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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP279_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:12 AM UTC 2026

% Result   : Theorem 30.00s 10.10s
% Output   : Refutation 63.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :  278 ( 277 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  201 ( 199 usr;   1 prp; 0-5 aty)
%            Number of functors    : 2144 (2144 usr; 364 con; 0-8 aty)
%            Number of variables   :   26 (  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_fu2731253878641272541nteger: $tType ).

tff(type_def_6,type,
    fun_fu1609810484331806907nt_int: $tType ).

tff(type_def_7,type,
    fun_Pr6784847270111311109nteger: $tType ).

tff(type_def_8,type,
    fun_fu5715204168012157789nteger: $tType ).

tff(type_def_9,type,
    list_l75523379440224887nteger: $tType ).

tff(type_def_10,type,
    fun_Pr5991498150630465241r_bool: $tType ).

tff(type_def_11,type,
    fun_fu1504615460390191035nt_int: $tType ).

tff(type_def_12,type,
    fun_Pr3164600974287165328nt_int: $tType ).

tff(type_def_13,type,
    list_P2496775790676384743nteger: $tType ).

tff(type_def_14,type,
    fun_Pr8130403777583374735nteger: $tType ).

tff(type_def_15,type,
    produc1616345218596728535nteger: $tType ).

tff(type_def_16,type,
    list_l8895627494299877732nt_int: $tType ).

tff(type_def_17,type,
    fun_Pr6019674992625747500t_bool: $tType ).

tff(type_def_18,type,
    list_P4447908290634120532nt_int: $tType ).

tff(type_def_19,type,
    produc4441460161354545860nt_int: $tType ).

tff(type_def_20,type,
    list_l3430549877685615105nteger: $tType ).

tff(type_def_21,type,
    fun_Pr5900652808213522383r_bool: $tType ).

tff(type_def_22,type,
    fun_Pr7875579814169730748nt_int: $tType ).

tff(type_def_23,type,
    list_P5176709850099431537nteger: $tType ).

tff(type_def_24,type,
    produc5207004643709237345nteger: $tType ).

tff(type_def_25,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_26,type,
    list_f4295387047331035401e_term: $tType ).

tff(type_def_27,type,
    list_l3963183652787735184nt_int: $tType ).

tff(type_def_28,type,
    list_f8504123576994025594e_term: $tType ).

tff(type_def_29,type,
    fun_Pr272337284026993017e_term: $tType ).

tff(type_def_30,type,
    fun_Pr5504123824928244736t_bool: $tType ).

tff(type_def_31,type,
    list_P8883597994762331264nt_int: $tType ).

tff(type_def_32,type,
    fun_Pr9164807099015279978e_term: $tType ).

tff(type_def_33,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_34,type,
    produc6768802789813714928nt_int: $tType ).

tff(type_def_35,type,
    fun_op5682630191948829869t_bool: $tType ).

tff(type_def_36,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_37,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_38,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_39,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_40,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_41,type,
    list_f4599320226441621759e_term: $tType ).

tff(type_def_42,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_43,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_44,type,
    list_f6829383385585334350e_term: $tType ).

tff(type_def_45,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_46,type,
    fun_Co6545587727236015215e_term: $tType ).

tff(type_def_47,type,
    fun_op775672374849087042m_bool: $tType ).

tff(type_def_48,type,
    fun_op7732454363416259258t_bool: $tType ).

tff(type_def_49,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_50,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_51,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_52,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_53,type,
    fun_in6429348457993719614e_term: $tType ).

tff(type_def_54,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_55,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_56,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_57,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_58,type,
    fun_fu8303687057036190147t_bool: $tType ).

tff(type_def_59,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_60,type,
    fun_fu7495562154832025027t_bool: $tType ).

tff(type_def_61,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_62,type,
    fun_se7035039998181355731t_bool: $tType ).

tff(type_def_63,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_64,type,
    fun_se1925730536474940935t_bool: $tType ).

tff(type_def_65,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_66,type,
    fun_Co1981900195452921617nteger: $tType ).

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

tff(type_def_68,type,
    fun_op1962577433978643573m_bool: $tType ).

tff(type_def_69,type,
    list_P5578671422887162913nteger: $tType ).

tff(type_def_70,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_71,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_72,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_73,type,
    fun_fu5204410621998794179x_bool: $tType ).

tff(type_def_74,type,
    fun_op2627489687811228755t_bool: $tType ).

tff(type_def_75,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_76,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_77,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_78,type,
    fun_in3390538432181454188nt_int: $tType ).

tff(type_def_79,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_80,type,
    fun_se2973560062716774839x_bool: $tType ).

tff(type_def_81,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_82,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_83,type,
    fun_re3005535450163344039l_real: $tType ).

tff(type_def_84,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_85,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_86,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_87,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_88,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_89,type,
    fun_li7198739351512068233t_real: $tType ).

tff(type_def_90,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_91,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_92,type,
    list_l1670014477004246597nt_int: $tType ).

tff(type_def_93,type,
    fun_fu5874800227564645059l_bool: $tType ).

tff(type_def_94,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_95,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_96,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_97,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_98,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_99,type,
    fun_li853033635824500013st_nat: $tType ).

tff(type_def_100,type,
    produc8243902056947475879T_VEBT: $tType ).

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

tff(type_def_102,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_103,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_104,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_105,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_106,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_107,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_108,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_109,type,
    fun_in3606259060872855084nt_int: $tType ).

tff(type_def_110,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_111,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_112,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_113,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_114,type,
    fun_se2197967325210717499l_bool: $tType ).

tff(type_def_115,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_116,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_117,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_118,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_119,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_120,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_121,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_122,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_123,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_124,type,
    fun_se680526843285281907t_bool: $tType ).

tff(type_def_125,type,
    fun_se6612071603986899387t_bool: $tType ).

tff(type_def_126,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_127,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_128,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_129,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_130,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_131,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_132,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_133,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_134,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_135,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_136,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_137,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_138,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_139,type,
    fun_li7731370096534215997st_nat: $tType ).

tff(type_def_140,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_141,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_142,type,
    produc8025551001238799321T_VEBT: $tType ).

tff(type_def_143,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_144,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_145,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_146,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_147,type,
    fun_na5941084329111710283x_bool: $tType ).

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

tff(type_def_149,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_150,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_151,type,
    fun_re1255401033344146673l_bool: $tType ).

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

tff(type_def_153,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_154,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_155,type,
    fun_na6724076748692969250l_real: $tType ).

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

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

tff(type_def_158,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_159,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_173,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_175,type,
    produc8000372497851584572t_bool: $tType ).

tff(type_def_176,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_177,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_193,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_194,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_203,type,
    fun_Ex8563670519792538868t_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: set_real > fun_se2197967325210717499l_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: set_complex > fun_se2973560062716774839x_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: set_set_nat > fun_se1925730536474940935t_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: set_int > fun_se6612071603986899387t_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_nat > fun_se680526843285281907t_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: set_real > fun_fu5874800227564645059l_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: set_complex > fun_fu5204410621998794179x_bool ).

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

tff(func_def_15,type,
    aTP_Lamm_ao: set_set_nat > fun_fu7495562154832025027t_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_nat > fun_fu3889889255038636099t_bool ).

tff(func_def_17,type,
    aTP_Lamm_aq: set_int > fun_fu7822069302422884163t_bool ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_real_real ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_rat_rat ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_nat_nat ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_int_int ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_complex_complex ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_re7681423839302404990l_real ).

tff(func_def_24,type,
    aTP_Lamm_ax: rat > fun_rat_rat ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_fun_nat_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: int > fun_int_int ).

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

tff(func_def_28,type,
    aTP_Lamm_bb: fun_real_real ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_rat_rat ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_nat ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_int_int ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_complex_complex ).

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

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_Co8310303586393106575r_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_int_fun_int_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_nat_fun_nat_bool ).

tff(func_def_38,type,
    aTP_Lamm_bl: rat > fun_nat_fun_rat_rat ).

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

tff(func_def_40,type,
    aTP_Lamm_bn: int > fun_nat_fun_int_int ).

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

tff(func_def_42,type,
    aTP_Lamm_bp: code_integer > fun_na7078387940644931716nteger ).

tff(func_def_43,type,
    aTP_Lamm_bq: nat > fun_nat_fun_nat_nat ).

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

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

tff(func_def_46,type,
    aTP_Lamm_bt: complex > fun_na1591161823130732966omplex ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_re4238438383274954274t_real ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_real_real > fun_re3005535450163344039l_real ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_bool_int > fun_in3606259060872855084nt_int ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_re4238438383274954274t_real ).

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

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

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_real ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_re4238438383274954274t_real ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_complex ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_real ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_int ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_VEBT_VEBT_nat > fun_VEBT_VEBT_real ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_nat_nat > fun_nat_real ).

tff(func_def_61,type,
    aTP_Lamm_ci: list_int > fun_in3390538432181454188nt_int ).

tff(func_def_62,type,
    aTP_Lamm_cj: list_P5578671422887162913nteger > fun_fu5715204168012157789nteger ).

tff(func_def_63,type,
    aTP_Lamm_ck: list_P5578671422887162913nteger > fun_fu2731253878641272541nteger ).

tff(func_def_64,type,
    aTP_Lamm_cl: list_P5707943133018811711nt_int > fun_fu1609810484331806907nt_int ).

tff(func_def_65,type,
    aTP_Lamm_cm: list_P5707943133018811711nt_int > fun_fu1504615460390191035nt_int ).

tff(func_def_66,type,
    aTP_Lamm_cn: nat > fun_fu40286998686754419omplex ).

tff(func_def_67,type,
    aTP_Lamm_co: nat > fun_fu6899955116716589935t_real ).

tff(func_def_68,type,
    aTP_Lamm_cp: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_69,type,
    aTP_Lamm_cq: nat > fun_fu8464300013002972271at_int ).

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

tff(func_def_71,type,
    aTP_Lamm_cs: real > fun_fu6899955116716589935t_real ).

tff(func_def_72,type,
    aTP_Lamm_ct: complex > fun_fu40286998686754419omplex ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_74,type,
    aTP_Lamm_cv: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_complex > fun_nat_complex ).

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

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_re4238438383274954274t_real ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_real ).

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

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

tff(func_def_82,type,
    aTP_Lamm_dd: fun_re4238438383274954274t_real ).

tff(func_def_83,type,
    aTP_Lamm_de: complex > fun_real_bool ).

tff(func_def_84,type,
    aTP_Lamm_df: fun_nat_fun_nat_nat ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_fun_nat_nat ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_fun_nat_nat ).

tff(func_def_87,type,
    aTP_Lamm_di: nat > fun_nat_fun_nat_nat ).

tff(func_def_88,type,
    aTP_Lamm_dj: nat > fun_na3244735409550470327at_nat ).

tff(func_def_89,type,
    aTP_Lamm_dk: nat > fun_na3244735409550470327at_nat ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_nat_fun_nat_nat ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_nat_fun_nat_nat ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_nat_fun_nat_bool ).

tff(func_def_96,type,
    aTP_Lamm_dr: nat > fun_co1378794544173401837x_bool ).

tff(func_def_97,type,
    aTP_Lamm_ds: nat > fun_complex_bool ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_re4238438383274954274t_real ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_re4238438383274954274t_real ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_nat_real ).

tff(func_def_101,type,
    aTP_Lamm_dw: real > fun_fu6899955116716589935t_real ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_105,type,
    aTP_Lamm_ea: fun_re4238438383274954274t_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: nat > fun_nat_complex ).

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

tff(func_def_108,type,
    aTP_Lamm_ed: num > fun_na4138050610385705875at_nat ).

tff(func_def_109,type,
    aTP_Lamm_ee: num > fun_in1696471567231710611nt_int ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_na4138050610385705875at_nat ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_re1255401033344146673l_bool ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_re1255401033344146673l_bool ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_real_bool ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_int_fun_int_int ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_re1255401033344146673l_bool ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_real_bool ).

tff(func_def_117,type,
    aTP_Lamm_em: int > fun_int_fun_int_bool ).

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

tff(func_def_119,type,
    aTP_Lamm_eo: fun_nat_fun_nat_nat ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_nat_nat ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_122,type,
    aTP_Lamm_er: num > fun_Co2470855966376689427nteger ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_nat_bool ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_bool ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_Co1092983284983208416er_int ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_Co8521658056209057742er_num ).

tff(func_def_127,type,
    aTP_Lamm_ew: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_Co3583066429914935172er_nat ).

tff(func_def_129,type,
    aTP_Lamm_ey: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_130,type,
    aTP_Lamm_ez: code_integer > fun_Co2470855966376689427nteger ).

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

tff(func_def_132,type,
    aTP_Lamm_fb: rat > fun_int_bool ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_fun_nat_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_nat_fun_nat_nat ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_in1696471567231710611nt_int ).

tff(func_def_136,type,
    aTP_Lamm_ff: int > fun_in2204242111582549184nt_int ).

tff(func_def_137,type,
    aTP_Lamm_fg: rat > fun_in1696471567231710611nt_int ).

tff(func_def_138,type,
    aTP_Lamm_fh: int > fun_in2204242111582549184nt_int ).

tff(func_def_139,type,
    aTP_Lamm_fi: rat > fun_in1696471567231710611nt_int ).

tff(func_def_140,type,
    aTP_Lamm_fj: int > fun_in2204242111582549184nt_int ).

tff(func_def_141,type,
    aTP_Lamm_fk: rat > fun_in1696471567231710611nt_int ).

tff(func_def_142,type,
    aTP_Lamm_fl: int > fun_in2204242111582549184nt_int ).

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

tff(func_def_144,type,
    aTP_Lamm_fn: fun_in1696471567231710611nt_int ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_in1696471567231710611nt_int ).

tff(func_def_146,type,
    aTP_Lamm_fp: int > fun_in6148020733644367646t_bool ).

tff(func_def_147,type,
    aTP_Lamm_fq: rat > fun_int_fun_int_bool ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_nat_fun_nat_bool ).

tff(func_def_151,type,
    aTP_Lamm_fu: int > fun_int_fun_int_bool ).

tff(func_def_152,type,
    aTP_Lamm_fv: int > fun_int_fun_int_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: int > fun_int_fun_int_bool ).

tff(func_def_154,type,
    aTP_Lamm_fx: complex > fun_na5941084329111710283x_bool ).

tff(func_def_155,type,
    aTP_Lamm_fy: nat > fun_na5614638261385347865t_bool ).

tff(func_def_156,type,
    aTP_Lamm_fz: nat > fun_na5614638261385347865t_bool ).

tff(func_def_157,type,
    aTP_Lamm_ga: nat > fun_na5614638261385347865t_bool ).

tff(func_def_158,type,
    aTP_Lamm_gb: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_159,type,
    aTP_Lamm_gc: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_160,type,
    aTP_Lamm_gd: nat > fun_na5042103099923536755t_bool ).

tff(func_def_161,type,
    aTP_Lamm_ge: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_nat_fun_nat_bool ).

tff(func_def_163,type,
    aTP_Lamm_gg: nat > fun_na4143055713577223196at_nat ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_na1668100129766719005at_nat ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_na4138050610385705875at_nat ).

tff(func_def_166,type,
    aTP_Lamm_gj: nat > fun_na3408937105440547634t_bool ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_na4786964484885125043t_bool ).

tff(func_def_168,type,
    aTP_Lamm_gl: nat > fun_na3408937105440547634t_bool ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_na4786964484885125043t_bool ).

tff(func_def_170,type,
    aTP_Lamm_gn: nat > fun_na4143055713577223196at_nat ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_na1668100129766719005at_nat ).

tff(func_def_172,type,
    aTP_Lamm_gp: nat > fun_na4143055713577223196at_nat ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_na1668100129766719005at_nat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_nat_fun_nat_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_fun_nat_bool ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_nat_fun_nat_nat ).

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

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

tff(func_def_179,type,
    aTP_Lamm_gw: fun_nat_fun_nat_nat ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_na6724076748692969250l_real ).

tff(func_def_181,type,
    aTP_Lamm_gy: num > fun_num_int ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_num_option_num ).

tff(func_def_183,type,
    aTP_Lamm_ha: num > fun_nat_option_num ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_nat_option_num ).

tff(func_def_185,type,
    aTP_Lamm_hc: num > fun_nat_option_num ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_num_option_num ).

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

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

tff(func_def_189,type,
    aTP_Lamm_hg: num > fun_nat_option_num ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_na7595719129879163854on_num ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_na6724076748692969250l_real ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_real_real > fun_real_real ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_194,type,
    aTP_Lamm_hl: fun_re7681423839302404990l_real ).

tff(func_def_195,type,
    aTP_Lamm_hm: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_201,type,
    aTP_Lamm_hs: fun_nat_real > fun_real_real ).

tff(func_def_202,type,
    aTP_Lamm_ht: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_203,type,
    aTP_Lamm_hu: real > fun_fu5589980185390252312t_real ).

tff(func_def_204,type,
    aTP_Lamm_hv: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_207,type,
    aTP_Lamm_hy: nat > fun_fu3612569900928539882l_real ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_real_real ).

tff(func_def_210,type,
    aTP_Lamm_ib: fun_re4238438383274954274t_real ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_real_real ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_nat_real > fun_nat_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_nat_real ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_real > fun_nat_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_re4238438383274954274t_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_nat_real ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_re4238438383274954274t_real ).

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

tff(func_def_221,type,
    aTP_Lamm_im: fun_re4238438383274954274t_real ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_re4238438383274954274t_real ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_re4238438383274954274t_real ).

tff(func_def_224,type,
    aTP_Lamm_ip: fun_re4238438383274954274t_real ).

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_226,type,
    aTP_Lamm_ir: fun_nat_real > fun_fu6119738925743952495t_real ).

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

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

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

tff(func_def_230,type,
    aTP_Lamm_iv: nat > fun_fu3077872570260440615l_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_re7681423839302404990l_real ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_real_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_na6724076748692969250l_real ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_re7681423839302404990l_real ).

tff(func_def_235,type,
    aTP_Lamm_ja: fun_nat_set_nat ).

