Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP225_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:45 AM UTC 2026

% Result   : Theorem 32.51s 7.03s
% Output   : Refutation 37.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   8   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :  321 ( 320 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  206 ( 204 usr;   1 prp; 0-6 aty)
%            Number of functors    : 2023 (2023 usr; 464 con; 0-8 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_Co1105491363547889651atural: $tType ).

tff(type_def_6,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_7,type,
    fun_fu2754956555950464963t_bool: $tType ).

tff(type_def_8,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_9,type,
    fun_Pr7769407664385210434atural: $tType ).

tff(type_def_10,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_11,type,
    fun_Pr4637083014979798189l_bool: $tType ).

tff(type_def_12,type,
    fun_Pr5442483421567724333t_bool: $tType ).

tff(type_def_13,type,
    fun_fu4669108322068655547t_bool: $tType ).

tff(type_def_14,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_15,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_16,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_17,type,
    fun_fu2194082084716825453t_bool: $tType ).

tff(type_def_18,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_19,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_20,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_21,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_22,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_23,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_24,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_25,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_26,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_27,type,
    fun_fu762719556336274221l_bool: $tType ).

tff(type_def_28,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_29,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_30,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_31,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_32,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_33,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_34,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_35,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_36,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_37,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_38,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_39,type,
    fun_fu3307002049327355231l_bool: $tType ).

tff(type_def_40,type,
    fun_fu6750301411456490045r_bool: $tType ).

tff(type_def_41,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_42,type,
    fun_fu8602805464270671924l_bool: $tType ).

tff(type_def_43,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_44,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_45,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_46,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_47,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_48,type,
    fun_fu1432019548987072325l_bool: $tType ).

tff(type_def_49,type,
    fun_fu2005298298577998622l_bool: $tType ).

tff(type_def_50,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_51,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_52,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_53,type,
    fun_fu8172925815900240338r_bool: $tType ).

tff(type_def_54,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_55,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_56,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_57,type,
    fun_fu1590586450949517859at_nat: $tType ).

tff(type_def_58,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_59,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_60,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_61,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_62,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_63,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_64,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_65,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_66,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_67,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_68,type,
    fun_fu8308374331699588969t_bool: $tType ).

tff(type_def_69,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_70,type,
    fun_fu2636726645394866687t_bool: $tType ).

tff(type_def_71,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_72,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_73,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_74,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_75,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_76,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_77,type,
    list_P5578671422887162913nteger: $tType ).

tff(type_def_78,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_79,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_80,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_81,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_82,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_83,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_84,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_85,type,
    fun_fu3380082687118895412nteger: $tType ).

tff(type_def_86,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_87,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_88,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_89,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_90,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_91,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_92,type,
    fun_fu1032279790925302627l_bool: $tType ).

tff(type_def_93,type,
    fun_fu7344326129191042041r_bool: $tType ).

tff(type_def_94,type,
    fun_Co9170264581657726457l_bool: $tType ).

tff(type_def_95,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_96,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_97,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_98,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_99,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_100,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_101,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_102,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_103,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_104,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_105,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_106,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_107,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_108,type,
    list_P8603913368774139775r_bool: $tType ).

tff(type_def_109,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_110,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_111,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_112,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_113,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_114,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_115,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_116,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_117,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_118,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_119,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_120,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_121,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_122,type,
    produc7272778201969148633d_enat: $tType ).

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

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

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

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

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

tff(type_def_128,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_129,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_130,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_131,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_132,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_133,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_134,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_135,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_136,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_137,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_138,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_139,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_140,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_141,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_142,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_143,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_144,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_145,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_146,type,
    fun_na7327111457444404817l_bool: $tType ).

tff(type_def_147,type,
    fun_in5519481650651148416r_bool: $tType ).

tff(type_def_148,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_149,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_150,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_151,type,
    fun_na8135612474337863287nteger: $tType ).

tff(type_def_152,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_153,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_154,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_155,type,
    fun_Su884838341992399436at_nat: $tType ).

tff(type_def_156,type,
    fun_na3635074868517587788at_nat: $tType ).

tff(type_def_157,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_158,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_159,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_160,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_161,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_162,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_163,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_164,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_165,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_166,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_167,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_168,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_169,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_170,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_171,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_172,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_173,type,
    fun_Co3734316457315071362atural: $tType ).

tff(type_def_174,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_175,type,
    fun_re7681423839302404990l_real: $tType ).

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

tff(type_def_177,type,
    fun_fu7307090382573344987l_bool: $tType ).

tff(type_def_178,type,
    fun_re1255401033344146673l_bool: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_187,type,
    fun_na9137082442855928016l_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_208,type,
    fun_co8153928105989009288nteger: $tType ).

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

tff(type_def_210,type,
    produc2804947525362035943l_bool: $tType ).

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

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

tff(type_def_213,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_214,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

tff(type_def_221,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

tff(type_def_226,type,
    fun_Co7175331531449502024l_bool: $tType ).

tff(type_def_227,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_239,type,
    fun_Pr1792556611952799308t_real: $tType ).

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

tff(type_def_241,type,
    fun_na8797796813480665199d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_319,type,
    real: $tType ).

tff(type_def_320,type,
    bool: $tType ).

tff(type_def_321,type,
    rat: $tType ).

tff(type_def_322,type,
    num: $tType ).

tff(type_def_323,type,
    nat: $tType ).

tff(type_def_324,type,
    int: $tType ).

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

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

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

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: fun_nat_fun_nat_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_nat_fun_nat_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_real_real ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_rat_rat ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_nat_nat ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_int_int ).

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

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

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

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

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

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

tff(func_def_18,type,
    aTP_Lamm_ar: fun_real_bool > fun_real_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_list_nat_bool > fun_list_nat_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_set_nat_bool > fun_set_nat_bool ).

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

tff(func_def_22,type,
    aTP_Lamm_av: fun_int_bool > fun_int_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_re1255401033344146673l_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_nat_fun_nat_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_int_fun_int_bool ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_complex_complex ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_real_real ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_rat_rat ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_nat_nat ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_int_int ).

tff(func_def_31,type,
    aTP_Lamm_be: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_33,type,
    aTP_Lamm_bg: complex > fun_na5941084329111710283x_bool ).

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

tff(func_def_35,type,
    aTP_Lamm_bi: nat > fun_real_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_fun_nat_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: complex > fun_na1591161823130732966omplex ).

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

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

tff(func_def_40,type,
    aTP_Lamm_bn: code_integer > fun_na7078387940644931716nteger ).

tff(func_def_41,type,
    aTP_Lamm_bo: rat > fun_nat_fun_rat_rat ).

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: real > fun_nat_real ).

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

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

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

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

tff(func_def_51,type,
    aTP_Lamm_by: real > fun_nat_real ).

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

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

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

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

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_nat > fun_nat_nat ).

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

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

tff(func_def_59,type,
    aTP_Lamm_cg: fun_nat_int > fun_nat_Code_integer ).

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

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

tff(func_def_62,type,
    aTP_Lamm_cj: fun_nat_int > fun_nat_int ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_int_int > fun_int_real ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_int_int > fun_int_Code_integer ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_int_int > fun_int_rat ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_int_int > fun_int_complex ).

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

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

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_real > fun_nat_real ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_nat > fun_nat_nat ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_nat_int > fun_nat_int ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_74,type,
    aTP_Lamm_cv: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_int > fun_na7654559027617327379at_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_complex > fun_na1591161823130732966omplex ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_80,type,
    aTP_Lamm_db: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_81,type,
    aTP_Lamm_dc: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_82,type,
    aTP_Lamm_dd: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_83,type,
    aTP_Lamm_de: real > fun_nat_real ).

tff(func_def_84,type,
    aTP_Lamm_df: code_integer > fun_nat_Code_integer ).

tff(func_def_85,type,
    aTP_Lamm_dg: rat > fun_nat_rat ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_fun_nat_nat ).

tff(func_def_87,type,
    aTP_Lamm_di: int > fun_nat_int ).

tff(func_def_88,type,
    aTP_Lamm_dj: real > fun_nat_fun_nat_real ).

tff(func_def_89,type,
    aTP_Lamm_dk: code_integer > fun_na8135612474337863287nteger ).

tff(func_def_90,type,
    aTP_Lamm_dl: rat > fun_nat_fun_nat_rat ).

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

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

tff(func_def_93,type,
    aTP_Lamm_do: fun_nat_real > fun_nat_real ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_nat_rat > fun_nat_rat ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_nat_nat > fun_nat_nat ).

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

tff(func_def_97,type,
    aTP_Lamm_ds: complex > fun_nat_complex ).

tff(func_def_98,type,
    aTP_Lamm_dt: code_integer > fun_nat_Code_integer ).

tff(func_def_99,type,
    aTP_Lamm_du: rat > fun_nat_rat ).

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

tff(func_def_101,type,
    aTP_Lamm_dw: fun_nat_fun_nat_nat ).

tff(func_def_102,type,
    aTP_Lamm_dx: int > fun_nat_int ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_nat_real ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_nat_real ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_nat_int ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_nat_nat ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_nat_int ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_int_int ).

tff(func_def_109,type,
    aTP_Lamm_ee: nat > fun_fu6899955116716589935t_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_111,type,
    aTP_Lamm_eg: nat > fun_fu8464300013002972271at_int ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_113,type,
    aTP_Lamm_ei: real > fun_fu6899955116716589935t_real ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: real > fun_nat_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_real > fun_nat_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_nat_complex > fun_nat_complex ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_nat_int > fun_nat_int ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_nat_complex > fun_co3258106519541737638omplex ).

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

tff(func_def_127,type,
    aTP_Lamm_ew: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: complex > fun_nat_complex ).

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

tff(func_def_132,type,
    aTP_Lamm_fb: fun_nat_complex > fun_na1142814060743658952omplex ).

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

tff(func_def_134,type,
    aTP_Lamm_fd: fun_complex_complex ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_complex_nat > fun_complex_complex ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_complex_int > fun_complex_complex ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_int_int > fun_int_int ).

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

tff(func_def_139,type,
    aTP_Lamm_fi: int > fun_complex_int ).

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

tff(func_def_141,type,
    aTP_Lamm_fk: real > fun_complex_real ).

tff(func_def_142,type,
    aTP_Lamm_fl: real > fun_int_real ).

tff(func_def_143,type,
    aTP_Lamm_fm: nat > fun_complex_nat ).

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

tff(func_def_145,type,
    aTP_Lamm_fo: code_integer > fun_co8153928105989009288nteger ).

tff(func_def_146,type,
    aTP_Lamm_fp: code_integer > fun_nat_Code_integer ).

tff(func_def_147,type,
    aTP_Lamm_fq: code_integer > fun_int_Code_integer ).

tff(func_def_148,type,
    aTP_Lamm_fr: rat > fun_complex_rat ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_int_int > fun_fu1143798476471108391nt_int ).

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

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

tff(func_def_155,type,
    aTP_Lamm_fy: real > fun_fu6899955116716589935t_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: complex > fun_fu40286998686754419omplex ).

tff(func_def_157,type,
    aTP_Lamm_ga: nat > fun_fu6899955116716589935t_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: complex > fun_na1142814060743658952omplex ).

tff(func_def_159,type,
    aTP_Lamm_gc: rat > fun_nat_fun_nat_rat ).

tff(func_def_160,type,
    aTP_Lamm_gd: int > fun_nat_fun_nat_int ).

tff(func_def_161,type,
    aTP_Lamm_ge: real > fun_nat_fun_nat_real ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_163,type,
    aTP_Lamm_gg: nat > fun_co3258106519541737638omplex ).

tff(func_def_164,type,
    aTP_Lamm_gh: nat > fun_re4238438383274954274t_real ).

tff(func_def_165,type,
    aTP_Lamm_gi: nat > fun_int_fun_nat_int ).

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

tff(func_def_167,type,
    aTP_Lamm_gk: fun_nat_int > fun_nat_int ).

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

tff(func_def_169,type,
    aTP_Lamm_gm: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_complex_rat > fun_fu2990765671291504771ex_rat ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_nat_rat > fun_nat_rat ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_nat_int > fun_nat_int ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_real > fun_nat_real ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_nat_rat > fun_nat_rat ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_int > fun_nat_int ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_nat_real > fun_nat_real ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_nat_real ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_nat_rat > fun_nat_rat ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_nat_int > fun_nat_int ).

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

tff(func_def_193,type,
    aTP_Lamm_hk: fun_nat_real > fun_nat_real ).

tff(func_def_194,type,
    aTP_Lamm_hl: fun_nat_real > fun_nat_real ).

tff(func_def_195,type,
    aTP_Lamm_hm: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

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

tff(func_def_199,type,
    aTP_Lamm_hq: complex > fun_co3258106519541737638omplex ).

tff(func_def_200,type,
    aTP_Lamm_hr: int > fun_int_fun_nat_int ).

tff(func_def_201,type,
    aTP_Lamm_hs: code_integer > fun_Co6226381647958292740nteger ).

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

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

tff(func_def_204,type,
    aTP_Lamm_hv: real > fun_re4238438383274954274t_real ).

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

tff(func_def_206,type,
    aTP_Lamm_hx: real > fun_nat_real ).

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

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

tff(func_def_209,type,
    aTP_Lamm_ia: real > fun_nat_real ).

tff(func_def_210,type,
    aTP_Lamm_ib: real > fun_nat_real ).

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

tff(func_def_212,type,
    aTP_Lamm_id: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_set_nat_nat > fun_fu1590586450949517859at_nat ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_complex_nat ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_list_nat_nat ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_set_nat_nat ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_int_nat ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_complex_nat > fun_complex_nat ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_list_nat_nat > fun_list_nat_nat ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_set_nat_nat > fun_set_nat_nat ).

tff(func_def_224,type,
    aTP_Lamm_ip: fun_int_nat > fun_int_nat ).

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_nat > fun_nat_nat ).

tff(func_def_226,type,
    aTP_Lamm_ir: fun_complex_real ).

tff(func_def_227,type,
    aTP_Lamm_is: fun_list_nat_real ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_set_nat_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_int_real ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_nat_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: nat > fun_co1378794544173401837x_bool ).

tff(func_def_232,type,
    aTP_Lamm_ix: real > fun_nat_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: real > fun_nat_real ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_nat_real ).

tff(func_def_235,type,
    aTP_Lamm_ja: fun_nat_real > fun_fu6899955116716589935t_real ).

