Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP246_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 11:31:41 AM UTC 2026

% Result   : Theorem 54.83s 10.48s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  294 ( 293 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  263 ( 261 usr;   1 prp; 0-6 aty)
%            Number of functors    : 2374 (2374 usr; 451 con; 0-8 aty)
%            Number of variables   :    4 (   4   !;   0   ?;   4   :)

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

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

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

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

tff(type_def_9,type,
    fun_Pr5442483421567724333t_bool: $tType ).

tff(type_def_10,type,
    fun_fu4669108322068655547t_bool: $tType ).

tff(type_def_11,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_12,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_13,type,
    fun_fu2749353902725170073t_bool: $tType ).

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

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

tff(type_def_16,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_17,type,
    produc9217583074051984497at_nat: $tType ).

tff(type_def_18,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_19,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_20,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_21,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_22,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_23,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_24,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_25,type,
    fun_fu762719556336274221l_bool: $tType ).

tff(type_def_26,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_27,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_28,type,
    fun_fu813382667476268716l_bool: $tType ).

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

tff(type_def_30,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_31,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_32,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_33,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_34,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_35,type,
    fun_fu8602805464270671924l_bool: $tType ).

tff(type_def_36,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_37,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_38,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_39,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_40,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_41,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_42,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_43,type,
    fun_op7210469962420818650on_nat: $tType ).

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

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

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

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

tff(type_def_48,type,
    fun_se7035039998181355731t_bool: $tType ).

tff(type_def_49,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_50,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_51,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_52,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_53,type,
    fun_fu8308374331699588969t_bool: $tType ).

tff(type_def_54,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_55,type,
    fun_fu2636726645394866687t_bool: $tType ).

tff(type_def_56,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_57,type,
    fun_fu8467804991414204575t_bool: $tType ).

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

tff(type_def_59,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_60,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_61,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_62,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_63,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_64,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_65,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_66,type,
    fun_se6358542376187484365t_bool: $tType ).

tff(type_def_67,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_68,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_69,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_70,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_71,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_72,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_73,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_74,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_75,type,
    fun_Pr8073036449086768093x_bool: $tType ).

tff(type_def_76,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_77,type,
    fun_se2973560062716774839x_bool: $tType ).

tff(type_def_78,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_79,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_80,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_81,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_82,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_83,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_84,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_85,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_86,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_87,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_88,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_89,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_90,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_91,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_92,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_93,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_94,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_95,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_96,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_97,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_98,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_99,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_100,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_101,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_102,type,
    produc7272778201969148633d_enat: $tType ).

tff(type_def_103,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_104,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_105,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_106,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_107,type,
    fun_Pr9030630356418945121l_bool: $tType ).

tff(type_def_108,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_109,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_110,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_111,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_112,type,
    fun_se2197967325210717499l_bool: $tType ).

tff(type_def_113,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_114,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_115,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_116,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_117,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_118,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_119,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_120,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_121,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_122,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_123,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_124,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_125,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_126,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_127,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_128,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_129,type,
    fun_se680526843285281907t_bool: $tType ).

tff(type_def_130,type,
    fun_se6612071603986899387t_bool: $tType ).

tff(type_def_131,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_132,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_133,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_134,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_135,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_136,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_137,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_138,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_139,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_140,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_141,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_142,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_143,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_144,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_145,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_146,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_147,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_148,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_149,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_150,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_151,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_152,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_153,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_154,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_155,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_156,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_157,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_158,type,
    fun_fu7307090382573344987l_bool: $tType ).

tff(type_def_159,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_160,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_161,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_162,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_163,type,
    fun_bo1841576699660343469l_bool: $tType ).

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

tff(type_def_165,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

tff(type_def_168,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_169,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_190,type,
    fun_Ex3741802288643809319omplex: $tType ).

tff(type_def_191,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_193,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_194,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_204,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

tff(type_def_211,type,
    fun_Pr1792556611952799308t_real: $tType ).

tff(type_def_212,type,
    fun_Ex1451620480498224165t_real: $tType ).

tff(type_def_213,type,
    fun_Ex8563670519792538868t_bool: $tType ).

tff(type_def_214,type,
    fun_na8797796813480665199d_enat: $tType ).

tff(type_def_215,type,
    fun_Ex4152069839811072081at_rat: $tType ).

tff(type_def_216,type,
    fun_Ex7660298398204468809at_nat: $tType ).

tff(type_def_217,type,
    fun_Ex3482447378695272101at_int: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Extended_enat > fun_Ex8563670519792538868t_bool ).

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

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

tff(func_def_3,type,
    aTP_Lamm_ac: set_list_nat > fun_list_nat_bool ).

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

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

tff(func_def_6,type,
    aTP_Lamm_af: complex > fun_complex_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_re1255401033344146673l_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_nat_fun_nat_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_int_fun_int_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_Co8310303586393106575r_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_Extended_enat > fun_se6358542376187484365t_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: set_complex > fun_se2973560062716774839x_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: set_real > fun_se2197967325210717499l_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: set_list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_15,type,
    aTP_Lamm_ao: set_int > fun_se6612071603986899387t_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_nat > fun_se680526843285281907t_bool ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_real_real ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_rat_rat ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_nat_nat ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_int_int ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_re7681423839302404990l_real ).

tff(func_def_22,type,
    aTP_Lamm_av: rat > fun_rat_rat ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_nat_fun_nat_nat ).

tff(func_def_24,type,
    aTP_Lamm_ax: int > fun_int_int ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_complex_complex ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_real_real ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_rat_rat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_int_int ).

tff(func_def_30,type,
    aTP_Lamm_bd: list_complex > fun_complex_bool ).

tff(func_def_31,type,
    aTP_Lamm_be: list_real > fun_real_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: list_list_nat > fun_list_nat_bool ).

tff(func_def_33,type,
    aTP_Lamm_bg: list_VEBT_VEBT > fun_VEBT_VEBT_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: list_bool > fun_bool_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: list_nat > fun_nat_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: list_int > fun_int_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_nat_fun_nat_bool ).

tff(func_def_38,type,
    aTP_Lamm_bl: complex > fun_na1591161823130732966omplex ).

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

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

tff(func_def_41,type,
    aTP_Lamm_bo: int > fun_nat_fun_int_int ).

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

tff(func_def_43,type,
    aTP_Lamm_bq: complex > fun_na1591161823130732966omplex ).

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

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

tff(func_def_46,type,
    aTP_Lamm_bt: fun_re4238438383274954274t_real ).

tff(func_def_47,type,
    aTP_Lamm_bu: complex > fun_nat_complex ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_re4238438383274954274t_real ).

tff(func_def_49,type,
    aTP_Lamm_bw: rat > fun_nat_rat ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_int_int > fun_int_fun_int_int ).

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

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

tff(func_def_55,type,
    aTP_Lamm_cc: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_int > fun_na7654559027617327379at_int ).

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

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

tff(func_def_61,type,
    aTP_Lamm_ci: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_66,type,
    aTP_Lamm_cn: complex > fun_nat_complex ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_re4238438383274954274t_real ).

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

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_fun_nat_nat ).

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

tff(func_def_71,type,
    aTP_Lamm_cs: complex > fun_na1142814060743658952omplex ).

tff(func_def_72,type,
    aTP_Lamm_ct: real > fun_nat_fun_nat_real ).

tff(func_def_73,type,
    aTP_Lamm_cu: rat > fun_nat_fun_nat_rat ).

tff(func_def_74,type,
    aTP_Lamm_cv: nat > fun_nat_fun_nat_nat ).

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

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

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

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

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

tff(func_def_80,type,
    aTP_Lamm_db: complex > fun_nat_complex ).

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

tff(func_def_82,type,
    aTP_Lamm_dd: fun_re4238438383274954274t_real ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_nat_fun_nat_nat ).

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

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_nat ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_int ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_int_int ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_int_int > fun_fu1143798476471108391nt_int ).

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

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_re4238438383274954274t_real ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_re4238438383274954274t_real ).

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

tff(func_def_97,type,
    aTP_Lamm_ds: fun_nat_real > fun_nat_real ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_nat_real ).

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

tff(func_def_100,type,
    aTP_Lamm_dv: real > fun_fu6899955116716589935t_real ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_nat_real > fun_re4238438383274954274t_real ).

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

tff(func_def_104,type,
    aTP_Lamm_dz: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_re4238438383274954274t_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_nat_real ).

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

tff(func_def_108,type,
    aTP_Lamm_ed: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_re4238438383274954274t_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_nat_fun_nat_bool ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_nat_fun_nat_bool ).

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

tff(func_def_115,type,
    aTP_Lamm_ek: int > fun_int_fun_int_bool ).

tff(func_def_116,type,
    aTP_Lamm_el: int > fun_int_fun_int_bool ).

tff(func_def_117,type,
    aTP_Lamm_em: nat > fun_co1378794544173401837x_bool ).

tff(func_def_118,type,
    aTP_Lamm_en: nat > fun_nat_fun_nat_nat ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_re4238438383274954274t_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_re4238438383274954274t_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_real ).

tff(func_def_122,type,
    aTP_Lamm_er: nat > fun_complex_bool ).

tff(func_def_123,type,
    aTP_Lamm_es: real > fun_fu6899955116716589935t_real ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_127,type,
    aTP_Lamm_ew: fun_re4238438383274954274t_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: nat > fun_nat_complex ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_fun_nat_nat ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_fun_nat_nat ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_nat_fun_nat_nat ).

tff(func_def_132,type,
    aTP_Lamm_fb: nat > fun_nat_fun_nat_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: nat > fun_na3244735409550470327at_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: nat > fun_na3244735409550470327at_nat ).

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

tff(func_def_136,type,
    aTP_Lamm_ff: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_fun_nat_nat ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_nat_fun_nat_nat ).

tff(func_def_140,type,
    aTP_Lamm_fj: complex > fun_na5941084329111710283x_bool ).

tff(func_def_141,type,
    aTP_Lamm_fk: complex > fun_real_bool ).

tff(func_def_142,type,
    aTP_Lamm_fl: num > fun_na4138050610385705875at_nat ).

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

tff(func_def_144,type,
    aTP_Lamm_fn: fun_na4138050610385705875at_nat ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_re1255401033344146673l_bool ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_real_bool ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_re1255401033344146673l_bool ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_real_bool ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_re1255401033344146673l_bool ).

tff(func_def_150,type,
    aTP_Lamm_ft: num > fun_Co2470855966376689427nteger ).

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

tff(func_def_152,type,
    aTP_Lamm_fv: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_154,type,
    aTP_Lamm_fx: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_155,type,
    aTP_Lamm_fy: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_bool ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_bool ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_fun_nat_nat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_nat_fun_nat_nat ).

tff(func_def_160,type,
    aTP_Lamm_gd: real > fun_int_bool ).

tff(func_def_161,type,
    aTP_Lamm_ge: rat > fun_int_bool ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_in1696471567231710611nt_int ).

tff(func_def_163,type,
    aTP_Lamm_gg: int > fun_in2204242111582549184nt_int ).

tff(func_def_164,type,
    aTP_Lamm_gh: rat > fun_in1696471567231710611nt_int ).

tff(func_def_165,type,
    aTP_Lamm_gi: int > fun_in2204242111582549184nt_int ).

tff(func_def_166,type,
    aTP_Lamm_gj: rat > fun_in1696471567231710611nt_int ).

tff(func_def_167,type,
    aTP_Lamm_gk: int > fun_in2204242111582549184nt_int ).

tff(func_def_168,type,
    aTP_Lamm_gl: rat > fun_in1696471567231710611nt_int ).

tff(func_def_169,type,
    aTP_Lamm_gm: int > fun_in2204242111582549184nt_int ).

tff(func_def_170,type,
    aTP_Lamm_gn: rat > fun_in1696471567231710611nt_int ).

tff(func_def_171,type,
    aTP_Lamm_go: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_Co1092983284983208416er_int ).

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_na3408937105440547634t_bool ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_na4786964484885125043t_bool ).

tff(func_def_177,type,
    aTP_Lamm_gu: nat > fun_na3408937105440547634t_bool ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_na4786964484885125043t_bool ).

tff(func_def_179,type,
    aTP_Lamm_gw: nat > fun_na4143055713577223196at_nat ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_na1668100129766719005at_nat ).

tff(func_def_181,type,
    aTP_Lamm_gy: nat > fun_na4143055713577223196at_nat ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_na1668100129766719005at_nat ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_nat_fun_nat_nat ).

tff(func_def_184,type,
    aTP_Lamm_hb: nat > fun_li8232715659020003717t_bool ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_fun_nat_nat ).

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

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_option_num ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_num_option_num ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_num_option_num ).

tff(func_def_190,type,
    aTP_Lamm_hh: num > fun_nat_option_num ).

tff(func_def_191,type,
    aTP_Lamm_hi: num > fun_nat_option_num ).

tff(func_def_192,type,
    aTP_Lamm_hj: int > fun_int_int ).

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

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

tff(func_def_195,type,
    aTP_Lamm_hm: num > fun_nat_option_num ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_na7595719129879163854on_num ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_Co8521658056209057742er_num ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_nat_fun_nat_nat ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_fun_nat_nat ).

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

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

tff(func_def_202,type,
    aTP_Lamm_ht: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_203,type,
    aTP_Lamm_hu: nat > fun_na5614638261385347865t_bool ).

tff(func_def_204,type,
    aTP_Lamm_hv: nat > fun_na5614638261385347865t_bool ).

tff(func_def_205,type,
    aTP_Lamm_hw: nat > fun_na5614638261385347865t_bool ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_nat_fun_nat_nat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_nat_fun_nat_nat ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_nat_nat ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_real_bool ).

tff(func_def_210,type,
    aTP_Lamm_ib: fun_real_bool ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_nat_fun_nat_nat ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_na6724076748692969250l_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_real_real > fun_real_real ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_na6724076748692969250l_real ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_re7681423839302404990l_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

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

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_nat_real > fun_real_real ).

tff(func_def_224,type,
    aTP_Lamm_ip: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_225,type,
    aTP_Lamm_iq: real > fun_fu5589980185390252312t_real ).

tff(func_def_226,type,
    aTP_Lamm_ir: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_227,type,
    aTP_Lamm_is: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: nat > fun_fu3612569900928539882l_real ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_real_real ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_re4238438383274954274t_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_real_real ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_nat_real > fun_nat_real ).

tff(func_def_235,type,
    aTP_Lamm_ja: fun_nat_real ).

tff(func_def_236,type,
    aTP_Lamm_jb: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_237,type,
    aTP_Lamm_jc: fun_nat_real > fun_nat_real ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_nat_real ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_re4238438383274954274t_real ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_nat_real ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_re4238438383274954274t_real ).

tff(func_def_242,type,
    aTP_Lamm_jh: real > fun_re4238438383274954274t_real ).

tff(func_def_243,type,
    aTP_Lamm_ji: fun_re4238438383274954274t_real ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_re4238438383274954274t_real ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_re4238438383274954274t_real ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_re4238438383274954274t_real ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_real > fun_nat_real ).

tff(func_def_250,type,
    aTP_Lamm_jp: fun_nat_real > fun_nat_real ).

tff(func_def_251,type,
    aTP_Lamm_jq: fun_nat_real > fun_nat_real ).

tff(func_def_252,type,
    aTP_Lamm_jr: fun_nat_bool > fun_nat_bool ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_real_real > fun_fu7376312551830202376l_bool ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_256,type,
    aTP_Lamm_jv: real > fun_re1255401033344146673l_bool ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_real_real > fun_real_bool ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_real_real ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_na6724076748692969250l_real ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_re7681423839302404990l_real ).

tff(func_def_262,type,
    aTP_Lamm_kb: nat > fun_fu3077872570260440615l_real ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_re7681423839302404990l_real ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_real_bool > fun_re1255401033344146673l_bool ).

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

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

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

tff(func_def_268,type,
    aTP_Lamm_kh: int > fun_in6148020733644367646t_bool ).

tff(func_def_269,type,
    aTP_Lamm_ki: rat > fun_int_fun_int_bool ).

tff(func_def_270,type,
    aTP_Lamm_kj: int > fun_in6148020733644367646t_bool ).

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

tff(func_def_272,type,
    aTP_Lamm_kl: int > fun_int_fun_int_bool ).

tff(func_def_273,type,
    aTP_Lamm_km: int > fun_int_fun_int_bool ).

tff(func_def_274,type,
    aTP_Lamm_kn: real > fun_re1255401033344146673l_bool ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_re5512370375968561900l_real ).

tff(func_def_276,type,
    aTP_Lamm_kp: real > fun_co1378794544173401837x_bool ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_re3844104906058862192omplex ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_nat_fun_nat_bool ).

tff(func_def_280,type,
    aTP_Lamm_kt: fun_fu6579618355643354601at_rat ).

tff(func_def_281,type,
    aTP_Lamm_ku: rat > fun_nat_rat ).

tff(func_def_282,type,
    aTP_Lamm_kv: fun_fu8328862064278946247at_rat ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_fu6579618355643354601at_rat ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_Co3583066429914935172er_nat ).

tff(func_def_286,type,
    aTP_Lamm_kz: fun_nat_rat > fun_nat_rat ).

tff(func_def_287,type,
    aTP_Lamm_la: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_288,type,
    aTP_Lamm_lb: fun_nat_rat ).

