Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP223_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:42 AM UTC 2026

% Result   : Theorem 25.13s 9.37s
% Output   : Refutation 57.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  242 ( 241 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  836 ( 834 usr;   1 prp; 0-5 aty)
%            Number of functors    : 2173 (2173 usr; 418 con; 0-8 aty)
%            Number of variables   :   26 (  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_6,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_7,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_8,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_9,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_10,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_11,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_12,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_13,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_14,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_15,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_16,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_17,type,
    fun_Pr7804344347641417161at_nat: $tType ).

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

tff(type_def_19,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_20,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_21,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_22,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_23,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_24,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_25,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_26,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_27,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_28,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_29,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_30,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_31,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_32,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_33,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_34,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_35,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_36,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_37,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_38,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_39,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_40,type,
    fun_se8977052110697326915T_VEBT: $tType ).

tff(type_def_41,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_42,type,
    fun_se1791420423458939253et_nat: $tType ).

tff(type_def_43,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_44,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_45,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_46,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_47,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_48,type,
    set_op4508134149509766951at_nat: $tType ).

tff(type_def_49,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_50,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_51,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_52,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_53,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_54,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_55,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_56,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_57,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_58,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_59,type,
    list_P7524865323317820941T_VEBT: $tType ).

tff(type_def_60,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_61,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_62,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_63,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_64,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_65,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_66,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_67,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_68,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_69,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_70,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_71,type,
    fun_se1662534974915103173omplex: $tType ).

tff(type_def_72,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_73,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_74,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_75,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_76,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_77,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_78,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_79,type,
    list_P8526636022914148096eger_o: $tType ).

tff(type_def_80,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_81,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_82,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_83,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_84,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_85,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_86,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_87,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_88,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_89,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_90,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_91,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_92,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_93,type,
    list_P3521021558325789923at_int: $tType ).

tff(type_def_94,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_95,type,
    fun_se8020766253744352065t_real: $tType ).

tff(type_def_96,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_97,type,
    produc8025551001238799321T_VEBT: $tType ).

tff(type_def_98,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_99,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_100,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_101,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_102,type,
    fun_Pr3238374608701176162_int_o: $tType ).

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

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

tff(type_def_105,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_106,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_107,type,
    fun_na8563630686737515764_nat_o: $tType ).

tff(type_def_108,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_109,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_110,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_111,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_112,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_113,type,
    list_P5087981734274514673_int_o: $tType ).

tff(type_def_114,type,
    list_P3795440434834930179_o_int: $tType ).

tff(type_def_115,type,
    produc334124729049499915VEBT_o: $tType ).

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

tff(type_def_117,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_118,type,
    produc6271795597528267376eger_o: $tType ).

tff(type_def_119,type,
    fun_co4340422964966740447T_VEBT: $tType ).

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

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

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

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

tff(type_def_124,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

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

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

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

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

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

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

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

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

tff(type_def_135,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_2,type,
    aTP_Lamm_ab: set_set_nat > fun_set_nat_o ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_nat > fun_nat_o ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_int > fun_int_o ).

tff(func_def_5,type,
    aTP_Lamm_ae: fun_nat_nat ).

tff(func_def_6,type,
    aTP_Lamm_af: fun_int_int ).

tff(func_def_7,type,
    aTP_Lamm_ag: complex > fun_complex_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_nat > fun_set_nat_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_real_fun_real_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: $o > fun_o_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_nat_fun_nat_o ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_int_fun_int_o ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_int_fun_int_o ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_fun_nat_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: nat > fun_nat_fun_nat_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_fun_nat_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_re4238438383274954274t_real ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_re4238438383274954274t_real ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_re4238438383274954274t_real ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_nat_real ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_nat_real > fun_nat_real ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_re4238438383274954274t_real ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_nat_real ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_real > fun_nat_real ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_re4238438383274954274t_real ).

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

tff(func_def_29,type,
    aTP_Lamm_bc: fun_nat_fun_nat_nat ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_fun_nat_nat ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_nat_fun_nat_nat ).

tff(func_def_32,type,
    aTP_Lamm_bf: nat > fun_nat_fun_nat_nat ).

tff(func_def_33,type,
    aTP_Lamm_bg: nat > fun_na3244735409550470327at_nat ).

tff(func_def_34,type,
    aTP_Lamm_bh: nat > fun_na3244735409550470327at_nat ).

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

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_nat_fun_nat_nat ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_nat_fun_nat_nat ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_fun_nat_o ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_complex_complex ).

tff(func_def_42,type,
    aTP_Lamm_bp: nat > fun_co1148497455491383662plex_o ).

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

tff(func_def_44,type,
    aTP_Lamm_br: fun_re4238438383274954274t_real ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_re4238438383274954274t_real ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_nat_real ).

tff(func_def_47,type,
    aTP_Lamm_bu: real > fun_fu6899955116716589935t_real ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_51,type,
    aTP_Lamm_by: fun_re4238438383274954274t_real ).

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

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

tff(func_def_54,type,
    aTP_Lamm_cb: fun_real_fun_real_o ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_real_fun_real_o ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_real_o ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_real_fun_real_o ).

tff(func_def_58,type,
    aTP_Lamm_cf: num > fun_na4138050610385705875at_nat ).

tff(func_def_59,type,
    aTP_Lamm_cg: num > fun_in1696471567231710611nt_int ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_real_o ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_real_fun_real_o ).

tff(func_def_62,type,
    aTP_Lamm_cj: complex > fun_na1554462459066888140plex_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_na4138050610385705875at_nat ).

tff(func_def_64,type,
    aTP_Lamm_cl: real > fun_int_o ).

tff(func_def_65,type,
    aTP_Lamm_cm: rat > fun_int_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_nat_fun_nat_o ).

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

tff(func_def_70,type,
    aTP_Lamm_cr: int > fun_int_fun_int_o ).

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

tff(func_def_72,type,
    aTP_Lamm_ct: int > fun_int_fun_int_o ).

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

tff(func_def_74,type,
    aTP_Lamm_cv: int > fun_int_fun_int_o ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_in1696471567231710611nt_int ).

tff(func_def_76,type,
    aTP_Lamm_cx: int > fun_in2204242111582549184nt_int ).

tff(func_def_77,type,
    aTP_Lamm_cy: rat > fun_in1696471567231710611nt_int ).

tff(func_def_78,type,
    aTP_Lamm_cz: int > fun_in2204242111582549184nt_int ).

tff(func_def_79,type,
    aTP_Lamm_da: rat > fun_in1696471567231710611nt_int ).

tff(func_def_80,type,
    aTP_Lamm_db: int > fun_in5570076352459579423_int_o ).

tff(func_def_81,type,
    aTP_Lamm_dc: rat > fun_int_fun_int_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: int > fun_in5570076352459579423_int_o ).

tff(func_def_83,type,
    aTP_Lamm_de: rat > fun_int_fun_int_o ).

tff(func_def_84,type,
    aTP_Lamm_df: fun_nat_fun_nat_nat ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_86,type,
    aTP_Lamm_dh: int > fun_int_int ).

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

tff(func_def_88,type,
    aTP_Lamm_dj: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_89,type,
    aTP_Lamm_dk: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_90,type,
    aTP_Lamm_dl: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_nat_o ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_o ).

tff(func_def_93,type,
    aTP_Lamm_do: set_nat > fun_nat_fun_nat_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: set_nat > fun_nat_fun_nat_o ).

tff(func_def_95,type,
    aTP_Lamm_dq: nat > fun_na8563630686737515764_nat_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_nat_fun_nat_nat ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_nat_fun_nat_nat ).

tff(func_def_98,type,
    aTP_Lamm_dt: int > fun_int_fun_int_o ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_nat_real > fun_nat_real ).

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

tff(func_def_101,type,
    aTP_Lamm_dw: fun_nat_fun_nat_nat ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_na6724076748692969250l_real ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_real_real ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_re4238438383274954274t_real ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_na6724076748692969250l_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_re7681423839302404990l_real ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_111,type,
    aTP_Lamm_eg: real > fun_fu5589980185390252312t_real ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_115,type,
    aTP_Lamm_ek: nat > fun_fu3612569900928539882l_real ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_nat_real > fun_re4238438383274954274t_real ).

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

tff(func_def_120,type,
    aTP_Lamm_ep: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

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

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

tff(func_def_123,type,
    aTP_Lamm_es: fun_real_real ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_real > fun_nat_real ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_nat_fun_nat_nat ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_nat_real ).

tff(func_def_127,type,
    aTP_Lamm_ew: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_nat_real > fun_nat_real ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_re4238438383274954274t_real ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_nat_real ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_re4238438383274954274t_real ).

tff(func_def_133,type,
    aTP_Lamm_fc: real > fun_re4238438383274954274t_real ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_re4238438383274954274t_real ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_re4238438383274954274t_real ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_re4238438383274954274t_real ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_re4238438383274954274t_real ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_nat_real > fun_fu6119738925743952495t_real ).

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

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

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

tff(func_def_143,type,
    aTP_Lamm_fm: fun_re7681423839302404990l_real ).

tff(func_def_144,type,
    aTP_Lamm_fn: nat > fun_fu3077872570260440615l_real ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_real_real ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_na6724076748692969250l_real ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_re7681423839302404990l_real ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_real_real > fun_real_o ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_real_real > fun_fu3077872570260440615l_real ).

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

tff(func_def_152,type,
    aTP_Lamm_fv: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_real_o > fun_real_fun_real_o ).

tff(func_def_154,type,
    aTP_Lamm_fx: real > fun_real_fun_real_o ).

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

tff(func_def_156,type,
    aTP_Lamm_fz: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_real_real > fun_real_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_real_real > fun_real_real ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_real_real > fun_real_real ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_nat_fun_nat_nat ).

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

tff(func_def_162,type,
    aTP_Lamm_gf: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_Co3583066429914935172er_nat ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_nat_fun_nat_o ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_Co1092983284983208416er_int ).

tff(func_def_166,type,
    aTP_Lamm_gj: nat > fun_na4143055713577223196at_nat ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_na1668100129766719005at_nat ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_na4138050610385705875at_nat ).

tff(func_def_169,type,
    aTP_Lamm_gm: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_na5914473681949881652_nat_o ).

tff(func_def_171,type,
    aTP_Lamm_go: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_na5914473681949881652_nat_o ).

tff(func_def_173,type,
    aTP_Lamm_gq: nat > fun_na4143055713577223196at_nat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_na1668100129766719005at_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: nat > fun_na4143055713577223196at_nat ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_na1668100129766719005at_nat ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_nat_set_nat ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_nat_fun_nat_nat ).

tff(func_def_179,type,
    aTP_Lamm_gw: real > fun_co1148497455491383662plex_o ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_re3844104906058862192omplex ).

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

tff(func_def_182,type,
    aTP_Lamm_gz: fun_re5512370375968561900l_real ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_nat_fun_nat_o ).

tff(func_def_184,type,
    aTP_Lamm_hb: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_185,type,
    aTP_Lamm_hc: set_int > fun_int_o ).

tff(func_def_186,type,
    aTP_Lamm_hd: num > fun_num_int ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_num_option_num ).

tff(func_def_188,type,
    aTP_Lamm_hf: num > fun_nat_option_num ).

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

tff(func_def_190,type,
    aTP_Lamm_hh: fun_nat_option_num ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_num_option_num ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_real_o ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_real_o ).

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

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

tff(func_def_196,type,
    aTP_Lamm_hn: num > fun_nat_option_num ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_na7595719129879163854on_num ).

tff(func_def_198,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_199,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_200,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_201,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_202,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_203,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_204,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_205,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_206,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_207,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_208,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_209,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_210,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_211,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_212,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_213,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_214,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_215,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_216,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_217,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_218,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_219,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_220,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_221,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_222,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_223,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_224,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_225,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_226,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_227,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_228,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_229,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_230,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_231,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_232,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_233,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_234,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_235,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_236,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_237,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_238,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_239,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_240,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_241,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_242,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_243,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_244,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_245,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_246,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_247,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_248,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_249,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_250,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_o ).

tff(func_def_251,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_252,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_253,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_254,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option_num ).

tff(func_def_255,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_256,type,
    bit_un2480387367778600638or_num: ( num * num ) > option_num ).

tff(func_def_257,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_258,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_259,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_260,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_261,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_262,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_263,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_264,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_265,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_266,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_267,type,
    code_Target_negative: fun_num_int ).

tff(func_def_268,type,
    code_Target_positive: fun_num_int ).

tff(func_def_269,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_270,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_271,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_272,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_273,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_274,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_275,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_276,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_277,type,
    arg: fun_complex_real ).

tff(func_def_278,type,
    cis: fun_real_complex ).

tff(func_def_279,type,
    cnj: fun_complex_complex ).

tff(func_def_280,type,
    complex2: real > fun_real_complex ).

tff(func_def_281,type,
    im: fun_complex_real ).

tff(func_def_282,type,
    re: fun_complex_real ).

tff(func_def_283,type,
    csqrt: fun_complex_complex ).

tff(func_def_284,type,
    imaginary_unit: complex ).

tff(func_def_285,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_286,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_287,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_288,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_289,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_290,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_291,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_292,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_293,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_294,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_295,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_296,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_297,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_298,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_299,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_300,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_301,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_302,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_303,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_304,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_305,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_306,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_307,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_308,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_309,type,
    at_bot_real: filter_real ).

tff(func_def_310,type,
    at_top_int: filter_int ).

tff(func_def_311,type,
    at_top_nat: filter_nat ).

tff(func_def_312,type,
    at_top_real: filter_real ).

tff(func_def_313,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_314,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_315,type,
    finite_card_o: set_o > nat ).

tff(func_def_316,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_317,type,
    finite_card_int: set_int > nat ).

tff(func_def_318,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_319,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_320,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_321,type,
    finite_card_char: set_char > nat ).

tff(func_def_322,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_323,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_324,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_325,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_326,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_327,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_328,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_329,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_330,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_331,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_332,type,
    id_o: fun_o_o ).

tff(func_def_333,type,
    id_nat: fun_nat_nat ).

tff(func_def_334,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_335,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_336,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_337,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_338,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_339,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_340,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_341,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_342,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_343,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_344,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_345,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_346,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_347,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_348,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_349,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_350,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_351,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_352,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_353,type,
    abs_abs_int: fun_int_int ).

tff(func_def_354,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_355,type,
    abs_abs_real: fun_real_real ).

tff(func_def_356,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_357,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_358,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_359,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_360,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_361,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_362,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_363,type,
    minus_minus_set_o: ( set_o * set_o ) > set_o ).

tff(func_def_364,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_365,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_366,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_367,type,
    minus_minus_set_rat: ( set_rat * set_rat ) > set_rat ).

tff(func_def_368,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_369,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_370,type,
    minus_5127226145743854075T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_371,type,
    one_one_Code_integer: code_integer ).

tff(func_def_372,type,
    one_one_complex: complex ).

tff(func_def_373,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_374,type,
    one_one_int: int ).

tff(func_def_375,type,
    one_one_nat: nat ).

tff(func_def_376,type,
    one_one_rat: rat ).

tff(func_def_377,type,
    one_one_real: real ).

tff(func_def_378,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_379,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_380,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_381,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_382,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_383,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_384,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_385,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_386,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_387,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_388,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_389,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_390,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_391,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_392,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_393,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_394,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_395,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_396,type,
    times_times_num: num > fun_num_num ).

tff(func_def_397,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_398,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_399,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_400,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_401,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_402,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_403,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_404,type,
    uminus_uminus_set_o: set_o > set_o ).

tff(func_def_405,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

tff(func_def_406,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_407,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_408,type,
    uminus2201863774496077783et_rat: set_rat > set_rat ).

tff(func_def_409,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_410,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_411,type,
    uminus8041839845116263051T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_412,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_413,type,
    zero_zero_complex: complex ).

tff(func_def_414,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_415,type,
    zero_zero_int: int ).

tff(func_def_416,type,
    zero_zero_nat: nat ).

tff(func_def_417,type,
    zero_zero_rat: rat ).

tff(func_def_418,type,
    zero_zero_real: real ).

tff(func_def_419,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_420,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_421,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_422,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_423,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_424,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_425,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_426,type,
    groups3417619833198082522nteger: ( fun_o_Code_integer * code_integer * list_o ) > code_integer ).

tff(func_def_427,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_428,type,
    groups9119017779487936845_o_nat: ( fun_o_nat * nat * list_o ) > nat ).

tff(func_def_429,type,
    the_int: fun_int_o > int ).

tff(func_def_430,type,
    the_real: fun_real_o > real ).

tff(func_def_431,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_432,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_433,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_434,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_435,type,
    nat2: fun_int_nat ).

tff(func_def_436,type,
    power_int_real: real > fun_int_real ).

tff(func_def_437,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_438,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_439,type,
    ring_1_Ints_int: set_int ).

tff(func_def_440,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_441,type,
    ring_1_Ints_real: set_real ).

tff(func_def_442,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_443,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_444,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_445,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_446,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_447,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_448,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_449,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_450,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_451,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_452,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_453,type,
    lattic4275903605611617917x_real: set_real > real ).

tff(func_def_454,type,
    at_infinity_real: filter_real ).

tff(func_def_455,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_456,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_457,type,
    distinct_int: fun_list_int_o ).

tff(func_def_458,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_459,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_460,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_461,type,
    nil_int: list_int ).

tff(func_def_462,type,
    nil_nat: list_nat ).

tff(func_def_463,type,
    set_o2: list_o > set_o ).

tff(func_def_464,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_465,type,
    set_int2: list_int > set_int ).

tff(func_def_466,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_467,type,
    set_real2: list_real > set_real ).

tff(func_def_468,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_469,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_470,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_471,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_472,type,
    nth_Code_integer: ( list_Code_integer * nat ) > code_integer ).

tff(func_def_473,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_474,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_475,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_476,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_477,type,
    nth_Pr8522763379788166057eger_o: ( list_P8526636022914148096eger_o * nat ) > produc6271795597528267376eger_o ).

tff(func_def_478,type,
    nth_Pr112076138515278198_nat_o: ( list_P7333126701944960589_nat_o * nat ) > product_prod_nat_o ).

tff(func_def_479,type,
    nth_Pr3440142176431000676at_int: ( list_P3521021558325789923at_int * nat ) > product_prod_nat_int ).

tff(func_def_480,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_481,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_482,type,
    nth_Pr744662078594809490T_VEBT: ( list_P5647936690300460905T_VEBT * nat ) > produc8025551001238799321T_VEBT ).

tff(func_def_483,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_484,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_485,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_486,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_487,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_488,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_489,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > fun_nat_VEBT_VEBT ).

tff(func_def_490,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_491,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_492,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_493,type,
    produc3607205314601156340eger_o: ( list_Code_integer * list_o ) > list_P8526636022914148096eger_o ).

tff(func_def_494,type,
    product_int_o: ( list_int * list_o ) > list_P5087981734274514673_int_o ).

tff(func_def_495,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_496,type,
    produc662631939642741121T_VEBT: ( list_int * list_VEBT_VEBT ) > list_P7524865323317820941T_VEBT ).

tff(func_def_497,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_498,type,
    product_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_499,type,
    product_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_500,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_501,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_502,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_503,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_504,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_505,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_506,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_507,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_508,type,
    upto: ( int * int ) > list_int ).

tff(func_def_509,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_510,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_511,type,
    suc: fun_nat_nat ).

tff(func_def_512,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_513,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_514,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_515,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_516,type,
    pred: fun_nat_nat ).

tff(func_def_517,type,
    semiri3842193898606819883omplex: set_complex ).

tff(func_def_518,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_519,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_520,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_521,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_522,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_523,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_524,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_525,type,
    size_size_list_o: list_o > nat ).

tff(func_def_526,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_527,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_528,type,
    size_size_list_int: list_int > nat ).

tff(func_def_529,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_530,type,
    size_size_list_num: list_num > nat ).

tff(func_def_531,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_532,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_533,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_534,type,
    size_s4246224855604898693_int_o: list_P5087981734274514673_int_o > nat ).

tff(func_def_535,type,
    size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat ).

tff(func_def_536,type,
    size_s6639371672096860321T_VEBT: list_P7524865323317820941T_VEBT > nat ).

tff(func_def_537,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_538,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_539,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_540,type,
    size_size_list_real: list_real > nat ).

tff(func_def_541,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_542,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_543,type,
    size_size_num: fun_num_nat ).

tff(func_def_544,type,
    size_size_option_num: option_num > nat ).

tff(func_def_545,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_546,type,
    size_size_char: char > nat ).

tff(func_def_547,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_548,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_549,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_550,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_551,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_552,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_553,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_554,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_555,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_556,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_557,type,
    sqrt: fun_real_real ).

tff(func_def_558,type,
    bitM: fun_num_num ).

tff(func_def_559,type,
    inc: fun_num_num ).

tff(func_def_560,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_561,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_562,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_563,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_564,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_565,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_566,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_567,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_568,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_569,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_570,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_571,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_572,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_573,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_574,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_575,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_576,type,
    bit0: fun_num_num ).

tff(func_def_577,type,
    bit1: fun_num_num ).

tff(func_def_578,type,
    one: num ).

tff(func_def_579,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_580,type,
    size_num: fun_num_nat ).

tff(func_def_581,type,
    num_of_nat: fun_nat_num ).

tff(func_def_582,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_583,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_584,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_585,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_586,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_587,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_588,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_589,type,
    pow: num > fun_num_num ).

tff(func_def_590,type,
    pred_numeral: fun_num_nat ).

tff(func_def_591,type,
    sqr: fun_num_num ).

tff(func_def_592,type,
    none_num: option_num ).

tff(func_def_593,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_594,type,
    some_num: fun_num_option_num ).

tff(func_def_595,type,
    some_P7363390416028606310at_nat: fun_Pr7804344347641417161at_nat ).

tff(func_def_596,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_597,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_598,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_599,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_600,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_601,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_602,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_603,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_604,type,
    bot_bot_nat: nat ).

tff(func_def_605,type,
    bot_bot_set_o: set_o ).

tff(func_def_606,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_607,type,
    bot_bot_set_int: set_int ).

tff(func_def_608,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_609,type,
    bot_bot_set_real: set_real ).

tff(func_def_610,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_611,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

tff(func_def_612,type,
    bot_bot_fun_o_o: fun_o_o ).

tff(func_def_613,type,
    bot_bo8750099748576881071plex_o: fun_complex_o ).

tff(func_def_614,type,
    bot_bot_fun_int_o: fun_int_o ).

tff(func_def_615,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_616,type,
    bot_bot_fun_real_o: fun_real_o ).

tff(func_def_617,type,
    bot_bo3967814874310145751_nat_o: fun_set_nat_o ).

tff(func_def_618,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_619,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_620,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_621,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_622,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_623,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_624,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_625,type,
    ord_less_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_626,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_627,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_628,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_629,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_630,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_631,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_632,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_633,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_634,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_635,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_636,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_637,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_638,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_639,type,
    top_top_set_o: set_o ).

tff(func_def_640,type,
    top_top_set_int: set_int ).

tff(func_def_641,type,
    top_top_set_nat: set_nat ).

tff(func_def_642,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_643,type,
    top_top_set_real: set_real ).

tff(func_def_644,type,
    top_top_set_char: set_char ).

tff(func_def_645,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_646,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_647,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_648,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_649,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_650,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_651,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_652,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_653,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_654,type,
    product_Pair_nat_o: ( nat * $o ) > product_prod_nat_o ).

tff(func_def_655,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_656,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_657,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_658,type,
    produc599794634098209291T_VEBT: ( nat * vEBT_VEBT ) > produc8025551001238799321T_VEBT ).