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

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

tff(func_def_238,type,
    aTP_Lamm_jd: real > fun_nat_real ).

tff(func_def_239,type,
    aTP_Lamm_je: nat > fun_nat_complex ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_nat_fun_nat_nat ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_nat_fun_nat_nat ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_nat_fun_nat_nat ).

tff(func_def_243,type,
    aTP_Lamm_ji: nat > fun_nat_fun_nat_nat ).

tff(func_def_244,type,
    aTP_Lamm_jj: nat > fun_na3244735409550470327at_nat ).

tff(func_def_245,type,
    aTP_Lamm_jk: nat > fun_na3244735409550470327at_nat ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_fun_nat_nat ).

tff(func_def_250,type,
    aTP_Lamm_jp: complex > fun_real_bool ).

tff(func_def_251,type,
    aTP_Lamm_jq: num > fun_na4138050610385705875at_nat ).

tff(func_def_252,type,
    aTP_Lamm_jr: num > fun_in1696471567231710611nt_int ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_na4138050610385705875at_nat ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_re1255401033344146673l_bool ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_re1255401033344146673l_bool ).

tff(func_def_256,type,
    aTP_Lamm_jv: int > fun_int_fun_int_bool ).

tff(func_def_257,type,
    aTP_Lamm_jw: int > fun_int_fun_int_bool ).

tff(func_def_258,type,
    aTP_Lamm_jx: int > fun_int_fun_int_bool ).

tff(func_def_259,type,
    aTP_Lamm_jy: int > fun_int_fun_int_bool ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_262,type,
    aTP_Lamm_kb: int > fun_int_fun_int_bool ).

tff(func_def_263,type,
    aTP_Lamm_kc: int > fun_int_fun_int_bool ).

tff(func_def_264,type,
    aTP_Lamm_kd: num > fun_Co2470855966376689427nteger ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_nat_bool ).

tff(func_def_266,type,
    aTP_Lamm_kf: fun_nat_bool ).

tff(func_def_267,type,
    aTP_Lamm_kg: real > fun_int_bool ).

tff(func_def_268,type,
    aTP_Lamm_kh: rat > fun_int_bool ).

tff(func_def_269,type,
    aTP_Lamm_ki: fun_nat_fun_nat_nat ).

tff(func_def_270,type,
    aTP_Lamm_kj: fun_nat_fun_nat_nat ).

tff(func_def_271,type,
    aTP_Lamm_kk: fun_in1696471567231710611nt_int ).

tff(func_def_272,type,
    aTP_Lamm_kl: int > fun_in2204242111582549184nt_int ).

tff(func_def_273,type,
    aTP_Lamm_km: rat > fun_in1696471567231710611nt_int ).

tff(func_def_274,type,
    aTP_Lamm_kn: int > fun_in2204242111582549184nt_int ).

tff(func_def_275,type,
    aTP_Lamm_ko: rat > fun_in1696471567231710611nt_int ).

tff(func_def_276,type,
    aTP_Lamm_kp: fun_in1696471567231710611nt_int ).

tff(func_def_277,type,
    aTP_Lamm_kq: int > fun_in6148020733644367646t_bool ).

tff(func_def_278,type,
    aTP_Lamm_kr: rat > fun_int_fun_int_bool ).

tff(func_def_279,type,
    aTP_Lamm_ks: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_280,type,
    aTP_Lamm_kt: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_281,type,
    aTP_Lamm_ku: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_282,type,
    aTP_Lamm_kv: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_Co3583066429914935172er_nat ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_Co1092983284983208416er_int ).

tff(func_def_285,type,
    aTP_Lamm_ky: nat > fun_na4143055713577223196at_nat ).

tff(func_def_286,type,
    aTP_Lamm_kz: fun_na1668100129766719005at_nat ).

tff(func_def_287,type,
    aTP_Lamm_la: fun_na4138050610385705875at_nat ).

tff(func_def_288,type,
    aTP_Lamm_lb: nat > fun_na3408937105440547634t_bool ).

tff(func_def_289,type,
    aTP_Lamm_lc: fun_na4786964484885125043t_bool ).

tff(func_def_290,type,
    aTP_Lamm_ld: nat > fun_na3408937105440547634t_bool ).

tff(func_def_291,type,
    aTP_Lamm_le: fun_na4786964484885125043t_bool ).

tff(func_def_292,type,
    aTP_Lamm_lf: nat > fun_na4143055713577223196at_nat ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_na1668100129766719005at_nat ).

tff(func_def_294,type,
    aTP_Lamm_lh: nat > fun_na4143055713577223196at_nat ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_na1668100129766719005at_nat ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_nat_fun_nat_nat ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_Co8521658056209057742er_num ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_nat_fun_nat_nat ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_int_nat ).

tff(func_def_300,type,
    aTP_Lamm_ln: int > fun_int_int ).

tff(func_def_301,type,
    aTP_Lamm_lo: num > fun_num_int ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_num_option_num ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_nat_fun_nat_nat ).

tff(func_def_304,type,
    aTP_Lamm_lr: fun_nat_fun_nat_nat ).

tff(func_def_305,type,
    aTP_Lamm_ls: fun_fu6579618355643354601at_rat ).

tff(func_def_306,type,
    aTP_Lamm_lt: rat > fun_nat_rat ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_fu8328862064278946247at_rat ).

tff(func_def_308,type,
    aTP_Lamm_lv: fun_fu6579618355643354601at_rat ).

tff(func_def_309,type,
    aTP_Lamm_lw: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_310,type,
    aTP_Lamm_lx: nat > fun_na5614638261385347865t_bool ).

tff(func_def_311,type,
    aTP_Lamm_ly: nat > fun_na5614638261385347865t_bool ).

tff(func_def_312,type,
    aTP_Lamm_lz: nat > fun_na5614638261385347865t_bool ).

tff(func_def_313,type,
    aTP_Lamm_ma: nat > fun_li8232715659020003717t_bool ).

tff(func_def_314,type,
    aTP_Lamm_mb: fun_nat_fun_nat_nat ).

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_nat ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_real_bool ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_real_bool ).

tff(func_def_318,type,
    aTP_Lamm_mf: fun_nat_fun_nat_nat ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_nat_fun_nat_nat ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_na6724076748692969250l_real ).

tff(func_def_321,type,
    aTP_Lamm_mi: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_322,type,
    aTP_Lamm_mj: real > fun_real_real ).

tff(func_def_323,type,
    aTP_Lamm_mk: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_325,type,
    aTP_Lamm_mm: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_326,type,
    aTP_Lamm_mn: fun_nat_real > fun_real_real ).

tff(func_def_327,type,
    aTP_Lamm_mo: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_328,type,
    aTP_Lamm_mp: real > fun_fu5589980185390252312t_real ).

tff(func_def_329,type,
    aTP_Lamm_mq: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_330,type,
    aTP_Lamm_mr: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: nat > fun_fu3612569900928539882l_real ).

tff(func_def_333,type,
    aTP_Lamm_mu: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_334,type,
    aTP_Lamm_mv: fun_real_real ).

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

tff(func_def_336,type,
    aTP_Lamm_mx: fun_na6724076748692969250l_real ).

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

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

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

tff(func_def_340,type,
    aTP_Lamm_nb: fun_nat_fun_nat_nat ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_real ).

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

tff(func_def_343,type,
    aTP_Lamm_ne: fun_nat_real ).

tff(func_def_344,type,
    aTP_Lamm_nf: real > fun_nat_real ).

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_real ).

tff(func_def_346,type,
    aTP_Lamm_nh: real > fun_nat_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: real > fun_re4238438383274954274t_real ).

tff(func_def_348,type,
    aTP_Lamm_nj: real > fun_nat_real ).

tff(func_def_349,type,
    aTP_Lamm_nk: real > fun_nat_real ).

tff(func_def_350,type,
    aTP_Lamm_nl: real > fun_nat_real ).

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

tff(func_def_352,type,
    aTP_Lamm_nn: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_353,type,
    aTP_Lamm_no: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_354,type,
    aTP_Lamm_np: fun_nat_real > fun_nat_real ).

tff(func_def_355,type,
    aTP_Lamm_nq: fun_nat_real > fun_nat_real ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_nat_bool > fun_nat_bool ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_358,type,
    aTP_Lamm_nt: real > fun_real_real ).

tff(func_def_359,type,
    aTP_Lamm_nu: real > fun_real_real ).

tff(func_def_360,type,
    aTP_Lamm_nv: fun_real_bool > fun_real_bool ).

tff(func_def_361,type,
    aTP_Lamm_nw: fun_real_bool > fun_real_bool ).

tff(func_def_362,type,
    aTP_Lamm_nx: nat > fun_fu3077872570260440615l_real ).

tff(func_def_363,type,
    aTP_Lamm_ny: fun_real_real > fun_real_real ).

tff(func_def_364,type,
    aTP_Lamm_nz: fun_real_real > fun_real_real ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_nat_set_nat ).

tff(func_def_366,type,
    aTP_Lamm_ob: nat > fun_nat_fun_nat_bool ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_nat_rat > fun_nat_rat ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_nat_rat ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_nat_rat ).

tff(func_def_371,type,
    aTP_Lamm_og: int > fun_nat_rat ).

tff(func_def_372,type,
    aTP_Lamm_oh: nat > fun_nat_rat ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_fun_nat_rat_bool ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_fu8328862064278946247at_rat ).

tff(func_def_375,type,
    aTP_Lamm_ok: fun_int_int ).

tff(func_def_376,type,
    aTP_Lamm_ol: fun_num_fun_num_int ).

tff(func_def_377,type,
    aTP_Lamm_om: fun_na1476630412504255114at_nat ).

tff(func_def_378,type,
    aTP_Lamm_on: nat > fun_na3408937105440547634t_bool ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_na4786964484885125043t_bool ).

tff(func_def_380,type,
    aTP_Lamm_op: set_real > fun_real_bool ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_Pr803113274115125473t_bool ).

tff(func_def_382,type,
    aTP_Lamm_or: int > fun_int_fun_int_bool ).

tff(func_def_383,type,
    aTP_Lamm_os: fun_Pr1308109350235310159nt_int ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_Pr2478283820680522243nt_int ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_nat_fun_nat_bool ).

tff(func_def_386,type,
    aTP_Lamm_ov: nat > fun_nat_fun_nat_bool ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_in1696471567231710611nt_int ).

tff(func_def_388,type,
    aTP_Lamm_ox: fun_Pr2478283820680522243nt_int ).

tff(func_def_389,type,
    aTP_Lamm_oy: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_390,type,
    aTP_Lamm_oz: nat > fun_nat_set_nat ).

tff(func_def_391,type,
    aTP_Lamm_pa: nat > fun_nat_set_nat ).

tff(func_def_392,type,
    aTP_Lamm_pb: nat > fun_nat_set_nat ).

tff(func_def_393,type,
    aTP_Lamm_pc: nat > fun_nat_fun_nat_bool ).

tff(func_def_394,type,
    aTP_Lamm_pd: nat > fun_na5042103099923536755t_bool ).

tff(func_def_395,type,
    aTP_Lamm_pe: fun_nat_fun_nat_bool ).

tff(func_def_396,type,
    aTP_Lamm_pf: extended_enat > fun_nat_bool ).

tff(func_def_397,type,
    aTP_Lamm_pg: fun_int_fun_int_int ).

tff(func_def_398,type,
    aTP_Lamm_ph: fun_na819858167508000762st_nat ).

tff(func_def_399,type,
    aTP_Lamm_pi: real > fun_re8658731967611918585t_real ).

tff(func_def_400,type,
    aTP_Lamm_pj: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_401,type,
    aTP_Lamm_pk: nat > fun_na8797796813480665199d_enat ).

tff(func_def_402,type,
    aTP_Lamm_pl: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_403,type,
    aTP_Lamm_pm: nat > fun_na8797796813480665199d_enat ).

tff(func_def_404,type,
    aTP_Lamm_pn: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_405,type,
    aTP_Lamm_po: nat > fun_na8797796813480665199d_enat ).

tff(func_def_406,type,
    aTP_Lamm_pp: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_407,type,
    aTP_Lamm_pq: fun_na8797796813480665199d_enat ).

tff(func_def_408,type,
    aTP_Lamm_pr: nat > fun_nat_set_nat ).

tff(func_def_409,type,
    aTP_Lamm_ps: nat > fun_nat_fun_nat_bool ).

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

tff(func_def_411,type,
    aTP_Lamm_pu: set_nat > fun_nat_bool ).

tff(func_def_412,type,
    aTP_Lamm_pv: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_413,type,
    aTP_Lamm_pw: fun_Co1105491363547889651atural ).

tff(func_def_414,type,
    aTP_Lamm_px: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_nat_nat ).

tff(func_def_416,type,
    aTP_Lamm_pz: fun_nat_int ).

tff(func_def_417,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_418,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_419,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_420,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_421,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_422,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_423,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_424,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_425,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_426,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_427,type,
    bNF_re3324582151780938536l_bool: ( fun_in5519481650651148416r_bool * fun_bo1841576699660343469l_bool ) > fun_fu2005298298577998622l_bool ).

tff(func_def_428,type,
    bNF_re3379532845092657523nteger: ( fun_in5519481650651148416r_bool * fun_in5519481650651148416r_bool ) > fun_fu6750301411456490045r_bool ).

tff(func_def_429,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_430,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_431,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_432,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_433,type,
    bNF_re8879404696352373527l_bool: ( fun_na7327111457444404817l_bool * fun_bo1841576699660343469l_bool ) > fun_fu1432019548987072325l_bool ).

tff(func_def_434,type,
    bNF_re3704215830270325841atural: ( fun_na7327111457444404817l_bool * fun_na7327111457444404817l_bool ) > fun_fu3307002049327355231l_bool ).

tff(func_def_435,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_436,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_437,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_bool * fun_in5519481650651148416r_bool ) > fun_fu8172925815900240338r_bool ).

tff(func_def_438,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_439,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_440,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_441,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_442,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_443,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_444,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_445,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool ) > fun_fu8602805464270671924l_bool ).

tff(func_def_446,type,
    bNF_re237660433471117187t_real: ( fun_fu990398353789569848l_bool * fun_fu990398353789569848l_bool ) > fun_fu762719556336274221l_bool ).

tff(func_def_447,type,
    bNF_re9178625837396562677at_rat: ( fun_fu2636726645394866687t_bool * fun_fu2636726645394866687t_bool ) > fun_fu4669108322068655547t_bool ).

tff(func_def_448,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_449,type,
    gbinom8545251970709558553nteger: code_integer > fun_nat_Code_integer ).