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

tff(func_def_237,type,
    aTP_Lamm_jc: nat > fun_nat_fun_nat_bool ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_real_real > fun_real_bool ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_real_real > fun_fu7376312551830202376l_bool ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_nat_bool > fun_nat_bool ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_243,type,
    aTP_Lamm_ji: int > fun_int_fun_int_bool ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_real_bool > fun_re1255401033344146673l_bool ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_real_bool > fun_real_bool ).

tff(func_def_246,type,
    aTP_Lamm_jl: real > fun_re1255401033344146673l_bool ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_real_bool > fun_real_bool ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_249,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_250,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_251,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_252,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_253,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_254,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_255,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_256,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_257,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_258,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_259,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_260,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_261,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_262,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_263,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_264,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_265,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_266,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_267,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_268,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_269,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_270,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_271,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_272,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_273,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_274,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_275,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_276,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_277,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_278,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_279,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_280,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_281,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_282,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_283,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_284,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_285,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_286,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_287,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_288,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_289,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_290,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_291,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_292,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_293,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_294,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_295,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_296,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_297,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_298,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_299,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_300,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_301,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_302,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_303,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_304,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_305,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_306,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_307,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_308,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_309,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_310,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_311,type,
    code_num_of_integer: fun_Code_integer_num ).

tff(func_def_312,type,
    code_Target_negative: fun_num_int ).

tff(func_def_313,type,
    code_Target_positive: fun_num_int ).

tff(func_def_314,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_315,type,
    complete_Inf_Inf_int: set_int > int ).

tff(func_def_316,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_317,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_318,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_319,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_320,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_321,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_322,type,
    arg: complex > real ).

tff(func_def_323,type,
    cis: real > complex ).

tff(func_def_324,type,
    cnj: fun_complex_complex ).

tff(func_def_325,type,
    complex2: ( real * real ) > complex ).

tff(func_def_326,type,
    im: complex > real ).

tff(func_def_327,type,
    re: complex > real ).

tff(func_def_328,type,
    csqrt: fun_complex_complex ).

tff(func_def_329,type,
    imaginary_unit: complex ).

tff(func_def_330,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_331,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_332,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_333,type,
    eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_334,type,
    unique6319869463603278526ux_int: fun_Pr803113274115125473t_bool ).

tff(func_def_335,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_336,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_337,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_338,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_339,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_340,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_341,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_342,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_343,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_344,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_345,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_346,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_347,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_348,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_349,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_350,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_351,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_352,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_353,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_354,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_355,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_356,type,
    at_bot_real: filter_real ).

tff(func_def_357,type,
    at_top_int: filter_int ).

tff(func_def_358,type,
    at_top_nat: filter_nat ).

tff(func_def_359,type,
    at_top_real: filter_real ).

tff(func_def_360,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_361,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_362,type,
    finite_card_int: set_int > nat ).

tff(func_def_363,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_364,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_365,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_366,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_367,type,
    finite_card_char: set_char > nat ).

tff(func_def_368,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_369,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_bool ).

tff(func_def_370,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_371,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_bool ).

tff(func_def_372,type,
    comp_C2179886998970519596um_nat: ( fun_Code_integer_num * fun_nat_Code_integer ) > fun_nat_num ).

tff(func_def_373,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_374,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_375,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_376,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_377,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_378,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_379,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_380,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_381,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_382,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_383,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_384,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_385,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_386,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_387,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_388,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_389,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_390,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_391,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_392,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_393,type,
    abs_abs_int: fun_int_int ).

tff(func_def_394,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_395,type,
    abs_abs_real: fun_real_real ).

tff(func_def_396,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_397,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_398,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_399,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_400,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_401,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_402,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_403,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_404,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_405,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_406,type,
    minus_minus_set_nat: set_nat > fun_set_nat_set_nat ).

tff(func_def_407,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_408,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_409,type,
    minus_5423061390740260265x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_410,type,
    minus_7727386867957376939t_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_411,type,
    minus_8064998606961450743t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_412,type,
    minus_1628305797571225351t_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_413,type,
    minus_6582619742941512235l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_414,type,
    minus_8322047804725131473t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_415,type,
    one_one_Code_integer: code_integer ).

tff(func_def_416,type,
    one_one_complex: complex ).

tff(func_def_417,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_418,type,
    one_one_int: int ).

tff(func_def_419,type,
    one_one_nat: nat ).

tff(func_def_420,type,
    one_one_rat: rat ).

tff(func_def_421,type,
    one_one_real: real ).

tff(func_def_422,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_423,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_424,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_425,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_426,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_427,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_428,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_429,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_430,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_431,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_432,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_433,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_434,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_435,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_436,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_437,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_438,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_439,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_440,type,
    times_times_num: num > fun_num_num ).

tff(func_def_441,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_442,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_443,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_444,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_445,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_446,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_447,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_448,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_449,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_450,type,
    zero_zero_complex: complex ).

tff(func_def_451,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_452,type,
    zero_zero_int: int ).

tff(func_def_453,type,
    zero_zero_nat: nat ).

tff(func_def_454,type,
    zero_zero_rat: rat ).

tff(func_def_455,type,
    zero_zero_real: real ).

tff(func_def_456,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_457,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_458,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_459,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_460,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_461,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_462,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_463,type,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_464,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_465,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_466,type,
    groups7488368174851004413at_nat: ( fun_nat_nat * nat * list_nat ) > nat ).

tff(func_def_467,type,
    groups1503878375050959669l_real: ( fun_real_real * real * list_real ) > real ).

tff(func_def_468,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_469,type,
    the_int: fun_int_bool > int ).

tff(func_def_470,type,
    the_real: fun_real_bool > real ).

tff(func_def_471,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_472,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_473,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_474,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_475,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_476,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_477,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_478,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_479,type,
    if_rat: ( bool * rat ) > fun_rat_rat ).

tff(func_def_480,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_481,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_482,type,
    if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).

tff(func_def_483,type,
    if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_484,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_485,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_486,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_487,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_488,type,
    nat2: fun_int_nat ).

tff(func_def_489,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_490,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_491,type,
    ring_1_Ints_int: set_int ).

tff(func_def_492,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_493,type,
    ring_1_Ints_real: set_real ).

tff(func_def_494,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_495,type,
    ring_17405671764205052669omplex: int > complex ).

tff(func_def_496,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_497,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_498,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_499,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_500,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_501,type,
    sup_sup_set_nat: set_nat > fun_set_nat_set_nat ).

tff(func_def_502,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_503,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_504,type,
    at_infinity_real: filter_real ).

tff(func_def_505,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_506,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_507,type,
    concat_bool: list_list_bool > list_bool ).

tff(func_def_508,type,
    concat_int: list_list_int > list_int ).

tff(func_def_509,type,
    concat_nat: list_list_nat > list_nat ).

tff(func_def_510,type,
    concat4512918505337516154nt_int: list_l1670014477004246597nt_int > list_P5707943133018811711nt_int ).

tff(func_def_511,type,
    concat8295835313259019616nteger: list_l3430549877685615105nteger > list_P5176709850099431537nteger ).

tff(func_def_512,type,
    concat3408116470568204527nt_int: list_l3963183652787735184nt_int > list_P8883597994762331264nt_int ).

tff(func_def_513,type,
    concat6384120729297734614nteger: list_l75523379440224887nteger > list_P2496775790676384743nteger ).

tff(func_def_514,type,
    concat1916241143073115075nt_int: list_l8895627494299877732nt_int > list_P4447908290634120532nt_int ).

tff(func_def_515,type,
    concat_real: list_list_real > list_real ).

tff(func_def_516,type,
    concat_VEBT_VEBT: list_list_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_517,type,
    distinct_int: fun_list_int_bool ).

tff(func_def_518,type,
    distinct_nat: fun_list_nat_bool ).

tff(func_def_519,type,
    foldr_bool_int: ( fun_bool_fun_int_int * list_bool ) > fun_int_int ).

tff(func_def_520,type,
    foldr_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_521,type,
    foldr_real_real: ( fun_re7681423839302404990l_real * list_real ) > fun_real_real ).

tff(func_def_522,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_523,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_524,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_525,type,
    nil_int: list_int ).

tff(func_def_526,type,
    nil_nat: list_nat ).

tff(func_def_527,type,
    hd_nat: list_nat > nat ).

tff(func_def_528,type,
    map_complex_complex: ( fun_complex_complex * list_complex ) > list_complex ).

tff(func_def_529,type,
    map_bool_bool: ( fun_bool_bool * list_bool ) > list_bool ).

tff(func_def_530,type,
    map_bool_int: ( fun_bool_int * list_bool ) > list_int ).

tff(func_def_531,type,
    map_bool_nat: ( fun_bool_nat * list_bool ) > list_nat ).

tff(func_def_532,type,
    map_bool_real: ( fun_bool_real * list_bool ) > list_real ).

tff(func_def_533,type,
    map_bool_VEBT_VEBT: ( fun_bool_VEBT_VEBT * list_bool ) > list_VEBT_VEBT ).

tff(func_def_534,type,
    map_int_bool: ( fun_int_bool * list_int ) > list_bool ).

tff(func_def_535,type,
    map_int_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_536,type,
    map_in7266296235447420877nt_int: ( fun_in3390538432181454188nt_int * list_int ) > list_l1670014477004246597nt_int ).

tff(func_def_537,type,
    map_int_nat: ( fun_int_nat * list_int ) > list_nat ).

tff(func_def_538,type,
    map_in7157766398909135175nt_int: ( fun_in4211310926729683942nt_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_539,type,
    map_int_real: ( fun_int_real * list_int ) > list_real ).

tff(func_def_540,type,
    map_int_VEBT_VEBT: ( fun_int_VEBT_VEBT * list_int ) > list_VEBT_VEBT ).

tff(func_def_541,type,
    map_li7225945977422193158st_nat: ( fun_li7731370096534215997st_nat * list_list_nat ) > list_list_nat ).

tff(func_def_542,type,
    map_li576258494306137302st_nat: ( fun_li853033635824500013st_nat * list_list_VEBT_VEBT ) > list_list_nat ).

tff(func_def_543,type,
    map_li2470829856544091186t_real: ( fun_li7198739351512068233t_real * list_list_VEBT_VEBT ) > list_list_real ).

tff(func_def_544,type,
    map_nat_bool: ( fun_nat_bool * list_nat ) > list_bool ).

tff(func_def_545,type,
    map_nat_int: ( fun_nat_int * list_nat ) > list_int ).

tff(func_def_546,type,
    map_nat_nat: fun_nat_nat > fun_li7731370096534215997st_nat ).

tff(func_def_547,type,
    map_nat_real: ( fun_nat_real * list_nat ) > list_real ).

tff(func_def_548,type,
    map_nat_VEBT_VEBT: ( fun_nat_VEBT_VEBT * list_nat ) > list_VEBT_VEBT ).

tff(func_def_549,type,
    map_Pr126289705015720376nteger: ( fun_Pr8130403777583374735nteger * list_P5578671422887162913nteger ) > list_P5176709850099431537nteger ).

tff(func_def_550,type,
    map_Pr2018771009508591662nteger: ( fun_Pr6784847270111311109nteger * list_P5578671422887162913nteger ) > list_P2496775790676384743nteger ).

tff(func_def_551,type,
    map_Pr5305617988603575909nt_int: ( fun_Pr7875579814169730748nt_int * list_P5707943133018811711nt_int ) > list_P8883597994762331264nt_int ).

tff(func_def_552,type,
    map_Pr8604290373398479161nt_int: ( fun_Pr3164600974287165328nt_int * list_P5707943133018811711nt_int ) > list_P4447908290634120532nt_int ).

tff(func_def_553,type,
    map_real_real: ( fun_real_real * list_real ) > list_real ).

tff(func_def_554,type,
    map_set_nat_set_nat: ( fun_set_nat_set_nat * list_set_nat ) > list_set_nat ).

tff(func_def_555,type,
    map_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * list_VEBT_VEBT ) > list_bool ).

tff(func_def_556,type,
    map_VEBT_VEBT_int: ( fun_VEBT_VEBT_int * list_VEBT_VEBT ) > list_int ).

tff(func_def_557,type,
    map_VEBT_VEBT_nat: fun_VEBT_VEBT_nat > fun_li853033635824500013st_nat ).

tff(func_def_558,type,
    map_VEBT_VEBT_real: fun_VEBT_VEBT_real > fun_li7198739351512068233t_real ).

tff(func_def_559,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_560,type,
    map_fu2295267554721640102nteger: ( fun_fu5715204168012157789nteger * list_f4599320226441621759e_term ) > list_l3430549877685615105nteger ).

tff(func_def_561,type,
    map_fu2249740826252829316nt_int: ( fun_fu1504615460390191035nt_int * list_f6829383385585334350e_term ) > list_l3963183652787735184nt_int ).

tff(func_def_562,type,
    map_fu8775823859105103142nteger: ( fun_fu2731253878641272541nteger * list_f4295387047331035401e_term ) > list_l75523379440224887nteger ).

tff(func_def_563,type,
    map_fu873364813797846404nt_int: ( fun_fu1609810484331806907nt_int * list_f8504123576994025594e_term ) > list_l8895627494299877732nt_int ).

tff(func_def_564,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_565,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_566,type,
    set_int2: list_int > set_int ).

tff(func_def_567,type,
    set_list_bool2: list_list_bool > set_list_bool ).

tff(func_def_568,type,
    set_list_int2: list_list_int > set_list_int ).

tff(func_def_569,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_570,type,
    set_list_VEBT_VEBT2: list_list_VEBT_VEBT > set_list_VEBT_VEBT ).

tff(func_def_571,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_572,type,
    set_real2: list_real > set_real ).

tff(func_def_573,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_574,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_575,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_576,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_577,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_578,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_579,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_580,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_581,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_582,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_583,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_584,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_585,type,
    nth_Pr396318242284072693t_bool: ( list_P6781292141273955916t_bool * nat ) > produc8000372497851584572t_bool ).

tff(func_def_586,type,
    nth_Pr744662078594809490T_VEBT: ( list_P5647936690300460905T_VEBT * nat ) > produc8025551001238799321T_VEBT ).

tff(func_def_587,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_588,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_589,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_590,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_591,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_592,type,
    nth_set_nat: ( list_set_nat * nat ) > set_nat ).

tff(func_def_593,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > fun_nat_VEBT_VEBT ).

tff(func_def_594,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_595,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_596,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_597,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_598,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_599,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_600,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_601,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_602,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_603,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_604,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_605,type,
    produc123904111796479589nteger: ( list_f4599320226441621759e_term * list_P5578671422887162913nteger ) > list_P5176709850099431537nteger ).

tff(func_def_606,type,
    produc319481247316517108nt_int: ( list_f6829383385585334350e_term * list_P5707943133018811711nt_int ) > list_P8883597994762331264nt_int ).

tff(func_def_607,type,
    produc8812318461680604379nteger: ( list_f4295387047331035401e_term * list_P5578671422887162913nteger ) > list_P2496775790676384743nteger ).

tff(func_def_608,type,
    produc6685900130176046024nt_int: ( list_f8504123576994025594e_term * list_P5707943133018811711nt_int ) > list_P4447908290634120532nt_int ).

tff(func_def_609,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_610,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_611,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_612,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_613,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_614,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_615,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_616,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_617,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_618,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_619,type,
    subseqs_bool: list_bool > list_list_bool ).

tff(func_def_620,type,
    subseqs_int: list_int > list_list_int ).

tff(func_def_621,type,
    subseqs_nat: list_nat > list_list_nat ).

tff(func_def_622,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

tff(func_def_623,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_624,type,
    upto: ( int * int ) > list_int ).

tff(func_def_625,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_626,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_627,type,
    suc: fun_nat_nat ).

tff(func_def_628,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_629,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_630,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_631,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_632,type,
    pred: fun_nat_nat ).

tff(func_def_633,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_634,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_635,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_636,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_637,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_638,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_639,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_640,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_641,type,
    size_size_list_int: list_int > nat ).

tff(func_def_642,type,
    size_s9193230429364170767t_bool: list_list_bool > nat ).

tff(func_def_643,type,
    size_s533118279054570080st_int: list_list_int > nat ).

tff(func_def_644,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_645,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

tff(func_def_646,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_647,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_648,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_649,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_650,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_651,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_652,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_653,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_654,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_655,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_656,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_657,type,
    size_size_list_real: list_real > nat ).

tff(func_def_658,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_659,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_660,type,
    size_size_num: fun_num_nat ).

tff(func_def_661,type,
    size_size_option_num: option_num > nat ).

tff(func_def_662,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_663,type,
    size_size_char: char > nat ).

tff(func_def_664,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_665,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_666,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_667,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_668,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_669,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_670,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_671,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_672,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_673,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_674,type,
    sqrt: fun_real_real ).

tff(func_def_675,type,
    bitM: fun_num_num ).

tff(func_def_676,type,
    inc: fun_num_num ).

tff(func_def_677,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_678,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_679,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_680,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_681,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_682,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_683,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_684,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_685,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_686,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_687,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_688,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_689,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_690,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_691,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_692,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_693,type,
    bit0: fun_num_num ).

tff(func_def_694,type,
    bit1: fun_num_num ).

tff(func_def_695,type,
    one: num ).

tff(func_def_696,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_697,type,
    size_num: fun_num_nat ).

tff(func_def_698,type,
    num_of_nat: fun_nat_num ).

tff(func_def_699,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_700,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_701,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_702,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_703,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_704,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_705,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_706,type,
    pow: num > fun_num_num ).

tff(func_def_707,type,
    pred_numeral: fun_num_nat ).

tff(func_def_708,type,
    sqr: fun_num_num ).

tff(func_def_709,type,
    none_num: option_num ).

tff(func_def_710,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_711,type,
    some_num: num > option_num ).

tff(func_def_712,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_713,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_714,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_715,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_716,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_717,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_718,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_719,type,
    bot_bot_nat: nat ).

tff(func_def_720,type,
    bot_bot_set_int: set_int ).