tff(func_def_659,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_660,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_661,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_662,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_663,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_664,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_665,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_666,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_667,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_668,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_669,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_670,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_671,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_672,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_673,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_674,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_675,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_676,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_677,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_678,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_679,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_680,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_681,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_682,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_683,type,
    fract: int > fun_int_rat ).

tff(func_def_684,type,
    frct: product_prod_int_int > rat ).

tff(func_def_685,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_686,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_687,type,
    of_int: fun_int_rat ).

tff(func_def_688,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_689,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_690,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_691,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_692,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_693,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_694,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_695,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_696,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_697,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_698,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_699,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_700,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_701,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_702,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_703,type,
    dvd_dvd_complex: complex > fun_complex_o ).

tff(func_def_704,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_705,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_706,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_707,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_708,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_709,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_710,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_711,type,
    zero_n356916108424825756nteger: fun_o_Code_integer ).

tff(func_def_712,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_713,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_714,type,
    zero_n2687167440665602831ol_nat: fun_o_nat ).

tff(func_def_715,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_716,type,
    zero_n3304061248610475627l_real: fun_o_real ).

tff(func_def_717,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_718,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_719,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_720,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_721,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_722,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_723,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_724,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_725,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_726,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_727,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_728,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_729,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_730,type,
    image_o_o: ( fun_o_o * set_o ) > set_o ).

tff(func_def_731,type,
    image_o_int: ( fun_o_int * set_o ) > set_int ).

tff(func_def_732,type,
    image_o_nat: ( fun_o_nat * set_o ) > set_nat ).

tff(func_def_733,type,
    image_o_real: ( fun_o_real * set_o ) > set_real ).

tff(func_def_734,type,
    image_complex_o: ( fun_complex_o * set_complex ) > set_o ).

tff(func_def_735,type,
    image_1468599708987790691omplex: ( fun_complex_complex * set_complex ) > set_complex ).

tff(func_def_736,type,
    image_complex_int: ( fun_complex_int * set_complex ) > set_int ).

tff(func_def_737,type,
    image_complex_nat: ( fun_complex_nat * set_complex ) > set_nat ).

tff(func_def_738,type,
    image_complex_real: ( fun_complex_real * set_complex ) > set_real ).

tff(func_def_739,type,
    image_932796090930683071T_VEBT: ( fun_co4340422964966740447T_VEBT * set_complex ) > set_VEBT_VEBT ).

tff(func_def_740,type,
    image_int_o: ( fun_int_o * set_int ) > set_o ).

tff(func_def_741,type,
    image_int_complex: ( fun_int_complex * set_int ) > set_complex ).

tff(func_def_742,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_743,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_744,type,
    image_int_real: ( fun_int_real * set_int ) > set_real ).

tff(func_def_745,type,
    image_nat_o: ( fun_nat_o * set_nat ) > set_o ).

tff(func_def_746,type,
    image_nat_complex: ( fun_nat_complex * set_nat ) > set_complex ).

tff(func_def_747,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_748,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_749,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_750,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_751,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_752,type,
    image_nat_VEBT_VEBT: ( fun_nat_VEBT_VEBT * set_nat ) > set_VEBT_VEBT ).

tff(func_def_753,type,
    image_num_option_num: ( fun_num_option_num * set_num ) > set_option_num ).

tff(func_def_754,type,
    image_4198897800814241419at_nat: ( fun_Pr7804344347641417161at_nat * set_Pr1261947904930325089at_nat ) > set_op4508134149509766951at_nat ).

tff(func_def_755,type,
    image_rat_rat: ( fun_rat_rat * set_rat ) > set_rat ).

tff(func_def_756,type,
    image_real_o: ( fun_real_o * set_real ) > set_o ).

tff(func_def_757,type,
    image_real_complex: ( fun_real_complex * set_real ) > set_complex ).

tff(func_def_758,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_759,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_760,type,
    image_real_int: ( fun_real_int * set_real ) > set_int ).

tff(func_def_761,type,
    image_real_nat: ( fun_real_nat * set_real ) > set_nat ).

tff(func_def_762,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_763,type,
    image_real_VEBT_VEBT: ( fun_real_VEBT_VEBT * set_real ) > set_VEBT_VEBT ).

tff(func_def_764,type,
    image_set_o_set_o: ( fun_set_o_set_o * set_set_o ) > set_set_o ).

tff(func_def_765,type,
    image_7998606247489673935omplex: ( fun_se1662534974915103173omplex * set_set_complex ) > set_set_complex ).

tff(func_def_766,type,
    image_524474410958335435et_int: ( fun_set_int_set_int * set_set_int ) > set_set_int ).

tff(func_def_767,type,
    image_7916887816326733075et_nat: ( fun_set_nat_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_768,type,
    image_2436557299294012491t_real: ( fun_se8020766253744352065t_real * set_set_real ) > set_set_real ).

tff(func_def_769,type,
    image_7884819252390400639et_nat: ( fun_se1791420423458939253et_nat * set_set_set_nat ) > set_set_set_nat ).

tff(func_def_770,type,
    image_1661326939266726661T_VEBT: ( fun_se8977052110697326915T_VEBT * set_set_VEBT_VEBT ) > set_set_VEBT_VEBT ).

tff(func_def_771,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_772,type,
    image_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * set_VEBT_VEBT ) > set_o ).

tff(func_def_773,type,
    image_VEBT_VEBT_int: ( fun_VEBT_VEBT_int * set_VEBT_VEBT ) > set_int ).

tff(func_def_774,type,
    image_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * set_VEBT_VEBT ) > set_nat ).

tff(func_def_775,type,
    image_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * set_VEBT_VEBT ) > set_real ).

tff(func_def_776,type,
    image_3375948659692109573T_VEBT: ( fun_VE3165209603783583043T_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_777,type,
    insert_o: $o > fun_set_o_set_o ).

tff(func_def_778,type,
    insert_complex: complex > fun_se1662534974915103173omplex ).

tff(func_def_779,type,
    insert_int: int > fun_set_int_set_int ).

tff(func_def_780,type,
    insert_nat: nat > fun_set_nat_set_nat ).

tff(func_def_781,type,
    insert_real: real > fun_se8020766253744352065t_real ).

tff(func_def_782,type,
    insert_set_nat: set_nat > fun_se1791420423458939253et_nat ).

tff(func_def_783,type,
    insert_VEBT_VEBT: vEBT_VEBT > fun_se8977052110697326915T_VEBT ).

tff(func_def_784,type,
    is_singleton_nat: fun_set_nat_o ).

tff(func_def_785,type,
    the_elem_int: set_int > int ).

tff(func_def_786,type,
    the_elem_nat: set_nat > nat ).

tff(func_def_787,type,
    the_elem_real: set_real > real ).

tff(func_def_788,type,
    the_elem_set_nat: set_set_nat > set_nat ).

tff(func_def_789,type,
    the_elem_VEBT_VEBT: set_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_790,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_791,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_792,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_793,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_794,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_795,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_796,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_797,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_798,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_799,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_800,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_801,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_802,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_803,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_804,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_805,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_806,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_807,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_808,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_809,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_810,type,
    ascii_of: char > char ).

tff(func_def_811,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_812,type,
    size_char: char > nat ).

tff(func_def_813,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_814,type,
    integer_of_char: char > code_integer ).

tff(func_def_815,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_816,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_817,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_818,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_819,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_820,type,
    arccos: fun_real_real ).

tff(func_def_821,type,
    arcosh_real: fun_real_real ).

tff(func_def_822,type,
    arcsin: fun_real_real ).

tff(func_def_823,type,
    arctan: fun_real_real ).

tff(func_def_824,type,
    arsinh_real: fun_real_real ).

tff(func_def_825,type,
    artanh_real: fun_real_real ).

tff(func_def_826,type,
    cos_complex: fun_complex_complex ).

tff(func_def_827,type,
    cos_real: fun_real_real ).

tff(func_def_828,type,
    cos_coeff: fun_nat_real ).

tff(func_def_829,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_830,type,
    cosh_real: fun_real_real ).

tff(func_def_831,type,
    cot_complex: fun_complex_complex ).

tff(func_def_832,type,
    cot_real: fun_real_real ).

tff(func_def_833,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_834,type,
    exp_complex: fun_complex_complex ).

tff(func_def_835,type,
    exp_real: fun_real_real ).

tff(func_def_836,type,
    ln_ln_real: fun_real_real ).

tff(func_def_837,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_838,type,
    pi: real ).

tff(func_def_839,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_840,type,
    sin_complex: fun_complex_complex ).

tff(func_def_841,type,
    sin_real: fun_real_real ).

tff(func_def_842,type,
    sin_coeff: fun_nat_real ).

tff(func_def_843,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_844,type,
    sinh_real: fun_real_real ).

tff(func_def_845,type,
    tan_complex: fun_complex_complex ).

tff(func_def_846,type,
    tan_real: fun_real_real ).

tff(func_def_847,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_848,type,
    tanh_real: fun_real_real ).

tff(func_def_849,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_850,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_851,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_852,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT ) > fun_VE3165209603783583043T_VEBT ).

tff(func_def_853,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_854,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_855,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_856,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_857,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_858,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_859,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_860,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_861,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_862,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_863,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_864,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_865,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_866,type,
    vEBT_vebt_buildup: fun_nat_VEBT_VEBT ).

tff(func_def_867,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_868,type,
    vEBT_VEBT_height: fun_VEBT_VEBT_nat ).

tff(func_def_869,type,
    vEBT_VEBT_height_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_870,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_871,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_872,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_873,type,
    aa_o_Code_integer: ( fun_o_Code_integer * $o ) > code_integer ).

tff(func_def_874,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_875,type,
    aa_o_nat: ( fun_o_nat * $o ) > nat ).

tff(func_def_876,type,
    aa_o_real: ( fun_o_real * $o ) > real ).

tff(func_def_877,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_878,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_879,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_880,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_881,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_882,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_883,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_884,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_885,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_886,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_887,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_888,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_889,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_890,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_891,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_892,type,
    aa_complex_VEBT_VEBT: ( fun_co4340422964966740447T_VEBT * complex ) > vEBT_VEBT ).

tff(func_def_893,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_894,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_895,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_896,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_897,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_898,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_899,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_900,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_901,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_902,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_903,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_904,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_905,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_906,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_907,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_908,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_909,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_910,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_911,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_912,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_913,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_914,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_915,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_916,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_917,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_918,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_919,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_920,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_921,type,
    aa_nat_VEBT_VEBT: ( fun_nat_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_922,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_923,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_924,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_925,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_926,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_927,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_928,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_929,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_930,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_931,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_932,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_933,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_934,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_935,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_936,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_937,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_938,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_939,type,
    aa_nat_fun_set_nat_o: ( fun_na8563630686737515764_nat_o * nat ) > fun_set_nat_o ).

tff(func_def_940,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_941,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_942,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_943,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_944,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_945,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_946,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_947,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_948,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_949,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_950,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_951,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_952,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_953,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_954,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_955,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_956,type,
    aa_Pro4773402355715522498at_nat: ( fun_Pr7804344347641417161at_nat * product_prod_nat_nat ) > option4927543243414619207at_nat ).

tff(func_def_957,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_958,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_959,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_960,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_961,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_962,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_963,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_964,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_965,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_966,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_967,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_968,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_969,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_970,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_971,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_972,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_973,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_974,type,
    aa_real_VEBT_VEBT: ( fun_real_VEBT_VEBT * real ) > vEBT_VEBT ).

tff(func_def_975,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_976,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_977,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_978,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_979,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_980,type,
    aa_set_o_set_o: ( fun_set_o_set_o * set_o ) > set_o ).

tff(func_def_981,type,
    aa_set8520398081763872006omplex: ( fun_se1662534974915103173omplex * set_complex ) > set_complex ).

tff(func_def_982,type,
    aa_set_int_set_int: ( fun_set_int_set_int * set_int ) > set_int ).

tff(func_def_983,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_984,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_985,type,
    aa_set_real_set_real: ( fun_se8020766253744352065t_real * set_real ) > set_real ).

tff(func_def_986,type,
    aa_set1013257548857649334et_nat: ( fun_se1791420423458939253et_nat * set_set_nat ) > set_set_nat ).

tff(func_def_987,type,
    aa_set3061394203342972348T_VEBT: ( fun_se8977052110697326915T_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_988,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_989,type,
    aa_VEBT_VEBT_int: ( fun_VEBT_VEBT_int * vEBT_VEBT ) > int ).

tff(func_def_990,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_991,type,
    aa_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * vEBT_VEBT ) > real ).

tff(func_def_992,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_993,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_994,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_995,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_996,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_997,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_998,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_999,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1000,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1001,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1002,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1003,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1004,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1005,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1006,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_1007,type,
    deg: nat ).

tff(func_def_1008,type,
    m: nat ).

tff(func_def_1009,type,
    na: nat ).

tff(func_def_1010,type,
    summary: vEBT_VEBT ).

tff(func_def_1011,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1012,type,
    pos0: nat ).

tff(func_def_1013,type,
    pos1: nat ).

tff(func_def_1014,type,
    pos2: nat ).

tff(func_def_1015,type,
    pos3: nat ).

tff(func_def_1016,type,
    d4: int ).

tff(func_def_1017,type,
    pos5: nat ).

tff(func_def_1018,type,
    pos6: nat ).

tff(func_def_1019,type,
    pos7: nat ).

tff(func_def_1020,type,
    pos8: nat ).

tff(func_def_1021,type,
    pos9: nat ).

tff(func_def_1022,type,
    pos10: nat ).

tff(func_def_1023,type,
    pos11: nat ).

tff(func_def_1024,type,
    pos12: nat ).

tff(func_def_1025,type,
    half13: nat ).

tff(func_def_1026,type,
    half14: nat ).

tff(func_def_1027,type,
    half15: nat ).

tff(func_def_1028,type,
    half16: nat ).

tff(func_def_1029,type,
    pos17: nat ).

tff(func_def_1030,type,
    pos18: nat ).

tff(func_def_1031,type,
    pos19: nat ).

tff(func_def_1032,type,
    pos20: nat ).

tff(func_def_1033,type,
    pos21: nat ).

tff(func_def_1034,type,
    pos22: nat ).

tff(func_def_1035,type,
    pos23: nat ).

tff(func_def_1036,type,
    pos24: nat ).

tff(func_def_1037,type,
    pos25: nat ).

tff(func_def_1038,type,
    half26: nat ).

tff(func_def_1039,type,
    half27: nat ).

tff(func_def_1040,type,
    l28: code_integer ).

tff(func_def_1041,type,
    k29: code_integer ).

tff(func_def_1042,type,
    k30: code_integer ).

tff(func_def_1043,type,
    a31: int ).

tff(func_def_1044,type,
    a32: int ).

tff(func_def_1045,type,
    n33: nat ).

tff(func_def_1046,type,
    m234: nat ).

tff(func_def_1047,type,
    n35: nat ).

tff(func_def_1048,type,
    m236: nat ).

tff(func_def_1049,type,
    n37: nat ).

tff(func_def_1050,type,
    m238: nat ).

tff(func_def_1051,type,
    n39: nat ).

tff(func_def_1052,type,
    m240: nat ).

tff(func_def_1053,type,
    n41: nat ).

tff(func_def_1054,type,
    m242: nat ).

tff(func_def_1055,type,
    n43: nat ).

tff(func_def_1056,type,
    m244: nat ).

tff(func_def_1057,type,
    n45: nat ).

tff(func_def_1058,type,
    m246: nat ).

tff(func_def_1059,type,
    l247: int ).

tff(func_def_1060,type,
    l248: nat ).

tff(func_def_1061,type,
    l349: nat ).

tff(func_def_1062,type,
    bG50: ( vEBT_VEBT * fun_VEBT_VEBT_o ) > $o ).

tff(func_def_1065,type,
    bG51: ( nat * fun_nat_o ) > $o ).

tff(func_def_1066,type,
    bG52: ( complex * fun_complex_o ) > $o ).

tff(func_def_1067,type,
    bG53: ( real * fun_real_o ) > $o ).

tff(func_def_1068,type,
    bG54: $o > $o ).

tff(func_def_1069,type,
    bG55: $o > $o ).

tff(func_def_1070,type,
    bG56: $o > $o ).

tff(func_def_1071,type,
    bG57: $o > $o ).

tff(func_def_1072,type,
    bG58: $o > $o ).

tff(func_def_1073,type,
    bG59: $o > $o ).

tff(func_def_1074,type,
    bG60: $o > $o ).

tff(func_def_1075,type,
    bG61: $o > $o ).

tff(func_def_1076,type,
    bG62: $o > $o ).

tff(func_def_1077,type,
    bG63: $o > $o ).

tff(func_def_1078,type,
    bG64: $o > $o ).

tff(func_def_1079,type,
    bG65: $o > $o ).

tff(func_def_1080,type,
    bG66: $o > $o ).

tff(func_def_1081,type,
    bG67: $o > $o ).

tff(func_def_1082,type,
    bG68: $o > $o ).

tff(func_def_1083,type,
    bG69: $o > $o ).

tff(func_def_1084,type,
    bG71: $o > $o ).

tff(func_def_1085,type,
    bG72: $o > $o ).

tff(func_def_1086,type,
    bG73: $o > $o ).

tff(func_def_1087,type,
    bG74: $o > $o ).

tff(func_def_1088,type,
    bG76: $o > $o ).

tff(func_def_1089,type,
    bG77: $o > $o ).

tff(func_def_1090,type,
    bG78: $o > $o ).

tff(func_def_1091,type,
    bG79: $o > $o ).

tff(func_def_1092,type,
    bG85: $o > $o ).

tff(func_def_1093,type,
    bG86: $o > $o ).

tff(func_def_1094,type,
    bG87: $o > $o ).

tff(func_def_1095,type,
    bG88: $o > $o ).

tff(func_def_1096,type,
    bG89: $o > $o ).

tff(func_def_1097,type,
    bG90: $o > $o ).

tff(func_def_1098,type,
    bG91: $o > $o ).

tff(func_def_1099,type,
    bG92: $o > $o ).

tff(func_def_1100,type,
    bG93: $o > $o ).

tff(func_def_1101,type,
    bG94: $o > $o ).

tff(func_def_1102,type,
    bG95: $o > $o ).

tff(func_def_1103,type,
    bG96: $o > $o ).

tff(func_def_1104,type,
    bG97: $o > $o ).

tff(func_def_1105,type,
    bG98: $o > $o ).

tff(func_def_1106,type,
    bG99: $o > $o ).

tff(func_def_1107,type,
    bG100: $o > $o ).

tff(func_def_1108,type,
    bG101: $o > $o ).

tff(func_def_1109,type,
    iG102: ( $o * nat * nat ) > nat ).

tff(func_def_1110,type,
    iG103: ( $o * nat * nat ) > int ).

tff(func_def_1111,type,
    bG104: $o > $o ).

tff(func_def_1112,type,
    bG105: $o > $o ).

tff(func_def_1113,type,
    bG106: $o > $o ).

tff(func_def_1114,type,
    bG107: $o > $o ).

tff(func_def_1115,type,
    bG108: $o > $o ).

tff(func_def_1116,type,
    bG109: $o > $o ).

tff(func_def_1117,type,
    bG110: $o > $o ).

tff(func_def_1118,type,
    bG111: $o > $o ).

tff(func_def_1119,type,
    bG112: $o > $o ).

tff(func_def_1120,type,
    iG113: nat > rat ).

tff(func_def_1121,type,
    iG114: nat > nat ).

tff(func_def_1122,type,
    iG115: nat > real ).

tff(func_def_1123,type,
    iG116: nat > int ).

tff(func_def_1124,type,
    iG117: nat > complex ).

tff(func_def_1125,type,
    iG118: complex > complex ).

tff(func_def_1126,type,
    iG119: real > real ).

tff(func_def_1127,type,
    iG120: rat > rat ).

tff(func_def_1128,type,
    iG121: ( nat * nat * nat ) > nat ).

tff(func_def_1129,type,
    iG122: ( int * int * int ) > int ).

tff(func_def_1130,type,
    iG123: ( complex * complex * complex ) > complex ).

tff(func_def_1131,type,
    iG124: ( real * real * real ) > real ).

tff(func_def_1132,type,
    iG125: ( rat * rat * rat ) > rat ).

tff(func_def_1133,type,
    iG126: real > real ).

tff(func_def_1134,type,
    iG127: ( nat * nat * nat ) > nat ).

tff(func_def_1135,type,
    iG134: ( complex * complex * complex ) > complex ).

tff(func_def_1136,type,
    iG135: ( real * real * real ) > real ).

tff(func_def_1137,type,
    iG136: ( rat * rat * rat ) > rat ).

tff(func_def_1138,type,
    iG137: ( nat * nat ) > nat ).

tff(func_def_1139,type,
    iG138: ( nat * complex ) > complex ).

tff(func_def_1140,type,
    iG139: ( nat * real ) > real ).

tff(func_def_1141,type,
    iG140: ( nat * rat ) > rat ).

tff(func_def_1142,type,
    iG141: ( nat * nat ) > nat ).

tff(func_def_1143,type,
    iG142: ( nat * int ) > int ).

tff(func_def_1144,type,
    iG163: ( complex * complex * complex ) > complex ).

tff(func_def_1145,type,
    iG164: ( real * real * real ) > real ).

tff(func_def_1146,type,
    iG165: ( rat * rat * rat ) > rat ).

tff(func_def_1147,type,
    iG166: ( complex * complex * complex ) > complex ).

tff(func_def_1148,type,
    iG167: ( real * real * real ) > real ).

tff(func_def_1149,type,
    iG168: ( rat * rat * rat ) > rat ).

tff(func_def_1150,type,
    iG169: real > int ).

tff(func_def_1151,type,
    iG170: rat > int ).

tff(func_def_1152,type,
    iG187: ( nat * nat ) > nat ).

tff(func_def_1153,type,
    iG188: ( nat * nat ) > nat ).

tff(func_def_1154,type,
    iG197: ( nat * nat * nat ) > nat ).

tff(func_def_1155,type,
    iG198: ( nat * nat * int ) > int ).

tff(func_def_1156,type,
    bG199: $o > $o ).

tff(func_def_1157,type,
    bG200: $o > $o ).

tff(func_def_1158,type,
    bG201: $o > $o ).

tff(func_def_1159,type,
    bG202: $o > $o ).

tff(func_def_1160,type,
    iG203: ( set_VEBT_VEBT * vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_1161,type,
    bG204: $o > $o ).

tff(func_def_1162,type,
    bG205: $o > $o ).

tff(func_def_1163,type,
    bG206: $o > $o ).

tff(func_def_1164,type,
    iG207: ( set_o * $o * set_o ) > set_o ).

tff(func_def_1165,type,
    iG208: ( set_complex * complex * set_complex ) > set_complex ).

tff(func_def_1166,type,
    iG209: ( set_real * real * set_real ) > set_real ).

tff(func_def_1167,type,
    iG210: ( set_set_nat * set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1168,type,
    iG211: ( set_int * int * set_int ) > set_int ).

tff(func_def_1169,type,
    iG212: ( set_nat * nat * set_nat ) > set_nat ).

tff(func_def_1170,type,
    bG213: $o > $o ).

tff(func_def_1171,type,
    bG214: $o > $o ).

tff(func_def_1172,type,
    iG215: ( nat * nat ) > int ).

tff(func_def_1173,type,
    bG216: ( nat * list_o ) > $o ).

tff(func_def_1174,type,
    bG217: $o > $o ).

tff(func_def_1175,type,
    bG218: $o > $o ).