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

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

tff(func_def_452,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

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

tff(func_def_454,type,
    gbinomial_real: real > fun_nat_real ).

tff(func_def_455,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_456,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_457,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_458,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_459,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_460,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_461,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_462,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_463,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_464,type,
    bit_se2773287842338716102atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_465,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_466,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_467,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_468,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_469,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_470,type,
    bit_se168947363167071951atural: ( nat * code_natural ) > code_natural ).

tff(func_def_471,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_472,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_473,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_474,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_475,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_476,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_477,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_478,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_479,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_480,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_481,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_482,type,
    bit_se1617098188084679374atural: ( nat * code_natural ) > code_natural ).

tff(func_def_483,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_484,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_485,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_486,type,
    bit_se569199155075624693atural: ( nat * code_natural ) > code_natural ).

tff(func_def_487,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_488,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_489,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_490,type,
    bit_se7083795435491715335atural: ( nat * code_natural ) > code_natural ).

tff(func_def_491,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_492,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_493,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_494,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_495,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_496,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_497,type,
    bit_se8040316288895769887atural: code_natural > fun_nat_bool ).

tff(func_def_498,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_499,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_500,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_501,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_502,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_503,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_504,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_505,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_506,type,
    code_Nat: fun_Co3734316457315071362atural ).

tff(func_def_507,type,
    code_Suc: fun_Co7398788559141407565atural ).

tff(func_def_508,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_509,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_510,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_511,type,
    code_dup: fun_Co8499238673658658103nteger ).

tff(func_def_512,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_513,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_514,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_515,type,
    code_i5400310926305786745atural: fun_Co2940338738630218498nteger ).

tff(func_def_516,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_517,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_518,type,
    code_nat_of_natural: fun_Code_natural_nat ).

tff(func_def_519,type,
    code_natural_of_nat: fun_nat_Code_natural ).

tff(func_def_520,type,
    code_n4118661773612635043nteger: fun_Co3734316457315071362atural ).

tff(func_def_521,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_522,type,
    code_num_of_integer: fun_Code_integer_num ).

tff(func_def_523,type,
    code_pcr_integer: fun_in5519481650651148416r_bool ).

tff(func_def_524,type,
    code_pcr_natural: fun_na7327111457444404817l_bool ).

tff(func_def_525,type,
    code_sub: fun_nu2537414170016844299nteger ).

tff(func_def_526,type,
    code_Target_negative: fun_num_int ).

tff(func_def_527,type,
    code_Target_Nat: fun_Code_integer_nat ).

tff(func_def_528,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_529,type,
    complete_Inf_Inf_int: set_int > int ).

tff(func_def_530,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_531,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_532,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_533,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_534,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_535,type,
    arg: fun_complex_real ).

tff(func_def_536,type,
    cis: fun_real_complex ).

tff(func_def_537,type,
    cnj: fun_complex_complex ).

tff(func_def_538,type,
    complex2: real > fun_real_complex ).

tff(func_def_539,type,
    im: fun_complex_real ).

tff(func_def_540,type,
    re: fun_complex_real ).

tff(func_def_541,type,
    csqrt: fun_complex_complex ).

tff(func_def_542,type,
    imaginary_unit: complex ).

tff(func_def_543,type,
    rcis: real > fun_real_complex ).

tff(func_def_544,type,
    nth_item_rel: fun_nat_fun_nat_bool ).

tff(func_def_545,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_546,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_547,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_548,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_549,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_550,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_551,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_552,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_553,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_554,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_555,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_556,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_557,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_558,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_559,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_560,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_561,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_562,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_563,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_564,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_565,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_566,type,
    comm_s7457072308508201937r_real: real > fun_nat_real ).

tff(func_def_567,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_568,type,
    semiri2447717529341329178atural: nat > code_natural ).

tff(func_def_569,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_570,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_571,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_572,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_573,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_574,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_575,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_576,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_577,type,
    at_bot_real: filter_real ).

tff(func_def_578,type,
    at_top_int: filter_int ).

tff(func_def_579,type,
    at_top_nat: filter_nat ).

tff(func_def_580,type,
    at_top_real: filter_real ).

tff(func_def_581,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_582,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_583,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_584,type,
    finite_card_int: set_int > nat ).

tff(func_def_585,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_586,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_587,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_588,type,
    finite_card_real: set_real > nat ).

tff(func_def_589,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_590,type,
    finite7802652506058667612T_VEBT: set_VEBT_VEBT > nat ).

tff(func_def_591,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_592,type,
    bij_betw_int_nat: ( fun_int_nat * set_int ) > fun_set_nat_bool ).

tff(func_def_593,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_bool ).

tff(func_def_594,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_595,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_bool ).

tff(func_def_596,type,
    bij_be5432664580149595207at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > fun_set_nat_bool ).

tff(func_def_597,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_598,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_599,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_600,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_601,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_602,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_603,type,
    comp_nat_num_int: ( fun_nat_num * fun_int_nat ) > fun_int_num ).

tff(func_def_604,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_605,type,
    id_bool: fun_bool_bool ).

tff(func_def_606,type,
    id_nat: fun_nat_nat ).

tff(func_def_607,type,
    id_num: fun_num_num ).

tff(func_def_608,type,
    inj_on_nat_int: fun_nat_int > fun_set_nat_bool ).

tff(func_def_609,type,
    inj_on_nat_list_nat: fun_nat_list_nat > fun_set_nat_bool ).

tff(func_def_610,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_611,type,
    inj_on5538052773655684606at_nat: fun_na1476630412504255114at_nat > fun_set_nat_bool ).

tff(func_def_612,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_613,type,
    inj_on5701776251185195458at_nat: fun_na3635074868517587788at_nat > fun_set_nat_bool ).

tff(func_def_614,type,
    map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).

tff(func_def_615,type,
    map_fu1051355602067684763atural: ( fun_Code_integer_int * fun_nat_Code_natural * fun_int_nat ) > fun_Co3734316457315071362atural ).

tff(func_def_616,type,
    map_fu6539832666145259331at_nat: ( fun_Code_integer_int * fun_nat_nat * fun_int_nat ) > fun_Code_integer_nat ).

tff(func_def_617,type,
    map_fu1227494855608507351um_num: ( fun_Code_integer_int * fun_num_num * fun_int_num ) > fun_Code_integer_num ).

tff(func_def_618,type,
    map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).

tff(func_def_619,type,
    map_fu2787874002554666395nteger: ( fun_Code_natural_nat * fun_int_Code_integer * fun_nat_int ) > fun_Co2940338738630218498nteger ).

tff(func_def_620,type,
    map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).

tff(func_def_621,type,
    map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).

tff(func_def_622,type,
    map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

tff(func_def_623,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_624,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_625,type,
    map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

tff(func_def_626,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_627,type,
    map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_628,type,
    map_fu8638147718074629079nteger: ( fun_num_num * fun_int_Code_integer ) > fun_fu3380082687118895412nteger ).

tff(func_def_629,type,
    map_fu8540202848259802501nteger: ( fun_num_num * fun_fu3380082687118895412nteger * fun_num_fun_num_int ) > fun_nu2537414170016844299nteger ).

tff(func_def_630,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_631,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_632,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_633,type,
    map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).

tff(func_def_634,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_635,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_636,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_637,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_638,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_639,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_640,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_641,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_642,type,
    gcd_Lcm_int: set_int > int ).

tff(func_def_643,type,
    gcd_Lcm_nat: fun_set_nat_nat ).

tff(func_def_644,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_645,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_646,type,
    gcd_gcd_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_647,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_648,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_649,type,
    gcd_lcm_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_650,type,
    gcd_lcm_int: fun_int_fun_int_int ).

tff(func_def_651,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_652,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

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

tff(func_def_654,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_655,type,
    abs_abs_int: fun_int_int ).

tff(func_def_656,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_657,type,
    abs_abs_real: fun_real_real ).

tff(func_def_658,type,
    comm_monoid_nat: fun_nat_fun_nat_nat > fun_nat_bool ).

tff(func_def_659,type,
    minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).

tff(func_def_660,type,
    minus_7197305767214868737atural: fun_Co6813818151677833714atural ).

tff(func_def_661,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_662,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_663,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_664,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_665,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_666,type,
    minus_minus_real: real > fun_real_real ).

tff(func_def_667,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_668,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_669,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_670,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_671,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_672,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_673,type,
    monoid_nat: fun_nat_fun_nat_nat > fun_nat_bool ).

tff(func_def_674,type,
    one_one_Code_integer: code_integer ).

tff(func_def_675,type,
    one_one_Code_natural: code_natural ).

tff(func_def_676,type,
    one_one_complex: complex ).

tff(func_def_677,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_678,type,
    one_one_int: int ).

tff(func_def_679,type,
    one_one_nat: nat ).

tff(func_def_680,type,
    one_one_rat: rat ).

tff(func_def_681,type,
    one_one_real: real ).

tff(func_def_682,type,
    plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).

tff(func_def_683,type,
    plus_p4538020629002901425atural: fun_Co6813818151677833714atural ).

tff(func_def_684,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_685,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_686,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_687,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_688,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_689,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_690,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_691,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_692,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_693,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_694,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_695,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_696,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_697,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_698,type,
    times_2397367101498566445atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_699,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_700,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_701,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_702,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_703,type,
    times_times_num: num > fun_num_num ).

tff(func_def_704,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_705,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_706,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_707,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_708,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_709,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_710,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_711,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

tff(func_def_712,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_713,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

tff(func_def_714,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_715,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_716,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_717,type,
    uminus8337675090112669241x_bool: fun_complex_bool > fun_complex_bool ).

tff(func_def_718,type,
    uminus8094991720627284027t_bool: fun_int_bool > fun_int_bool ).

tff(func_def_719,type,
    uminus5119773305880778631t_bool: fun_list_nat_bool > fun_list_nat_bool ).

tff(func_def_720,type,
    uminus1995910650241132439t_bool: fun_nat_bool > fun_nat_bool ).

tff(func_def_721,type,
    uminus4638318004487240379l_bool: fun_real_bool > fun_real_bool ).

tff(func_def_722,type,
    uminus6226608070181861729t_bool: fun_set_nat_bool > fun_set_nat_bool ).

tff(func_def_723,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_724,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_725,type,
    zero_zero_complex: complex ).

tff(func_def_726,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_727,type,
    zero_zero_int: int ).

tff(func_def_728,type,
    zero_zero_nat: nat ).

tff(func_def_729,type,
    zero_zero_rat: rat ).

tff(func_def_730,type,
    zero_zero_real: real ).

tff(func_def_731,type,
    zero_zero_literal: literal ).

tff(func_def_732,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_733,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_734,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_735,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_736,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_737,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_738,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_739,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_740,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_741,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_742,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_743,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_744,type,
    groups4396056296759096172at_nat: ( fun_list_nat_nat * set_list_nat ) > nat ).

tff(func_def_745,type,
    groups8399112307953289288t_real: ( fun_list_nat_real * set_list_nat ) > real ).

tff(func_def_746,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_747,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_748,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_749,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_750,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_751,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_752,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_753,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_754,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_755,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_756,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_757,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_758,type,
    groups8294997508430121362at_nat: ( fun_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_759,type,
    groups5107569545109728110t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_760,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_761,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_762,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_763,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_764,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_765,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_766,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_767,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_768,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_769,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_770,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_771,type,
    groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_772,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_773,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_774,type,
    groups708209901874060359at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_775,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_776,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_777,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_778,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_779,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_780,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_781,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_782,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_783,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_784,type,
    groups4561878855575611511st_nat: fun_list_nat_nat ).

tff(func_def_785,type,
    the_int: fun_int_bool > int ).

tff(func_def_786,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_787,type,
    the_real: fun_real_bool > real ).

tff(func_def_788,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_789,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_790,type,
    if_Extended_enat: ( bool * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_791,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_792,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_793,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_794,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_795,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_796,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_797,type,
    if_rat: ( bool * rat ) > fun_rat_rat ).

tff(func_def_798,type,
    if_real: ( bool * real ) > fun_real_real ).

tff(func_def_799,type,
    if_Sum_sum_nat_nat: ( bool * sum_sum_nat_nat * sum_sum_nat_nat ) > sum_sum_nat_nat ).

tff(func_def_800,type,
    if_fun_nat_rat: ( bool * fun_nat_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_801,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_802,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_803,type,
    neg: fun_num_int ).

tff(func_def_804,type,
    pos: fun_num_int ).

tff(func_def_805,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_806,type,
    cr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_807,type,
    dup: fun_int_int ).

tff(func_def_808,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_809,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_810,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_811,type,
    nat2: fun_int_nat ).

tff(func_def_812,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_813,type,
    power_int_complex: complex > fun_int_complex ).

tff(func_def_814,type,
    power_int_rat: rat > fun_int_rat ).

tff(func_def_815,type,
    power_int_real: real > fun_int_real ).

tff(func_def_816,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_817,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_818,type,
    ring_1_Ints_int: set_int ).

tff(func_def_819,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_820,type,
    ring_1_Ints_real: set_real ).

tff(func_def_821,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_822,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_823,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_824,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_825,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_826,type,
    sub: num > fun_num_int ).

tff(func_def_827,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_828,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_829,type,
    inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_830,type,
    semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_bool ).

tff(func_def_831,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_832,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_833,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_834,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_835,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_836,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_837,type,
    lattic7826324295020591184_F_nat: ( fun_nat_fun_nat_nat * nat ) > fun_set_nat_nat ).

tff(func_def_838,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_839,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_840,type,
    count_list_complex: list_complex > fun_complex_nat ).

tff(func_def_841,type,
    count_list_int: list_int > fun_int_nat ).

tff(func_def_842,type,
    count_list_nat: list_nat > fun_nat_nat ).

tff(func_def_843,type,
    count_list_real: list_real > fun_real_nat ).

tff(func_def_844,type,
    count_list_set_nat: list_set_nat > fun_set_nat_nat ).

tff(func_def_845,type,
    count_list_VEBT_VEBT: ( list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_846,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_847,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_848,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_849,type,
    last_nat: fun_list_nat_nat ).