tff(func_def_721,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_722,type,
    bot_bot_set_real: set_real ).

tff(func_def_723,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_724,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_725,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_726,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_727,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_728,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_729,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_730,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_731,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_732,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_733,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_734,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_735,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_736,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_737,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_738,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_739,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_740,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_741,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_742,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_743,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_744,type,
    top_top_set_bool: set_bool ).

tff(func_def_745,type,
    top_top_set_int: set_int ).

tff(func_def_746,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_747,type,
    top_top_set_nat: set_nat ).

tff(func_def_748,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_749,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_750,type,
    top_top_set_real: set_real ).

tff(func_def_751,type,
    top_top_set_char: set_char ).

tff(func_def_752,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_753,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_754,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_755,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_756,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_757,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_758,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_759,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_760,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_761,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_762,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_763,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_764,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_765,type,
    produc3913204875133826030t_bool: ( nat * bool ) > produc8000372497851584572t_bool ).

tff(func_def_766,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_767,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_768,type,
    produc599794634098209291T_VEBT: ( nat * vEBT_VEBT ) > produc8025551001238799321T_VEBT ).

tff(func_def_769,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_770,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_771,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_772,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_773,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_774,type,
    produc4282985567423050387nteger: fun_Co6545587727236015215e_term > fun_Pr8130403777583374735nteger ).

tff(func_def_775,type,
    produc4852315488734385442nt_int: fun_in6429348457993719614e_term > fun_Pr7875579814169730748nt_int ).

tff(func_def_776,type,
    produc7384524951051686153nteger: fun_Pr272337284026993017e_term > fun_Pr6784847270111311109nteger ).

tff(func_def_777,type,
    produc1560874099174258678nt_int: fun_Pr9164807099015279978e_term > fun_Pr3164600974287165328nt_int ).

tff(func_def_778,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_779,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_780,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_781,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_782,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_783,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_784,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_785,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_786,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_787,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_788,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_789,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_790,type,
    produc5023667602222594023t_bool: ( fun_na4786964484885125043t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_791,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_792,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_793,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_794,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_795,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_796,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_797,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_798,type,
    frct: product_prod_int_int > rat ).

tff(func_def_799,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_800,type,
    of_int: fun_int_rat ).

tff(func_def_801,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_802,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_803,type,
    real_V3694042436643373181omplex: ( complex * complex ) > real ).

tff(func_def_804,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_805,type,
    real_V1022390504157884413omplex: complex > real ).

tff(func_def_806,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_807,type,
    real_V4546457046886955230omplex: real > complex ).

tff(func_def_808,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_809,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_810,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_811,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_812,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_813,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_814,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_815,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_816,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_817,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_818,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_819,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_820,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_821,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_822,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_823,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_824,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_825,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_826,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_827,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_828,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_829,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_830,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_831,type,
    zero_n3304061248610475627l_real: fun_bool_real ).

tff(func_def_832,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_833,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_834,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_835,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_836,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_837,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_838,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_839,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_840,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_841,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_842,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_843,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_844,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_845,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_846,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_847,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_848,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_849,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_850,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_851,type,
    image_nat_nat: fun_nat_nat > fun_set_nat_set_nat ).

tff(func_def_852,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_853,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_854,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_855,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_856,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_857,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_858,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_859,type,
    insert_nat: nat > fun_set_nat_set_nat ).

tff(func_def_860,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_861,type,
    set_fo1084959871951514735nteger: ( fun_na7078387940644931716nteger * nat * nat * code_integer ) > code_integer ).

tff(func_def_862,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_863,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_864,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_865,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_866,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_867,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_868,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_869,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_870,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_871,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_872,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_873,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_874,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_875,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_876,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_877,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_878,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_879,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_880,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_881,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_882,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_883,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_884,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_885,type,
    ascii_of: char > char ).

tff(func_def_886,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_887,type,
    size_char: char > nat ).

tff(func_def_888,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_889,type,
    integer_of_char: char > code_integer ).

tff(func_def_890,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_891,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_892,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_893,type,
    arccos: fun_real_real ).

tff(func_def_894,type,
    arcosh_real: fun_real_real ).

tff(func_def_895,type,
    arcsin: fun_real_real ).

tff(func_def_896,type,
    arctan: fun_real_real ).

tff(func_def_897,type,
    arsinh_real: fun_real_real ).

tff(func_def_898,type,
    artanh_real: fun_real_real ).

tff(func_def_899,type,
    cos_complex: fun_complex_complex ).

tff(func_def_900,type,
    cos_real: fun_real_real ).

tff(func_def_901,type,
    cos_coeff: fun_nat_real ).

tff(func_def_902,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_903,type,
    cosh_real: fun_real_real ).

tff(func_def_904,type,
    cot_complex: fun_complex_complex ).

tff(func_def_905,type,
    cot_real: fun_real_real ).

tff(func_def_906,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_907,type,
    exp_complex: fun_complex_complex ).

tff(func_def_908,type,
    exp_real: fun_real_real ).

tff(func_def_909,type,
    ln_ln_real: fun_real_real ).

tff(func_def_910,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_911,type,
    pi: real ).

tff(func_def_912,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_913,type,
    sin_complex: fun_complex_complex ).

tff(func_def_914,type,
    sin_real: fun_real_real ).

tff(func_def_915,type,
    sin_coeff: fun_nat_real ).

tff(func_def_916,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_917,type,
    sinh_real: fun_real_real ).

tff(func_def_918,type,
    tan_complex: fun_complex_complex ).

tff(func_def_919,type,
    tan_real: fun_real_real ).

tff(func_def_920,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_921,type,
    tanh_real: fun_real_real ).

tff(func_def_922,type,
    vEBT_Leaf: bool > fun_bool_VEBT_VEBT ).

tff(func_def_923,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT ) > fun_VE3165209603783583043T_VEBT ).

tff(func_def_924,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_925,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_bool ).

tff(func_def_926,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_927,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_928,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_929,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_930,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_931,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_932,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_933,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_934,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_935,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_936,type,
    vEBT_vebt_buildup: fun_nat_VEBT_VEBT ).

tff(func_def_937,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_938,type,
    vEBT_VEBT_cnt: fun_VEBT_VEBT_real ).

tff(func_def_939,type,
    vEBT_VEBT_cnt_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_940,type,
    vEBT_VEBT_space: fun_VEBT_VEBT_nat ).

tff(func_def_941,type,
    vEBT_VEBT_space2: fun_VEBT_VEBT_nat ).

tff(func_def_942,type,
    vEBT_VEBT_space_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_943,type,
    vEBT_VEBT_space_rel2: fun_VE5877677516038742509T_bool ).

tff(func_def_944,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_945,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_946,type,
    accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_947,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_948,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_949,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_950,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_951,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_952,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_953,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_954,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_955,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_956,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_957,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_958,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_959,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_960,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_961,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_962,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_963,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_964,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_965,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_966,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_967,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_968,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_969,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_970,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_971,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_972,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_973,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_974,type,
    aa_bool_real: ( fun_bool_real * bool ) > real ).

tff(func_def_975,type,
    aa_bool_VEBT_VEBT: ( fun_bool_VEBT_VEBT * bool ) > vEBT_VEBT ).

tff(func_def_976,type,
    aa_bool_fun_int_int: ( fun_bool_fun_int_int * bool ) > fun_int_int ).

tff(func_def_977,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_978,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_979,type,
    aa_int8473326307649047381nt_int: ( fun_in3390538432181454188nt_int * int ) > list_P5707943133018811711nt_int ).

tff(func_def_980,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_981,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_982,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_983,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_984,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_985,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_986,type,
    aa_int5463180763086053397nt_int: ( fun_in3606259060872855084nt_int * int ) > fun_bool_fun_int_int ).

tff(func_def_987,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_988,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_989,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_990,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_991,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_992,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_993,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_994,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_995,type,
    aa_list_nat_list_nat: ( fun_li7731370096534215997st_nat * list_nat ) > list_nat ).

tff(func_def_996,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_997,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_998,type,
    aa_lis737516237016205406st_nat: ( fun_li853033635824500013st_nat * list_VEBT_VEBT ) > list_nat ).

tff(func_def_999,type,
    aa_lis1579651418346748858t_real: ( fun_li7198739351512068233t_real * list_VEBT_VEBT ) > list_real ).

tff(func_def_1000,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1001,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1002,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1003,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1004,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1005,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1006,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1007,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1008,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1009,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1010,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1011,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1012,type,
    aa_nat_VEBT_VEBT: ( fun_nat_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1013,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_1014,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1015,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1016,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1017,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1018,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1019,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1020,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1021,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1022,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1023,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1024,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1025,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1026,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1027,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1028,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1029,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1030,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1031,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1032,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1033,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1034,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1035,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1036,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1037,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1038,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1039,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1040,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1041,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1042,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1043,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1044,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1045,type,
    aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).

tff(func_def_1046,type,
    aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).

tff(func_def_1047,type,
    aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).

tff(func_def_1048,type,
    aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).

tff(func_def_1049,type,
    aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).

tff(func_def_1050,type,
    aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1051,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1052,type,
    aa_Pro6252757739892038976nteger: ( fun_Pr8130403777583374735nteger * produc8923325533196201883nteger ) > produc5207004643709237345nteger ).

tff(func_def_1053,type,
    aa_Pro490869892464487350nteger: ( fun_Pr6784847270111311109nteger * produc8923325533196201883nteger ) > produc1616345218596728535nteger ).

tff(func_def_1054,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1055,type,
    aa_Pro835648289009615341nt_int: ( fun_Pr7875579814169730748nt_int * product_prod_int_int ) > produc6768802789813714928nt_int ).

tff(func_def_1056,type,
    aa_Pro3513184699142849729nt_int: ( fun_Pr3164600974287165328nt_int * product_prod_int_int ) > produc4441460161354545860nt_int ).

tff(func_def_1057,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1058,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1059,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1060,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1061,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1062,type,
    aa_Pro7150874649148492216r_bool: ( fun_Pr5900652808213522383r_bool * produc5207004643709237345nteger ) > bool ).

tff(func_def_1063,type,
    aa_Pro7591400126937138665t_bool: ( fun_Pr5504123824928244736t_bool * produc6768802789813714928nt_int ) > bool ).

tff(func_def_1064,type,
    aa_Pro3640759179027349698r_bool: ( fun_Pr5991498150630465241r_bool * produc1616345218596728535nteger ) > bool ).

tff(func_def_1065,type,
    aa_Pro5031108791230793749t_bool: ( fun_Pr6019674992625747500t_bool * produc4441460161354545860nt_int ) > bool ).

tff(func_def_1066,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1067,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1068,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1069,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1070,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1071,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1072,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1073,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1074,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1075,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1076,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1077,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1078,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1079,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1080,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1081,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1082,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1083,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1084,type,
    aa_rea4187809805863855336l_real: ( fun_re3005535450163344039l_real * real ) > fun_re7681423839302404990l_real ).

tff(func_def_1085,type,
    aa_set3741564773079358752x_bool: ( fun_se2973560062716774839x_bool * set_complex ) > fun_complex_bool ).

tff(func_def_1086,type,
    aa_set7012339369581096484t_bool: ( fun_se6612071603986899387t_bool * set_int ) > fun_int_bool ).

tff(func_def_1087,type,
    aa_set257547205302447420t_bool: ( fun_se7035039998181355731t_bool * set_list_nat ) > fun_list_nat_bool ).

tff(func_def_1088,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1089,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1090,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_1091,type,
    aa_set3744802623701456604t_bool: ( fun_se680526843285281907t_bool * set_nat ) > fun_nat_bool ).

tff(func_def_1092,type,
    aa_set8565328311858951076l_bool: ( fun_se2197967325210717499l_bool * set_real ) > fun_real_bool ).

tff(func_def_1093,type,
    aa_set9121396911425987952t_bool: ( fun_se1925730536474940935t_bool * set_set_nat ) > fun_set_nat_bool ).

tff(func_def_1094,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1095,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1096,type,
    aa_VEBT_VEBT_int: ( fun_VEBT_VEBT_int * vEBT_VEBT ) > int ).

tff(func_def_1097,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1098,type,
    aa_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * vEBT_VEBT ) > real ).

tff(func_def_1099,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1100,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1101,type,
    aa_fun6364006585584242974nteger: ( fun_fu5715204168012157789nteger * fun_Co6545587727236015215e_term ) > list_P5176709850099431537nteger ).

tff(func_def_1102,type,
    aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1103,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1104,type,
    aa_fun2430499459879863548nt_int: ( fun_fu1504615460390191035nt_int * fun_in6429348457993719614e_term ) > list_P8883597994762331264nt_int ).

tff(func_def_1105,type,
    aa_fun6009467934925565500t_bool: ( fun_fu8303687057036190147t_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1106,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1107,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1108,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1109,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1110,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1111,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1112,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1113,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1114,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1115,type,
    aa_fun4884900223155576734nteger: ( fun_fu2731253878641272541nteger * fun_Pr272337284026993017e_term ) > list_P2496775790676384743nteger ).

tff(func_def_1116,type,
    aa_fun678378923358490620nt_int: ( fun_fu1609810484331806907nt_int * fun_Pr9164807099015279978e_term ) > list_P4447908290634120532nt_int ).

tff(func_def_1117,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1118,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1119,type,
    aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1120,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_1121,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1122,type,
    aa_fun3565389549526402364t_bool: ( fun_fu7495562154832025027t_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1123,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1124,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1125,type,
    fFalse: bool ).

tff(func_def_1126,type,
    fNot: fun_bool_bool ).

tff(func_def_1127,type,
    fTrue: bool ).

tff(func_def_1128,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1129,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1130,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1131,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1132,type,
    fequal_bool: bool > fun_bool_bool ).

tff(func_def_1133,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1134,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1135,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1136,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1137,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1138,type,
    c: real ).

tff(func_def_1139,type,
    deg: nat ).

tff(func_def_1140,type,
    m: nat ).

tff(func_def_1141,type,
    ma: nat ).

tff(func_def_1142,type,
    mi: nat ).

tff(func_def_1143,type,
    na: nat ).

tff(func_def_1144,type,
    summary: vEBT_VEBT ).

tff(func_def_1145,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1146,type,
    sK141: ( real * real * real ) > real ).

tff(func_def_1147,type,
    sK142: ( real * real * real ) > real ).

tff(func_def_1148,type,
    sK143: ( fun_re1255401033344146673l_bool * real * real ) > real ).

tff(func_def_1149,type,
    sK144: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_1150,type,
    sK145: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_1151,type,
    sK146: fun_re1255401033344146673l_bool > real ).

tff(func_def_1152,type,
    sK147: fun_re1255401033344146673l_bool > real ).

tff(func_def_1153,type,
    sK148: fun_re1255401033344146673l_bool > real ).

tff(func_def_1154,type,
    sK149: ( real * fun_real_bool ) > real ).

tff(func_def_1155,type,
    sK150: ( real * fun_real_bool ) > real ).

tff(func_def_1156,type,
    sK151: ( fun_real_bool * real ) > real ).

tff(func_def_1157,type,
    sK152: ( fun_real_bool * real ) > real ).

tff(func_def_1158,type,
    sK153: ( real * fun_real_bool ) > real ).

tff(func_def_1159,type,
    sK154: ( real * fun_real_bool ) > real ).

tff(func_def_1160,type,
    sK155: ( fun_real_bool * real ) > real ).

tff(func_def_1161,type,
    sK156: ( fun_real_bool * real ) > real ).

tff(func_def_1162,type,
    sK157: ( real * real ) > nat ).

tff(func_def_1163,type,
    sK158: ( real * real ) > nat ).

tff(func_def_1164,type,
    sK159: ( real * real ) > nat ).

tff(func_def_1165,type,
    sK160: ( real * real ) > real ).

tff(func_def_1166,type,
    sK161: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1167,type,
    sK162: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1168,type,
    sK163: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1169,type,
    sK164: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1170,type,
    sK165: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1171,type,
    sK166: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1172,type,
    sK167: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1173,type,
    sK168: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1174,type,
    sK169: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1175,type,
    sK170: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1176,type,
    sK171: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1177,type,
    sK172: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1178,type,
    sK173: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1179,type,
    sK174: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1180,type,
    sK175: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1181,type,
    sK176: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1182,type,
    sK177: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1183,type,
    sK178: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1184,type,
    sK179: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1185,type,
    sK180: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1186,type,
    sK181: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1187,type,
    sK182: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1188,type,
    sK183: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1189,type,
    sK184: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1190,type,
    sK185: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1191,type,
    sK186: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1192,type,
    sK187: vEBT_VEBT > bool ).

tff(func_def_1193,type,
    sK188: vEBT_VEBT > bool ).

tff(func_def_1194,type,
    sK189: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1195,type,
    sK190: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1196,type,
    sK191: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1197,type,
    sK192: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1198,type,
    sK193: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1199,type,
    sK194: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1200,type,
    sK195: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1201,type,
    sK196: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1202,type,
    sK197: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1203,type,
    sK198: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1204,type,
    sK199: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1205,type,
    sK200: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1206,type,
    sK201: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1207,type,
    sK202: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1208,type,
    sK203: vEBT_VEBT > bool ).

tff(func_def_1209,type,
    sK204: vEBT_VEBT > bool ).

tff(func_def_1210,type,
    sK205: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1211,type,
    sK206: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1212,type,
    sK207: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1213,type,
    sK208: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1214,type,
    sK209: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1215,type,
    sK210: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1216,type,
    sK211: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1217,type,
    sK212: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1218,type,
    sK213: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1219,type,
    sK214: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1220,type,
    sK215: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1221,type,
    sK216: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1222,type,
    sK217: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1223,type,
    sK218: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1224,type,
    sK219: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1225,type,
    sK220: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1226,type,
    sK221: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1227,type,
    sK222: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1228,type,
    sK223: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1229,type,
    sK224: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1230,type,
    sK225: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1231,type,
    sK226: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1232,type,
    sK227: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1233,type,
    sK228: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1234,type,
    sK229: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1235,type,
    sK230: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1236,type,
    sK231: vEBT_VEBT > bool ).