tff(func_def_1176,type,
    bG219: ( nat * list_o ) > $o ).

tff(func_def_1177,type,
    bG220: $o > $o ).

tff(func_def_1178,type,
    bG221: ( nat * list_o ) > $o ).

tff(func_def_1179,type,
    bG222: $o > $o ).

tff(func_def_1180,type,
    bG223: $o > $o ).

tff(func_def_1181,type,
    bG224: $o > $o ).

tff(func_def_1182,type,
    bG225: $o > $o ).

tff(func_def_1183,type,
    bG226: ( nat * list_o ) > $o ).

tff(func_def_1184,type,
    bG227: $o > $o ).

tff(func_def_1185,type,
    bG228: ( nat * list_o ) > $o ).

tff(func_def_1186,type,
    bG229: $o > $o ).

tff(func_def_1187,type,
    bG230: $o > $o ).

tff(func_def_1188,type,
    bG231: ( nat * list_o ) > $o ).

tff(func_def_1189,type,
    bG232: $o > $o ).

tff(func_def_1190,type,
    bG233: $o > $o ).

tff(func_def_1191,type,
    bG234: $o > $o ).

tff(func_def_1192,type,
    bG235: $o > $o ).

tff(func_def_1193,type,
    iG242: real > real ).

tff(func_def_1194,type,
    iG243: int > int ).

tff(func_def_1195,type,
    iG244: rat > rat ).

tff(func_def_1196,type,
    iG245: code_integer > code_integer ).

tff(func_def_1197,type,
    iG246: real > real ).

tff(func_def_1198,type,
    iG247: int > int ).

tff(func_def_1199,type,
    iG248: rat > rat ).

tff(func_def_1200,type,
    iG249: code_integer > code_integer ).

tff(func_def_1201,type,
    iG250: real > real ).

tff(func_def_1202,type,
    bG251: $o > $o ).

tff(func_def_1203,type,
    bG252: $o > $o ).

tff(func_def_1204,type,
    bG253: $o > $o ).

tff(func_def_1205,type,
    bG254: $o > $o ).

tff(func_def_1206,type,
    bG255: $o > $o ).

tff(func_def_1207,type,
    bG256: $o > $o ).

tff(func_def_1208,type,
    bG257: $o > $o ).

tff(func_def_1209,type,
    bG258: $o > $o ).

tff(func_def_1210,type,
    bG259: $o > $o ).

tff(func_def_1211,type,
    bG260: $o > $o ).

tff(func_def_1212,type,
    iG261: ( nat * nat ) > nat ).

tff(func_def_1213,type,
    iG262: ( nat * nat ) > nat ).

tff(func_def_1214,type,
    bG263: $o > $o ).

tff(func_def_1215,type,
    bG264: $o > $o ).

tff(func_def_1216,type,
    bG265: $o > $o ).

tff(func_def_1217,type,
    bG266: $o > $o ).

tff(func_def_1218,type,
    bG273: $o > $o ).

tff(func_def_1219,type,
    bG274: $o > $o ).

tff(func_def_1220,type,
    bG277: $o > $o ).

tff(func_def_1221,type,
    bG278: $o > $o ).

tff(func_def_1222,type,
    iG293: ( real * real * real ) > real ).

tff(func_def_1223,type,
    iG294: ( complex * complex * complex ) > complex ).

tff(func_def_1224,type,
    iG295: ( rat * rat * rat ) > rat ).

tff(func_def_1225,type,
    iG296: ( real * real * real ) > real ).

tff(func_def_1226,type,
    iG297: ( complex * complex * complex ) > complex ).

tff(func_def_1227,type,
    iG298: ( rat * rat * rat ) > rat ).

tff(func_def_1228,type,
    iG299: ( real * real * real ) > real ).

tff(func_def_1229,type,
    iG300: ( complex * complex * complex ) > complex ).

tff(func_def_1230,type,
    iG301: ( rat * rat * rat ) > rat ).

tff(func_def_1231,type,
    iG326: ( nat * nat ) > nat ).

tff(func_def_1232,type,
    bG327: $o > $o ).

tff(func_def_1233,type,
    bG328: $o > $o ).

tff(func_def_1234,type,
    iG329: ( nat * code_integer ) > code_integer ).

tff(func_def_1235,type,
    iG330: ( nat * int ) > int ).

tff(func_def_1236,type,
    iG331: real > int ).

tff(func_def_1237,type,
    iG332: rat > int ).

tff(func_def_1238,type,
    iG333: int > int ).

tff(func_def_1239,type,
    iG334: ( int * int ) > int ).

tff(func_def_1240,type,
    iG335: ( int * int ) > int ).

tff(func_def_1241,type,
    iG336: ( int * int ) > int ).

tff(func_def_1242,type,
    iG337: ( int * int ) > int ).

tff(func_def_1243,type,
    iG338: nat > complex ).

tff(func_def_1244,type,
    iG339: nat > real ).

tff(func_def_1245,type,
    iG340: nat > rat ).

tff(func_def_1246,type,
    iG341: nat > nat ).

tff(func_def_1247,type,
    iG342: nat > int ).

tff(func_def_1248,type,
    iG343: ( real * real ) > real ).

tff(func_def_1249,type,
    iG344: ( rat * rat ) > rat ).

tff(func_def_1250,type,
    iG345: ( int * int ) > int ).

tff(func_def_1251,type,
    iG346: ( real * real ) > int ).

tff(func_def_1252,type,
    iG347: ( rat * rat ) > int ).

tff(func_def_1253,type,
    iG348: ( real * real ) > real ).

tff(func_def_1254,type,
    iG349: ( nat * real ) > real ).

tff(func_def_1255,type,
    iG350: ( nat * int ) > int ).

tff(func_def_1256,type,
    iG351: ( nat * complex ) > complex ).

tff(func_def_1257,type,
    iG352: ( nat * rat ) > rat ).

tff(func_def_1258,type,
    iG353: ( nat * code_integer ) > code_integer ).

tff(func_def_1259,type,
    iG354: nat > nat ).

tff(func_def_1260,type,
    iG355: int > int ).

tff(func_def_1261,type,
    iG356: code_integer > code_integer ).

tff(func_def_1262,type,
    iG357: nat > real ).

tff(func_def_1263,type,
    iG358: nat > int ).

tff(func_def_1264,type,
    iG359: nat > complex ).

tff(func_def_1265,type,
    iG360: nat > rat ).

tff(func_def_1266,type,
    iG361: nat > code_integer ).

tff(func_def_1267,type,
    bG362: code_integer > $o ).

tff(func_def_1268,type,
    bG363: int > $o ).

tff(func_def_1269,type,
    bG364: nat > $o ).

tff(func_def_1270,type,
    bG365: $o > $o ).

tff(func_def_1271,type,
    bG366: $o > $o ).

tff(func_def_1272,type,
    bG367: $o > $o ).

tff(func_def_1273,type,
    bG368: $o > $o ).

tff(func_def_1274,type,
    bG369: $o > $o ).

tff(func_def_1275,type,
    bG370: $o > $o ).

tff(func_def_1276,type,
    bG371: $o > $o ).

tff(func_def_1277,type,
    bG372: $o > $o ).

tff(func_def_1278,type,
    bG373: $o > $o ).

tff(func_def_1279,type,
    bG374: $o > $o ).

tff(func_def_1280,type,
    bG375: $o > $o ).

tff(func_def_1281,type,
    bG376: $o > $o ).

tff(func_def_1282,type,
    bG377: $o > $o ).

tff(func_def_1283,type,
    bG378: $o > $o ).

tff(func_def_1284,type,
    bG379: $o > $o ).

tff(func_def_1285,type,
    bG380: $o > $o ).

tff(func_def_1286,type,
    bG381: $o > $o ).

tff(func_def_1287,type,
    bG382: $o > $o ).

tff(func_def_1288,type,
    bG383: $o > $o ).

tff(func_def_1289,type,
    bG384: $o > $o ).

tff(func_def_1290,type,
    bG385: $o > $o ).

tff(func_def_1291,type,
    bG386: $o > $o ).

tff(func_def_1292,type,
    bG387: $o > $o ).

tff(func_def_1293,type,
    bG388: $o > $o ).

tff(func_def_1294,type,
    bG389: $o > $o ).

tff(func_def_1295,type,
    bG390: $o > $o ).

tff(func_def_1296,type,
    bG391: $o > $o ).

tff(func_def_1297,type,
    bG392: $o > $o ).

tff(func_def_1298,type,
    bG393: $o > $o ).

tff(func_def_1299,type,
    bG394: $o > $o ).

tff(func_def_1300,type,
    bG395: $o > $o ).

tff(func_def_1301,type,
    bG396: $o > $o ).

tff(func_def_1302,type,
    bG397: $o > $o ).

tff(func_def_1303,type,
    bG398: $o > $o ).

tff(func_def_1304,type,
    bG399: $o > $o ).

tff(func_def_1305,type,
    bG400: $o > $o ).

tff(func_def_1306,type,
    bG401: $o > $o ).

tff(func_def_1307,type,
    bG402: $o > $o ).

tff(func_def_1308,type,
    bG403: $o > $o ).

tff(func_def_1309,type,
    bG404: $o > $o ).

tff(func_def_1310,type,
    bG405: $o > $o ).

tff(func_def_1311,type,
    bG406: $o > $o ).

tff(func_def_1312,type,
    bG407: $o > $o ).

tff(func_def_1313,type,
    bG408: $o > $o ).

tff(func_def_1314,type,
    bG409: $o > $o ).

tff(func_def_1315,type,
    bG410: $o > $o ).

tff(func_def_1316,type,
    bG411: $o > $o ).

tff(func_def_1317,type,
    bG412: $o > $o ).

tff(func_def_1318,type,
    bG413: $o > $o ).

tff(func_def_1319,type,
    bG414: $o > $o ).

tff(func_def_1320,type,
    bG415: $o > $o ).

tff(func_def_1321,type,
    bG416: $o > $o ).

tff(func_def_1322,type,
    bG417: $o > $o ).

tff(func_def_1323,type,
    bG418: $o > $o ).

tff(func_def_1324,type,
    bG419: $o > $o ).

tff(func_def_1325,type,
    bG420: $o > $o ).

tff(func_def_1326,type,
    bG421: $o > $o ).

tff(func_def_1327,type,
    bG422: $o > $o ).

tff(func_def_1328,type,
    bG423: $o > $o ).

tff(func_def_1329,type,
    bG424: $o > $o ).

tff(func_def_1330,type,
    bG425: $o > $o ).

tff(func_def_1331,type,
    bG426: $o > $o ).

tff(func_def_1332,type,
    bG427: $o > $o ).

tff(func_def_1333,type,
    bG428: $o > $o ).

tff(func_def_1334,type,
    bG429: $o > $o ).

tff(func_def_1335,type,
    bG430: $o > $o ).

tff(func_def_1336,type,
    bG431: $o > $o ).

tff(func_def_1337,type,
    bG432: $o > $o ).

tff(func_def_1338,type,
    bG433: $o > $o ).

tff(func_def_1339,type,
    bG434: $o > $o ).

tff(func_def_1340,type,
    bG435: $o > $o ).

tff(func_def_1341,type,
    bG436: $o > $o ).

tff(func_def_1342,type,
    bG437: $o > $o ).

tff(func_def_1343,type,
    bG438: $o > $o ).

tff(func_def_1344,type,
    bG439: $o > $o ).

tff(func_def_1345,type,
    bG440: $o > $o ).

tff(func_def_1346,type,
    bG441: nat > $o ).

tff(func_def_1347,type,
    bG442: $o > $o ).

tff(func_def_1348,type,
    bG443: $o > $o ).

tff(func_def_1349,type,
    bG444: $o > $o ).

tff(func_def_1350,type,
    bG445: $o > $o ).

tff(func_def_1351,type,
    bG446: $o > $o ).

tff(func_def_1352,type,
    bG447: $o > $o ).

tff(func_def_1353,type,
    bG448: nat > $o ).

tff(func_def_1354,type,
    bG449: nat > $o ).

tff(func_def_1355,type,
    bG450: nat > $o ).

tff(func_def_1356,type,
    bG451: nat > $o ).

tff(func_def_1357,type,
    bG452: nat > $o ).

tff(func_def_1358,type,
    bG453: nat > $o ).

tff(func_def_1359,type,
    bG454: nat > $o ).

tff(func_def_1360,type,
    bG455: nat > $o ).

tff(func_def_1361,type,
    bG456: nat > $o ).

tff(func_def_1362,type,
    bG457: $o > $o ).

tff(func_def_1363,type,
    bG458: $o > $o ).

tff(func_def_1364,type,
    bG459: $o > $o ).

tff(func_def_1365,type,
    bG460: $o > $o ).

tff(func_def_1366,type,
    bG461: $o > $o ).

tff(func_def_1367,type,
    bG462: $o > $o ).

tff(func_def_1368,type,
    bG463: $o > $o ).

tff(func_def_1369,type,
    bG464: $o > $o ).

tff(func_def_1370,type,
    bG465: $o > $o ).

tff(func_def_1371,type,
    bG466: $o > $o ).

tff(func_def_1372,type,
    bG467: $o > $o ).

tff(func_def_1373,type,
    iG468: $o > complex ).

tff(func_def_1374,type,
    bG469: $o > $o ).

tff(func_def_1375,type,
    iG470: $o > real ).

tff(func_def_1376,type,
    bG471: $o > $o ).

tff(func_def_1377,type,
    iG472: $o > rat ).

tff(func_def_1378,type,
    bG473: $o > $o ).

tff(func_def_1379,type,
    iG474: $o > nat ).

tff(func_def_1380,type,
    bG475: $o > $o ).

tff(func_def_1381,type,
    iG476: $o > int ).

tff(func_def_1382,type,
    bG477: $o > $o ).

tff(func_def_1383,type,
    iG478: $o > code_integer ).

tff(func_def_1384,type,
    bG479: $o > $o ).

tff(func_def_1385,type,
    bG480: $o > $o ).

tff(func_def_1386,type,
    bG481: $o > $o ).

tff(func_def_1387,type,
    bG482: $o > $o ).

tff(func_def_1388,type,
    bG483: $o > $o ).

tff(func_def_1389,type,
    bG484: $o > $o ).

tff(func_def_1390,type,
    bG485: $o > $o ).

tff(func_def_1391,type,
    bG486: $o > $o ).

tff(func_def_1392,type,
    bG487: $o > $o ).

tff(func_def_1393,type,
    bG488: $o > $o ).

tff(func_def_1394,type,
    bG489: $o > $o ).

tff(func_def_1395,type,
    bG490: $o > $o ).

tff(func_def_1396,type,
    bG491: nat > $o ).

tff(func_def_1397,type,
    bG492: int > $o ).

tff(func_def_1398,type,
    bG493: code_integer > $o ).

tff(func_def_1399,type,
    bG494: $o > $o ).

tff(func_def_1400,type,
    bG495: $o > $o ).

tff(func_def_1401,type,
    bG496: $o > $o ).

tff(func_def_1402,type,
    bG497: $o > $o ).

tff(func_def_1403,type,
    bG498: $o > $o ).

tff(func_def_1404,type,
    bG499: $o > $o ).

tff(func_def_1405,type,
    iG500: nat > rat ).

tff(func_def_1406,type,
    iG501: nat > int ).

tff(func_def_1407,type,
    iG502: nat > nat ).

tff(func_def_1408,type,
    iG503: nat > real ).

tff(func_def_1409,type,
    iG504: nat > complex ).

tff(func_def_1410,type,
    bG505: ( nat * nat ) > $o ).

tff(func_def_1411,type,
    bG506: ( nat * nat ) > $o ).

tff(func_def_1412,type,
    bG507: ( nat * nat ) > $o ).

tff(func_def_1413,type,
    bG508: ( nat * nat ) > $o ).

tff(func_def_1414,type,
    bG509: ( nat * nat ) > $o ).

tff(func_def_1415,type,
    bG510: ( nat * nat ) > $o ).

tff(func_def_1416,type,
    iG511: nat > real ).

tff(func_def_1417,type,
    iG512: ( nat * nat ) > nat ).

tff(func_def_1418,type,
    iG513: ( nat * nat ) > nat ).

tff(func_def_1419,type,
    iG514: nat > real ).

tff(func_def_1420,type,
    iG515: ( nat * code_integer ) > code_integer ).

tff(func_def_1421,type,
    iG516: ( nat * int ) > int ).

tff(func_def_1422,type,
    iG517: ( nat * nat ) > nat ).

tff(func_def_1423,type,
    bG518: nat > $o ).

tff(func_def_1424,type,
    bG519: nat > $o ).

tff(func_def_1425,type,
    bG520: nat > $o ).

tff(func_def_1426,type,
    bG521: nat > $o ).

tff(func_def_1427,type,
    bG522: ( nat * nat ) > $o ).

tff(func_def_1428,type,
    bG523: ( nat * nat ) > $o ).

tff(func_def_1429,type,
    bG524: ( nat * nat ) > $o ).

tff(func_def_1430,type,
    bG525: nat > $o ).

tff(func_def_1431,type,
    bG526: nat > $o ).

tff(func_def_1432,type,
    bG527: nat > $o ).

tff(func_def_1433,type,
    iG528: ( nat * nat ) > fun_int_int ).

tff(func_def_1434,type,
    iG529: ( nat * nat * int ) > int ).

tff(func_def_1435,type,
    iG530: ( nat * nat * nat ) > nat ).

tff(func_def_1436,type,
    iG531: ( nat * nat * int ) > int ).

tff(func_def_1437,type,
    iG532: ( nat * nat * nat ) > nat ).

tff(func_def_1438,type,
    iG533: ( nat * nat * int ) > int ).

tff(func_def_1439,type,
    iG534: ( nat * nat * nat ) > nat ).

tff(func_def_1440,type,
    iG535: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1441,type,
    iG536: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1442,type,
    iG537: ( code_integer * nat ) > code_integer ).

tff(func_def_1443,type,
    iG538: ( int * nat ) > int ).

tff(func_def_1444,type,
    iG539: ( nat * nat ) > nat ).

tff(func_def_1445,type,
    bG540: ( nat * nat ) > $o ).

tff(func_def_1446,type,
    iG541: ( int * int * nat * nat ) > int ).

tff(func_def_1447,type,
    iG542: ( int * int * nat * nat ) > int ).

tff(func_def_1448,type,
    iG543: ( int * real ) > real ).

tff(func_def_1449,type,
    bG544: ( nat * nat ) > $o ).

tff(func_def_1450,type,
    iG545: ( int * int * nat * nat ) > int ).

tff(func_def_1451,type,
    iG546: ( int * int * nat * nat ) > int ).

tff(func_def_1452,type,
    bG547: $o > $o ).

tff(func_def_1453,type,
    bG548: $o > $o ).

tff(func_def_1454,type,
    bG549: $o > $o ).

tff(func_def_1455,type,
    bG550: $o > $o ).

tff(func_def_1456,type,
    bG551: real > $o ).

tff(func_def_1457,type,
    bG552: rat > $o ).

tff(func_def_1458,type,
    bG553: int > $o ).

tff(func_def_1459,type,
    bG554: code_integer > $o ).

tff(func_def_1460,type,
    bG555: complex > $o ).

tff(func_def_1461,type,
    bG556: real > $o ).

tff(func_def_1462,type,
    bG557: rat > $o ).

tff(func_def_1463,type,
    bG558: int > $o ).

tff(func_def_1464,type,
    bG559: code_integer > $o ).

tff(func_def_1465,type,
    bG560: complex > $o ).

tff(func_def_1466,type,
    bG561: real > $o ).

tff(func_def_1467,type,
    bG562: rat > $o ).

tff(func_def_1468,type,
    bG563: int > $o ).

tff(func_def_1469,type,
    bG564: code_integer > $o ).

tff(func_def_1470,type,
    iG565: int > int ).

tff(func_def_1471,type,
    bG566: nat > $o ).

tff(func_def_1472,type,
    bG567: nat > $o ).

tff(func_def_1473,type,
    bG568: nat > $o ).

tff(func_def_1474,type,
    bG569: nat > $o ).

tff(func_def_1475,type,
    iG570: code_integer > code_integer ).

tff(func_def_1476,type,
    iG571: real > real ).

tff(func_def_1477,type,
    iG572: rat > rat ).

tff(func_def_1478,type,
    iG573: int > int ).

tff(func_def_1479,type,
    iG574: real > real ).

tff(func_def_1480,type,
    iG575: real > real ).

tff(func_def_1481,type,
    iG576: int > int ).

tff(func_def_1482,type,
    iG577: int > int ).

tff(func_def_1483,type,
    iG578: rat > rat ).

tff(func_def_1484,type,
    iG579: rat > rat ).

tff(func_def_1485,type,
    iG580: code_integer > code_integer ).

tff(func_def_1486,type,
    iG581: code_integer > code_integer ).

tff(func_def_1487,type,
    iG582: int > int ).

tff(func_def_1488,type,
    iG583: int > int ).

tff(func_def_1489,type,
    iG584: real > real ).

tff(func_def_1490,type,
    iG585: complex > real ).

tff(func_def_1491,type,
    bG588: ( int * int ) > $o ).

tff(func_def_1492,type,
    iG589: ( int * int ) > int ).

tff(func_def_1493,type,
    iG590: ( int * int ) > int ).

tff(func_def_1494,type,
    bG591: ( int * int ) > $o ).

tff(func_def_1495,type,
    iG592: ( int * int ) > int ).

tff(func_def_1496,type,
    iG593: ( int * int ) > int ).

tff(func_def_1497,type,
    iG594: ( nat * nat ) > nat ).

tff(func_def_1498,type,
    iG595: int > code_integer ).

tff(func_def_1499,type,
    iG596: int > complex ).

tff(func_def_1500,type,
    iG597: int > real ).

tff(func_def_1501,type,
    iG598: int > rat ).

tff(func_def_1502,type,
    iG599: int > int ).

tff(func_def_1503,type,
    bG601: ( int * int ) > $o ).

tff(func_def_1504,type,
    bG602: $o > $o ).

tff(func_def_1505,type,
    bG603: $o > $o ).

tff(func_def_1506,type,
    iG604: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1507,type,
    iG605: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1508,type,
    iG606: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1509,type,
    bG607: ( list_o * nat ) > $o ).

tff(func_def_1510,type,
    bG608: ( list_o * nat ) > $o ).

tff(func_def_1511,type,
    bG609: ( list_o * nat ) > $o ).

tff(func_def_1512,type,
    bG610: ( nat * int ) > $o ).

tff(func_def_1513,type,
    bG611: $o > $o ).

tff(func_def_1514,type,
    bG612: $o > $o ).

tff(func_def_1515,type,
    bG613: $o > $o ).

tff(func_def_1516,type,
    bG614: $o > $o ).

tff(func_def_1517,type,
    bG615: $o > $o ).

tff(func_def_1518,type,
    iG616: real > real ).

tff(func_def_1519,type,
    iG617: real > real ).

tff(func_def_1520,type,
    bG618: $o > $o ).

tff(func_def_1521,type,
    bG619: $o > $o ).

tff(func_def_1522,type,
    bG626: $o > $o ).

tff(func_def_1523,type,
    bG627: $o > $o ).

tff(func_def_1524,type,
    bG628: ( nat * int ) > $o ).

tff(func_def_1525,type,
    bG629: ( nat * int ) > $o ).

tff(func_def_1526,type,
    bG630: ( nat * int ) > $o ).

tff(func_def_1527,type,
    iG631: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1528,type,
    iG632: ( num * num ) > product_prod_int_int ).