tff(func_def_850,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_851,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_852,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_853,type,
    nil_int: list_int ).

tff(func_def_854,type,
    nil_nat: list_nat ).

tff(func_def_855,type,
    hd_nat: fun_list_nat_nat ).

tff(func_def_856,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_857,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_858,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_859,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_860,type,
    set_int2: list_int > set_int ).

tff(func_def_861,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_862,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_863,type,
    set_real2: list_real > set_real ).

tff(func_def_864,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_865,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_866,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_867,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_868,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_869,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_870,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_871,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_872,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_873,type,
    nth_Pr2304437835452373666nteger: ( list_P5578671422887162913nteger * nat ) > produc8923325533196201883nteger ).

tff(func_def_874,type,
    nth_Pr136253548056570280r_bool: ( list_P8603913368774139775r_bool * nat ) > produc7417142470700560111r_bool ).

tff(func_def_875,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_876,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_877,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_878,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_879,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_880,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_881,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_882,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_883,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_884,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_885,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_886,type,
    produc8792966785426426881nteger: ( list_Code_integer * list_Code_integer ) > list_P5578671422887162913nteger ).

tff(func_def_887,type,
    produc2469108709554126195r_bool: ( list_Code_integer * list_bool ) > list_P8603913368774139775r_bool ).

tff(func_def_888,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_889,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_890,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_891,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_892,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_893,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_894,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_895,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_896,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_897,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_898,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_899,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_900,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_901,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_902,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_903,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_904,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_905,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_906,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_907,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_908,type,
    upto: ( int * int ) > list_int ).

tff(func_def_909,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_910,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_911,type,
    suc: fun_nat_nat ).

tff(func_def_912,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_913,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_914,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_915,type,
    pred: fun_nat_nat ).

tff(func_def_916,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_917,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_918,type,
    semiri3763490453095760265atural: nat > code_natural ).

tff(func_def_919,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_920,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_921,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_922,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_923,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_924,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_925,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_926,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_927,type,
    size_size_list_int: list_int > nat ).

tff(func_def_928,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_929,type,
    size_size_list_nat: fun_list_nat_nat ).

tff(func_def_930,type,
    size_size_list_real: list_real > nat ).

tff(func_def_931,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_932,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_933,type,
    size_size_num: fun_num_nat ).

tff(func_def_934,type,
    size_size_option_num: option_num > nat ).

tff(func_def_935,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_936,type,
    size_size_char: char > nat ).

tff(func_def_937,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_938,type,
    nat_int_decode: fun_nat_int ).

tff(func_def_939,type,
    nat_int_encode: fun_int_nat ).

tff(func_def_940,type,
    nat_list_decode: fun_nat_list_nat ).

tff(func_def_941,type,
    nat_list_decode_rel: fun_nat_fun_nat_bool ).

tff(func_def_942,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_943,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_944,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_945,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_946,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_947,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_948,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_949,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_950,type,
    nat_sum_decode: fun_na3635074868517587788at_nat ).

tff(func_def_951,type,
    nat_sum_encode: fun_Su884838341992399436at_nat ).

tff(func_def_952,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_953,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_954,type,
    sqrt: fun_real_real ).

tff(func_def_955,type,
    bitM: fun_num_num ).

tff(func_def_956,type,
    inc: fun_num_num ).

tff(func_def_957,type,
    nat_of_num: fun_num_nat ).

tff(func_def_958,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_959,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_960,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_961,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_962,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_963,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_964,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_965,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_966,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_967,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_968,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_969,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_970,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_971,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_972,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_973,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_974,type,
    bit0: fun_num_num ).

tff(func_def_975,type,
    bit1: fun_num_num ).

tff(func_def_976,type,
    one: num ).

tff(func_def_977,type,
    size_num: fun_num_nat ).

tff(func_def_978,type,
    num_of_nat: fun_nat_num ).

tff(func_def_979,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_980,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_981,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_982,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_983,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_984,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_985,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_986,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_987,type,
    pow: num > fun_num_num ).

tff(func_def_988,type,
    pred_numeral: fun_num_nat ).

tff(func_def_989,type,
    sqr: fun_num_num ).

tff(func_def_990,type,
    none_num: option_num ).

tff(func_def_991,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_992,type,
    some_num: num > option_num ).

tff(func_def_993,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_994,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_995,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_996,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_997,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_998,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_999,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_1000,type,
    bot_bot_nat: nat ).

tff(func_def_1001,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1002,type,
    bot_bot_set_int: set_int ).

tff(func_def_1003,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_1004,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1005,type,
    bot_bot_set_num: set_num ).

tff(func_def_1006,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1007,type,
    bot_bot_set_real: set_real ).

tff(func_def_1008,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_1009,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

tff(func_def_1010,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_1011,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_1012,type,
    ord_Least_real: fun_real_bool > real ).

tff(func_def_1013,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1014,type,
    ord_le5570908160329646204atural: fun_Co9170264581657726457l_bool ).

tff(func_def_1015,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_1016,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_1017,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_1018,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_1019,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_1020,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1021,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1022,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_1023,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_1024,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_1025,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_1026,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_1027,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1028,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1029,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1030,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_1031,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_1032,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1033,type,
    top_top_set_int: set_int ).

tff(func_def_1034,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_1035,type,
    top_top_set_nat: set_nat ).

tff(func_def_1036,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1037,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1038,type,
    top_top_set_real: set_real ).

tff(func_def_1039,type,
    top_top_set_char: set_char ).

tff(func_def_1040,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

tff(func_def_1041,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1042,type,
    power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).

tff(func_def_1043,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1044,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1045,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1046,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1047,type,
    power_power_real: real > fun_nat_real ).

tff(func_def_1048,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1049,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_1050,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_1051,type,
    produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_1052,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1053,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_1054,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1055,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_1056,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_1057,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1058,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_1059,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_1060,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_1061,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1062,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1063,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1064,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1065,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1066,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1067,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1068,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1069,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1070,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_1071,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1072,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_1073,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1074,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1075,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_1076,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1077,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1078,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_1079,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1080,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1081,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1082,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1083,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1084,type,
    produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1085,type,
    inc_shift: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1086,type,
    iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1087,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1088,type,
    log_rel: fun_Pr4637083014979798189l_bool ).

tff(func_def_1089,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_1090,type,
    next: fun_Pr7769407664385210434atural ).

tff(func_def_1091,type,
    range: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_1092,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_1093,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_1094,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1095,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1096,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1097,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_1098,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1099,type,
    of_int: fun_int_rat ).

tff(func_def_1100,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_1101,type,
    positive: fun_rat_bool ).

tff(func_def_1102,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1103,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1104,type,
    ratreal: fun_rat_real ).

tff(func_def_1105,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_1106,type,
    cr_real: fun_fu990398353789569848l_bool ).

tff(func_def_1107,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_1108,type,
    positive2: fun_real_bool ).

tff(func_def_1109,type,
    realrel: fun_fu2636726645394866687t_bool ).

tff(func_def_1110,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_1111,type,
    vanishes: fun_nat_rat > bool ).

tff(func_def_1112,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1113,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1114,type,
    real_V975177566351809787t_real: real > fun_real_real ).

tff(func_def_1115,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1116,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1117,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1118,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1119,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1120,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_1121,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_1122,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_1123,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1124,type,
    divide5121882707175180666atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1125,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1126,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_1127,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1128,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1129,type,
    divide_divide_real: real > fun_real_real ).

tff(func_def_1130,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1131,type,
    dvd_dvd_complex: complex > fun_complex_bool ).

tff(func_def_1132,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1133,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1134,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1135,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_1136,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1137,type,
    modulo8411746178871703098atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1138,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1139,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1140,type,
    unit_f2748546683901255202or_nat: fun_nat_nat ).

tff(func_def_1141,type,
    zero_n356916108424825756nteger: bool > code_integer ).

tff(func_def_1142,type,
    zero_n8403883297036319079atural: bool > code_natural ).

tff(func_def_1143,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_1144,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1145,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_1146,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_1147,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_1148,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1149,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1150,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1151,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1152,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_1153,type,
    sums_int: fun_nat_int > fun_int_bool ).

tff(func_def_1154,type,
    sums_nat: fun_nat_nat > fun_nat_bool ).

tff(func_def_1155,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_1156,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_1157,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_1158,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_1159,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_1160,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_1161,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_1162,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_1163,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_1164,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_1165,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1166,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_1167,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_1168,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1169,type,
    image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).

tff(func_def_1170,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1171,type,
    image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1172,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1173,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1174,type,
    image_678696785212003926at_nat: ( fun_na3635074868517587788at_nat * set_nat ) > set_Sum_sum_nat_nat ).

tff(func_def_1175,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_1176,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1177,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1178,type,
    image_1320371278474632150at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > set_nat ).

tff(func_def_1179,type,
    insert_complex: ( complex * set_complex ) > set_complex ).

tff(func_def_1180,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1181,type,
    insert_list_nat: ( list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_1182,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1183,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1184,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1185,type,
    insert_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_1186,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1187,type,
    set_fo1084959871951514735nteger: ( fun_na7078387940644931716nteger * nat * nat * code_integer ) > code_integer ).

tff(func_def_1188,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1189,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1190,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1191,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1192,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1193,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1194,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1195,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1196,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1197,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1198,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1199,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1200,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1201,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1202,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1203,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1204,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1205,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_1206,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1207,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1208,type,
    set_or2392100141987894638an_num: ( num * num ) > set_num ).

tff(func_def_1209,type,
    set_or5199638295745620268an_rat: ( rat * rat ) > set_rat ).

tff(func_def_1210,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1211,type,
    set_or8625682525731655386et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1212,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1213,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1214,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1215,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1216,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_1217,type,
    literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).

tff(func_def_1218,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1219,type,
    size_char: char > nat ).

tff(func_def_1220,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1221,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1222,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_1223,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_1224,type,
    sum_ca7763040182479039464nt_nat: ( fun_nat_int * fun_nat_int * sum_sum_nat_nat ) > int ).

tff(func_def_1225,type,
    sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_1226,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1227,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1228,type,
    arccos: fun_real_real ).

tff(func_def_1229,type,
    arcosh_real: fun_real_real ).

tff(func_def_1230,type,
    arcsin: fun_real_real ).

tff(func_def_1231,type,
    arctan: fun_real_real ).

tff(func_def_1232,type,
    arsinh_real: fun_real_real ).

tff(func_def_1233,type,
    artanh_real: fun_real_real ).

tff(func_def_1234,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1235,type,
    cos_real: fun_real_real ).

tff(func_def_1236,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1237,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1238,type,
    cosh_real: fun_real_real ).

tff(func_def_1239,type,
    cot_complex: fun_complex_complex ).

tff(func_def_1240,type,
    cot_real: fun_real_real ).

tff(func_def_1241,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1242,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1243,type,
    exp_real: fun_real_real ).

tff(func_def_1244,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1245,type,
    log2: real > fun_real_real ).

tff(func_def_1246,type,
    pi: real ).

tff(func_def_1247,type,
    powr_real: real > fun_real_real ).

tff(func_def_1248,type,
    powr_real2: real > fun_real_real ).

tff(func_def_1249,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1250,type,
    sin_real: fun_real_real ).

tff(func_def_1251,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1252,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1253,type,
    sinh_real: fun_real_real ).

tff(func_def_1254,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1255,type,
    tan_real: fun_real_real ).

tff(func_def_1256,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1257,type,
    tanh_real: fun_real_real ).

tff(func_def_1258,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1259,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1260,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1261,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1262,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1263,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1264,type,
    vEBT_V312737461966249ad_rel: fun_Pr5442483421567724333t_bool ).

tff(func_def_1265,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1266,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1267,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1268,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1269,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1270,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1271,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1272,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1273,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1274,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1275,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1276,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1277,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1278,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1279,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

tff(func_def_1280,type,
    vEBT_V6963167321098673237ll_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1281,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1282,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1283,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1284,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_1285,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1286,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_1287,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1288,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1289,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1290,type,
    aa_Cod607569804290114243atural: ( fun_Co3734316457315071362atural * code_integer ) > code_natural ).

tff(func_def_1291,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1292,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1293,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1294,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1295,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1296,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1297,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1298,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1299,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1300,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1301,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1302,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1303,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1304,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1305,type,
    aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).

tff(func_def_1306,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_1307,type,
    aa_Code_natural_bool: ( fun_Co7175331531449502024l_bool * code_natural ) > bool ).

tff(func_def_1308,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_1309,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_1310,type,
    aa_Cod6910080592713026658l_bool: ( fun_Co9170264581657726457l_bool * code_natural ) > fun_Co7175331531449502024l_bool ).

tff(func_def_1311,type,
    aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1312,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1313,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1314,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1315,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1316,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1317,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1318,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1319,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1320,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1321,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1322,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1323,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1324,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1325,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1326,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1327,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1328,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1329,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1330,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1331,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1332,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1333,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1334,type,
    aa_int3865899974016033897r_bool: ( fun_in5519481650651148416r_bool * int ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1335,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1336,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1337,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1338,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1339,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1340,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1341,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1342,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1343,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1344,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1345,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_1346,type,
    aa_list_nat_real: ( fun_list_nat_real * list_nat ) > real ).

tff(func_def_1347,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1348,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1349,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1350,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_1351,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1352,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1353,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1354,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1355,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1356,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1357,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1358,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1359,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1360,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1361,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1362,type,
    aa_nat7431386967378518541at_nat: ( fun_na3635074868517587788at_nat * nat ) > sum_sum_nat_nat ).

tff(func_def_1363,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_1364,type,
    aa_nat4473165201473010874l_bool: ( fun_na7327111457444404817l_bool * nat ) > fun_Co7175331531449502024l_bool ).

tff(func_def_1365,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1366,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1367,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1368,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1369,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1370,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1371,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1372,type,
    aa_nat2010205248571845816nteger: ( fun_na8135612474337863287nteger * nat ) > fun_nat_Code_integer ).