tff(func_def_1237,type,
    sK232: vEBT_VEBT > bool ).

tff(func_def_1238,type,
    sK233: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1239,type,
    sK234: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1240,type,
    sK235: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1241,type,
    sK236: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1242,type,
    sK237: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1243,type,
    sK238: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1244,type,
    sK239: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1245,type,
    sK240: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1246,type,
    sK241: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1247,type,
    sK242: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1248,type,
    sK243: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1249,type,
    sK244: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1250,type,
    sK245: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1251,type,
    sK246: vEBT_VEBT > nat ).

tff(func_def_1252,type,
    sK247: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1253,type,
    sK248: list_VEBT_VEBT > nat ).

tff(func_def_1254,type,
    sK249: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1255,type,
    sK250: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1256,type,
    sK251: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1257,type,
    sK252: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1258,type,
    sK253: vEBT_VEBT > nat ).

tff(func_def_1259,type,
    sK254: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1260,type,
    sK255: list_VEBT_VEBT > nat ).

tff(func_def_1261,type,
    sK256: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1262,type,
    sK257: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1263,type,
    sK258: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1264,type,
    sK259: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1265,type,
    sK260: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1266,type,
    sK261: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1267,type,
    sK262: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1268,type,
    sK263: list_VEBT_VEBT > nat ).

tff(func_def_1269,type,
    sK264: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1270,type,
    sK265: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1271,type,
    sK266: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1272,type,
    sK267: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1273,type,
    sK268: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1274,type,
    sK269: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1275,type,
    sK270: list_VEBT_VEBT > nat ).

tff(func_def_1276,type,
    sK271: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1277,type,
    sK272: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1278,type,
    sK273: vEBT_VEBT > bool ).

tff(func_def_1279,type,
    sK274: vEBT_VEBT > bool ).

tff(func_def_1280,type,
    sK275: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1281,type,
    sK276: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1282,type,
    sK277: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1283,type,
    sK278: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1284,type,
    sK279: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1285,type,
    sK280: list_VEBT_VEBT > nat ).

tff(func_def_1286,type,
    sK281: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1287,type,
    sK282: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1288,type,
    sK283: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1289,type,
    sK284: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1290,type,
    sK285: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1291,type,
    sK286: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1292,type,
    sK287: list_VEBT_VEBT > nat ).

tff(func_def_1293,type,
    sK288: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1294,type,
    sK289: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1295,type,
    sK290: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1296,type,
    sK291: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1297,type,
    sK292: ( real * real ) > real ).

tff(func_def_1298,type,
    sK293: ( real * real ) > real ).

tff(func_def_1299,type,
    sK294: ( real * real * real ) > real ).

tff(func_def_1300,type,
    sK295: ( real * real * real ) > real ).

tff(func_def_1301,type,
    sK296: fun_nat_real > nat ).

tff(func_def_1302,type,
    sK297: fun_nat_real > nat ).

tff(func_def_1303,type,
    sK298: fun_real_real > real ).

tff(func_def_1304,type,
    sK299: fun_real_real > real ).

tff(func_def_1305,type,
    sK300: fun_nat_real > nat ).

tff(func_def_1306,type,
    sK301: fun_nat_real > nat ).

tff(func_def_1307,type,
    sK302: fun_real_real > real ).

tff(func_def_1308,type,
    sK303: fun_real_real > real ).

tff(func_def_1309,type,
    sK304: real > real ).

tff(func_def_1310,type,
    sK305: real > real ).

tff(func_def_1311,type,
    sK306: real > real ).

tff(func_def_1312,type,
    sK307: real > real ).

tff(func_def_1313,type,
    sK308: ( real * real ) > real ).

tff(func_def_1314,type,
    sK309: fun_re1255401033344146673l_bool > real ).

tff(func_def_1315,type,
    sK310: ( nat * real ) > real ).

tff(func_def_1316,type,
    sK311: ( nat * real ) > real ).

tff(func_def_1317,type,
    sK312: ( real * real ) > nat ).

tff(func_def_1318,type,
    sK313: ( real * nat ) > real ).

tff(func_def_1319,type,
    sK314: ( real * real ) > nat ).

tff(func_def_1320,type,
    sK315: product_prod_nat_nat > nat ).

tff(func_def_1321,type,
    sK316: product_prod_nat_nat > nat ).

tff(func_def_1322,type,
    sK317: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1323,type,
    sK318: vEBT_VEBT > nat ).

tff(func_def_1324,type,
    sK319: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1325,type,
    sK320: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1326,type,
    sK321: vEBT_VEBT > bool ).

tff(func_def_1327,type,
    sK322: vEBT_VEBT > bool ).

tff(func_def_1328,type,
    sK323: vEBT_VEBT > bool ).

tff(func_def_1329,type,
    sK324: vEBT_VEBT > bool ).

tff(func_def_1330,type,
    sK325: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1331,type,
    sK326: vEBT_VEBT > nat ).

tff(func_def_1332,type,
    sK327: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1333,type,
    sK328: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1334,type,
    sK329: ( vEBT_VEBT * real ) > option4927543243414619207at_nat ).

tff(func_def_1335,type,
    sK330: ( vEBT_VEBT * real ) > nat ).

tff(func_def_1336,type,
    sK331: ( vEBT_VEBT * real ) > list_VEBT_VEBT ).

tff(func_def_1337,type,
    sK332: ( vEBT_VEBT * real ) > vEBT_VEBT ).

tff(func_def_1338,type,
    sK333: vEBT_VEBT > bool ).

tff(func_def_1339,type,
    sK334: vEBT_VEBT > bool ).

tff(func_def_1340,type,
    sK335: fun_nat_real > nat ).

tff(func_def_1341,type,
    sK336: fun_nat_real > nat ).

tff(func_def_1342,type,
    sK337: real > nat ).

tff(func_def_1343,type,
    sK338: real > nat ).

tff(func_def_1344,type,
    sK339: real > nat ).

tff(func_def_1345,type,
    sK340: fun_nat_real > nat ).

tff(func_def_1346,type,
    sK341: fun_nat_real > nat ).

tff(func_def_1347,type,
    sK342: fun_real_real > real ).

tff(func_def_1348,type,
    sK343: fun_real_real > real ).

tff(func_def_1349,type,
    sK344: fun_real_real > real ).

tff(func_def_1350,type,
    sK345: fun_real_real > real ).

tff(func_def_1351,type,
    sK346: fun_real_real > real ).

tff(func_def_1352,type,
    sK347: fun_real_real > real ).

tff(func_def_1353,type,
    sK348: fun_real_real > real ).

tff(func_def_1354,type,
    sK349: fun_real_real > real ).

tff(func_def_1355,type,
    sK350: fun_re1255401033344146673l_bool > real ).

tff(func_def_1356,type,
    sK351: fun_re1255401033344146673l_bool > real ).

tff(func_def_1357,type,
    sK352: fun_re1255401033344146673l_bool > real ).

tff(func_def_1358,type,
    sK353: fun_re1255401033344146673l_bool > real ).

tff(func_def_1359,type,
    sK354: fun_re1255401033344146673l_bool > real ).

tff(func_def_1360,type,
    sK355: ( real * real ) > real ).

tff(func_def_1361,type,
    sK356: real > real ).

tff(func_def_1362,type,
    sK357: real > real ).

tff(func_def_1363,type,
    sK358: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1364,type,
    sK359: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1365,type,
    sK360: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1366,type,
    sK361: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1367,type,
    sK362: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1368,type,
    sK363: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1369,type,
    sK364: real > real ).

tff(func_def_1370,type,
    sK365: real > real ).

tff(func_def_1371,type,
    sK366: real > real ).

tff(func_def_1372,type,
    sK367: real > real ).

tff(func_def_1373,type,
    sK368: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1374,type,
    sK369: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1375,type,
    sK370: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1376,type,
    sK371: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1377,type,
    sK372: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1378,type,
    sK373: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1379,type,
    sK374: real > real ).

tff(func_def_1380,type,
    sK375: real > real ).

tff(func_def_1381,type,
    sK376: real > real ).

tff(func_def_1382,type,
    sK377: real > real ).

tff(func_def_1383,type,
    sK378: ( real * real ) > real ).

tff(func_def_1384,type,
    sK379: real > real ).

tff(func_def_1385,type,
    sK380: real > real ).

tff(func_def_1386,type,
    sK381: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * real ) > vEBT_VEBT ).

tff(func_def_1387,type,
    sK382: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1388,type,
    sK383: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1389,type,
    sK384: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1390,type,
    sK385: ( list_VEBT_VEBT * list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1391,type,
    sK386: ( list_VEBT_VEBT * list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1392,type,
    sK387: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1393,type,
    sK388: ( list_VEBT_VEBT * fun_VEBT_VEBT_real * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1394,type,
    sK389: ( list_real * fun_VEBT_VEBT_real ) > list_VEBT_VEBT ).

tff(func_def_1395,type,
    sK390: ( list_real * fun_VEBT_VEBT_real ) > real ).

tff(func_def_1396,type,
    sK391: ( fun_VEBT_VEBT_real * real ) > vEBT_VEBT ).

tff(func_def_1397,type,
    sK392: ( fun_VEBT_VEBT_real * list_VEBT_VEBT * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(func_def_1398,type,
    sK393: nat > nat ).

tff(func_def_1399,type,
    sK394: real > nat ).

tff(func_def_1400,type,
    sK395: fun_real_bool > nat ).

tff(func_def_1401,type,
    sK396: fun_real_bool > real ).

tff(func_def_1402,type,
    sK397: fun_real_bool > real ).

tff(func_def_1403,type,
    sK398: real > nat ).

tff(func_def_1404,type,
    sK399: fun_real_bool > nat ).

tff(func_def_1405,type,
    sK400: fun_real_bool > real ).

tff(func_def_1406,type,
    sK401: fun_real_bool > real ).

tff(func_def_1407,type,
    sK402: real > nat ).

tff(func_def_1408,type,
    sK403: real > int ).

tff(func_def_1409,type,
    sK404: real > int ).

tff(func_def_1410,type,
    sK405: ( fun_int_bool * real ) > int ).

tff(func_def_1411,type,
    sK406: ( fun_int_bool * real ) > int ).

tff(func_def_1412,type,
    sK407: real > int ).

tff(func_def_1413,type,
    sK408: real > int ).

tff(func_def_1414,type,
    sK409: real > int ).

tff(func_def_1415,type,
    sK410: real > int ).

tff(func_def_1416,type,
    sK411: real > int ).

tff(func_def_1417,type,
    sK412: real > int ).

tff(func_def_1418,type,
    sK413: real > int ).

tff(func_def_1419,type,
    sK414: real > int ).

tff(func_def_1420,type,
    sK415: real > int ).

tff(func_def_1421,type,
    sK416: ( int * int ) > int ).

tff(func_def_1422,type,
    sK417: ( fun_int_bool * int * int ) > int ).

tff(func_def_1423,type,
    sK418: ( fun_int_bool * int * int ) > int ).

tff(func_def_1424,type,
    sK419: ( fun_int_bool * int * int ) > int ).

tff(func_def_1425,type,
    sK420: ( fun_int_bool * int * int ) > int ).

tff(func_def_1426,type,
    sK421: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1427,type,
    sK422: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1428,type,
    sK423: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1429,type,
    sK424: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1430,type,
    sK425: fun_int_real > int ).

tff(func_def_1431,type,
    sK426: fun_int_real > int ).

tff(func_def_1432,type,
    sK427: fun_int_real > int ).

tff(func_def_1433,type,
    sK428: fun_int_real > int ).

tff(func_def_1434,type,
    sK429: fun_int_real > int ).

tff(func_def_1435,type,
    sK430: fun_int_real > int ).

tff(func_def_1436,type,
    sK431: ( int * fun_int_bool ) > int ).

tff(func_def_1437,type,
    sK432: ( int * fun_int_bool ) > int ).

tff(func_def_1438,type,
    sK433: ( int * fun_int_bool ) > int ).

tff(func_def_1439,type,
    sK434: fun_int_bool > int ).

tff(func_def_1440,type,
    sK435: fun_int_bool > int ).

tff(func_def_1441,type,
    sK436: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1442,type,
    sK437: ( nat * fun_nat_int ) > nat ).

tff(func_def_1443,type,
    sK438: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1444,type,
    sK439: ( nat * fun_nat_int ) > nat ).

tff(func_def_1445,type,
    sK440: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_1446,type,
    sK441: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_1447,type,
    sK442: ( int * fun_int_bool ) > int ).

tff(func_def_1448,type,
    sK443: fun_int_bool > int ).

tff(func_def_1449,type,
    sK444: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1450,type,
    sK445: ( int * fun_int_bool ) > int ).

tff(func_def_1451,type,
    sK446: ( int * fun_int_bool ) > int ).

tff(func_def_1452,type,
    sK447: fun_int_bool > int ).

tff(func_def_1453,type,
    sK448: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1454,type,
    sK449: ( int * fun_int_bool ) > int ).

tff(func_def_1455,type,
    sK450: ( int * fun_int_bool ) > int ).

tff(func_def_1456,type,
    sK451: ( int * fun_int_bool ) > int ).

tff(func_def_1457,type,
    sK452: ( int * fun_int_bool ) > int ).

tff(func_def_1458,type,
    sK453: ( fun_int_bool * int ) > int ).

tff(func_def_1459,type,
    sK454: ( fun_int_bool * int ) > int ).

tff(func_def_1460,type,
    sK455: ( int * fun_int_bool ) > int ).

tff(func_def_1461,type,
    sK456: ( int * fun_int_bool ) > int ).

tff(func_def_1462,type,
    sK457: ( fun_int_bool * int ) > int ).

tff(func_def_1463,type,
    sK458: ( fun_int_bool * int ) > int ).

tff(func_def_1464,type,
    sK459: ( fun_int_bool * int ) > int ).

tff(func_def_1465,type,
    sK460: ( fun_int_bool * int ) > int ).

tff(func_def_1466,type,
    sK461: ( int * fun_int_bool ) > int ).

tff(func_def_1467,type,
    sK462: ( int * fun_int_bool ) > int ).

tff(func_def_1468,type,
    sK463: int > nat ).

tff(func_def_1469,type,
    sK464: int > nat ).

tff(func_def_1470,type,
    sK465: num > num ).

tff(func_def_1471,type,
    sK466: num > num ).

tff(func_def_1472,type,
    sK467: nat > nat ).

tff(func_def_1473,type,
    sK468: nat > nat ).

tff(func_def_1474,type,
    sK469: fun_nat_bool > nat ).

tff(func_def_1475,type,
    sK470: fun_nat_bool > nat ).

tff(func_def_1476,type,
    sK471: fun_nat_bool > nat ).

tff(func_def_1477,type,
    sK472: real > nat ).

tff(func_def_1478,type,
    sK473: real > nat ).

tff(func_def_1479,type,
    sK474: real > nat ).

tff(func_def_1480,type,
    sK475: real > nat ).

tff(func_def_1481,type,
    sK476: real > nat ).

tff(func_def_1482,type,
    sK477: ( real * real ) > real ).

tff(func_def_1483,type,
    sK478: ( real * real ) > real ).

tff(func_def_1484,type,
    sK479: ( real * real ) > real ).

tff(func_def_1485,type,
    sK480: real > real ).

tff(func_def_1486,type,
    sK481: real ).

tff(func_def_1487,type,
    sK482: ( real * real ) > real ).

tff(func_def_1488,type,
    sK483: real > real ).

tff(func_def_1489,type,
    sK484: ( real * real ) > real ).

tff(func_def_1490,type,
    sK485: ( real * real ) > real ).

tff(func_def_1491,type,
    sK486: complex > real ).

tff(func_def_1492,type,
    sK487: real > nat ).

tff(func_def_1493,type,
    sK488: real > nat ).

tff(func_def_1494,type,
    sK489: real > nat ).

tff(func_def_1495,type,
    sK490: real > real ).

tff(func_def_1496,type,
    sK491: real > real ).

tff(func_def_1497,type,
    sK492: ( nat * nat ) > nat ).

tff(func_def_1498,type,
    sK493: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1499,type,
    sK494: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1500,type,
    sK495: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1501,type,
    sK496: fun_nat_fun_nat_bool > nat ).

tff(func_def_1502,type,
    sK497: fun_nat_fun_nat_bool > nat ).

tff(func_def_1503,type,
    sK498: fun_nat_fun_nat_bool > nat ).

tff(func_def_1504,type,
    sK499: ( nat * nat * nat ) > nat ).

tff(func_def_1505,type,
    sK500: ( nat * nat * nat ) > nat ).

tff(func_def_1506,type,
    sK501: ( nat * nat * nat ) > nat ).

tff(func_def_1507,type,
    sK502: ( nat * nat * nat ) > nat ).

tff(func_def_1508,type,
    sK503: ( nat * nat * nat ) > nat ).

tff(func_def_1509,type,
    sK504: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1510,type,
    sK505: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1511,type,
    sK506: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1512,type,
    sK507: ( nat * nat ) > nat ).

tff(func_def_1513,type,
    sK508: ( nat * nat ) > nat ).

tff(func_def_1514,type,
    sK509: ( nat * nat ) > nat ).

tff(func_def_1515,type,
    sK510: ( nat * nat ) > nat ).

tff(func_def_1516,type,
    sK511: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1517,type,
    sK512: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1518,type,
    sK513: fun_nat_bool > nat ).

tff(func_def_1519,type,
    sK514: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1520,type,
    sK515: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1521,type,
    sK516: fun_nat_fun_nat_bool > nat ).

tff(func_def_1522,type,
    sK517: fun_nat_fun_nat_bool > nat ).

tff(func_def_1523,type,
    sK518: fun_nat_fun_nat_bool > nat ).

tff(func_def_1524,type,
    sK519: fun_nat_fun_nat_bool > nat ).

tff(func_def_1525,type,
    sK520: fun_nat_rat > nat ).

tff(func_def_1526,type,
    sK521: fun_nat_rat > nat ).

