_def_2836,type,
    sK1429: fun_nat_num > nat ).

tff(func_def_2837,type,
    sK1430: fun_nat_nat > nat ).

tff(func_def_2838,type,
    sK1431: fun_nat_int > nat ).

tff(func_def_2839,type,
    sK1432: fun_nat_real > nat ).

tff(func_def_2840,type,
    sK1433: fun_nat_set_int > nat ).

tff(func_def_2841,type,
    sK1434: fun_nat_rat > nat ).

tff(func_def_2842,type,
    sK1435: fun_nat_num > nat ).

tff(func_def_2843,type,
    sK1436: fun_nat_nat > nat ).

tff(func_def_2844,type,
    sK1437: fun_nat_int > nat ).

tff(func_def_2845,type,
    sK1438: fun_nat_real > nat ).

tff(func_def_2846,type,
    sK1439: fun_nat_real > nat ).

tff(func_def_2847,type,
    sK1440: fun_nat_set_int > nat ).

tff(func_def_2848,type,
    sK1441: fun_nat_set_int > nat ).

tff(func_def_2849,type,
    sK1442: fun_nat_rat > nat ).

tff(func_def_2850,type,
    sK1443: fun_nat_rat > nat ).

tff(func_def_2851,type,
    sK1444: fun_nat_num > nat ).

tff(func_def_2852,type,
    sK1445: fun_nat_num > nat ).

tff(func_def_2853,type,
    sK1446: fun_nat_nat > nat ).

tff(func_def_2854,type,
    sK1447: fun_nat_nat > nat ).

tff(func_def_2855,type,
    sK1448: fun_nat_int > nat ).

tff(func_def_2856,type,
    sK1449: fun_nat_int > nat ).

tff(func_def_2857,type,
    sK1450: ( set_real * fun_real_complex * fun_real_real ) > real ).

tff(func_def_2858,type,
    sK1451: ( set_int * fun_int_complex * fun_int_real ) > int ).

tff(func_def_2859,type,
    sK1452: ( set_Pr1261947904930325089at_nat * fun_Pr4050773816208733250omplex * fun_Pr672294278902479040t_real ) > product_prod_nat_nat ).

tff(func_def_2860,type,
    sK1453: ( set_nat * fun_nat_complex * fun_nat_real ) > nat ).

tff(func_def_2861,type,
    sK1454: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2862,type,
    sK1455: ( set_complex * fun_complex_complex * fun_complex_real ) > complex ).

tff(func_def_2863,type,
    sK1456: ( fun_nat_complex * nat * fun_nat_complex ) > complex ).

tff(func_def_2864,type,
    sK1457: ( fun_nat_complex * nat * fun_nat_complex ) > nat ).

tff(func_def_2865,type,
    sK1458: ( fun_nat_real * nat * fun_nat_real ) > real ).

tff(func_def_2866,type,
    sK1459: ( fun_nat_real * nat * fun_nat_real ) > nat ).

tff(func_def_2867,type,
    sK1460: fun_nat_int > nat ).

tff(func_def_2868,type,
    sK1461: ( fun_nat_int * int ) > nat ).

tff(func_def_2869,type,
    sK1462: fun_nat_nat > nat ).

tff(func_def_2870,type,
    sK1463: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2871,type,
    sK1464: fun_nat_real > nat ).

tff(func_def_2872,type,
    sK1465: ( fun_nat_real * real ) > nat ).

tff(func_def_2873,type,
    sK1466: ( fun_nat_complex * nat ) > complex ).

tff(func_def_2874,type,
    sK1467: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2875,type,
    sK1468: ( fun_nat_real * nat ) > real ).

tff(func_def_2876,type,
    sK1469: ( fun_nat_real * nat ) > nat ).

tff(func_def_2877,type,
    sK1470: ( fun_nat_complex * nat ) > complex ).

tff(func_def_2878,type,
    sK1471: ( fun_nat_real * nat ) > real ).

tff(func_def_2879,type,
    sK1472: ( nat * fun_nat_rat ) > nat ).

tff(func_def_2880,type,
    sK1473: ( nat * fun_nat_rat ) > nat ).

tff(func_def_2881,type,
    sK1474: ( nat * fun_nat_complex ) > nat ).

tff(func_def_2882,type,
    sK1475: ( nat * fun_nat_complex ) > nat ).

tff(func_def_2883,type,
    sK1476: ( nat * fun_nat_int ) > nat ).

tff(func_def_2884,type,
    sK1477: ( nat * fun_nat_int ) > nat ).

tff(func_def_2885,type,
    sK1478: ( nat * fun_nat_real ) > nat ).

tff(func_def_2886,type,
    sK1479: ( nat * fun_nat_real ) > nat ).

tff(func_def_2887,type,
    sK1480: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2888,type,
    sK1481: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2889,type,
    sK1482: ( real * fun_nat_complex * nat ) > real ).

tff(func_def_2890,type,
    sK1483: ( real * fun_nat_real * nat ) > real ).

tff(func_def_2891,type,
    sK1484: ( set_real * fun_re6978948838062957830nteger ) > real ).

tff(func_def_2892,type,
    sK1485: ( set_real * fun_re6978948838062957830nteger * code_integer * code_integer ) > real ).

tff(func_def_2893,type,
    sK1486: ( set_nat * fun_nat_Code_integer ) > nat ).

tff(func_def_2894,type,
    sK1487: ( set_nat * fun_nat_Code_integer * code_integer * code_integer ) > nat ).

tff(func_def_2895,type,
    sK1488: ( set_complex * fun_co8153928105989009288nteger ) > complex ).

tff(func_def_2896,type,
    sK1489: ( set_complex * fun_co8153928105989009288nteger * code_integer * code_integer ) > complex ).

tff(func_def_2897,type,
    sK1490: ( set_int * fun_int_Code_integer ) > int ).

tff(func_def_2898,type,
    sK1491: ( set_int * fun_int_Code_integer * code_integer * code_integer ) > int ).

tff(func_def_2899,type,
    sK1492: ( set_real * fun_real_real ) > real ).

tff(func_def_2900,type,
    sK1493: ( set_real * fun_real_real * real * real ) > real ).

tff(func_def_2901,type,
    sK1494: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_2902,type,
    sK1495: ( set_complex * fun_complex_real * real * real ) > complex ).

tff(func_def_2903,type,
    sK1496: ( set_int * fun_int_real ) > int ).

tff(func_def_2904,type,
    sK1497: ( set_int * fun_int_real * real * real ) > int ).

tff(func_def_2905,type,
    sK1498: ( set_real * fun_real_rat ) > real ).

tff(func_def_2906,type,
    sK1499: ( set_real * fun_real_rat * rat * rat ) > real ).

tff(func_def_2907,type,
    sK1500: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_2908,type,
    sK1501: ( set_nat * fun_nat_rat * rat * rat ) > nat ).

tff(func_def_2909,type,
    sK1502: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_2910,type,
    sK1503: ( set_complex * fun_complex_rat * rat * rat ) > complex ).

tff(func_def_2911,type,
    sK1504: ( nat * real ) > real ).

tff(func_def_2912,type,
    sK1505: ( fun_int_nat * fun_int_nat ) > int ).

tff(func_def_2913,type,
    sK1506: ( fun_real_nat * fun_real_nat ) > real ).

tff(func_def_2914,type,
    sK1507: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2915,type,
    sK1508: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_2916,type,
    sK1509: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_2917,type,
    sK1510: ( set_int * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_2918,type,
    sK1511: ( set_Pr1261947904930325089at_nat * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > product_prod_nat_nat ).

tff(func_def_2919,type,
    sK1512: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2920,type,
    sK1513: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_2921,type,
    sK1514: ( fun_nat_int * int ) > nat ).

tff(func_def_2922,type,
    sK1515: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2923,type,
    sK1516: ( fun_nat_real * real ) > nat ).

tff(func_def_2924,type,
    sK1517: fun_nat_int > nat ).

tff(func_def_2925,type,
    sK1518: ( fun_nat_int * int ) > nat ).

tff(func_def_2926,type,
    sK1519: fun_nat_nat > nat ).

tff(func_def_2927,type,
    sK1520: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2928,type,
    sK1521: fun_nat_real > nat ).

tff(func_def_2929,type,
    sK1522: ( fun_nat_real * real ) > nat ).

tff(func_def_2930,type,
    sK1523: ( fun_nat_int * nat ) > nat ).

tff(func_def_2931,type,
    sK1524: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2932,type,
    sK1525: ( fun_nat_real * nat ) > nat ).

tff(func_def_2933,type,
    sK1526: ( fun_nat_rat * rat * nat ) > fun_nat_rat ).

tff(func_def_2934,type,
    sK1527: ( fun_nat_complex * complex * nat ) > fun_nat_complex ).

tff(func_def_2935,type,
    sK1528: ( fun_nat_int * int * nat ) > fun_nat_int ).