tff(func_def_1373,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1374,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1375,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1376,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1377,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1378,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1379,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1380,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1381,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1382,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1383,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1384,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1385,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1386,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1387,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1388,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1389,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1390,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1391,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1392,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1393,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1394,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1395,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1396,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1397,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1398,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1399,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1400,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1401,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1402,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1403,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_1404,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1405,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1406,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1407,type,
    aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_1408,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1409,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1410,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1411,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1412,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1413,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_1414,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1415,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1416,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1417,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1418,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1419,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1420,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1421,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1422,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1423,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1424,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1425,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1426,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1427,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1428,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1429,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1430,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1431,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1432,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1433,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1434,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1435,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1436,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1437,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1438,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1439,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1440,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1441,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1442,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1443,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1444,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1445,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1446,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1447,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1448,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1449,type,
    aa_set_nat_real: ( fun_set_nat_real * set_nat ) > real ).

tff(func_def_1450,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1451,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1452,type,
    aa_Sum8073061460641146765at_nat: ( fun_Su884838341992399436at_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_1453,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1454,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1455,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1456,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1457,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1458,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1459,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1460,type,
    aa_fun7169572220525660642r_bool: ( fun_fu7344326129191042041r_bool * fun_Co8499238673658658103nteger ) > bool ).

tff(func_def_1461,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1462,type,
    aa_fun857525882259921228l_bool: ( fun_fu1032279790925302627l_bool * fun_Co7398788559141407565atural ) > bool ).

tff(func_def_1463,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1464,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1465,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1466,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1467,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1468,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1469,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1470,type,
    aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_1471,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1472,type,
    aa_fun4674266849241344294r_bool: ( fun_fu6750301411456490045r_bool * fun_int_int ) > fun_fu7344326129191042041r_bool ).

tff(func_def_1473,type,
    aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).

tff(func_def_1474,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1475,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1476,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1477,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1478,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1479,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1480,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1481,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_1482,type,
    aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_1483,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1484,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1485,type,
    aa_fun1838662137086867784l_bool: ( fun_fu3307002049327355231l_bool * fun_nat_nat ) > fun_fu1032279790925302627l_bool ).

tff(func_def_1486,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1487,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_1488,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1489,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1490,type,
    aa_fun5258240734392065441l_bool: ( fun_fu990398353789569848l_bool * fun_nat_rat ) > fun_real_bool ).

tff(func_def_1491,type,
    aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).

tff(func_def_1492,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1493,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1494,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1495,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1496,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_1497,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1498,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_1499,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_1500,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1501,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1502,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_1503,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_1504,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_1505,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1506,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1507,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1508,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1509,type,
    aa_fun9137951878280015556l_bool: ( fun_fu7307090382573344987l_bool * fun_real_real ) > bool ).

tff(func_def_1510,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1511,type,
    aa_fun3386010016858254564at_nat: ( fun_fu1590586450949517859at_nat * fun_set_nat_nat ) > fun_set_nat_nat ).

tff(func_def_1512,type,
    aa_fun7221085148252759141l_bool: ( fun_fu8602805464270671924l_bool * fun_fun_nat_rat_bool ) > fun_fu7511176317168184086l_bool ).

tff(func_def_1513,type,
    aa_fun1696419067750587730t_bool: ( fun_fu8308374331699588969t_bool * fun_fu8328862064278946247at_rat ) > bool ).

tff(func_def_1514,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1515,type,
    aa_fun9159459243913713430l_bool: ( fun_fu762719556336274221l_bool * fun_fu8328862064278946247at_rat ) > fun_fu7307090382573344987l_bool ).

tff(func_def_1516,type,
    aa_fun4901480949278917796t_bool: ( fun_fu4669108322068655547t_bool * fun_fu8328862064278946247at_rat ) > fun_fu8308374331699588969t_bool ).

tff(func_def_1517,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1518,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1519,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1520,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1521,type,
    fFalse: bool ).

tff(func_def_1522,type,
    fNot: fun_bool_bool ).

tff(func_def_1523,type,
    fTrue: bool ).

tff(func_def_1524,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1525,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1526,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1527,type,
    fequal_complex: complex > fun_complex_bool ).

tff(func_def_1528,type,
    fequal_Extended_enat: ( extended_enat * extended_enat ) > bool ).

tff(func_def_1529,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1530,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1531,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1532,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1533,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1534,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1535,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1536,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1537,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1538,type,
    deg: nat ).

tff(func_def_1539,type,
    m: nat ).

tff(func_def_1540,type,
    na: nat ).

tff(func_def_1541,type,
    summary: vEBT_VEBT ).

tff(func_def_1542,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1543,type,
    xa: nat ).

tff(func_def_1544,type,
    sK83: fun_nat_fun_nat_bool > nat ).

tff(func_def_1545,type,
    sK84: fun_nat_fun_nat_bool > nat ).

tff(func_def_1546,type,
    sK85: fun_nat_fun_nat_bool > nat ).

tff(func_def_1547,type,
    sK86: fun_nat_fun_nat_bool > nat ).

tff(func_def_1548,type,
    sK87: fun_nat_fun_nat_bool > nat ).

tff(func_def_1549,type,
    sK88: fun_nat_bool > nat ).

tff(func_def_1550,type,
    sK89: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1551,type,
    sK90: fun_nat_bool > nat ).

tff(func_def_1552,type,
    sK91: fun_nat_bool > nat ).

tff(func_def_1553,type,
    sK92: nat > nat ).

tff(func_def_1554,type,
    sK93: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1555,type,
    sK94: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1556,type,
    sK95: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1557,type,
    sK96: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1558,type,
    sK97: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1559,type,
    sK98: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1560,type,
    sK99: nat > nat ).

tff(func_def_1561,type,
    sK100: nat > nat ).

tff(func_def_1562,type,
    sK101: nat > nat ).

tff(func_def_1563,type,
    sK102: nat > nat ).

tff(func_def_1564,type,
    sK103: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1565,type,
    sK104: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1566,type,
    sK105: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1567,type,
    sK106: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1568,type,
    sK107: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1569,type,
    sK108: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1570,type,
    sK109: nat > nat ).

tff(func_def_1571,type,
    sK110: nat > nat ).

tff(func_def_1572,type,
    sK111: nat > nat ).

tff(func_def_1573,type,
    sK112: nat > nat ).

tff(func_def_1574,type,
    sK113: fun_nat_bool > nat ).

tff(func_def_1575,type,
    sK114: fun_nat_bool > nat ).

tff(func_def_1576,type,
    sK115: fun_nat_bool > nat ).

tff(func_def_1577,type,
    sK116: ( nat * nat ) > nat ).

tff(func_def_1578,type,
    sK117: ( nat * nat ) > nat ).

tff(func_def_1579,type,
    sK118: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1580,type,
    sK119: vEBT_VEBT > bool ).

tff(func_def_1581,type,
    sK120: vEBT_VEBT > bool ).

tff(func_def_1582,type,
    sK121: vEBT_VEBT > bool ).

tff(func_def_1583,type,
    sK122: vEBT_VEBT > bool ).

tff(func_def_1584,type,
    sK123: vEBT_VEBT > bool ).

tff(func_def_1585,type,
    sK124: vEBT_VEBT > bool ).

tff(func_def_1586,type,
    sK125: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1587,type,
    sK126: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1588,type,
    sK127: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1589,type,
    sK128: fun_nat_nat > nat ).

tff(func_def_1590,type,
    sK129: fun_nat_nat > nat ).

tff(func_def_1591,type,
    sK130: ( nat * nat ) > nat ).

tff(func_def_1592,type,
    sK131: ( nat * nat ) > nat ).

tff(func_def_1593,type,
    sK132: ( nat * nat ) > nat ).

tff(func_def_1594,type,
    sK133: ( nat * nat ) > nat ).

tff(func_def_1595,type,
    sK134: fun_nat_fun_nat_bool > nat ).

tff(func_def_1596,type,
    sK135: fun_nat_fun_nat_bool > nat ).

tff(func_def_1597,type,
    sK136: fun_nat_fun_nat_bool > nat ).

tff(func_def_1598,type,
    sK137: fun_nat_fun_nat_bool > nat ).

tff(func_def_1599,type,
    sK138: fun_nat_fun_nat_bool > nat ).

tff(func_def_1600,type,
    sK139: ( nat * nat ) > nat ).

tff(func_def_1601,type,
    sK140: ( nat * nat ) > nat ).

tff(func_def_1602,type,
    sK141: ( nat * nat ) > nat ).

tff(func_def_1603,type,
    sK142: ( nat * nat ) > nat ).

tff(func_def_1604,type,
    sK143: ( nat * nat ) > nat ).

tff(func_def_1605,type,
    sK144: nat > nat ).

tff(func_def_1606,type,
    sK145: nat > nat ).

tff(func_def_1607,type,
    sK146: nat > nat ).

tff(func_def_1608,type,
    sK147: nat > nat ).

tff(func_def_1609,type,
    sK148: fun_nat_bool > nat ).

tff(func_def_1610,type,
    sK149: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1611,type,
    sK150: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1612,type,
    sK151: nat > nat ).

tff(func_def_1613,type,
    sK152: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1614,type,
    sK153: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1615,type,
    sK154: nat > nat ).

tff(func_def_1616,type,
    sK155: ( nat * nat ) > nat ).

tff(func_def_1617,type,
    sK156: fun_nat_nat > nat ).

tff(func_def_1618,type,
    sK157: fun_nat_nat > nat ).

tff(func_def_1619,type,
    sK158: ( nat * nat ) > nat ).

tff(func_def_1620,type,
    sK159: ( nat * nat ) > nat ).

tff(func_def_1621,type,
    sK160: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1622,type,
    sK161: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1623,type,
    sK162: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1624,type,
    sK163: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1625,type,
    sK164: ( nat * nat ) > nat ).

tff(func_def_1626,type,
    sK165: fun_nat_fun_nat_bool > nat ).

tff(func_def_1627,type,
    sK166: fun_nat_fun_nat_bool > nat ).

tff(func_def_1628,type,
    sK167: fun_nat_fun_nat_bool > nat ).

tff(func_def_1629,type,
    sK168: fun_nat_fun_nat_bool > nat ).

tff(func_def_1630,type,
    sK169: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1631,type,
    sK170: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1632,type,
    sK171: nat > nat ).

tff(func_def_1633,type,
    sK172: fun_nat_bool > nat ).

tff(func_def_1634,type,
    sK173: fun_nat_fun_nat_bool > nat ).

tff(func_def_1635,type,
    sK174: fun_nat_fun_nat_bool > nat ).

tff(func_def_1636,type,
    sK175: fun_nat_fun_nat_bool > nat ).

tff(func_def_1637,type,
    sK176: fun_nat_fun_nat_bool > nat ).

tff(func_def_1638,type,
    sK177: fun_nat_bool > nat ).

tff(func_def_1639,type,
    sK178: nat > nat ).

tff(func_def_1640,type,
    sK179: fun_nat_bool > nat ).

tff(func_def_1641,type,
    sK180: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1642,type,
    sK181: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1643,type,
    sK182: fun_nat_bool > nat ).

tff(func_def_1644,type,
    sK183: fun_nat_bool > nat ).

tff(func_def_1645,type,
    sK184: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1646,type,
    sK185: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1647,type,
    sK186: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1648,type,
    sK187: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1649,type,
    sK188: nat > nat ).

tff(func_def_1650,type,
    sK189: nat > nat ).

tff(func_def_1651,type,
    sK190: nat > nat ).

tff(func_def_1652,type,
    sK191: nat > nat ).

tff(func_def_1653,type,
    sK192: fun_nat_bool > nat ).

tff(func_def_1654,type,
    sK193: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1655,type,
    sK194: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1656,type,
    sK195: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1657,type,
    sK196: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1658,type,
    sK197: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1659,type,
    sK198: fun_nat_nat > nat ).

tff(func_def_1660,type,
    sK199: fun_nat_nat > nat ).

tff(func_def_1661,type,
    sK200: fun_nat_fun_nat_bool > nat ).

tff(func_def_1662,type,
    sK201: fun_nat_fun_nat_bool > nat ).

tff(func_def_1663,type,
    sK202: fun_nat_fun_nat_bool > nat ).

tff(func_def_1664,type,
    sK203: fun_nat_fun_nat_bool > nat ).

tff(func_def_1665,type,
    sK204: fun_nat_fun_nat_bool > nat ).

tff(func_def_1666,type,
    sK205: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1667,type,
    sK206: fun_nat_bool > nat ).

tff(func_def_1668,type,
    sK207: nat > nat ).

tff(func_def_1669,type,
    sK208: fun_nat_nat > nat ).

tff(func_def_1670,type,
    sK209: fun_nat_nat > nat ).

tff(func_def_1671,type,
    sK210: ( nat * nat ) > nat ).

tff(func_def_1672,type,
    sK211: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1673,type,
    sK212: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1674,type,
    sK213: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1675,type,
    sK214: nat > nat ).

tff(func_def_1676,type,
    sK215: ( nat * nat ) > nat ).

tff(func_def_1677,type,
    sK216: ( nat * nat ) > nat ).

tff(func_def_1678,type,
    sK217: ( nat * nat ) > nat ).

tff(func_def_1679,type,
    sK218: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1680,type,
    sK219: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1681,type,
    sK220: ( nat * nat ) > nat ).

tff(func_def_1682,type,
    sK221: ( nat * nat ) > nat ).

tff(func_def_1683,type,
    sK222: ( nat * nat ) > nat ).

tff(func_def_1684,type,
    sK223: ( nat * nat ) > nat ).

tff(func_def_1685,type,
    sK224: ( nat * nat ) > nat ).

tff(func_def_1686,type,
    sK225: ( nat * nat ) > nat ).

tff(func_def_1687,type,
    sK226: ( nat * nat ) > nat ).

tff(func_def_1688,type,
    sK227: ( nat * nat * nat ) > nat ).

tff(func_def_1689,type,
    sK228: ( nat * nat * nat ) > nat ).

tff(func_def_1690,type,
    sK229: ( nat * nat ) > nat ).

tff(func_def_1691,type,
    sK230: ( nat * nat ) > nat ).

tff(func_def_1692,type,
    sK231: ( nat * nat ) > nat ).

tff(func_def_1693,type,
    sK232: ( nat * nat ) > nat ).

tff(func_def_1694,type,
    sK233: ( nat * nat ) > nat ).

tff(func_def_1695,type,
    sK234: ( nat * nat ) > nat ).

tff(func_def_1696,type,
    sK235: ( nat * nat * nat ) > nat ).

tff(func_def_1697,type,
    sK236: ( nat * nat * nat ) > nat ).

tff(func_def_1698,type,
    sK237: ( nat * nat * nat ) > nat ).

tff(func_def_1699,type,
    sK238: ( nat * nat * nat ) > nat ).