tff(func_def_1527,type,
    sK522: fun_nat_rat > nat ).

tff(func_def_1528,type,
    sK523: fun_nat_rat > nat ).

tff(func_def_1529,type,
    sK524: fun_nat_rat > nat ).

tff(func_def_1530,type,
    sK525: fun_nat_rat > nat ).

tff(func_def_1531,type,
    sK526: fun_nat_rat > nat ).

tff(func_def_1532,type,
    sK527: fun_nat_rat > nat ).

tff(func_def_1533,type,
    sK528: nat > nat ).

tff(func_def_1534,type,
    sK529: nat > nat ).

tff(func_def_1535,type,
    sK530: nat > nat ).

tff(func_def_1536,type,
    sK531: nat > nat ).

tff(func_def_1537,type,
    sK532: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1538,type,
    sK533: fun_nat_bool > nat ).

tff(func_def_1539,type,
    sK534: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1540,type,
    sK535: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1541,type,
    sK536: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1542,type,
    sK537: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1543,type,
    sK538: fun_nat_int > nat ).

tff(func_def_1544,type,
    sK539: fun_nat_nat > nat ).

tff(func_def_1545,type,
    sK540: fun_nat_rat > nat ).

tff(func_def_1546,type,
    sK541: fun_nat_int > nat ).

tff(func_def_1547,type,
    sK542: fun_nat_nat > nat ).

tff(func_def_1548,type,
    sK543: fun_nat_rat > nat ).

tff(func_def_1549,type,
    sK544: nat > nat ).

tff(func_def_1550,type,
    sK545: fun_nat_bool > nat ).

tff(func_def_1551,type,
    sK546: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1552,type,
    sK547: fun_nat_fun_nat_bool > nat ).

tff(func_def_1553,type,
    sK548: fun_nat_fun_nat_bool > nat ).

tff(func_def_1554,type,
    sK549: fun_nat_fun_nat_bool > nat ).

tff(func_def_1555,type,
    sK550: fun_nat_fun_nat_bool > nat ).

tff(func_def_1556,type,
    sK551: fun_nat_fun_nat_bool > nat ).

tff(func_def_1557,type,
    sK552: fun_nat_nat > nat ).

tff(func_def_1558,type,
    sK553: fun_nat_nat > nat ).

tff(func_def_1559,type,
    sK554: ( nat * nat ) > nat ).

tff(func_def_1560,type,
    sK555: ( nat * nat ) > nat ).

tff(func_def_1561,type,
    sK556: fun_nat_nat > nat ).

tff(func_def_1562,type,
    sK557: fun_nat_nat > nat ).

tff(func_def_1563,type,
    sK558: ( nat * nat ) > nat ).

tff(func_def_1564,type,
    sK559: ( nat * nat ) > nat ).

tff(func_def_1565,type,
    sK560: fun_nat_bool > nat ).

tff(func_def_1566,type,
    sK561: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1567,type,
    sK562: ( nat * nat ) > nat ).

tff(func_def_1568,type,
    sK563: ( nat * nat ) > nat ).

tff(func_def_1569,type,
    sK564: fun_nat_fun_nat_bool > nat ).

tff(func_def_1570,type,
    sK565: fun_nat_fun_nat_bool > nat ).

tff(func_def_1571,type,
    sK566: fun_nat_fun_nat_bool > nat ).

tff(func_def_1572,type,
    sK567: fun_nat_fun_nat_bool > nat ).

tff(func_def_1573,type,
    sK568: fun_nat_fun_nat_bool > nat ).

tff(func_def_1574,type,
    sK569: fun_nat_bool > nat ).

tff(func_def_1575,type,
    sK570: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1576,type,
    sK571: fun_nat_bool > nat ).

tff(func_def_1577,type,
    sK572: fun_nat_bool > nat ).

tff(func_def_1578,type,
    sK573: nat > nat ).

tff(func_def_1579,type,
    sK574: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1580,type,
    sK575: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1581,type,
    sK576: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1582,type,
    sK577: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1583,type,
    sK578: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1584,type,
    sK579: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1585,type,
    sK580: nat > nat ).

tff(func_def_1586,type,
    sK581: nat > nat ).

tff(func_def_1587,type,
    sK582: nat > nat ).

tff(func_def_1588,type,
    sK583: nat > nat ).

tff(func_def_1589,type,
    sK584: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1590,type,
    sK585: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1591,type,
    sK586: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1592,type,
    sK587: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1593,type,
    sK588: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1594,type,
    sK589: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1595,type,
    sK590: nat > nat ).

tff(func_def_1596,type,
    sK591: nat > nat ).

tff(func_def_1597,type,
    sK592: nat > nat ).

tff(func_def_1598,type,
    sK593: nat > nat ).

tff(func_def_1599,type,
    sK594: fun_nat_bool > nat ).

tff(func_def_1600,type,
    sK595: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1601,type,
    sK596: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1602,type,
    sK597: nat > nat ).

tff(func_def_1603,type,
    sK598: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1604,type,
    sK599: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1605,type,
    sK600: nat > nat ).

tff(func_def_1606,type,
    sK601: ( nat * nat ) > nat ).

tff(func_def_1607,type,
    sK602: fun_nat_bool > nat ).

tff(func_def_1608,type,
    sK603: fun_nat_bool > nat ).

tff(func_def_1609,type,
    sK604: fun_nat_fun_nat_bool > nat ).

tff(func_def_1610,type,
    sK605: fun_nat_fun_nat_bool > nat ).

tff(func_def_1611,type,
    sK606: fun_nat_fun_nat_bool > nat ).

tff(func_def_1612,type,
    sK607: fun_nat_fun_nat_bool > nat ).

tff(func_def_1613,type,
    sK608: fun_nat_bool > nat ).

tff(func_def_1614,type,
    sK609: fun_nat_nat > nat ).

tff(func_def_1615,type,
    sK610: fun_nat_nat > nat ).

tff(func_def_1616,type,
    sK611: ( nat * nat ) > nat ).

tff(func_def_1617,type,
    sK612: ( nat * nat ) > nat ).

tff(func_def_1618,type,
    sK613: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1619,type,
    sK614: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1620,type,
    sK615: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1621,type,
    sK616: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1622,type,
    sK617: ( nat * nat ) > nat ).

tff(func_def_1623,type,
    sK618: fun_nat_fun_nat_bool > nat ).

tff(func_def_1624,type,
    sK619: fun_nat_fun_nat_bool > nat ).

tff(func_def_1625,type,
    sK620: fun_nat_fun_nat_bool > nat ).

tff(func_def_1626,type,
    sK621: fun_nat_fun_nat_bool > nat ).

tff(func_def_1627,type,
    sK622: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1628,type,
    sK623: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1629,type,
    sK624: fun_nat_bool > nat ).

tff(func_def_1630,type,
    sK625: fun_nat_bool > nat ).

tff(func_def_1631,type,
    sK626: fun_nat_int > nat ).

tff(func_def_1632,type,
    sK627: fun_nat_int > nat ).

tff(func_def_1633,type,
    sK628: ( nat * nat ) > nat ).

tff(func_def_1634,type,
    sK629: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1635,type,
    sK630: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1636,type,
    sK631: ( nat * nat ) > nat ).

tff(func_def_1637,type,
    sK632: ( nat * nat ) > nat ).

tff(func_def_1638,type,
    sK633: ( nat * nat ) > nat ).

tff(func_def_1639,type,
    sK634: ( nat * nat ) > nat ).

tff(func_def_1640,type,
    sK635: ( nat * nat ) > nat ).

tff(func_def_1641,type,
    sK636: ( nat * nat ) > nat ).

tff(func_def_1642,type,
    sK637: ( nat * nat ) > nat ).

tff(func_def_1643,type,
    sK638: ( nat * nat ) > nat ).

tff(func_def_1644,type,
    sK639: ( nat * nat ) > nat ).

tff(func_def_1645,type,
    sK640: ( nat * nat ) > nat ).

tff(func_def_1646,type,
    sK641: ( nat * nat * nat ) > nat ).

tff(func_def_1647,type,
    sK642: ( nat * nat * nat ) > nat ).

tff(func_def_1648,type,
    sK643: ( nat * nat ) > nat ).

tff(func_def_1649,type,
    sK644: ( nat * nat ) > nat ).

tff(func_def_1650,type,
    sK645: ( nat * nat * nat ) > nat ).

tff(func_def_1651,type,
    sK646: ( nat * nat * nat ) > nat ).

tff(func_def_1652,type,
    sK647: ( nat * nat * nat ) > nat ).

tff(func_def_1653,type,
    sK648: ( nat * nat * nat ) > nat ).

tff(func_def_1654,type,
    sK649: fun_nat_fun_nat_bool > nat ).

tff(func_def_1655,type,
    sK650: fun_nat_fun_nat_bool > nat ).

tff(func_def_1656,type,
    sK651: fun_nat_fun_nat_bool > nat ).

tff(func_def_1657,type,
    sK652: fun_nat_fun_nat_bool > nat ).

tff(func_def_1658,type,
    sK653: fun_nat_fun_nat_bool > nat ).

tff(func_def_1659,type,
    sK654: fun_nat_bool > nat ).

tff(func_def_1660,type,
    sK655: ( nat * nat ) > nat ).

tff(func_def_1661,type,
    sK656: ( nat * nat ) > nat ).

tff(func_def_1662,type,
    sK657: nat > nat ).

tff(func_def_1663,type,
    sK658: nat > nat ).

tff(func_def_1664,type,
    sK659: nat > nat ).

tff(func_def_1665,type,
    sK660: nat > nat ).

tff(func_def_1666,type,
    sK661: fun_nat_rat > nat ).

tff(func_def_1667,type,
    sK662: fun_nat_rat > nat ).

tff(func_def_1668,type,
    sK663: fun_nat_rat > nat ).

tff(func_def_1669,type,
    sK664: fun_nat_rat > nat ).

tff(func_def_1670,type,
    sK665: fun_nat_rat > nat ).

tff(func_def_1671,type,
    sK666: fun_nat_rat > nat ).

tff(func_def_1672,type,
    sK667: ( nat * nat ) > nat ).

tff(func_def_1673,type,
    sK668: ( nat * nat ) > nat ).

tff(func_def_1674,type,
    sK669: ( nat * nat ) > nat ).

tff(func_def_1675,type,
    sK670: fun_nat_rat > nat ).

tff(func_def_1676,type,
    sK671: fun_nat_rat > nat ).

tff(func_def_1677,type,
    sK672: nat > nat ).

tff(func_def_1678,type,
    sK673: nat > nat ).

tff(func_def_1679,type,
    sK674: int > int ).

tff(func_def_1680,type,
    sK675: ( int * int ) > int ).

tff(func_def_1681,type,
    sK676: int > int ).

tff(func_def_1682,type,
    sK677: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1683,type,
    sK678: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1684,type,
    sK679: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1685,type,
    sK680: nat > list_VEBT_VEBT ).

tff(func_def_1686,type,
    sK681: produc9072475918466114483BT_nat > nat ).

tff(func_def_1687,type,
    sK682: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1688,type,
    sK683: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1689,type,
    sK684: produc9072475918466114483BT_nat > nat ).

tff(func_def_1690,type,
    sK685: produc9072475918466114483BT_nat > nat ).

tff(func_def_1691,type,
    sK686: produc9072475918466114483BT_nat > nat ).

tff(func_def_1692,type,
    sK687: produc9072475918466114483BT_nat > nat ).

tff(func_def_1693,type,
    sK688: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1694,type,
    sK689: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1695,type,
    sK690: produc9072475918466114483BT_nat > nat ).

tff(func_def_1696,type,
    sK691: produc9072475918466114483BT_nat > nat ).

tff(func_def_1697,type,
    sK692: produc9072475918466114483BT_nat > nat ).

tff(func_def_1698,type,
    sK693: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1699,type,
    sK694: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1700,type,
    sK695: produc9072475918466114483BT_nat > nat ).

tff(func_def_1701,type,
    sK696: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1702,type,
    sK697: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1703,type,
    sK698: produc9072475918466114483BT_nat > nat ).

tff(func_def_1704,type,
    sK699: produc9072475918466114483BT_nat > bool ).

tff(func_def_1705,type,
    sK700: produc9072475918466114483BT_nat > bool ).

tff(func_def_1706,type,
    sK701: produc9072475918466114483BT_nat > nat ).

tff(func_def_1707,type,
    sK702: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1708,type,
    sK703: list_VEBT_VEBT > nat ).

tff(func_def_1709,type,
    sK704: vEBT_VEBT > nat ).

tff(func_def_1710,type,
    sK705: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1711,type,
    sK706: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1712,type,
    sK707: list_VEBT_VEBT > nat ).

tff(func_def_1713,type,
    sK708: vEBT_VEBT > nat ).

tff(func_def_1714,type,
    sK709: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1715,type,
    sK710: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_1716,type,
    sK711: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1717,type,
    sK712: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1718,type,
    sK713: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1719,type,
    sK714: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1720,type,
    sK715: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1721,type,
    sK716: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1722,type,
    sK717: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_1723,type,
    sK718: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_1724,type,
    sK719: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1725,type,
    sK720: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1726,type,
    sK721: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1727,type,
    sK722: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1728,type,
    sK723: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1729,type,
    sK724: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1730,type,
    sK725: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1731,type,
    sK726: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1732,type,
    sK727: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1733,type,
    sK728: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1734,type,
    sK729: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1735,type,
    sK730: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1736,type,
    sK731: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1737,type,
    sK732: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1738,type,
    sK733: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1739,type,
    sK734: ( list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1740,type,
    sK735: ( list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1741,type,
    sK736: ( list_VEBT_VEBT * list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1742,type,
    sK737: ( list_VEBT_VEBT * list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1743,type,
    sK738: ( list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1744,type,
    sK739: ( list_VEBT_VEBT * fun_VEBT_VEBT_nat * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1745,type,
    sK740: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT * fun_VEBT_VEBT_nat ) > vEBT_VEBT ).

tff(func_def_1746,type,
    sK741: ( list_VEBT_VEBT * fun_VEBT_VEBT_nat * nat ) > vEBT_VEBT ).

tff(func_def_1747,type,
    sK742: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1748,type,
    sK743: int > nat ).

tff(func_def_1749,type,
    sK744: int > nat ).

tff(func_def_1750,type,
    sK745: int > nat ).

tff(func_def_1751,type,
    sK746: int > nat ).

tff(func_def_1752,type,
    sK747: fun_int_bool > nat ).

tff(func_def_1753,type,
    sK748: fun_int_bool > nat ).

tff(func_def_1754,type,
    sK749: int > nat ).

tff(func_def_1755,type,
    sK750: int > nat ).

tff(func_def_1756,type,
    sK751: int > nat ).

tff(func_def_1757,type,
    sK752: int > nat ).

tff(func_def_1758,type,
    sK753: int > nat ).

tff(func_def_1759,type,
    sK754: int > nat ).

tff(func_def_1760,type,
    sK755: int > nat ).

tff(func_def_1761,type,
    sK756: fun_int_fun_int_bool > int ).

tff(func_def_1762,type,
    sK757: fun_int_fun_int_bool > int ).

tff(func_def_1763,type,
    sK758: fun_int_fun_int_bool > int ).

tff(func_def_1764,type,
    sK759: fun_int_fun_int_bool > int ).

tff(func_def_1765,type,
    sK760: fun_int_fun_int_bool > int ).

tff(func_def_1766,type,
    sK761: int > int ).

tff(func_def_1767,type,
    sK762: int > int ).

tff(func_def_1768,type,
    sK763: ( int * int ) > int ).

tff(func_def_1769,type,
    sK764: ( int * int ) > int ).

tff(func_def_1770,type,
    sK765: ( int * int ) > int ).

tff(func_def_1771,type,
    sK766: ( int * int ) > int ).

tff(func_def_1772,type,
    sK767: int > int ).

tff(func_def_1773,type,
    sK768: int > int ).

tff(func_def_1774,type,
    sK769: int > int ).

tff(func_def_1775,type,
    sK770: int > int ).

tff(func_def_1776,type,
    sK771: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1777,type,
    sK772: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1778,type,
    sK773: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1779,type,
    sK774: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1780,type,
    sK775: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1781,type,
    sK776: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1782,type,
    sK777: int > int ).

tff(func_def_1783,type,
    sK778: int > int ).

tff(func_def_1784,type,
    sK779: int > int ).

tff(func_def_1785,type,
    sK780: int > int ).

tff(func_def_1786,type,
    sK781: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1787,type,
    sK782: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1788,type,
    sK783: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1789,type,
    sK784: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1790,type,
    sK785: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1791,type,
    sK786: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1792,type,
    sK787: int > int ).

tff(func_def_1793,type,
    sK788: int > int ).

tff(func_def_1794,type,
    sK789: int > int ).

tff(func_def_1795,type,
    sK790: int > int ).

tff(func_def_1796,type,
    sK791: ( int * int ) > nat ).

tff(func_def_1797,type,
    sK792: int > nat ).

tff(func_def_1798,type,
    sK793: int > nat ).

tff(func_def_1799,type,
    sK794: fun_int_fun_int_bool > int ).

tff(func_def_1800,type,
    sK795: fun_int_fun_int_bool > int ).

tff(func_def_1801,type,
    sK796: fun_int_fun_int_bool > int ).

tff(func_def_1802,type,
    sK797: fun_int_fun_int_bool > int ).

tff(func_def_1803,type,
    sK798: fun_int_fun_int_bool > int ).

tff(func_def_1804,type,
    sK799: ( int * int ) > nat ).

tff(func_def_1805,type,
    sK800: int > nat ).

tff(func_def_1806,type,
    sK801: int > nat ).

tff(func_def_1807,type,
    sK802: ( list_real * fun_re7681423839302404990l_real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_1808,type,
    sK803: ( list_real * fun_re7681423839302404990l_real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_1809,type,
    sK804: ( fun_real_real * real * set_real ) > real ).

tff(func_def_1810,type,
    sK805: ( fun_real_real * real * set_real ) > real ).

