Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP280_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 11:33:14 AM UTC 2026

% Result   : Theorem 9.70s 3.04s
% Output   : Refutation 9.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of types       :  244 ( 243 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  113 ( 111 usr;   1 prp; 0-6 aty)
%            Number of functors    : 1192 (1192 usr; 377 con; 0-8 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

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

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

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

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

tff(type_def_9,type,
    fun_fu4669108322068655547t_bool: $tType ).

tff(type_def_10,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_11,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_12,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_13,type,
    fun_fu2194082084716825453t_bool: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_23,type,
    fun_fu762719556336274221l_bool: $tType ).

tff(type_def_24,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_25,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_26,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_27,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_28,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_29,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_30,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_31,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_32,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_33,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_34,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_35,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_36,type,
    fun_fu8602805464270671924l_bool: $tType ).

tff(type_def_37,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_38,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_39,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_40,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_41,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_42,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_43,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_44,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_45,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_46,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_47,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_48,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_49,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_50,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_51,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_52,type,
    fun_fu8308374331699588969t_bool: $tType ).

tff(type_def_53,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_54,type,
    fun_fu2636726645394866687t_bool: $tType ).

tff(type_def_55,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_56,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_57,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_58,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_59,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_60,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_61,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_62,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_63,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_64,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_65,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_66,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_67,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_68,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_69,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_70,type,
    fun_Pr8073036449086768093x_bool: $tType ).

tff(type_def_71,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_72,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_73,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_74,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_75,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_76,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_77,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_78,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_79,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_80,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_81,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_82,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_83,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_84,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_85,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_86,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_87,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_88,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_89,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_90,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_91,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_92,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_93,type,
    fun_Pr9030630356418945121l_bool: $tType ).

tff(type_def_94,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_95,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_96,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_97,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_98,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_99,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_100,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_101,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_102,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_103,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_104,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_105,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_106,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_107,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_108,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_109,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_110,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_111,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_112,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_113,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_114,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_115,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_116,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_117,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_118,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_119,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_120,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_121,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_122,type,
    fun_fu7307090382573344987l_bool: $tType ).

tff(type_def_123,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_124,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_125,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_126,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_127,type,
    fun_bo1841576699660343469l_bool: $tType ).

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

tff(type_def_129,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

tff(type_def_132,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_160,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_161,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

tff(type_def_169,type,
    fun_Ex8563670519792538868t_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: fun_nat_fun_nat_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_re4238438383274954274t_real ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_re4238438383274954274t_real ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_nat_real ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_re4238438383274954274t_real ).

tff(func_def_11,type,
    aTP_Lamm_ak: nat > fun_complex_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: complex > fun_na5941084329111710283x_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_nat_real > fun_nat_real ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_re4238438383274954274t_real ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_real ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_nat_real > fun_nat_real ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_re4238438383274954274t_real ).

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

tff(func_def_21,type,
    aTP_Lamm_au: nat > fun_nat_nat ).

tff(func_def_22,type,
    aTP_Lamm_av: nat > fun_nat_nat ).

tff(func_def_23,type,
    aTP_Lamm_aw: nat > fun_nat_fun_nat_nat ).

tff(func_def_24,type,
    aTP_Lamm_ax: nat > fun_na3244735409550470327at_nat ).

tff(func_def_25,type,
    aTP_Lamm_ay: nat > fun_na3244735409550470327at_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: nat > fun_nat_nat ).

tff(func_def_30,type,
    aTP_Lamm_bd: nat > fun_nat_nat ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_nat_fun_nat_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_complex_complex ).

tff(func_def_33,type,
    aTP_Lamm_bg: nat > fun_co1378794544173401837x_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_re4238438383274954274t_real ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_re4238438383274954274t_real ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_real ).

tff(func_def_37,type,
    aTP_Lamm_bk: real > fun_fu6899955116716589935t_real ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_41,type,
    aTP_Lamm_bo: fun_re4238438383274954274t_real ).

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

tff(func_def_43,type,
    aTP_Lamm_bq: fun_nat_nat ).

tff(func_def_44,type,
    aTP_Lamm_br: nat > fun_nat_fun_nat_nat ).

tff(func_def_45,type,
    aTP_Lamm_bs: num > fun_na4138050610385705875at_nat ).

tff(func_def_46,type,
    aTP_Lamm_bt: num > fun_in1696471567231710611nt_int ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_int_int ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_na4138050610385705875at_nat ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_re1255401033344146673l_bool ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_real_bool ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_re1255401033344146673l_bool ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_real_bool ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_re1255401033344146673l_bool ).

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

tff(func_def_55,type,
    aTP_Lamm_cc: int > fun_int_fun_int_bool ).

tff(func_def_56,type,
    aTP_Lamm_cd: int > fun_int_fun_int_bool ).

tff(func_def_57,type,
    aTP_Lamm_ce: num > fun_Co2470855966376689427nteger ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_bool ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_nat_bool ).

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

tff(func_def_61,type,
    aTP_Lamm_ci: nat > fun_nat_nat ).

tff(func_def_62,type,
    aTP_Lamm_cj: real > fun_int_bool ).

tff(func_def_63,type,
    aTP_Lamm_ck: rat > fun_int_bool ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_in1696471567231710611nt_int ).

tff(func_def_65,type,
    aTP_Lamm_cm: int > fun_in2204242111582549184nt_int ).

tff(func_def_66,type,
    aTP_Lamm_cn: rat > fun_in1696471567231710611nt_int ).

tff(func_def_67,type,
    aTP_Lamm_co: int > fun_in2204242111582549184nt_int ).

tff(func_def_68,type,
    aTP_Lamm_cp: rat > fun_in1696471567231710611nt_int ).

tff(func_def_69,type,
    aTP_Lamm_cq: int > fun_in2204242111582549184nt_int ).

tff(func_def_70,type,
    aTP_Lamm_cr: rat > fun_in1696471567231710611nt_int ).

tff(func_def_71,type,
    aTP_Lamm_cs: int > fun_in2204242111582549184nt_int ).

tff(func_def_72,type,
    aTP_Lamm_ct: rat > fun_in1696471567231710611nt_int ).

tff(func_def_73,type,
    aTP_Lamm_cu: int > fun_in6148020733644367646t_bool ).

tff(func_def_74,type,
    aTP_Lamm_cv: rat > fun_int_fun_int_bool ).

tff(func_def_75,type,
    aTP_Lamm_cw: int > fun_in6148020733644367646t_bool ).

tff(func_def_76,type,
    aTP_Lamm_cx: rat > fun_int_fun_int_bool ).

tff(func_def_77,type,
    aTP_Lamm_cy: code_integer > fun_Co3025358997185726883r_bool ).

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

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_fun_nat_bool ).

tff(func_def_80,type,
    aTP_Lamm_db: fun_nat_fun_nat_bool ).

tff(func_def_81,type,
    aTP_Lamm_dc: int > fun_int_fun_int_bool ).

tff(func_def_82,type,
    aTP_Lamm_dd: int > fun_int_fun_int_bool ).

tff(func_def_83,type,
    aTP_Lamm_de: int > fun_int_fun_int_bool ).