tff(func_def_1700,type,
    sK239: fun_nat_bool > nat ).

tff(func_def_1701,type,
    sK240: fun_nat_bool > nat ).

tff(func_def_1702,type,
    sK241: int > nat ).

tff(func_def_1703,type,
    sK242: ( int * int ) > nat ).

tff(func_def_1704,type,
    sK243: int > nat ).

tff(func_def_1705,type,
    sK244: int > nat ).

tff(func_def_1706,type,
    sK245: int > nat ).

tff(func_def_1707,type,
    sK246: int > nat ).

tff(func_def_1708,type,
    sK247: int > nat ).

tff(func_def_1709,type,
    sK248: int > nat ).

tff(func_def_1710,type,
    sK249: int > nat ).

tff(func_def_1711,type,
    sK250: int > nat ).

tff(func_def_1712,type,
    sK251: int > nat ).

tff(func_def_1713,type,
    sK252: fun_int_bool > nat ).

tff(func_def_1714,type,
    sK253: fun_int_bool > nat ).

tff(func_def_1715,type,
    sK254: int > nat ).

tff(func_def_1716,type,
    sK255: int > nat ).

tff(func_def_1717,type,
    sK256: int > nat ).

tff(func_def_1718,type,
    sK257: ( int * int ) > nat ).

tff(func_def_1719,type,
    sK258: int > nat ).

tff(func_def_1720,type,
    sK259: int > nat ).

tff(func_def_1721,type,
    sK260: int > nat ).

tff(func_def_1722,type,
    sK261: int > nat ).

tff(func_def_1723,type,
    sK262: ( int * int * fun_int_bool ) > int ).

tff(func_def_1724,type,
    sK263: ( int * fun_int_bool * int ) > int ).

tff(func_def_1725,type,
    sK264: int > int ).

tff(func_def_1726,type,
    sK265: int > int ).

tff(func_def_1727,type,
    sK266: int > int ).

tff(func_def_1728,type,
    sK267: int > int ).

tff(func_def_1729,type,
    sK268: fun_nat_int > nat ).

tff(func_def_1730,type,
    sK269: fun_nat_int > nat ).

tff(func_def_1731,type,
    sK270: fun_nat_int > nat ).

tff(func_def_1732,type,
    sK271: fun_nat_int > nat ).

tff(func_def_1733,type,
    sK272: fun_int_fun_int_bool > int ).

tff(func_def_1734,type,
    sK273: fun_int_fun_int_bool > int ).

tff(func_def_1735,type,
    sK274: fun_int_fun_int_bool > int ).

tff(func_def_1736,type,
    sK275: fun_int_fun_int_bool > int ).

tff(func_def_1737,type,
    sK276: fun_int_fun_int_bool > int ).

tff(func_def_1738,type,
    sK277: int > int ).

tff(func_def_1739,type,
    sK278: int > int ).

tff(func_def_1740,type,
    sK279: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1741,type,
    sK280: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1742,type,
    sK281: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1743,type,
    sK282: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1744,type,
    sK283: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1745,type,
    sK284: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1746,type,
    sK285: int > int ).

tff(func_def_1747,type,
    sK286: int > int ).

tff(func_def_1748,type,
    sK287: int > int ).

tff(func_def_1749,type,
    sK288: int > int ).

tff(func_def_1750,type,
    sK289: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1751,type,
    sK290: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1752,type,
    sK291: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1753,type,
    sK292: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1754,type,
    sK293: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1755,type,
    sK294: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1756,type,
    sK295: int > int ).

tff(func_def_1757,type,
    sK296: int > int ).

tff(func_def_1758,type,
    sK297: int > int ).

tff(func_def_1759,type,
    sK298: int > int ).

tff(func_def_1760,type,
    sK299: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1761,type,
    sK300: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1762,type,
    sK301: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1763,type,
    sK302: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1764,type,
    sK303: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1765,type,
    sK304: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1766,type,
    sK305: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1767,type,
    sK306: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1768,type,
    sK307: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1769,type,
    sK308: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1770,type,
    sK309: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1771,type,
    sK310: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1772,type,
    sK311: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1773,type,
    sK312: vEBT_VEBT > nat ).

tff(func_def_1774,type,
    sK313: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1775,type,
    sK314: list_VEBT_VEBT > nat ).

tff(func_def_1776,type,
    sK315: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1777,type,
    sK316: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1778,type,
    sK317: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1779,type,
    sK318: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1780,type,
    sK319: vEBT_VEBT > nat ).

tff(func_def_1781,type,
    sK320: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1782,type,
    sK321: list_VEBT_VEBT > nat ).

tff(func_def_1783,type,
    sK322: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1784,type,
    sK323: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1785,type,
    sK324: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1786,type,
    sK325: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1787,type,
    sK326: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1788,type,
    sK327: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1789,type,
    sK328: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1790,type,
    sK329: list_VEBT_VEBT > nat ).

tff(func_def_1791,type,
    sK330: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1792,type,
    sK331: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1793,type,
    sK332: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1794,type,
    sK333: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1795,type,
    sK334: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1796,type,
    sK335: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1797,type,
    sK336: list_VEBT_VEBT > nat ).

tff(func_def_1798,type,
    sK337: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1799,type,
    sK338: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1800,type,
    sK339: vEBT_VEBT > bool ).

tff(func_def_1801,type,
    sK340: vEBT_VEBT > bool ).

tff(func_def_1802,type,
    sK341: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1803,type,
    sK342: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1804,type,
    sK343: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1805,type,
    sK344: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1806,type,
    sK345: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1807,type,
    sK346: list_VEBT_VEBT > nat ).

tff(func_def_1808,type,
    sK347: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1809,type,
    sK348: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1810,type,
    sK349: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1811,type,
    sK350: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1812,type,
    sK351: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1813,type,
    sK352: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1814,type,
    sK353: list_VEBT_VEBT > nat ).

tff(func_def_1815,type,
    sK354: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1816,type,
    sK355: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1817,type,
    sK356: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1818,type,
    sK357: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1819,type,
    sK358: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1820,type,
    sK359: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1821,type,
    sK360: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1822,type,
    sK361: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1823,type,
    sK362: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1824,type,
    sK363: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1825,type,
    sK364: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1826,type,
    sK365: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1827,type,
    sK366: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1828,type,
    sK367: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1829,type,
    sK368: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1830,type,
    sK369: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1831,type,
    sK370: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1832,type,
    sK371: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1833,type,
    sK372: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1834,type,
    sK373: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1835,type,
    sK374: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1836,type,
    sK375: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1837,type,
    sK376: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1838,type,
    sK377: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1839,type,
    sK378: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1840,type,
    sK379: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1841,type,
    sK380: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1842,type,
    sK381: vEBT_VEBT > bool ).

tff(func_def_1843,type,
    sK382: vEBT_VEBT > bool ).

tff(func_def_1844,type,
    sK383: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1845,type,
    sK384: list_VEBT_VEBT > nat ).

tff(func_def_1846,type,
    sK385: vEBT_VEBT > nat ).

tff(func_def_1847,type,
    sK386: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1848,type,
    sK387: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1849,type,
    sK388: list_VEBT_VEBT > nat ).

tff(func_def_1850,type,
    sK389: vEBT_VEBT > nat ).

tff(func_def_1851,type,
    sK390: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1852,type,
    sK391: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1853,type,
    sK392: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1854,type,
    sK393: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1855,type,
    sK394: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1856,type,
    sK395: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1857,type,
    sK396: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1858,type,
    sK397: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1859,type,
    sK398: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_1860,type,
    sK399: vEBT_VEBT > nat ).

tff(func_def_1861,type,
    sK400: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1862,type,
    sK401: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1863,type,
    sK402: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_1864,type,
    sK403: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_1865,type,
    sK404: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1866,type,
    sK405: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1867,type,
    sK406: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_1868,type,
    sK407: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_1869,type,
    sK408: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_1870,type,
    sK409: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1871,type,
    sK410: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1872,type,
    sK411: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1873,type,
    sK412: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1874,type,
    sK413: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1875,type,
    sK414: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1876,type,
    sK415: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1877,type,
    sK416: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_1878,type,
    sK417: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1879,type,
    sK418: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1880,type,
    sK419: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1881,type,
    sK420: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1882,type,
    sK421: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1883,type,
    sK422: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1884,type,
    sK423: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1885,type,
    sK424: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1886,type,
    sK425: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_1887,type,
    sK426: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1888,type,
    sK427: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1889,type,
    sK428: vEBT_VEBT > nat ).

tff(func_def_1890,type,
    sK429: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1891,type,
    sK430: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1892,type,
    sK431: product_prod_nat_nat > nat ).

tff(func_def_1893,type,
    sK432: product_prod_nat_nat > nat ).

tff(func_def_1894,type,
    sK433: vEBT_VEBT > bool ).

tff(func_def_1895,type,
    sK434: vEBT_VEBT > bool ).

tff(func_def_1896,type,
    sK435: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1897,type,
    sK436: vEBT_VEBT > nat ).

tff(func_def_1898,type,
    sK437: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1899,type,
    sK438: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1900,type,
    sK439: ( real * real * fun_real_bool ) > real ).

tff(func_def_1901,type,
    sK440: ( real * fun_real_bool * real ) > real ).

tff(func_def_1902,type,
    sK441: fun_real_real > real ).

tff(func_def_1903,type,
    sK442: fun_real_real > real ).

tff(func_def_1904,type,
    sK443: ( real * real * real ) > real ).

tff(func_def_1905,type,
    sK444: ( real * real * real ) > real ).

tff(func_def_1906,type,
    sK445: ( real * real ) > real ).

tff(func_def_1907,type,
    sK446: ( real * real ) > real ).

tff(func_def_1908,type,
    sK447: real > real ).

tff(func_def_1909,type,
    sK448: real > real ).

tff(func_def_1910,type,
    sK449: real > real ).

tff(func_def_1911,type,
    sK450: real > real ).

tff(func_def_1912,type,
    sK451: fun_real_real > real ).

tff(func_def_1913,type,
    sK452: fun_real_real > real ).

tff(func_def_1914,type,
    sK453: ( real * nat ) > real ).

tff(func_def_1915,type,
    sK454: ( nat * real ) > real ).

tff(func_def_1916,type,
    sK455: ( nat * real ) > real ).

tff(func_def_1917,type,
    sK456: ( real * real ) > nat ).

tff(func_def_1918,type,
    sK457: ( real * real ) > nat ).

tff(func_def_1919,type,
    sK458: fun_nat_real > nat ).

tff(func_def_1920,type,
    sK459: fun_nat_real > nat ).

tff(func_def_1921,type,
    sK460: fun_nat_real > nat ).

tff(func_def_1922,type,
    sK461: fun_nat_real > nat ).

tff(func_def_1923,type,
    sK462: fun_nat_real > nat ).

tff(func_def_1924,type,
    sK463: fun_nat_real > nat ).

tff(func_def_1925,type,
    sK464: fun_nat_real > nat ).

tff(func_def_1926,type,
    sK465: fun_nat_real > nat ).

tff(func_def_1927,type,
    sK466: real > real ).

tff(func_def_1928,type,
    sK467: fun_real_real > real ).

tff(func_def_1929,type,
    sK468: fun_real_real > real ).

tff(func_def_1930,type,
    sK469: fun_real_real > real ).

tff(func_def_1931,type,
    sK470: fun_real_real > real ).

tff(func_def_1932,type,
    sK471: fun_real_real > real ).

tff(func_def_1933,type,
    sK472: fun_real_real > real ).

tff(func_def_1934,type,
    sK473: fun_real_real > real ).

tff(func_def_1935,type,
    sK474: fun_real_real > real ).

tff(func_def_1936,type,
    sK475: fun_re1255401033344146673l_bool > real ).

tff(func_def_1937,type,
    sK476: fun_re1255401033344146673l_bool > real ).

tff(func_def_1938,type,
    sK477: fun_re1255401033344146673l_bool > real ).

tff(func_def_1939,type,
    sK478: fun_re1255401033344146673l_bool > real ).

tff(func_def_1940,type,
    sK479: fun_re1255401033344146673l_bool > real ).

tff(func_def_1941,type,
    sK480: ( real * real ) > real ).

tff(func_def_1942,type,
    sK481: real > real ).

tff(func_def_1943,type,
    sK482: real > real ).

tff(func_def_1944,type,
    sK483: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1945,type,
    sK484: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1946,type,
    sK485: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1947,type,
    sK486: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1948,type,
    sK487: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1949,type,
    sK488: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1950,type,
    sK489: real > real ).

tff(func_def_1951,type,
    sK490: real > real ).

tff(func_def_1952,type,
    sK491: real > real ).

tff(func_def_1953,type,
    sK492: real > real ).

tff(func_def_1954,type,
    sK493: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1955,type,
    sK494: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1956,type,
    sK495: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1957,type,
    sK496: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1958,type,
    sK497: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1959,type,
    sK498: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_1960,type,
    sK499: real > real ).

tff(func_def_1961,type,
    sK500: real > real ).

tff(func_def_1962,type,
    sK501: real > real ).

tff(func_def_1963,type,
    sK502: real > real ).

tff(func_def_1964,type,
    sK503: real > real ).

tff(func_def_1965,type,
    sK504: real > real ).

tff(func_def_1966,type,
    sK505: ( real * real ) > real ).

tff(func_def_1967,type,
    sK506: ( int * fun_int_bool ) > int ).

tff(func_def_1968,type,
    sK507: ( int * fun_int_bool ) > int ).

tff(func_def_1969,type,
    sK508: fun_int_bool > int ).

tff(func_def_1970,type,
    sK509: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1971,type,
    sK510: ( int * fun_int_bool ) > int ).

tff(func_def_1972,type,
    sK511: ( int * fun_int_bool ) > int ).

tff(func_def_1973,type,
    sK512: fun_int_bool > int ).

tff(func_def_1974,type,
    sK513: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1975,type,
    sK514: ( int * fun_int_bool ) > int ).

tff(func_def_1976,type,
    sK515: ( int * fun_int_bool ) > int ).

tff(func_def_1977,type,
    sK516: ( int * fun_int_bool ) > int ).

tff(func_def_1978,type,
    sK517: ( int * fun_int_bool ) > int ).

tff(func_def_1979,type,
    sK518: ( fun_int_bool * int ) > int ).