tff(func_def_1811,type,
    sK806: ( fun_real_real * real * set_real ) > real ).

tff(func_def_1812,type,
    sK807: ( fun_real_real * real * set_real ) > real ).

tff(func_def_1813,type,
    sK808: set_real > real ).

tff(func_def_1814,type,
    sK809: ( set_real * real ) > real ).

tff(func_def_1815,type,
    sK810: ( set_real * real ) > real ).

tff(func_def_1816,type,
    sK811: ( real * list_real ) > nat ).

tff(func_def_1817,type,
    sK812: ( list_real * set_real ) > real ).

tff(func_def_1818,type,
    sK813: ( list_real * fun_real_bool ) > nat ).

tff(func_def_1819,type,
    sK814: ( list_real * fun_real_bool ) > real ).

tff(func_def_1820,type,
    sK815: ( real * fun_real_real ) > real ).

tff(func_def_1821,type,
    sK816: ( real * real * fun_real_real ) > real ).

tff(func_def_1822,type,
    sK817: ( real * real * fun_real_real ) > real ).

tff(func_def_1823,type,
    sK818: ( fun_real_real * real ) > real ).

tff(func_def_1824,type,
    sK819: ( fun_real_real * real ) > real ).

tff(func_def_1825,type,
    sK820: ( fun_real_real * real ) > real ).

tff(func_def_1826,type,
    sK821: fun_real_real > real ).

tff(func_def_1827,type,
    sK822: ( fun_real_real * real ) > real ).

tff(func_def_1828,type,
    sK823: ( fun_real_real * real ) > real ).

tff(func_def_1829,type,
    sK824: ( fun_real_real * real ) > real ).

tff(func_def_1830,type,
    sK825: ( fun_real_real * real ) > real ).

tff(func_def_1831,type,
    sK826: ( fun_real_real * real * real ) > real ).

tff(func_def_1832,type,
    sK827: ( fun_real_real * real * real ) > real ).

tff(func_def_1833,type,
    sK828: ( fun_real_real * real * real ) > real ).

tff(func_def_1834,type,
    sK829: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_1835,type,
    sK830: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_1836,type,
    sK831: ( real * real * fun_real_real ) > real ).

tff(func_def_1837,type,
    sK832: ( real * real * fun_real_real ) > real ).

tff(func_def_1838,type,
    sK833: ( fun_real_bool * nat * real ) > real ).

tff(func_def_1839,type,
    sK834: ( fun_real_real * real ) > real ).

tff(func_def_1840,type,
    sK835: ( fun_real_real * real ) > real ).

tff(func_def_1841,type,
    sK836: ( fun_real_real * real ) > real ).

tff(func_def_1842,type,
    sK837: real > real ).

tff(func_def_1843,type,
    sK838: real > real ).

tff(func_def_1844,type,
    sK839: real > real ).

tff(func_def_1845,type,
    sK840: real > real ).

tff(func_def_1846,type,
    sK841: real > real ).

tff(func_def_1847,type,
    sK842: real > real ).

tff(func_def_1848,type,
    sK843: real > real ).

tff(func_def_1849,type,
    sK844: complex > real ).

tff(func_def_1850,type,
    sK845: complex > real ).

tff(func_def_1851,type,
    sK846: ( fun_nat_bool * int ) > nat ).

tff(func_def_1852,type,
    sK847: fun_nat_bool > int ).

tff(func_def_1853,type,
    sK848: fun_nat_bool > nat ).

tff(func_def_1854,type,
    sK849: fun_nat_bool > nat ).

tff(func_def_1855,type,
    sK850: fun_nat_bool > int ).

tff(func_def_1856,type,
    sK851: ( fun_int_bool * int ) > int ).

tff(func_def_1857,type,
    sK852: ( fun_int_bool * int ) > int ).

tff(func_def_1858,type,
    sK853: ( int * int ) > int ).

tff(func_def_1859,type,
    sK854: ( int * int ) > int ).

tff(func_def_1860,type,
    sK855: ( int * int * int ) > int ).

tff(func_def_1861,type,
    sK856: ( int * int * int ) > int ).

tff(func_def_1862,type,
    sK857: ( int * int * int ) > int ).

tff(func_def_1863,type,
    sK858: ( int * int * int ) > int ).

tff(func_def_1864,type,
    sK859: ( fun_int_bool * int * int ) > int ).

tff(func_def_1865,type,
    sK860: ( fun_int_bool * int * int ) > int ).

tff(func_def_1866,type,
    sK861: ( fun_int_bool * int * int ) > int ).

tff(func_def_1867,type,
    sK862: ( fun_int_bool * int * int ) > int ).

tff(func_def_1868,type,
    sK863: ( int * int * int ) > int ).

tff(func_def_1869,type,
    sK864: fun_real_int > real ).

tff(func_def_1870,type,
    sK865: fun_real_int > real ).

tff(func_def_1871,type,
    sK866: fun_real_int > real ).

tff(func_def_1872,type,
    sK867: fun_real_int > real ).

tff(func_def_1873,type,
    sK868: fun_real_int > real ).

tff(func_def_1874,type,
    sK869: fun_real_int > real ).

tff(func_def_1875,type,
    sK870: ( int * int ) > int ).

tff(func_def_1876,type,
    sK871: ( int * int ) > int ).

tff(func_def_1877,type,
    sK872: ( int * int ) > nat ).

tff(func_def_1878,type,
    sK873: ( fun_int_bool * rat ) > int ).

tff(func_def_1879,type,
    sK874: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1880,type,
    sK875: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1881,type,
    sK876: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1882,type,
    sK877: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1883,type,
    sK878: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1884,type,
    sK879: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1885,type,
    sK880: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1886,type,
    sK881: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1887,type,
    sK882: ( fun_int_bool * rat ) > int ).

tff(func_def_1888,type,
    sK883: rat > int ).

tff(func_def_1889,type,
    sK884: rat > int ).

tff(func_def_1890,type,
    sK885: rat > int ).

tff(func_def_1891,type,
    sK886: rat > int ).

tff(func_def_1892,type,
    sK887: rat > int ).

tff(func_def_1893,type,
    sK888: rat > int ).

tff(func_def_1894,type,
    sK889: rat > int ).

tff(func_def_1895,type,
    sK890: fun_int_rat > int ).

tff(func_def_1896,type,
    sK891: fun_int_rat > int ).

tff(func_def_1897,type,
    sK892: fun_int_rat > int ).

tff(func_def_1898,type,
    sK893: fun_int_rat > int ).

tff(func_def_1899,type,
    sK894: fun_int_rat > int ).

tff(func_def_1900,type,
    sK895: fun_int_rat > int ).

tff(func_def_1901,type,
    sK896: fun_int_rat > int ).

tff(func_def_1902,type,
    sK897: fun_int_rat > int ).

tff(func_def_1903,type,
    sK898: fun_rat_rat > rat ).

tff(func_def_1904,type,
    sK899: fun_rat_rat > rat ).

tff(func_def_1905,type,
    sK900: fun_rat_rat > rat ).

tff(func_def_1906,type,
    sK901: fun_rat_rat > rat ).

tff(func_def_1907,type,
    sK902: fun_rat_rat > rat ).

tff(func_def_1908,type,
    sK903: fun_rat_rat > rat ).

tff(func_def_1909,type,
    sK904: fun_rat_rat > rat ).

tff(func_def_1910,type,
    sK905: fun_rat_rat > rat ).

tff(func_def_1911,type,
    sK906: fun_rat_rat > rat ).

tff(func_def_1912,type,
    sK907: fun_rat_rat > rat ).

tff(func_def_1913,type,
    sK908: fun_rat_rat > rat ).

tff(func_def_1914,type,
    sK909: fun_rat_rat > rat ).

tff(func_def_1915,type,
    sK910: fun_rat_rat > rat ).

tff(func_def_1916,type,
    sK911: fun_rat_rat > rat ).

tff(func_def_1917,type,
    sK912: fun_rat_rat > rat ).

tff(func_def_1918,type,
    sK913: fun_rat_rat > rat ).

tff(func_def_1919,type,
    sK914: fun_rat_rat > rat ).

tff(func_def_1920,type,
    sK915: fun_rat_rat > rat ).

tff(func_def_1921,type,
    sK916: fun_rat_rat > rat ).

tff(func_def_1922,type,
    sK917: fun_rat_rat > rat ).

tff(func_def_1923,type,
    sK918: fun_rat_rat > rat ).

tff(func_def_1924,type,
    sK919: fun_rat_rat > rat ).

tff(func_def_1925,type,
    sK920: fun_rat_rat > rat ).

tff(func_def_1926,type,
    sK921: fun_rat_rat > rat ).

tff(func_def_1927,type,
    sK922: ( rat * rat ) > rat ).

tff(func_def_1928,type,
    sK923: fun_rat_fun_rat_bool > rat ).

tff(func_def_1929,type,
    sK924: rat > rat ).

tff(func_def_1930,type,
    sK925: rat > rat ).

tff(func_def_1931,type,
    sK926: ( rat * rat ) > rat ).

tff(func_def_1932,type,
    sK927: fun_num_rat > num ).

tff(func_def_1933,type,
    sK928: fun_num_rat > num ).

tff(func_def_1934,type,
    sK929: fun_num_rat > num ).

tff(func_def_1935,type,
    sK930: fun_num_rat > num ).

tff(func_def_1936,type,
    sK931: fun_num_rat > num ).

tff(func_def_1937,type,
    sK932: fun_num_rat > num ).

tff(func_def_1938,type,
    sK933: fun_num_rat > num ).

tff(func_def_1939,type,
    sK934: fun_num_rat > num ).

tff(func_def_1940,type,
    sK935: fun_num_rat > num ).

tff(func_def_1941,type,
    sK936: fun_num_rat > num ).

tff(func_def_1942,type,
    sK937: fun_num_rat > num ).

tff(func_def_1943,type,
    sK938: fun_num_rat > num ).

tff(func_def_1944,type,
    sK939: fun_num_rat > num ).

tff(func_def_1945,type,
    sK940: fun_num_rat > num ).

tff(func_def_1946,type,
    sK941: fun_num_rat > num ).

tff(func_def_1947,type,
    sK942: fun_num_rat > num ).

tff(func_def_1948,type,
    sK943: fun_num_rat > num ).

tff(func_def_1949,type,
    sK944: fun_num_rat > num ).

tff(func_def_1950,type,
    sK945: code_integer > code_integer ).

tff(func_def_1951,type,
    sK946: code_integer > code_integer ).

tff(func_def_1952,type,
    sK947: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1953,type,
    sK948: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1954,type,
    sK949: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1955,type,
    sK950: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1956,type,
    sK951: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1957,type,
    sK952: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1958,type,
    sK953: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1959,type,
    sK954: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1960,type,
    sK955: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1961,type,
    sK956: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1962,type,
    sK957: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1963,type,
    sK958: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1964,type,
    sK959: fun_num_real > num ).

tff(func_def_1965,type,
    sK960: fun_num_real > num ).

tff(func_def_1966,type,
    sK961: fun_num_num > num ).

tff(func_def_1967,type,
    sK962: fun_num_num > num ).

tff(func_def_1968,type,
    sK963: fun_num_num > num ).

tff(func_def_1969,type,
    sK964: fun_num_num > num ).

tff(func_def_1970,type,
    sK965: fun_num_real > num ).

tff(func_def_1971,type,
    sK966: fun_num_real > num ).

tff(func_def_1972,type,
    sK967: fun_num_real > num ).

tff(func_def_1973,type,
    sK968: fun_num_real > num ).

tff(func_def_1974,type,
    sK969: fun_num_fun_num_bool > num ).

tff(func_def_1975,type,
    sK970: fun_num_fun_num_bool > num ).

tff(func_def_1976,type,
    sK971: fun_num_fun_num_bool > num ).

tff(func_def_1977,type,
    sK972: fun_num_fun_num_bool > num ).

tff(func_def_1978,type,
    sK973: fun_num_fun_num_bool > num ).

tff(func_def_1979,type,
    sK974: num > num ).

tff(func_def_1980,type,
    sK975: num > num ).

tff(func_def_1981,type,
    sK976: num > num ).

tff(func_def_1982,type,
    sK977: num > num ).

tff(func_def_1983,type,
    sK978: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1984,type,
    sK979: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1985,type,
    sK980: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1986,type,
    sK981: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1987,type,
    sK982: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1988,type,
    sK983: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1989,type,
    sK984: num > num ).

tff(func_def_1990,type,
    sK985: num > num ).

tff(func_def_1991,type,
    sK986: num > num ).

tff(func_def_1992,type,
    sK987: num > num ).

tff(func_def_1993,type,
    sK988: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1994,type,
    sK989: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1995,type,
    sK990: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1996,type,
    sK991: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1997,type,
    sK992: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1998,type,
    sK993: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1999,type,
    sK994: num > num ).

tff(func_def_2000,type,
    sK995: num > num ).

tff(func_def_2001,type,
    sK996: num > num ).

tff(func_def_2002,type,
    sK997: num > num ).

tff(func_def_2003,type,
    sK998: fun_num_int > num ).

tff(func_def_2004,type,
    sK999: fun_num_int > num ).

tff(func_def_2005,type,
    sK1000: fun_num_nat > num ).

tff(func_def_2006,type,
    sK1001: fun_num_nat > num ).

tff(func_def_2007,type,
    sK1002: fun_num_real > num ).

tff(func_def_2008,type,
    sK1003: fun_num_real > num ).

tff(func_def_2009,type,
    sK1004: fun_num_int > num ).

tff(func_def_2010,type,
    sK1005: fun_num_int > num ).

tff(func_def_2011,type,
    sK1006: fun_num_nat > num ).

tff(func_def_2012,type,
    sK1007: fun_num_nat > num ).

tff(func_def_2013,type,
    sK1008: fun_num_real > num ).

tff(func_def_2014,type,
    sK1009: fun_num_real > num ).

tff(func_def_2015,type,
    sK1010: fun_num_fun_num_bool > num ).

tff(func_def_2016,type,
    sK1011: fun_num_fun_num_bool > num ).

tff(func_def_2017,type,
    sK1012: fun_num_fun_num_bool > num ).

tff(func_def_2018,type,
    sK1013: fun_num_fun_num_bool > num ).

tff(func_def_2019,type,
    sK1014: fun_num_nat > num ).

tff(func_def_2020,type,
    sK1015: fun_num_nat > num ).

tff(func_def_2021,type,
    sK1016: fun_num_num > num ).

tff(func_def_2022,type,
    sK1017: fun_num_num > num ).

tff(func_def_2023,type,
    sK1018: fun_num_int > num ).

tff(func_def_2024,type,
    sK1019: fun_num_int > num ).

tff(func_def_2025,type,
    sK1020: fun_num_nat > num ).

tff(func_def_2026,type,
    sK1021: fun_num_nat > num ).

tff(func_def_2027,type,
    sK1022: fun_num_num > num ).

tff(func_def_2028,type,
    sK1023: fun_num_num > num ).

tff(func_def_2029,type,
    sK1024: fun_num_int > num ).

tff(func_def_2030,type,
    sK1025: fun_num_int > num ).

tff(func_def_2031,type,
    sK1026: fun_num_nat > num ).

tff(func_def_2032,type,
    sK1027: fun_num_nat > num ).

tff(func_def_2033,type,
    sK1028: fun_num_num > num ).

tff(func_def_2034,type,
    sK1029: fun_num_num > num ).

tff(func_def_2035,type,
    sK1030: fun_num_int > num ).

tff(func_def_2036,type,
    sK1031: fun_num_int > num ).

tff(func_def_2037,type,
    sK1032: fun_num_nat > num ).

tff(func_def_2038,type,
    sK1033: fun_num_nat > num ).

tff(func_def_2039,type,
    sK1034: fun_num_num > num ).

tff(func_def_2040,type,
    sK1035: fun_num_num > num ).

tff(func_def_2041,type,
    sK1036: ( complex * fun_complex_bool ) > complex ).

tff(func_def_2042,type,
    sK1037: ( complex * fun_complex_bool ) > complex ).

tff(func_def_2043,type,
    sK1038: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2044,type,
    sK1039: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2045,type,
    sK1040: ( complex * fun_complex_bool ) > complex ).

tff(func_def_2046,type,
    sK1041: ( complex * fun_complex_bool ) > complex ).

tff(func_def_2047,type,
    sK1042: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2048,type,
    sK1043: ( fun_complex_bool * complex ) > complex ).

tff(func_def_2049,type,
    sK1044: rat > nat ).

tff(func_def_2050,type,
    sK1045: rat > nat ).

tff(func_def_2051,type,
    sK1046: ( rat * rat ) > nat ).

tff(func_def_2052,type,
    sK1047: rat > nat ).

tff(func_def_2053,type,
    sK1048: rat > nat ).

tff(func_def_2054,type,
    sK1049: rat > nat ).

tff(func_def_2055,type,
    sK1050: ( rat * rat ) > rat ).

tff(func_def_2056,type,
    sK1051: ( rat * rat ) > rat ).

tff(func_def_2057,type,
    sK1052: ( rat * rat ) > rat ).

tff(func_def_2058,type,
    sK1053: ( rat * rat * rat ) > rat ).

tff(func_def_2059,type,
    sK1054: ( rat * rat * rat ) > rat ).

tff(func_def_2060,type,
    sK1055: fun_rat_fun_rat_bool > rat ).

tff(func_def_2061,type,
    sK1056: fun_rat_fun_rat_bool > rat ).

tff(func_def_2062,type,
    sK1057: fun_rat_fun_rat_bool > rat ).

tff(func_def_2063,type,
    sK1058: fun_rat_fun_rat_bool > rat ).

tff(func_def_2064,type,
    sK1059: rat > rat ).

tff(func_def_2065,type,
    sK1060: rat > rat ).

tff(func_def_2066,type,
    sK1061: rat > rat ).

tff(func_def_2067,type,
    sK1062: rat > rat ).

tff(func_def_2068,type,
    sK1063: fun_rat_fun_rat_bool > rat ).