tff(func_def_2936,type,
    sK1529: ( fun_nat_real * real * nat ) > fun_nat_real ).

tff(func_def_2937,type,
    sK1530: ( fun_nat_rat * nat * rat ) > fun_nat_rat ).

tff(func_def_2938,type,
    sK1531: ( fun_nat_complex * nat * complex ) > fun_nat_complex ).

tff(func_def_2939,type,
    sK1532: ( fun_nat_int * nat * int ) > fun_nat_int ).

tff(func_def_2940,type,
    sK1533: ( fun_nat_real * nat * real ) > fun_nat_real ).

tff(func_def_2941,type,
    sK1534: ( nat * fun_nat_rat * rat ) > nat ).

tff(func_def_2942,type,
    sK1535: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2943,type,
    sK1536: ( nat * fun_nat_nat * nat ) > nat ).

tff(func_def_2944,type,
    sK1537: ( nat * fun_nat_real * real ) > nat ).

tff(func_def_2945,type,
    sK1538: ( fun_nat_int * nat ) > nat ).

tff(func_def_2946,type,
    sK1539: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2947,type,
    sK1540: ( fun_nat_real * nat ) > nat ).

tff(func_def_2948,type,
    sK1541: ( real * fun_real_real * fun_nat_real * nat ) > real ).

tff(func_def_2949,type,
    sK1542: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_2950,type,
    sK1543: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_2951,type,
    sK1544: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_2952,type,
    sK1545: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_2953,type,
    sK1546: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_2954,type,
    sK1547: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_2955,type,
    sK1548: ( set_int * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_2956,type,
    sK1549: ( set_real * fun_real_int * fun_real_int ) > real ).

tff(func_def_2957,type,
    sK1550: ( set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_2958,type,
    sK1551: ( set_complex * fun_complex_int * fun_complex_int ) > complex ).

tff(func_def_2959,type,
    sK1552: ( real * nat ) > real ).

tff(func_def_2960,type,
    sK1553: ( fun_nat_real * nat ) > nat ).

tff(func_def_2961,type,
    sK1554: ( set_real * fun_real_real ) > real ).

tff(func_def_2962,type,
    sK1555: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_2963,type,
    sK1556: ( set_int * fun_int_real ) > int ).

tff(func_def_2964,type,
    sK1557: ( set_real * fun_real_rat ) > real ).

tff(func_def_2965,type,
    sK1558: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_2966,type,
    sK1559: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_2967,type,
    sK1560: ( set_int * fun_int_rat ) > int ).

tff(func_def_2968,type,
    sK1561: ( set_real * fun_real_nat ) > real ).

tff(func_def_2969,type,
    sK1562: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_2970,type,
    sK1563: ( set_int * fun_int_nat ) > int ).

tff(func_def_2971,type,
    sK1564: ( set_real * fun_real_real ) > real ).

tff(func_def_2972,type,
    sK1565: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_2973,type,
    sK1566: ( set_int * fun_int_real ) > int ).

tff(func_def_2974,type,
    sK1567: ( set_real * fun_real_rat ) > real ).

tff(func_def_2975,type,
    sK1568: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_2976,type,
    sK1569: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_2977,type,
    sK1570: ( set_int * fun_int_rat ) > int ).

tff(func_def_2978,type,
    sK1571: ( set_real * fun_real_nat ) > real ).

tff(func_def_2979,type,
    sK1572: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_2980,type,
    sK1573: ( set_int * fun_int_nat ) > int ).

tff(func_def_2981,type,
    sK1574: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2982,type,
    sK1575: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2983,type,
    sK1576: ( real * nat ) > real ).

tff(func_def_2984,type,
    sK1577: ( real * nat ) > real ).

tff(func_def_2985,type,
    sK1578: ( real * nat ) > real ).

tff(func_def_2986,type,
    sK1579: ( real * nat ) > real ).

tff(func_def_2987,type,
    sK1580: ( real * nat ) > real ).

tff(func_def_2988,type,
    sK1581: ( nat * real ) > real ).

tff(func_def_2989,type,
    sK1582: ( real * nat ) > real ).

tff(func_def_2990,type,
    sK1583: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2991,type,
    sK1584: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2992,type,
    sK1585: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2993,type,
    sK1586: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2994,type,
    sK1587: ( fun_nat_complex * real ) > nat ).

tff(func_def_2995,type,
    sK1588: ( fun_nat_real * real ) > nat ).

tff(func_def_2996,type,
    sK1589: ( fun_nat_complex * nat * complex ) > complex ).

tff(func_def_2997,type,
    sK1590: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2998,type,
    sK1591: ( fun_nat_real * nat * real ) > real ).

tff(func_def_2999,type,
    sK1592: ( fun_nat_real * nat ) > nat ).

tff(func_def_3000,type,
    sK1594: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3001,type,
    sK1595: ( fun_real_complex * set_real ) > real ).

tff(func_def_3002,type,
    sK1596: ( fun_nat_complex * set_nat ) > nat ).

tff(func_def_3003,type,
    sK1597: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_3004,type,
    sK1598: ( fun_int_complex * set_int ) > int ).

tff(func_def_3005,type,
    sK1599: ( fun_real_real * set_real ) > real ).

tff(func_def_3006,type,
    sK1600: ( fun_nat_real * set_nat ) > nat ).

tff(func_def_3007,type,
    sK1601: ( fun_complex_real * set_complex ) > complex ).

tff(func_def_3008,type,
    sK1602: ( fun_int_real * set_int ) > int ).

tff(func_def_3009,type,
    sK1603: ( fun_real_rat * set_real ) > real ).

tff(func_def_3010,type,
    sK1604: ( fun_nat_rat * set_nat ) > nat ).

tff(func_def_3011,type,
    sK1605: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3012,type,
    sK1606: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_3013,type,
    sK1607: ( set_int * fun_int_int ) > int ).

tff(func_def_3014,type,
    sK1608: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3015,type,
    sK1609: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_3016,type,
    sK1610: ( set_int * fun_int_int ) > int ).

tff(func_def_3017,type,
    sK1611: ( set_int * fun_int_int * fun_int_int ) > int ).

tff(func_def_3018,type,
    sK1612: ( int * fun_int_bool ) > int ).

tff(func_def_3019,type,
    sK1613: ( int * fun_int_bool ) > int ).

tff(func_def_3020,type,
    sK1614: fun_int_bool > int ).

tff(func_def_3021,type,
    sK1615: ( int * fun_int_bool ) > int ).

tff(func_def_3022,type,
    sK1616: ( int * set_int * int ) > int ).

tff(func_def_3023,type,
    sK1617: ( int * set_int * int ) > int ).

tff(func_def_3024,type,
    sK1618: ( int * set_int * int ) > int ).

tff(func_def_3025,type,
    sK1619: ( int * set_int * int ) > int ).

tff(func_def_3026,type,
    sK1620: ( int * set_int * int ) > int ).

tff(func_def_3027,type,
    sK1621: ( int * set_int * int ) > int ).

tff(func_def_3028,type,
    sK1622: ( int * set_int * int ) > int ).

tff(func_def_3029,type,
    sK1623: ( int * set_int * int ) > int ).

tff(func_def_3030,type,
    sK1624: ( int * set_int * int ) > int ).

tff(func_def_3031,type,
    sK1625: ( int * set_int * int ) > int ).

tff(func_def_3032,type,
    sK1626: ( int * set_int * int ) > int ).

tff(func_def_3033,type,
    sK1627: ( int * set_int * int ) > int ).

tff(func_def_3034,type,
    sK1628: ( int * set_int * int ) > int ).

tff(func_def_3035,type,
    sK1629: ( int * set_int * int ) > int ).

tff(func_def_3036,type,
    sK1630: ( int * set_int * int ) > int ).

tff(func_def_3037,type,
    sK1631: ( int * set_int * int ) > int ).

tff(func_def_3038,type,
    sK1632: ( int * set_int * int ) > int ).

tff(func_def_3039,type,
    sK1633: ( int * set_int * int ) > int ).

tff(func_def_3040,type,
    sK1634: ( int * set_int * int ) > int ).

tff(func_def_3041,type,
    sK1635: ( int * set_int * int ) > int ).

tff(func_def_3042,type,
    sK1636: ( int * set_int * int ) > int ).

tff(func_def_3043,type,
    sK1637: ( int * set_int * int ) > int ).

tff(func_def_3044,type,
    sK1638: ( int * set_int * int ) > int ).

tff(func_def_3045,type,
    sK1639: ( int * set_int * int ) > int ).

tff(func_def_3046,type,
    sK1640: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3047,type,
    sK1641: ( int * fun_int_bool ) > int ).

tff(func_def_3048,type,
    sK1642: ( int * fun_int_bool ) > int ).

tff(func_def_3049,type,
    sK1643: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_3050,type,
    sK1647: fun_int_bool > int ).