tff(func_def_1529,type,
    iG633: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1530,type,
    iG634: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1531,type,
    iG635: ( num * num ) > product_prod_int_int ).

tff(func_def_1532,type,
    iG636: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1533,type,
    bG637: int > $o ).

tff(func_def_1534,type,
    iG638: ( int * int ) > int ).

tff(func_def_1535,type,
    iG639: ( int * int ) > int ).

tff(func_def_1536,type,
    iG642: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1537,type,
    iG643: ( num * num ) > product_prod_int_int ).

tff(func_def_1538,type,
    iG644: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1539,type,
    iG645: ( int * int ) > int ).

tff(func_def_1540,type,
    iG646: ( int * int ) > int ).

tff(func_def_1541,type,
    iG647: ( int * int ) > int ).

tff(func_def_1542,type,
    bG648: ( int * int ) > $o ).

tff(func_def_1543,type,
    bG649: ( int * int ) > $o ).

tff(func_def_1544,type,
    bG650: ( int * int ) > $o ).

tff(func_def_1545,type,
    iG651: ( int * int ) > int ).

tff(func_def_1546,type,
    bG652: ( int * int ) > $o ).

tff(func_def_1547,type,
    bG653: ( int * int ) > $o ).

tff(func_def_1548,type,
    iG654: ( int * int ) > int ).

tff(func_def_1549,type,
    bG655: $o > $o ).

tff(func_def_1550,type,
    bG656: $o > $o ).

tff(func_def_1551,type,
    bG657: $o > $o ).

tff(func_def_1552,type,
    bG658: $o > $o ).

tff(func_def_1553,type,
    bG659: $o > $o ).

tff(func_def_1554,type,
    bG660: $o > $o ).

tff(func_def_1555,type,
    bG661: $o > $o ).

tff(func_def_1556,type,
    bG662: $o > $o ).

tff(func_def_1557,type,
    bG663: $o > $o ).

tff(func_def_1558,type,
    bG664: $o > $o ).

tff(func_def_1559,type,
    bG665: $o > $o ).

tff(func_def_1560,type,
    bG666: $o > $o ).

tff(func_def_1561,type,
    bG667: $o > $o ).

tff(func_def_1562,type,
    bG668: $o > $o ).

tff(func_def_1563,type,
    bG669: $o > $o ).

tff(func_def_1564,type,
    bG670: $o > $o ).

tff(func_def_1565,type,
    bG671: $o > $o ).

tff(func_def_1566,type,
    bG672: $o > $o ).

tff(func_def_1567,type,
    iG673: int > real ).

tff(func_def_1568,type,
    bG674: $o > $o ).

tff(func_def_1569,type,
    bG675: $o > $o ).

tff(func_def_1570,type,
    bG676: $o > $o ).

tff(func_def_1571,type,
    bG677: $o > $o ).

tff(func_def_1572,type,
    bG678: $o > $o ).

tff(func_def_1573,type,
    bG679: $o > $o ).

tff(func_def_1574,type,
    bG680: $o > $o ).

tff(func_def_1575,type,
    bG681: $o > $o ).

tff(func_def_1576,type,
    bG682: $o > $o ).

tff(func_def_1577,type,
    bG683: $o > $o ).

tff(func_def_1578,type,
    bG684: $o > $o ).

tff(func_def_1579,type,
    bG685: $o > $o ).

tff(func_def_1580,type,
    bG686: $o > $o ).

tff(func_def_1581,type,
    bG687: $o > $o ).

tff(func_def_1582,type,
    bG688: $o > $o ).

tff(func_def_1583,type,
    bG689: $o > $o ).

tff(func_def_1584,type,
    bG690: $o > $o ).

tff(func_def_1585,type,
    bG691: $o > $o ).

tff(func_def_1586,type,
    bG692: $o > $o ).

tff(func_def_1587,type,
    bG693: $o > $o ).

tff(func_def_1588,type,
    bG694: $o > $o ).

tff(func_def_1589,type,
    bG695: $o > $o ).

tff(func_def_1590,type,
    bG696: $o > $o ).

tff(func_def_1591,type,
    bG697: $o > $o ).

tff(func_def_1592,type,
    bG698: $o > $o ).

tff(func_def_1593,type,
    bG699: $o > $o ).

tff(func_def_1594,type,
    bG700: $o > $o ).

tff(func_def_1595,type,
    bG701: $o > $o ).

tff(func_def_1596,type,
    bG702: $o > $o ).

tff(func_def_1597,type,
    bG703: $o > $o ).

tff(func_def_1598,type,
    bG704: $o > $o ).

tff(func_def_1599,type,
    bG705: $o > $o ).

tff(func_def_1600,type,
    bG706: $o > $o ).

tff(func_def_1601,type,
    bG711: $o > $o ).

tff(func_def_1602,type,
    bG712: $o > $o ).

tff(func_def_1603,type,
    bG714: $o > $o ).

tff(func_def_1604,type,
    bG717: $o > $o ).

tff(func_def_1605,type,
    bG718: $o > $o ).

tff(func_def_1606,type,
    bG719: $o > $o ).

tff(func_def_1607,type,
    bG720: $o > $o ).

tff(func_def_1608,type,
    bG729: $o > $o ).

tff(func_def_1609,type,
    bG730: $o > $o ).

tff(func_def_1610,type,
    bG731: $o > $o ).

tff(func_def_1611,type,
    bG734: $o > $o ).

tff(func_def_1612,type,
    iG739: ( nat * nat ) > nat ).

tff(func_def_1613,type,
    bG740: ( nat * nat ) > $o ).

tff(func_def_1614,type,
    bG741: ( int * int ) > $o ).

tff(func_def_1615,type,
    bG742: ( int * int ) > $o ).

tff(func_def_1616,type,
    iG743: ( int * int ) > int ).

tff(func_def_1617,type,
    bG744: ( int * int ) > $o ).

tff(func_def_1618,type,
    bG745: ( int * int ) > $o ).

tff(func_def_1619,type,
    iG746: ( int * int ) > int ).

tff(func_def_1620,type,
    iG747: ( int * real ) > real ).

tff(func_def_1621,type,
    bG748: nat > $o ).

tff(func_def_1622,type,
    bG749: nat > $o ).

tff(func_def_1623,type,
    iG750: ( nat * nat ) > nat ).

tff(func_def_1624,type,
    iG751: ( nat * nat ) > nat ).

tff(func_def_1625,type,
    bG752: ( nat * nat ) > $o ).

tff(func_def_1626,type,
    bG753: code_integer > $o ).

tff(func_def_1627,type,
    bG754: code_integer > $o ).

tff(func_def_1628,type,
    bG755: nat > $o ).

tff(func_def_1629,type,
    bG756: nat > $o ).

tff(func_def_1630,type,
    bG757: int > $o ).

tff(func_def_1631,type,
    bG758: int > $o ).

tff(func_def_1632,type,
    bG759: code_integer > $o ).

tff(func_def_1633,type,
    bG760: code_integer > $o ).

tff(func_def_1634,type,
    bG761: nat > $o ).

tff(func_def_1635,type,
    bG762: nat > $o ).

tff(func_def_1636,type,
    bG763: int > $o ).

tff(func_def_1637,type,
    bG764: int > $o ).

tff(func_def_1638,type,
    bG765: nat > $o ).

tff(func_def_1639,type,
    bG766: nat > $o ).

tff(func_def_1640,type,
    bG767: ( int * int ) > $o ).

tff(func_def_1641,type,
    iG768: ( int * int ) > int ).

tff(func_def_1642,type,
    iG769: ( int * int ) > int ).

tff(func_def_1643,type,
    iG770: ( int * int ) > int ).

tff(func_def_1644,type,
    iG771: ( int * int ) > int ).

tff(func_def_1645,type,
    iG772: real > real ).

tff(func_def_1646,type,
    iG773: rat > rat ).

tff(func_def_1647,type,
    bG774: int > $o ).

tff(func_def_1648,type,
    bG775: $o > $o ).

tff(func_def_1649,type,
    bG776: set_o > $o ).

tff(func_def_1650,type,
    lG777: ( nat * nat ) > nat ).

tff(func_def_1651,type,
    lG779: ( nat * nat ) > nat ).

tff(func_def_1652,type,
    bG781: $o > $o ).

tff(func_def_1653,type,
    bG782: $o > $o ).

tff(func_def_1654,type,
    lG783: ( nat * nat ) > nat ).

tff(func_def_1655,type,
    lG785: ( nat * nat ) > nat ).

tff(func_def_1656,type,
    bG787: $o > $o ).

tff(func_def_1657,type,
    bG788: $o > $o ).

tff(func_def_1658,type,
    bG789: $o > $o ).

tff(func_def_1659,type,
    bG790: $o > $o ).

tff(func_def_1660,type,
    iG791: ( nat * nat ) > nat ).

tff(func_def_1661,type,
    lG792: ( int * int ) > int ).

tff(func_def_1662,type,
    iG793: ( int * int ) > nat ).

tff(func_def_1663,type,
    iG794: ( int * int ) > nat ).

tff(func_def_1664,type,
    lG795: ( nat * nat ) > nat ).

tff(func_def_1665,type,
    lG797: ( nat * nat ) > nat ).

tff(func_def_1666,type,
    lG799: ( nat * nat ) > nat ).

tff(func_def_1667,type,
    lG801: ( nat * nat ) > nat ).

tff(func_def_1668,type,
    bG805: $o > $o ).

tff(func_def_1669,type,
    bG806: $o > $o ).

tff(func_def_1670,type,
    lG807: ( nat * nat ) > nat ).

tff(func_def_1671,type,
    bG811: $o > $o ).

tff(func_def_1672,type,
    bG812: $o > $o ).

tff(func_def_1673,type,
    lG813: ( nat * nat ) > nat ).

tff(func_def_1674,type,
    bG817: $o > $o ).

tff(func_def_1675,type,
    bG818: $o > $o ).

tff(func_def_1676,type,
    lG819: ( nat * nat ) > nat ).

tff(func_def_1677,type,
    lG821: ( nat * nat ) > nat ).

tff(func_def_1678,type,
    lG823: nat > nat ).

tff(func_def_1679,type,
    lG824: nat > nat ).

tff(func_def_1680,type,
    iG825: nat > vEBT_VEBT ).

tff(func_def_1681,type,
    lG826: nat > nat ).

tff(func_def_1682,type,
    lG827: nat > nat ).

tff(func_def_1683,type,
    iG828: nat > vEBT_VEBT ).

tff(func_def_1684,type,
    lG829: ( nat * nat ) > nat ).

tff(func_def_1685,type,
    lG831: ( nat * nat ) > nat ).

tff(func_def_1686,type,
    bG833: $o > $o ).

tff(func_def_1687,type,
    bG834: $o > $o ).

tff(func_def_1688,type,
    bG835: $o > $o ).

tff(func_def_1689,type,
    bG836: $o > $o ).

tff(func_def_1690,type,
    lG837: ( nat * nat ) > nat ).

tff(func_def_1691,type,
    bG838: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1692,type,
    iG839: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1693,type,
    lG840: ( nat * nat ) > nat ).

tff(func_def_1694,type,
    bG842: $o > $o ).

tff(func_def_1695,type,
    bG843: $o > $o ).

tff(func_def_1696,type,
    bG844: $o > $o ).

tff(func_def_1697,type,
    bG845: $o > $o ).

tff(func_def_1698,type,
    lG846: ( nat * nat ) > nat ).

tff(func_def_1699,type,
    lG848: ( nat * nat ) > nat ).

tff(func_def_1700,type,
    lG850: ( nat * nat ) > nat ).

tff(func_def_1701,type,
    bG851: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1702,type,
    iG852: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1703,type,
    bG853: $o > $o ).

tff(func_def_1704,type,
    bG854: $o > $o ).

tff(func_def_1705,type,
    bG855: $o > $o ).

tff(func_def_1706,type,
    bG856: $o > $o ).

tff(func_def_1707,type,
    iG857: ( nat * $o ) > $o ).

tff(func_def_1708,type,
    iG858: ( nat * $o * $o ) > $o ).

tff(func_def_1709,type,
    bG859: $o > $o ).

tff(func_def_1710,type,
    bG860: $o > $o ).

tff(func_def_1711,type,
    lG861: ( nat * nat ) > nat ).

tff(func_def_1712,type,
    bG865: $o > $o ).

tff(func_def_1713,type,
    bG866: $o > $o ).

tff(func_def_1714,type,
    bG867: $o > $o ).

tff(func_def_1715,type,
    bG868: $o > $o ).

tff(func_def_1716,type,
    lG869: ( nat * nat ) > nat ).

tff(func_def_1717,type,
    bG873: $o > $o ).

tff(func_def_1718,type,
    bG874: $o > $o ).

tff(func_def_1719,type,
    bG875: $o > $o ).

tff(func_def_1720,type,
    bG876: $o > $o ).

tff(func_def_1721,type,
    iG877: complex > real ).

tff(func_def_1722,type,
    lG878: nat > nat ).

tff(func_def_1723,type,
    lG879: nat > nat ).

tff(func_def_1724,type,
    iG880: nat > vEBT_VEBT ).

tff(func_def_1725,type,
    iG881: ( int * int ) > set_int ).

tff(func_def_1726,type,
    iG882: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1727,type,
    iG883: rat > rat ).

tff(func_def_1728,type,
    iG884: rat > rat ).

tff(func_def_1729,type,
    iG885: rat > rat ).

tff(func_def_1730,type,
    bG886: $o > $o ).

tff(func_def_1731,type,
    bG887: $o > $o ).

tff(func_def_1732,type,
    iG888: ( nat * nat ) > set_nat ).

tff(func_def_1733,type,
    iG889: ( num * nat ) > set_nat ).

tff(func_def_1734,type,
    iG890: ( nat * nat ) > set_nat ).

tff(func_def_1735,type,
    iG891: ( nat * nat * nat ) > set_nat ).

tff(func_def_1736,type,
    iG892: code_integer > code_integer ).

tff(func_def_1737,type,
    iG893: code_integer > code_integer ).

tff(func_def_1738,type,
    lG894: int > code_integer ).

tff(func_def_1739,type,
    iG895: int > code_integer ).

tff(func_def_1740,type,
    iG896: int > code_integer ).

tff(func_def_1741,type,
    iG897: int > code_integer ).

tff(func_def_1742,type,
    iG898: code_integer > code_integer ).

tff(func_def_1743,type,
    lG899: num > code_integer ).

tff(func_def_1744,type,
    bG900: code_integer > $o ).

tff(func_def_1745,type,
    lG901: num > code_integer ).

tff(func_def_1746,type,
    iG902: code_integer > produc6271795597528267376eger_o ).

tff(func_def_1747,type,
    iG903: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1748,type,
    iG904: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1749,type,
    iG905: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1750,type,
    iG906: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1751,type,
    iG907: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1752,type,
    iG908: complex > real ).

tff(func_def_1753,type,
    iG909: complex > real ).

tff(func_def_1754,type,
    bG910: ( int * int ) > $o ).

tff(func_def_1755,type,
    bG911: nat > $o ).

tff(func_def_1756,type,
    bG912: nat > $o ).

tff(func_def_1757,type,
    bG913: ( nat * nat ) > $o ).

tff(func_def_1758,type,
    iG914: ( int * int ) > int ).

tff(func_def_1759,type,
    iG915: ( int * int ) > int ).

tff(func_def_1760,type,
    iG916: ( int * int ) > int ).

tff(func_def_1761,type,
    iG917: ( nat * nat ) > nat ).

tff(func_def_1762,type,
    iG918: ( nat * nat ) > nat ).

tff(func_def_1763,type,
    iG919: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1764,type,
    iG920: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1765,type,
    iG921: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1766,type,
    bG922: nat > $o ).

tff(func_def_1767,type,
    iG923: set_nat > nat ).

tff(func_def_1768,type,
    iG924: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1769,type,
    iG925: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1770,type,
    iG926: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1771,type,
    iG927: ( int * int ) > int ).

tff(func_def_1772,type,
    lG928: product_prod_int_int > int ).

tff(func_def_1773,type,
    lG929: product_prod_int_int > int ).

tff(func_def_1774,type,
    iG930: product_prod_int_int > product_prod_int_int ).

tff(func_def_1775,type,
    iG931: product_prod_int_int > product_prod_int_int ).

tff(func_def_1776,type,
    iG932: ( int * int ) > int ).

tff(func_def_1777,type,
    iG933: ( nat * nat ) > nat ).

tff(func_def_1778,type,
    iG934: ( nat * nat ) > nat ).

tff(func_def_1779,type,
    iG935: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1780,type,
    iG936: ( nat * nat ) > nat ).

tff(func_def_1781,type,
    iG937: real > set_real ).

tff(func_def_1782,type,
    iG938: ( nat * real ) > real ).

tff(func_def_1783,type,
    bG939: $o > $o ).

tff(func_def_1784,type,
    bG940: $o > $o ).

tff(func_def_1785,type,
    bG941: $o > $o ).

tff(func_def_1786,type,
    bG942: $o > $o ).

tff(func_def_1787,type,
    bG943: $o > $o ).

tff(func_def_1788,type,
    bG944: $o > $o ).

tff(func_def_1789,type,
    bG945: $o > $o ).

tff(func_def_1790,type,
    bG946: $o > $o ).

tff(func_def_1791,type,
    bG947: $o > $o ).

tff(func_def_1792,type,
    bG948: $o > $o ).

tff(func_def_1793,type,
    bG949: $o > $o ).

tff(func_def_1794,type,
    bG950: $o > $o ).

tff(func_def_1795,type,
    bG951: $o > $o ).

tff(func_def_1796,type,
    bG952: $o > $o ).

tff(func_def_1797,type,
    bG953: $o > $o ).

tff(func_def_1798,type,
    bG954: $o > $o ).

tff(func_def_1799,type,
    bG955: $o > $o ).

tff(func_def_1800,type,
    bG956: $o > $o ).

tff(func_def_1801,type,
    bG957: $o > $o ).

tff(func_def_1802,type,
    bG958: $o > $o ).

tff(func_def_1803,type,
    bG959: $o > $o ).

tff(func_def_1804,type,
    bG960: $o > $o ).

tff(func_def_1805,type,
    bG961: $o > $o ).

tff(func_def_1806,type,
    bG962: $o > $o ).

tff(func_def_1807,type,
    bG963: $o > $o ).

tff(func_def_1808,type,
    bG964: $o > $o ).

tff(func_def_1809,type,
    bG965: $o > $o ).

tff(func_def_1810,type,
    bG966: $o > $o ).

tff(func_def_1811,type,
    bG967: $o > $o ).

tff(func_def_1812,type,
    bG968: $o > $o ).

tff(func_def_1813,type,
    bG969: $o > $o ).

tff(func_def_1814,type,
    bG970: $o > $o ).

tff(func_def_1815,type,
    iG972: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1816,type,
    iG973: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1817,type,
    iG974: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1818,type,
    iG975: code_integer > nat ).

tff(func_def_1819,type,
    iG976: code_integer > int ).

tff(func_def_1820,type,
    iG977: code_integer > int ).

tff(func_def_1821,type,
    iG978: nat > num ).

tff(func_def_1822,type,
    iG979: ( int * int * list_int ) > list_int ).

tff(func_def_1823,type,
    iG980: ( int * int ) > list_int ).

tff(func_def_1824,type,
    iG981: ( int * int ) > list_int ).

tff(func_def_1825,type,
    iG982: ( num * num ) > list_int ).

tff(func_def_1826,type,
    iG983: ( num * num ) > list_int ).

tff(func_def_1827,type,
    iG984: ( num * num ) > list_int ).

tff(func_def_1828,type,
    iG985: ( num * num ) > list_int ).

tff(func_def_1829,type,
    iG986: ( int * int ) > list_int ).

tff(func_def_1830,type,
    iG987: ( int * int ) > list_int ).

tff(func_def_1831,type,
    lG988: nat > nat ).

tff(func_def_1832,type,
    lG989: nat > nat ).

tff(func_def_1833,type,
    bG990: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1834,type,
    bG991: $o > $o ).

tff(func_def_1835,type,
    bG992: $o > $o ).

tff(func_def_1836,type,
    lG993: nat > nat ).

tff(func_def_1837,type,
    lG994: nat > nat ).

tff(func_def_1838,type,
    bG995: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1839,type,
    lG996: nat > nat ).

tff(func_def_1840,type,
    lG997: nat > nat ).

tff(func_def_1841,type,
    bG998: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1842,type,
    bG999: $o > $o ).

tff(func_def_1843,type,
    bG1000: $o > $o ).

tff(func_def_1844,type,
    lG1001: nat > nat ).

tff(func_def_1845,type,
    lG1002: nat > nat ).

tff(func_def_1846,type,
    bG1003: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1847,type,
    bG1004: $o > $o ).

tff(func_def_1848,type,
    bG1005: $o > $o ).

tff(func_def_1849,type,
    lG1006: nat > nat ).

tff(func_def_1850,type,
    lG1007: nat > nat ).

tff(func_def_1851,type,
    bG1008: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1852,type,
    bG1009: $o > $o ).

tff(func_def_1853,type,
    bG1010: $o > $o ).

tff(func_def_1854,type,
    bG1011: $o > $o ).

tff(func_def_1855,type,
    bG1012: $o > $o ).

tff(func_def_1856,type,
    lG1013: nat > nat ).

tff(func_def_1857,type,
    lG1014: nat > nat ).

tff(func_def_1858,type,
    bG1015: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1859,type,
    bG1016: $o > $o ).

tff(func_def_1860,type,
    bG1017: $o > $o ).

tff(func_def_1861,type,
    bG1018: $o > $o ).

tff(func_def_1862,type,
    bG1019: $o > $o ).

tff(func_def_1863,type,
    lG1020: nat > nat ).

tff(func_def_1864,type,
    lG1021: nat > nat ).

tff(func_def_1865,type,
    bG1022: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_1866,type,
    bG1023: $o > $o ).

tff(func_def_1867,type,
    bG1024: $o > $o ).

tff(func_def_1868,type,
    bG1025: $o > $o ).

tff(func_def_1869,type,
    bG1026: $o > $o ).

tff(func_def_1870,type,
    iG1027: ( num * nat ) > option_num ).

tff(func_def_1871,type,
    iG1028: ( nat * fun_nat_real ) > real ).

tff(func_def_1872,type,
    iG1029: ( int * int ) > product_prod_int_int ).

tff(func_def_1873,type,
    lG1030: code_integer > int ).

tff(func_def_1874,type,
    iG1031: ( code_integer * code_integer ) > int ).

tff(func_def_1875,type,
    lG1032: code_integer > nat ).

tff(func_def_1876,type,
    lG1033: code_integer > nat ).

tff(func_def_1877,type,
    iG1034: ( code_integer * code_integer ) > nat ).

tff(func_def_1878,type,
    bG1035: $o > $o ).

tff(func_def_1879,type,
    bG1036: $o > $o ).

tff(func_def_1880,type,
    iG1037: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_1881,type,
    iG1038: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_1882,type,
    iG1039: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1883,type,
    iG1040: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1884,type,
    iG1041: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1885,type,
    iG1042: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1886,type,
    iG1043: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1887,type,
    iG1044: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1888,type,
    iG1045: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1889,type,
    bG1046: code_integer > $o ).

tff(func_def_1890,type,
    sK1116: ( fun_int_o * real ) > int ).

tff(func_def_1891,type,
    sK1117: real > int ).

tff(func_def_1892,type,
    sK1118: int > int ).

tff(func_def_1893,type,
    sK1119: ( int * int ) > int ).

tff(func_def_1894,type,
    sK1120: ( int * int ) > int ).