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

tff(func_def_85,type,
    aTP_Lamm_dg: fun_int_fun_int_bool ).

tff(func_def_86,type,
    aTP_Lamm_dh: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_87,type,
    aTP_Lamm_di: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_88,type,
    aTP_Lamm_dj: nat > fun_na5614638261385347865t_bool ).

tff(func_def_89,type,
    aTP_Lamm_dk: nat > fun_na5614638261385347865t_bool ).

tff(func_def_90,type,
    aTP_Lamm_dl: nat > fun_na5614638261385347865t_bool ).

tff(func_def_91,type,
    aTP_Lamm_dm: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_92,type,
    aTP_Lamm_dn: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_93,type,
    aTP_Lamm_do: nat > fun_nat_nat ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_nat_nat ).

tff(func_def_95,type,
    aTP_Lamm_dq: nat > fun_na5042103099923536755t_bool ).

tff(func_def_96,type,
    aTP_Lamm_dr: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_nat_fun_nat_bool ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_Co3583066429914935172er_nat ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_Co1092983284983208416er_int ).

tff(func_def_100,type,
    aTP_Lamm_dv: nat > fun_na4143055713577223196at_nat ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_na1668100129766719005at_nat ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_na4138050610385705875at_nat ).

tff(func_def_103,type,
    aTP_Lamm_dy: nat > fun_na3408937105440547634t_bool ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_na4786964484885125043t_bool ).

tff(func_def_105,type,
    aTP_Lamm_ea: nat > fun_na3408937105440547634t_bool ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_na4786964484885125043t_bool ).

tff(func_def_107,type,
    aTP_Lamm_ec: nat > fun_na4143055713577223196at_nat ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_na1668100129766719005at_nat ).

tff(func_def_109,type,
    aTP_Lamm_ee: nat > fun_na4143055713577223196at_nat ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_na1668100129766719005at_nat ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_nat_fun_nat_nat ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_nat_fun_nat_bool ).

tff(func_def_113,type,
    aTP_Lamm_ei: nat > fun_nat_nat ).

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

tff(func_def_115,type,
    aTP_Lamm_ek: nat > fun_nat_nat ).

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

tff(func_def_117,type,
    aTP_Lamm_em: fun_na6724076748692969250l_real ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_na6724076748692969250l_real ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_re7681423839302404990l_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_127,type,
    aTP_Lamm_ew: fun_nat_real > fun_real_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_129,type,
    aTP_Lamm_ey: real > fun_fu5589980185390252312t_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_133,type,
    aTP_Lamm_fc: nat > fun_fu3612569900928539882l_real ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_real_real ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_re4238438383274954274t_real ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_real_real ).

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

tff(func_def_139,type,
    aTP_Lamm_fi: nat > fun_nat_nat ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_nat_real ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_nat_real > fun_nat_real ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_nat_real ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_re4238438383274954274t_real ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_nat_real ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_re4238438383274954274t_real ).

tff(func_def_147,type,
    aTP_Lamm_fq: real > fun_re4238438383274954274t_real ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_re4238438383274954274t_real ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_re4238438383274954274t_real ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_re4238438383274954274t_real ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_re4238438383274954274t_real ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_nat_real > fun_fu6119738925743952495t_real ).

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

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_real > fun_nat_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_real > fun_nat_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: nat > fun_fu3077872570260440615l_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_re7681423839302404990l_real ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_real_real ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_na6724076748692969250l_real ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_re7681423839302404990l_real ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_real_real > fun_real_bool ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_real_real > fun_fu7376312551830202376l_bool ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_real_bool > fun_re1255401033344146673l_bool ).

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

tff(func_def_167,type,
    aTP_Lamm_gk: fun_real_real > fun_fu3077872570260440615l_real ).

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

tff(func_def_169,type,
    aTP_Lamm_gm: fun_real_real > fun_real_real ).

tff(func_def_170,type,
    aTP_Lamm_gn: real > fun_re1255401033344146673l_bool ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_re5512370375968561900l_real ).

tff(func_def_172,type,
    aTP_Lamm_gp: real > fun_co1378794544173401837x_bool ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_re3844104906058862192omplex ).

tff(func_def_174,type,
    aTP_Lamm_gr: nat > fun_li8232715659020003717t_bool ).

tff(func_def_175,type,
    aTP_Lamm_gs: set_int > fun_int_bool ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_real_bool ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_real_bool ).

tff(func_def_178,type,
    aTP_Lamm_gv: num > fun_num_int ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_nat_option_num ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_num_option_num ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_num_option_num ).

tff(func_def_182,type,
    aTP_Lamm_gz: num > fun_nat_option_num ).

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

tff(func_def_184,type,
    aTP_Lamm_hb: fun_Pr803113274115125473t_bool ).

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

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

tff(func_def_187,type,
    aTP_Lamm_he: num > fun_nat_option_num ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_na7595719129879163854on_num ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_Pr1308109350235310159nt_int ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_Pr2478283820680522243nt_int ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_Pr1308109350235310159nt_int ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_Co8521658056209057742er_num ).

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

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

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

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

tff(func_def_197,type,
    aTP_Lamm_ho: fun_nat_set_nat ).

tff(func_def_198,type,
    aTP_Lamm_hp: int > fun_int_fun_int_bool ).

tff(func_def_199,type,
    aTP_Lamm_hq: rat > fun_Pr803113274115125473t_bool ).

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

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

tff(func_def_202,type,
    aTP_Lamm_ht: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_fu6579618355643354601at_rat ).

tff(func_def_204,type,
    aTP_Lamm_hv: rat > fun_nat_rat ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_fu6579618355643354601at_rat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_fu8328862064278946247at_rat ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_in1696471567231710611nt_int ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_num_fun_num_int ).

tff(func_def_210,type,
    aTP_Lamm_ib: fun_na1476630412504255114at_nat ).

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

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

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

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

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_rat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_rat > fun_nat_rat ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_fu8328862064278946247at_rat ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_nat_rat ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_int_fun_int_int ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_fun_nat_rat_bool ).

tff(func_def_221,type,
    aTP_Lamm_im: nat > fun_na3408937105440547634t_bool ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_na4786964484885125043t_bool ).

tff(func_def_223,type,
    aTP_Lamm_io: int > fun_nat_rat ).

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

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_226,type,
    aTP_Lamm_ir: set_real > fun_real_bool ).