tff(func_def_3051,type,
    sK1648: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3052,type,
    sK1649: ( int * fun_int_bool ) > int ).

tff(func_def_3053,type,
    sK1650: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3054,type,
    sK1651: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3055,type,
    sK1652: ( int * fun_int_bool ) > int ).

tff(func_def_3056,type,
    sK1653: ( int * fun_int_bool ) > int ).

tff(func_def_3057,type,
    sK1654: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_3058,type,
    sK1658: fun_int_bool > int ).

tff(func_def_3059,type,
    sK1659: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3060,type,
    sK1660: ( int * fun_int_bool ) > int ).

tff(func_def_3061,type,
    sK1661: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_3062,type,
    sK1662: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3063,type,
    sK1663: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3064,type,
    sK1664: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3065,type,
    sK1665: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3066,type,
    sK1666: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3067,type,
    sK1667: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3068,type,
    sK1668: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3069,type,
    sK1669: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3070,type,
    sK1670: fun_int_fun_int_bool > int ).

tff(func_def_3071,type,
    sK1671: fun_int_fun_int_bool > int ).

tff(func_def_3072,type,
    sK1678: ( num * num ) > num ).

tff(func_def_3073,type,
    sK1679: ( num * num ) > num ).

tff(func_def_3074,type,
    sK1680: ( num * num * num ) > num ).

tff(func_def_3075,type,
    sK1681: ( num * num * num ) > num ).

tff(func_def_3076,type,
    sK1682: ( num * num * num ) > num ).

tff(func_def_3077,type,
    sK1683: ( num * num * num ) > num ).

tff(func_def_3078,type,
    sK1685: num > num ).

tff(func_def_3079,type,
    sK1686: num > num ).

tff(func_def_3080,type,
    sK1687: ( num * num * num ) > num ).

tff(func_def_3081,type,
    sK1688: ( num * num * num ) > num ).

tff(func_def_3082,type,
    sK1689: ( num * num * num ) > num ).

tff(func_def_3083,type,
    sK1690: ( num * num * num ) > num ).

tff(func_def_3084,type,
    sK1697: ( num * num ) > num ).

tff(func_def_3085,type,
    sK1698: ( num * num ) > num ).

tff(func_def_3086,type,
    sK1699: ( num * num * num ) > num ).

tff(func_def_3087,type,
    sK1700: ( num * num * num ) > num ).

tff(func_def_3088,type,
    sK1701: ( num * num * num ) > num ).

tff(func_def_3089,type,
    sK1702: ( num * num * num ) > num ).

tff(func_def_3090,type,
    sK1703: ( num * num * num ) > num ).

tff(func_def_3091,type,
    sK1704: ( num * num * num ) > num ).

tff(func_def_3092,type,
    sK1706: ( num * num * num ) > num ).

tff(func_def_3093,type,
    sK1707: ( num * num * num ) > num ).

tff(func_def_3094,type,
    sK1708: ( num * num * num ) > num ).

tff(func_def_3095,type,
    sK1709: ( num * num * num ) > num ).

tff(func_def_3096,type,
    sK1710: rat > rat ).

tff(func_def_3097,type,
    sK1711: rat > rat ).

tff(func_def_3098,type,
    sK1712: set_nat > nat ).

tff(func_def_3099,type,
    sK1713: ( set_nat * nat ) > nat ).

tff(func_def_3100,type,
    sK1714: fun_nat_nat > nat ).

tff(func_def_3101,type,
    sK1715: ( set_nat * nat ) > nat ).

tff(func_def_3102,type,
    sK1716: set_nat > nat ).

tff(func_def_3103,type,
    sK1717: ( set_nat * nat ) > nat ).

tff(func_def_3104,type,
    sK1718: set_nat > nat ).

tff(func_def_3105,type,
    sK1719: set_nat > nat ).

tff(func_def_3106,type,
    sK1720: set_nat > nat ).

tff(func_def_3107,type,
    sK1721: set_int > int ).

tff(func_def_3108,type,
    sK1722: ( set_int * int ) > int ).

tff(func_def_3109,type,
    sK1723: set_int > int ).

tff(func_def_3110,type,
    sK1724: ( set_int * int ) > int ).

tff(func_def_3111,type,
    sK1725: ( nat * set_nat ) > nat ).

tff(func_def_3112,type,
    sK1726: set_nat > nat ).

tff(func_def_3113,type,
    sK1727: ( set_nat * nat ) > nat ).

tff(func_def_3114,type,
    sK1728: set_nat > nat ).

tff(func_def_3115,type,
    sK1729: ( set_nat * nat ) > nat ).

tff(func_def_3116,type,
    sK1730: ( fun_real_bool * nat * real ) > real ).

tff(func_def_3117,type,
    sK1731: fun_int_fun_int_bool > int ).

tff(func_def_3118,type,
    sK1732: fun_int_fun_int_bool > int ).

tff(func_def_3119,type,
    sK1734: ( int * int * int ) > int ).

tff(func_def_3120,type,
    sK1735: ( nat * nat ) > nat ).

tff(func_def_3121,type,
    sK1736: ( nat * nat ) > nat ).

tff(func_def_3122,type,
    sK1737: ( nat * nat ) > nat ).

tff(func_def_3123,type,
    sK1738: ( nat * nat ) > nat ).

tff(func_def_3124,type,
    sK1739: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3125,type,
    sK1740: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3126,type,
    sK1741: set_nat > fun_nat_nat ).

tff(func_def_3127,type,
    sK1742: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3128,type,
    sK1743: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3129,type,
    sK1744: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3130,type,
    sK1745: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3131,type,
    sK1746: vEBT_VEBT > bool ).

tff(func_def_3132,type,
    sK1747: vEBT_VEBT > bool ).

tff(func_def_3133,type,
    sK1748: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3134,type,
    sK1749: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3135,type,
    sK1750: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3136,type,
    sK1751: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3137,type,
    sK1752: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3138,type,
    sK1753: vEBT_VEBT > bool ).

tff(func_def_3139,type,
    sK1754: vEBT_VEBT > bool ).

tff(func_def_3140,type,
    sK1755: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_3141,type,
    sK1756: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3142,type,
    sK1757: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3143,type,
    sK1758: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3144,type,
    sK1759: vEBT_VEBT > bool ).

tff(func_def_3145,type,
    sK1760: vEBT_VEBT > bool ).

tff(func_def_3146,type,
    sK1761: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3147,type,
    sK1762: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3148,type,
    sK1763: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_3149,type,
    sK1764: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_3150,type,
    sK1765: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_3151,type,
    sK1766: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3152,type,
    sK1767: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3153,type,
    sK1768: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3154,type,
    sK1769: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3155,type,
    sK1770: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3156,type,
    sK1771: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3157,type,
    sK1772: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3158,type,
    sK1773: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3159,type,
    sK1774: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3160,type,
    sK1775: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3161,type,
    sK1776: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3162,type,
    sK1777: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3163,type,
    sK1778: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3164,type,
    sK1779: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3165,type,
    sK1780: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3166,type,
    sK1781: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3167,type,
    sK1782: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3168,type,
    sK1783: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3169,type,
    sK1784: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3170,type,
    sK1785: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3171,type,
    sK1793: num > num ).

tff(func_def_3172,type,
    sK1794: ( num * num * option_num ) > num ).

tff(func_def_3173,type,
    sK1795: ( num * num * option_num ) > num ).

tff(func_def_3174,type,
    sK1796: ( num * num * option_num ) > num ).

tff(func_def_3175,type,
    sK1797: ( num * num * option_num ) > num ).

tff(func_def_3176,type,
    sK1798: ( num * num * option_num ) > num ).

tff(func_def_3177,type,
    sK1799: ( num * num * option_num ) > num ).

tff(func_def_3178,type,
    sK1800: num > num ).

tff(func_def_3179,type,
    sK1801: ( num * num * option_num ) > num ).

tff(func_def_3180,type,
    sK1802: ( num * num * option_num ) > num ).

tff(func_def_3181,type,
    sK1803: ( num * num * option_num ) > num ).

tff(func_def_3182,type,
    sK1804: ( num * num * option_num ) > num ).

tff(func_def_3183,type,
    sK1811: ( num * option_num ) > num ).

tff(func_def_3184,type,
    sK1812: ( num * option_num ) > num ).

tff(func_def_3185,type,
    sK1813: ( num * num * option_num ) > num ).

tff(func_def_3186,type,
    sK1814: ( num * num * option_num ) > num ).

tff(func_def_3187,type,
    sK1815: ( num * num * option_num ) > num ).

tff(func_def_3188,type,
    sK1816: ( num * num * option_num ) > num ).

tff(func_def_3189,type,
    sK1817: ( num * num * option_num ) > num ).

tff(func_def_3190,type,
    sK1818: ( num * num * option_num ) > num ).

tff(func_def_3191,type,
    sK1820: ( num * num * option_num ) > num ).