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

tff(func_def_290,type,
    aTP_Lamm_ld: fun_nat_rat ).

tff(func_def_291,type,
    aTP_Lamm_le: int > fun_nat_rat ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_fu8328862064278946247at_rat ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_fun_nat_rat_bool ).

tff(func_def_294,type,
    aTP_Lamm_lh: fun_num_fun_num_int ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_int_int ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_Pr1308109350235310159nt_int ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_Pr1308109350235310159nt_int ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_Pr803113274115125473t_bool ).

tff(func_def_299,type,
    aTP_Lamm_lm: set_real > fun_real_bool ).

tff(func_def_300,type,
    aTP_Lamm_ln: nat > fun_na3408937105440547634t_bool ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_na4786964484885125043t_bool ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_re7681423839302404990l_real ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_re7681423839302404990l_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: extended_enat > fun_nat_bool ).

tff(func_def_305,type,
    aTP_Lamm_ls: extended_enat > fun_nat_bool ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_int_fun_int_int ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_na819858167508000762st_nat ).

tff(func_def_308,type,
    aTP_Lamm_lv: real > fun_re8658731967611918585t_real ).

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

tff(func_def_310,type,
    aTP_Lamm_lx: nat > fun_nat_set_nat ).

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

tff(func_def_312,type,
    aTP_Lamm_lz: nat > fun_nat_set_nat ).

tff(func_def_313,type,
    aTP_Lamm_ma: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_314,type,
    aTP_Lamm_mb: nat > fun_na8797796813480665199d_enat ).

tff(func_def_315,type,
    aTP_Lamm_mc: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_316,type,
    aTP_Lamm_md: nat > fun_na8797796813480665199d_enat ).

tff(func_def_317,type,
    aTP_Lamm_me: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_318,type,
    aTP_Lamm_mf: nat > fun_na8797796813480665199d_enat ).

tff(func_def_319,type,
    aTP_Lamm_mg: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_na8797796813480665199d_enat ).

tff(func_def_321,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_322,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_323,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_324,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_325,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_326,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_327,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_328,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_329,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_330,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_331,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_332,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_333,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_334,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_335,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_336,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_337,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_338,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_339,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_340,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool ) > fun_fu8602805464270671924l_bool ).

tff(func_def_341,type,
    bNF_re237660433471117187t_real: ( fun_fu990398353789569848l_bool * fun_fu990398353789569848l_bool ) > fun_fu762719556336274221l_bool ).

tff(func_def_342,type,
    bNF_re9178625837396562677at_rat: ( fun_fu2636726645394866687t_bool * fun_fu2636726645394866687t_bool ) > fun_fu4669108322068655547t_bool ).

tff(func_def_343,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_344,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_345,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_346,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_347,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_348,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_349,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_350,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_351,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_352,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_353,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_354,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_355,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_356,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_357,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_358,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_359,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_360,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_361,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_362,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_363,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_364,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_365,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_366,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_367,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_368,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_369,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_370,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_371,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_372,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_373,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_374,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_375,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_376,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_377,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_378,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_379,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_380,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_381,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_382,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_383,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_384,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_385,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_386,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_387,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_388,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_389,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_390,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_391,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_392,type,
    bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_393,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_394,type,
    bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_395,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_396,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_397,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_398,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_399,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_400,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_401,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_402,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_403,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_404,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_405,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_406,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_407,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_408,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_409,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_410,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_411,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_412,type,
    comple2295165028678016749d_enat: set_Extended_enat > extended_enat ).

tff(func_def_413,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_414,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_415,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_416,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_417,type,
    comple4398354569131411667d_enat: set_Extended_enat > extended_enat ).

tff(func_def_418,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_419,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_420,type,
    arg: fun_complex_real ).

tff(func_def_421,type,
    cis: fun_real_complex ).

tff(func_def_422,type,
    cnj: fun_complex_complex ).

tff(func_def_423,type,
    complex2: real > fun_real_complex ).

tff(func_def_424,type,
    im: fun_complex_real ).

tff(func_def_425,type,
    re: fun_complex_real ).

tff(func_def_426,type,
    csqrt: fun_complex_complex ).

tff(func_def_427,type,
    imaginary_unit: complex ).

tff(func_def_428,type,
    rcis: real > fun_real_complex ).

tff(func_def_429,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_430,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_431,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_432,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_433,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_434,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_435,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_436,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_437,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_438,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_439,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_440,type,
    euclid4777050414544973029ze_nat: fun_nat_nat ).

tff(func_def_441,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_442,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_443,type,
    extended_eSuc: fun_Ex5852502975177633731d_enat ).

tff(func_def_444,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_445,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_446,type,
    extend8126323780198025762t_bool: ( fun_nat_bool * bool ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_447,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_448,type,
    extended_the_enat: fun_Ex7660298398204468809at_nat ).

tff(func_def_449,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_450,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_451,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_452,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_453,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_454,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_455,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_456,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_457,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_458,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_459,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_460,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_461,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_462,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_463,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_464,type,
    at_bot_real: filter_real ).

tff(func_def_465,type,
    at_top_nat: filter_nat ).

tff(func_def_466,type,
    at_top_real: filter_real ).

tff(func_def_467,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_468,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_469,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_470,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_471,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_472,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_473,type,
    finite_card_int: set_int > nat ).

tff(func_def_474,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_475,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_476,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_477,type,
    finite_card_char: set_char > nat ).

tff(func_def_478,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_479,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_480,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_481,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_482,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_483,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_484,type,
    id_bool: fun_bool_bool ).

tff(func_def_485,type,
    id_nat: fun_nat_nat ).

tff(func_def_486,type,
    map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

tff(func_def_487,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_488,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_489,type,
    map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

tff(func_def_490,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_491,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_492,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_493,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_494,type,
    map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).

tff(func_def_495,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_496,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_497,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_498,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_499,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_500,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_501,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_502,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_503,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_504,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_505,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_506,type,
    gcd_lcm_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_507,type,
    gcd_lcm_int: int > fun_int_int ).

tff(func_def_508,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_509,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_510,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_511,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_512,type,
    abs_abs_int: fun_int_int ).

tff(func_def_513,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_514,type,
    abs_abs_real: fun_real_real ).

tff(func_def_515,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_516,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_517,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_518,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_519,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_520,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_521,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_522,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_523,type,
    minus_925952699566721837d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_524,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_525,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_526,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_527,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_528,type,
    minus_5423061390740260265x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_529,type,
    minus_396011825176962637t_bool: ( fun_Ex8563670519792538868t_bool * fun_Ex8563670519792538868t_bool ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_530,type,
    minus_7727386867957376939t_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_531,type,
    minus_8064998606961450743t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_532,type,
    minus_1628305797571225351t_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_533,type,
    minus_6582619742941512235l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_534,type,
    one_one_Code_integer: code_integer ).

tff(func_def_535,type,
    one_one_complex: complex ).

tff(func_def_536,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_537,type,
    one_one_int: int ).

tff(func_def_538,type,
    one_one_nat: nat ).

tff(func_def_539,type,
    one_one_rat: rat ).

tff(func_def_540,type,
    one_one_real: real ).

tff(func_def_541,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_542,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_543,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_544,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_545,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_546,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_547,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_548,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_549,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_550,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_551,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_552,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_553,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_554,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_555,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_556,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_557,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_558,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_559,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_560,type,
    times_times_num: num > fun_num_num ).

tff(func_def_561,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_562,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_563,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_564,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_565,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_566,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_567,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_568,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_569,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_570,type,
    zero_zero_complex: complex ).

tff(func_def_571,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_572,type,
    zero_zero_int: int ).

tff(func_def_573,type,
    zero_zero_nat: nat ).

tff(func_def_574,type,
    zero_zero_rat: rat ).

tff(func_def_575,type,
    zero_zero_real: real ).

tff(func_def_576,type,
    zero_zero_literal: literal ).

tff(func_def_577,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_578,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_579,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_580,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_581,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_582,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_583,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_584,type,
    groups4622424608036095791omplex: ( fun_Ex3741802288643809319omplex * set_Extended_enat ) > complex ).

tff(func_def_585,type,
    groups2878480467620962989at_int: ( fun_Ex3482447378695272101at_int * set_Extended_enat ) > int ).

tff(func_def_586,type,
    groups2880970938130013265at_nat: ( fun_Ex7660298398204468809at_nat * set_Extended_enat ) > nat ).

tff(func_def_587,type,
    groups2245840878043517529at_rat: ( fun_Ex4152069839811072081at_rat * set_Extended_enat ) > rat ).

tff(func_def_588,type,
    groups97031904164794029t_real: ( fun_Ex1451620480498224165t_real * set_Extended_enat ) > real ).

tff(func_def_589,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_590,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_591,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_592,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_593,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_594,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_595,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_596,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_597,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_598,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_599,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_600,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_601,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_602,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_603,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_604,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_605,type,
    the_int: fun_int_bool > int ).

tff(func_def_606,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_607,type,
    the_real: fun_real_bool > real ).

tff(func_def_608,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_609,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_610,type,
    if_Extended_enat: ( bool * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_611,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_612,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_613,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_614,type,
    if_option_nat: ( bool * option_nat * option_nat ) > option_nat ).

tff(func_def_615,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_616,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_617,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_618,type,
    if_rat: ( bool * rat ) > fun_rat_rat ).

tff(func_def_619,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_620,type,
    if_VEBT_VEBT: ( bool * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_621,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_622,type,
    if_fun_nat_rat: ( bool * fun_nat_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_623,type,
    if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).

tff(func_def_624,type,
    if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_625,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_626,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_627,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_628,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_629,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_630,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_631,type,
    nat2: fun_int_nat ).

tff(func_def_632,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_633,type,
    power_int_real: real > fun_int_real ).

tff(func_def_634,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_635,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_636,type,
    ring_1_Ints_int: set_int ).

tff(func_def_637,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_638,type,
    ring_1_Ints_real: set_real ).

tff(func_def_639,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_640,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_641,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_642,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_643,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_644,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_645,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_646,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_647,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_648,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_649,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_650,type,
    lattic921264341876707157d_enat: set_Extended_enat > extended_enat ).

tff(func_def_651,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_652,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_653,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_654,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_655,type,
    last_nat: list_nat > nat ).

tff(func_def_656,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_657,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_658,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_659,type,
    nil_int: list_int ).

tff(func_def_660,type,
    nil_nat: list_nat ).

tff(func_def_661,type,
    hd_nat: list_nat > nat ).

tff(func_def_662,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_663,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_664,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_665,type,
    set_Extended_enat2: list_Extended_enat > set_Extended_enat ).

tff(func_def_666,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_667,type,
    set_int2: list_int > set_int ).

tff(func_def_668,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_669,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_670,type,
    set_real2: list_real > set_real ).

tff(func_def_671,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_672,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_673,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_674,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_675,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_676,type,
    nth_Extended_enat: ( list_Extended_enat * nat ) > extended_enat ).

tff(func_def_677,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_678,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_679,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_680,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_681,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_682,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_683,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_684,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_685,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_686,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_687,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_688,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_689,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_690,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_691,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_692,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_693,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_694,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_695,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_696,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_697,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_698,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_699,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_700,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_701,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_702,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_703,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_704,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_705,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_706,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_707,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_708,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_709,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_710,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_711,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_712,type,
    upto: ( int * int ) > list_int ).

tff(func_def_713,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_714,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_715,type,
    suc: fun_nat_nat ).

tff(func_def_716,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_717,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_718,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_719,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_720,type,
    pred: fun_nat_nat ).

tff(func_def_721,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_722,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_723,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_724,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_725,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_726,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_727,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_728,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_729,type,
    size_s3941691890525107288d_enat: list_Extended_enat > nat ).

tff(func_def_730,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_731,type,
    size_size_list_int: list_int > nat ).

tff(func_def_732,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_733,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_734,type,
    size_size_list_num: list_num > nat ).

tff(func_def_735,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_736,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_737,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_738,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_739,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_740,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_741,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_742,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_743,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_744,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_745,type,
    size_size_list_real: list_real > nat ).

tff(func_def_746,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_747,type,
    size_size_num: fun_num_nat ).

tff(func_def_748,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_749,type,
    nat_list_decode: nat > list_nat ).

tff(func_def_750,type,
    nat_list_decode_rel: fun_nat_fun_nat_bool ).

tff(func_def_751,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_752,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_753,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

tff(func_def_754,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_755,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_756,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_757,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_758,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_759,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_760,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_761,type,
    sqrt: fun_real_real ).

tff(func_def_762,type,
    bitM: fun_num_num ).

tff(func_def_763,type,
    inc: fun_num_num ).

tff(func_def_764,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_765,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_766,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_767,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_768,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_769,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_770,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_771,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_772,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_773,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_774,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_775,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_776,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_777,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_778,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_779,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_780,type,
    bit0: fun_num_num ).

tff(func_def_781,type,
    bit1: fun_num_num ).

tff(func_def_782,type,
    one: num ).

tff(func_def_783,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_784,type,
    size_num: fun_num_nat ).

tff(func_def_785,type,
    num_of_nat: fun_nat_num ).

tff(func_def_786,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_787,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_788,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_789,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_790,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_791,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_792,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_793,type,
    pow: num > fun_num_num ).

tff(func_def_794,type,
    pred_numeral: fun_num_nat ).

tff(func_def_795,type,
    sqr: fun_num_num ).

tff(func_def_796,type,
    none_nat: option_nat ).

tff(func_def_797,type,
    none_num: option_num ).

tff(func_def_798,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_799,type,
    some_nat: nat > option_nat ).

tff(func_def_800,type,
    some_num: num > option_num ).

tff(func_def_801,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_802,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_803,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_804,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_805,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_806,type,
    the_nat: option_nat > nat ).

tff(func_def_807,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_808,type,
    bot_bot_nat: nat ).

tff(func_def_809,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_810,type,
    bot_bot_set_int: set_int ).

tff(func_def_811,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_812,type,
    bot_bot_set_num: set_num ).

tff(func_def_813,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_814,type,
    bot_bot_set_real: set_real ).

tff(func_def_815,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_816,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_817,type,
    ord_Le1955565732374568822d_enat: fun_Ex8563670519792538868t_bool > extended_enat ).

tff(func_def_818,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_819,type,
    ord_Least_real: fun_real_bool > real ).

tff(func_def_820,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_821,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_822,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_823,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_824,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_825,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_826,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_827,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_828,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_829,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_830,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_831,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_832,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_833,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_834,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_835,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_836,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_837,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_838,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_839,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_840,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_841,type,
    top_to3028658606643905974d_enat: extended_enat ).

tff(func_def_842,type,
    top_top_set_bool: set_bool ).

tff(func_def_843,type,
    top_top_set_nat: set_nat ).

tff(func_def_844,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_845,type,
    top_top_set_real: set_real ).

tff(func_def_846,type,
    top_top_set_char: set_char ).

tff(func_def_847,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_848,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_849,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_850,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_851,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_852,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_853,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_854,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_855,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_856,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_857,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_858,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_859,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_860,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_861,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_862,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_863,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_864,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_865,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_866,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_867,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_868,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_869,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_870,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_871,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_872,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_873,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_874,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_875,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_876,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_877,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_878,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_879,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_880,type,
    produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).

tff(func_def_881,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_882,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_883,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_884,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_885,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_886,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_887,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_888,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_889,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_890,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_891,type,
    produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).

tff(func_def_892,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_893,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_894,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_895,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_896,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_897,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_898,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_899,type,
    fract: int > fun_int_rat ).

tff(func_def_900,type,
    frct: product_prod_int_int > rat ).

tff(func_def_901,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_902,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_903,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_904,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_905,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_906,type,
    positive: fun_rat_bool ).

tff(func_def_907,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_908,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_909,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_910,type,
    cr_real: fun_fu990398353789569848l_bool ).

tff(func_def_911,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_912,type,
    positive2: fun_real_bool ).

tff(func_def_913,type,
    realrel: fun_fu2636726645394866687t_bool ).

tff(func_def_914,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_915,type,
    vanishes: fun_nat_rat > bool ).

tff(func_def_916,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_917,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_918,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_919,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_920,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_921,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_922,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_923,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_924,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_925,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_926,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_927,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_928,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_929,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_930,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_931,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_932,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_933,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_934,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_935,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_936,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_937,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_938,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_939,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_940,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_941,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_942,type,
    zero_n356916108424825756nteger: bool > code_integer ).

tff(func_def_943,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_944,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_945,type,
    zero_n2687167440665602831ol_nat: bool > nat ).

tff(func_def_946,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_947,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_948,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_949,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_950,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_951,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_952,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_953,type,
    collec4429806609662206161d_enat: fun_Ex8563670519792538868t_bool > set_Extended_enat ).

tff(func_def_954,type,
    collect_bool: fun_bool_bool > set_bool ).

tff(func_def_955,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_956,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_957,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_958,type,
    collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).

tff(func_def_959,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_960,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_961,type,
    collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).

tff(func_def_962,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_963,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_bool > set_VEBT_VEBT ).