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

tff(func_def_228,type,
    aTP_Lamm_it: fun_re7681423839302404990l_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_re7681423839302404990l_real ).

tff(func_def_230,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_231,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_232,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_233,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_234,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_235,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_236,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_237,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_238,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_239,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_240,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_241,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_242,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_243,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_244,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_245,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_246,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_247,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_248,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_249,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_250,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_251,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool ) > fun_fu8602805464270671924l_bool ).

tff(func_def_252,type,
    bNF_re237660433471117187t_real: ( fun_fu990398353789569848l_bool * fun_fu990398353789569848l_bool ) > fun_fu762719556336274221l_bool ).

tff(func_def_253,type,
    bNF_re9178625837396562677at_rat: ( fun_fu2636726645394866687t_bool * fun_fu2636726645394866687t_bool ) > fun_fu4669108322068655547t_bool ).

tff(func_def_254,type,
    binomial: nat > fun_nat_nat ).

tff(func_def_255,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_256,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_257,type,
    gbinomial_nat: nat > fun_nat_nat ).

tff(func_def_258,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_259,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_260,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_261,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_262,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_263,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_264,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_265,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_266,type,
    bit_ri7632146776885996613nteger: fun_Co8499238673658658103nteger ).

tff(func_def_267,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_268,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_269,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_270,type,
    bit_se3949692690581998587nteger: fun_Co1981900195452921617nteger ).

tff(func_def_271,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_272,type,
    bit_se727722235901077358nd_nat: nat > fun_nat_nat ).

tff(func_def_273,type,
    bit_se3928097537394005634nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_274,type,
    bit_se8568078237143864401it_int: ( nat * int ) > int ).

tff(func_def_275,type,
    bit_se8570568707652914677it_nat: nat > fun_nat_nat ).

tff(func_def_276,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_277,type,
    bit_se2159334234014336723it_int: fun_nat_fun_int_int ).

tff(func_def_278,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_279,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_280,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_281,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_282,type,
    bit_se1080825931792720795nteger: fun_Co1981900195452921617nteger ).

tff(func_def_283,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_284,type,
    bit_se1412395901928357646or_nat: 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 * int ) > int ).

tff(func_def_287,type,
    bit_se547839408752420682it_nat: nat > fun_nat_nat ).

tff(func_def_288,type,
    bit_se2793503036327961859nteger: fun_na7078387940644931716nteger ).

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: nat > fun_nat_nat ).

tff(func_def_294,type,
    bit_se8260200283734997820nteger: fun_na7078387940644931716nteger ).

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: fun_Co1981900195452921617nteger ).

tff(func_def_298,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_299,type,
    bit_se6528837805403552850or_nat: 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,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_305,type,
    bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_306,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_307,type,
    bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_308,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_309,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_310,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_311,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_312,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_313,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_314,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_315,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_316,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_317,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_318,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_319,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_320,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_321,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_322,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_323,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_324,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_325,type,
    code_Target_negative: fun_num_int ).

tff(func_def_326,type,
    code_Target_positive: fun_num_int ).

tff(func_def_327,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_328,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_329,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_330,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_331,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_332,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_333,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_334,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_335,type,
    arg: fun_complex_real ).

tff(func_def_336,type,
    cis: real > complex ).

tff(func_def_337,type,
    cnj: complex > complex ).

tff(func_def_338,type,
    complex2: ( real * real ) > complex ).

tff(func_def_339,type,
    im: fun_complex_real ).

tff(func_def_340,type,
    re: fun_complex_real ).

tff(func_def_341,type,
    csqrt: complex > complex ).

tff(func_def_342,type,
    imaginary_unit: complex ).

tff(func_def_343,type,
    rcis: ( real * real ) > complex ).

tff(func_def_344,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_345,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_346,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_347,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_348,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_349,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_350,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_351,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_352,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_353,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_354,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_355,type,
    comm_s4663373288045622133er_nat: nat > fun_nat_nat ).

tff(func_def_356,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_357,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_358,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_359,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_360,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_361,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_362,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_363,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_364,type,
    invers8013647133539491842omplex: complex > complex ).

tff(func_def_365,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_366,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_367,type,
    at_bot_real: filter_real ).

tff(func_def_368,type,
    at_top_int: filter_int ).

tff(func_def_369,type,
    at_top_nat: filter_nat ).

tff(func_def_370,type,
    at_top_real: filter_real ).

tff(func_def_371,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_372,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_373,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_374,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_375,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_376,type,
    finite_card_int: set_int > nat ).

tff(func_def_377,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_378,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_379,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_380,type,
    finite_card_char: set_char > nat ).

tff(func_def_381,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_382,type,
    bij_betw_int_nat: ( fun_int_nat * set_int ) > fun_set_nat_bool ).

tff(func_def_383,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_bool ).

tff(func_def_384,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_385,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_bool ).

tff(func_def_386,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_387,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_388,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_389,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_390,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_391,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_392,type,
    id_bool: fun_bool_bool ).

tff(func_def_393,type,
    id_nat: fun_nat_nat ).

tff(func_def_394,type,
    inj_on_nat_int: fun_nat_int > fun_set_nat_bool ).

tff(func_def_395,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_396,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_397,type,
    map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

tff(func_def_398,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_399,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_400,type,
    map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

tff(func_def_401,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_402,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_403,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_404,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_405,type,
    map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).

tff(func_def_406,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_407,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_408,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_409,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_410,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_411,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_412,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_413,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_414,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_415,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_416,type,
    gcd_gcd_int: ( int * int ) > int ).

tff(func_def_417,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_418,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_419,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_420,type,
    abs_abs_complex: complex > complex ).

tff(func_def_421,type,
    abs_abs_int: fun_int_int ).

tff(func_def_422,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_423,type,
    abs_abs_real: fun_real_real ).

tff(func_def_424,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_425,type,
    minus_minus_complex: ( complex * complex ) > complex ).

tff(func_def_426,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_427,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_428,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_429,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_430,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_431,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_432,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_433,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_434,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_435,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_436,type,
    one_one_Code_integer: code_integer ).

tff(func_def_437,type,
    one_one_complex: complex ).

tff(func_def_438,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_439,type,
    one_one_int: int ).

tff(func_def_440,type,
    one_one_nat: nat ).

tff(func_def_441,type,
    one_one_rat: rat ).

tff(func_def_442,type,
    one_one_real: real ).

tff(func_def_443,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_444,type,
    plus_plus_complex: ( complex * complex ) > complex ).

tff(func_def_445,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_446,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_447,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_448,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_449,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_450,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_451,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_452,type,
    sgn_sgn_complex: complex > complex ).

tff(func_def_453,type,
    sgn_sgn_int: int > int ).

tff(func_def_454,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_455,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_456,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_457,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_458,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_459,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_460,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_461,type,
    times_times_num: num > fun_num_num ).

tff(func_def_462,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_463,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_464,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_465,type,
    uminus1482373934393186551omplex: complex > complex ).

tff(func_def_466,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_467,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_468,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_469,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

tff(func_def_470,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_471,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_472,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_473,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_474,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_475,type,
    zero_zero_complex: complex ).

tff(func_def_476,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_477,type,
    zero_zero_int: int ).

tff(func_def_478,type,
    zero_zero_nat: nat ).

tff(func_def_479,type,
    zero_zero_rat: rat ).

tff(func_def_480,type,
    zero_zero_real: real ).

tff(func_def_481,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_482,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_483,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_484,type,
    groups6591440286371151544t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_485,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_486,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_487,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_488,type,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_489,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_490,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_491,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_492,type,
    the_int: fun_int_bool > int ).

tff(func_def_493,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_494,type,
    the_real: fun_real_bool > real ).

tff(func_def_495,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_496,type,
    if_int: ( bool * int * int ) > int ).

tff(func_def_497,type,
    if_nat: ( bool * nat ) > fun_nat_nat ).

tff(func_def_498,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_499,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_500,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_501,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_502,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_503,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_504,type,
    if_fun_nat_rat: ( bool * fun_nat_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_505,type,
    if_fun4784160582202652222nteger: ( bool * fun_na7078387940644931716nteger * fun_na7078387940644931716nteger ) > fun_na7078387940644931716nteger ).