tff(func_def_3192,type,
    sK1821: ( num * num * option_num ) > num ).

tff(func_def_3193,type,
    sK1822: ( num * num * option_num ) > num ).

tff(func_def_3194,type,
    sK1823: ( num * num * option_num ) > num ).

tff(func_def_3195,type,
    sK1831: num > num ).

tff(func_def_3196,type,
    sK1832: ( num * num * option_num ) > num ).

tff(func_def_3197,type,
    sK1833: ( num * num * option_num ) > num ).

tff(func_def_3198,type,
    sK1834: ( num * num * option_num ) > num ).

tff(func_def_3199,type,
    sK1835: ( num * num * option_num ) > num ).

tff(func_def_3200,type,
    sK1836: num > num ).

tff(func_def_3201,type,
    sK1837: num > num ).

tff(func_def_3202,type,
    sK1838: num > num ).

tff(func_def_3203,type,
    sK1839: ( num * num * option_num ) > num ).

tff(func_def_3204,type,
    sK1840: ( num * num * option_num ) > num ).

tff(func_def_3205,type,
    sK1841: ( num * num * option_num ) > num ).

tff(func_def_3206,type,
    sK1842: ( num * num * option_num ) > num ).

tff(func_def_3207,type,
    sK1849: ( num * option_num ) > num ).

tff(func_def_3208,type,
    sK1850: ( num * option_num ) > num ).

tff(func_def_3209,type,
    sK1851: ( num * num * option_num ) > num ).

tff(func_def_3210,type,
    sK1852: ( num * num * option_num ) > num ).

tff(func_def_3211,type,
    sK1853: ( num * num * option_num ) > num ).

tff(func_def_3212,type,
    sK1854: ( num * num * option_num ) > num ).

tff(func_def_3213,type,
    sK1855: ( num * num * option_num ) > num ).

tff(func_def_3214,type,
    sK1856: ( num * num * option_num ) > num ).

tff(func_def_3215,type,
    sK1858: ( num * num * option_num ) > num ).

tff(func_def_3216,type,
    sK1859: ( num * num * option_num ) > num ).

tff(func_def_3217,type,
    sK1860: ( num * num * option_num ) > num ).

tff(func_def_3218,type,
    sK1861: ( num * num * option_num ) > num ).

tff(func_def_3219,type,
    sK1868: ( num * option_num ) > num ).

tff(func_def_3220,type,
    sK1869: ( num * option_num ) > num ).

tff(func_def_3221,type,
    sK1870: ( num * num * option_num ) > num ).

tff(func_def_3222,type,
    sK1871: ( num * num * option_num ) > num ).

tff(func_def_3223,type,
    sK1872: ( num * num * option_num ) > num ).

tff(func_def_3224,type,
    sK1873: ( num * num * option_num ) > num ).

tff(func_def_3225,type,
    sK1874: ( num * num * option_num ) > num ).

tff(func_def_3226,type,
    sK1875: ( num * num * option_num ) > num ).

tff(func_def_3227,type,
    sK1877: ( num * num * option_num ) > num ).

tff(func_def_3228,type,
    sK1878: ( num * num * option_num ) > num ).

tff(func_def_3229,type,
    sK1879: ( num * num * option_num ) > num ).

tff(func_def_3230,type,
    sK1880: ( num * num * option_num ) > num ).

tff(func_def_3231,type,
    sK1887: ( num * option_num ) > num ).

tff(func_def_3232,type,
    sK1888: ( num * option_num ) > num ).

tff(func_def_3233,type,
    sK1889: ( num * num * option_num ) > num ).

tff(func_def_3234,type,
    sK1890: ( num * num * option_num ) > num ).

tff(func_def_3235,type,
    sK1891: ( num * num * option_num ) > num ).

tff(func_def_3236,type,
    sK1892: ( num * num * option_num ) > num ).

tff(func_def_3237,type,
    sK1893: ( num * num * option_num ) > num ).

tff(func_def_3238,type,
    sK1894: ( num * num * option_num ) > num ).

tff(func_def_3239,type,
    sK1896: ( num * num * option_num ) > num ).

tff(func_def_3240,type,
    sK1897: ( num * num * option_num ) > num ).

tff(func_def_3241,type,
    sK1898: ( num * num * option_num ) > num ).

tff(func_def_3242,type,
    sK1899: ( num * num * option_num ) > num ).

tff(func_def_3243,type,
    sK1900: ( real * real ) > real ).

tff(func_def_3244,type,
    sK1901: real > real ).

tff(func_def_3245,type,
    sK1902: real > real ).

tff(func_def_3246,type,
    sK1903: set_int > int ).

tff(func_def_3247,type,
    sK1904: set_int > int ).

tff(func_def_3248,type,
    sK1905: fun_nat_real > nat ).

tff(func_def_3249,type,
    sK1906: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3250,type,
    sK1907: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3251,type,
    sK1908: ( real * real * fun_real_real ) > real ).

tff(func_def_3252,type,
    sK1909: ( real * real * fun_real_real ) > real ).

tff(func_def_3253,type,
    sK1910: ( real * real * fun_real_real ) > real ).

tff(func_def_3254,type,
    sK1911: ( real * real * fun_real_real ) > real ).

tff(func_def_3255,type,
    sK1912: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3256,type,
    sK1913: ( real * real * fun_real_real ) > real ).

tff(func_def_3257,type,
    sK1914: ( real * real * fun_real_real ) > real ).

tff(func_def_3258,type,
    sK1915: ( fun_real_real * real * real ) > real ).

tff(func_def_3259,type,
    sK1916: ( fun_real_real * real ) > real ).

tff(func_def_3260,type,
    sK1917: ( fun_real_real * real ) > real ).

tff(func_def_3261,type,
    sK1918: ( fun_real_real * real ) > real ).

tff(func_def_3262,type,
    sK1919: ( fun_real_real * real ) > real ).

tff(func_def_3263,type,
    sK1920: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3264,type,
    sK1921: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3265,type,
    sK1922: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3266,type,
    sK1923: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3267,type,
    sK1924: ( fun_real_real * real ) > real ).

tff(func_def_3268,type,
    sK1925: ( fun_real_real * real * real ) > real ).

tff(func_def_3269,type,
    sK1926: ( fun_real_real * real * real ) > real ).

tff(func_def_3270,type,
    sK1927: ( fun_re4238438383274954274t_real * fun_re4238438383274954274t_real * real ) > nat ).

tff(func_def_3271,type,
    sK1928: ( fun_re4238438383274954274t_real * real * real ) > real ).

tff(func_def_3272,type,
    sK1929: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > nat ).

tff(func_def_3273,type,
    sK1930: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_3274,type,
    sK1931: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_3275,type,
    sK1932: ( real * fun_nat_real ) > real ).

tff(func_def_3276,type,
    sK1933: fun_na6724076748692969250l_real > nat ).

tff(func_def_3277,type,
    sK1934: fun_na6724076748692969250l_real > real ).

tff(func_def_3278,type,
    sK1935: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_3279,type,
    sK1936: fun_na6724076748692969250l_real > nat ).

tff(func_def_3280,type,
    sK1937: fun_na6724076748692969250l_real > real ).

tff(func_def_3281,type,
    sK1938: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_3282,type,
    sK1939: ( real * nat * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_3283,type,
    sK1940: ( real * nat * fun_na6724076748692969250l_real ) > real ).

tff(func_def_3284,type,
    sK1941: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_3285,type,
    sK1942: ( real * fun_na6724076748692969250l_real * nat ) > nat ).

tff(func_def_3286,type,
    sK1943: ( real * fun_na6724076748692969250l_real * nat ) > real ).

tff(func_def_3287,type,
    sK1944: ( real * fun_na6724076748692969250l_real * fun_real_real * nat ) > real ).

tff(func_def_3288,type,
    sK1945: ( real * nat * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_3289,type,
    sK1946: ( real * nat * fun_na6724076748692969250l_real ) > real ).

tff(func_def_3290,type,
    sK1947: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_3291,type,
    sK1948: fun_na6724076748692969250l_real > nat ).

tff(func_def_3292,type,
    sK1949: fun_na6724076748692969250l_real > real ).

tff(func_def_3293,type,
    sK1950: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_3294,type,
    sK1951: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_3295,type,
    sK1952: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_3296,type,
    sK1953: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_3297,type,
    sK1954: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_3298,type,
    sK1955: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_3299,type,
    sK1956: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_3300,type,
    sK1957: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_3301,type,
    sK1958: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_3302,type,
    sK1959: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_3303,type,
    sK1960: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_3304,type,
    sK1961: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_3305,type,
    sK1962: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_3306,type,
    sK1963: ( nat * real * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_3307,type,
    sK1964: ( nat * real * fun_na6724076748692969250l_real ) > real ).

tff(func_def_3308,type,
    sK1966: ( fun_real_real * real ) > real ).