tff(func_def_1980,type,
    sK519: ( fun_int_bool * int ) > int ).

tff(func_def_1981,type,
    sK520: ( int * fun_int_bool ) > int ).

tff(func_def_1982,type,
    sK521: ( int * fun_int_bool ) > int ).

tff(func_def_1983,type,
    sK522: ( fun_int_bool * int ) > int ).

tff(func_def_1984,type,
    sK523: ( fun_int_bool * int ) > int ).

tff(func_def_1985,type,
    sK524: ( fun_int_bool * int ) > int ).

tff(func_def_1986,type,
    sK525: ( fun_int_bool * int ) > int ).

tff(func_def_1987,type,
    sK526: ( int * fun_int_bool ) > int ).

tff(func_def_1988,type,
    sK527: ( int * fun_int_bool ) > int ).

tff(func_def_1989,type,
    sK528: fun_int_bool > int ).

tff(func_def_1990,type,
    sK529: fun_int_bool > int ).

tff(func_def_1991,type,
    sK530: ( int * fun_int_bool ) > int ).

tff(func_def_1992,type,
    sK531: ( int * fun_int_bool ) > int ).

tff(func_def_1993,type,
    sK532: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1994,type,
    sK533: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1995,type,
    sK534: ( real * real ) > real ).

tff(func_def_1996,type,
    sK535: ( real * real ) > real ).

tff(func_def_1997,type,
    sK536: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1998,type,
    sK537: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1999,type,
    sK538: ( nat * nat * nat ) > nat ).

tff(func_def_2000,type,
    sK539: ( nat * nat * nat ) > nat ).

tff(func_def_2001,type,
    sK540: ( nat * nat * nat ) > nat ).

tff(func_def_2002,type,
    sK541: ( nat * nat * nat ) > nat ).

tff(func_def_2003,type,
    sK542: ( nat * nat * nat ) > nat ).

tff(func_def_2004,type,
    sK543: ( nat * nat ) > nat ).

tff(func_def_2005,type,
    sK544: fun_nat_fun_nat_bool > nat ).

tff(func_def_2006,type,
    sK545: fun_nat_fun_nat_bool > nat ).

tff(func_def_2007,type,
    sK546: fun_nat_fun_nat_bool > nat ).

tff(func_def_2008,type,
    sK547: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2009,type,
    sK548: ( real * real ) > nat ).

tff(func_def_2010,type,
    sK549: ( real * real ) > nat ).

tff(func_def_2011,type,
    sK550: real > nat ).

tff(func_def_2012,type,
    sK551: ( real * real ) > nat ).

tff(func_def_2013,type,
    sK552: real > nat ).

tff(func_def_2014,type,
    sK553: real > nat ).

tff(func_def_2015,type,
    sK554: ( real * fun_real_bool ) > real ).

tff(func_def_2016,type,
    sK555: ( real * fun_real_bool ) > real ).

tff(func_def_2017,type,
    sK556: ( fun_real_bool * real ) > real ).

tff(func_def_2018,type,
    sK557: ( fun_real_bool * real ) > real ).

tff(func_def_2019,type,
    sK558: ( real * fun_real_bool ) > real ).

tff(func_def_2020,type,
    sK559: ( real * fun_real_bool ) > real ).

tff(func_def_2021,type,
    sK560: ( fun_real_bool * real ) > real ).

tff(func_def_2022,type,
    sK561: ( fun_real_bool * real ) > real ).

tff(pred_def_1,type,
    bNF_re1831474436612530402atural: ( fun_in5519481650651148416r_bool * fun_na7327111457444404817l_bool * fun_int_nat * fun_Co3734316457315071362atural ) > $o ).

tff(pred_def_2,type,
    bNF_re2807294637932363402at_nat: ( fun_in5519481650651148416r_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_Code_integer_nat ) > $o ).

tff(pred_def_3,type,
    bNF_re6718328864250387230um_num: ( fun_in5519481650651148416r_bool * fun_num_fun_num_bool * fun_int_num * fun_Code_integer_num ) > $o ).

tff(pred_def_4,type,
    bNF_re6983685936609452663r_bool: ( fun_in5519481650651148416r_bool * fun_fu2005298298577998622l_bool * fun_int_fun_int_bool * fun_Co8310303586393106575r_bool ) > $o ).

tff(pred_def_5,type,
    bNF_re9130850084932126070nteger: ( fun_in5519481650651148416r_bool * fun_fu6750301411456490045r_bool * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_6,type,
    bNF_re3715656647883201625at_nat: ( fun_int_fun_int_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_int_nat ) > $o ).

tff(pred_def_7,type,
    bNF_re7626690874201225453um_num: ( fun_int_fun_int_bool * fun_num_fun_num_bool * fun_int_num * fun_int_num ) > $o ).

tff(pred_def_8,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_9,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_10,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_11,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_12,type,
    bNF_re5252274238750452962nteger: ( fun_na7327111457444404817l_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_Co2940338738630218498nteger ) > $o ).

tff(pred_def_13,type,
    bNF_re5766837079853173503l_bool: ( fun_na7327111457444404817l_bool * fun_fu1432019548987072325l_bool * fun_nat_fun_nat_bool * fun_Co9170264581657726457l_bool ) > $o ).

tff(pred_def_14,type,
    bNF_re1400205106991740995atural: ( fun_na7327111457444404817l_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).

tff(pred_def_15,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_16,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_bool * fun_int_fun_int_bool * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_17,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_18,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_19,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_20,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_bool * fun_fu8172925815900240338r_bool * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_21,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_22,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_23,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_24,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_25,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_26,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_27,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_28,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_29,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_30,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_31,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_32,type,
    bNF_re8935275315890131625l_bool: ( fun_fu990398353789569848l_bool * fun_fu8602805464270671924l_bool * fun_fu2636726645394866687t_bool * fun_re1255401033344146673l_bool ) > $o ).

tff(pred_def_33,type,
    bNF_re1162444993429354318l_real: ( fun_fu990398353789569848l_bool * fun_fu762719556336274221l_bool * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_34,type,
    bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).

tff(pred_def_35,type,
    bNF_re769765379126235449at_rat: ( fun_fu2636726645394866687t_bool * fun_fu4669108322068655547t_bool * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_36,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_37,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_38,type,
    has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_39,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_40,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_41,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_42,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_43,type,
    extend8126323780198025762t_bool: ( fun_nat_bool * bool * extended_enat ) > $o ).

tff(pred_def_44,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_45,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_46,type,
    filterlim_int_nat: ( fun_int_nat * filter_nat * filter_int ) > $o ).

tff(pred_def_47,type,
    filterlim_int_real: ( fun_int_real * filter_real * filter_int ) > $o ).

tff(pred_def_48,type,
    filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).

tff(pred_def_49,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_50,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_51,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_52,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_53,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_54,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_55,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_56,type,
    bij_betw_nat_int: ( fun_nat_int * set_nat * set_int ) > $o ).

tff(pred_def_57,type,
    bij_be6293887246118711976st_nat: ( fun_nat_list_nat * set_nat * set_list_nat ) > $o ).

tff(pred_def_58,type,
    bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_59,type,
    bij_be4790990086886966983at_nat: ( fun_na3635074868517587788at_nat * set_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_60,type,
    inj_on_int_nat: ( fun_int_nat * set_int ) > $o ).

tff(pred_def_61,type,
    inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).

tff(pred_def_62,type,
    inj_on2178005380612969504at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_63,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_64,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_65,type,
    inj_on6343450744447823682at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_66,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_67,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_68,type,
    semila1248733672344298208er_nat: ( fun_nat_fun_nat_nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_69,type,
    quotie1194848508323700631at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr5932607294251420486t_bool ) > $o ).

tff(pred_def_70,type,
    quotie6870213296501934825t_real: ( fun_fu2636726645394866687t_bool * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu990398353789569848l_bool ) > $o ).

tff(pred_def_71,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_72,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool * option4927543243414619207at_nat ) > $o ).

tff(pred_def_73,type,
    order_2888998067076097458on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_74,type,
    ord_le72135733267957522d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_75,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_76,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_77,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_78,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_79,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_80,type,
    ord_le1926595141338095240atural: ( code_natural * code_natural ) > $o ).

tff(pred_def_81,type,
    ord_le2932123472753598470d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_82,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_83,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_84,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_85,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_86,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_87,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_88,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_89,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_90,type,
    quotie6776551016481293500at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat ) > $o ).

tff(pred_def_91,type,
    quotie8981163687542601860t_real: ( fun_fu2636726645394866687t_bool * fun_fun_nat_rat_real * fun_real_fun_nat_rat ) > $o ).

tff(pred_def_92,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_93,type,
    transp_fun_nat_rat: fun_fu2636726645394866687t_bool > $o ).

tff(pred_def_94,type,
    dvd_dvd_Code_natural: ( code_natural * code_natural ) > $o ).

tff(pred_def_95,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_96,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_97,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_98,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_99,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_100,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_101,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_102,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_103,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_104,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_105,type,
    accp_P8126237942716283194atural: ( fun_Pr4637083014979798189l_bool * produc7822875418678951345atural ) > $o ).

tff(pred_def_106,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_107,type,
    accp_P4275260045618599050at_nat: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > $o ).

tff(pred_def_108,type,
    accp_P6183159247885693666d_enat: ( fun_Pr5442483421567724333t_bool * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_109,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_110,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_111,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_112,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_113,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_114,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_115,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_116,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_117,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_118,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_119,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_120,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_121,type,
    pp: bool > $o ).

tff(pred_def_122,type,
    sP0: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_123,type,
    sP1: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_124,type,
    sP2: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_125,type,
    sP3: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_126,type,
    sP4: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_127,type,
    sP5: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_128,type,
    sP6: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_129,type,
    sP7: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_130,type,
    sP8: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_131,type,
    sP9: ( bool * int * bool * int ) > $o ).

tff(pred_def_132,type,
    sP10: ( int * bool * int * bool ) > $o ).

tff(pred_def_133,type,
    sP11: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_134,type,
    sP12: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_135,type,
    sP13: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_136,type,
    sP14: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_137,type,
    sP15: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_138,type,
    sP16: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_139,type,
    sP17: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_140,type,
    sP18: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_141,type,
    sP19: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_142,type,
    sP20: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_143,type,
    sP21: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_144,type,
    sP22: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_145,type,
    sP23: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_146,type,
    sP24: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_147,type,
    sP25: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_148,type,
    sP26: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_149,type,
    sP27: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_150,type,
    sP28: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_151,type,
    sP29: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_152,type,
    sP30: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_153,type,
    sP31: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_154,type,
    sP32: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_155,type,
    sP33: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_156,type,
    sP34: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_157,type,
    sP35: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_158,type,
    sP36: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_159,type,
    sP37: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_160,type,
    sP38: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_161,type,
    sP39: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_162,type,
    sP40: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_163,type,
    sP41: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_164,type,
    sP42: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_165,type,
    sP43: ( bool * nat * bool ) > $o ).

tff(pred_def_166,type,
    sP44: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_167,type,
    sP45: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_168,type,
    sP46: ( list_VEBT_VEBT * nat * nat * nat * nat * bool ) > $o ).

tff(pred_def_169,type,
    sP47: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_170,type,
    sP48: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_171,type,
    sP49: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_172,type,
    sP50: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_173,type,
    sP51: ( bool * nat * bool ) > $o ).

tff(pred_def_174,type,
    sP52: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_175,type,
    sP53: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_176,type,
    sP54: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_177,type,
    sP55: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_178,type,
    sP56: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_179,type,
    sP57: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_180,type,
    sP58: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_181,type,
    sP59: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_182,type,
    sP60: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_183,type,
    sP61: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_184,type,
    sP62: ( fun_int_bool * int ) > $o ).

tff(pred_def_185,type,
    sP63: fun_int_bool > $o ).

tff(pred_def_186,type,
    sP64: ( real * num * real ) > $o ).

tff(pred_def_187,type,
    sP65: ( real * real * num ) > $o ).

tff(pred_def_188,type,
    sP66: ( real * real * num ) > $o ).

tff(pred_def_189,type,
    sP67: ( real * num * real ) > $o ).

tff(pred_def_190,type,
    sP68: ( real * num * real ) > $o ).

tff(pred_def_191,type,
    sP69: ( real * real * num ) > $o ).

tff(pred_def_192,type,
    sP70: ( real * real * num ) > $o ).

tff(pred_def_193,type,
    sP71: ( real * num * real ) > $o ).

tff(pred_def_194,type,
    sP72: ( real * real * real ) > $o ).

tff(pred_def_195,type,
    sP73: ( real * real * real ) > $o ).

tff(pred_def_196,type,
    sP74: ( real * real * real ) > $o ).

tff(pred_def_197,type,
    sP75: ( real * real * real ) > $o ).

tff(pred_def_198,type,
    sP76: ( real * real * real ) > $o ).

tff(pred_def_199,type,
    sP77: ( real * real * real ) > $o ).

tff(pred_def_200,type,
    sP78: ( real * real * real ) > $o ).

tff(pred_def_201,type,
    sP79: ( real * real * real ) > $o ).

tff(pred_def_202,type,
    sP80: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_203,type,
    sP81: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_204,type,
    sP82: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(f1,axiom,
    ! [X0: nat] :
      ( ( X0 != zero_zero_nat )
    <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_bot__nat__0_Onot__eq__extremum) ).

tff(f110,axiom,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109__C3_Ohyps_C_I1_J) ).

tff(f119,axiom,
    ! [X0: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_valid__0__not) ).

tff(f10636,conjecture,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10637,negated_conjecture,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
    inference(negated_conjecture,[status(cth)],[f10636]) ).

tff(f10638,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
    inference(flattening,[],[f10637]) ).

tff(f12783,plain,
    ! [X0: nat] :
      ( ( ( X0 != zero_zero_nat )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ( zero_zero_nat = X0 ) ) ),
    inference(nnf_transformation,[],[f1]) ).

tff(f14318,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
    inference(cnf_transformation,[],[f10638]) ).

tff(f14445,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
      | ( zero_zero_nat = X0 ) ),
    inference(cnf_transformation,[],[f12783]) ).

tff(f14448,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
    inference(cnf_transformation,[],[f110]) ).

tff(f14629,plain,
    ! [X0: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),zero_zero_nat)),
    inference(cnf_transformation,[],[f119]) ).