tff(func_def_506,type,
    if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).

tff(func_def_507,type,
    if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_508,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_509,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_510,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_511,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_512,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_513,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_514,type,
    nat2: fun_int_nat ).

tff(func_def_515,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_516,type,
    power_int_real: real > fun_int_real ).

tff(func_def_517,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_518,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_519,type,
    ring_1_Ints_int: set_int ).

tff(func_def_520,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_521,type,
    ring_1_Ints_real: set_real ).

tff(func_def_522,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_523,type,
    ring_17405671764205052669omplex: int > complex ).

tff(func_def_524,type,
    ring_1_of_int_int: int > int ).

tff(func_def_525,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_526,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_527,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_528,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_529,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_530,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_531,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_532,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_533,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_534,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_535,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_536,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_537,type,
    at_infinity_real: filter_real ).

tff(func_def_538,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_539,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_540,type,
    concat_bool: list_list_bool > list_bool ).

tff(func_def_541,type,
    concat_int: list_list_int > list_int ).

tff(func_def_542,type,
    concat_nat: list_list_nat > list_nat ).

tff(func_def_543,type,
    concat_real: list_list_real > list_real ).

tff(func_def_544,type,
    foldr_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_545,type,
    foldr_real_real: ( fun_re7681423839302404990l_real * list_real ) > fun_real_real ).

tff(func_def_546,type,
    last_nat: list_nat > nat ).

tff(func_def_547,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_548,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_549,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_550,type,
    nil_int: list_int ).

tff(func_def_551,type,
    nil_nat: list_nat ).

tff(func_def_552,type,
    map_complex_real: ( fun_complex_real * list_complex ) > list_real ).

tff(func_def_553,type,
    map_int_real: ( fun_int_real * list_int ) > list_real ).

tff(func_def_554,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_555,type,
    map_nat_real: ( fun_nat_real * list_nat ) > list_real ).

tff(func_def_556,type,
    map_real_real: ( fun_real_real * list_real ) > list_real ).

tff(func_def_557,type,
    map_set_nat_real: ( fun_set_nat_real * list_set_nat ) > list_real ).

tff(func_def_558,type,
    map_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > list_nat ).

tff(func_def_559,type,
    map_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * list_VEBT_VEBT ) > list_real ).

tff(func_def_560,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_561,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_562,type,
    set_int2: list_int > set_int ).

tff(func_def_563,type,
    set_list_bool2: list_list_bool > set_list_bool ).

tff(func_def_564,type,
    set_list_int2: list_list_int > set_list_int ).

tff(func_def_565,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_566,type,
    set_list_real2: list_list_real > set_list_real ).

tff(func_def_567,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_568,type,
    set_real2: list_real > set_real ).

tff(func_def_569,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_570,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_571,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_572,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_573,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_574,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_575,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_576,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_577,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_578,type,
    nth_set_nat: ( list_set_nat * nat ) > set_nat ).

tff(func_def_579,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_580,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_581,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_582,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_583,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_584,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_585,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_586,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_587,type,
    subseqs_bool: list_bool > list_list_bool ).

tff(func_def_588,type,
    subseqs_int: list_int > list_list_int ).

tff(func_def_589,type,
    subseqs_nat: list_nat > list_list_nat ).

tff(func_def_590,type,
    subseqs_real: list_real > list_list_real ).

tff(func_def_591,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_592,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_593,type,
    upto: ( int * int ) > list_int ).

tff(func_def_594,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_595,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_596,type,
    suc: fun_nat_nat ).

tff(func_def_597,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_598,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_599,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_600,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_601,type,
    pred: fun_nat_nat ).

tff(func_def_602,type,
    semiri3842193898606819883omplex: set_complex ).

tff(func_def_603,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_604,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_605,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_606,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_607,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_608,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_609,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_610,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_611,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_612,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_613,type,
    size_size_list_int: list_int > nat ).

tff(func_def_614,type,
    size_s9193230429364170767t_bool: list_list_bool > nat ).

tff(func_def_615,type,
    size_s533118279054570080st_int: list_list_int > nat ).

tff(func_def_616,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_617,type,
    size_s6660260683639930848t_real: list_list_real > nat ).

tff(func_def_618,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_619,type,
    size_size_list_real: list_real > nat ).

tff(func_def_620,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_621,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_622,type,
    size_size_num: fun_num_nat ).

tff(func_def_623,type,
    size_size_char: char > nat ).

tff(func_def_624,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_625,type,
    nat_int_decode: fun_nat_int ).

tff(func_def_626,type,
    nat_int_encode: fun_int_nat ).

tff(func_def_627,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_628,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_629,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_630,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_631,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_632,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_633,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_634,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_635,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_636,type,
    sqrt: fun_real_real ).

tff(func_def_637,type,
    bitM: fun_num_num ).

tff(func_def_638,type,
    inc: fun_num_num ).

tff(func_def_639,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_640,type,
    neg_nu7009210354673126013omplex: complex > complex ).

tff(func_def_641,type,
    neg_numeral_dbl_int: int > int ).

tff(func_def_642,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_643,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_644,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_645,type,
    neg_nu6511756317524482435omplex: complex > complex ).

tff(func_def_646,type,
    neg_nu3811975205180677377ec_int: int > int ).

tff(func_def_647,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_648,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_649,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_650,type,
    neg_nu8557863876264182079omplex: complex > complex ).

tff(func_def_651,type,
    neg_nu5851722552734809277nc_int: int > int ).

tff(func_def_652,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_653,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_654,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_655,type,
    bit0: fun_num_num ).

tff(func_def_656,type,
    bit1: fun_num_num ).

tff(func_def_657,type,
    one: num ).

tff(func_def_658,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_659,type,
    size_num: fun_num_nat ).

tff(func_def_660,type,
    num_of_nat: fun_nat_num ).

tff(func_def_661,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_662,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_663,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_664,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_665,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_666,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_667,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_668,type,
    pow: num > fun_num_num ).

tff(func_def_669,type,
    pred_numeral: fun_num_nat ).

tff(func_def_670,type,
    sqr: fun_num_num ).

tff(func_def_671,type,
    none_num: option_num ).

tff(func_def_672,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_673,type,
    some_num: num > option_num ).

tff(func_def_674,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_675,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_676,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_677,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_678,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_679,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_680,type,
    bot_bot_nat: nat ).

tff(func_def_681,type,
    bot_bot_set_bool: set_bool ).

tff(func_def_682,type,
    bot_bot_set_int: set_int ).

tff(func_def_683,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_684,type,
    bot_bot_set_real: set_real ).

tff(func_def_685,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_686,type,
    ord_Least_real: fun_real_bool > real ).

tff(func_def_687,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_688,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_689,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_690,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_691,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_692,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_693,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_694,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_695,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_696,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_697,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_698,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_699,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_700,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_701,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_702,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_703,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_704,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_705,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_706,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_707,type,
    ord_max_num: num > fun_num_num ).

tff(func_def_708,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_709,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_710,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_711,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_712,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_713,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_714,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_715,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_716,type,
    top_top_set_bool: set_bool ).