tff(func_def_964,type,
    image_80655429650038917d_enat: ( fun_Ex5852502975177633731d_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_965,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_966,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_967,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_968,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_969,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_970,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_971,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_972,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_973,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_974,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_975,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_976,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_977,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_978,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_979,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_980,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_981,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_982,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_983,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_984,type,
    set_or5403411693681687835d_enat: ( extended_enat * extended_enat ) > set_Extended_enat ).

tff(func_def_985,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_986,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_987,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_988,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_989,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_990,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_991,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_992,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_993,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_994,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_995,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_996,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_997,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_998,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_999,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1000,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1001,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1002,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1003,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1004,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1005,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_1006,type,
    literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).

tff(func_def_1007,type,
    ascii_of: char > char ).

tff(func_def_1008,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1009,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1010,type,
    integer_of_char: char > code_integer ).

tff(func_def_1011,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1012,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1013,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1014,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1015,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1016,type,
    arccos: fun_real_real ).

tff(func_def_1017,type,
    arcosh_real: fun_real_real ).

tff(func_def_1018,type,
    arcsin: fun_real_real ).

tff(func_def_1019,type,
    arctan: fun_real_real ).

tff(func_def_1020,type,
    arsinh_real: fun_real_real ).

tff(func_def_1021,type,
    artanh_real: fun_real_real ).

tff(func_def_1022,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1023,type,
    cos_real: fun_real_real ).

tff(func_def_1024,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1025,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1026,type,
    cosh_real: fun_real_real ).

tff(func_def_1027,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1028,type,
    cot_real: fun_real_real ).

tff(func_def_1029,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1030,type,
    exp_real: fun_real_real ).

tff(func_def_1031,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1032,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1033,type,
    pi: real ).

tff(func_def_1034,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1035,type,
    powr_real2: fun_re7681423839302404990l_real ).

tff(func_def_1036,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1037,type,
    sin_real: fun_real_real ).

tff(func_def_1038,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1039,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1040,type,
    sinh_real: fun_real_real ).

tff(func_def_1041,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1042,type,
    tan_real: fun_real_real ).

tff(func_def_1043,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1044,type,
    tanh_real: fun_real_real ).

tff(func_def_1045,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1046,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1047,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1048,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1049,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1050,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1051,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1052,type,
    vEBT_V312737461966249ad_rel: fun_Pr5442483421567724333t_bool ).

tff(func_def_1053,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1054,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1055,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1056,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1057,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1058,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1059,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1060,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1061,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1062,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1063,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1064,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1065,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1066,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1067,type,
    vEBT_vebt_insert_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1068,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1069,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

tff(func_def_1070,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1071,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1072,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1073,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1074,type,
    vEBT_VEBT_less: ( option_nat * option_nat ) > bool ).

tff(func_def_1075,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_bool ).

tff(func_def_1076,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_bool ).

tff(func_def_1077,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1078,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1079,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1080,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1081,type,
    vEBT_vebt_maxt_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1082,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1083,type,
    vEBT_vebt_mint_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1084,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_1085,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1086,type,
    vEBT_vebt_succ_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1087,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_1088,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1089,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1090,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_1091,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1092,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1093,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1094,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1095,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1096,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1097,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1098,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1099,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1100,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1101,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1102,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1103,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1104,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1105,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1106,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1107,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1108,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1109,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1110,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1111,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1112,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1113,type,
    aa_Ext8748583412541189208omplex: ( fun_Ex3741802288643809319omplex * extended_enat ) > complex ).

tff(func_def_1114,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1115,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_1116,type,
    aa_Extended_enat_nat: ( fun_Ex7660298398204468809at_nat * extended_enat ) > nat ).

tff(func_def_1117,type,
    aa_Extended_enat_rat: ( fun_Ex4152069839811072081at_rat * extended_enat ) > rat ).

tff(func_def_1118,type,
    aa_Ext2541572767299617110t_real: ( fun_Ex1451620480498224165t_real * extended_enat ) > real ).

tff(func_def_1119,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1120,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1121,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1122,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1123,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1124,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1125,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1126,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1127,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1128,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1129,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1130,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1131,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1132,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1133,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1134,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1135,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1136,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1137,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1138,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1139,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1140,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1141,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1142,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1143,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1144,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1145,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1146,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1147,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1148,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1149,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1150,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1151,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1152,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1153,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1154,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1155,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1156,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1157,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1158,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1159,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1160,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1161,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1162,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1163,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1164,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1165,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1166,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1167,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1168,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1169,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1170,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1171,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1172,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1173,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1174,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1175,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1176,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1177,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1178,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1179,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1180,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1181,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1182,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1183,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1184,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1185,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1186,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1187,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1188,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1189,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1190,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1191,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1192,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1193,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1194,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1195,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1196,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1197,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1198,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1199,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1200,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1201,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1202,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1203,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1204,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1205,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1206,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1207,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1208,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1209,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1210,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1211,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1212,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1213,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1214,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1215,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1216,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1217,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1218,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1219,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1220,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1221,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1222,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1223,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1224,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1225,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1226,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1227,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1228,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1229,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1230,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1231,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1232,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1233,type,
    aa_set3741564773079358752x_bool: ( fun_se2973560062716774839x_bool * set_complex ) > fun_complex_bool ).

tff(func_def_1234,type,
    aa_set3329637325543298558t_bool: ( fun_se6358542376187484365t_bool * set_Extended_enat ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_1235,type,
    aa_set7012339369581096484t_bool: ( fun_se6612071603986899387t_bool * set_int ) > fun_int_bool ).

tff(func_def_1236,type,
    aa_set257547205302447420t_bool: ( fun_se7035039998181355731t_bool * set_list_nat ) > fun_list_nat_bool ).

tff(func_def_1237,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1238,type,
    aa_set3744802623701456604t_bool: ( fun_se680526843285281907t_bool * set_nat ) > fun_nat_bool ).

tff(func_def_1239,type,
    aa_set8565328311858951076l_bool: ( fun_se2197967325210717499l_bool * set_real ) > fun_real_bool ).

tff(func_def_1240,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1241,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1242,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1243,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1244,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1245,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1246,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1247,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1248,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1249,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1250,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1251,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1252,type,
    aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).

tff(func_def_1253,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1254,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1255,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1256,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_1257,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1258,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1259,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1260,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1261,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_1262,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1263,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1264,type,
    aa_fun5258240734392065441l_bool: ( fun_fu990398353789569848l_bool * fun_nat_rat ) > fun_real_bool ).

tff(func_def_1265,type,
    aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).

tff(func_def_1266,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1267,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1268,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1269,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1270,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1271,type,
    aa_fun9137951878280015556l_bool: ( fun_fu7307090382573344987l_bool * fun_real_real ) > bool ).

tff(func_def_1272,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_1273,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1274,type,
    aa_fun7221085148252759141l_bool: ( fun_fu8602805464270671924l_bool * fun_fun_nat_rat_bool ) > fun_fu7511176317168184086l_bool ).

tff(func_def_1275,type,
    aa_fun1696419067750587730t_bool: ( fun_fu8308374331699588969t_bool * fun_fu8328862064278946247at_rat ) > bool ).

tff(func_def_1276,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1277,type,
    aa_fun9159459243913713430l_bool: ( fun_fu762719556336274221l_bool * fun_fu8328862064278946247at_rat ) > fun_fu7307090382573344987l_bool ).

tff(func_def_1278,type,
    aa_fun4901480949278917796t_bool: ( fun_fu4669108322068655547t_bool * fun_fu8328862064278946247at_rat ) > fun_fu8308374331699588969t_bool ).

tff(func_def_1279,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1280,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1281,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1282,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1283,type,
    fFalse: bool ).

tff(func_def_1284,type,
    fNot: fun_bool_bool ).

tff(func_def_1285,type,
    fTrue: bool ).

tff(func_def_1286,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1287,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1288,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1289,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1290,type,
    fequal_Extended_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1291,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1292,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1293,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1294,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1295,type,
    fequal_option_nat: ( option_nat * option_nat ) > bool ).

tff(func_def_1296,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1297,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1298,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1299,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1300,type,
    deg: nat ).

tff(func_def_1301,type,
    m: nat ).

tff(func_def_1302,type,
    ma: nat ).

tff(func_def_1303,type,
    mi: nat ).

tff(func_def_1304,type,
    miny: nat ).

tff(func_def_1305,type,
    na: nat ).

tff(func_def_1306,type,
    res: nat ).

tff(func_def_1307,type,
    sc: nat ).

tff(func_def_1308,type,
    summary: vEBT_VEBT ).

tff(func_def_1309,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1310,type,
    xa: nat ).

tff(func_def_1311,type,
    za: nat ).

tff(func_def_1312,type,
    sK153: fun_nat_bool > nat ).

tff(func_def_1313,type,
    sK154: fun_nat_bool > nat ).

tff(func_def_1314,type,
    sK155: fun_nat_bool > nat ).

tff(func_def_1315,type,
    sK156: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1316,type,
    sK157: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1317,type,
    sK158: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1318,type,
    sK159: ( nat * nat ) > nat ).

tff(func_def_1319,type,
    sK160: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1320,type,
    sK161: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1321,type,
    sK162: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1322,type,
    sK163: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1323,type,
    sK164: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1324,type,
    sK165: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1325,type,
    sK166: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1326,type,
    sK167: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1327,type,
    sK168: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1328,type,
    sK169: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1329,type,
    sK170: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1330,type,
    sK171: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1331,type,
    sK172: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1332,type,
    sK173: vEBT_VEBT > nat ).

tff(func_def_1333,type,
    sK174: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1334,type,
    sK175: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1335,type,
    sK176: vEBT_VEBT > nat ).

tff(func_def_1336,type,
    sK177: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1337,type,
    sK178: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1338,type,
    sK179: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_1339,type,
    sK180: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_1340,type,
    sK181: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1341,type,
    sK182: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1342,type,
    sK183: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1343,type,
    sK184: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_1344,type,
    sK185: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_1345,type,
    sK186: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1346,type,
    sK187: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1347,type,
    sK188: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1348,type,
    sK189: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1349,type,
    sK190: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1350,type,
    sK191: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1351,type,
    sK192: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1352,type,
    sK193: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1353,type,
    sK194: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1354,type,
    sK195: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1355,type,
    sK196: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1356,type,
    sK197: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1357,type,
    sK198: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1358,type,
    sK199: nat ).

tff(func_def_1359,type,
    sK200: fun_nat_bool > nat ).

tff(func_def_1360,type,
    sK201: fun_nat_fun_nat_bool > nat ).

tff(func_def_1361,type,
    sK202: fun_nat_fun_nat_bool > nat ).

tff(func_def_1362,type,
    sK203: fun_nat_fun_nat_bool > nat ).

tff(func_def_1363,type,
    sK204: fun_nat_fun_nat_bool > nat ).

tff(func_def_1364,type,
    sK205: fun_nat_fun_nat_bool > nat ).

tff(func_def_1365,type,
    sK206: nat > nat ).

tff(func_def_1366,type,
    sK207: fun_nat_bool > nat ).

tff(func_def_1367,type,
    sK208: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1368,type,
    sK209: ( nat * nat ) > nat ).

tff(func_def_1369,type,
    sK210: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1370,type,
    sK211: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1371,type,
    sK212: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1372,type,
    sK213: nat > nat ).

tff(func_def_1373,type,
    sK214: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1374,type,
    sK215: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1375,type,
    sK216: nat > nat ).

tff(func_def_1376,type,
    sK217: ( nat * nat ) > nat ).

tff(func_def_1377,type,
    sK218: ( nat * nat ) > nat ).

tff(func_def_1378,type,
    sK219: ( nat * real ) > real ).

tff(func_def_1379,type,
    sK220: ( nat * real ) > real ).

tff(func_def_1380,type,
    sK221: fun_nat_bool > nat ).

tff(func_def_1381,type,
    sK222: nat > nat ).

tff(func_def_1382,type,
    sK223: fun_nat_bool > nat ).

tff(func_def_1383,type,
    sK224: fun_nat_fun_nat_bool > nat ).

tff(func_def_1384,type,
    sK225: fun_nat_fun_nat_bool > nat ).

tff(func_def_1385,type,
    sK226: fun_nat_fun_nat_bool > nat ).

tff(func_def_1386,type,
    sK227: fun_nat_fun_nat_bool > nat ).

tff(func_def_1387,type,
    sK228: fun_nat_bool > nat ).

tff(func_def_1388,type,
    sK229: nat > nat ).

tff(func_def_1389,type,
    sK230: nat > nat ).

tff(func_def_1390,type,
    sK231: ( real * nat ) > real ).

tff(func_def_1391,type,
    sK232: ( nat * nat ) > nat ).

tff(func_def_1392,type,
    sK233: ( nat * nat ) > nat ).

tff(func_def_1393,type,
    sK234: ( nat * nat ) > nat ).

tff(func_def_1394,type,
    sK235: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1395,type,
    sK236: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1396,type,
    sK237: fun_nat_int > nat ).

tff(func_def_1397,type,
    sK238: fun_nat_nat > nat ).

tff(func_def_1398,type,
    sK239: fun_nat_rat > nat ).

tff(func_def_1399,type,
    sK240: fun_nat_int > nat ).

tff(func_def_1400,type,
    sK241: fun_nat_nat > nat ).

tff(func_def_1401,type,
    sK242: fun_nat_rat > nat ).

tff(func_def_1402,type,
    sK243: fun_nat_int > nat ).

tff(func_def_1403,type,
    sK244: fun_nat_nat > nat ).

tff(func_def_1404,type,
    sK245: fun_nat_rat > nat ).

tff(func_def_1405,type,
    sK246: fun_nat_real > nat ).

tff(func_def_1406,type,
    sK247: fun_nat_int > nat ).

tff(func_def_1407,type,
    sK248: fun_nat_nat > nat ).

tff(func_def_1408,type,
    sK249: fun_nat_rat > nat ).

tff(func_def_1409,type,
    sK250: fun_nat_real > nat ).

tff(func_def_1410,type,
    sK251: fun_nat_bool > nat ).

tff(func_def_1411,type,
    sK252: fun_nat_fun_nat_bool > nat ).

tff(func_def_1412,type,
    sK253: fun_nat_fun_nat_bool > nat ).

tff(func_def_1413,type,
    sK254: fun_nat_fun_nat_bool > nat ).

tff(func_def_1414,type,
    sK255: fun_nat_fun_nat_bool > nat ).

tff(func_def_1415,type,
    sK256: fun_nat_fun_nat_bool > nat ).

tff(func_def_1416,type,
    sK257: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1417,type,
    sK258: fun_nat_bool > nat ).

tff(func_def_1418,type,
    sK259: nat > nat ).

tff(func_def_1419,type,
    sK260: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1420,type,
    sK261: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1421,type,
    sK262: fun_nat_fun_nat_bool > nat ).

tff(func_def_1422,type,
    sK263: fun_nat_fun_nat_bool > nat ).

tff(func_def_1423,type,
    sK264: fun_nat_fun_nat_bool > nat ).

tff(func_def_1424,type,
    sK265: fun_nat_fun_nat_bool > nat ).

tff(func_def_1425,type,
    sK266: ( nat * nat ) > nat ).

tff(func_def_1426,type,
    sK267: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1427,type,
    sK268: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1428,type,
    sK269: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1429,type,
    sK270: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1430,type,
    sK271: ( nat * nat ) > nat ).

tff(func_def_1431,type,
    sK272: ( nat * nat ) > nat ).

tff(func_def_1432,type,
    sK273: nat > nat ).

tff(func_def_1433,type,
    sK274: nat > nat ).

tff(func_def_1434,type,
    sK275: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1435,type,
    sK276: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1436,type,
    sK277: fun_nat_rat > nat ).

tff(func_def_1437,type,
    sK278: fun_nat_rat > nat ).

tff(func_def_1438,type,
    sK279: fun_nat_real > nat ).

tff(func_def_1439,type,
    sK280: fun_nat_real > nat ).

tff(func_def_1440,type,
    sK281: fun_nat_rat > nat ).

tff(func_def_1441,type,
    sK282: fun_nat_rat > nat ).

tff(func_def_1442,type,
    sK283: fun_nat_real > nat ).

tff(func_def_1443,type,
    sK284: fun_nat_real > nat ).

tff(func_def_1444,type,
    sK285: fun_nat_rat > nat ).

tff(func_def_1445,type,
    sK286: fun_nat_rat > nat ).

tff(func_def_1446,type,
    sK287: fun_nat_real > nat ).

tff(func_def_1447,type,
    sK288: fun_nat_real > nat ).

tff(func_def_1448,type,
    sK289: fun_nat_fun_nat_bool > nat ).

tff(func_def_1449,type,
    sK290: fun_nat_fun_nat_bool > nat ).

tff(func_def_1450,type,
    sK291: fun_nat_fun_nat_bool > nat ).

tff(func_def_1451,type,
    sK292: fun_nat_fun_nat_bool > nat ).

tff(func_def_1452,type,
    sK293: fun_nat_fun_nat_bool > nat ).

tff(func_def_1453,type,
    sK294: fun_nat_bool > nat ).

tff(func_def_1454,type,
    sK295: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1455,type,
    sK296: fun_nat_bool > nat ).

tff(func_def_1456,type,
    sK297: fun_nat_bool > nat ).