tff(func_def_2069,type,
    sK1064: fun_rat_fun_rat_bool > rat ).

tff(func_def_2070,type,
    sK1065: fun_rat_fun_rat_bool > rat ).

tff(func_def_2071,type,
    sK1066: fun_rat_fun_rat_bool > rat ).

tff(func_def_2072,type,
    sK1067: fun_rat_fun_rat_bool > rat ).

tff(func_def_2073,type,
    sK1068: ( rat * rat ) > rat ).

tff(func_def_2074,type,
    sK1069: rat > rat ).

tff(func_def_2075,type,
    sK1070: rat > rat ).

tff(func_def_2076,type,
    sK1071: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2077,type,
    sK1072: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2078,type,
    sK1073: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2079,type,
    sK1074: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2080,type,
    sK1075: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2081,type,
    sK1076: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2082,type,
    sK1077: rat > rat ).

tff(func_def_2083,type,
    sK1078: rat > rat ).

tff(func_def_2084,type,
    sK1079: rat > rat ).

tff(func_def_2085,type,
    sK1080: rat > rat ).

tff(func_def_2086,type,
    sK1081: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2087,type,
    sK1082: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2088,type,
    sK1083: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2089,type,
    sK1084: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2090,type,
    sK1085: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2091,type,
    sK1086: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2092,type,
    sK1087: rat > rat ).

tff(func_def_2093,type,
    sK1088: rat > rat ).

tff(func_def_2094,type,
    sK1089: rat > rat ).

tff(func_def_2095,type,
    sK1090: rat > rat ).

tff(func_def_2096,type,
    sK1091: rat > rat ).

tff(func_def_2097,type,
    sK1092: rat > rat ).

tff(func_def_2098,type,
    sK1093: ( list_nat * fun_VEBT_VEBT_nat ) > list_VEBT_VEBT ).

tff(func_def_2099,type,
    sK1094: ( list_nat * fun_VEBT_VEBT_nat ) > nat ).

tff(func_def_2100,type,
    sK1095: ( fun_VEBT_VEBT_nat * nat ) > vEBT_VEBT ).

tff(func_def_2101,type,
    sK1096: ( list_nat * list_nat ) > nat ).

tff(func_def_2102,type,
    sK1097: list_nat > nat ).

tff(func_def_2103,type,
    sK1098: ( nat * list_nat ) > nat ).

tff(func_def_2104,type,
    sK1099: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2105,type,
    sK1100: ( list_nat * list_nat ) > nat ).

tff(func_def_2106,type,
    sK1101: ( fun_nat_fun_nat_bool * nat ) > nat ).

tff(func_def_2107,type,
    sK1102: ( nat * fun_nat_fun_nat_bool * list_nat ) > nat ).

tff(func_def_2108,type,
    sK1103: ( nat * fun_nat_fun_nat_bool ) > list_nat ).

tff(func_def_2109,type,
    sK1104: ( nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_2110,type,
    sK1105: ( list_nat * list_nat ) > nat ).

tff(func_def_2111,type,
    sK1106: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2112,type,
    sK1107: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2113,type,
    sK1108: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2114,type,
    sK1109: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2115,type,
    sK1110: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2116,type,
    sK1111: produc9072475918466114483BT_nat > nat ).

tff(func_def_2117,type,
    sK1112: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2118,type,
    sK1113: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2119,type,
    sK1114: produc9072475918466114483BT_nat > nat ).

tff(func_def_2120,type,
    sK1115: produc9072475918466114483BT_nat > bool ).

tff(func_def_2121,type,
    sK1116: produc9072475918466114483BT_nat > bool ).

tff(func_def_2122,type,
    sK1117: produc9072475918466114483BT_nat > nat ).

tff(func_def_2123,type,
    sK1118: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2124,type,
    sK1119: produc9072475918466114483BT_nat > nat ).

tff(func_def_2125,type,
    sK1120: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2126,type,
    sK1121: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2127,type,
    sK1122: produc9072475918466114483BT_nat > nat ).

tff(func_def_2128,type,
    sK1123: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2129,type,
    sK1124: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2130,type,
    sK1125: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2131,type,
    sK1126: produc9072475918466114483BT_nat > nat ).

tff(func_def_2132,type,
    sK1127: produc9072475918466114483BT_nat > bool ).

tff(func_def_2133,type,
    sK1128: produc9072475918466114483BT_nat > bool ).

tff(func_def_2134,type,
    sK1129: produc9072475918466114483BT_nat > nat ).

tff(func_def_2135,type,
    sK1130: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2136,type,
    sK1131: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2137,type,
    sK1132: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2138,type,
    sK1133: ( list_nat * fun_nat_nat * nat ) > nat ).

tff(func_def_2139,type,
    sK1134: ( list_nat * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_2140,type,
    sK1135: ( list_nat * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_2141,type,
    sK1136: ( set_real * set_real ) > real ).

tff(func_def_2142,type,
    sK1137: ( set_real * set_real ) > real ).

tff(func_def_2143,type,
    sK1138: ( set_real * set_real ) > real ).

tff(pred_def_1,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_2,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_3,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_4,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_5,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_6,type,
    filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).

tff(pred_def_7,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_8,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_9,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_10,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_11,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_12,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_13,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_14,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_15,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_16,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_17,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_18,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_19,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_20,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_21,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_22,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_23,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_24,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_25,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_26,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_27,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_28,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_29,type,
    ord_le4633831435867229666x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_30,type,
    ord_le5715760110363009508t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_31,type,
    ord_le8840051076831633728t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_32,type,
    ord_le5573776112191778788l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_33,type,
    ord_le1461730252015488778t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > $o ).

tff(pred_def_34,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_35,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_36,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_37,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_38,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_39,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_40,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_41,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_42,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_43,type,
    accp_P4275260045618599050at_nat: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > $o ).

tff(pred_def_44,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_45,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_46,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_47,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_48,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_49,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_50,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_51,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_52,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_53,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_54,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_55,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_56,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_57,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_58,type,
    pp: bool > $o ).

tff(pred_def_59,type,
    sP0: ( fun_re1255401033344146673l_bool * real * real ) > $o ).

tff(pred_def_60,type,
    sP1: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_61,type,
    sP2: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_62,type,
    sP3: ( real * real * num ) > $o ).

tff(pred_def_63,type,
    sP4: ( real * num * real ) > $o ).

tff(pred_def_64,type,
    sP5: ( real * num * real ) > $o ).

tff(pred_def_65,type,
    sP6: ( real * real * num ) > $o ).

tff(pred_def_66,type,
    sP7: ( real * real * real ) > $o ).

tff(pred_def_67,type,
    sP8: ( real * real * real ) > $o ).

tff(pred_def_68,type,
    sP9: ( real * real * num ) > $o ).

tff(pred_def_69,type,
    sP10: ( real * num * real ) > $o ).

tff(pred_def_70,type,
    sP11: ( real * real * real ) > $o ).

tff(pred_def_71,type,
    sP12: ( real * real * real ) > $o ).

tff(pred_def_72,type,
    sP13: ( real * real * num ) > $o ).

tff(pred_def_73,type,
    sP14: ( real * num * real ) > $o ).

tff(pred_def_74,type,
    sP15: ( real * real * real ) > $o ).

tff(pred_def_75,type,
    sP16: ( real * real * real ) > $o ).

tff(pred_def_76,type,
    sP17: ( real * real * real ) > $o ).

tff(pred_def_77,type,
    sP18: ( real * real * real ) > $o ).

tff(pred_def_78,type,
    sP19: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_79,type,
    sP20: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_80,type,
    sP21: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_81,type,
    sP22: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_82,type,
    sP23: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_83,type,
    sP24: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_84,type,
    sP25: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_85,type,
    sP26: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_86,type,
    sP27: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_87,type,
    sP28: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_88,type,
    sP29: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_89,type,
    sP30: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_90,type,
    sP31: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_91,type,
    sP32: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_92,type,
    sP33: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_93,type,
    sP34: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_94,type,
    sP35: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_95,type,
    sP36: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_96,type,
    sP37: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_97,type,
    sP38: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_98,type,
    sP39: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_99,type,
    sP40: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_100,type,
    sP41: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_101,type,
    sP42: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_102,type,
    sP43: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_103,type,
    sP44: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_104,type,
    sP45: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_105,type,
    sP46: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_106,type,
    sP47: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_107,type,
    sP48: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_108,type,
    sP49: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_109,type,
    sP50: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_110,type,
    sP51: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_111,type,
    sP52: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_112,type,
    sP53: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_113,type,
    sP54: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_114,type,
    sP55: ( real * nat * real ) > $o ).

tff(pred_def_115,type,
    sP56: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_116,type,
    sP57: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_117,type,
    sP58: fun_int_bool > $o ).

tff(pred_def_118,type,
    sP59: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_119,type,
    sP60: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_120,type,
    sP61: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_121,type,
    sP62: ( fun_int_bool * int ) > $o ).

tff(pred_def_122,type,
    sP63: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_123,type,
    sP64: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_124,type,
    sP65: ( nat * nat * nat ) > $o ).

tff(pred_def_125,type,
    sP66: ( nat * nat * nat ) > $o ).

tff(pred_def_126,type,
    sP67: ( nat * nat * nat ) > $o ).

tff(pred_def_127,type,
    sP68: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_128,type,
    sP69: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_129,type,
    sP70: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_130,type,
    sP71: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_131,type,
    sP72: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_132,type,
    sP73: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_133,type,
    sP74: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_134,type,
    sP75: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_135,type,
    sP76: ( bool * nat * bool ) > $o ).

tff(pred_def_136,type,
    sP77: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_137,type,
    sP78: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_138,type,
    sP79: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_139,type,
    sP80: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_140,type,
    sP81: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_141,type,
    sP82: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_142,type,
    sP83: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_143,type,
    sP84: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_144,type,
    sP85: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_145,type,
    sP86: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_146,type,
    sP87: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_147,type,
    sP88: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_148,type,
    sP89: ( int * int * int ) > $o ).

tff(pred_def_149,type,
    sP90: ( int * int * int ) > $o ).

tff(pred_def_150,type,
    sP91: ( int * int * int ) > $o ).

tff(pred_def_151,type,
    sP92: ( int * bool * int * bool ) > $o ).

tff(pred_def_152,type,
    sP93: ( bool * int * bool * int ) > $o ).

tff(pred_def_153,type,
    sP94: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_154,type,
    sP95: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_155,type,
    sP96: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_156,type,
    sP97: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_157,type,
    sP98: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_158,type,
    sP99: ( rat * rat * num ) > $o ).

tff(pred_def_159,type,
    sP100: ( rat * num * rat ) > $o ).

tff(pred_def_160,type,
    sP101: ( rat * num * rat ) > $o ).

tff(pred_def_161,type,
    sP102: ( rat * rat * num ) > $o ).

tff(pred_def_162,type,
    sP103: ( rat * rat * rat ) > $o ).

tff(pred_def_163,type,
    sP104: ( rat * rat * rat ) > $o ).

tff(pred_def_164,type,
    sP105: ( rat * rat * num ) > $o ).

tff(pred_def_165,type,
    sP106: ( rat * num * rat ) > $o ).

tff(pred_def_166,type,
    sP107: ( rat * rat * rat ) > $o ).

tff(pred_def_167,type,
    sP108: ( rat * rat * rat ) > $o ).

tff(pred_def_168,type,
    sP109: ( rat * rat * num ) > $o ).

tff(pred_def_169,type,
    sP110: ( rat * num * rat ) > $o ).

tff(pred_def_170,type,
    sP111: ( rat * rat * rat ) > $o ).

tff(pred_def_171,type,
    sP112: ( rat * rat * rat ) > $o ).

tff(pred_def_172,type,
    sP113: ( rat * rat * rat ) > $o ).

tff(pred_def_173,type,
    sP114: ( rat * rat * rat ) > $o ).

tff(pred_def_174,type,
    sP115: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_175,type,
    sP116: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_176,type,
    sP117: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_177,type,
    sP118: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_178,type,
    sP119: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_179,type,
    sP120: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_180,type,
    sP121: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_181,type,
    sP122: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_182,type,
    sP123: ( num * num * num ) > $o ).

tff(pred_def_183,type,
    sP124: ( num * num * num ) > $o ).

tff(pred_def_184,type,
    sP125: ( num * num * num ) > $o ).

tff(pred_def_185,type,
    sP126: ( complex * fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_186,type,
    sP127: ( complex * fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_187,type,
    sP128: ( rat * rat * rat ) > $o ).

tff(pred_def_188,type,
    sP129: ( rat * rat * rat ) > $o ).

tff(pred_def_189,type,
    sP130: ( rat * rat * rat ) > $o ).

tff(pred_def_190,type,
    sP131: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_191,type,
    sP132: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_192,type,
    sP133: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_193,type,
    sP134: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_194,type,
    sP135: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_195,type,
    sP136: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_196,type,
    sP137: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_197,type,
    sP138: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_198,type,
    sP139: ( bool * nat * bool ) > $o ).

tff(pred_def_199,type,
    sP140: ( vEBT_VEBT * nat ) > $o ).

tff(f1,axiom,
    m = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C4_Ohyps_C_I3_J) ).

tff(f2,axiom,
    c = aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit1,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_c__def) ).

tff(f5,axiom,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),na))),aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit1,aa_num_num(bit0,one))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062cnt_A_INode_ANone_Adeg_AtreeList_Asummary_J_A_092_060le_062_A2_A_K_A_I2_A_094_A_In_A_L_An_J_A_N_A15_A_P_A10_J_092_060close_062) ).

tff(f6,axiom,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__C4_Ohyps_C_I4_J) ).

tff(f154,axiom,
    aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real) = aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_one__add__one) ).

tff(f166,axiom,
    ! [X0: real,X1: real,X2: real] : ( aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X0),X1)),X2) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X0),aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_is__num__normalize_I1_J) ).

tff(f9209,axiom,
    ! [X0: option4927543243414619207at_nat,X1: nat,X2: list_VEBT_VEBT,X3: vEBT_VEBT] : ( aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,X3))),aa_real_real(foldr_real_real(plus_plus_real,aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt),X2)),zero_zero_real)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9208_VEBT__internal_Ocnt_Osimps_I2_J) ).

tff(f10510,conjecture,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),deg)),c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10511,negated_conjecture,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),deg)),c)))),
    inference(negated_conjecture,[status(cth)],[f10510]) ).

tff(f10512,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),deg)),c)))),
    inference(flattening,[],[f10511]) ).

tff(f18845,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),deg)),c)))),
    inference(cnf_transformation,[],[f10512]) ).

tff(f19789,plain,
    aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real),
    inference(cnf_transformation,[],[f154]) ).

tff(f20505,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat] : ( aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,X3))),aa_real_real(foldr_real_real(plus_plus_real,aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt),X2)),zero_zero_real)) ),
    inference(cnf_transformation,[],[f9209]) ).

tff(f20513,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),na))),aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit1,aa_num_num(bit0,one))))))))),
    inference(cnf_transformation,[],[f5]) ).

tff(f20820,plain,
    ! [X2: real,X0: real,X1: real] : ( aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X0),X1)),X2) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X0),aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,X1),X2)) ),
    inference(cnf_transformation,[],[f166]) ).

tff(f20845,plain,
    c = aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit1,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f2]) ).

tff(f20847,plain,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    inference(cnf_transformation,[],[f6]) ).

tff(f25111,plain,
    m = na,
    inference(cnf_transformation,[],[f1]) ).

tff(f30171,plain,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),na),
    inference(definition_unfolding,[],[f20847,f25111]) ).

tff(f33645,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),na))),c)))),
    inference(forward_demodulation,[],[f20513,f20845]) ).

tff(f33648,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat] : ( aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,X3)),aa_real_real(foldr_real_real(plus_plus_real,aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt),X2)),zero_zero_real))) ),
    inference(forward_demodulation,[],[f20505,f20820]) ).

tff(f34082,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),deg)),c)))),
    inference(forward_demodulation,[],[f18845,f19789]) ).

tff(f34550,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),deg)),c)))),
    inference(forward_demodulation,[],[f33645,f30171]) ).

tff(f34912,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),deg)),c)))),
    inference(forward_demodulation,[],[f34550,f19789]) ).

tff(f35381,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat,X4: option4927543243414619207at_nat,X5: nat] : ( aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X4,X5,X2),X3)) ),
    inference(superposition,[],[f33648,f33648]) ).

tff(f35396,plain,
    ! [X0: option4927543243414619207at_nat,X1: nat] : ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,treeList),summary))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real,aa_nat_real(aa_real_fun_nat_real(power_power_real,aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real,one_one_real),one_one_real)),deg)),c)))),
    inference(superposition,[],[f34082,f35381]) ).