tff(func_def_1895,type,
    sK1121: fun_int_o > int ).

tff(func_def_1896,type,
    sK1122: fun_int_o > int ).

tff(func_def_1897,type,
    sK1123: ( fun_int_o * int ) > int ).

tff(func_def_1898,type,
    sK1124: ( fun_int_o * int ) > int ).

tff(func_def_1899,type,
    sK1125: ( int * fun_int_o ) > int ).

tff(func_def_1900,type,
    sK1126: ( int * fun_int_o ) > int ).

tff(func_def_1901,type,
    sK1127: ( int * fun_int_o ) > int ).

tff(func_def_1902,type,
    sK1128: ( int * fun_int_o ) > int ).

tff(func_def_1903,type,
    sK1129: ( fun_int_o * int ) > int ).

tff(func_def_1904,type,
    sK1130: ( fun_int_o * int ) > int ).

tff(func_def_1905,type,
    sK1131: ( int * int ) > int ).

tff(func_def_1906,type,
    sK1132: ( int * int ) > int ).

tff(func_def_1907,type,
    sK1133: ( int * int ) > int ).

tff(func_def_1908,type,
    sK1134: ( int * int ) > int ).

tff(func_def_1909,type,
    sK1135: ( int * fun_int_o ) > int ).

tff(func_def_1910,type,
    sK1136: ( fun_int_o * int * int ) > int ).

tff(func_def_1911,type,
    sK1137: ( fun_int_o * int * int ) > int ).

tff(func_def_1912,type,
    sK1138: ( fun_int_o * int * int ) > int ).

tff(func_def_1913,type,
    sK1139: ( fun_int_o * int * int ) > int ).

tff(func_def_1914,type,
    sK1140: ( int * int ) > nat ).

tff(func_def_1915,type,
    sK1141: real > int ).

tff(func_def_1916,type,
    sK1142: real > int ).

tff(func_def_1917,type,
    sK1143: ( int * int ) > nat ).

tff(func_def_1918,type,
    sK1144: ( fun_nat_o * int ) > nat ).

tff(func_def_1919,type,
    sK1145: int > nat ).

tff(func_def_1920,type,
    sK1146: int > nat ).

tff(func_def_1921,type,
    sK1147: int > nat ).

tff(func_def_1922,type,
    sK1148: int > nat ).

tff(func_def_1923,type,
    sK1149: int > nat ).

tff(func_def_1924,type,
    sK1150: int > nat ).

tff(func_def_1925,type,
    sK1151: int > nat ).

tff(func_def_1926,type,
    sK1152: int > nat ).

tff(func_def_1927,type,
    sK1153: int > nat ).

tff(func_def_1928,type,
    sK1154: fun_int_o > nat ).

tff(func_def_1929,type,
    sK1155: fun_int_o > nat ).

tff(func_def_1930,type,
    sK1156: int > nat ).

tff(func_def_1931,type,
    sK1157: int > nat ).

tff(func_def_1932,type,
    sK1158: int > nat ).

tff(func_def_1933,type,
    sK1159: int > nat ).

tff(func_def_1934,type,
    sK1160: int > nat ).

tff(func_def_1935,type,
    sK1161: int > nat ).

tff(func_def_1936,type,
    sK1162: int > nat ).

tff(func_def_1937,type,
    sK1163: int > nat ).

tff(func_def_1938,type,
    sK1164: real > nat ).

tff(func_def_1939,type,
    sK1165: real > nat ).

tff(func_def_1940,type,
    sK1166: fun_real_o > nat ).

tff(func_def_1941,type,
    sK1167: fun_real_o > real ).

tff(func_def_1942,type,
    sK1168: fun_real_o > real ).

tff(func_def_1943,type,
    sK1169: fun_real_o > nat ).

tff(func_def_1944,type,
    sK1170: fun_real_o > real ).

tff(func_def_1945,type,
    sK1171: fun_real_o > real ).

tff(func_def_1946,type,
    sK1172: real > nat ).

tff(func_def_1947,type,
    sK1173: real > nat ).

tff(func_def_1948,type,
    sK1174: real > nat ).

tff(func_def_1949,type,
    sK1175: real > nat ).

tff(func_def_1950,type,
    sK1176: real > nat ).

tff(func_def_1951,type,
    sK1177: real > nat ).

tff(func_def_1952,type,
    sK1178: real > nat ).

tff(func_def_1953,type,
    sK1179: real > nat ).

tff(func_def_1954,type,
    sK1180: real > nat ).

tff(func_def_1955,type,
    sK1181: ( real * real ) > nat ).

tff(func_def_1956,type,
    sK1182: ( real * real ) > nat ).

tff(func_def_1957,type,
    sK1183: ( real * real ) > nat ).

tff(func_def_1958,type,
    sK1184: real > nat ).

tff(func_def_1959,type,
    sK1185: real > nat ).

tff(func_def_1960,type,
    sK1186: real > nat ).

tff(func_def_1961,type,
    sK1187: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1962,type,
    sK1188: fun_op8028897214545316308_nat_o > option4927543243414619207at_nat ).

tff(func_def_1963,type,
    sK1189: fun_op8028897214545316308_nat_o > product_prod_nat_nat ).

tff(func_def_1964,type,
    sK1190: fun_op8028897214545316308_nat_o > product_prod_nat_nat ).

tff(func_def_1965,type,
    sK1191: fun_op8028897214545316308_nat_o > option4927543243414619207at_nat ).

tff(func_def_1966,type,
    sK1192: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1967,type,
    sK1193: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1968,type,
    sK1194: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1969,type,
    sK1195: list_VEBT_VEBT > nat ).

tff(func_def_1970,type,
    sK1196: vEBT_VEBT > nat ).

tff(func_def_1971,type,
    sK1197: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1972,type,
    sK1198: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1973,type,
    sK1199: list_VEBT_VEBT > nat ).

tff(func_def_1974,type,
    sK1200: vEBT_VEBT > nat ).

tff(func_def_1975,type,
    sK1201: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1976,type,
    sK1202: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1977,type,
    sK1203: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1978,type,
    sK1204: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1979,type,
    sK1205: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1980,type,
    sK1206: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1981,type,
    sK1207: list_VEBT_VEBT > nat ).

tff(func_def_1982,type,
    sK1208: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1983,type,
    sK1209: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1984,type,
    sK1210: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1985,type,
    sK1211: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1986,type,
    sK1212: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1987,type,
    sK1213: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1988,type,
    sK1214: list_VEBT_VEBT > nat ).

tff(func_def_1989,type,
    sK1215: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1990,type,
    sK1216: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1991,type,
    sK1217: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1992,type,
    sK1218: fun_nat_int > nat ).

tff(func_def_1993,type,
    sK1219: fun_nat_int > nat ).

tff(func_def_1994,type,
    sK1220: fun_nat_int > nat ).

tff(func_def_1995,type,
    sK1221: fun_nat_int > nat ).

tff(func_def_1996,type,
    sK1222: ( nat * real ) > real ).

tff(func_def_1997,type,
    sK1223: ( nat * real ) > real ).

tff(func_def_1998,type,
    sK1224: ( real * nat ) > real ).

tff(func_def_1999,type,
    sK1225: ( real * real ) > nat ).

tff(func_def_2000,type,
    sK1226: ( real * real ) > nat ).

tff(func_def_2001,type,
    sK1227: fun_nat_real > nat ).

tff(func_def_2002,type,
    sK1228: fun_nat_real > nat ).

tff(func_def_2003,type,
    sK1229: fun_nat_real > nat ).

tff(func_def_2004,type,
    sK1230: fun_nat_real > nat ).

tff(func_def_2005,type,
    sK1231: fun_nat_real > nat ).

tff(func_def_2006,type,
    sK1232: fun_nat_real > nat ).

tff(func_def_2007,type,
    sK1233: fun_nat_real > nat ).

tff(func_def_2008,type,
    sK1234: fun_nat_real > nat ).

tff(func_def_2009,type,
    sK1235: ( fun_int_o * real ) > int ).

tff(func_def_2010,type,
    sK1236: real > int ).

tff(func_def_2011,type,
    sK1237: fun_real_int > real ).

tff(func_def_2012,type,
    sK1238: fun_real_int > real ).

tff(func_def_2013,type,
    sK1239: fun_real_int > real ).

tff(func_def_2014,type,
    sK1240: fun_real_int > real ).

tff(func_def_2015,type,
    sK1241: fun_real_int > real ).

tff(func_def_2016,type,
    sK1242: fun_real_int > real ).

tff(func_def_2017,type,
    sK1243: fun_real_real > real ).

tff(func_def_2018,type,
    sK1244: fun_real_real > real ).

tff(func_def_2019,type,
    sK1245: fun_real_real > real ).

tff(func_def_2020,type,
    sK1246: fun_real_real > real ).

tff(func_def_2021,type,
    sK1247: fun_real_real > real ).

tff(func_def_2022,type,
    sK1248: fun_real_real > real ).

tff(func_def_2023,type,
    sK1249: fun_real_real > real ).

tff(func_def_2024,type,
    sK1250: fun_real_real > real ).

tff(func_def_2025,type,
    sK1251: fun_real_real > real ).

tff(func_def_2026,type,
    sK1252: fun_real_real > real ).

tff(func_def_2027,type,
    sK1253: fun_real_real > real ).

tff(func_def_2028,type,
    sK1254: fun_real_real > real ).

tff(func_def_2029,type,
    sK1255: ( real * real ) > real ).

tff(func_def_2030,type,
    sK1256: ( real * real ) > real ).

tff(func_def_2031,type,
    sK1257: int > int ).

tff(func_def_2032,type,
    sK1258: int > int ).

tff(func_def_2033,type,
    sK1259: int > int ).

tff(func_def_2034,type,
    sK1260: int > int ).

tff(func_def_2035,type,
    sK1261: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2036,type,
    sK1262: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2037,type,
    sK1263: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2038,type,
    sK1264: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2039,type,
    sK1265: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2040,type,
    sK1266: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2041,type,
    sK1267: int > int ).

tff(func_def_2042,type,
    sK1268: int > int ).

tff(func_def_2043,type,
    sK1269: int > int ).

tff(func_def_2044,type,
    sK1270: int > int ).

tff(func_def_2045,type,
    sK1271: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2046,type,
    sK1272: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2047,type,
    sK1273: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2048,type,
    sK1274: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2049,type,
    sK1275: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_2050,type,
    sK1276: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2051,type,
    sK1277: int > int ).

tff(func_def_2052,type,
    sK1278: int > int ).

tff(func_def_2053,type,
    sK1279: int > int ).

tff(func_def_2054,type,
    sK1280: int > int ).

tff(func_def_2055,type,
    sK1281: fun_int_fun_int_o > int ).

tff(func_def_2056,type,
    sK1282: fun_int_fun_int_o > int ).

tff(func_def_2057,type,
    sK1283: fun_int_fun_int_o > int ).

tff(func_def_2058,type,
    sK1284: fun_int_fun_int_o > int ).

tff(func_def_2059,type,
    sK1285: fun_int_fun_int_o > int ).

tff(func_def_2060,type,
    sK1286: fun_int_fun_int_o > int ).

tff(func_def_2061,type,
    sK1287: fun_int_fun_int_o > int ).

tff(func_def_2062,type,
    sK1288: fun_int_fun_int_o > int ).

tff(func_def_2063,type,
    sK1289: fun_int_fun_int_o > int ).

tff(func_def_2064,type,
    sK1290: int > int ).

tff(func_def_2065,type,
    sK1291: int > int ).

tff(func_def_2066,type,
    sK1292: real > real ).

tff(func_def_2067,type,
    sK1293: real > real ).

tff(func_def_2068,type,
    sK1294: real > real ).

tff(func_def_2069,type,
    sK1295: real > real ).

tff(func_def_2070,type,
    sK1296: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2071,type,
    sK1297: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2072,type,
    sK1298: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2073,type,
    sK1299: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2074,type,
    sK1300: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2075,type,
    sK1301: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2076,type,
    sK1302: real > real ).

tff(func_def_2077,type,
    sK1303: real > real ).

tff(func_def_2078,type,
    sK1304: real > real ).

tff(func_def_2079,type,
    sK1305: real > real ).

tff(func_def_2080,type,
    sK1306: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2081,type,
    sK1307: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2082,type,
    sK1308: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2083,type,
    sK1309: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2084,type,
    sK1310: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2085,type,
    sK1311: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2086,type,
    sK1312: real > real ).

tff(func_def_2087,type,
    sK1313: real > real ).

tff(func_def_2088,type,
    sK1314: real > real ).

tff(func_def_2089,type,
    sK1315: real > real ).

tff(func_def_2090,type,
    sK1316: real > real ).

tff(func_def_2091,type,
    sK1317: real > real ).

tff(func_def_2092,type,
    sK1318: ( real * real * real ) > real ).

tff(func_def_2093,type,
    sK1319: ( real * real * real ) > real ).

tff(func_def_2094,type,
    sK1320: ( real * real ) > real ).

tff(func_def_2095,type,
    sK1321: ( real * real ) > real ).

tff(func_def_2096,type,
    sK1322: fun_real_fun_real_o > real ).

tff(func_def_2097,type,
    sK1323: fun_real_fun_real_o > real ).

tff(func_def_2098,type,
    sK1324: fun_real_fun_real_o > real ).

tff(func_def_2099,type,
    sK1325: fun_real_fun_real_o > real ).

tff(func_def_2100,type,
    sK1326: fun_real_fun_real_o > real ).

tff(func_def_2101,type,
    sK1327: ( real * real ) > real ).

tff(func_def_2102,type,
    sK1328: real > real ).

tff(func_def_2103,type,
    sK1329: real > real ).

tff(func_def_2104,type,
    sK1330: ( real * real ) > real ).

tff(func_def_2105,type,
    sK1331: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2106,type,
    sK1332: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2107,type,
    sK1333: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2108,type,
    sK1334: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2109,type,
    sK1335: set_real > real ).

tff(func_def_2110,type,
    sK1336: set_real > real ).

tff(func_def_2111,type,
    sK1337: set_real > real ).

tff(func_def_2112,type,
    sK1338: set_real > real ).

tff(func_def_2113,type,
    sK1339: ( set_real * real ) > real ).

tff(func_def_2114,type,
    sK1340: ( set_real * real ) > real ).

tff(func_def_2115,type,
    sK1341: ( real * set_real ) > set_real ).

tff(func_def_2116,type,
    sK1342: ( real * set_real ) > set_real ).

tff(func_def_2117,type,
    sK1343: int > int ).

tff(func_def_2118,type,
    sK1344: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2119,type,
    sK1345: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2120,type,
    sK1346: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2121,type,
    sK1347: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_2122,type,
    sK1348: ( fun_int_o * int * int ) > int ).

tff(func_def_2123,type,
    sK1349: ( fun_int_o * int * int ) > int ).

tff(func_def_2124,type,
    sK1350: ( fun_int_o * int * int ) > int ).

tff(func_def_2125,type,
    sK1351: ( fun_int_o * int * int ) > int ).

tff(func_def_2126,type,
    sK1352: ( int * int ) > int ).

tff(func_def_2127,type,
    sK1353: ( int * int ) > int ).

tff(func_def_2128,type,
    sK1354: ( int * int * int ) > int ).

tff(func_def_2129,type,
    sK1355: fun_int_o > int ).

tff(func_def_2130,type,
    sK1356: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2131,type,
    sK1357: ( int * fun_int_o ) > int ).

tff(func_def_2132,type,
    sK1358: ( int * fun_int_o ) > int ).

tff(func_def_2133,type,
    sK1359: fun_int_o > int ).

tff(func_def_2134,type,
    sK1360: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_2135,type,
    sK1361: ( int * fun_int_o ) > int ).

tff(func_def_2136,type,
    sK1362: ( int * fun_int_o ) > int ).

tff(func_def_2137,type,
    sK1363: ( int * fun_int_o ) > int ).

tff(func_def_2138,type,
    sK1364: fun_real_o > int ).

tff(func_def_2139,type,
    sK1365: real > int ).

tff(func_def_2140,type,
    sK1366: ( fun_real_fun_real_o * real * real ) > real ).

tff(func_def_2141,type,
    sK1367: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2142,type,
    sK1368: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2143,type,
    sK1369: fun_real_fun_real_o > real ).

tff(func_def_2144,type,
    sK1370: fun_real_fun_real_o > real ).

tff(func_def_2145,type,
    sK1371: fun_real_fun_real_o > real ).

tff(func_def_2146,type,
    sK1372: rat > rat ).

tff(func_def_2147,type,
    sK1373: rat > rat ).

tff(func_def_2148,type,
    sK1374: rat > rat ).

tff(func_def_2149,type,
    sK1375: rat > rat ).

tff(func_def_2150,type,
    sK1376: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2151,type,
    sK1377: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2152,type,
    sK1378: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2153,type,
    sK1379: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2154,type,
    sK1380: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2155,type,
    sK1381: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2156,type,
    sK1382: rat > rat ).

tff(func_def_2157,type,
    sK1383: rat > rat ).

tff(func_def_2158,type,
    sK1384: rat > rat ).

tff(func_def_2159,type,
    sK1385: rat > rat ).

tff(func_def_2160,type,
    sK1386: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2161,type,
    sK1387: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2162,type,
    sK1388: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2163,type,
    sK1389: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2164,type,
    sK1390: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_2165,type,
    sK1391: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_2166,type,
    sK1392: rat > rat ).

tff(func_def_2167,type,
    sK1393: rat > rat ).

tff(func_def_2168,type,
    sK1394: rat > rat ).

tff(func_def_2169,type,
    sK1395: rat > rat ).

tff(func_def_2170,type,
    sK1396: ( rat * rat ) > rat ).

tff(func_def_2171,type,
    sK1397: rat > rat ).

tff(func_def_2172,type,
    sK1398: rat > rat ).

tff(func_def_2173,type,
    sK1399: fun_nat_rat > nat ).

tff(func_def_2174,type,
    sK1400: fun_nat_rat > nat ).

tff(func_def_2175,type,
    sK1401: fun_rat_rat > rat ).

tff(func_def_2176,type,
    sK1402: fun_rat_rat > rat ).

tff(func_def_2177,type,
    sK1403: fun_nat_rat > nat ).

tff(func_def_2178,type,
    sK1404: fun_nat_rat > nat ).

tff(func_def_2179,type,
    sK1405: fun_rat_rat > rat ).

tff(func_def_2180,type,
    sK1406: fun_rat_rat > rat ).

tff(func_def_2181,type,
    sK1407: fun_nat_rat > nat ).

tff(func_def_2182,type,
    sK1408: fun_nat_rat > nat ).

tff(func_def_2183,type,
    sK1409: fun_rat_rat > rat ).

tff(func_def_2184,type,
    sK1410: fun_rat_rat > rat ).

tff(func_def_2185,type,
    sK1411: fun_nat_rat > nat ).

tff(func_def_2186,type,
    sK1412: fun_nat_rat > nat ).

tff(func_def_2187,type,
    sK1413: fun_rat_rat > rat ).

tff(func_def_2188,type,
    sK1414: fun_rat_rat > rat ).

tff(func_def_2189,type,
    sK1415: fun_rat_fun_rat_o > rat ).

tff(func_def_2190,type,
    sK1416: fun_rat_fun_rat_o > rat ).

tff(func_def_2191,type,
    sK1417: fun_rat_fun_rat_o > rat ).

tff(func_def_2192,type,
    sK1418: fun_rat_fun_rat_o > rat ).

tff(func_def_2193,type,
    sK1419: fun_nat_rat > nat ).

tff(func_def_2194,type,
    sK1420: fun_nat_rat > nat ).

tff(func_def_2195,type,
    sK1421: fun_rat_rat > rat ).

tff(func_def_2196,type,
    sK1422: fun_rat_rat > rat ).

tff(func_def_2197,type,
    sK1423: fun_rat_rat > rat ).

tff(func_def_2198,type,
    sK1424: fun_rat_rat > rat ).

tff(func_def_2199,type,
    sK1425: fun_rat_rat > rat ).

tff(func_def_2200,type,
    sK1426: fun_rat_rat > rat ).

tff(func_def_2201,type,
    sK1427: fun_nat_rat > nat ).

tff(func_def_2202,type,
    sK1428: fun_nat_rat > nat ).

tff(func_def_2203,type,
    sK1429: fun_rat_rat > rat ).

tff(func_def_2204,type,
    sK1430: fun_rat_rat > rat ).

tff(func_def_2205,type,
    sK1431: ( rat * rat * rat ) > rat ).

tff(func_def_2206,type,
    sK1432: ( rat * rat * rat ) > rat ).

tff(func_def_2207,type,
    sK1433: ( rat * rat ) > rat ).

tff(func_def_2208,type,
    sK1434: ( rat * rat ) > rat ).

tff(func_def_2209,type,
    sK1435: fun_nat_rat > nat ).

tff(func_def_2210,type,
    sK1436: fun_nat_rat > nat ).

tff(func_def_2211,type,
    sK1437: fun_rat_rat > rat ).

tff(func_def_2212,type,
    sK1438: fun_rat_rat > rat ).

tff(func_def_2213,type,
    sK1439: fun_nat_rat > nat ).

tff(func_def_2214,type,
    sK1440: fun_nat_rat > nat ).

tff(func_def_2215,type,
    sK1441: fun_rat_rat > rat ).

tff(func_def_2216,type,
    sK1442: fun_rat_rat > rat ).

tff(func_def_2217,type,
    sK1443: fun_rat_rat > rat ).

tff(func_def_2218,type,
    sK1444: fun_rat_rat > rat ).

tff(func_def_2219,type,
    sK1445: fun_rat_rat > rat ).

tff(func_def_2220,type,
    sK1446: fun_rat_rat > rat ).

tff(func_def_2221,type,
    sK1447: fun_rat_fun_rat_o > rat ).

tff(func_def_2222,type,
    sK1448: fun_rat_fun_rat_o > rat ).

tff(func_def_2223,type,
    sK1449: fun_rat_fun_rat_o > rat ).

tff(func_def_2224,type,
    sK1450: fun_rat_fun_rat_o > rat ).

tff(func_def_2225,type,
    sK1451: fun_rat_fun_rat_o > rat ).

tff(func_def_2226,type,
    sK1452: ( rat * rat ) > rat ).

tff(func_def_2227,type,
    sK1453: rat > rat ).

tff(func_def_2228,type,
    sK1454: rat > rat ).

tff(func_def_2229,type,
    sK1455: ( rat * rat ) > rat ).

tff(func_def_2230,type,
    sK1456: fun_nat_rat > nat ).

tff(func_def_2231,type,
    sK1457: fun_nat_rat > nat ).

tff(func_def_2232,type,
    sK1458: ( fun_int_o * rat ) > int ).

tff(func_def_2233,type,
    sK1459: ( fun_int_o * rat ) > int ).

tff(func_def_2234,type,
    sK1460: rat > int ).

tff(func_def_2235,type,
    sK1461: rat > int ).

tff(func_def_2236,type,
    sK1462: rat > int ).

tff(func_def_2237,type,
    sK1463: rat > int ).

tff(func_def_2238,type,
    sK1464: rat > int ).

tff(func_def_2239,type,
    sK1465: rat > int ).

tff(func_def_2240,type,
    sK1466: rat > int ).

tff(func_def_2241,type,
    sK1467: ( rat * rat ) > rat ).

tff(func_def_2242,type,
    sK1468: fun_int_rat > int ).

tff(func_def_2243,type,
    sK1469: fun_int_rat > int ).

tff(func_def_2244,type,
    sK1470: fun_int_rat > int ).