tff(func_def_1457,type,
    sK298: nat > nat ).

tff(func_def_1458,type,
    sK299: ( nat * nat ) > nat ).

tff(func_def_1459,type,
    sK300: ( nat * nat ) > nat ).

tff(func_def_1460,type,
    sK301: ( nat * nat ) > nat ).

tff(func_def_1461,type,
    sK302: ( nat * nat ) > nat ).

tff(func_def_1462,type,
    sK303: nat > nat ).

tff(func_def_1463,type,
    sK304: nat > nat ).

tff(func_def_1464,type,
    sK305: nat > nat ).

tff(func_def_1465,type,
    sK306: nat > nat ).

tff(func_def_1466,type,
    sK307: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1467,type,
    sK308: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1468,type,
    sK309: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1469,type,
    sK310: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1470,type,
    sK311: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1471,type,
    sK312: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1472,type,
    sK313: nat > nat ).

tff(func_def_1473,type,
    sK314: nat > nat ).

tff(func_def_1474,type,
    sK315: nat > nat ).

tff(func_def_1475,type,
    sK316: nat > nat ).

tff(func_def_1476,type,
    sK317: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1477,type,
    sK318: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1478,type,
    sK319: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1479,type,
    sK320: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1480,type,
    sK321: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1481,type,
    sK322: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1482,type,
    sK323: nat > nat ).

tff(func_def_1483,type,
    sK324: nat > nat ).

tff(func_def_1484,type,
    sK325: nat > nat ).

tff(func_def_1485,type,
    sK326: nat > nat ).

tff(func_def_1486,type,
    sK327: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1487,type,
    sK328: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1488,type,
    sK329: fun_nat_nat > nat ).

tff(func_def_1489,type,
    sK330: fun_nat_nat > nat ).

tff(func_def_1490,type,
    sK331: fun_nat_nat > nat ).

tff(func_def_1491,type,
    sK332: fun_nat_nat > nat ).

tff(func_def_1492,type,
    sK333: fun_nat_bool > nat ).

tff(func_def_1493,type,
    sK334: fun_nat_bool > nat ).

tff(func_def_1494,type,
    sK335: ( nat * nat ) > nat ).

tff(func_def_1495,type,
    sK336: ( nat * nat ) > nat ).

tff(func_def_1496,type,
    sK337: fun_nat_fun_nat_bool > nat ).

tff(func_def_1497,type,
    sK338: fun_nat_fun_nat_bool > nat ).

tff(func_def_1498,type,
    sK339: fun_nat_fun_nat_bool > nat ).

tff(func_def_1499,type,
    sK340: fun_nat_fun_nat_bool > nat ).

tff(func_def_1500,type,
    sK341: fun_nat_bool > nat ).

tff(func_def_1501,type,
    sK342: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1502,type,
    sK343: fun_nat_bool > nat ).

tff(func_def_1503,type,
    sK344: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1504,type,
    sK345: fun_int_bool > int ).

tff(func_def_1505,type,
    sK346: fun_int_bool > int ).

tff(func_def_1506,type,
    sK347: ( fun_int_bool * int ) > int ).

tff(func_def_1507,type,
    sK348: ( fun_int_bool * int ) > int ).

tff(func_def_1508,type,
    sK349: ( int * fun_int_bool ) > int ).

tff(func_def_1509,type,
    sK350: ( int * fun_int_bool ) > int ).

tff(func_def_1510,type,
    sK351: ( int * fun_int_bool ) > int ).

tff(func_def_1511,type,
    sK352: ( int * fun_int_bool ) > int ).

tff(func_def_1512,type,
    sK353: int > int ).

tff(func_def_1513,type,
    sK354: ( int * int ) > int ).

tff(func_def_1514,type,
    sK355: ( int * int ) > int ).

tff(func_def_1515,type,
    sK356: int > int ).

tff(func_def_1516,type,
    sK357: ( real * fun_real_bool ) > real ).

tff(func_def_1517,type,
    sK358: ( real * fun_real_bool ) > real ).

tff(func_def_1518,type,
    sK359: ( fun_real_bool * real ) > real ).

tff(func_def_1519,type,
    sK360: ( fun_real_bool * real ) > real ).

tff(func_def_1520,type,
    sK361: ( real * fun_real_bool ) > real ).

tff(func_def_1521,type,
    sK362: ( real * fun_real_bool ) > real ).

tff(func_def_1522,type,
    sK363: ( fun_real_bool * real ) > real ).

tff(func_def_1523,type,
    sK364: ( fun_real_bool * real ) > real ).

tff(func_def_1524,type,
    sK365: ( real * real ) > real ).

tff(func_def_1525,type,
    sK366: fun_re1255401033344146673l_bool > real ).

tff(func_def_1526,type,
    sK367: ( real * real ) > nat ).

tff(func_def_1527,type,
    sK368: ( real * real ) > nat ).

tff(func_def_1528,type,
    sK369: fun_real_real > real ).

tff(func_def_1529,type,
    sK370: fun_real_real > real ).

tff(func_def_1530,type,
    sK371: fun_real_real > real ).

tff(func_def_1531,type,
    sK372: fun_real_real > real ).

tff(func_def_1532,type,
    sK373: fun_real_real > real ).

tff(func_def_1533,type,
    sK374: fun_real_real > real ).

tff(func_def_1534,type,
    sK375: fun_real_real > real ).

tff(func_def_1535,type,
    sK376: fun_real_real > real ).

tff(func_def_1536,type,
    sK377: fun_real_real > real ).

tff(func_def_1537,type,
    sK378: fun_real_real > real ).

tff(func_def_1538,type,
    sK379: fun_real_real > real ).

tff(func_def_1539,type,
    sK380: fun_real_real > real ).

tff(func_def_1540,type,
    sK381: ( real * real ) > real ).

tff(func_def_1541,type,
    sK382: ( nat * nat ) > nat ).

tff(func_def_1542,type,
    sK383: ( nat * nat ) > nat ).

tff(func_def_1543,type,
    sK384: ( nat * nat ) > nat ).

tff(func_def_1544,type,
    sK385: ( nat * nat ) > nat ).

tff(func_def_1545,type,
    sK386: ( nat * nat ) > nat ).

tff(func_def_1546,type,
    sK387: ( nat * nat ) > nat ).

tff(func_def_1547,type,
    sK388: ( nat * nat * nat ) > nat ).

tff(func_def_1548,type,
    sK389: ( nat * nat * nat ) > nat ).

tff(func_def_1549,type,
    sK390: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1550,type,
    sK391: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1551,type,
    sK392: nat > nat ).

tff(func_def_1552,type,
    sK393: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1553,type,
    sK394: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1554,type,
    sK395: ( nat * nat * nat ) > nat ).

tff(func_def_1555,type,
    sK396: ( nat * nat * nat ) > nat ).

tff(func_def_1556,type,
    sK397: ( nat * nat * nat ) > nat ).

tff(func_def_1557,type,
    sK398: ( nat * nat * nat ) > nat ).

tff(func_def_1558,type,
    sK399: ( nat * nat * nat ) > nat ).

tff(func_def_1559,type,
    sK400: ( nat * nat ) > nat ).

tff(func_def_1560,type,
    sK401: ( nat * nat ) > nat ).

tff(func_def_1561,type,
    sK402: ( nat * nat ) > nat ).

tff(func_def_1562,type,
    sK403: ( nat * nat ) > nat ).

tff(func_def_1563,type,
    sK404: ( nat * nat ) > nat ).

tff(func_def_1564,type,
    sK405: ( nat * nat ) > nat ).

tff(func_def_1565,type,
    sK406: ( nat * nat ) > nat ).

tff(func_def_1566,type,
    sK407: ( nat * nat * nat ) > nat ).

tff(func_def_1567,type,
    sK408: ( nat * nat * nat ) > nat ).

tff(func_def_1568,type,
    sK409: ( nat * nat * nat ) > nat ).

tff(func_def_1569,type,
    sK410: ( nat * nat * nat ) > nat ).

tff(func_def_1570,type,
    sK411: nat > nat ).

tff(func_def_1571,type,
    sK412: ( nat * nat ) > nat ).

tff(func_def_1572,type,
    sK413: ( nat * nat ) > nat ).

tff(func_def_1573,type,
    sK414: ( nat * nat ) > nat ).

tff(func_def_1574,type,
    sK415: ( nat * nat ) > nat ).

tff(func_def_1575,type,
    sK416: ( real * real * real ) > real ).

tff(func_def_1576,type,
    sK417: ( real * real * real ) > real ).

tff(func_def_1577,type,
    sK418: ( real * real ) > real ).

tff(func_def_1578,type,
    sK419: ( real * real ) > real ).

tff(func_def_1579,type,
    sK420: ( fun_re1255401033344146673l_bool * real * real ) > real ).

tff(func_def_1580,type,
    sK421: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_1581,type,
    sK422: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_1582,type,
    sK423: fun_re1255401033344146673l_bool > real ).

tff(func_def_1583,type,
    sK424: fun_re1255401033344146673l_bool > real ).

tff(func_def_1584,type,
    sK425: fun_re1255401033344146673l_bool > real ).

tff(func_def_1585,type,
    sK426: real > real ).

tff(func_def_1586,type,
    sK427: real > real ).

tff(func_def_1587,type,
    sK428: real > real ).

tff(func_def_1588,type,
    sK429: real > real ).

tff(func_def_1589,type,
    sK430: fun_re1255401033344146673l_bool > real ).

tff(func_def_1590,type,
    sK431: fun_re1255401033344146673l_bool > real ).

tff(func_def_1591,type,
    sK432: fun_re1255401033344146673l_bool > real ).

tff(func_def_1592,type,
    sK433: fun_re1255401033344146673l_bool > real ).

tff(func_def_1593,type,
    sK434: fun_re1255401033344146673l_bool > real ).

tff(func_def_1594,type,
    sK435: ( real * real ) > real ).

tff(func_def_1595,type,
    sK436: real > real ).

tff(func_def_1596,type,
    sK437: real > real ).

tff(func_def_1597,type,
    sK438: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1598,type,
    sK439: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1599,type,
    sK440: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1600,type,
    sK441: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1601,type,
    sK442: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1602,type,
    sK443: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1603,type,
    sK444: real > real ).

tff(func_def_1604,type,
    sK445: real > real ).

tff(func_def_1605,type,
    sK446: real > real ).

tff(func_def_1606,type,
    sK447: real > real ).

tff(func_def_1607,type,
    sK448: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1608,type,
    sK449: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1609,type,
    sK450: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1610,type,
    sK451: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1611,type,
    sK452: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1612,type,
    sK453: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1613,type,
    sK454: real > real ).

tff(func_def_1614,type,
    sK455: real > real ).

tff(func_def_1615,type,
    sK456: real > real ).

tff(func_def_1616,type,
    sK457: real > real ).

tff(func_def_1617,type,
    sK458: ( real * real ) > real ).

tff(func_def_1618,type,
    sK459: real > real ).

tff(func_def_1619,type,
    sK460: real > real ).

tff(func_def_1620,type,
    sK461: fun_nat_rat > nat ).

tff(func_def_1621,type,
    sK462: fun_nat_rat > nat ).

tff(func_def_1622,type,
    sK463: fun_nat_rat > nat ).

tff(func_def_1623,type,
    sK464: fun_nat_rat > nat ).

tff(func_def_1624,type,
    sK465: fun_nat_rat > nat ).

tff(func_def_1625,type,
    sK466: fun_nat_rat > nat ).

tff(func_def_1626,type,
    sK467: fun_nat_rat > nat ).

tff(func_def_1627,type,
    sK468: fun_nat_rat > nat ).

tff(func_def_1628,type,
    sK469: real > nat ).

tff(func_def_1629,type,
    sK470: ( fun_nat_bool * int ) > nat ).

tff(func_def_1630,type,
    sK471: int > nat ).

tff(func_def_1631,type,
    sK472: int > nat ).

tff(func_def_1632,type,
    sK473: int > nat ).

tff(func_def_1633,type,
    sK474: int > nat ).

tff(func_def_1634,type,
    sK475: int > nat ).

tff(func_def_1635,type,
    sK476: int > nat ).

tff(func_def_1636,type,
    sK477: ( int * int ) > nat ).

tff(func_def_1637,type,
    sK478: int > nat ).

tff(func_def_1638,type,
    sK479: int > nat ).

tff(func_def_1639,type,
    sK480: ( int * int ) > nat ).

tff(func_def_1640,type,
    sK481: int > nat ).

tff(func_def_1641,type,
    sK482: int > nat ).

tff(func_def_1642,type,
    sK483: fun_int_bool > nat ).

tff(func_def_1643,type,
    sK484: fun_int_bool > nat ).

tff(func_def_1644,type,
    sK485: int > nat ).

tff(func_def_1645,type,
    sK486: int > nat ).

tff(func_def_1646,type,
    sK487: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1647,type,
    sK488: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1648,type,
    sK489: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1649,type,
    sK490: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1650,type,
    sK491: ( fun_int_bool * int * int ) > int ).

tff(func_def_1651,type,
    sK492: ( fun_int_bool * int * int ) > int ).

tff(func_def_1652,type,
    sK493: ( fun_int_bool * int * int ) > int ).

tff(func_def_1653,type,
    sK494: ( fun_int_bool * int * int ) > int ).

tff(func_def_1654,type,
    sK495: ( int * fun_int_bool ) > int ).

tff(func_def_1655,type,
    sK496: ( real * real * real ) > real ).

tff(func_def_1656,type,
    sK497: ( real * real * real ) > real ).

tff(func_def_1657,type,
    sK498: real > nat ).

tff(func_def_1658,type,
    sK499: real > nat ).

tff(func_def_1659,type,
    sK500: fun_real_bool > nat ).

tff(func_def_1660,type,
    sK501: fun_real_bool > real ).

tff(func_def_1661,type,
    sK502: fun_real_bool > real ).

tff(func_def_1662,type,
    sK503: fun_real_bool > nat ).

tff(func_def_1663,type,
    sK504: fun_real_bool > real ).

tff(func_def_1664,type,
    sK505: fun_real_bool > real ).

tff(func_def_1665,type,
    sK506: real > nat ).

tff(func_def_1666,type,
    sK507: real > nat ).

tff(func_def_1667,type,
    sK508: real > nat ).

tff(func_def_1668,type,
    sK509: real > nat ).

tff(func_def_1669,type,
    sK510: real > nat ).

tff(func_def_1670,type,
    sK511: real > nat ).

tff(func_def_1671,type,
    sK512: real > nat ).

tff(func_def_1672,type,
    sK513: real > nat ).

tff(func_def_1673,type,
    sK514: real > nat ).

tff(func_def_1674,type,
    sK515: ( real * real ) > nat ).

tff(func_def_1675,type,
    sK516: ( real * real ) > nat ).

tff(func_def_1676,type,
    sK517: ( real * real ) > nat ).

tff(func_def_1677,type,
    sK518: real > nat ).

tff(func_def_1678,type,
    sK519: real > nat ).

tff(func_def_1679,type,
    sK520: fun_nat_fun_nat_bool > nat ).

tff(func_def_1680,type,
    sK521: fun_nat_fun_nat_bool > nat ).

tff(func_def_1681,type,
    sK522: fun_nat_fun_nat_bool > nat ).

tff(func_def_1682,type,
    sK523: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1683,type,
    sK524: num > num ).

tff(func_def_1684,type,
    sK525: num > num ).

tff(func_def_1685,type,
    sK526: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1686,type,
    sK527: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1687,type,
    sK528: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1688,type,
    sK529: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1689,type,
    sK530: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1690,type,
    sK531: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1691,type,
    sK532: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1692,type,
    sK533: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_1693,type,
    sK534: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_1694,type,
    sK535: vEBT_VEBT > nat ).

tff(func_def_1695,type,
    sK536: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1696,type,
    sK537: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1697,type,
    sK538: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1698,type,
    sK539: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1699,type,
    sK540: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1700,type,
    sK541: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1701,type,
    sK542: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1702,type,
    sK543: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_1703,type,
    sK544: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_1704,type,
    sK545: vEBT_VEBT > nat ).

tff(func_def_1705,type,
    sK546: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1706,type,
    sK547: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1707,type,
    sK548: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1708,type,
    sK549: list_VEBT_VEBT > nat ).

tff(func_def_1709,type,
    sK550: vEBT_VEBT > nat ).

tff(func_def_1710,type,
    sK551: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1711,type,
    sK552: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1712,type,
    sK553: list_VEBT_VEBT > nat ).

tff(func_def_1713,type,
    sK554: vEBT_VEBT > nat ).

tff(func_def_1714,type,
    sK555: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1715,type,
    sK556: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1716,type,
    sK557: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1717,type,
    sK558: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1718,type,
    sK559: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1719,type,
    sK560: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1720,type,
    sK561: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1721,type,
    sK562: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1722,type,
    sK563: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1723,type,
    sK564: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1724,type,
    sK565: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1725,type,
    sK566: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1726,type,
    sK567: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1727,type,
    sK568: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1728,type,
    sK569: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1729,type,
    sK570: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1730,type,
    sK571: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1731,type,
    sK572: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1732,type,
    sK573: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1733,type,
    sK574: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1734,type,
    sK575: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1735,type,
    sK576: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1736,type,
    sK577: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1737,type,
    sK578: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1738,type,
    sK579: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1739,type,
    sK580: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1740,type,
    sK581: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1741,type,
    sK582: vEBT_VEBT > bool ).