tff(func_def_717,type,
    top_top_set_int: set_int ).

tff(func_def_718,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_719,type,
    top_top_set_nat: set_nat ).

tff(func_def_720,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_721,type,
    top_top_set_real: set_real ).

tff(func_def_722,type,
    top_top_set_char: set_char ).

tff(func_def_723,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_724,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_725,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_726,type,
    power_power_nat: nat > fun_nat_nat ).

tff(func_def_727,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_728,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_729,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_730,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_731,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_732,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_733,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_734,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_735,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_736,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_737,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_738,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_739,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_740,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_741,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_742,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_743,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_744,type,
    produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).

tff(func_def_745,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_746,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_747,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_748,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_749,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_750,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_751,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_752,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_753,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_754,type,
    produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).

tff(func_def_755,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_756,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_757,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_758,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_759,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_760,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_761,type,
    frct: product_prod_int_int > rat ).

tff(func_def_762,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_763,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_764,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_765,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_766,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_767,type,
    positive: fun_rat_bool ).

tff(func_def_768,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_769,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_770,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_771,type,
    cr_real: fun_fu990398353789569848l_bool ).

tff(func_def_772,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_773,type,
    positive2: fun_real_bool ).

tff(func_def_774,type,
    realrel: fun_fu2636726645394866687t_bool ).

tff(func_def_775,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_776,type,
    vanishes: fun_nat_rat > bool ).

tff(func_def_777,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_778,type,
    real_V470468836141973256s_real: set_real ).

tff(func_def_779,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_780,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_781,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_782,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_783,type,
    real_V4546457046886955230omplex: real > complex ).

tff(func_def_784,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_785,type,
    real_V2046097035970521341omplex: ( real * complex ) > complex ).

tff(func_def_786,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_787,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_788,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_789,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_790,type,
    divide1717551699836669952omplex: ( complex * complex ) > complex ).

tff(func_def_791,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_792,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_793,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_794,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_795,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_796,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_797,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_798,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_799,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_800,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_801,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_802,type,
    modulo_modulo_int: ( int * int ) > int ).

tff(func_def_803,type,
    modulo_modulo_nat: nat > fun_nat_nat ).

tff(func_def_804,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_805,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_806,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_807,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_808,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_809,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_810,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_811,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_812,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_813,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_814,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_815,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_816,type,
    collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).

tff(func_def_817,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_818,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_819,type,
    collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).

tff(func_def_820,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_821,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_822,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_823,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_824,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_825,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_826,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_827,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_828,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_829,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_830,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_831,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_832,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_833,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_834,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_835,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_836,type,
    insert_bool: ( bool * set_bool ) > set_bool ).

tff(func_def_837,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_838,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_839,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_840,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_841,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat * nat ) > fun_nat_nat ).

tff(func_def_842,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_843,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_844,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_845,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_846,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_847,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_848,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_849,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_850,type,
    set_ord_atMost_nat: nat > set_nat ).

tff(func_def_851,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_852,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_853,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_854,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_855,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_856,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

tff(func_def_857,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_858,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_859,type,
    set_ord_lessThan_nat: nat > set_nat ).

tff(func_def_860,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_861,type,
    ascii_of: char > char ).

tff(func_def_862,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_863,type,
    size_char: char > nat ).

tff(func_def_864,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_865,type,
    integer_of_char: char > code_integer ).

tff(func_def_866,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_867,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_868,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_869,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_870,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_871,type,
    arccos: fun_real_real ).

tff(func_def_872,type,
    arcosh_real: fun_real_real ).

tff(func_def_873,type,
    arcsin: fun_real_real ).

tff(func_def_874,type,
    arctan: fun_real_real ).

tff(func_def_875,type,
    arsinh_real: fun_real_real ).

tff(func_def_876,type,
    artanh_real: fun_real_real ).

tff(func_def_877,type,
    cos_complex: complex > complex ).

tff(func_def_878,type,
    cos_real: fun_real_real ).

tff(func_def_879,type,
    cos_coeff: fun_nat_real ).

tff(func_def_880,type,
    cosh_complex: complex > complex ).

tff(func_def_881,type,
    cosh_real: fun_real_real ).

tff(func_def_882,type,
    cot_complex: complex > complex ).

tff(func_def_883,type,
    cot_real: fun_real_real ).

tff(func_def_884,type,
    exp_complex: complex > complex ).

tff(func_def_885,type,
    exp_real: fun_real_real ).

tff(func_def_886,type,
    ln_ln_real: fun_real_real ).

tff(func_def_887,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_888,type,
    pi: real ).

tff(func_def_889,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_890,type,
    sin_complex: complex > complex ).

tff(func_def_891,type,
    sin_real: fun_real_real ).

tff(func_def_892,type,
    sin_coeff: fun_nat_real ).

tff(func_def_893,type,
    sinh_complex: complex > complex ).

tff(func_def_894,type,
    sinh_real: fun_real_real ).

tff(func_def_895,type,
    tan_complex: complex > complex ).

tff(func_def_896,type,
    tan_real: fun_real_real ).

tff(func_def_897,type,
    tanh_complex: complex > complex ).

tff(func_def_898,type,
    tanh_real: fun_real_real ).

tff(func_def_899,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_900,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_901,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_902,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_903,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_904,type,
    vEBT_VEBT_high: nat > fun_nat_nat ).

tff(func_def_905,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_906,type,
    vEBT_VEBT_low: nat > fun_nat_nat ).

tff(func_def_907,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_908,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_909,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_910,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_911,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_912,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_913,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_914,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_915,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_916,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_917,type,
    vEBT_V8646137997579335489_i_l_d: fun_nat_nat ).

tff(func_def_918,type,
    vEBT_V8346862874174094_d_u_p: fun_nat_nat ).

tff(func_def_919,type,
    vEBT_V1247956027447740395_p_rel: fun_nat_fun_nat_bool ).

tff(func_def_920,type,
    vEBT_V5144397997797733112_d_rel: fun_nat_fun_nat_bool ).

tff(func_def_921,type,
    vEBT_VEBT_cnt: fun_VEBT_VEBT_real ).

tff(func_def_922,type,
    vEBT_VEBT_cnt_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_923,type,
    vEBT_VEBT_space: fun_VEBT_VEBT_nat ).

tff(func_def_924,type,
    vEBT_VEBT_space2: fun_VEBT_VEBT_nat ).

tff(func_def_925,type,
    vEBT_VEBT_space_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_926,type,
    vEBT_VEBT_space_rel2: fun_VE5877677516038742509T_bool ).

tff(func_def_927,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_928,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_929,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_930,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_931,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_932,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_933,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_934,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_935,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_936,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_937,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_938,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_939,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_940,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_941,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_942,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_943,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_944,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_945,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_946,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_947,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_948,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_949,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_950,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_951,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_952,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_953,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_954,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_955,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_956,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_957,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_958,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_959,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_960,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_961,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_962,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_963,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_964,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_965,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_966,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_967,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_968,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_969,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_970,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_971,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_972,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_973,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_974,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_975,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_976,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_977,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_978,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_979,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_980,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_981,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_982,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_983,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_984,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_985,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_986,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_987,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_988,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_989,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_990,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_991,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_992,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_993,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_994,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_995,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_996,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_997,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_998,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_999,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1000,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1001,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1002,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1003,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1004,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1005,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1006,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1007,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1008,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1009,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1010,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1011,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1012,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1013,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1014,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1015,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1016,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1017,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1018,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1019,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1020,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_1021,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1022,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1023,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1024,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1025,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1026,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1027,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1028,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1029,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1030,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1031,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1032,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1033,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1034,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1035,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1036,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1037,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1038,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1039,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1040,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1041,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1042,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1043,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1044,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1045,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1046,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1047,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1048,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1049,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1050,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1051,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1052,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1053,type,
    aa_set_nat_real: ( fun_set_nat_real * set_nat ) > real ).