tff(func_def_3309,type,
    sK1967: ( fun_real_real * real ) > real ).

tff(func_def_3310,type,
    sK1968: ( fun_real_real * real ) > real ).

tff(func_def_3311,type,
    sK1969: ( fun_nat_real * real ) > nat ).

tff(func_def_3312,type,
    sK1970: fun_nat_real > real ).

tff(func_def_3313,type,
    sK1971: fun_nat_real > nat ).

tff(func_def_3314,type,
    sK1972: fun_nat_real > nat ).

tff(func_def_3315,type,
    sK1973: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3316,type,
    sK1974: ( fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3317,type,
    sK1975: fun_nat_real > real ).

tff(func_def_3318,type,
    sK1976: ( fun_nat_real * nat ) > nat ).

tff(func_def_3319,type,
    sK1977: fun_nat_real > nat ).

tff(func_def_3320,type,
    sK1978: ( fun_nat_real * real ) > nat ).

tff(func_def_3321,type,
    sK1979: ( fun_nat_real * real ) > real ).

tff(func_def_3322,type,
    sK1980: fun_nat_real > nat ).

tff(func_def_3323,type,
    sK1981: fun_nat_real > nat ).

tff(func_def_3324,type,
    sK1982: ( fun_nat_real * real ) > fun_nat_int ).

tff(func_def_3325,type,
    sK1983: fun_nat_real > fun_nat_int ).

tff(func_def_3326,type,
    sK1984: fun_nat_real > nat ).

tff(func_def_3327,type,
    sK1985: fun_nat_real > nat ).

tff(func_def_3328,type,
    sK1986: fun_nat_real > nat ).

tff(func_def_3329,type,
    sK1987: fun_nat_real > nat ).

tff(func_def_3330,type,
    sK1988: fun_nat_real > nat ).

tff(func_def_3331,type,
    sK1989: fun_nat_real > nat ).

tff(func_def_3332,type,
    sK1990: fun_nat_real > real ).

tff(func_def_3333,type,
    sK1991: fun_nat_real > nat ).

tff(func_def_3334,type,
    sK1992: fun_nat_real > nat ).

tff(func_def_3335,type,
    sK1993: fun_nat_real > nat ).

tff(func_def_3336,type,
    sK1994: fun_nat_real > nat ).

tff(func_def_3337,type,
    sK1995: filter_nat > nat ).

tff(func_def_3338,type,
    sK1996: fun_nat_bool > nat ).

tff(func_def_3339,type,
    sK1997: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3340,type,
    sK1998: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3341,type,
    sK1999: ( real * fun_real_real ) > real ).

tff(func_def_3342,type,
    sK2000: ( real * fun_real_real ) > real ).

tff(func_def_3343,type,
    sK2001: ( real * real * fun_real_real ) > real ).

tff(func_def_3344,type,
    sK2002: ( real * real * fun_real_real ) > real ).

tff(func_def_3345,type,
    sK2003: ( real * real * fun_real_real ) > real ).

tff(func_def_3346,type,
    sK2004: ( real * real * fun_real_real * real ) > real ).

tff(func_def_3347,type,
    sK2005: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3348,type,
    sK2006: ( real * real * fun_real_real ) > real ).

tff(func_def_3349,type,
    sK2007: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3350,type,
    sK2008: ( real * real * fun_real_real ) > real ).

tff(func_def_3351,type,
    sK2009: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3352,type,
    sK2010: ( real * real * fun_real_real ) > real ).

tff(func_def_3353,type,
    sK2011: ( real * real * fun_real_real ) > real ).

tff(func_def_3354,type,
    sK2012: ( real * real * fun_real_real ) > real ).

tff(func_def_3355,type,
    sK2013: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3356,type,
    sK2014: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3357,type,
    sK2015: ( real * real * fun_real_real * fun_real_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3358,type,
    sK2019: ( real * real * fun_real_real ) > real ).

tff(func_def_3359,type,
    sK2020: ( real * real ) > real ).

tff(func_def_3360,type,
    sK2021: ( real * real * fun_real_real ) > real ).

tff(func_def_3361,type,
    sK2022: ( real * real ) > real ).

tff(func_def_3362,type,
    sK2023: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3363,type,
    sK2024: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3364,type,
    sK2025: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3365,type,
    sK2028: ( real * real ) > real ).

tff(func_def_3366,type,
    sK2029: ( real * real * fun_real_real ) > real ).

tff(func_def_3367,type,
    sK2030: ( real * real * fun_real_real ) > real ).

tff(func_def_3368,type,
    sK2031: ( set_real * fun_real_real ) > real ).

tff(func_def_3369,type,
    sK2032: ( real * real * fun_real_real ) > real ).

tff(func_def_3370,type,
    sK2033: ( real * real * fun_real_real ) > real ).

tff(func_def_3371,type,
    sK2034: ( set_real * fun_real_real ) > real ).

tff(func_def_3372,type,
    sK2035: ( real * real ) > real ).

tff(func_def_3373,type,
    sK2036: ( real * real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_3374,type,
    sK2037: ( real * real ) > real ).

tff(func_def_3375,type,
    sK2038: ( real * real * fun_real_real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_3376,type,
    sK2039: ( real * real * fun_real_real ) > real ).

tff(func_def_3377,type,
    sK2040: ( real * real * fun_real_real ) > real ).

tff(func_def_3378,type,
    sK2041: ( real * real * fun_real_real ) > real ).

tff(func_def_3379,type,
    sK2042: ( real * real * fun_real_real ) > real ).

tff(func_def_3380,type,
    sK2043: ( real * real ) > real ).

tff(func_def_3381,type,
    sK2044: ( real * real * fun_real_real ) > real ).

tff(func_def_3382,type,
    sK2045: ( set_nat * nat ) > nat ).

tff(func_def_3383,type,
    sK2046: fun_nat_real > nat ).

tff(func_def_3384,type,
    sK2047: ( fun_nat_real * fun_nat_nat ) > nat ).

tff(func_def_3385,type,
    sK2048: fun_nat_real > nat ).

tff(func_def_3386,type,
    sK2049: fun_nat_real > nat ).

tff(func_def_3387,type,
    sK2050: fun_rat_bool > int ).

tff(func_def_3388,type,
    sK2051: fun_rat_bool > int ).

tff(func_def_3389,type,
    sK2052: ( list_nat * nat ) > nat ).

tff(func_def_3390,type,
    sK2053: ( list_nat * nat ) > list_nat ).

tff(func_def_3391,type,
    sK2054: ( list_nat * nat ) > nat ).

tff(func_def_3392,type,
    sK2055: ( list_nat * nat ) > list_nat ).

tff(func_def_3393,type,
    sK2056: ( real * real ) > rat ).

tff(func_def_3394,type,
    sK2057: real > int ).

tff(func_def_3395,type,
    sK2058: real > nat ).

tff(func_def_3396,type,
    sK2059: real > int ).

tff(func_def_3397,type,
    sK2060: real > int ).

tff(func_def_3398,type,
    sK2061: ( set_int * int ) > int ).

tff(func_def_3399,type,
    sK2062: ( list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3400,type,
    sK2063: ( list_complex * complex ) > nat ).

tff(func_def_3401,type,
    sK2064: ( list_real * real ) > nat ).

tff(func_def_3402,type,
    sK2065: ( list_list_nat * list_nat ) > nat ).

tff(func_def_3403,type,
    sK2066: ( list_bool * bool ) > nat ).

tff(func_def_3404,type,
    sK2067: ( list_nat * nat ) > nat ).

tff(func_def_3405,type,
    sK2068: ( list_int * int ) > nat ).

tff(func_def_3406,type,
    sK2069: ( nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3407,type,
    sK2070: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3408,type,
    sK2071: ( nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3409,type,
    sK2073: list_VEBT_VEBT > nat ).

tff(func_def_3410,type,
    sK2075: ( list_VEBT_VEBT * nat ) > nat ).

tff(pred_def_1,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_2,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_3,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_4,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_5,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_6,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_7,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_8,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_9,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_10,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_11,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_12,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_13,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_14,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_15,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_16,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_17,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat * set_nat ) > $o ).

tff(pred_def_18,type,
    inj_on_nat_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_19,type,
    inj_on_nat_char: ( fun_nat_char * set_nat ) > $o ).

tff(pred_def_20,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_21,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_22,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_23,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_24,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_25,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_26,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_27,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_28,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_29,type,
    ord_le7866589430770878221at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_30,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_31,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_32,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_33,type,
    ord_le3776645642988763374x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_34,type,
    ord_le3716944864119727344t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_35,type,
    ord_le6841235830588351564t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_36,type,
    ord_le7158584875777748973t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > $o ).

tff(pred_def_37,type,
    ord_le7519368973566061808l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_38,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_39,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_40,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_41,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_42,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_43,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_44,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_45,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_46,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_47,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_48,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_49,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_50,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_51,type,
    ord_le4633831435867229666x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_52,type,
    ord_le5715760110363009508t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_53,type,
    ord_le8840051076831633728t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_54,type,
    ord_le2468614981408567801t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > $o ).