tff(func_def_1742,type,
    sK583: vEBT_VEBT > bool ).

tff(func_def_1743,type,
    sK584: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1744,type,
    sK585: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1745,type,
    sK586: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1746,type,
    sK587: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1747,type,
    sK588: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1748,type,
    sK589: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1749,type,
    sK590: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1750,type,
    sK591: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1751,type,
    sK592: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1752,type,
    sK593: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1753,type,
    sK594: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1754,type,
    sK595: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1755,type,
    sK596: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1756,type,
    sK597: vEBT_VEBT > nat ).

tff(func_def_1757,type,
    sK598: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1758,type,
    sK599: list_VEBT_VEBT > nat ).

tff(func_def_1759,type,
    sK600: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1760,type,
    sK601: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1761,type,
    sK602: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1762,type,
    sK603: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1763,type,
    sK604: vEBT_VEBT > nat ).

tff(func_def_1764,type,
    sK605: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1765,type,
    sK606: list_VEBT_VEBT > nat ).

tff(func_def_1766,type,
    sK607: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1767,type,
    sK608: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1768,type,
    sK609: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1769,type,
    sK610: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1770,type,
    sK611: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1771,type,
    sK612: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1772,type,
    sK613: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1773,type,
    sK614: list_VEBT_VEBT > nat ).

tff(func_def_1774,type,
    sK615: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1775,type,
    sK616: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1776,type,
    sK617: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1777,type,
    sK618: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1778,type,
    sK619: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1779,type,
    sK620: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1780,type,
    sK621: list_VEBT_VEBT > nat ).

tff(func_def_1781,type,
    sK622: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1782,type,
    sK623: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1783,type,
    sK624: vEBT_VEBT > bool ).

tff(func_def_1784,type,
    sK625: vEBT_VEBT > bool ).

tff(func_def_1785,type,
    sK626: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1786,type,
    sK627: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1787,type,
    sK628: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1788,type,
    sK629: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1789,type,
    sK630: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1790,type,
    sK631: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1791,type,
    sK632: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1792,type,
    sK633: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1793,type,
    sK634: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1794,type,
    sK635: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1795,type,
    sK636: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1796,type,
    sK637: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1797,type,
    sK638: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1798,type,
    sK639: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1799,type,
    sK640: vEBT_VEBT > bool ).

tff(func_def_1800,type,
    sK641: vEBT_VEBT > bool ).

tff(func_def_1801,type,
    sK642: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1802,type,
    sK643: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1803,type,
    sK644: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1804,type,
    sK645: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1805,type,
    sK646: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1806,type,
    sK647: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1807,type,
    sK648: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1808,type,
    sK649: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1809,type,
    sK650: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1810,type,
    sK651: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_1811,type,
    sK652: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1812,type,
    sK653: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1813,type,
    sK654: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1814,type,
    sK655: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1815,type,
    sK656: vEBT_VEBT > bool ).

tff(func_def_1816,type,
    sK657: vEBT_VEBT > bool ).

tff(func_def_1817,type,
    sK658: produc9072475918466114483BT_nat > nat ).

tff(func_def_1818,type,
    sK659: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1819,type,
    sK660: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1820,type,
    sK661: produc9072475918466114483BT_nat > nat ).

tff(func_def_1821,type,
    sK662: produc9072475918466114483BT_nat > nat ).

tff(func_def_1822,type,
    sK663: produc9072475918466114483BT_nat > nat ).

tff(func_def_1823,type,
    sK664: produc9072475918466114483BT_nat > nat ).

tff(func_def_1824,type,
    sK665: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1825,type,
    sK666: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1826,type,
    sK667: produc9072475918466114483BT_nat > nat ).

tff(func_def_1827,type,
    sK668: produc9072475918466114483BT_nat > nat ).

tff(func_def_1828,type,
    sK669: produc9072475918466114483BT_nat > nat ).

tff(func_def_1829,type,
    sK670: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1830,type,
    sK671: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1831,type,
    sK672: produc9072475918466114483BT_nat > nat ).

tff(func_def_1832,type,
    sK673: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1833,type,
    sK674: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1834,type,
    sK675: produc9072475918466114483BT_nat > nat ).

tff(func_def_1835,type,
    sK676: produc9072475918466114483BT_nat > bool ).

tff(func_def_1836,type,
    sK677: produc9072475918466114483BT_nat > bool ).

tff(func_def_1837,type,
    sK678: produc9072475918466114483BT_nat > nat ).

tff(func_def_1838,type,
    sK679: produc9072475918466114483BT_nat > nat ).

tff(func_def_1839,type,
    sK680: produc9072475918466114483BT_nat > nat ).

tff(func_def_1840,type,
    sK681: produc9072475918466114483BT_nat > nat ).

tff(func_def_1841,type,
    sK682: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1842,type,
    sK683: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1843,type,
    sK684: produc9072475918466114483BT_nat > nat ).

tff(func_def_1844,type,
    sK685: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_1845,type,
    sK686: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1846,type,
    sK687: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1847,type,
    sK688: produc9072475918466114483BT_nat > nat ).

tff(func_def_1848,type,
    sK689: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_1849,type,
    sK690: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1850,type,
    sK691: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1851,type,
    sK692: produc9072475918466114483BT_nat > nat ).

tff(func_def_1852,type,
    sK693: produc9072475918466114483BT_nat > nat ).

tff(func_def_1853,type,
    sK694: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1854,type,
    sK695: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1855,type,
    sK696: produc9072475918466114483BT_nat > nat ).

tff(func_def_1856,type,
    sK697: produc9072475918466114483BT_nat > bool ).

tff(func_def_1857,type,
    sK698: produc9072475918466114483BT_nat > bool ).

tff(func_def_1858,type,
    sK699: produc9072475918466114483BT_nat > nat ).

tff(func_def_1859,type,
    sK700: produc9072475918466114483BT_nat > bool ).

tff(func_def_1860,type,
    sK701: produc9072475918466114483BT_nat > bool ).

tff(func_def_1861,type,
    sK702: produc9072475918466114483BT_nat > nat ).

tff(func_def_1862,type,
    sK703: produc9072475918466114483BT_nat > nat ).

tff(func_def_1863,type,
    sK704: produc9072475918466114483BT_nat > nat ).

tff(func_def_1864,type,
    sK705: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1865,type,
    sK706: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1866,type,
    sK707: produc9072475918466114483BT_nat > nat ).

tff(func_def_1867,type,
    sK708: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_1868,type,
    sK709: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1869,type,
    sK710: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1870,type,
    sK711: produc9072475918466114483BT_nat > nat ).

tff(func_def_1871,type,
    sK712: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_1872,type,
    sK713: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1873,type,
    sK714: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1874,type,
    sK715: produc9072475918466114483BT_nat > nat ).

tff(func_def_1875,type,
    sK716: produc9072475918466114483BT_nat > nat ).

tff(func_def_1876,type,
    sK717: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1877,type,
    sK718: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1878,type,
    sK719: produc9072475918466114483BT_nat > nat ).

tff(func_def_1879,type,
    sK720: produc9072475918466114483BT_nat > bool ).

tff(func_def_1880,type,
    sK721: produc9072475918466114483BT_nat > bool ).

tff(func_def_1881,type,
    sK722: produc9072475918466114483BT_nat > nat ).

tff(func_def_1882,type,
    sK723: produc9072475918466114483BT_nat > nat ).

tff(func_def_1883,type,
    sK724: produc9072475918466114483BT_nat > nat ).

tff(func_def_1884,type,
    sK725: produc9072475918466114483BT_nat > nat ).

tff(func_def_1885,type,
    sK726: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1886,type,
    sK727: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1887,type,
    sK728: produc9072475918466114483BT_nat > nat ).

tff(func_def_1888,type,
    sK729: produc9072475918466114483BT_nat > nat ).

tff(func_def_1889,type,
    sK730: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1890,type,
    sK731: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1891,type,
    sK732: produc9072475918466114483BT_nat > nat ).

tff(func_def_1892,type,
    sK733: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1893,type,
    sK734: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1894,type,
    sK735: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1895,type,
    sK736: produc9072475918466114483BT_nat > nat ).

tff(func_def_1896,type,
    sK737: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1897,type,
    sK738: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1898,type,
    sK739: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1899,type,
    sK740: produc9072475918466114483BT_nat > nat ).

tff(func_def_1900,type,
    sK741: produc9072475918466114483BT_nat > bool ).

tff(func_def_1901,type,
    sK742: produc9072475918466114483BT_nat > bool ).

tff(func_def_1902,type,
    sK743: produc9072475918466114483BT_nat > nat ).

tff(func_def_1903,type,
    sK744: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1904,type,
    sK745: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1905,type,
    sK746: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1906,type,
    sK747: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1907,type,
    sK748: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1908,type,
    sK749: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1909,type,
    sK750: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1910,type,
    sK751: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1911,type,
    sK752: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1912,type,
    sK753: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1913,type,
    sK754: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1914,type,
    sK755: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1915,type,
    sK756: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1916,type,
    sK757: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1917,type,
    sK758: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1918,type,
    sK759: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1919,type,
    sK760: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1920,type,
    sK761: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1921,type,
    sK762: list_VEBT_VEBT > nat ).

tff(func_def_1922,type,
    sK763: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1923,type,
    sK764: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1924,type,
    sK765: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1925,type,
    sK766: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1926,type,
    sK767: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1927,type,
    sK768: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1928,type,
    sK769: list_VEBT_VEBT > nat ).

tff(func_def_1929,type,
    sK770: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1930,type,
    sK771: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1931,type,
    sK772: produc9072475918466114483BT_nat > nat ).

tff(func_def_1932,type,
    sK773: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1933,type,
    sK774: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1934,type,
    sK775: produc9072475918466114483BT_nat > nat ).

tff(func_def_1935,type,
    sK776: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1936,type,
    sK777: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1937,type,
    sK778: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1938,type,
    sK779: produc9072475918466114483BT_nat > nat ).

tff(func_def_1939,type,
    sK780: produc9072475918466114483BT_nat > bool ).

tff(func_def_1940,type,
    sK781: produc9072475918466114483BT_nat > bool ).

tff(func_def_1941,type,
    sK782: produc9072475918466114483BT_nat > nat ).

tff(func_def_1942,type,
    sK783: vEBT_VEBT > bool ).

tff(func_def_1943,type,
    sK784: vEBT_VEBT > bool ).

tff(func_def_1944,type,
    sK785: vEBT_VEBT > bool ).

tff(func_def_1945,type,
    sK786: vEBT_VEBT > bool ).

tff(func_def_1946,type,
    sK787: vEBT_VEBT > bool ).

tff(func_def_1947,type,
    sK788: vEBT_VEBT > bool ).

tff(func_def_1948,type,
    sK789: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1949,type,
    sK790: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1950,type,
    sK791: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1951,type,
    sK792: nat ).

tff(func_def_1952,type,
    sK793: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1953,type,
    sK794: nat > nat ).

tff(func_def_1954,type,
    sK795: nat ).

tff(func_def_1955,type,
    sK796: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1956,type,
    sK797: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1957,type,
    sK798: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1958,type,
    sK799: ( option_nat * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1959,type,
    sK800: ( option_nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1960,type,
    sK801: nat > nat ).

tff(func_def_1961,type,
    sK802: vEBT_VEBT > bool ).

tff(func_def_1962,type,
    sK803: vEBT_VEBT > bool ).

tff(func_def_1963,type,
    sK804: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_1964,type,
    sK805: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_1965,type,
    sK806: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1966,type,
    sK807: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1967,type,
    sK808: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1968,type,
    sK809: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1969,type,
    sK810: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1970,type,
    sK811: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1971,type,
    sK812: vEBT_VEBT > nat ).

tff(func_def_1972,type,
    sK813: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1973,type,
    sK814: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1974,type,
    sK815: fun_int_fun_int_bool > int ).

tff(func_def_1975,type,
    sK816: fun_int_fun_int_bool > int ).

tff(func_def_1976,type,
    sK817: fun_int_fun_int_bool > int ).

tff(func_def_1977,type,
    sK818: fun_int_fun_int_bool > int ).

tff(func_def_1978,type,
    sK819: fun_int_fun_int_bool > int ).

tff(func_def_1979,type,
    sK820: fun_int_fun_int_bool > int ).

tff(func_def_1980,type,
    sK821: int > int ).

tff(func_def_1981,type,
    sK822: int > int ).

tff(func_def_1982,type,
    sK823: ( int * int ) > int ).

tff(func_def_1983,type,
    sK824: ( int * int ) > int ).

tff(func_def_1984,type,
    sK825: ( int * int ) > int ).

tff(func_def_1985,type,
    sK826: ( int * int ) > int ).

tff(func_def_1986,type,
    sK827: int > int ).

tff(func_def_1987,type,
    sK828: int > int ).

tff(func_def_1988,type,
    sK829: int > int ).

tff(func_def_1989,type,
    sK830: int > int ).

tff(func_def_1990,type,
    sK831: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1991,type,
    sK832: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1992,type,
    sK833: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1993,type,
    sK834: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1994,type,
    sK835: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1995,type,
    sK836: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1996,type,
    sK837: int > int ).

tff(func_def_1997,type,
    sK838: int > int ).

tff(func_def_1998,type,
    sK839: int > int ).

tff(func_def_1999,type,
    sK840: int > int ).

tff(func_def_2000,type,
    sK841: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2001,type,
    sK842: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2002,type,
    sK843: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2003,type,
    sK844: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2004,type,
    sK845: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2005,type,
    sK846: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2006,type,
    sK847: int > int ).

tff(func_def_2007,type,
    sK848: int > int ).

tff(func_def_2008,type,
    sK849: int > int ).

tff(func_def_2009,type,
    sK850: int > int ).

tff(func_def_2010,type,
    sK851: ( int * fun_int_bool ) > int ).

tff(func_def_2011,type,
    sK852: fun_int_bool > int ).

tff(func_def_2012,type,
    sK853: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2013,type,
    sK854: ( int * fun_int_bool ) > int ).

tff(func_def_2014,type,
    sK855: ( int * fun_int_bool ) > int ).

tff(func_def_2015,type,
    sK856: fun_int_bool > int ).

tff(func_def_2016,type,
    sK857: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2017,type,
    sK858: ( int * fun_int_bool ) > int ).

tff(func_def_2018,type,
    sK859: ( int * fun_int_bool ) > int ).

tff(func_def_2019,type,
    sK860: fun_int_fun_int_bool > int ).

tff(func_def_2020,type,
    sK861: fun_int_fun_int_bool > int ).

tff(func_def_2021,type,
    sK862: fun_int_fun_int_bool > int ).

tff(func_def_2022,type,
    sK863: fun_int_fun_int_bool > int ).

tff(func_def_2023,type,
    sK864: fun_rat_rat > rat ).

tff(func_def_2024,type,
    sK865: fun_rat_rat > rat ).

tff(func_def_2025,type,
    sK866: fun_rat_rat > rat ).

tff(func_def_2026,type,
    sK867: fun_rat_rat > rat ).

tff(func_def_2027,type,
    sK868: fun_rat_rat > rat ).

tff(func_def_2028,type,
    sK869: fun_rat_rat > rat ).

tff(func_def_2029,type,
    sK870: fun_rat_rat > rat ).

tff(func_def_2030,type,
    sK871: fun_rat_rat > rat ).

tff(func_def_2031,type,
    sK872: ( rat * rat * rat ) > rat ).

tff(func_def_2032,type,
    sK873: ( rat * rat * rat ) > rat ).

tff(func_def_2033,type,
    sK874: ( rat * rat ) > rat ).

tff(func_def_2034,type,
    sK875: ( rat * rat ) > rat ).

tff(func_def_2035,type,
    sK876: fun_rat_rat > rat ).

tff(func_def_2036,type,
    sK877: fun_rat_rat > rat ).

tff(func_def_2037,type,
    sK878: fun_rat_rat > rat ).

tff(func_def_2038,type,
    sK879: fun_rat_rat > rat ).

tff(func_def_2039,type,
    sK880: fun_rat_rat > rat ).

tff(func_def_2040,type,
    sK881: fun_rat_rat > rat ).

tff(func_def_2041,type,
    sK882: fun_rat_rat > rat ).

tff(func_def_2042,type,
    sK883: fun_rat_rat > rat ).

tff(func_def_2043,type,
    sK884: fun_rat_fun_rat_bool > rat ).

tff(func_def_2044,type,
    sK885: fun_rat_fun_rat_bool > rat ).

tff(func_def_2045,type,
    sK886: fun_rat_fun_rat_bool > rat ).

tff(func_def_2046,type,
    sK887: fun_rat_fun_rat_bool > rat ).

tff(func_def_2047,type,
    sK888: rat > rat ).

tff(func_def_2048,type,
    sK889: rat > rat ).

tff(func_def_2049,type,
    sK890: rat > rat ).

tff(func_def_2050,type,
    sK891: rat > rat ).