tff(func_def_1054,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1055,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1056,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1057,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1058,type,
    aa_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * vEBT_VEBT ) > real ).

tff(func_def_1059,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1060,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1061,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1062,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1063,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1064,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1065,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1066,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1067,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_1068,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1069,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1070,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1071,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1072,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_1073,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1074,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1075,type,
    aa_fun5258240734392065441l_bool: ( fun_fu990398353789569848l_bool * fun_nat_rat ) > fun_real_bool ).

tff(func_def_1076,type,
    aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).

tff(func_def_1077,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1078,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1079,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1080,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1081,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_1082,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1083,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_1084,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_1085,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1086,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1087,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_1088,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_1089,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_1090,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1091,type,
    aa_fun9137951878280015556l_bool: ( fun_fu7307090382573344987l_bool * fun_real_real ) > bool ).

tff(func_def_1092,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_1093,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1094,type,
    aa_fun7221085148252759141l_bool: ( fun_fu8602805464270671924l_bool * fun_fun_nat_rat_bool ) > fun_fu7511176317168184086l_bool ).

tff(func_def_1095,type,
    aa_fun1696419067750587730t_bool: ( fun_fu8308374331699588969t_bool * fun_fu8328862064278946247at_rat ) > bool ).

tff(func_def_1096,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1097,type,
    aa_fun9159459243913713430l_bool: ( fun_fu762719556336274221l_bool * fun_fu8328862064278946247at_rat ) > fun_fu7307090382573344987l_bool ).

tff(func_def_1098,type,
    aa_fun4901480949278917796t_bool: ( fun_fu4669108322068655547t_bool * fun_fu8328862064278946247at_rat ) > fun_fu8308374331699588969t_bool ).

tff(func_def_1099,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1100,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1101,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1102,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1103,type,
    fFalse: bool ).

tff(func_def_1104,type,
    fNot: fun_bool_bool ).

tff(func_def_1105,type,
    fTrue: bool ).

tff(func_def_1106,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1107,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1108,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1109,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1110,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1111,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1112,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1113,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1114,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1115,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1116,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1117,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1118,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1119,type,
    va: nat ).

tff(func_def_1120,type,
    sK15: fun_nat_bool > nat ).

tff(func_def_1121,type,
    sK16: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1122,type,
    sK17: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1123,type,
    sK18: nat > nat ).

tff(func_def_1124,type,
    sK19: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1125,type,
    sK20: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1126,type,
    sK21: nat > nat ).

tff(func_def_1127,type,
    sK22: ( nat * nat ) > nat ).

tff(func_def_1128,type,
    sK23: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1129,type,
    sK24: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1130,type,
    sK25: fun_nat_fun_nat_bool > nat ).

tff(func_def_1131,type,
    sK26: fun_nat_fun_nat_bool > nat ).

tff(func_def_1132,type,
    sK27: fun_nat_fun_nat_bool > nat ).

tff(func_def_1133,type,
    sK28: fun_nat_fun_nat_bool > nat ).

tff(func_def_1134,type,
    sK29: ( nat * nat ) > nat ).

tff(func_def_1135,type,
    sK30: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1136,type,
    sK31: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1137,type,
    sK32: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1138,type,
    sK33: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1139,type,
    sK34: ( nat * nat ) > nat ).

tff(func_def_1140,type,
    sK35: ( nat * nat ) > nat ).

tff(func_def_1141,type,
    sK36: fun_nat_nat > nat ).

tff(func_def_1142,type,
    sK37: fun_nat_nat > nat ).

tff(func_def_1143,type,
    sK38: nat > nat ).

tff(func_def_1144,type,
    sK39: fun_nat_bool > nat ).

tff(func_def_1145,type,
    sK40: fun_nat_fun_nat_bool > nat ).

tff(func_def_1146,type,
    sK41: fun_nat_fun_nat_bool > nat ).

tff(func_def_1147,type,
    sK42: fun_nat_fun_nat_bool > nat ).

tff(func_def_1148,type,
    sK43: fun_nat_fun_nat_bool > nat ).

tff(func_def_1149,type,
    sK44: fun_nat_bool > nat ).

tff(func_def_1150,type,
    sK45: nat > nat ).

tff(func_def_1151,type,
    sK46: nat > nat ).

tff(func_def_1152,type,
    sK47: nat > nat ).

tff(func_def_1153,type,
    sK48: ( real * real ) > nat ).

tff(func_def_1154,type,
    sK49: real > nat ).

tff(func_def_1155,type,
    sK50: real > nat ).

tff(func_def_1156,type,
    sK51: real > nat ).

tff(func_def_1157,type,
    sK52: ( real * real ) > nat ).

tff(func_def_1158,type,
    sK53: ( real * real ) > nat ).

tff(func_def_1159,type,
    sK54: num > num ).

tff(func_def_1160,type,
    sK55: num > num ).

tff(func_def_1161,type,
    sK56: fun_re1255401033344146673l_bool > real ).

tff(func_def_1162,type,
    sK57: fun_re1255401033344146673l_bool > real ).

tff(func_def_1163,type,
    sK58: fun_re1255401033344146673l_bool > real ).

tff(func_def_1164,type,
    sK59: fun_re1255401033344146673l_bool > real ).

tff(func_def_1165,type,
    sK60: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1166,type,
    sK61: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1167,type,
    sK62: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1168,type,
    sK63: ( nat * nat ) > nat ).

tff(func_def_1169,type,
    sK64: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1170,type,
    sK65: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1171,type,
    sK66: ( nat * nat ) > nat ).

tff(func_def_1172,type,
    sK67: ( nat * nat ) > nat ).

tff(func_def_1173,type,
    sK68: ( real * vEBT_VEBT ) > bool ).

tff(func_def_1174,type,
    sK69: ( real * vEBT_VEBT ) > bool ).

tff(func_def_1175,type,
    sK70: ( vEBT_VEBT * real ) > option4927543243414619207at_nat ).

tff(func_def_1176,type,
    sK71: ( vEBT_VEBT * real ) > nat ).

tff(func_def_1177,type,
    sK72: ( vEBT_VEBT * real ) > list_VEBT_VEBT ).

tff(func_def_1178,type,
    sK73: ( vEBT_VEBT * real ) > vEBT_VEBT ).

tff(func_def_1179,type,
    sK74: ( vEBT_VEBT * real ) > option4927543243414619207at_nat ).

tff(func_def_1180,type,
    sK75: ( vEBT_VEBT * real ) > nat ).