tff(pred_def_55,type,
    ord_le5573776112191778788l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_56,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_57,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_58,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_59,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_60,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_61,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_62,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_63,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_64,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_65,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_66,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_67,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_68,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_69,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_70,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_71,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_72,type,
    topolo3100542954746470799et_int: fun_nat_set_int > $o ).

tff(pred_def_73,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_74,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_75,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_76,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_77,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_78,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_79,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_80,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_81,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_82,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_83,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_84,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_85,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_86,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_87,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_88,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_89,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_90,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_91,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_92,type,
    pp: bool > $o ).

tff(pred_def_93,type,
    sP169: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_94,type,
    sP170: ( nat * nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_95,type,
    sP171: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_96,type,
    sP293: ( rat * rat * rat ) > $o ).

tff(pred_def_97,type,
    sP294: ( rat * rat * rat ) > $o ).

tff(pred_def_98,type,
    sP295: ( num * num * num ) > $o ).

tff(pred_def_99,type,
    sP296: ( num * num * num ) > $o ).

tff(pred_def_100,type,
    sP297: ( nat * nat * nat ) > $o ).

tff(pred_def_101,type,
    sP298: ( nat * nat * nat ) > $o ).

tff(pred_def_102,type,
    sP299: ( int * int * int ) > $o ).

tff(pred_def_103,type,
    sP300: ( int * int * int ) > $o ).

tff(pred_def_104,type,
    sP535: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_105,type,
    sP536: ( nat * nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_106,type,
    sP537: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_107,type,
    sP557: ( nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_108,type,
    sP558: ( vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_109,type,
    sP559: ( vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_110,type,
    sP560: vEBT_VEBT > $o ).

tff(pred_def_111,type,
    sP575: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_112,type,
    sP576: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_113,type,
    sP579: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_114,type,
    sP580: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_115,type,
    sP581: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_116,type,
    sP586: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_117,type,
    sP617: ( nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_118,type,
    sP618: ( nat * nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_119,type,
    sP619: ( nat * nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_120,type,
    sP663: ( int * int * int * int * fun_int_bool ) > $o ).

tff(pred_def_121,type,
    sP700: ( int * int * int * int * fun_int_bool ) > $o ).

tff(pred_def_122,type,
    sP822: ( real * fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_123,type,
    sP826: ( rat * fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_124,type,
    sP830: ( num * fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_125,type,
    sP834: ( nat * fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_126,type,
    sP838: ( int * fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_127,type,
    sP842: ( real * fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_128,type,
    sP846: ( rat * fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_129,type,
    sP850: ( num * fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_130,type,
    sP854: ( nat * fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_131,type,
    sP858: ( int * fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_132,type,
    sP882: ( real * fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_133,type,
    sP886: ( rat * fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_134,type,
    sP890: ( num * fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_135,type,
    sP894: ( nat * fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_136,type,
    sP898: ( int * fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_137,type,
    sP902: ( real * fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_138,type,
    sP906: ( rat * fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_139,type,
    sP910: ( num * fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_140,type,
    sP914: ( nat * fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_141,type,
    sP918: ( int * fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_142,type,
    sP1072: ( int * product_prod_int_int * int * int ) > $o ).

tff(pred_def_143,type,
    sP1155: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_144,type,
    sP1172: ( list_VEBT_VEBT * nat * nat * nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_145,type,
    sP1173: ( list_VEBT_VEBT * nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_146,type,
    sP1203: ( bool * nat ) > $o ).

tff(pred_def_147,type,
    sP1204: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_148,type,
    sP1309: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_149,type,
    sP1310: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_150,type,
    sP1311: ( vEBT_VEBT * list_VEBT_VEBT * nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_151,type,
    sP1328: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_152,type,
    sP1329: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_153,type,
    sP1347: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_154,type,
    sP1357: ( bool * nat ) > $o ).

tff(pred_def_155,type,
    sP1373: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat * bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_156,type,
    sP1593: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_157,type,
    sP1644: fun_int_bool > $o ).

tff(pred_def_158,type,
    sP1645: ( set_int * fun_int_bool * fun_int_bool * int ) > $o ).

tff(pred_def_159,type,
    sP1646: ( int * int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_160,type,
    sP1655: fun_int_bool > $o ).

tff(pred_def_161,type,
    sP1656: ( set_int * fun_int_bool * fun_int_bool * int ) > $o ).

tff(pred_def_162,type,
    sP1657: ( int * int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_163,type,
    sP1672: ( num * num * num ) > $o ).

tff(pred_def_164,type,
    sP1673: ( num * num * num ) > $o ).

tff(pred_def_165,type,
    sP1674: ( num * num * num ) > $o ).

tff(pred_def_166,type,
    sP1675: ( num * num * num ) > $o ).

tff(pred_def_167,type,
    sP1676: ( num * num * num ) > $o ).

tff(pred_def_168,type,
    sP1677: ( num * num * num ) > $o ).

tff(pred_def_169,type,
    sP1684: ( num * num * num ) > $o ).

tff(pred_def_170,type,
    sP1691: ( num * num * num ) > $o ).

tff(pred_def_171,type,
    sP1692: ( num * num * num ) > $o ).

tff(pred_def_172,type,
    sP1693: ( num * num * num ) > $o ).

tff(pred_def_173,type,
    sP1694: ( num * num * num ) > $o ).

tff(pred_def_174,type,
    sP1695: ( num * num * num ) > $o ).

tff(pred_def_175,type,
    sP1696: ( num * num * num ) > $o ).

tff(pred_def_176,type,
    sP1705: ( num * num * num ) > $o ).

tff(pred_def_177,type,
    sP1733: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_178,type,
    sP1786: ( option_num * num * num ) > $o ).

tff(pred_def_179,type,
    sP1787: ( option_num * num * num ) > $o ).

tff(pred_def_180,type,
    sP1788: ( option_num * num * num ) > $o ).

tff(pred_def_181,type,
    sP1789: ( option_num * num * num ) > $o ).

tff(pred_def_182,type,
    sP1790: ( option_num * num * num ) > $o ).

tff(pred_def_183,type,
    sP1791: ( option_num * num * num ) > $o ).

tff(pred_def_184,type,
    sP1792: ( option_num * num * num ) > $o ).

tff(pred_def_185,type,
    sP1805: ( option_num * num * num ) > $o ).

tff(pred_def_186,type,
    sP1806: ( option_num * num * num ) > $o ).

tff(pred_def_187,type,
    sP1807: ( option_num * num * num ) > $o ).

tff(pred_def_188,type,
    sP1808: ( option_num * num * num ) > $o ).

tff(pred_def_189,type,
    sP1809: ( option_num * num * num ) > $o ).

tff(pred_def_190,type,
    sP1810: ( option_num * num * num ) > $o ).

tff(pred_def_191,type,
    sP1819: ( num * option_num * num ) > $o ).

tff(pred_def_192,type,
    sP1824: ( option_num * num * num ) > $o ).

tff(pred_def_193,type,
    sP1825: ( option_num * num * num ) > $o ).

tff(pred_def_194,type,
    sP1826: ( option_num * num * num ) > $o ).

tff(pred_def_195,type,
    sP1827: ( option_num * num * num ) > $o ).

tff(pred_def_196,type,
    sP1828: ( option_num * num * num ) > $o ).

tff(pred_def_197,type,
    sP1829: ( option_num * num * num ) > $o ).

tff(pred_def_198,type,
    sP1830: ( option_num * num * num ) > $o ).

tff(pred_def_199,type,
    sP1843: ( option_num * num * num ) > $o ).

tff(pred_def_200,type,
    sP1844: ( option_num * num * num ) > $o ).

tff(pred_def_201,type,
    sP1845: ( option_num * num * num ) > $o ).

tff(pred_def_202,type,
    sP1846: ( option_num * num * num ) > $o ).

tff(pred_def_203,type,
    sP1847: ( option_num * num * num ) > $o ).

tff(pred_def_204,type,
    sP1848: ( option_num * num * num ) > $o ).

tff(pred_def_205,type,
    sP1857: ( num * option_num * num ) > $o ).

tff(pred_def_206,type,
    sP1862: ( option_num * num * num ) > $o ).

tff(pred_def_207,type,
    sP1863: ( option_num * num * num ) > $o ).

tff(pred_def_208,type,
    sP1864: ( option_num * num * num ) > $o ).

tff(pred_def_209,type,
    sP1865: ( option_num * num * num ) > $o ).

tff(pred_def_210,type,
    sP1866: ( option_num * num * num ) > $o ).

tff(pred_def_211,type,
    sP1867: ( option_num * num * num ) > $o ).

tff(pred_def_212,type,
    sP1876: ( num * option_num * num ) > $o ).