tff(func_def_2051,type,
    sK892: ( rat * rat ) > rat ).

tff(func_def_2052,type,
    sK893: ( rat * rat ) > rat ).

tff(func_def_2053,type,
    sK894: fun_rat_rat > rat ).

tff(func_def_2054,type,
    sK895: fun_rat_rat > rat ).

tff(func_def_2055,type,
    sK896: fun_rat_rat > rat ).

tff(func_def_2056,type,
    sK897: fun_rat_rat > rat ).

tff(func_def_2057,type,
    sK898: fun_rat_rat > rat ).

tff(func_def_2058,type,
    sK899: fun_rat_rat > rat ).

tff(func_def_2059,type,
    sK900: fun_rat_rat > rat ).

tff(func_def_2060,type,
    sK901: fun_rat_rat > rat ).

tff(func_def_2061,type,
    sK902: fun_rat_fun_rat_bool > rat ).

tff(func_def_2062,type,
    sK903: fun_rat_fun_rat_bool > rat ).

tff(func_def_2063,type,
    sK904: fun_rat_fun_rat_bool > rat ).

tff(func_def_2064,type,
    sK905: fun_rat_fun_rat_bool > rat ).

tff(func_def_2065,type,
    sK906: fun_rat_fun_rat_bool > rat ).

tff(func_def_2066,type,
    sK907: ( rat * rat ) > rat ).

tff(func_def_2067,type,
    sK908: rat > rat ).

tff(func_def_2068,type,
    sK909: rat > rat ).

tff(func_def_2069,type,
    sK910: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2070,type,
    sK911: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2071,type,
    sK912: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2072,type,
    sK913: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2073,type,
    sK914: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2074,type,
    sK915: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2075,type,
    sK916: rat > rat ).

tff(func_def_2076,type,
    sK917: rat > rat ).

tff(func_def_2077,type,
    sK918: rat > rat ).

tff(func_def_2078,type,
    sK919: rat > rat ).

tff(func_def_2079,type,
    sK920: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2080,type,
    sK921: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2081,type,
    sK922: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2082,type,
    sK923: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2083,type,
    sK924: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2084,type,
    sK925: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2085,type,
    sK926: rat > rat ).

tff(func_def_2086,type,
    sK927: rat > rat ).

tff(func_def_2087,type,
    sK928: rat > rat ).

tff(func_def_2088,type,
    sK929: rat > rat ).

tff(func_def_2089,type,
    sK930: ( rat * rat ) > rat ).

tff(func_def_2090,type,
    sK931: rat > rat ).

tff(func_def_2091,type,
    sK932: rat > rat ).

tff(func_def_2092,type,
    sK933: rat > rat ).

tff(func_def_2093,type,
    sK934: rat > rat ).

tff(func_def_2094,type,
    sK935: ( int * int * int ) > int ).

tff(func_def_2095,type,
    sK936: ( int * int * int ) > int ).

tff(func_def_2096,type,
    sK937: ( int * int * int ) > int ).

tff(func_def_2097,type,
    sK938: ( int * int * int ) > int ).

tff(func_def_2098,type,
    sK939: ( int * fun_int_bool ) > int ).

tff(func_def_2099,type,
    sK940: ( int * fun_int_bool ) > int ).

tff(func_def_2100,type,
    sK941: ( fun_int_bool * int ) > int ).

tff(func_def_2101,type,
    sK942: ( fun_int_bool * int ) > int ).

tff(func_def_2102,type,
    sK943: ( int * fun_int_bool ) > int ).

tff(func_def_2103,type,
    sK944: ( int * fun_int_bool ) > int ).

tff(func_def_2104,type,
    sK945: ( fun_int_bool * int ) > int ).

tff(func_def_2105,type,
    sK946: ( fun_int_bool * int ) > int ).

tff(func_def_2106,type,
    sK947: ( int * int ) > int ).

tff(func_def_2107,type,
    sK948: ( int * int ) > int ).

tff(func_def_2108,type,
    sK949: ( fun_int_bool * int * int ) > int ).

tff(func_def_2109,type,
    sK950: ( fun_int_bool * int * int ) > int ).

tff(func_def_2110,type,
    sK951: ( fun_int_bool * int * int ) > int ).

tff(func_def_2111,type,
    sK952: ( fun_int_bool * int * int ) > int ).

tff(func_def_2112,type,
    sK953: ( fun_int_bool * int ) > int ).

tff(func_def_2113,type,
    sK954: ( fun_int_bool * int ) > int ).

tff(func_def_2114,type,
    sK955: ( int * int ) > int ).

tff(func_def_2115,type,
    sK956: ( int * int ) > int ).

tff(func_def_2116,type,
    sK957: ( int * int * int ) > int ).

tff(func_def_2117,type,
    sK958: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2118,type,
    sK959: ( nat * fun_nat_int ) > nat ).

tff(func_def_2119,type,
    sK960: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2120,type,
    sK961: ( nat * fun_nat_int ) > nat ).

tff(func_def_2121,type,
    sK962: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_2122,type,
    sK963: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2123,type,
    sK964: real > int ).

tff(func_def_2124,type,
    sK965: real > int ).

tff(func_def_2125,type,
    sK966: ( fun_real_real * real * real ) > real ).

tff(func_def_2126,type,
    sK967: ( fun_real_real * real * real ) > real ).

tff(func_def_2127,type,
    sK968: ( fun_real_real * real * real ) > real ).

tff(func_def_2128,type,
    sK969: real > real ).

tff(func_def_2129,type,
    sK970: real > int ).

tff(func_def_2130,type,
    sK971: real > int ).

tff(func_def_2131,type,
    sK972: ( fun_int_bool * real ) > int ).

tff(func_def_2132,type,
    sK973: ( fun_int_bool * real ) > int ).

tff(func_def_2133,type,
    sK974: real > int ).

tff(func_def_2134,type,
    sK975: real > int ).

tff(func_def_2135,type,
    sK976: real > int ).

tff(func_def_2136,type,
    sK977: real > int ).

tff(func_def_2137,type,
    sK978: real > int ).

tff(func_def_2138,type,
    sK979: real > int ).

tff(func_def_2139,type,
    sK980: real > int ).

tff(func_def_2140,type,
    sK981: fun_int_real > int ).

tff(func_def_2141,type,
    sK982: fun_int_real > int ).

tff(func_def_2142,type,
    sK983: fun_int_real > int ).

tff(func_def_2143,type,
    sK984: fun_int_real > int ).

tff(func_def_2144,type,
    sK985: fun_int_real > int ).

tff(func_def_2145,type,
    sK986: fun_int_real > int ).

tff(func_def_2146,type,
    sK987: fun_rat_fun_rat_bool > rat ).

tff(func_def_2147,type,
    sK988: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2148,type,
    sK989: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2149,type,
    sK990: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2150,type,
    sK991: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2151,type,
    sK992: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2152,type,
    sK993: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2153,type,
    sK994: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2154,type,
    sK995: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2155,type,
    sK996: real > real ).

tff(func_def_2156,type,
    sK997: ( real * real ) > real ).

tff(func_def_2157,type,
    sK998: ( real * real ) > real ).

tff(func_def_2158,type,
    sK999: ( real * real ) > real ).

tff(func_def_2159,type,
    sK1000: real > real ).

tff(func_def_2160,type,
    sK1001: ( real * real ) > real ).

tff(func_def_2161,type,
    sK1002: real > real ).

tff(func_def_2162,type,
    sK1003: fun_real_int > real ).

tff(func_def_2163,type,
    sK1004: fun_real_int > real ).

tff(func_def_2164,type,
    sK1005: fun_real_int > real ).

tff(func_def_2165,type,
    sK1006: fun_real_int > real ).

tff(func_def_2166,type,
    sK1007: fun_real_int > real ).

tff(func_def_2167,type,
    sK1008: fun_real_int > real ).

tff(func_def_2168,type,
    sK1009: ( fun_int_bool * rat ) > int ).

tff(func_def_2169,type,
    sK1010: rat > int ).

tff(func_def_2170,type,
    sK1011: rat > nat ).

tff(func_def_2171,type,
    sK1012: rat > nat ).

tff(func_def_2172,type,
    sK1013: rat > nat ).

tff(func_def_2173,type,
    sK1014: ( rat * rat ) > nat ).

tff(func_def_2174,type,
    sK1015: rat > nat ).

tff(func_def_2175,type,
    sK1016: rat > nat ).

tff(func_def_2176,type,
    sK1017: fun_rat_int > rat ).

tff(func_def_2177,type,
    sK1018: fun_rat_int > rat ).

tff(func_def_2178,type,
    sK1019: fun_rat_int > rat ).

tff(func_def_2179,type,
    sK1020: fun_rat_int > rat ).

tff(func_def_2180,type,
    sK1021: fun_rat_int > rat ).

tff(func_def_2181,type,
    sK1022: fun_rat_int > rat ).

tff(func_def_2182,type,
    sK1023: fun_rat_int > rat ).

tff(func_def_2183,type,
    sK1024: fun_rat_int > rat ).

tff(func_def_2184,type,
    sK1025: fun_rat_int > rat ).

tff(func_def_2185,type,
    sK1026: fun_rat_int > rat ).

tff(func_def_2186,type,
    sK1027: fun_rat_int > rat ).

tff(func_def_2187,type,
    sK1028: fun_rat_int > rat ).

tff(func_def_2188,type,
    sK1029: fun_rat_int > rat ).

tff(func_def_2189,type,
    sK1030: fun_rat_int > rat ).

tff(func_def_2190,type,
    sK1031: fun_rat_int > rat ).

tff(func_def_2191,type,
    sK1032: fun_rat_int > rat ).

tff(func_def_2192,type,
    sK1033: ( fun_int_bool * rat ) > int ).

tff(func_def_2193,type,
    sK1034: rat > int ).

tff(func_def_2194,type,
    sK1035: rat > int ).

tff(func_def_2195,type,
    sK1036: rat > int ).

tff(func_def_2196,type,
    sK1037: rat > int ).

tff(func_def_2197,type,
    sK1038: rat > int ).

tff(func_def_2198,type,
    sK1039: rat > int ).

tff(func_def_2199,type,
    sK1040: fun_int_rat > int ).

tff(func_def_2200,type,
    sK1041: fun_int_rat > int ).

tff(func_def_2201,type,
    sK1042: fun_int_rat > int ).

tff(func_def_2202,type,
    sK1043: fun_int_rat > int ).

tff(func_def_2203,type,
    sK1044: fun_int_rat > int ).

tff(func_def_2204,type,
    sK1045: fun_int_rat > int ).

tff(func_def_2205,type,
    sK1046: fun_int_rat > int ).

tff(func_def_2206,type,
    sK1047: fun_int_rat > int ).

tff(func_def_2207,type,
    sK1048: ( int * int ) > nat ).

tff(func_def_2208,type,
    sK1049: real ).

tff(func_def_2209,type,
    sK1050: ( real * real ) > real ).

tff(func_def_2210,type,
    sK1051: ( real * real ) > real ).

tff(func_def_2211,type,
    sK1052: complex > real ).

tff(func_def_2212,type,
    sK1053: ( complex * nat ) > nat ).

tff(func_def_2213,type,
    sK1054: fun_num_rat > num ).

tff(func_def_2214,type,
    sK1055: fun_num_rat > num ).

tff(func_def_2215,type,
    sK1056: fun_num_rat > num ).

tff(func_def_2216,type,
    sK1057: fun_num_rat > num ).

tff(func_def_2217,type,
    sK1058: fun_num_rat > num ).

tff(func_def_2218,type,
    sK1059: fun_num_rat > num ).

tff(func_def_2219,type,
    sK1060: fun_num_rat > num ).

tff(func_def_2220,type,
    sK1061: fun_num_rat > num ).

tff(func_def_2221,type,
    sK1062: fun_num_rat > num ).

tff(func_def_2222,type,
    sK1063: fun_num_rat > num ).

tff(func_def_2223,type,
    sK1064: fun_num_rat > num ).

tff(func_def_2224,type,
    sK1065: fun_num_rat > num ).

tff(func_def_2225,type,
    sK1066: fun_num_rat > num ).

tff(func_def_2226,type,
    sK1067: fun_num_rat > num ).

tff(func_def_2227,type,
    sK1068: fun_num_rat > num ).

tff(func_def_2228,type,
    sK1069: fun_num_rat > num ).

tff(func_def_2229,type,
    sK1070: fun_num_rat > num ).

tff(func_def_2230,type,
    sK1071: fun_num_rat > num ).

tff(func_def_2231,type,
    sK1072: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_2232,type,
    sK1073: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_2233,type,
    sK1074: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_2234,type,
    sK1075: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2235,type,
    sK1076: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2236,type,
    sK1077: code_integer > code_integer ).

tff(func_def_2237,type,
    sK1078: code_integer > code_integer ).

tff(func_def_2238,type,
    sK1079: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2239,type,
    sK1080: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2240,type,
    sK1081: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2241,type,
    sK1082: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2242,type,
    sK1083: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2243,type,
    sK1084: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2244,type,
    sK1085: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2245,type,
    sK1086: fun_num_real > num ).

tff(func_def_2246,type,
    sK1087: fun_num_real > num ).

tff(func_def_2247,type,
    sK1088: fun_num_num > num ).

tff(func_def_2248,type,
    sK1089: fun_num_num > num ).

tff(func_def_2249,type,
    sK1090: fun_num_num > num ).

tff(func_def_2250,type,
    sK1091: fun_num_num > num ).

tff(func_def_2251,type,
    sK1092: fun_num_real > num ).

tff(func_def_2252,type,
    sK1093: fun_num_real > num ).

tff(func_def_2253,type,
    sK1094: fun_num_real > num ).

tff(func_def_2254,type,
    sK1095: fun_num_real > num ).

tff(func_def_2255,type,
    sK1096: fun_num_fun_num_bool > num ).

tff(func_def_2256,type,
    sK1097: fun_num_fun_num_bool > num ).

tff(func_def_2257,type,
    sK1098: fun_num_fun_num_bool > num ).

tff(func_def_2258,type,
    sK1099: fun_num_fun_num_bool > num ).

tff(func_def_2259,type,
    sK1100: fun_num_fun_num_bool > num ).

tff(func_def_2260,type,
    sK1101: num > num ).

tff(func_def_2261,type,
    sK1102: num > num ).

tff(func_def_2262,type,
    sK1103: num > num ).

tff(func_def_2263,type,
    sK1104: num > num ).

tff(func_def_2264,type,
    sK1105: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2265,type,
    sK1106: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2266,type,
    sK1107: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2267,type,
    sK1108: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2268,type,
    sK1109: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2269,type,
    sK1110: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2270,type,
    sK1111: num > num ).

tff(func_def_2271,type,
    sK1112: num > num ).

tff(func_def_2272,type,
    sK1113: num > num ).

tff(func_def_2273,type,
    sK1114: num > num ).

tff(func_def_2274,type,
    sK1115: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2275,type,
    sK1116: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2276,type,
    sK1117: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2277,type,
    sK1118: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2278,type,
    sK1119: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2279,type,
    sK1120: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2280,type,
    sK1121: num > num ).

tff(func_def_2281,type,
    sK1122: num > num ).

tff(func_def_2282,type,
    sK1123: num > num ).

tff(func_def_2283,type,
    sK1124: num > num ).

tff(func_def_2284,type,
    sK1125: fun_num_int > num ).

tff(func_def_2285,type,
    sK1126: fun_num_int > num ).

tff(func_def_2286,type,
    sK1127: fun_num_nat > num ).

tff(func_def_2287,type,
    sK1128: fun_num_nat > num ).

tff(func_def_2288,type,
    sK1129: fun_num_real > num ).

tff(func_def_2289,type,
    sK1130: fun_num_real > num ).

tff(func_def_2290,type,
    sK1131: fun_num_int > num ).

tff(func_def_2291,type,
    sK1132: fun_num_int > num ).

tff(func_def_2292,type,
    sK1133: fun_num_nat > num ).

tff(func_def_2293,type,
    sK1134: fun_num_nat > num ).

tff(func_def_2294,type,
    sK1135: fun_num_real > num ).

tff(func_def_2295,type,
    sK1136: fun_num_real > num ).

tff(func_def_2296,type,
    sK1137: fun_num_int > num ).

tff(func_def_2297,type,
    sK1138: fun_num_int > num ).

tff(func_def_2298,type,
    sK1139: fun_num_nat > num ).

tff(func_def_2299,type,
    sK1140: fun_num_nat > num ).

tff(func_def_2300,type,
    sK1141: fun_num_num > num ).

tff(func_def_2301,type,
    sK1142: fun_num_num > num ).

tff(func_def_2302,type,
    sK1143: fun_num_int > num ).

tff(func_def_2303,type,
    sK1144: fun_num_int > num ).

tff(func_def_2304,type,
    sK1145: fun_num_nat > num ).

tff(func_def_2305,type,
    sK1146: fun_num_nat > num ).

tff(func_def_2306,type,
    sK1147: fun_num_num > num ).

tff(func_def_2307,type,
    sK1148: fun_num_num > num ).

tff(func_def_2308,type,
    sK1149: fun_num_int > num ).

tff(func_def_2309,type,
    sK1150: fun_num_int > num ).