tff(func_def_2245,type,
    sK1471: fun_int_rat > int ).

tff(func_def_2246,type,
    sK1472: fun_int_rat > int ).

tff(func_def_2247,type,
    sK1473: fun_int_rat > int ).

tff(func_def_2248,type,
    sK1474: fun_int_rat > int ).

tff(func_def_2249,type,
    sK1475: fun_int_rat > int ).

tff(func_def_2250,type,
    sK1476: code_integer > code_integer ).

tff(func_def_2251,type,
    sK1477: code_integer > code_integer ).

tff(func_def_2252,type,
    sK1478: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_2253,type,
    sK1479: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_2254,type,
    sK1480: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2255,type,
    sK1481: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_2256,type,
    sK1482: real > int ).

tff(func_def_2257,type,
    sK1483: real > int ).

tff(func_def_2258,type,
    sK1484: real > int ).

tff(func_def_2259,type,
    sK1485: real > int ).

tff(func_def_2260,type,
    sK1486: real > int ).

tff(func_def_2261,type,
    sK1487: real > int ).

tff(func_def_2262,type,
    sK1488: real > int ).

tff(func_def_2263,type,
    sK1489: fun_int_real > int ).

tff(func_def_2264,type,
    sK1490: fun_int_real > int ).

tff(func_def_2265,type,
    sK1491: fun_int_real > int ).

tff(func_def_2266,type,
    sK1492: fun_int_real > int ).

tff(func_def_2267,type,
    sK1493: fun_int_real > int ).

tff(func_def_2268,type,
    sK1494: fun_int_real > int ).

tff(func_def_2269,type,
    sK1495: fun_nat_o > int ).

tff(func_def_2270,type,
    sK1496: fun_nat_o > nat ).

tff(func_def_2271,type,
    sK1497: fun_nat_o > nat ).

tff(func_def_2272,type,
    sK1498: fun_nat_o > int ).

tff(func_def_2273,type,
    sK1499: ( nat * fun_nat_o ) > nat ).

tff(func_def_2274,type,
    sK1500: ( nat * fun_nat_o ) > nat ).

tff(func_def_2275,type,
    sK1501: fun_nat_o > nat ).

tff(func_def_2276,type,
    sK1502: ( fun_nat_o * nat ) > nat ).

tff(func_def_2277,type,
    sK1503: nat > nat ).

tff(func_def_2278,type,
    sK1504: nat > nat ).

tff(func_def_2279,type,
    sK1505: nat > nat ).

tff(func_def_2280,type,
    sK1506: nat > nat ).

tff(func_def_2281,type,
    sK1507: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2282,type,
    sK1508: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2283,type,
    sK1509: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2284,type,
    sK1510: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2285,type,
    sK1511: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2286,type,
    sK1512: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2287,type,
    sK1513: nat > nat ).

tff(func_def_2288,type,
    sK1514: nat > nat ).

tff(func_def_2289,type,
    sK1515: nat > nat ).

tff(func_def_2290,type,
    sK1516: nat > nat ).

tff(func_def_2291,type,
    sK1517: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2292,type,
    sK1518: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2293,type,
    sK1519: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2294,type,
    sK1520: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2295,type,
    sK1521: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2296,type,
    sK1522: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2297,type,
    sK1523: nat > nat ).

tff(func_def_2298,type,
    sK1524: nat > nat ).

tff(func_def_2299,type,
    sK1525: nat > nat ).

tff(func_def_2300,type,
    sK1526: nat > nat ).

tff(func_def_2301,type,
    sK1527: fun_nat_fun_nat_o > nat ).

tff(func_def_2302,type,
    sK1528: fun_nat_fun_nat_o > nat ).

tff(func_def_2303,type,
    sK1529: fun_nat_fun_nat_o > nat ).

tff(func_def_2304,type,
    sK1530: fun_nat_fun_nat_o > nat ).

tff(func_def_2305,type,
    sK1531: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2306,type,
    sK1532: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2307,type,
    sK1533: fun_nat_o > nat ).

tff(func_def_2308,type,
    sK1534: fun_nat_fun_nat_o > nat ).

tff(func_def_2309,type,
    sK1535: fun_nat_fun_nat_o > nat ).

tff(func_def_2310,type,
    sK1536: fun_nat_fun_nat_o > nat ).

tff(func_def_2311,type,
    sK1537: fun_nat_fun_nat_o > nat ).

tff(func_def_2312,type,
    sK1538: fun_nat_o > nat ).

tff(func_def_2313,type,
    sK1539: fun_nat_o > nat ).

tff(func_def_2314,type,
    sK1540: fun_nat_nat > nat ).

tff(func_def_2315,type,
    sK1541: fun_nat_nat > nat ).

tff(func_def_2316,type,
    sK1542: ( nat * nat ) > nat ).

tff(func_def_2317,type,
    sK1543: ( nat * nat ) > nat ).

tff(func_def_2318,type,
    sK1544: ( nat * fun_nat_o ) > nat ).

tff(func_def_2319,type,
    sK1545: ( nat * fun_nat_o ) > nat ).

tff(func_def_2320,type,
    sK1546: ( nat * fun_nat_o ) > nat ).

tff(func_def_2321,type,
    sK1547: ( nat * fun_nat_o ) > nat ).

tff(func_def_2322,type,
    sK1548: ( nat * nat ) > nat ).

tff(func_def_2323,type,
    sK1549: fun_nat_fun_nat_o > nat ).

tff(func_def_2324,type,
    sK1550: fun_nat_fun_nat_o > nat ).

tff(func_def_2325,type,
    sK1551: fun_nat_fun_nat_o > nat ).

tff(func_def_2326,type,
    sK1552: fun_nat_fun_nat_o > nat ).

tff(func_def_2327,type,
    sK1553: ( nat * fun_nat_o ) > nat ).

tff(func_def_2328,type,
    sK1554: ( nat * fun_nat_o ) > nat ).

tff(func_def_2329,type,
    sK1555: ( fun_nat_o * nat ) > nat ).

tff(func_def_2330,type,
    sK1556: ( fun_nat_o * nat ) > nat ).

tff(func_def_2331,type,
    sK1557: ( nat * fun_nat_o ) > nat ).

tff(func_def_2332,type,
    sK1558: ( nat * fun_nat_o ) > nat ).

tff(func_def_2333,type,
    sK1559: nat > nat ).

tff(func_def_2334,type,
    sK1560: ( nat * fun_nat_o ) > nat ).

tff(func_def_2335,type,
    sK1561: ( nat * fun_nat_o ) > nat ).

tff(func_def_2336,type,
    sK1562: nat > nat ).

tff(func_def_2337,type,
    sK1563: ( nat * nat ) > nat ).

tff(func_def_2338,type,
    sK1564: fun_nat_nat > nat ).

tff(func_def_2339,type,
    sK1565: fun_nat_nat > nat ).

tff(func_def_2340,type,
    sK1566: fun_nat_o > nat ).

tff(func_def_2341,type,
    sK1567: fun_nat_o > nat ).

tff(func_def_2342,type,
    sK1568: fun_nat_o > nat ).

tff(func_def_2343,type,
    sK1569: fun_nat_fun_nat_o > nat ).

tff(func_def_2344,type,
    sK1570: fun_nat_fun_nat_o > nat ).

tff(func_def_2345,type,
    sK1571: fun_nat_fun_nat_o > nat ).

tff(func_def_2346,type,
    sK1572: fun_nat_fun_nat_o > nat ).

tff(func_def_2347,type,
    sK1573: fun_nat_fun_nat_o > nat ).

tff(func_def_2348,type,
    sK1574: fun_nat_o > nat ).

tff(func_def_2349,type,
    sK1575: ( fun_nat_o * nat ) > nat ).

tff(func_def_2350,type,
    sK1576: fun_nat_o > nat ).

tff(func_def_2351,type,
    sK1577: fun_nat_o > nat ).

tff(func_def_2352,type,
    sK1578: nat > nat ).

tff(func_def_2353,type,
    sK1579: nat > nat ).

tff(func_def_2354,type,
    sK1580: fun_nat_o > nat ).

tff(func_def_2355,type,
    sK1581: ( nat * fun_nat_o ) > nat ).

tff(func_def_2356,type,
    sK1582: fun_nat_fun_nat_o > nat ).

tff(func_def_2357,type,
    sK1583: fun_nat_fun_nat_o > nat ).

tff(func_def_2358,type,
    sK1584: fun_nat_fun_nat_o > nat ).

tff(func_def_2359,type,
    sK1585: fun_nat_fun_nat_o > nat ).

tff(func_def_2360,type,
    sK1586: fun_nat_fun_nat_o > nat ).

tff(func_def_2361,type,
    sK1587: fun_nat_nat > nat ).

tff(func_def_2362,type,
    sK1588: fun_nat_nat > nat ).

tff(func_def_2363,type,
    sK1589: fun_nat_o > nat ).

tff(func_def_2364,type,
    sK1590: ( fun_nat_o * nat ) > nat ).

tff(func_def_2365,type,
    sK1591: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2366,type,
    sK1592: fun_nat_nat > nat ).

tff(func_def_2367,type,
    sK1593: fun_nat_nat > nat ).

tff(func_def_2368,type,
    sK1594: ( nat * nat ) > nat ).

tff(func_def_2369,type,
    sK1595: ( nat * nat ) > nat ).

tff(func_def_2370,type,
    sK1596: ( nat * nat ) > nat ).

tff(func_def_2371,type,
    sK1597: ( nat * nat ) > nat ).

tff(func_def_2372,type,
    sK1598: ( nat * nat ) > nat ).

tff(func_def_2373,type,
    sK1599: ( nat * nat ) > nat ).

tff(func_def_2374,type,
    sK1600: ( real * real * real ) > real ).

tff(func_def_2375,type,
    sK1601: ( real * real * real ) > real ).

tff(func_def_2376,type,
    sK1602: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2377,type,
    sK1603: ( nat * fun_nat_int ) > nat ).

tff(func_def_2378,type,
    sK1604: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2379,type,
    sK1605: ( nat * fun_nat_int ) > nat ).

tff(func_def_2380,type,
    sK1606: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_2381,type,
    sK1607: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2382,type,
    sK1608: nat > nat ).

tff(func_def_2383,type,
    sK1609: ( nat * nat ) > nat ).

tff(func_def_2384,type,
    sK1610: ( nat * nat ) > nat ).

tff(func_def_2385,type,
    sK1611: fun_nat_o > nat ).

tff(func_def_2386,type,
    sK1612: fun_nat_o > nat ).

tff(func_def_2387,type,
    sK1613: ( nat * nat ) > nat ).

tff(func_def_2388,type,
    sK1614: ( nat * nat ) > nat ).

tff(func_def_2389,type,
    sK1615: ( nat * nat ) > nat ).

tff(func_def_2390,type,
    sK1616: ( fun_nat_o * nat ) > nat ).

tff(func_def_2391,type,
    sK1617: ( fun_nat_o * nat ) > nat ).

tff(func_def_2392,type,
    sK1618: ( nat * nat * nat ) > nat ).

tff(func_def_2393,type,
    sK1619: ( nat * nat * nat ) > nat ).

tff(func_def_2394,type,
    sK1620: ( nat * nat ) > nat ).

tff(func_def_2395,type,
    sK1621: ( nat * nat ) > nat ).

tff(func_def_2396,type,
    sK1622: ( nat * nat ) > nat ).

tff(func_def_2397,type,
    sK1623: ( nat * nat ) > nat ).

tff(func_def_2398,type,
    sK1624: ( nat * nat ) > nat ).

tff(func_def_2399,type,
    sK1625: ( nat * nat ) > nat ).

tff(func_def_2400,type,
    sK1626: ( nat * nat ) > nat ).

tff(func_def_2401,type,
    sK1627: fun_nat_fun_nat_o > nat ).

tff(func_def_2402,type,
    sK1628: fun_nat_fun_nat_o > nat ).

tff(func_def_2403,type,
    sK1629: fun_nat_fun_nat_o > nat ).

tff(func_def_2404,type,
    sK1630: fun_nat_fun_nat_o > nat ).

tff(func_def_2405,type,
    sK1631: fun_nat_fun_nat_o > nat ).

tff(func_def_2406,type,
    sK1632: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2407,type,
    sK1633: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2408,type,
    sK1634: ( nat * nat * nat ) > nat ).

tff(func_def_2409,type,
    sK1635: ( nat * nat * nat ) > nat ).

tff(func_def_2410,type,
    sK1636: ( nat * nat * nat ) > nat ).

tff(func_def_2411,type,
    sK1637: ( nat * nat * nat ) > nat ).

tff(func_def_2412,type,
    sK1638: ( nat * nat * nat ) > nat ).

tff(func_def_2413,type,
    sK1639: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2414,type,
    sK1640: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2415,type,
    sK1641: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2416,type,
    sK1642: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2417,type,
    sK1643: ( nat * nat ) > nat ).

tff(func_def_2418,type,
    sK1644: ( nat * nat ) > nat ).

tff(func_def_2419,type,
    sK1645: ( nat * nat ) > nat ).

tff(func_def_2420,type,
    sK1646: ( nat * nat ) > nat ).

tff(func_def_2421,type,
    sK1647: ( nat * nat ) > nat ).

tff(func_def_2422,type,
    sK1648: nat > nat ).

tff(func_def_2423,type,
    sK1649: nat > nat ).

tff(func_def_2424,type,
    sK1650: fun_nat_o > nat ).

tff(func_def_2425,type,
    sK1651: fun_nat_o > nat ).

tff(func_def_2426,type,
    sK1652: fun_nat_o > nat ).

tff(func_def_2427,type,
    sK1653: nat > nat ).

tff(func_def_2428,type,
    sK1654: nat > nat ).

tff(func_def_2429,type,
    sK1655: nat > nat ).

tff(func_def_2430,type,
    sK1656: nat > nat ).

tff(func_def_2431,type,
    sK1657: fun_int_fun_int_o > int ).

tff(func_def_2432,type,
    sK1658: fun_real_fun_real_o > real ).

tff(func_def_2433,type,
    sK1659: nat > nat ).

tff(func_def_2434,type,
    sK1660: num > num ).

tff(func_def_2435,type,
    sK1661: num > num ).

tff(func_def_2436,type,
    sK1662: ( nat * nat ) > nat ).

tff(func_def_2437,type,
    sK1663: fun_nat_fun_nat_o > nat ).

tff(func_def_2438,type,
    sK1664: fun_nat_fun_nat_o > nat ).

tff(func_def_2439,type,
    sK1665: fun_nat_fun_nat_o > nat ).

tff(func_def_2440,type,
    sK1666: ( fun_nat_o * nat ) > nat ).

tff(func_def_2441,type,
    sK1667: rat > nat ).

tff(func_def_2442,type,
    sK1668: rat > nat ).

tff(func_def_2443,type,
    sK1669: ( rat * rat ) > nat ).

tff(func_def_2444,type,
    sK1670: rat > nat ).

tff(func_def_2445,type,
    sK1671: rat > nat ).

tff(func_def_2446,type,
    sK1672: rat > nat ).

tff(func_def_2447,type,
    sK1673: rat > rat ).

tff(func_def_2448,type,
    sK1674: rat > rat ).

tff(func_def_2449,type,
    sK1675: ( real * real ) > real ).

tff(func_def_2450,type,
    sK1676: ( real * real ) > real ).

tff(func_def_2451,type,
    sK1677: ( real * real ) > real ).

tff(func_def_2452,type,
    sK1678: real > real ).

tff(func_def_2453,type,
    sK1679: real ).

tff(func_def_2454,type,
    sK1680: ( real * real ) > real ).

tff(func_def_2455,type,
    sK1681: real > real ).

tff(func_def_2456,type,
    sK1682: ( real * real ) > real ).

tff(func_def_2457,type,
    sK1683: ( real * real ) > real ).

tff(func_def_2458,type,
    sK1684: real > real ).

tff(func_def_2459,type,
    sK1685: ( fun_real_real * real * real ) > real ).

tff(func_def_2460,type,
    sK1686: ( fun_real_real * real * real ) > real ).

tff(func_def_2461,type,
    sK1687: ( fun_real_real * real * real ) > real ).

tff(func_def_2462,type,
    sK1688: real > real ).

tff(func_def_2463,type,
    sK1689: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2464,type,
    sK1690: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_2465,type,
    sK1691: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_2466,type,
    sK1692: ( list_VEBT_VEBT * set_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2467,type,
    sK1693: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2468,type,
    sK1694: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2469,type,
    sK1695: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2470,type,
    sK1696: nat > list_VEBT_VEBT ).

tff(func_def_2471,type,
    sK1697: ( real * fun_real_real ) > real ).

tff(func_def_2472,type,
    sK1698: ( fun_real_real * real ) > real ).

tff(func_def_2473,type,
    sK1699: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_2474,type,
    sK1700: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2475,type,
    sK1701: ( real * real * fun_real_real ) > real ).

tff(func_def_2476,type,
    sK1702: ( real * real * fun_real_real ) > real ).

tff(func_def_2477,type,
    sK1703: ( real * real * fun_real_real ) > real ).

tff(func_def_2478,type,
    sK1704: ( real * real * fun_real_real ) > real ).

tff(func_def_2479,type,
    sK1705: ( fun_real_real * real ) > real ).

tff(func_def_2480,type,
    sK1706: ( fun_real_real * real ) > real ).

tff(func_def_2481,type,
    sK1707: fun_real_real > real ).

tff(func_def_2482,type,
    sK1708: ( fun_real_real * real ) > real ).

tff(func_def_2483,type,
    sK1709: ( fun_real_real * real ) > real ).

tff(func_def_2484,type,
    sK1710: ( fun_real_real * real ) > real ).

tff(func_def_2485,type,
    sK1711: ( fun_real_real * real ) > real ).

tff(func_def_2486,type,
    sK1712: ( fun_real_real * real ) > real ).

tff(func_def_2487,type,
    sK1713: ( fun_real_real * real ) > real ).

tff(func_def_2488,type,
    sK1714: ( fun_real_o * nat * real ) > real ).

tff(func_def_2489,type,
    sK1715: real > real ).

tff(func_def_2490,type,
    sK1716: real > real ).

tff(func_def_2491,type,
    sK1717: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2492,type,
    sK1718: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2493,type,
    sK1719: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2494,type,
    sK1720: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2495,type,
    sK1721: vEBT_VEBT > $o ).

tff(func_def_2496,type,
    sK1722: vEBT_VEBT > $o ).

tff(func_def_2497,type,
    sK1723: ( nat * set_nat ) > set_nat ).

tff(func_def_2498,type,
    sK1724: ( nat * set_nat ) > set_nat ).

tff(func_def_2499,type,
    sK1725: ( nat * int ) > int ).

tff(func_def_2500,type,
    sK1726: fun_rat_o > int ).

tff(func_def_2501,type,
    sK1727: rat > int ).

tff(func_def_2502,type,
    sK1728: fun_rat_int > rat ).

tff(func_def_2503,type,
    sK1729: fun_rat_int > rat ).

tff(func_def_2504,type,
    sK1730: fun_rat_int > rat ).

tff(func_def_2505,type,
    sK1731: fun_rat_int > rat ).

tff(func_def_2506,type,
    sK1732: fun_rat_int > rat ).

tff(func_def_2507,type,
    sK1733: fun_rat_int > rat ).

tff(func_def_2508,type,
    sK1734: fun_rat_int > rat ).

tff(func_def_2509,type,
    sK1735: fun_rat_int > rat ).

tff(func_def_2510,type,
    sK1736: fun_rat_int > rat ).

tff(func_def_2511,type,
    sK1737: fun_rat_int > rat ).

tff(func_def_2512,type,
    sK1738: fun_rat_int > rat ).

tff(func_def_2513,type,
    sK1739: fun_rat_int > rat ).

tff(func_def_2514,type,
    sK1740: fun_rat_int > rat ).

tff(func_def_2515,type,
    sK1741: fun_rat_int > rat ).

tff(func_def_2516,type,
    sK1742: fun_rat_int > rat ).

tff(func_def_2517,type,
    sK1743: fun_rat_int > rat ).

tff(func_def_2518,type,
    sK1744: fun_rat_fun_rat_o > rat ).

tff(func_def_2519,type,
    sK1745: rat > rat ).

tff(func_def_2520,type,
    sK1746: fun_num_rat > num ).

tff(func_def_2521,type,
    sK1747: fun_num_rat > num ).

tff(func_def_2522,type,
    sK1748: fun_num_rat > num ).

tff(func_def_2523,type,
    sK1749: fun_num_rat > num ).

tff(func_def_2524,type,
    sK1750: fun_num_rat > num ).

tff(func_def_2525,type,
    sK1751: fun_num_rat > num ).

tff(func_def_2526,type,
    sK1752: fun_num_rat > num ).

tff(func_def_2527,type,
    sK1753: fun_num_rat > num ).

tff(func_def_2528,type,
    sK1754: fun_num_rat > num ).

tff(func_def_2529,type,
    sK1755: fun_num_rat > num ).

tff(func_def_2530,type,
    sK1756: fun_num_rat > num ).

tff(func_def_2531,type,
    sK1757: fun_num_rat > num ).

tff(func_def_2532,type,
    sK1758: fun_num_rat > num ).

tff(func_def_2533,type,
    sK1759: fun_num_rat > num ).

tff(func_def_2534,type,
    sK1760: fun_num_rat > num ).

tff(func_def_2535,type,
    sK1761: fun_num_rat > num ).

tff(func_def_2536,type,
    sK1762: fun_num_rat > num ).

tff(func_def_2537,type,
    sK1763: fun_num_rat > num ).

tff(func_def_2538,type,
    sK1764: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2539,type,
    sK1765: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2540,type,
    sK1766: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2541,type,
    sK1767: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2542,type,
    sK1768: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2543,type,
    sK1769: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2544,type,
    sK1770: num > num ).

tff(func_def_2545,type,
    sK1771: num > num ).

tff(func_def_2546,type,
    sK1772: num > num ).

tff(func_def_2547,type,
    sK1773: num > num ).

tff(func_def_2548,type,
    sK1774: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2549,type,
    sK1775: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_2550,type,
    sK1776: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2551,type,
    sK1777: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2552,type,
    sK1778: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_2553,type,
    sK1779: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2554,type,
    sK1780: num > num ).

tff(func_def_2555,type,
    sK1781: num > num ).

tff(func_def_2556,type,
    sK1782: num > num ).

tff(func_def_2557,type,
    sK1783: num > num ).

tff(func_def_2558,type,
    sK1784: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2559,type,
    sK1785: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_2560,type,
    sK1786: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2561,type,
    sK1787: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2562,type,
    sK1788: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_2563,type,
    sK1789: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_2564,type,
    sK1790: num > num ).

tff(func_def_2565,type,
    sK1791: num > num ).

tff(func_def_2566,type,
    sK1792: num > num ).

tff(func_def_2567,type,
    sK1793: num > num ).

tff(func_def_2568,type,
    sK1794: fun_num_int > num ).

tff(func_def_2569,type,
    sK1795: fun_num_int > num ).

tff(func_def_2570,type,
    sK1796: fun_num_nat > num ).

tff(func_def_2571,type,
    sK1797: fun_num_nat > num ).

tff(func_def_2572,type,
    sK1798: fun_num_num > num ).

tff(func_def_2573,type,
    sK1799: fun_num_num > num ).

tff(func_def_2574,type,
    sK1800: fun_num_int > num ).

tff(func_def_2575,type,
    sK1801: fun_num_int > num ).

tff(func_def_2576,type,
    sK1802: fun_num_nat > num ).