tff(pred_def_213,type,
    sP1881: ( option_num * num * num ) > $o ).

tff(pred_def_214,type,
    sP1882: ( option_num * num * num ) > $o ).

tff(pred_def_215,type,
    sP1883: ( option_num * num * num ) > $o ).

tff(pred_def_216,type,
    sP1884: ( option_num * num * num ) > $o ).

tff(pred_def_217,type,
    sP1885: ( option_num * num * num ) > $o ).

tff(pred_def_218,type,
    sP1886: ( option_num * num * num ) > $o ).

tff(pred_def_219,type,
    sP1895: ( num * option_num * num ) > $o ).

tff(pred_def_220,type,
    sP1965: ( real * real * nat ) > $o ).

tff(pred_def_221,type,
    sP2016: ( real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_222,type,
    sP2017: ( real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_223,type,
    sP2018: ( real * fun_real_real * fun_real_real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_224,type,
    sP2026: ( real * real * real ) > $o ).

tff(pred_def_225,type,
    sP2027: ( real * real * real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_226,type,
    sP2072: ( nat * nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_227,type,
    sP2074: ( nat * list_VEBT_VEBT ) > $o ).

tff(f1,axiom,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X1))
    <=> ( pp(aa_nat_bool(vEBT_V5719532721284313246member(X0),X1))
        | pp(aa_nat_bool(vEBT_VEBT_membermima(X0),X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_both__member__options__def) ).

tff(f8,axiom,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
   => pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f9,axiom,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
   => pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f11,axiom,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062) ).

tff(f10781,conjecture,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10782,negated_conjecture,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(negated_conjecture,[status(cth)],[f10781]) ).

tff(f10942,plain,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(flattening,[],[f10782]) ).

tff(f10983,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f10984,plain,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f17180,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(X0),X1))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X1)) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f17181,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(X0),X1))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X1)) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f17192,plain,
    ( ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)) ),
    inference(cnf_transformation,[],[f10983]) ).

tff(f17193,plain,
    ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)) ),
    inference(cnf_transformation,[],[f10984]) ).

tff(f17195,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f35144,plain,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(cnf_transformation,[],[f10942]) ).

tff(f43908,definition,
    ( spl2076_121
  <=> pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)) ),
    introduced(definition,[new_symbols(definition,[spl2076_121])],[avatar_definition]) ).

tff(f43909,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x))
    | spl2076_121 ),
    inference(avatar_component_clause,[],[f43908]) ).

tff(f43917,definition,
    ( spl2076_123
  <=> pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    introduced(definition,[new_symbols(definition,[spl2076_123])],[avatar_definition]) ).

tff(f43921,definition,
    ( spl2076_124
  <=> pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    introduced(definition,[new_symbols(definition,[spl2076_124])],[avatar_definition]) ).

tff(f43924,plain,
    ( spl2076_123
    | spl2076_124 ),
    inference(avatar_split_clause,[],[f17195,f43921,f43917]) ).

tff(f43926,definition,
    ( spl2076_125
  <=> pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)) ),
    introduced(definition,[new_symbols(definition,[spl2076_125])],[avatar_definition]) ).

tff(f43928,plain,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ spl2076_125 ),
    inference(avatar_component_clause,[],[f43926]) ).

tff(f43929,plain,
    ( spl2076_125
    | ~ spl2076_123 ),
    inference(avatar_split_clause,[],[f17193,f43917,f43926]) ).

tff(f43931,definition,
    ( spl2076_126
  <=> pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)) ),
    introduced(definition,[new_symbols(definition,[spl2076_126])],[avatar_definition]) ).

tff(f43933,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ spl2076_126 ),
    inference(avatar_component_clause,[],[f43931]) ).

tff(f43934,plain,
    ( spl2076_126
    | ~ spl2076_124 ),
    inference(avatar_split_clause,[],[f17192,f43921,f43931]) ).

tff(f43940,plain,
    ~ spl2076_121,
    inference(avatar_split_clause,[],[f35144,f43908]) ).

tff(f60638,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x))
    | ~ spl2076_125 ),
    inference(resolution,[],[f17180,f43928]) ).

tff(f60651,plain,
    ( $false
    | spl2076_121
    | ~ spl2076_125 ),
    inference(forward_subsumption_resolution,[],[f60638,f43909]) ).

tff(f60652,plain,
    ( spl2076_121
    | ~ spl2076_125 ),
    inference(avatar_contradiction_clause,[],[f60651]) ).

tff(f60676,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x))
    | ~ spl2076_126 ),
    inference(resolution,[],[f17181,f43933]) ).

tff(f60689,plain,
    ( $false
    | spl2076_121
    | ~ spl2076_126 ),
    inference(forward_subsumption_resolution,[],[f60676,f43909]) ).

tff(f60690,plain,
    ( spl2076_121
    | ~ spl2076_126 ),
    inference(avatar_contradiction_clause,[],[f60689]) ).

cnf(s149,plain,
    ( spl2076_123
    | spl2076_124 ),
    inference(sat_conversion,[],[f43924]) ).

cnf(s150,plain,
    ( ~ spl2076_123
    | spl2076_125 ),
    inference(sat_conversion,[],[f43929]) ).

cnf(s151,plain,
    ( ~ spl2076_124
    | spl2076_126 ),
    inference(sat_conversion,[],[f43934]) ).

cnf(s153,plain,
    ~ spl2076_121,
    inference(sat_conversion,[],[f43940]) ).

cnf(s718,plain,
    ( spl2076_121
    | ~ spl2076_125 ),
    inference(sat_conversion,[],[f60652]) ).

cnf(s719,plain,
    ( spl2076_121
    | ~ spl2076_126 ),
    inference(sat_conversion,[],[f60690]) ).

cnf(s734,plain,
    ~ spl2076_126,
    inference(rat,[],[s719,s153]) ).

cnf(s735,plain,
    ~ spl2076_125,
    inference(rat,[],[s718,s153]) ).

cnf(s737,plain,
    ~ spl2076_124,
    inference(rat,[],[s151,s734]) ).

cnf(s738,plain,
    ~ spl2076_123,
    inference(rat,[],[s150,s735]) ).

cnf(s739,plain,
    $false,
    inference(rat,[],[s149,s737,s738]) ).