tff(func_def_2310,type,
    sK1151: fun_num_nat > num ).

tff(func_def_2311,type,
    sK1152: fun_num_nat > num ).

tff(func_def_2312,type,
    sK1153: fun_num_num > num ).

tff(func_def_2313,type,
    sK1154: fun_num_num > num ).

tff(func_def_2314,type,
    sK1155: fun_num_nat > num ).

tff(func_def_2315,type,
    sK1156: fun_num_nat > num ).

tff(func_def_2316,type,
    sK1157: fun_num_num > num ).

tff(func_def_2317,type,
    sK1158: fun_num_num > num ).

tff(func_def_2318,type,
    sK1159: fun_num_fun_num_bool > num ).

tff(func_def_2319,type,
    sK1160: fun_num_fun_num_bool > num ).

tff(func_def_2320,type,
    sK1161: fun_num_fun_num_bool > num ).

tff(func_def_2321,type,
    sK1162: fun_num_fun_num_bool > num ).

tff(func_def_2322,type,
    sK1163: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_2323,type,
    sK1164: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2324,type,
    sK1165: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_2325,type,
    sK1166: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2326,type,
    sK1167: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2327,type,
    sK1168: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2328,type,
    sK1169: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2329,type,
    sK1170: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2330,type,
    sK1171: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2331,type,
    sK1172: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_2332,type,
    sK1173: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_2333,type,
    sK1174: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2334,type,
    sK1175: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2335,type,
    sK1176: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2336,type,
    sK1177: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2337,type,
    sK1178: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2338,type,
    sK1179: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2339,type,
    sK1180: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2340,type,
    sK1181: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2341,type,
    sK1182: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2342,type,
    sK1183: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2343,type,
    sK1184: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2344,type,
    sK1185: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_2345,type,
    sK1186: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_2346,type,
    sK1187: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2347,type,
    sK1188: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2348,type,
    sK1189: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2349,type,
    sK1190: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2350,type,
    sK1191: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2351,type,
    sK1192: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2352,type,
    sK1193: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_2353,type,
    sK1194: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2354,type,
    sK1195: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2355,type,
    sK1196: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2356,type,
    sK1197: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2357,type,
    sK1198: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2358,type,
    sK1199: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2359,type,
    sK1200: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2360,type,
    sK1201: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_2361,type,
    sK1202: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2362,type,
    sK1203: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2363,type,
    sK1204: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2364,type,
    sK1205: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2365,type,
    sK1206: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2366,type,
    sK1207: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2367,type,
    sK1208: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2368,type,
    sK1209: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2369,type,
    sK1210: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2370,type,
    sK1211: vEBT_VEBT > nat ).

tff(func_def_2371,type,
    sK1212: ( set_nat * nat ) > nat ).

tff(func_def_2372,type,
    sK1213: ( nat * set_nat ) > nat ).

tff(func_def_2373,type,
    sK1214: ( set_nat * nat * nat ) > nat ).

tff(pred_def_1,type,
    bNF_re5780769757191362231t_bool: ( fun_int_fun_int_bool * fun_fu7925731147167280621l_bool * fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_bool * fun_fu8467804991414204575t_bool * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_4,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_5,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_6,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_7,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_8,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_9,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_10,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_11,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_12,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_13,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_14,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_15,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_16,type,
    bNF_re8935275315890131625l_bool: ( fun_fu990398353789569848l_bool * fun_fu8602805464270671924l_bool * fun_fu2636726645394866687t_bool * fun_re1255401033344146673l_bool ) > $o ).

tff(pred_def_17,type,
    bNF_re1162444993429354318l_real: ( fun_fu990398353789569848l_bool * fun_fu762719556336274221l_bool * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_18,type,
    bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).

tff(pred_def_19,type,
    bNF_re769765379126235449at_rat: ( fun_fu2636726645394866687t_bool * fun_fu4669108322068655547t_bool * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_20,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_21,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_22,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_23,type,
    has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_24,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_25,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_26,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_27,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_28,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_29,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_30,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_31,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_32,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_33,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_34,type,
    finite4001608067531595151d_enat: set_Extended_enat > $o ).

tff(pred_def_35,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_36,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_37,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_38,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_39,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat * set_nat ) > $o ).

tff(pred_def_40,type,
    inj_on_nat_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_41,type,
    inj_on_nat_char: ( fun_nat_char * set_nat ) > $o ).

tff(pred_def_42,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_43,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_44,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_45,type,
    quotie6870213296501934825t_real: ( fun_fu2636726645394866687t_bool * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu990398353789569848l_bool ) > $o ).

tff(pred_def_46,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_47,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool * option4927543243414619207at_nat ) > $o ).

tff(pred_def_48,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_49,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_50,type,
    ord_le2529575680413868914d_enat: ( set_Extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_51,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_52,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_53,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_54,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_55,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_56,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_57,type,
    ord_le3776645642988763374x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_58,type,
    ord_le5412861186789288264t_bool: ( fun_Ex8563670519792538868t_bool * fun_Ex8563670519792538868t_bool ) > $o ).

tff(pred_def_59,type,
    ord_le3716944864119727344t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_60,type,
    ord_le6841235830588351564t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_61,type,
    ord_le7519368973566061808l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_62,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_63,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_64,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_65,type,
    ord_le7203529160286727270d_enat: ( set_Extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_66,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_67,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_68,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_69,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_70,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_71,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_72,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_73,type,
    order_4130057895858720880d_enat: fun_Ex5852502975177633731d_enat > $o ).

tff(pred_def_74,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_75,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_77,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_78,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_79,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_80,type,
    transp_fun_nat_rat: fun_fu2636726645394866687t_bool > $o ).

tff(pred_def_81,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_82,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_83,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_84,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_85,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_86,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_87,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_88,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_89,type,
    vEBT_VEBT_greater: ( option_nat * option_nat ) > $o ).

tff(pred_def_90,type,
    vEBT_VEBT_lesseq: ( option_nat * option_nat ) > $o ).

tff(pred_def_91,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_92,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_93,type,
    accp_P6183159247885693666d_enat: ( fun_Pr5442483421567724333t_bool * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_94,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_95,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_96,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_97,type,
    member_Extended_enat: ( extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_98,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_99,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_100,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_101,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_102,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_103,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_104,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_105,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_106,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_107,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_108,type,
    pp: bool > $o ).

tff(pred_def_109,type,
    sP0: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_110,type,
    sP1: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_111,type,
    sP2: ( bool * nat * bool ) > $o ).

tff(pred_def_112,type,
    sP3: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_113,type,
    sP4: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_114,type,
    sP5: ( list_VEBT_VEBT * nat * nat * nat * nat * bool ) > $o ).

tff(pred_def_115,type,
    sP6: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_116,type,
    sP7: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_117,type,
    sP8: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_118,type,
    sP9: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_119,type,
    sP10: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_120,type,
    sP11: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_121,type,
    sP12: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_122,type,
    sP13: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_123,type,
    sP14: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_124,type,
    sP15: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_125,type,
    sP16: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_126,type,
    sP17: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_127,type,
    sP18: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_128,type,
    sP19: ( nat * nat * nat ) > $o ).

tff(pred_def_129,type,
    sP20: ( nat * nat * nat ) > $o ).

tff(pred_def_130,type,
    sP21: ( nat * nat * nat ) > $o ).

tff(pred_def_131,type,
    sP22: fun_int_bool > $o ).

tff(pred_def_132,type,
    sP23: ( fun_int_bool * int ) > $o ).

tff(pred_def_133,type,
    sP24: ( real * real * num ) > $o ).

tff(pred_def_134,type,
    sP25: ( real * num * real ) > $o ).

tff(pred_def_135,type,
    sP26: ( real * real * num ) > $o ).

tff(pred_def_136,type,
    sP27: ( real * num * real ) > $o ).

tff(pred_def_137,type,
    sP28: ( real * real * real ) > $o ).

tff(pred_def_138,type,
    sP29: ( real * real * real ) > $o ).

tff(pred_def_139,type,
    sP30: ( real * real * real ) > $o ).

tff(pred_def_140,type,
    sP31: ( real * real * real ) > $o ).

tff(pred_def_141,type,
    sP32: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_142,type,
    sP33: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_143,type,
    sP34: ( real * real * num ) > $o ).

tff(pred_def_144,type,
    sP35: ( real * num * real ) > $o ).

tff(pred_def_145,type,
    sP36: ( real * num * real ) > $o ).

tff(pred_def_146,type,
    sP37: ( real * real * num ) > $o ).

tff(pred_def_147,type,
    sP38: ( real * real * real ) > $o ).

tff(pred_def_148,type,
    sP39: ( real * real * real ) > $o ).

tff(pred_def_149,type,
    sP40: ( real * real * real ) > $o ).

tff(pred_def_150,type,
    sP41: ( real * real * real ) > $o ).

tff(pred_def_151,type,
    sP42: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_152,type,
    sP43: ( fun_re1255401033344146673l_bool * real * real ) > $o ).

tff(pred_def_153,type,
    sP44: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_154,type,
    sP45: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_155,type,
    sP46: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_156,type,
    sP47: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_157,type,
    sP48: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_158,type,
    sP49: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_159,type,
    sP50: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_160,type,
    sP51: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_161,type,
    sP52: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_162,type,
    sP53: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_163,type,
    sP54: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_164,type,
    sP55: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_165,type,
    sP56: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_166,type,
    sP57: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_167,type,
    sP58: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_168,type,
    sP59: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_169,type,
    sP60: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_170,type,
    sP61: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_171,type,
    sP62: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_172,type,
    sP63: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_173,type,
    sP64: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_174,type,
    sP65: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_175,type,
    sP66: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_176,type,
    sP67: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_177,type,
    sP68: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_178,type,
    sP69: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_179,type,
    sP70: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_180,type,
    sP71: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_181,type,
    sP72: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_182,type,
    sP73: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_183,type,
    sP74: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_184,type,
    sP75: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_185,type,
    sP76: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_186,type,
    sP77: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_187,type,
    sP78: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_188,type,
    sP79: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_189,type,
    sP80: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_190,type,
    sP81: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_191,type,
    sP82: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_192,type,
    sP83: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_193,type,
    sP84: ( bool * nat * bool ) > $o ).

tff(pred_def_194,type,
    sP85: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_195,type,
    sP86: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_196,type,
    sP87: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_197,type,
    sP88: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_198,type,
    sP89: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_199,type,
    sP90: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_200,type,
    sP91: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_201,type,
    sP92: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_202,type,
    sP93: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_203,type,
    sP94: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_204,type,
    sP95: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_205,type,
    sP96: ( int * int * int ) > $o ).

tff(pred_def_206,type,
    sP97: ( int * int * int ) > $o ).

tff(pred_def_207,type,
    sP98: ( int * int * int ) > $o ).

tff(pred_def_208,type,
    sP99: ( rat * rat * rat ) > $o ).

tff(pred_def_209,type,
    sP100: ( rat * rat * rat ) > $o ).

tff(pred_def_210,type,
    sP101: ( rat * rat * rat ) > $o ).

tff(pred_def_211,type,
    sP102: ( rat * rat * num ) > $o ).

tff(pred_def_212,type,
    sP103: ( rat * num * rat ) > $o ).

tff(pred_def_213,type,
    sP104: ( rat * rat * rat ) > $o ).

tff(pred_def_214,type,
    sP105: ( rat * rat * rat ) > $o ).

tff(pred_def_215,type,
    sP106: ( rat * rat * num ) > $o ).

tff(pred_def_216,type,
    sP107: ( rat * num * rat ) > $o ).

tff(pred_def_217,type,
    sP108: ( rat * rat * rat ) > $o ).

tff(pred_def_218,type,
    sP109: ( rat * rat * rat ) > $o ).

tff(pred_def_219,type,
    sP110: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_220,type,
    sP111: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_221,type,
    sP112: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_222,type,
    sP113: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_223,type,
    sP114: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_224,type,
    sP115: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_225,type,
    sP116: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_226,type,
    sP117: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_227,type,
    sP118: ( rat * rat * num ) > $o ).

tff(pred_def_228,type,
    sP119: ( rat * num * rat ) > $o ).

tff(pred_def_229,type,
    sP120: ( rat * rat * rat ) > $o ).

tff(pred_def_230,type,
    sP121: ( rat * rat * rat ) > $o ).

tff(pred_def_231,type,
    sP122: ( rat * num * rat ) > $o ).

tff(pred_def_232,type,
    sP123: ( rat * rat * num ) > $o ).

tff(pred_def_233,type,
    sP124: ( rat * rat * rat ) > $o ).

tff(pred_def_234,type,
    sP125: ( rat * rat * rat ) > $o ).

tff(pred_def_235,type,
    sP126: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_236,type,
    sP127: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_237,type,
    sP128: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_238,type,
    sP129: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_239,type,
    sP130: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_240,type,
    sP131: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_241,type,
    sP132: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_242,type,
    sP133: ( real * nat * real ) > $o ).

tff(pred_def_243,type,
    sP134: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_244,type,
    sP135: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_245,type,
    sP136: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_246,type,
    sP137: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_247,type,
    sP138: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_248,type,
    sP139: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_249,type,
    sP140: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_250,type,
    sP141: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_251,type,
    sP142: ( num * num * num ) > $o ).

tff(pred_def_252,type,
    sP143: ( num * num * num ) > $o ).

tff(pred_def_253,type,
    sP144: ( num * num * num ) > $o ).

tff(pred_def_254,type,
    sP145: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_255,type,
    sP146: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_256,type,
    sP147: ( bool * nat * bool ) > $o ).

tff(pred_def_257,type,
    sP148: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_258,type,
    sP149: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_259,type,
    sP150: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_260,type,
    sP151: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_261,type,
    sP152: ( bool * nat * bool ) > $o ).

tff(f1,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_bbbb) ).

tff(f3,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_aaaa) ).

tff(f6,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f50,axiom,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_verit__la__disequality) ).

tff(f10608,conjecture,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10609,negated_conjecture,
    ( ( ~ aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
    inference(negated_conjecture,[status(cth)],[f10608]) ).

tff(f10610,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    inference(flattening,[],[f10609]) ).

tff(f18476,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
    inference(cnf_transformation,[],[f10610]) ).

tff(f18906,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
    inference(cnf_transformation,[],[f3]) ).

tff(f18908,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
    inference(cnf_transformation,[],[f1]) ).

tff(f19874,plain,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f50]) ).

tff(f23780,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    inference(cnf_transformation,[],[f6]) ).

tff(f32159,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),
    inference(forward_demodulation,[],[f18908,f23780]) ).

tff(f32160,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na))),
    inference(forward_demodulation,[],[f18906,f23780]) ).

tff(f32317,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na),
    inference(forward_demodulation,[],[f18476,f23780]) ).

tff(f33282,plain,
    ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na)))
    | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na) ) ),
    inference(resolution,[],[f19874,f32159]) ).

tff(f33285,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na),
    inference(forward_subsumption_resolution,[],[f33282,f32160]) ).