tff(func_def_2577,type,
    sK1803: fun_num_nat > num ).

tff(func_def_2578,type,
    sK1804: fun_num_num > num ).

tff(func_def_2579,type,
    sK1805: fun_num_num > num ).

tff(func_def_2580,type,
    sK1806: fun_num_int > num ).

tff(func_def_2581,type,
    sK1807: fun_num_int > num ).

tff(func_def_2582,type,
    sK1808: fun_num_nat > num ).

tff(func_def_2583,type,
    sK1809: fun_num_nat > num ).

tff(func_def_2584,type,
    sK1810: fun_num_num > num ).

tff(func_def_2585,type,
    sK1811: fun_num_num > num ).

tff(func_def_2586,type,
    sK1812: fun_num_nat > num ).

tff(func_def_2587,type,
    sK1813: fun_num_nat > num ).

tff(func_def_2588,type,
    sK1814: fun_num_num > num ).

tff(func_def_2589,type,
    sK1815: fun_num_num > num ).

tff(func_def_2590,type,
    sK1816: fun_num_fun_num_o > num ).

tff(func_def_2591,type,
    sK1817: fun_num_fun_num_o > num ).

tff(func_def_2592,type,
    sK1818: fun_num_fun_num_o > num ).

tff(func_def_2593,type,
    sK1819: fun_num_fun_num_o > num ).

tff(func_def_2594,type,
    sK1820: fun_num_real > num ).

tff(func_def_2595,type,
    sK1821: fun_num_real > num ).

tff(func_def_2596,type,
    sK1822: fun_num_int > num ).

tff(func_def_2597,type,
    sK1823: fun_num_int > num ).

tff(func_def_2598,type,
    sK1824: fun_num_nat > num ).

tff(func_def_2599,type,
    sK1825: fun_num_nat > num ).

tff(func_def_2600,type,
    sK1826: fun_num_num > num ).

tff(func_def_2601,type,
    sK1827: fun_num_num > num ).

tff(func_def_2602,type,
    sK1828: fun_num_real > num ).

tff(func_def_2603,type,
    sK1829: fun_num_real > num ).

tff(func_def_2604,type,
    sK1830: fun_num_int > num ).

tff(func_def_2605,type,
    sK1831: fun_num_int > num ).

tff(func_def_2606,type,
    sK1832: fun_num_nat > num ).

tff(func_def_2607,type,
    sK1833: fun_num_nat > num ).

tff(func_def_2608,type,
    sK1834: fun_num_num > num ).

tff(func_def_2609,type,
    sK1835: fun_num_num > num ).

tff(func_def_2610,type,
    sK1836: fun_num_real > num ).

tff(func_def_2611,type,
    sK1837: fun_num_real > num ).

tff(func_def_2612,type,
    sK1838: fun_num_real > num ).

tff(func_def_2613,type,
    sK1839: fun_num_real > num ).

tff(func_def_2614,type,
    sK1840: fun_num_real > num ).

tff(func_def_2615,type,
    sK1841: fun_num_real > num ).

tff(func_def_2616,type,
    sK1842: fun_num_fun_num_o > num ).

tff(func_def_2617,type,
    sK1843: fun_num_fun_num_o > num ).

tff(func_def_2618,type,
    sK1844: fun_num_fun_num_o > num ).

tff(func_def_2619,type,
    sK1845: fun_num_fun_num_o > num ).

tff(func_def_2620,type,
    sK1846: fun_num_fun_num_o > num ).

tff(func_def_2621,type,
    sK1847: ( complex * nat ) > nat ).

tff(func_def_2622,type,
    sK1848: int > nat ).

tff(func_def_2623,type,
    sK1849: int > int ).

tff(func_def_2624,type,
    sK1850: int > nat ).

tff(func_def_2625,type,
    sK1851: int > nat ).

tff(func_def_2626,type,
    sK1852: ( int * int ) > nat ).

tff(func_def_2627,type,
    sK1853: fun_complex_o > int ).

tff(func_def_2628,type,
    sK1854: complex > int ).

tff(func_def_2629,type,
    sK1855: fun_num_o > num ).

tff(func_def_2630,type,
    sK1856: fun_rat_o > int ).

tff(func_def_2631,type,
    sK1857: fun_rat_o > int ).

tff(func_def_2632,type,
    sK1858: real > real ).

tff(func_def_2633,type,
    sK1859: real > real ).

tff(func_def_2634,type,
    sK1860: real > real ).

tff(func_def_2635,type,
    sK1861: real > real ).

tff(func_def_2636,type,
    sK1862: real > real ).

tff(func_def_2637,type,
    sK1863: ( real * fun_real_real ) > real ).

tff(func_def_2638,type,
    sK1864: real > int ).

tff(func_def_2639,type,
    sK1865: set_nat > nat ).

tff(func_def_2640,type,
    sK1866: set_nat > nat ).

tff(func_def_2641,type,
    sK1867: set_nat > nat ).

tff(func_def_2642,type,
    sK1868: set_nat > nat ).

tff(func_def_2643,type,
    sK1869: set_nat > nat ).

tff(func_def_2644,type,
    sK1870: set_nat > nat ).

tff(func_def_2645,type,
    sK1871: ( set_nat * nat ) > nat ).

tff(func_def_2646,type,
    sK1872: set_nat > nat ).

tff(func_def_2647,type,
    sK1873: ( set_nat * nat ) > nat ).

tff(func_def_2648,type,
    sK1874: ( nat * set_nat ) > nat ).

tff(func_def_2649,type,
    sK1875: set_nat > nat ).

tff(func_def_2650,type,
    sK1876: ( set_nat * nat ) > nat ).

tff(func_def_2651,type,
    sK1877: ( set_nat * nat ) > nat ).

tff(func_def_2652,type,
    sK1878: set_nat > nat ).

tff(func_def_2653,type,
    sK1879: ( set_nat * nat ) > nat ).

tff(func_def_2654,type,
    sK1880: set_nat > nat ).

tff(func_def_2655,type,
    sK1881: fun_nat_o > nat ).

tff(func_def_2656,type,
    sK1882: fun_nat_o > nat ).

tff(func_def_2657,type,
    sK1883: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2658,type,
    sK1884: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2659,type,
    sK1885: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2660,type,
    sK1886: ( nat * fun_nat_o ) > nat ).

tff(func_def_2661,type,
    sK1887: ( nat * fun_nat_o ) > nat ).

tff(func_def_2662,type,
    sK1888: ( nat * fun_nat_o ) > nat ).

tff(func_def_2663,type,
    sK1889: ( nat * fun_nat_o ) > nat ).

tff(func_def_2664,type,
    sK1890: ( set_nat * fun_nat_nat * set_nat ) > nat ).

tff(func_def_2665,type,
    sK1891: ( set_nat * fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_2666,type,
    sK1892: ( fun_nat_nat * set_nat * set_nat ) > nat ).

tff(func_def_2667,type,
    sK1893: ( set_nat * fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_2668,type,
    sK1894: ( nat * fun_nat_nat * set_nat ) > nat ).

tff(func_def_2669,type,
    sK1895: ( fun_nat_nat * set_nat * fun_nat_o ) > nat ).

tff(func_def_2670,type,
    sK1896: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2671,type,
    sK1897: ( fun_nat_nat * set_nat * fun_nat_o ) > nat ).

tff(func_def_2672,type,
    sK1898: ( set_nat * set_nat ) > nat ).

tff(func_def_2673,type,
    sK1899: ( set_nat * set_nat ) > nat ).

tff(func_def_2674,type,
    sK1900: ( set_nat * set_nat ) > nat ).

tff(pred_def_1,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_2,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_3,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_4,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_5,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_6,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_7,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_8,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_9,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_10,type,
    filterlim_int_real: ( fun_int_real * filter_real * filter_int ) > $o ).

tff(pred_def_11,type,
    filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).

tff(pred_def_12,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_13,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_14,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_15,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_16,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_17,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_18,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_19,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_20,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_21,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_22,type,
    lattic1921953407002678535_Max_o: set_o > $o ).

tff(pred_def_23,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_24,type,
    ord_less_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_25,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_26,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_27,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_28,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_29,type,
    ord_le3480810397992357184T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_30,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_31,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_32,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_33,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_34,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_35,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_36,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_37,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_38,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_39,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_40,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_41,type,
    order_mono_real_real: fun_real_real > $o ).

tff(pred_def_42,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_43,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_44,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_45,type,
    is_singleton_o: set_o > $o ).

tff(pred_def_46,type,
    is_singleton_int: set_int > $o ).

tff(pred_def_47,type,
    is_singleton_real: set_real > $o ).

tff(pred_def_48,type,
    is_sin24926331636114728T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_49,type,
    the_elem_o: set_o > $o ).

tff(pred_def_50,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_51,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_52,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_53,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_54,type,
    accp_list_nat: ( fun_li1025265955262268170_nat_o * list_nat ) > $o ).

tff(pred_def_55,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_56,type,
    accp_P4275260045618599050at_nat: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_57,type,
    accp_P3113834385874906142um_num: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > $o ).

tff(pred_def_58,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_59,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_60,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_61,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_62,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_63,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_64,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_65,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_66,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_67,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_68,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_69,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_70,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_71,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_72,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_73,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_74,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_75,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_76,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_77,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_78,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_79,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_80,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_81,type,
    member_option_num: ( option_num * set_option_num ) > $o ).

tff(pred_def_82,type,
    member3954567711264315760at_nat: ( option4927543243414619207at_nat * set_op4508134149509766951at_nat ) > $o ).

tff(pred_def_83,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_84,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_85,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_86,type,
    member_set_o: ( set_o * set_set_o ) > $o ).

tff(pred_def_87,type,
    member_set_complex: ( set_complex * set_set_complex ) > $o ).

tff(pred_def_88,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_89,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_90,type,
    member_set_real: ( set_real * set_set_real ) > $o ).

tff(pred_def_91,type,
    member_set_set_nat: ( set_set_nat * set_set_set_nat ) > $o ).

tff(pred_def_92,type,
    member_set_VEBT_VEBT: ( set_VEBT_VEBT * set_set_VEBT_VEBT ) > $o ).

tff(pred_def_93,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_94,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_95,type,
    iG70: ( vEBT_VEBT * vEBT_VEBT * set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_96,type,
    iG75: ( $o * $o * set_o * set_o ) > $o ).

tff(pred_def_97,type,
    iG80: ( complex * complex * set_complex * set_complex ) > $o ).

tff(pred_def_98,type,
    iG81: ( real * real * set_real * set_real ) > $o ).

tff(pred_def_99,type,
    iG82: ( set_nat * set_nat * set_set_nat * set_set_nat ) > $o ).

tff(pred_def_100,type,
    iG83: ( nat * nat * set_nat * set_nat ) > $o ).

tff(pred_def_101,type,
    iG84: ( int * int * set_int * set_int ) > $o ).

tff(pred_def_102,type,
    iG128: ( num * complex * complex ) > $o ).

tff(pred_def_103,type,
    iG129: ( num * real * real ) > $o ).

tff(pred_def_104,type,
    iG130: ( num * rat * rat ) > $o ).

tff(pred_def_105,type,
    iG131: ( num * complex * complex ) > $o ).

tff(pred_def_106,type,
    iG132: ( num * real * real ) > $o ).

tff(pred_def_107,type,
    iG133: ( num * rat * rat ) > $o ).

tff(pred_def_108,type,
    iG143: ( complex * complex * complex ) > $o ).

tff(pred_def_109,type,
    iG144: ( real * real * real ) > $o ).

tff(pred_def_110,type,
    iG145: ( rat * rat * rat ) > $o ).

tff(pred_def_111,type,
    iG146: ( complex * complex * complex ) > $o ).

tff(pred_def_112,type,
    iG147: ( real * real * real ) > $o ).

tff(pred_def_113,type,
    iG148: ( rat * rat * rat ) > $o ).

tff(pred_def_114,type,
    iG149: ( real * real * real ) > $o ).

tff(pred_def_115,type,
    iG150: ( real * real * real ) > $o ).

tff(pred_def_116,type,
    iG151: ( rat * rat * rat ) > $o ).

tff(pred_def_117,type,
    iG152: ( rat * rat * rat ) > $o ).

tff(pred_def_118,type,
    iG153: ( real * real * real ) > $o ).

tff(pred_def_119,type,
    iG154: ( real * real * real ) > $o ).

tff(pred_def_120,type,
    iG155: ( rat * rat * rat ) > $o ).

tff(pred_def_121,type,
    iG156: ( rat * rat * rat ) > $o ).

tff(pred_def_122,type,
    iG157: ( complex * num * complex ) > $o ).

tff(pred_def_123,type,
    iG158: ( real * num * real ) > $o ).

tff(pred_def_124,type,
    iG159: ( rat * num * rat ) > $o ).

tff(pred_def_125,type,
    iG160: ( complex * num * complex ) > $o ).

tff(pred_def_126,type,
    iG161: ( real * num * real ) > $o ).

tff(pred_def_127,type,
    iG162: ( rat * num * rat ) > $o ).

tff(pred_def_128,type,
    iG171: ( real * real * real ) > $o ).

tff(pred_def_129,type,
    iG172: ( real * real * real ) > $o ).

tff(pred_def_130,type,
    iG173: ( rat * rat * rat ) > $o ).

tff(pred_def_131,type,
    iG174: ( rat * rat * rat ) > $o ).

tff(pred_def_132,type,
    iG175: ( real * real * real ) > $o ).

tff(pred_def_133,type,
    iG176: ( real * real * real ) > $o ).

tff(pred_def_134,type,
    iG177: ( rat * rat * rat ) > $o ).

tff(pred_def_135,type,
    iG178: ( rat * rat * rat ) > $o ).

tff(pred_def_136,type,
    iG179: ( real * num * real ) > $o ).

tff(pred_def_137,type,
    iG180: ( real * num * real ) > $o ).

tff(pred_def_138,type,
    iG181: ( rat * num * rat ) > $o ).

tff(pred_def_139,type,
    iG182: ( rat * num * rat ) > $o ).

tff(pred_def_140,type,
    iG183: ( real * num * real ) > $o ).

tff(pred_def_141,type,
    iG184: ( real * num * real ) > $o ).

tff(pred_def_142,type,
    iG185: ( rat * num * rat ) > $o ).

tff(pred_def_143,type,
    iG186: ( rat * num * rat ) > $o ).

tff(pred_def_144,type,
    iG189: ( real * num * real ) > $o ).

tff(pred_def_145,type,
    iG190: ( real * num * real ) > $o ).

tff(pred_def_146,type,
    iG191: ( rat * num * rat ) > $o ).

tff(pred_def_147,type,
    iG192: ( rat * num * rat ) > $o ).

tff(pred_def_148,type,
    iG193: ( real * num * real ) > $o ).

tff(pred_def_149,type,
    iG194: ( real * num * real ) > $o ).

tff(pred_def_150,type,
    iG195: ( rat * num * rat ) > $o ).

tff(pred_def_151,type,
    iG196: ( rat * num * rat ) > $o ).

tff(pred_def_152,type,
    iG236: ( num * real * real ) > $o ).

tff(pred_def_153,type,
    iG237: ( num * complex * complex ) > $o ).

tff(pred_def_154,type,
    iG238: ( num * rat * rat ) > $o ).

tff(pred_def_155,type,
    iG239: ( num * real * real ) > $o ).

tff(pred_def_156,type,
    iG240: ( num * complex * complex ) > $o ).

tff(pred_def_157,type,
    iG241: ( num * rat * rat ) > $o ).

tff(pred_def_158,type,
    iG267: ( real * real * real ) > $o ).

tff(pred_def_159,type,
    iG268: ( complex * complex * complex ) > $o ).

tff(pred_def_160,type,
    iG269: ( rat * rat * rat ) > $o ).

tff(pred_def_161,type,
    iG270: ( real * real * real ) > $o ).

tff(pred_def_162,type,
    iG271: ( complex * complex * complex ) > $o ).

tff(pred_def_163,type,
    iG272: ( rat * rat * rat ) > $o ).

tff(pred_def_164,type,
    iG275: ( nat * $o ) > $o ).

tff(pred_def_165,type,
    iG276: ( nat * $o * $o ) > $o ).

tff(pred_def_166,type,
    iG279: ( real * real * real ) > $o ).

tff(pred_def_167,type,
    iG280: ( real * real * real ) > $o ).

tff(pred_def_168,type,
    iG281: ( rat * rat * rat ) > $o ).

tff(pred_def_169,type,
    iG282: ( rat * rat * rat ) > $o ).

tff(pred_def_170,type,
    iG283: ( real * real * real ) > $o ).

tff(pred_def_171,type,
    iG284: ( real * real * real ) > $o ).

tff(pred_def_172,type,
    iG285: ( rat * rat * rat ) > $o ).

tff(pred_def_173,type,
    iG286: ( rat * rat * rat ) > $o ).

tff(pred_def_174,type,
    iG287: ( real * num * real ) > $o ).

tff(pred_def_175,type,
    iG288: ( complex * num * complex ) > $o ).

tff(pred_def_176,type,
    iG289: ( rat * num * rat ) > $o ).

tff(pred_def_177,type,
    iG290: ( real * num * real ) > $o ).

tff(pred_def_178,type,
    iG291: ( complex * num * complex ) > $o ).

tff(pred_def_179,type,
    iG292: ( rat * num * rat ) > $o ).

tff(pred_def_180,type,
    iG302: ( real * real * real ) > $o ).

tff(pred_def_181,type,
    iG303: ( real * real * real ) > $o ).

tff(pred_def_182,type,
    iG304: ( rat * rat * rat ) > $o ).

tff(pred_def_183,type,
    iG305: ( rat * rat * rat ) > $o ).

tff(pred_def_184,type,
    iG306: ( real * real * real ) > $o ).

tff(pred_def_185,type,
    iG307: ( real * real * real ) > $o ).

tff(pred_def_186,type,
    iG308: ( rat * rat * rat ) > $o ).

tff(pred_def_187,type,
    iG309: ( rat * rat * rat ) > $o ).

tff(pred_def_188,type,
    iG310: ( real * num * real ) > $o ).

tff(pred_def_189,type,
    iG311: ( real * num * real ) > $o ).

tff(pred_def_190,type,
    iG312: ( rat * num * rat ) > $o ).

tff(pred_def_191,type,
    iG313: ( rat * num * rat ) > $o ).

tff(pred_def_192,type,
    iG314: ( real * num * real ) > $o ).

tff(pred_def_193,type,
    iG315: ( real * num * real ) > $o ).

tff(pred_def_194,type,
    iG316: ( rat * num * rat ) > $o ).

tff(pred_def_195,type,
    iG317: ( rat * num * rat ) > $o ).

tff(pred_def_196,type,
    iG318: ( real * num * real ) > $o ).

tff(pred_def_197,type,
    iG319: ( real * num * real ) > $o ).

tff(pred_def_198,type,
    iG320: ( rat * num * rat ) > $o ).

tff(pred_def_199,type,
    iG321: ( rat * num * rat ) > $o ).

tff(pred_def_200,type,
    iG322: ( real * num * real ) > $o ).

tff(pred_def_201,type,
    iG323: ( real * num * real ) > $o ).

tff(pred_def_202,type,
    iG324: ( rat * num * rat ) > $o ).

tff(pred_def_203,type,
    iG325: ( rat * num * rat ) > $o ).

tff(pred_def_204,type,
    iG586: ( int * nat ) > $o ).

tff(pred_def_205,type,
    iG587: ( int * nat ) > $o ).

tff(pred_def_206,type,
    iG600: ( int * nat ) > $o ).

tff(pred_def_207,type,
    iG620: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_208,type,
    iG621: ( nat * int * int ) > $o ).

tff(pred_def_209,type,
    iG622: ( nat * nat * nat ) > $o ).

tff(pred_def_210,type,
    iG623: ( nat * code_integer ) > $o ).

tff(pred_def_211,type,
    iG624: ( nat * int ) > $o ).

tff(pred_def_212,type,
    iG625: ( nat * nat ) > $o ).

tff(pred_def_213,type,
    iG640: ( int * int * int ) > $o ).

tff(pred_def_214,type,
    iG641: ( int * int * int ) > $o ).

tff(pred_def_215,type,
    iG707: ( set_VEBT_VEBT * vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_216,type,
    iG708: ( set_complex * complex * set_complex ) > $o ).

tff(pred_def_217,type,
    iG709: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_218,type,
    iG710: ( set_real * real * set_real ) > $o ).

tff(pred_def_219,type,
    iG713: ( set_o * $o * set_o ) > $o ).

tff(pred_def_220,type,
    iG715: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_221,type,
    iG716: ( set_int * int * set_int ) > $o ).

tff(pred_def_222,type,
    iG721: ( set_VEBT_VEBT * vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_223,type,
    iG722: ( set_VEBT_VEBT * vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_224,type,
    iG723: ( set_complex * complex * set_complex ) > $o ).

tff(pred_def_225,type,
    iG724: ( set_complex * complex * set_complex ) > $o ).

tff(pred_def_226,type,
    iG725: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_227,type,
    iG726: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_228,type,
    iG727: ( set_real * real * set_real ) > $o ).

tff(pred_def_229,type,
    iG728: ( set_real * real * set_real ) > $o ).

tff(pred_def_230,type,
    iG732: ( set_o * $o * set_o ) > $o ).

tff(pred_def_231,type,
    iG733: ( set_o * $o * set_o ) > $o ).

tff(pred_def_232,type,
    iG735: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_233,type,
    iG736: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_234,type,
    iG737: ( set_int * int * set_int ) > $o ).

tff(pred_def_235,type,
    iG738: ( set_int * int * set_int ) > $o ).

tff(pred_def_236,type,
    iG778: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_237,type,
    iG780: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_238,type,
    iG784: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_239,type,
    iG786: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_240,type,
    iG796: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_241,type,
    iG798: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_242,type,
    iG800: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_243,type,
    iG802: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_244,type,
    iG803: ( nat * $o ) > $o ).

tff(pred_def_245,type,
    iG804: ( nat * $o * $o ) > $o ).

tff(pred_def_246,type,
    iG808: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_247,type,
    iG809: ( nat * $o ) > $o ).

tff(pred_def_248,type,
    iG810: ( nat * $o * $o ) > $o ).

tff(pred_def_249,type,
    iG814: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG815: ( nat * $o ) > $o ).

tff(pred_def_251,type,
    iG816: ( nat * $o * $o ) > $o ).

tff(pred_def_252,type,
    iG820: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG822: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_254,type,
    iG830: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_255,type,
    iG832: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_256,type,
    iG841: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_257,type,
    iG847: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_258,type,
    iG849: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_259,type,
    iG862: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_260,type,
    iG863: ( nat * $o ) > $o ).

tff(pred_def_261,type,
    iG864: ( nat * $o * $o ) > $o ).

tff(pred_def_262,type,
    iG870: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_263,type,
    iG871: ( nat * $o ) > $o ).

tff(pred_def_264,type,
    iG872: ( nat * $o * $o ) > $o ).

tff(pred_def_265,type,
    iG971: ( real * real * real ) > $o ).

tff(pred_def_266,type,
    iG1047: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_267,type,
    sP1048: fun_int_o > $o ).

tff(pred_def_268,type,
    sP1049: ( fun_int_o * int ) > $o ).

tff(pred_def_269,type,
    sP1050: ( fun_int_o * int * int ) > $o ).

tff(pred_def_270,type,
    sP1051: ( fun_int_o * int * int ) > $o ).