tff(func_def_1181,type,
    sK76: ( vEBT_VEBT * real ) > list_VEBT_VEBT ).

tff(func_def_1182,type,
    sK77: ( vEBT_VEBT * real ) > vEBT_VEBT ).

tff(func_def_1183,type,
    sK78: vEBT_VEBT > bool ).

tff(func_def_1184,type,
    sK79: vEBT_VEBT > bool ).

tff(func_def_1185,type,
    sK80: fun_nat_real > nat ).

tff(func_def_1186,type,
    sK81: fun_nat_real > nat ).

tff(func_def_1187,type,
    sK82: fun_nat_real > nat ).

tff(func_def_1188,type,
    sK83: fun_nat_real > nat ).

tff(func_def_1189,type,
    sK84: fun_nat_real > nat ).

tff(func_def_1190,type,
    sK85: fun_nat_real > nat ).

tff(func_def_1191,type,
    sK86: ( list_VEBT_VEBT * fun_VEBT_VEBT_real ) > vEBT_VEBT ).

tff(pred_def_1,type,
    bNF_re5780769757191362231t_bool: ( fun_int_fun_int_bool * fun_fu7925731147167280621l_bool * fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_bool * fun_fu8467804991414204575t_bool * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_4,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_5,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_bool * fun_int_fun_int_bool * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_6,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_7,type,
    bNF_re5651586111134833323nt_int: ( fun_nat_fun_nat_bool * fun_fu8467804991414204575t_bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > $o ).

tff(pred_def_8,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_9,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_10,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_11,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_12,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_13,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_14,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_15,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_16,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_17,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_18,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_19,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_20,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_21,type,
    bNF_re8935275315890131625l_bool: ( fun_fu990398353789569848l_bool * fun_fu8602805464270671924l_bool * fun_fu2636726645394866687t_bool * fun_re1255401033344146673l_bool ) > $o ).

tff(pred_def_22,type,
    bNF_re1162444993429354318l_real: ( fun_fu990398353789569848l_bool * fun_fu762719556336274221l_bool * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_23,type,
    bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).

tff(pred_def_24,type,
    bNF_re769765379126235449at_rat: ( fun_fu2636726645394866687t_bool * fun_fu4669108322068655547t_bool * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_25,type,
    boolea2445317508997433345nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger * code_integer * code_integer * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_26,type,
    boolea8527374999097803216ff_int: ( fun_int_fun_int_int * fun_int_fun_int_int * fun_int_int * int * int * fun_int_fun_int_int ) > $o ).

tff(pred_def_27,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_28,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_29,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_30,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_31,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_32,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_33,type,
    filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).

tff(pred_def_34,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_35,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_36,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_37,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_38,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_39,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_40,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_41,type,
    bij_betw_nat_int: ( fun_nat_int * set_nat * set_int ) > $o ).

tff(pred_def_42,type,
    inj_on_int_nat: ( fun_int_nat * set_int ) > $o ).

tff(pred_def_43,type,
    inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).

tff(pred_def_44,type,
    inj_on2178005380612969504at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_45,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_46,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_47,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_48,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_49,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_50,type,
    sorted_wrt_int: ( fun_int_fun_int_bool * list_int ) > $o ).

tff(pred_def_51,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool * option4927543243414619207at_nat ) > $o ).

tff(pred_def_52,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_53,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_54,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_55,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_56,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_57,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_58,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_59,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_60,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_61,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_62,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_63,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_64,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_65,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_66,type,
    order_mono_real_real: fun_real_real > $o ).

tff(pred_def_67,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_68,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_69,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_70,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_71,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_72,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_73,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_74,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_75,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_77,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_78,type,
    bi_tot896582865486249351at_int: fun_Pr5932607294251420486t_bool > $o ).

tff(pred_def_79,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_80,type,
    accp_P4275260045618599050at_nat: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > $o ).

tff(pred_def_81,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_82,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_83,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_84,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_85,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_86,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_87,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_88,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_89,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_90,type,
    member_list_real: ( list_real * set_list_real ) > $o ).

tff(pred_def_91,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_92,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_93,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_94,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_95,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_96,type,
    pp: bool > $o ).

tff(pred_def_97,type,
    sP0: ( real * num * real ) > $o ).

tff(pred_def_98,type,
    sP1: ( real * real * num ) > $o ).

tff(pred_def_99,type,
    sP2: ( real * num * real ) > $o ).

tff(pred_def_100,type,
    sP3: ( real * real * num ) > $o ).

tff(pred_def_101,type,
    sP4: ( real * real * real ) > $o ).

tff(pred_def_102,type,
    sP5: ( real * real * real ) > $o ).

tff(pred_def_103,type,
    sP6: ( real * real * real ) > $o ).

tff(pred_def_104,type,
    sP7: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_105,type,
    sP8: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_106,type,
    sP9: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_107,type,
    sP10: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_108,type,
    sP11: ( nat * nat ) > $o ).

tff(pred_def_109,type,
    sP12: ( nat * nat ) > $o ).

tff(pred_def_110,type,
    sP13: ( nat * nat ) > $o ).

tff(pred_def_111,type,
    sP14: ( real * vEBT_VEBT ) > $o ).

tff(f1,axiom,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_False) ).

tff(f2,axiom,
    ! [X0: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))))
     => ( ( X0 = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) )
       => pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,X0)))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,X0)))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C3_OIH_C_I3_J) ).

tff(f6,axiom,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,X0))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_div2__Suc__Suc) ).

tff(f872,axiom,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_871_numeral__2__eq__2) ).

tff(f1046,axiom,
    ! [X0: real,X1: real] : ( aa_real_real(aa_rea7340605660300375871l_real(times_times_real,X0),X1) = aa_real_real(aa_rea7340605660300375871l_real(times_times_real,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1045_mult_Ocommute) ).

tff(f10511,conjecture,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10512,negated_conjecture,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))),
    inference(negated_conjecture,[status(cth)],[f10511]) ).

tff(f10513,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))),
    inference(flattening,[],[f10512]) ).

tff(f10820,plain,
    ! [X0: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,X0)))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,X0)))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))))
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f10821,plain,
    ! [X0: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,X0)))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,X0)))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))))
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
    inference(flattening,[],[f10820]) ).

tff(f11116,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))),
    inference(cnf_transformation,[],[f10513]) ).

tff(f11204,plain,
    ! [X0: real,X1: real] : ( aa_real_real(aa_rea7340605660300375871l_real(times_times_real,X0),X1) = aa_real_real(aa_rea7340605660300375871l_real(times_times_real,X1),X0) ),
    inference(cnf_transformation,[],[f1046]) ).

tff(f11333,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f872]) ).

tff(f11792,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,X0))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f11821,plain,
    ! [X0: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,X0)))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,X0)))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))))
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
    inference(cnf_transformation,[],[f10821]) ).

tff(f11869,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
    inference(cnf_transformation,[],[f1]) ).

tff(f11978,plain,
    ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))))
    | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
    inference(equality_resolution,[],[f11821]) ).

tff(f12020,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))),
    inference(forward_subsumption_resolution,[],[f11978,f11869]) ).

tff(f12077,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))))))),
    inference(forward_demodulation,[],[f11116,f11333]) ).