tff(f35402,plain,
    $false,
    inference(resolution,[],[f34912,f35396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP279_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47  % Computer : n020.cluster.edu
% 0.18/0.47  % Model    : x86_64 x86_64
% 0.18/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47  % Memory   : 8046.5625MB
% 0.18/0.47  % OS       : Linux 6.8.0-71-generic
% 0.18/0.47  % CPULimit : 300
% 0.18/0.47  % WCLimit  : 300
% 0.18/0.47  % DateTime : Sun Sep 27 12:47:49 UTC 2026
% 0.18/0.47  % CPUTime  : 
% 0.18/0.47  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.53  Running first-order theorem proving
% 0.21/0.53  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.18/4.18  % (3345532)Detected formulas, will run a generic FOF schedule.
% 20.18/4.18  % (3345543)dis-21_1_sil=8000:lcm=predicate:random_seed=2615578463:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 20.18/4.18  % (3345543)Instruction limit reached! 
% 20.18/4.18  % (3345543)------------------------------
% 20.18/4.18  % (3345543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.18  % (3345543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.18  % (3345543)CaDiCaL version: 2.1.3
% 20.18/4.18  % (3345543)Termination reason: Instruction limit
% 20.18/4.18  % (3345543)Termination phase: Preprocessing 2
% 20.18/4.18  % (3345543)Time elapsed: 0.081 s
% 20.18/4.18  % (3345543)Peak memory usage: 96 MB
% 20.18/4.18  % (3345543)Instructions burned: 129 (million)
% 20.18/4.18  % (3345537)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3169701528:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 20.18/4.18  % (3345540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=584226658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 20.18/4.18  % (3345541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3023655874:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 20.18/4.18  % (3345539)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4163398526:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 20.18/4.18  % (3345538)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1824923713:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 20.18/4.18  % (3345542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=695453441:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 20.18/4.18  % (3345540)Instruction limit reached! 
% 20.18/4.18  % (3345540)------------------------------
% 20.18/4.18  % (3345540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.18  % (3345540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.18  % (3345540)CaDiCaL version: 2.1.3
% 20.18/4.18  % (3345540)Termination reason: Instruction limit
% 20.18/4.18  % (3345540)Termination phase: Blocked clause elimination
% 20.18/4.18  % (3345540)Time elapsed: 0.107 s
% 20.18/4.18  % (3345540)Peak memory usage: 96 MB
% 20.18/4.18  % (3345540)Instructions burned: 109 (million)
% 20.18/4.18  % (3345542)Instruction limit reached! 
% 20.18/4.18  % (3345542)------------------------------
% 20.18/4.18  % (3345542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.18  % (3345542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.18  % (3345542)CaDiCaL version: 2.1.3
% 20.18/4.18  % (3345542)Termination reason: Instruction limit
% 20.18/4.18  % (3345542)Termination phase: Property scanning
% 20.18/4.18  % (3345542)Time elapsed: 0.112 s
% 20.18/4.18  % (3345542)Peak memory usage: 93 MB
% 20.18/4.18  % (3345542)Instructions burned: 140 (million)
% 20.18/4.18  % (3345541)Instruction limit reached! 
% 20.18/4.18  % (3345541)------------------------------
% 20.18/4.18  % (3345541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.18  % (3345541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.18  % (3345541)CaDiCaL version: 2.1.3
% 20.18/4.18  % (3345541)Termination reason: Instruction limit
% 20.18/4.18  % (3345541)Termination phase: Preprocessing 3
% 20.18/4.18  % (3345541)Time elapsed: 0.127 s
% 20.18/4.18  % (3345541)Peak memory usage: 96 MB
% 20.18/4.18  % (3345541)Instructions burned: 119 (million)
% 20.18/4.18  % (3345545)lrs+10_1_sil=8000:sp=occurrence:random_seed=1184444614:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 20.18/4.18  % (3345552)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2578433372:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 20.18/4.18  % (3345545)Instruction limit reached! 
% 20.18/4.18  % (3345545)------------------------------
% 20.18/4.18  % (3345545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/4.18  % (3345545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/4.18  % (3345545)CaDiCaL version: 2.1.3
% 20.18/4.18  % (3345545)Termination reason: Instruction limit
% 30.18/5.69  % (3345545)Termination phase: Property scanning
% 30.18/5.69  % (3345545)Time elapsed: 0.149 s
% 30.18/5.69  % (3345545)Peak memory usage: 98 MB
% 30.18/5.69  % (3345545)Instructions burned: 287 (million)
% 30.18/5.69  % (3345552)Instruction limit reached! 
% 30.18/5.69  % (3345552)------------------------------
% 30.18/5.69  % (3345552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345552)CaDiCaL version: 2.1.3
% 30.18/5.69  % (3345552)Termination reason: Instruction limit
% 30.18/5.69  % (3345552)Termination phase: Property scanning
% 30.18/5.69  % (3345552)Time elapsed: 0.110 s
% 30.18/5.69  % (3345552)Peak memory usage: 93 MB
% 30.18/5.69  % (3345552)Instructions burned: 157 (million)
% 30.18/5.69  % (3345553)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3050459754:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 30.18/5.69  % (3345554)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3658819006:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 30.18/5.69  % (3345557)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1663403049:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 30.18/5.69  % (3345554)Instruction limit reached! 
% 30.18/5.69  % (3345554)------------------------------
% 30.18/5.69  % (3345554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345554)CaDiCaL version: 2.1.3
% 30.18/5.69  % (3345554)Termination reason: Instruction limit
% 30.18/5.69  % (3345554)Termination phase: SInE selection
% 30.18/5.69  % (3345554)Time elapsed: 0.208 s
% 30.18/5.69  % (3345554)Peak memory usage: 93 MB
% 30.18/5.69  % (3345554)Instructions burned: 249 (million)
% 30.18/5.69  % (3345557)Instruction limit reached! 
% 30.18/5.69  % (3345557)------------------------------
% 30.18/5.69  % (3345557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345557)CaDiCaL version: 2.1.3
% 30.18/5.69  % (3345557)Termination reason: Instruction limit
% 30.18/5.69  % (3345557)Termination phase: Property scanning
% 30.18/5.69  % (3345557)Time elapsed: 0.159 s
% 30.18/5.69  % (3345557)Peak memory usage: 100 MB
% 30.18/5.69  % (3345557)Instructions burned: 294 (million)
% 30.18/5.69  % (3345561)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1801297974:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 30.18/5.69  % (3345553)Instruction limit reached! 
% 30.18/5.69  % (3345553)------------------------------
% 30.18/5.69  % (3345553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345553)CaDiCaL version: 2.1.3
% 30.18/5.69  % (3345553)Termination reason: Instruction limit
% 30.18/5.69  % (3345553)Termination phase: Saturation
% 30.18/5.69  % (3345553)Time elapsed: 0.328 s
% 30.18/5.69  % (3345553)Peak memory usage: 100 MB
% 30.18/5.69  % (3345553)Instructions burned: 325 (million)
% 30.18/5.69  % (3345565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2945270733:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 30.18/5.69  % (3345564)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=272063566:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 30.18/5.69  % (3345565)Instruction limit reached! 
% 30.18/5.69  % (3345565)------------------------------
% 30.18/5.69  % (3345565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345565)CaDiCaL version: 2.1.3
% 30.18/5.69  % (3345565)Termination reason: Instruction limit
% 30.18/5.69  % (3345565)Termination phase: Preprocessing 3
% 30.18/5.69  % (3345565)Time elapsed: 0.076 s
% 30.18/5.69  % (3345565)Peak memory usage: 98 MB
% 30.18/5.69  % (3345565)Instructions burned: 128 (million)
% 30.18/5.69  % (3345564)Instruction limit reached! 
% 30.18/5.69  % (3345564)------------------------------
% 30.18/5.69  % (3345564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.18/5.69  % (3345564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.18/5.69  % (3345564)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345564)Termination reason: Instruction limit
% 58.66/9.63  % (3345564)Termination phase: Unused predicate definition removal
% 58.66/9.63  % (3345564)Time elapsed: 0.121 s
% 58.66/9.63  % (3345564)Peak memory usage: 94 MB
% 58.66/9.63  % (3345564)Instructions burned: 113 (million)
% 58.66/9.63  % (3345567)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1713800523:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 58.66/9.63  % (3345567)Instruction limit reached! 
% 58.66/9.63  % (3345567)------------------------------
% 58.66/9.63  % (3345567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.66/9.63  % (3345567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.66/9.63  % (3345567)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345567)Termination reason: Instruction limit
% 58.66/9.63  % (3345567)Termination phase: Property scanning
% 58.66/9.63  % (3345567)Time elapsed: 0.091 s
% 58.66/9.63  % (3345567)Peak memory usage: 93 MB
% 58.66/9.63  % (3345567)Instructions burned: 115 (million)
% 58.66/9.63  % (3345570)lrs+10_1_sil=8000:sp=occurrence:random_seed=2165286538:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 58.66/9.63  % (3345572)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4027756484:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 58.66/9.63  % (3345573)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1341981308:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 58.66/9.63  % (3345572)Instruction limit reached! 
% 58.66/9.63  % (3345572)------------------------------
% 58.66/9.63  % (3345572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.66/9.63  % (3345572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.66/9.63  % (3345572)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345572)Termination reason: Instruction limit
% 58.66/9.63  % (3345572)Termination phase: Property scanning
% 58.66/9.63  % (3345572)Time elapsed: 0.228 s
% 58.66/9.63  % (3345572)Peak memory usage: 105 MB
% 58.66/9.63  % (3345572)Instructions burned: 439 (million)
% 58.66/9.63  % (3345577)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2740803253:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 58.66/9.63  % (3345577)Instruction limit reached! 
% 58.66/9.63  % (3345577)------------------------------
% 58.66/9.63  % (3345577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.66/9.63  % (3345577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.66/9.63  % (3345577)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345577)Termination reason: Instruction limit
% 58.66/9.63  % (3345577)Termination phase: NewCNF
% 58.66/9.63  % (3345577)Time elapsed: 0.124 s
% 58.66/9.63  % (3345577)Peak memory usage: 98 MB
% 58.66/9.63  % (3345577)Instructions burned: 134 (million)
% 58.66/9.63  % (3345570)Instruction limit reached! 
% 58.66/9.63  % (3345570)------------------------------
% 58.66/9.63  % (3345570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.66/9.63  % (3345570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.66/9.63  % (3345570)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345570)Termination reason: Instruction limit
% 58.66/9.63  % (3345570)Termination phase: Saturation
% 58.66/9.63  % (3345570)Time elapsed: 0.803 s
% 58.66/9.63  % (3345570)Peak memory usage: 107 MB
% 58.66/9.63  % (3345570)Instructions burned: 908 (million)
% 58.66/9.63  % (3345580)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=428953714:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 58.66/9.63  % (3345581)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1688798487:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 58.66/9.63  % (3345580)Instruction limit reached! 
% 58.66/9.63  % (3345580)------------------------------
% 58.66/9.63  % (3345580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.66/9.63  % (3345580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.66/9.63  % (3345580)CaDiCaL version: 2.1.3
% 58.66/9.63  % (3345580)Termination reason: Instruction limit
% 58.66/9.63  % (3345580)Termination phase: Property scanning
% 58.66/9.63  % (3345580)Time elapsed: 0.314 s
% 58.66/9.63  % (3345580)Peak memory usage: 105 MB
% 58.66/9.63  % (3345580)Instructions burned: 593 (million)
% 58.66/9.63  % (3345584)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=137751234:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 30.00/10.10  % (3345584)Instruction limit reached! 
% 30.00/10.10  % (3345584)------------------------------
% 30.00/10.10  % (3345584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345584)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345584)Termination reason: Instruction limit
% 30.00/10.10  % (3345584)Termination phase: Property scanning
% 30.00/10.10  % (3345584)Time elapsed: 0.055 s
% 30.00/10.10  % (3345584)Peak memory usage: 94 MB
% 30.00/10.10  % (3345584)Instructions burned: 128 (million)
% 30.00/10.10  % (3345586)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2193333757:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 30.00/10.10  % (3345561)Instruction limit reached! 
% 30.00/10.10  % (3345561)------------------------------
% 30.00/10.10  % (3345561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345561)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345561)Termination reason: Instruction limit
% 30.00/10.10  % (3345561)Termination phase: Saturation
% 30.00/10.10  % (3345561)Time elapsed: 2.310 s
% 30.00/10.10  % (3345561)Peak memory usage: 280 MB
% 30.00/10.10  % (3345561)Instructions burned: 2351 (million)
% 30.00/10.10  % (3345586)Instruction limit reached! 
% 30.00/10.10  % (3345586)------------------------------
% 30.00/10.10  % (3345586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345586)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345586)Termination reason: Instruction limit
% 30.00/10.10  % (3345586)Termination phase: Property scanning
% 30.00/10.10  % (3345586)Time elapsed: 0.111 s
% 30.00/10.10  % (3345586)Peak memory usage: 93 MB
% 30.00/10.10  % (3345586)Instructions burned: 135 (million)
% 30.00/10.10  % (3345588)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1006519363:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 30.00/10.10  % (3345589)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=242684449:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 30.00/10.10  % (3345588)Refutation not found, incomplete strategy
% 30.00/10.10  % (3345588)------------------------------
% 30.00/10.10  % (3345588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345588)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345588)Termination reason: Refutation not found, incomplete strategy
% 30.00/10.10  % (3345588)Time elapsed: 0.092 s
% 30.00/10.10  % (3345588)Peak memory usage: 98 MB
% 30.00/10.10  % (3345588)Instructions burned: 123 (million)
% 30.00/10.10  % (3345589)Instruction limit reached! 
% 30.00/10.10  % (3345589)------------------------------
% 30.00/10.10  % (3345589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345589)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345589)Termination reason: Instruction limit
% 30.00/10.10  % (3345589)Termination phase: Saturation
% 30.00/10.10  % (3345589)Time elapsed: 0.190 s
% 30.00/10.10  % (3345589)Peak memory usage: 100 MB
% 30.00/10.10  % (3345589)Instructions burned: 433 (million)
% 30.00/10.10  % (3345592)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2386561389:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 30.00/10.10  % (3345588)------------------------------
% 30.00/10.10  % (3345588)------------------------------
% 30.00/10.10  % (3345594)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=757099837:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 30.00/10.10  % (3345594)Instruction limit reached! 
% 30.00/10.10  % (3345594)------------------------------
% 30.00/10.10  % (3345594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345594)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345594)Termination reason: Instruction limit
% 30.00/10.10  % (3345594)Termination phase: Naming
% 30.00/10.10  % (3345594)Time elapsed: 0.173 s
% 30.00/10.10  % (3345594)Peak memory usage: 97 MB
% 30.00/10.10  % (3345594)Instructions burned: 151 (million)
% 30.00/10.10  % (3345596)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2676715678:i=14155:bd=all_2951 on theBenchmark for (2951ds/14155Mi)
% 30.00/10.10  % (3345573)Instruction limit reached! 
% 30.00/10.10  % (3345573)------------------------------
% 30.00/10.10  % (3345573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345573)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345573)Termination reason: Instruction limit
% 30.00/10.10  % (3345573)Termination phase: Saturation
% 30.00/10.10  % (3345573)Time elapsed: 5.009 s
% 30.00/10.10  % (3345573)Peak memory usage: 245 MB
% 30.00/10.10  % (3345573)Instructions burned: 5202 (million)
% 30.00/10.10  % (3345602)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2166182317:i=667:av=off:fsr=off_2929 on theBenchmark for (2929ds/667Mi)
% 30.00/10.10  % (3345592)Instruction limit reached! 
% 30.00/10.10  % (3345592)------------------------------
% 30.00/10.10  % (3345592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345592)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345592)Termination reason: Instruction limit
% 30.00/10.10  % (3345592)Termination phase: Saturation
% 30.00/10.10  % (3345592)Time elapsed: 3.466 s
% 30.00/10.10  % (3345592)Peak memory usage: 335 MB
% 30.00/10.10  % (3345592)Instructions burned: 6060 (million)
% 30.00/10.10  % (3345602)Instruction limit reached! 
% 30.00/10.10  % (3345602)------------------------------
% 30.00/10.10  % (3345602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345602)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345602)Termination reason: Instruction limit
% 30.00/10.10  % (3345602)Termination phase: Function definition elimination
% 30.00/10.10  % (3345602)Time elapsed: 0.608 s
% 30.00/10.10  % (3345602)Peak memory usage: 105 MB
% 30.00/10.10  % (3345602)Instructions burned: 668 (million)
% 30.00/10.10  % (3345608)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=15144354:s2a=on:i=185:s2at=1.8:fdi=4_2920 on theBenchmark for (2920ds/185Mi)
% 30.00/10.10  % (3345608)Instruction limit reached! 
% 30.00/10.10  % (3345608)------------------------------
% 30.00/10.10  % (3345608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345608)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345608)Termination reason: Instruction limit
% 30.00/10.10  % (3345608)Termination phase: NewCNF
% 30.00/10.10  % (3345608)Time elapsed: 0.112 s
% 30.00/10.10  % (3345608)Peak memory usage: 98 MB
% 30.00/10.10  % (3345608)Instructions burned: 186 (million)
% 30.00/10.10  % (3345609)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1174281199:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2920 on theBenchmark for (2920ds/193Mi)
% 30.00/10.10  % (3345609)Instruction limit reached! 
% 30.00/10.10  % (3345609)------------------------------
% 30.00/10.10  % (3345609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.00/10.10  % (3345609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.00/10.10  % (3345609)CaDiCaL version: 2.1.3
% 30.00/10.10  % (3345609)Termination reason: Instruction limit
% 30.00/10.10  % (3345609)Termination phase: Preprocessing 3
% 30.00/10.10  % (3345609)Time elapsed: 0.205 s
% 30.00/10.10  % (3345609)Peak memory usage: 97 MB
% 30.00/10.10  % (3345609)Instructions burned: 194 (million)
% 30.00/10.10  % (3345611)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=686726096:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2917 on theBenchmark for (2917ds/4850Mi)
% 30.00/10.10  % (3345581)First to succeed.
% 30.00/10.10  % (3345581)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3345532"
% 30.00/10.10  % (3345613)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1583783966:i=12111:sd=1:ss=included_2915 on theBenchmark for (2915ds/12111Mi)
% 30.00/10.10  % (3345581)Refutation found. Thanks to Tanya!
% 30.00/10.10  % SZS status Theorem for theBenchmark
% 30.00/10.10  % SZS output start Proof for theBenchmark
% See solution above
% 63.02/10.47  % (3345581)------------------------------
% 63.02/10.47  % (3345581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.02/10.47  % (3345581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.02/10.47  % (3345581)CaDiCaL version: 2.1.3
% 63.02/10.47  % (3345581)Termination reason: Refutation
% 63.02/10.47  % (3345581)Time elapsed: 5.854 s
% 63.02/10.47  % (3345581)Peak memory usage: 262 MB
% 63.02/10.47  % (3345581)Instructions burned: 5966 (million)
% 63.02/10.47  % (3345581)------------------------------
% 63.02/10.47  % (3345581)------------------------------
% 63.02/10.47  % (3345532)Success in time 9.214 s
% 63.02/10.48  % Vampire exiting
%------------------------------------------------------------------------------