tff(pred_def_271,type,
    sP1052: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_272,type,
    sP1053: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_273,type,
    sP1054: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_274,type,
    sP1055: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_275,type,
    sP1056: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_276,type,
    sP1057: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_277,type,
    sP1058: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_278,type,
    sP1059: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_279,type,
    sP1060: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_280,type,
    sP1061: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_281,type,
    sP1062: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_282,type,
    sP1063: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_283,type,
    sP1064: ( int * int * int ) > $o ).

tff(pred_def_284,type,
    sP1065: ( int * int * int ) > $o ).

tff(pred_def_285,type,
    sP1066: ( int * int * int ) > $o ).

tff(pred_def_286,type,
    sP1067: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_287,type,
    sP1068: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_288,type,
    sP1069: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_289,type,
    sP1070: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_290,type,
    sP1071: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_291,type,
    sP1072: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_292,type,
    sP1073: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_293,type,
    sP1074: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_294,type,
    sP1075: ( fun_int_o * int * int ) > $o ).

tff(pred_def_295,type,
    sP1076: ( fun_int_o * int * int ) > $o ).

tff(pred_def_296,type,
    sP1077: ( fun_real_fun_real_o * real * real ) > $o ).

tff(pred_def_297,type,
    sP1078: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_298,type,
    sP1079: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_299,type,
    sP1080: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_300,type,
    sP1081: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_301,type,
    sP1082: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_302,type,
    sP1083: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_303,type,
    sP1084: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_304,type,
    sP1085: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_305,type,
    sP1086: ( rat * rat * rat ) > $o ).

tff(pred_def_306,type,
    sP1087: ( rat * rat * rat ) > $o ).

tff(pred_def_307,type,
    sP1088: ( rat * rat * rat ) > $o ).

tff(pred_def_308,type,
    sP1089: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_309,type,
    sP1090: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_310,type,
    sP1091: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_311,type,
    sP1092: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_312,type,
    sP1093: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_313,type,
    sP1094: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_314,type,
    sP1095: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_315,type,
    sP1096: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_316,type,
    sP1097: ( nat * nat * nat ) > $o ).

tff(pred_def_317,type,
    sP1098: ( nat * nat * nat ) > $o ).

tff(pred_def_318,type,
    sP1099: ( nat * nat * nat ) > $o ).

tff(pred_def_319,type,
    sP1100: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_320,type,
    sP1101: ( nat * fun_nat_o * nat ) > $o ).

tff(pred_def_321,type,
    sP1102: ( fun_nat_o * nat * nat ) > $o ).

tff(pred_def_322,type,
    sP1103: ( real * nat * real ) > $o ).

tff(pred_def_323,type,
    sP1104: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_324,type,
    sP1105: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_325,type,
    sP1106: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_326,type,
    sP1107: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_327,type,
    sP1108: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_328,type,
    sP1109: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_329,type,
    sP1110: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_330,type,
    sP1111: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_331,type,
    sP1112: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_332,type,
    sP1113: ( num * num * num ) > $o ).

tff(pred_def_333,type,
    sP1114: ( num * num * num ) > $o ).

tff(pred_def_334,type,
    sP1115: ( num * num * num ) > $o ).

tff(f1,axiom,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary)) = aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C3_OIH_C_I2_J) ).

tff(f3,axiom,
    aa_nat_int(semiri1314217659103216013at_int,lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList))))) = aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__C3_C) ).

tff(f91,axiom,
    ! [X0: option4927543243414619207at_nat,X1: nat,X2: list_VEBT_VEBT,X3: vEBT_VEBT] : ( aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(X3),set_VEBT_VEBT2(X2))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_VEBT__internal_Oheight_Osimps_I2_J) ).

tff(f196,axiom,
    ! [X0: nat] : ( aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,X0)) = aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_nat_int(semiri1314217659103216013at_int,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_of__nat__Suc) ).

tff(f206,axiom,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_Suc__eq__plus1__left) ).

tff(f7287,axiom,
    ! [X0: nat] : ( aa_int_nat(nat2,aa_nat_int(semiri1314217659103216013at_int,X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7286_nat__int) ).

tff(f10411,conjecture,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) = aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10412,negated_conjecture,
    ( ( ~ aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) ) = aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m)))) ),
    inference(negated_conjecture,[status(cth)],[f10411]) ).

tff(f12469,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) != aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m)))),
    inference(flattening,[],[f10412]) ).

tff(f20624,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) != aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m)))),
    inference(cnf_transformation,[],[f12469]) ).

tff(f21047,plain,
    ! [X0: nat] : ( aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,X0)) = aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_nat_int(semiri1314217659103216013at_int,X0)) ),
    inference(cnf_transformation,[],[f196]) ).

tff(f21418,plain,
    ! [X0: nat] : ( aa_int_nat(nat2,aa_nat_int(semiri1314217659103216013at_int,X0)) = X0 ),
    inference(cnf_transformation,[],[f7287]) ).

tff(f22010,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat] : ( aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(X3),set_VEBT_VEBT2(X2))))) ),
    inference(cnf_transformation,[],[f91]) ).

tff(f22013,plain,
    aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m))) = aa_nat_int(semiri1314217659103216013at_int,lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList))))),
    inference(cnf_transformation,[],[f3]) ).

tff(f22014,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary)) = aa_real_int(archim7802044766580827645g_real,aa_real_real(aa_rea7340605660300375871l_real(log,aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_nat_real(semiri5074537144036343181t_real,m))),
    inference(cnf_transformation,[],[f1]) ).

tff(f26462,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
    inference(cnf_transformation,[],[f206]) ).

tff(f34782,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary)) = aa_nat_int(semiri1314217659103216013at_int,lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList))))),
    inference(forward_demodulation,[],[f22013,f22014]) ).

tff(f34783,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat] : ( aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_nat_nat(suc,lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(X3),set_VEBT_VEBT2(X2))))) ),
    inference(forward_demodulation,[],[f22010,f26462]) ).

tff(f35065,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) != aa_int_int(aa_int_fun_int_int(plus_plus_int,one_one_int),aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))),
    inference(forward_demodulation,[],[f20624,f22014]) ).

tff(f35689,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList),summary))) != aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))),
    inference(forward_demodulation,[],[f35065,f21047]) ).

tff(f36225,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: option4927543243414619207at_nat,X1: nat,X4: option4927543243414619207at_nat,X5: nat] : ( aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,X2),X3)) = aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X4,X5,X2),X3)) ),
    inference(superposition,[],[f34783,f34783]) ).

tff(f36234,plain,
    ! [X0: option4927543243414619207at_nat,X1: nat] : ( aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))) != aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(X0,X1,treeList),summary))) ),
    inference(superposition,[],[f35689,f36225]) ).

tff(f36238,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))) != aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList)))))),
    inference(superposition,[],[f36234,f34783]) ).

tff(f36240,plain,
    lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList)))) = aa_int_nat(nat2,aa_nat_int(semiri1314217659103216013at_int,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))),
    inference(superposition,[],[f21418,f34782]) ).

tff(f36241,plain,
    aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary) = lattic8265883725875713057ax_nat(image_VEBT_VEBT_nat(vEBT_VEBT_height,aa_set3061394203342972348T_VEBT(insert_VEBT_VEBT(summary),set_VEBT_VEBT2(treeList)))),
    inference(forward_demodulation,[],[f36240,f21418]) ).

tff(f36242,plain,
    aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))) != aa_nat_int(semiri1314217659103216013at_int,aa_nat_nat(suc,aa_VEBT_VEBT_nat(vEBT_VEBT_height,summary))),
    inference(superposition,[],[f36238,f36241]) ).

tff(f36244,plain,
    $false,
    inference(trivial_inequality_removal,[],[f36242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP223_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n010.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 12:27:46 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.09/4.25  % (898826)Detected formulas, will run a generic FOF schedule.
% 20.09/4.25  % (898902)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=1587480778:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 20.09/4.25  % (898903)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2647409599:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 20.09/4.25  % (898900)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=197600232:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 20.09/4.25  % (898901)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=2240913268:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 20.09/4.25  % (898905)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4047881806:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 20.09/4.25  % (898904)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2472329282:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 20.09/4.25  % (898906)dis-21_1_sil=8000:lcm=predicate:random_seed=3340218885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 20.09/4.25  % (898905)Instruction limit reached! 
% 20.09/4.25  % (898905)------------------------------
% 20.09/4.25  % (898905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/4.25  % (898905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/4.25  % (898905)CaDiCaL version: 2.1.3
% 20.09/4.25  % (898905)Termination reason: Instruction limit
% 20.09/4.25  % (898905)Termination phase: Property scanning
% 20.09/4.25  % (898905)Time elapsed: 0.054 s
% 20.09/4.25  % (898905)Peak memory usage: 93 MB
% 20.09/4.25  % (898905)Instructions burned: 140 (million)
% 20.09/4.25  % (898903)Instruction limit reached! 
% 20.09/4.25  % (898903)------------------------------
% 20.09/4.25  % (898903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/4.25  % (898903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/4.25  % (898903)CaDiCaL version: 2.1.3
% 20.09/4.25  % (898903)Termination reason: Instruction limit
% 20.09/4.25  % (898903)Termination phase: Property scanning
% 20.09/4.25  % (898903)Time elapsed: 0.055 s
% 20.09/4.25  % (898903)Peak memory usage: 96 MB
% 20.09/4.25  % (898903)Instructions burned: 111 (million)
% 20.09/4.25  % (898904)Instruction limit reached! 
% 20.09/4.25  % (898904)------------------------------
% 20.09/4.25  % (898904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/4.25  % (898904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/4.25  % (898904)CaDiCaL version: 2.1.3
% 20.09/4.25  % (898904)Termination reason: Instruction limit
% 20.09/4.25  % (898904)Termination phase: Property scanning
% 20.09/4.25  % (898904)Time elapsed: 0.059 s
% 20.09/4.25  % (898904)Peak memory usage: 96 MB
% 20.09/4.25  % (898904)Instructions burned: 119 (million)
% 20.09/4.25  % (898906)Instruction limit reached! 
% 20.09/4.25  % (898906)------------------------------
% 20.09/4.25  % (898906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/4.25  % (898906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/4.25  % (898906)CaDiCaL version: 2.1.3
% 20.09/4.25  % (898906)Termination reason: Instruction limit
% 20.09/4.25  % (898906)Termination phase: Property scanning
% 20.09/4.25  % (898906)Time elapsed: 0.063 s
% 20.09/4.25  % (898906)Peak memory usage: 97 MB
% 20.09/4.25  % (898906)Instructions burned: 131 (million)
% 20.09/4.25  % (898915)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1758545268:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 20.09/4.25  % (898914)lrs+10_1_sil=8000:sp=occurrence:random_seed=4057054651:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 20.09/4.25  % (898916)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2683179751:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 20.09/4.25  % (898917)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=2378733379:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 20.09/4.25  % (898915)Instruction limit reached! 
% 20.09/4.25  % (898915)------------------------------
% 30.59/5.80  % (898915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898915)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898915)Termination reason: Instruction limit
% 30.59/5.80  % (898915)Termination phase: Property scanning
% 30.59/5.80  % (898915)Time elapsed: 0.062 s
% 30.59/5.80  % (898915)Peak memory usage: 93 MB
% 30.59/5.80  % (898915)Instructions burned: 159 (million)
% 30.59/5.80  % (898914)Instruction limit reached! 
% 30.59/5.80  % (898914)------------------------------
% 30.59/5.80  % (898914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898914)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898914)Termination reason: Instruction limit
% 30.59/5.80  % (898914)Termination phase: SInE selection
% 30.59/5.80  % (898914)Time elapsed: 0.135 s
% 30.59/5.80  % (898914)Peak memory usage: 97 MB
% 30.59/5.80  % (898914)Instructions burned: 286 (million)
% 30.59/5.80  % (898917)Instruction limit reached! 
% 30.59/5.80  % (898917)------------------------------
% 30.59/5.80  % (898917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898917)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898917)Termination reason: Instruction limit
% 30.59/5.80  % (898917)Termination phase: Property scanning
% 30.59/5.80  % (898917)Time elapsed: 0.110 s
% 30.59/5.80  % (898917)Peak memory usage: 97 MB
% 30.59/5.80  % (898917)Instructions burned: 248 (million)
% 30.59/5.80  % (898916)Instruction limit reached! 
% 30.59/5.80  % (898916)------------------------------
% 30.59/5.80  % (898916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898916)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898916)Termination reason: Instruction limit
% 30.59/5.80  % (898916)Termination phase: Property scanning
% 30.59/5.80  % (898916)Time elapsed: 0.163 s
% 30.59/5.80  % (898916)Peak memory usage: 98 MB
% 30.59/5.80  % (898916)Instructions burned: 327 (million)
% 30.59/5.80  % (898922)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1348808449:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 30.59/5.80  % (898923)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1128154740:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 30.59/5.80  % (898925)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1912549389:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 30.59/5.80  % (898924)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2316120883:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 30.59/5.80  % (898922)Instruction limit reached! 
% 30.59/5.80  % (898922)------------------------------
% 30.59/5.80  % (898922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898922)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898922)Termination reason: Instruction limit
% 30.59/5.80  % (898922)Termination phase: SInE selection
% 30.59/5.80  % (898922)Time elapsed: 0.139 s
% 30.59/5.80  % (898922)Peak memory usage: 97 MB
% 30.59/5.80  % (898922)Instructions burned: 294 (million)
% 30.59/5.80  % (898924)Instruction limit reached! 
% 30.59/5.80  % (898924)------------------------------
% 30.59/5.80  % (898924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898924)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898924)Termination reason: Instruction limit
% 30.59/5.80  % (898924)Termination phase: Property scanning
% 30.59/5.80  % (898924)Time elapsed: 0.057 s
% 30.59/5.80  % (898924)Peak memory usage: 96 MB
% 30.59/5.80  % (898924)Instructions burned: 116 (million)
% 30.59/5.80  % (898925)Instruction limit reached! 
% 30.59/5.80  % (898925)------------------------------
% 30.59/5.80  % (898925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.59/5.80  % (898925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.59/5.80  % (898925)CaDiCaL version: 2.1.3
% 30.59/5.80  % (898925)Termination reason: Instruction limit
% 30.59/5.80  % (898925)Termination phase: Property scanning
% 30.59/5.80  % (898925)Time elapsed: 0.061 s
% 25.13/9.37  % (898925)Peak memory usage: 96 MB
% 25.13/9.37  % (898925)Instructions burned: 127 (million)
% 25.13/9.37  % (898930)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2434051068:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 25.13/9.37  % (898932)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1482921556:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 25.13/9.37  % (898931)lrs+10_1_sil=8000:sp=occurrence:random_seed=1332788673:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 25.13/9.37  % (898930)Instruction limit reached! 
% 25.13/9.37  % (898930)------------------------------
% 25.13/9.37  % (898930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898930)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898930)Termination reason: Instruction limit
% 25.13/9.37  % (898930)Termination phase: Property scanning
% 25.13/9.37  % (898930)Time elapsed: 0.062 s
% 25.13/9.37  % (898930)Peak memory usage: 93 MB
% 25.13/9.37  % (898930)Instructions burned: 114 (million)
% 25.13/9.37  % (898943)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3160140846:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 25.13/9.37  % (898932)Instruction limit reached! 
% 25.13/9.37  % (898932)------------------------------
% 25.13/9.37  % (898932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898932)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898932)Termination reason: Instruction limit
% 25.13/9.37  % (898932)Termination phase: Preprocessing 3
% 25.13/9.37  % (898932)Time elapsed: 0.396 s
% 25.13/9.37  % (898932)Peak memory usage: 102 MB
% 25.13/9.37  % (898932)Instructions burned: 437 (million)
% 25.13/9.37  % (898956)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=278706736:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 25.13/9.37  % (898931)Instruction limit reached! 
% 25.13/9.37  % (898931)------------------------------
% 25.13/9.37  % (898931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898931)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898931)Termination reason: Instruction limit
% 25.13/9.37  % (898931)Termination phase: Saturation
% 25.13/9.37  % (898931)Time elapsed: 0.755 s
% 25.13/9.37  % (898931)Peak memory usage: 106 MB
% 25.13/9.37  % (898931)Instructions burned: 907 (million)
% 25.13/9.37  % (898956)Instruction limit reached! 
% 25.13/9.37  % (898956)------------------------------
% 25.13/9.37  % (898956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898956)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898956)Termination reason: Instruction limit
% 25.13/9.37  % (898956)Termination phase: NewCNF
% 25.13/9.37  % (898956)Time elapsed: 0.156 s
% 25.13/9.37  % (898956)Peak memory usage: 98 MB
% 25.13/9.37  % (898956)Instructions burned: 134 (million)
% 25.13/9.37  % (898966)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2621742085:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 25.13/9.37  % (898969)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2900571274:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 25.13/9.37  % (898966)Instruction limit reached! 
% 25.13/9.37  % (898966)------------------------------
% 25.13/9.37  % (898966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898966)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898966)Termination reason: Instruction limit
% 25.13/9.37  % (898966)Termination phase: Property scanning
% 25.13/9.37  % (898966)Time elapsed: 0.554 s
% 25.13/9.37  % (898966)Peak memory usage: 105 MB
% 25.13/9.37  % (898966)Instructions burned: 593 (million)
% 25.13/9.37  % (898923)Instruction limit reached! 
% 25.13/9.37  % (898923)------------------------------
% 25.13/9.37  % (898923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898923)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898923)Termination reason: Instruction limit
% 25.13/9.37  % (898923)Termination phase: Saturation
% 25.13/9.37  % (898923)Time elapsed: 2.083 s
% 25.13/9.37  % (898923)Peak memory usage: 227 MB
% 25.13/9.37  % (898923)Instructions burned: 2351 (million)
% 25.13/9.37  % (898982)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1032873200:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 25.13/9.37  % (898982)Instruction limit reached! 
% 25.13/9.37  % (898982)------------------------------
% 25.13/9.37  % (898982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898982)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898982)Termination reason: Instruction limit
% 25.13/9.37  % (898982)Termination phase: Property scanning
% 25.13/9.37  % (898982)Time elapsed: 0.102 s
% 25.13/9.37  % (898982)Peak memory usage: 93 MB
% 25.13/9.37  % (898982)Instructions burned: 125 (million)
% 25.13/9.37  % (898985)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2978625961:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 25.13/9.37  % (898988)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2274030295:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 25.13/9.37  % (898985)Instruction limit reached! 
% 25.13/9.37  % (898985)------------------------------
% 25.13/9.37  % (898985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898985)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898985)Termination reason: Instruction limit
% 25.13/9.37  % (898985)Termination phase: Property scanning
% 25.13/9.37  % (898985)Time elapsed: 0.107 s
% 25.13/9.37  % (898985)Peak memory usage: 93 MB
% 25.13/9.37  % (898985)Instructions burned: 134 (million)
% 25.13/9.37  % (898988)Refutation not found, incomplete strategy
% 25.13/9.37  % (898988)------------------------------
% 25.13/9.37  % (898988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898988)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898988)Termination reason: Refutation not found, incomplete strategy
% 25.13/9.37  % (898988)Time elapsed: 0.111 s
% 25.13/9.37  % (898988)Peak memory usage: 98 MB
% 25.13/9.37  % (898988)Instructions burned: 106 (million)
% 25.13/9.37  % (898995)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1675018158:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 25.13/9.37  % (898988)------------------------------
% 25.13/9.37  % (898988)------------------------------
% 25.13/9.37  % (898995)Instruction limit reached! 
% 25.13/9.37  % (898995)------------------------------
% 25.13/9.37  % (898995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898995)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898995)Termination reason: Instruction limit
% 25.13/9.37  % (898995)Termination phase: Saturation
% 25.13/9.37  % (898995)Time elapsed: 0.394 s
% 25.13/9.37  % (898995)Peak memory usage: 101 MB
% 25.13/9.37  % (898995)Instructions burned: 432 (million)
% 25.13/9.37  % (899005)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1493545129:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 25.13/9.37  % (899010)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2132806805:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 25.13/9.37  % (899010)Instruction limit reached! 
% 25.13/9.37  % (899010)------------------------------
% 25.13/9.37  % (899010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (899010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (899010)CaDiCaL version: 2.1.3
% 25.13/9.37  % (899010)Termination reason: Instruction limit
% 25.13/9.37  % (899010)Termination phase: Property scanning
% 25.13/9.37  % (899010)Time elapsed: 0.130 s
% 25.13/9.37  % (899010)Peak memory usage: 97 MB
% 25.13/9.37  % (899010)Instructions burned: 151 (million)
% 25.13/9.37  % (899021)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=253678444:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 25.13/9.37  % (898943)Instruction limit reached! 
% 25.13/9.37  % (898943)------------------------------
% 25.13/9.37  % (898943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (898943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (898943)CaDiCaL version: 2.1.3
% 25.13/9.37  % (898943)Termination reason: Instruction limit
% 25.13/9.37  % (898943)Termination phase: Saturation
% 25.13/9.37  % (898943)Time elapsed: 4.962 s
% 25.13/9.37  % (898943)Peak memory usage: 257 MB
% 25.13/9.37  % (898943)Instructions burned: 5203 (million)
% 25.13/9.37  % (899037)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4805969:i=667:av=off:fsr=off_2931 on theBenchmark for (2931ds/667Mi)
% 25.13/9.37  % (899037)Instruction limit reached! 
% 25.13/9.37  % (899037)------------------------------
% 25.13/9.37  % (899037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (899037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (899037)CaDiCaL version: 2.1.3
% 25.13/9.37  % (899037)Termination reason: Instruction limit
% 25.13/9.37  % (899037)Termination phase: Property scanning
% 25.13/9.37  % (899037)Time elapsed: 0.616 s
% 25.13/9.37  % (899037)Peak memory usage: 107 MB
% 25.13/9.37  % (899037)Instructions burned: 668 (million)
% 25.13/9.37  % (898969)First to succeed.
% 25.13/9.37  % (898969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-898826"
% 25.13/9.37  % (899048)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1520230277:s2a=on:i=185:s2at=1.8:fdi=4_2922 on theBenchmark for (2922ds/185Mi)
% 25.13/9.37  % (899048)Instruction limit reached! 
% 25.13/9.37  % (899048)------------------------------
% 25.13/9.37  % (899048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.13/9.37  % (899048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.13/9.37  % (899048)CaDiCaL version: 2.1.3
% 25.13/9.37  % (899048)Termination reason: Instruction limit
% 25.13/9.37  % (899048)Termination phase: NewCNF
% 25.13/9.37  % (899048)Time elapsed: 0.209 s
% 25.13/9.37  % (899048)Peak memory usage: 98 MB
% 25.13/9.37  % (899048)Instructions burned: 185 (million)
% 25.13/9.37  % (898969)Refutation found. Thanks to Tanya!
% 25.13/9.37  % SZS status Theorem for theBenchmark
% 25.13/9.37  % SZS output start Proof for theBenchmark
% See solution above
% 57.06/9.68  % (898969)------------------------------
% 57.06/9.68  % (898969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.06/9.68  % (898969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.06/9.68  % (898969)CaDiCaL version: 2.1.3
% 57.06/9.68  % (898969)Termination reason: Refutation
% 57.06/9.68  % (898969)Time elapsed: 5.295 s
% 57.06/9.68  % (898969)Peak memory usage: 257 MB
% 57.06/9.68  % (898969)Instructions burned: 5665 (million)
% 57.06/9.68  % (898969)------------------------------
% 57.06/9.68  % (898969)------------------------------
% 57.06/9.68  % (898826)Success in time 8.489 s
% 57.06/9.68  % Vampire exiting
%------------------------------------------------------------------------------