tff(f12078,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))))),
    inference(forward_demodulation,[],[f12020,f11204]) ).

tff(f12081,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))),
    inference(forward_demodulation,[],[f12078,f11792]) ).

tff(f12083,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,aa_nat_real(semiri5074537144036343181t_real,aa_nat_nat(vEBT_V8646137997579335489_i_l_d,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))))),aa_real_real(aa_rea7340605660300375871l_real(times_times_real,aa_num_real(numeral_numeral_real,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_VEBT_VEBT_real(vEBT_VEBT_cnt,vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))))))),
    inference(forward_demodulation,[],[f12081,f11333]) ).

tff(f12085,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f12083,f12077]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP280_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43  % Computer : n020.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Sun Sep 27 12:48:04 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/3.04  % (3346025)Detected formulas, will run a generic FOF schedule.
% 7.58/3.04  % (3346036)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=67323549:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 7.58/3.04  % (3346039)dis-21_1_sil=8000:lcm=predicate:random_seed=2886374357:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 7.58/3.04  % (3346034)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=3344738978:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 7.58/3.04  % (3346032)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=1649894089:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 7.58/3.04  % (3346033)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=2577785192:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 7.58/3.04  % (3346036)Instruction limit reached! 
% 7.58/3.04  % (3346036)------------------------------
% 7.58/3.04  % (3346036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346036)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346036)Termination reason: Instruction limit
% 7.58/3.04  % (3346036)Termination phase: Naming
% 7.58/3.04  % (3346036)Time elapsed: 0.076 s
% 7.58/3.04  % (3346036)Peak memory usage: 95 MB
% 7.58/3.04  % (3346036)Instructions burned: 119 (million)
% 7.58/3.04  % (3346037)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3220550842:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 7.58/3.04  % (3346039)Instruction limit reached! 
% 7.58/3.04  % (3346039)------------------------------
% 7.58/3.04  % (3346039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346039)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346039)Termination reason: Instruction limit
% 7.58/3.04  % (3346039)Termination phase: Preprocessing 2
% 7.58/3.04  % (3346039)Time elapsed: 0.112 s
% 7.58/3.04  % (3346039)Peak memory usage: 95 MB
% 7.58/3.04  % (3346039)Instructions burned: 129 (million)
% 7.58/3.04  % (3346035)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1524705386:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 7.58/3.04  % (3346035)Instruction limit reached! 
% 7.58/3.04  % (3346035)------------------------------
% 7.58/3.04  % (3346035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346035)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346035)Termination reason: Instruction limit
% 7.58/3.04  % (3346035)Termination phase: Blocked clause elimination
% 7.58/3.04  % (3346035)Time elapsed: 0.104 s
% 7.58/3.04  % (3346035)Peak memory usage: 96 MB
% 7.58/3.04  % (3346035)Instructions burned: 109 (million)
% 7.58/3.04  % (3346037)Instruction limit reached! 
% 7.58/3.04  % (3346037)------------------------------
% 7.58/3.04  % (3346037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346037)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346037)Termination reason: Instruction limit
% 7.58/3.04  % (3346037)Termination phase: Property scanning
% 7.58/3.04  % (3346037)Time elapsed: 0.112 s
% 7.58/3.04  % (3346037)Peak memory usage: 93 MB
% 7.58/3.04  % (3346037)Instructions burned: 139 (million)
% 7.58/3.04  % (3346047)lrs+10_1_sil=8000:sp=occurrence:random_seed=1826879009:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 7.58/3.04  % (3346050)lrs+10_1_sil=32000:urr=on:br=off:random_seed=643145882:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 7.58/3.04  % (3346047)Instruction limit reached! 
% 7.58/3.04  % (3346047)------------------------------
% 7.58/3.04  % (3346047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346052)lrs+1011_1_sil=32000:sp=occurrence:random_seed=799714075:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 7.58/3.04  % (3346047)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346047)Termination reason: Instruction limit
% 7.58/3.04  % (3346047)Termination phase: Property scanning
% 7.58/3.04  % (3346047)Time elapsed: 0.144 s
% 7.58/3.04  % (3346047)Peak memory usage: 98 MB
% 7.58/3.04  % (3346047)Instructions burned: 286 (million)
% 7.58/3.04  % (3346053)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=1554785359:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 7.58/3.04  % (3346050)Instruction limit reached! 
% 7.58/3.04  % (3346050)------------------------------
% 7.58/3.04  % (3346050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346050)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346050)Termination reason: Instruction limit
% 7.58/3.04  % (3346050)Termination phase: Property scanning
% 7.58/3.04  % (3346050)Time elapsed: 0.124 s
% 7.58/3.04  % (3346050)Peak memory usage: 94 MB
% 7.58/3.04  % (3346050)Instructions burned: 158 (million)
% 7.58/3.04  % (3346052)First to succeed.
% 7.58/3.04  % (3346052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3346025"
% 7.58/3.04  % (3346059)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1137640302:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 7.58/3.04  % (3346053)Instruction limit reached! 
% 7.58/3.04  % (3346053)------------------------------
% 7.58/3.04  % (3346053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.58/3.04  % (3346053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/3.04  % (3346053)CaDiCaL version: 2.1.3
% 7.58/3.04  % (3346053)Termination reason: Instruction limit
% 7.58/3.04  % (3346053)Termination phase: SInE selection
% 7.58/3.04  % (3346053)Time elapsed: 0.206 s
% 7.58/3.04  % (3346053)Peak memory usage: 94 MB
% 7.58/3.04  % (3346053)Instructions burned: 248 (million)
% 7.58/3.04  % (3346061)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3463426499:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 7.58/3.04  % (3346059)Instruction limit reached! 
% 7.58/3.04  % (3346059)------------------------------
% 9.70/3.04  % (3346059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/3.04  % (3346059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/3.04  % (3346059)CaDiCaL version: 2.1.3
% 9.70/3.04  % (3346059)Termination reason: Instruction limit
% 9.70/3.04  % (3346059)Termination phase: Property scanning
% 9.70/3.04  % (3346059)Time elapsed: 0.172 s
% 9.70/3.04  % (3346059)Peak memory usage: 101 MB
% 9.70/3.04  % (3346059)Instructions burned: 295 (million)
% 9.70/3.04  % (3346065)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3837670255:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 9.70/3.04  % (3346052)Refutation found. Thanks to Tanya!
% 9.70/3.04  % SZS status Theorem for theBenchmark
% 9.70/3.04  % SZS output start Proof for theBenchmark
% See solution above
% 9.86/3.28  % (3346052)------------------------------
% 9.86/3.28  % (3346052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/3.28  % (3346052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/3.28  % (3346052)CaDiCaL version: 2.1.3
% 9.86/3.28  % (3346052)Termination reason: Refutation
% 9.86/3.28  % (3346052)Time elapsed: 0.143 s
% 9.86/3.28  % (3346052)Peak memory usage: 98 MB
% 9.86/3.28  % (3346052)Instructions burned: 150 (million)
% 9.86/3.28  % (3346052)------------------------------
% 9.86/3.28  % (3346052)------------------------------
% 9.86/3.28  % (3346025)Success in time 1.974 s
% 9.86/3.28  % Vampire exiting
%------------------------------------------------------------------------------