tff(f60691,plain,
    $false,
    inference(avatar_sat_refutation,[],[s739]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP221_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44  % Computer : n026.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Sun Sep 27 12:29:42 UTC 2026
% 0.16/0.45  % CPUTime  : 
% 0.16/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.69/3.78  % (2773564)Will run a generic schedule for satisfiability detection.
% 15.69/3.78  % (2773572)dis+10_1_sil=32000:sp=arity:random_seed=4287752504:i=103:fgj=on_2990 on theBenchmark for (2990ds/103Mi)
% 15.69/3.78  % (2773573)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=697841528:i=116_2990 on theBenchmark for (2990ds/116Mi)
% 15.69/3.78  % (2773570)% WARNING: option uhcvi not known.
% 15.69/3.78  % (2773569)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1357535512_2990 on theBenchmark for (2990ds/0Mi)
% 15.69/3.78  % (2773570)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2013878714:i=135531:add=off:rawr=on_2990 on theBenchmark for (2990ds/135531Mi)
% 15.69/3.78  % (2773571)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4107560841:i=88024:add=on:rawr=on_2990 on theBenchmark for (2990ds/88024Mi)
% 15.69/3.78  % (2773574)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4098260283:i=131_2990 on theBenchmark for (2990ds/131Mi)
% 15.69/3.78  % (2773575)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4274778683:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2990 on theBenchmark for (2990ds/159Mi)
% 15.69/3.78  % (2773572)Instruction limit reached! 
% 15.69/3.78  % (2773572)------------------------------
% 15.69/3.78  % (2773572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773572)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773572)Termination reason: Instruction limit
% 15.69/3.78  % (2773572)Termination phase: Naming
% 15.69/3.78  % (2773572)Time elapsed: 0.063 s
% 15.69/3.78  % (2773572)Peak memory usage: 27 MB
% 15.69/3.78  % (2773572)Instructions burned: 104 (million)
% 15.69/3.78  % (2773573)Instruction limit reached! 
% 15.69/3.78  % (2773573)------------------------------
% 15.69/3.78  % (2773573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773573)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773573)Termination reason: Instruction limit
% 15.69/3.78  % (2773573)Termination phase: NewCNF
% 15.69/3.78  % (2773573)Time elapsed: 0.083 s
% 15.69/3.78  % (2773573)Peak memory usage: 28 MB
% 15.69/3.78  % (2773573)Instructions burned: 116 (million)
% 15.69/3.78  % (2773583)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2054940085:i=714:nm=2_2989 on theBenchmark for (2989ds/714Mi)
% 15.69/3.78  % (2773584)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3961033305:i=131:bd=preordered:fsd=on_2989 on theBenchmark for (2989ds/131Mi)
% 15.69/3.78  % (2773574)Instruction limit reached! 
% 15.69/3.78  % (2773574)------------------------------
% 15.69/3.78  % (2773574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773574)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773574)Termination reason: Instruction limit
% 15.69/3.78  % (2773574)Termination phase: Preprocessing 3
% 15.69/3.78  % (2773574)Time elapsed: 0.137 s
% 15.69/3.78  % (2773574)Peak memory usage: 28 MB
% 15.69/3.78  % (2773574)Instructions burned: 132 (million)
% 15.69/3.78  % (2773575)Instruction limit reached! 
% 15.69/3.78  % (2773575)------------------------------
% 15.69/3.78  % (2773575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773575)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773575)Termination reason: Instruction limit
% 15.69/3.78  % (2773575)Termination phase: Preprocessing 3
% 15.69/3.78  % (2773575)Time elapsed: 0.162 s
% 15.69/3.78  % (2773575)Peak memory usage: 29 MB
% 15.69/3.78  % (2773575)Instructions burned: 159 (million)
% 15.69/3.78  % (2773587)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1854225686:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2988 on theBenchmark for (2988ds/684Mi)
% 15.69/3.78  % (2773584)Instruction limit reached! 
% 15.69/3.78  % (2773584)------------------------------
% 15.69/3.78  % (2773584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773584)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773584)Termination reason: Instruction limit
% 15.69/3.78  % (2773584)Termination phase: Preprocessing 3
% 15.69/3.78  % (2773584)Time elapsed: 0.080 s
% 15.69/3.78  % (2773584)Peak memory usage: 28 MB
% 15.69/3.78  % (2773584)Instructions burned: 133 (million)
% 15.69/3.78  % (2773590)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2016040917:i=477:bd=all_2988 on theBenchmark for (2988ds/477Mi)
% 15.69/3.78  % (2773588)ott-21_1_sil=16000:fs=off:random_seed=3848680401:i=180:av=off:fsr=off_2988 on theBenchmark for (2988ds/180Mi)
% 15.69/3.78  % (2773588)Instruction limit reached! 
% 15.69/3.78  % (2773588)------------------------------
% 15.69/3.78  % (2773588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773588)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773588)Termination reason: Instruction limit
% 15.69/3.78  % (2773588)Termination phase: Preprocessing 3
% 15.69/3.78  % (2773588)Time elapsed: 0.182 s
% 15.69/3.78  % (2773588)Peak memory usage: 30 MB
% 15.69/3.78  % (2773588)Instructions burned: 181 (million)
% 15.69/3.78  % (2773595)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4243374475:fmbsr=1.3:i=865:ins=25_2986 on theBenchmark for (2986ds/865Mi)
% 15.69/3.78  % (2773590)Instruction limit reached! 
% 15.69/3.78  % (2773590)------------------------------
% 15.69/3.78  % (2773590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773590)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773590)Termination reason: Instruction limit
% 15.69/3.78  % (2773590)Termination phase: Property scanning
% 15.69/3.78  % (2773590)Time elapsed: 0.247 s
% 15.69/3.78  % (2773590)Peak memory usage: 35 MB
% 15.69/3.78  % (2773590)Instructions burned: 477 (million)
% 15.69/3.78  % (2773597)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=397578080:i=1179_2985 on theBenchmark for (2985ds/1179Mi)
% 15.69/3.78  % (2773583)Instruction limit reached! 
% 15.69/3.78  % (2773583)------------------------------
% 15.69/3.78  % (2773583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773583)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773583)Termination reason: Instruction limit
% 15.69/3.78  % (2773583)Termination phase: Function definition elimination
% 15.69/3.78  % (2773583)Time elapsed: 0.668 s
% 15.69/3.78  % (2773583)Peak memory usage: 39 MB
% 15.69/3.78  % (2773583)Instructions burned: 715 (million)
% 15.69/3.78  % (2773599)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2075493248:i=889:ins=1_2982 on theBenchmark for (2982ds/889Mi)
% 15.69/3.78  % (2773587)Instruction limit reached! 
% 15.69/3.78  % (2773587)------------------------------
% 15.69/3.78  % (2773587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773587)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773587)Termination reason: Instruction limit
% 15.69/3.78  % (2773587)Termination phase: Property scanning
% 15.69/3.78  % (2773587)Time elapsed: 0.607 s
% 15.69/3.78  % (2773587)Peak memory usage: 36 MB
% 15.69/3.78  % (2773587)Instructions burned: 684 (million)
% 15.69/3.78  % (2773601)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4093884264:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2982 on theBenchmark for (2982ds/692Mi)
% 15.69/3.78  % (2773595)Instruction limit reached! 
% 15.69/3.78  % (2773595)------------------------------
% 15.69/3.78  % (2773595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773595)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773595)Termination reason: Instruction limit
% 15.69/3.78  % (2773595)Termination phase: Property scanning
% 15.69/3.78  % (2773595)Time elapsed: 0.433 s
% 15.69/3.78  % (2773595)Peak memory usage: 37 MB
% 15.69/3.78  % (2773595)Instructions burned: 867 (million)
% 15.69/3.78  % (2773603)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1760481837:i=879:kws=inv_precedence:fsr=off_2981 on theBenchmark for (2981ds/879Mi)
% 15.69/3.78  % (2773603)Instruction limit reached! 
% 15.69/3.78  % (2773603)------------------------------
% 15.69/3.78  % (2773603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773603)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773603)Termination reason: Instruction limit
% 15.69/3.78  % (2773603)Termination phase: Property scanning
% 15.69/3.78  % (2773603)Time elapsed: 0.418 s
% 15.69/3.78  % (2773603)Peak memory usage: 36 MB
% 15.69/3.78  % (2773603)Instructions burned: 881 (million)
% 15.69/3.78  % (2773605)fmb+10_1_sil=64000:random_seed=302225860:i=22061:nm=2:gsp=on_2977 on theBenchmark for (2977ds/22061Mi)
% 15.69/3.78  % (2773601)Instruction limit reached! 
% 15.69/3.78  % (2773601)------------------------------
% 15.69/3.78  % (2773601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773601)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773601)Termination reason: Instruction limit
% 15.69/3.78  % (2773601)Termination phase: Property scanning
% 15.69/3.78  % (2773601)Time elapsed: 0.614 s
% 15.69/3.78  % (2773601)Peak memory usage: 35 MB
% 15.69/3.78  % (2773601)Instructions burned: 692 (million)
% 15.69/3.78  % (2773607)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=54699150:i=9515:nm=5_2975 on theBenchmark for (2975ds/9515Mi)
% 15.69/3.78  % (2773599)Instruction limit reached! 
% 15.69/3.78  % (2773599)------------------------------
% 15.69/3.78  % (2773599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773599)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773599)Termination reason: Instruction limit
% 15.69/3.78  % (2773599)Termination phase: Property scanning
% 15.69/3.78  % (2773599)Time elapsed: 0.757 s
% 15.69/3.78  % (2773599)Peak memory usage: 38 MB
% 15.69/3.78  % (2773599)Instructions burned: 890 (million)
% 15.69/3.78  % (2773597)Instruction limit reached! 
% 15.69/3.78  % (2773597)------------------------------
% 15.69/3.78  % (2773597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/3.78  % (2773597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.78  % (2773597)CaDiCaL version: 2.1.3
% 15.69/3.78  % (2773597)Termination reason: Instruction limit
% 15.69/3.78  % (2773597)Termination phase: Saturation
% 15.69/3.78  % (2773597)Time elapsed: 1.076 s
% 15.69/3.78  % (2773597)Peak memory usage: 40 MB
% 15.69/3.78  % (2773597)Instructions burned: 1179 (million)
% 15.69/3.78  % (2773609)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3235733922:fmbsr=1.7:i=920_2974 on theBenchmark for (2974ds/920Mi)
% 15.69/3.78  % (2773610)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3111762286:i=5131_2974 on theBenchmark for (2974ds/5131Mi)
% 15.69/3.78  % (2773570) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2773564-2773570"...
% 15.69/3.78  % (2773570)...printing done.
% 15.69/3.78  % (2773570)Refutation found. Thanks to Tanya!
% 15.69/3.78  % SZS status Theorem for theBenchmark
% 15.69/3.78  % SZS output start Proof for theBenchmark
% See solution above
% 17.53/3.81  % (2773570)------------------------------
% 17.53/3.81  % (2773570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/3.81  % (2773570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.81  % (2773570)CaDiCaL version: 2.1.3
% 17.53/3.81  % (2773570)Termination reason: Refutation
% 17.53/3.81  % (2773570)Time elapsed: 2.227 s
% 17.53/3.81  % (2773570)Peak memory usage: 48 MB
% 17.53/3.81  % (2773570)Instructions burned: 2363 (million)
% 17.53/3.81  % (2773564)Success in time 3.261 s
% 17.53/3.81  % Vampire exiting
%------------------------------------------------------------------------------