tff(f33288,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f33285,f32317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP246_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n014.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Sun Sep 27 12:35:02 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.46  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.24/4.66  % (755528)Detected formulas, will run a generic FOF schedule.
% 19.24/4.66  % (755538)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2901072610:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 19.24/4.66  % (755536)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=3732352114:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 19.24/4.66  % (755535)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=3601610274:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 19.24/4.66  % (755538)Refutation not found, incomplete strategy
% 19.24/4.66  % (755538)------------------------------
% 19.24/4.66  % (755538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/4.66  % (755538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/4.66  % (755538)CaDiCaL version: 2.1.3
% 19.24/4.66  % (755538)Termination reason: Refutation not found, incomplete strategy
% 19.24/4.66  % (755538)Time elapsed: 0.048 s
% 19.24/4.66  % (755538)Peak memory usage: 98 MB
% 19.24/4.66  % (755538)Instructions burned: 82 (million)
% 19.24/4.66  % (755540)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1231908984:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 19.24/4.66  % (755539)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4264512763:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 19.24/4.66  % (755541)dis-21_1_sil=8000:lcm=predicate:random_seed=1708019048:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 19.24/4.66  % (755537)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=3350343770:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 19.24/4.66  % (755540)Instruction limit reached! 
% 19.24/4.66  % (755540)------------------------------
% 19.24/4.66  % (755540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/4.66  % (755540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/4.66  % (755540)CaDiCaL version: 2.1.3
% 19.24/4.66  % (755540)Termination reason: Instruction limit
% 19.24/4.66  % (755540)Termination phase: Property scanning
% 19.24/4.66  % (755540)Time elapsed: 0.116 s
% 19.24/4.66  % (755540)Peak memory usage: 94 MB
% 19.24/4.66  % (755540)Instructions burned: 139 (million)
% 19.24/4.66  % (755539)Instruction limit reached! 
% 19.24/4.66  % (755539)------------------------------
% 19.24/4.66  % (755539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/4.66  % (755539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/4.66  % (755539)CaDiCaL version: 2.1.3
% 19.24/4.66  % (755539)Termination reason: Instruction limit
% 19.24/4.66  % (755539)Termination phase: Preprocessing 3
% 19.24/4.66  % (755539)Time elapsed: 0.122 s
% 19.24/4.66  % (755539)Peak memory usage: 96 MB
% 19.24/4.66  % (755539)Instructions burned: 119 (million)
% 19.24/4.66  % (755541)Instruction limit reached! 
% 19.24/4.66  % (755541)------------------------------
% 19.24/4.66  % (755541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/4.66  % (755541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/4.66  % (755541)CaDiCaL version: 2.1.3
% 19.24/4.66  % (755541)Termination reason: Instruction limit
% 19.24/4.66  % (755541)Termination phase: Preprocessing 2
% 19.24/4.66  % (755541)Time elapsed: 0.135 s
% 19.24/4.66  % (755541)Peak memory usage: 95 MB
% 19.24/4.66  % (755541)Instructions burned: 129 (million)
% 19.24/4.66  % (755538)------------------------------
% 19.24/4.66  % (755538)------------------------------
% 19.24/4.66  % (755549)lrs+10_1_sil=8000:sp=occurrence:random_seed=472691090:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 19.24/4.66  % (755550)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1321891714:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 19.24/4.66  % (755551)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1416434841:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 19.24/4.66  % (755552)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=1590746241:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 29.11/6.13  % (755550)Instruction limit reached! 
% 29.11/6.13  % (755550)------------------------------
% 29.11/6.13  % (755550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755550)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755550)Termination reason: Instruction limit
% 29.11/6.13  % (755550)Termination phase: Property scanning
% 29.11/6.13  % (755550)Time elapsed: 0.129 s
% 29.11/6.13  % (755550)Peak memory usage: 94 MB
% 29.11/6.13  % (755550)Instructions burned: 157 (million)
% 29.11/6.13  % (755549)Instruction limit reached! 
% 29.11/6.13  % (755549)------------------------------
% 29.11/6.13  % (755549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755549)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755549)Termination reason: Instruction limit
% 29.11/6.13  % (755549)Termination phase: Saturation
% 29.11/6.13  % (755549)Time elapsed: 0.212 s
% 29.11/6.13  % (755549)Peak memory usage: 100 MB
% 29.11/6.13  % (755549)Instructions burned: 286 (million)
% 29.11/6.13  % (755552)Instruction limit reached! 
% 29.11/6.13  % (755552)------------------------------
% 29.11/6.13  % (755552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755552)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755552)Termination reason: Instruction limit
% 29.11/6.13  % (755552)Termination phase: SInE selection
% 29.11/6.13  % (755552)Time elapsed: 0.110 s
% 29.11/6.13  % (755552)Peak memory usage: 94 MB
% 29.11/6.13  % (755552)Instructions burned: 249 (million)
% 29.11/6.13  % (755551)Instruction limit reached! 
% 29.11/6.13  % (755551)------------------------------
% 29.11/6.13  % (755551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755551)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755551)Termination reason: Instruction limit
% 29.11/6.13  % (755551)Termination phase: Saturation
% 29.11/6.13  % (755551)Time elapsed: 0.323 s
% 29.11/6.13  % (755551)Peak memory usage: 101 MB
% 29.11/6.13  % (755551)Instructions burned: 325 (million)
% 29.11/6.13  % (755557)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3385401095:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 29.11/6.13  % (755558)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1319785203:i=2350_2982 on theBenchmark for (2982ds/2350Mi)
% 29.11/6.13  % (755559)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=769453271:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 29.11/6.13  % (755559)Instruction limit reached! 
% 29.11/6.13  % (755559)------------------------------
% 29.11/6.13  % (755559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755559)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755559)Termination reason: Instruction limit
% 29.11/6.13  % (755559)Termination phase: Preprocessing 1
% 29.11/6.13  % (755559)Time elapsed: 0.114 s
% 29.11/6.13  % (755559)Peak memory usage: 94 MB
% 29.11/6.13  % (755559)Instructions burned: 113 (million)
% 29.11/6.13  % (755561)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1944009550:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 29.11/6.13  % (755557)Instruction limit reached! 
% 29.11/6.13  % (755557)------------------------------
% 29.11/6.13  % (755557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755557)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755557)Termination reason: Instruction limit
% 29.11/6.13  % (755557)Termination phase: Property scanning
% 29.11/6.13  % (755557)Time elapsed: 0.275 s
% 29.11/6.13  % (755557)Peak memory usage: 100 MB
% 29.11/6.13  % (755557)Instructions burned: 295 (million)
% 29.11/6.13  % (755561)Instruction limit reached! 
% 29.11/6.13  % (755561)------------------------------
% 29.11/6.13  % (755561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/6.13  % (755561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/6.13  % (755561)CaDiCaL version: 2.1.3
% 29.11/6.13  % (755561)Termination reason: Instruction limit
% 29.11/6.13  % (755561)Termination phase: Preprocessing 3
% 55.91/9.73  % (755561)Time elapsed: 0.135 s
% 55.91/9.73  % (755561)Peak memory usage: 99 MB
% 55.91/9.73  % (755561)Instructions burned: 128 (million)
% 55.91/9.73  % (755564)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2597601789:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 55.91/9.73  % (755566)lrs+10_1_sil=8000:sp=occurrence:random_seed=1022621842:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 55.91/9.73  % (755564)Instruction limit reached! 
% 55.91/9.73  % (755564)------------------------------
% 55.91/9.73  % (755564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.91/9.73  % (755564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.91/9.73  % (755564)CaDiCaL version: 2.1.3
% 55.91/9.73  % (755564)Termination reason: Instruction limit
% 55.91/9.73  % (755564)Termination phase: Property scanning
% 55.91/9.73  % (755564)Time elapsed: 0.094 s
% 55.91/9.73  % (755564)Peak memory usage: 94 MB
% 55.91/9.73  % (755564)Instructions burned: 114 (million)
% 55.91/9.73  % (755567)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=61567932:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 55.91/9.73  % (755571)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2553216762:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 55.91/9.73  % (755567)Instruction limit reached! 
% 55.91/9.73  % (755567)------------------------------
% 55.91/9.73  % (755567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.91/9.73  % (755567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.91/9.73  % (755567)CaDiCaL version: 2.1.3
% 55.91/9.73  % (755567)Termination reason: Instruction limit
% 55.91/9.73  % (755567)Termination phase: Property scanning
% 55.91/9.73  % (755567)Time elapsed: 0.411 s
% 55.91/9.73  % (755567)Peak memory usage: 107 MB
% 55.91/9.73  % (755567)Instructions burned: 437 (million)
% 55.91/9.73  % (755575)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3825536206:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2971 on theBenchmark for (2971ds/134Mi)
% 55.91/9.73  % (755566)Instruction limit reached! 
% 55.91/9.73  % (755566)------------------------------
% 55.91/9.73  % (755566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.91/9.73  % (755566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.91/9.73  % (755566)CaDiCaL version: 2.1.3
% 55.91/9.73  % (755566)Termination reason: Instruction limit
% 55.91/9.73  % (755566)Termination phase: Saturation
% 55.91/9.73  % (755566)Time elapsed: 0.796 s
% 55.91/9.73  % (755566)Peak memory usage: 107 MB
% 55.91/9.73  % (755566)Instructions burned: 907 (million)
% 55.91/9.73  % (755575)Instruction limit reached! 
% 55.91/9.73  % (755575)------------------------------
% 55.91/9.73  % (755575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.91/9.73  % (755575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.91/9.73  % (755575)CaDiCaL version: 2.1.3
% 55.91/9.73  % (755575)Termination reason: Instruction limit
% 55.91/9.73  % (755575)Termination phase: Preprocessing 2
% 55.91/9.73  % (755575)Time elapsed: 0.146 s
% 55.91/9.73  % (755575)Peak memory usage: 97 MB
% 55.91/9.73  % (755575)Instructions burned: 134 (million)
% 55.91/9.73  % (755558)Instruction limit reached! 
% 55.91/9.73  % (755558)------------------------------
% 55.91/9.73  % (755558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.91/9.73  % (755558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.91/9.73  % (755558)CaDiCaL version: 2.1.3
% 55.91/9.73  % (755558)Termination reason: Instruction limit
% 55.91/9.73  % (755558)Termination phase: Saturation
% 55.91/9.73  % (755558)Time elapsed: 1.404 s
% 55.91/9.73  % (755558)Peak memory usage: 263 MB
% 55.91/9.73  % (755558)Instructions burned: 2354 (million)
% 55.91/9.73  % (755577)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3686735366:st=8:i=592:sd=3:ep=RST:ss=axioms_2967 on theBenchmark for (2967ds/592Mi)
% 55.91/9.73  % (755578)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2437125796:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 55.91/9.73  % (755579)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=3174350832:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 55.91/9.73  % (755579)Instruction limit reached! 
% 54.83/10.48  % (755579)------------------------------
% 54.83/10.48  % (755579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755579)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755579)Termination reason: Instruction limit
% 54.83/10.48  % (755579)Termination phase: Property scanning
% 54.83/10.48  % (755579)Time elapsed: 0.054 s
% 54.83/10.48  % (755579)Peak memory usage: 94 MB
% 54.83/10.48  % (755579)Instructions burned: 126 (million)
% 54.83/10.48  % (755583)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2735878003:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 54.83/10.48  % (755577)Instruction limit reached! 
% 54.83/10.48  % (755577)------------------------------
% 54.83/10.48  % (755577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755577)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755577)Termination reason: Instruction limit
% 54.83/10.48  % (755577)Termination phase: Property scanning
% 54.83/10.48  % (755577)Time elapsed: 0.478 s
% 54.83/10.48  % (755577)Peak memory usage: 105 MB
% 54.83/10.48  % (755577)Instructions burned: 594 (million)
% 54.83/10.48  % (755583)Instruction limit reached! 
% 54.83/10.48  % (755583)------------------------------
% 54.83/10.48  % (755583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755583)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755583)Termination reason: Instruction limit
% 54.83/10.48  % (755583)Termination phase: Property scanning
% 54.83/10.48  % (755583)Time elapsed: 0.097 s
% 54.83/10.48  % (755583)Peak memory usage: 94 MB
% 54.83/10.48  % (755583)Instructions burned: 134 (million)
% 54.83/10.48  % (755587)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3060433070:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 54.83/10.48  % (755588)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4284898095:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 54.83/10.48  % (755587)Refutation not found, incomplete strategy
% 54.83/10.48  % (755587)------------------------------
% 54.83/10.48  % (755587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755587)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755587)Termination reason: Refutation not found, incomplete strategy
% 54.83/10.48  % (755587)Time elapsed: 0.078 s
% 54.83/10.48  % (755587)Peak memory usage: 98 MB
% 54.83/10.48  % (755587)Instructions burned: 73 (million)
% 54.83/10.48  % (755588)Instruction limit reached! 
% 54.83/10.48  % (755588)------------------------------
% 54.83/10.48  % (755588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755588)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755588)Termination reason: Instruction limit
% 54.83/10.48  % (755588)Termination phase: Saturation
% 54.83/10.48  % (755588)Time elapsed: 0.232 s
% 54.83/10.48  % (755588)Peak memory usage: 101 MB
% 54.83/10.48  % (755588)Instructions burned: 432 (million)
% 54.83/10.48  % (755587)------------------------------
% 54.83/10.48  % (755587)------------------------------
% 54.83/10.48  % (755591)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=531132214:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 54.83/10.48  % (755592)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=3960138086:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2953 on theBenchmark for (2953ds/150Mi)
% 54.83/10.48  % (755592)Instruction limit reached! 
% 54.83/10.48  % (755592)------------------------------
% 54.83/10.48  % (755592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755592)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755592)Termination reason: Instruction limit
% 54.83/10.48  % (755592)Termination phase: Naming
% 54.83/10.48  % (755592)Time elapsed: 0.168 s
% 54.83/10.48  % (755592)Peak memory usage: 98 MB
% 54.83/10.48  % (755592)Instructions burned: 150 (million)
% 54.83/10.48  % (755595)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2706063609:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 54.83/10.48  % (755537)Refutation not found, incomplete strategy
% 54.83/10.48  % (755537)------------------------------
% 54.83/10.48  % (755537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755537)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755537)Termination reason: Refutation not found, incomplete strategy
% 54.83/10.48  % (755537)Time elapsed: 6.249 s
% 54.83/10.48  % (755537)Peak memory usage: 371 MB
% 54.83/10.48  % (755537)Instructions burned: 6281 (million)
% 54.83/10.48  % (755571)Instruction limit reached! 
% 54.83/10.48  % (755571)------------------------------
% 54.83/10.48  % (755571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755571)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755571)Termination reason: Instruction limit
% 54.83/10.48  % (755571)Termination phase: Saturation
% 54.83/10.48  % (755571)Time elapsed: 5.043 s
% 54.83/10.48  % (755571)Peak memory usage: 274 MB
% 54.83/10.48  % (755571)Instructions burned: 5204 (million)
% 54.83/10.48  % (755537)------------------------------
% 54.83/10.48  % (755537)------------------------------
% 54.83/10.48  % (755599)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2117907497:i=667:av=off:fsr=off_2922 on theBenchmark for (2922ds/667Mi)
% 54.83/10.48  % (755591)Instruction limit reached! 
% 54.83/10.48  % (755591)------------------------------
% 54.83/10.48  % (755591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755591)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755591)Termination reason: Instruction limit
% 54.83/10.48  % (755591)Termination phase: Saturation
% 54.83/10.48  % (755591)Time elapsed: 3.543 s
% 54.83/10.48  % (755591)Peak memory usage: 351 MB
% 54.83/10.48  % (755591)Instructions burned: 6060 (million)
% 54.83/10.48  % (755602)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=1610345984:s2a=on:i=185:s2at=1.8:fdi=4_2920 on theBenchmark for (2920ds/185Mi)
% 54.83/10.48  % (755602)Instruction limit reached! 
% 54.83/10.48  % (755602)------------------------------
% 54.83/10.48  % (755602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755602)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755602)Termination reason: Instruction limit
% 54.83/10.48  % (755602)Termination phase: Preprocessing 2
% 54.83/10.48  % (755602)Time elapsed: 0.185 s
% 54.83/10.48  % (755602)Peak memory usage: 96 MB
% 54.83/10.48  % (755602)Instructions burned: 185 (million)
% 54.83/10.48  % (755605)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2679055040:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2917 on theBenchmark for (2917ds/193Mi)
% 54.83/10.48  % (755605)Instruction limit reached! 
% 54.83/10.48  % (755605)------------------------------
% 54.83/10.48  % (755605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755605)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755605)Termination reason: Instruction limit
% 54.83/10.48  % (755605)Termination phase: Preprocessing 3
% 54.83/10.48  % (755605)Time elapsed: 0.114 s
% 54.83/10.48  % (755605)Peak memory usage: 96 MB
% 54.83/10.48  % (755605)Instructions burned: 193 (million)
% 54.83/10.48  % (755599)Instruction limit reached! 
% 54.83/10.48  % (755599)------------------------------
% 54.83/10.48  % (755599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755599)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755599)Termination reason: Instruction limit
% 54.83/10.48  % (755599)Termination phase: Property scanning
% 54.83/10.48  % (755599)Time elapsed: 0.611 s
% 54.83/10.48  % (755599)Peak memory usage: 106 MB
% 54.83/10.48  % (755599)Instructions burned: 667 (million)
% 54.83/10.48  % (755606)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=520484149:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2915 on theBenchmark for (2915ds/4850Mi)
% 54.83/10.48  % (755608)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2042451819:i=12111:sd=1:ss=included_2913 on theBenchmark for (2913ds/12111Mi)
% 54.83/10.48  % (755578)First to succeed.
% 54.83/10.48  % (755609)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1898252470:i=319:kws=precedence:fsr=off_2913 on theBenchmark for (2913ds/319Mi)
% 54.83/10.48  % (755578)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-755528"
% 54.83/10.48  % (755609)Instruction limit reached! 
% 54.83/10.48  % (755609)------------------------------
% 54.83/10.48  % (755609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.83/10.48  % (755609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/10.48  % (755609)CaDiCaL version: 2.1.3
% 54.83/10.48  % (755609)Termination reason: Instruction limit
% 54.83/10.48  % (755609)Termination phase: Property scanning
% 54.83/10.48  % (755609)Time elapsed: 0.313 s
% 54.83/10.48  % (755609)Peak memory usage: 107 MB
% 54.83/10.48  % (755609)Instructions burned: 319 (million)
% 54.83/10.48  % (755578)Refutation found. Thanks to Tanya!
% 54.83/10.48  % SZS status Theorem for theBenchmark
% 54.83/10.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/10.71  % (755578)------------------------------
% 0.27/10.71  % (755578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/10.71  % (755578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/10.71  % (755578)CaDiCaL version: 2.1.3
% 0.27/10.71  % (755578)Termination reason: Refutation
% 0.27/10.71  % (755578)Time elapsed: 5.419 s
% 0.27/10.71  % (755578)Peak memory usage: 263 MB
% 0.27/10.71  % (755578)Instructions burned: 5688 (million)
% 0.27/10.71  % (755578)------------------------------
% 0.27/10.71  % (755578)------------------------------
% 0.27/10.71  % (755528)Success in time 9.45 s
% 0.27/10.71  % Vampire exiting
%------------------------------------------------------------------------------