tff(f20411,plain,
    zero_zero_nat = m,
    inference(resolution,[],[f14445,f14318]) ).

tff(f20413,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
    inference(superposition,[],[f14448,f20411]) ).

tff(f20415,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f20413,f14629]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP225_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.45  % Computer : n004.cluster.edu
% 0.15/0.45  % Model    : x86_64 x86_64
% 0.15/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45  % Memory   : 8046.5625MB
% 0.15/0.45  % OS       : Linux 6.8.0-71-generic
% 0.15/0.45  % CPULimit : 300
% 0.15/0.45  % WCLimit  : 300
% 0.15/0.45  % DateTime : Sun Sep 27 12:27:52 UTC 2026
% 0.15/0.45  % CPUTime  : 
% 0.15/0.45  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.51  Running first-order theorem proving
% 0.19/0.51  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.75/4.45  % (3449339)Detected formulas, will run a generic FOF schedule.
% 18.75/4.45  % (3449346)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=228862814:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 18.75/4.45  % (3449352)dis-21_1_sil=8000:lcm=predicate:random_seed=3827857006:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 18.75/4.45  % (3449349)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3198046481:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 18.75/4.45  % (3449348)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=620738667:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 18.75/4.45  % (3449347)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=1552688340:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 18.75/4.45  % (3449351)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=780221234:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 18.75/4.45  % (3449350)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3165139312:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 18.75/4.45  % (3449352)Instruction limit reached! 
% 18.75/4.45  % (3449352)------------------------------
% 18.75/4.45  % (3449352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/4.45  % (3449352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/4.45  % (3449352)CaDiCaL version: 2.1.3
% 18.75/4.45  % (3449352)Termination reason: Instruction limit
% 18.75/4.45  % (3449352)Termination phase: Preprocessing 2
% 18.75/4.45  % (3449352)Time elapsed: 0.077 s
% 18.75/4.45  % (3449352)Peak memory usage: 96 MB
% 18.75/4.45  % (3449352)Instructions burned: 130 (million)
% 18.75/4.45  % (3449349)Refutation not found, incomplete strategy
% 18.75/4.45  % (3449349)------------------------------
% 18.75/4.45  % (3449349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/4.45  % (3449349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/4.45  % (3449349)CaDiCaL version: 2.1.3
% 18.75/4.45  % (3449349)Termination reason: Refutation not found, incomplete strategy
% 18.75/4.45  % (3449349)Time elapsed: 0.082 s
% 18.75/4.45  % (3449349)Peak memory usage: 98 MB
% 18.75/4.45  % (3449349)Instructions burned: 82 (million)
% 18.75/4.45  % (3449351)Instruction limit reached! 
% 18.75/4.45  % (3449351)------------------------------
% 18.75/4.45  % (3449351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/4.45  % (3449351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/4.45  % (3449351)CaDiCaL version: 2.1.3
% 18.75/4.45  % (3449351)Termination reason: Instruction limit
% 18.75/4.45  % (3449351)Termination phase: Property scanning
% 18.75/4.45  % (3449351)Time elapsed: 0.113 s
% 18.75/4.45  % (3449351)Peak memory usage: 94 MB
% 18.75/4.45  % (3449351)Instructions burned: 139 (million)
% 18.75/4.45  % (3449350)Instruction limit reached! 
% 18.75/4.45  % (3449350)------------------------------
% 18.75/4.45  % (3449350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/4.45  % (3449350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/4.45  % (3449350)CaDiCaL version: 2.1.3
% 18.75/4.45  % (3449350)Termination reason: Instruction limit
% 18.75/4.45  % (3449350)Termination phase: Saturation
% 18.75/4.45  % (3449350)Time elapsed: 0.117 s
% 18.75/4.45  % (3449350)Peak memory usage: 98 MB
% 18.75/4.45  % (3449350)Instructions burned: 119 (million)
% 18.75/4.45  % (3449360)lrs+10_1_sil=8000:sp=occurrence:random_seed=2062096598:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 18.75/4.45  % (3449360)Instruction limit reached! 
% 18.75/4.45  % (3449360)------------------------------
% 18.75/4.45  % (3449360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/4.45  % (3449360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/4.45  % (3449360)CaDiCaL version: 2.1.3
% 18.75/4.45  % (3449360)Termination reason: Instruction limit
% 18.75/4.45  % (3449360)Termination phase: Saturation
% 18.75/4.45  % (3449360)Time elapsed: 0.143 s
% 18.75/4.45  % (3449360)Peak memory usage: 100 MB
% 18.75/4.45  % (3449360)Instructions burned: 286 (million)
% 30.81/6.13  % (3449362)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3175716364:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 30.81/6.13  % (3449361)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2514520513:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 30.81/6.13  % (3449349)------------------------------
% 30.81/6.13  % (3449349)------------------------------
% 30.81/6.13  % (3449361)Instruction limit reached! 
% 30.81/6.13  % (3449361)------------------------------
% 30.81/6.13  % (3449361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.81/6.13  % (3449361)CaDiCaL version: 2.1.3
% 30.81/6.13  % (3449361)Termination reason: Instruction limit
% 30.81/6.13  % (3449361)Termination phase: Property scanning
% 30.81/6.13  % (3449361)Time elapsed: 0.127 s
% 30.81/6.13  % (3449361)Peak memory usage: 94 MB
% 30.81/6.13  % (3449361)Instructions burned: 158 (million)
% 30.81/6.13  % (3449364)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=727849619:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 30.81/6.13  % (3449362)Instruction limit reached! 
% 30.81/6.13  % (3449362)------------------------------
% 30.81/6.13  % (3449362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.81/6.13  % (3449362)CaDiCaL version: 2.1.3
% 30.81/6.13  % (3449362)Termination reason: Instruction limit
% 30.81/6.13  % (3449362)Termination phase: Saturation
% 30.81/6.13  % (3449362)Time elapsed: 0.314 s
% 30.81/6.13  % (3449362)Peak memory usage: 100 MB
% 30.81/6.13  % (3449362)Instructions burned: 325 (million)
% 30.81/6.13  % (3449364)Instruction limit reached! 
% 30.81/6.13  % (3449364)------------------------------
% 30.81/6.13  % (3449364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.81/6.13  % (3449364)CaDiCaL version: 2.1.3
% 30.81/6.13  % (3449364)Termination reason: Instruction limit
% 30.81/6.13  % (3449364)Termination phase: SInE selection
% 30.81/6.13  % (3449364)Time elapsed: 0.160 s
% 30.81/6.13  % (3449364)Peak memory usage: 94 MB
% 30.81/6.13  % (3449364)Instructions burned: 250 (million)
% 30.81/6.13  % (3449368)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3521515219:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 30.81/6.13  % (3449367)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3647287858:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 30.81/6.13  % (3449370)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2900001355:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 30.81/6.13  % (3449373)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2181508863:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 30.81/6.13  % (3449367)Instruction limit reached! 
% 30.81/6.13  % (3449367)------------------------------
% 30.81/6.13  % (3449367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.81/6.13  % (3449367)CaDiCaL version: 2.1.3
% 30.81/6.13  % (3449367)Termination reason: Instruction limit
% 30.81/6.13  % (3449367)Termination phase: Property scanning
% 30.81/6.13  % (3449367)Time elapsed: 0.274 s
% 30.81/6.13  % (3449367)Peak memory usage: 100 MB
% 30.81/6.13  % (3449367)Instructions burned: 295 (million)
% 30.81/6.13  % (3449370)Instruction limit reached! 
% 30.81/6.13  % (3449370)------------------------------
% 30.81/6.13  % (3449370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.81/6.13  % (3449370)CaDiCaL version: 2.1.3
% 30.81/6.13  % (3449370)Termination reason: Instruction limit
% 30.81/6.13  % (3449370)Termination phase: Preprocessing 1
% 30.81/6.13  % (3449370)Time elapsed: 0.117 s
% 30.81/6.13  % (3449370)Peak memory usage: 94 MB
% 30.81/6.13  % (3449370)Instructions burned: 114 (million)
% 30.81/6.13  % (3449373)Instruction limit reached! 
% 30.81/6.13  % (3449373)------------------------------
% 30.81/6.13  % (3449373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.81/6.13  % (3449373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449373)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449373)Termination reason: Instruction limit
% 32.51/7.03  % (3449373)Termination phase: Preprocessing 3
% 32.51/7.03  % (3449373)Time elapsed: 0.135 s
% 32.51/7.03  % (3449373)Peak memory usage: 99 MB
% 32.51/7.03  % (3449373)Instructions burned: 127 (million)
% 32.51/7.03  % (3449376)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1205611573:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 32.51/7.03  % (3449377)lrs+10_1_sil=8000:sp=occurrence:random_seed=2935491880:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 32.51/7.03  % (3449378)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3095274189:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 32.51/7.03  % (3449376)Instruction limit reached! 
% 32.51/7.03  % (3449376)------------------------------
% 32.51/7.03  % (3449376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449376)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449376)Termination reason: Instruction limit
% 32.51/7.03  % (3449376)Termination phase: Property scanning
% 32.51/7.03  % (3449376)Time elapsed: 0.094 s
% 32.51/7.03  % (3449376)Peak memory usage: 94 MB
% 32.51/7.03  % (3449376)Instructions burned: 115 (million)
% 32.51/7.03  % (3449382)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2526609599:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 32.51/7.03  % (3449378)Instruction limit reached! 
% 32.51/7.03  % (3449378)------------------------------
% 32.51/7.03  % (3449378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449378)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449378)Termination reason: Instruction limit
% 32.51/7.03  % (3449378)Termination phase: Property scanning
% 32.51/7.03  % (3449378)Time elapsed: 0.405 s
% 32.51/7.03  % (3449378)Peak memory usage: 106 MB
% 32.51/7.03  % (3449378)Instructions burned: 437 (million)
% 32.51/7.03  % (3449384)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2774401189:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 32.51/7.03  % (3449377)Instruction limit reached! 
% 32.51/7.03  % (3449377)------------------------------
% 32.51/7.03  % (3449377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449377)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449377)Termination reason: Instruction limit
% 32.51/7.03  % (3449377)Termination phase: Saturation
% 32.51/7.03  % (3449377)Time elapsed: 0.791 s
% 32.51/7.03  % (3449377)Peak memory usage: 107 MB
% 32.51/7.03  % (3449377)Instructions burned: 907 (million)
% 32.51/7.03  % (3449368)Instruction limit reached! 
% 32.51/7.03  % (3449368)------------------------------
% 32.51/7.03  % (3449368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449368)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449368)Termination reason: Instruction limit
% 32.51/7.03  % (3449368)Termination phase: Saturation
% 32.51/7.03  % (3449368)Time elapsed: 1.394 s
% 32.51/7.03  % (3449368)Peak memory usage: 265 MB
% 32.51/7.03  % (3449368)Instructions burned: 2352 (million)
% 32.51/7.03  % (3449384)Instruction limit reached! 
% 32.51/7.03  % (3449384)------------------------------
% 32.51/7.03  % (3449384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449384)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449384)Termination reason: Instruction limit
% 32.51/7.03  % (3449384)Termination phase: NewCNF
% 32.51/7.03  % (3449384)Time elapsed: 0.147 s
% 32.51/7.03  % (3449384)Peak memory usage: 98 MB
% 32.51/7.03  % (3449384)Instructions burned: 134 (million)
% 32.51/7.03  % (3449388)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=3836671518:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 32.51/7.03  % (3449386)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1766724447:st=8:i=592:sd=3:ep=RST:ss=axioms_2968 on theBenchmark for (2968ds/592Mi)
% 32.51/7.03  % (3449388)Instruction limit reached! 
% 32.51/7.03  % (3449388)------------------------------
% 32.51/7.03  % (3449388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449388)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449388)Termination reason: Instruction limit
% 32.51/7.03  % (3449388)Termination phase: Property scanning
% 32.51/7.03  % (3449388)Time elapsed: 0.055 s
% 32.51/7.03  % (3449388)Peak memory usage: 94 MB
% 32.51/7.03  % (3449388)Instructions burned: 126 (million)
% 32.51/7.03  % (3449387)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3373197853:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 32.51/7.03  % (3449392)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3004144821:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 32.51/7.03  % (3449392)Instruction limit reached! 
% 32.51/7.03  % (3449392)------------------------------
% 32.51/7.03  % (3449392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449392)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449392)Termination reason: Instruction limit
% 32.51/7.03  % (3449392)Termination phase: Property scanning
% 32.51/7.03  % (3449392)Time elapsed: 0.060 s
% 32.51/7.03  % (3449392)Peak memory usage: 94 MB
% 32.51/7.03  % (3449392)Instructions burned: 136 (million)
% 32.51/7.03  % (3449386)Instruction limit reached! 
% 32.51/7.03  % (3449386)------------------------------
% 32.51/7.03  % (3449386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449386)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449386)Termination reason: Instruction limit
% 32.51/7.03  % (3449386)Termination phase: Function definition elimination
% 32.51/7.03  % (3449386)Time elapsed: 0.549 s
% 32.51/7.03  % (3449386)Peak memory usage: 104 MB
% 32.51/7.03  % (3449386)Instructions burned: 592 (million)
% 32.51/7.03  % (3449394)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4054302110:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 32.51/7.03  % (3449394)Refutation not found, incomplete strategy
% 32.51/7.03  % (3449394)------------------------------
% 32.51/7.03  % (3449394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449394)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449394)Termination reason: Refutation not found, incomplete strategy
% 32.51/7.03  % (3449394)Time elapsed: 0.046 s
% 32.51/7.03  % (3449394)Peak memory usage: 98 MB
% 32.51/7.03  % (3449394)Instructions burned: 79 (million)
% 32.51/7.03  % (3449394)------------------------------
% 32.51/7.03  % (3449394)------------------------------
% 32.51/7.03  % (3449396)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3080406249:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 32.51/7.03  % (3449398)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=1764798253:i=6060:aac=none:ins=25_2957 on theBenchmark for (2957ds/6060Mi)
% 32.51/7.03  % (3449396)Instruction limit reached! 
% 32.51/7.03  % (3449396)------------------------------
% 32.51/7.03  % (3449396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449396)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449396)Termination reason: Instruction limit
% 32.51/7.03  % (3449396)Termination phase: Saturation
% 32.51/7.03  % (3449396)Time elapsed: 0.387 s
% 32.51/7.03  % (3449396)Peak memory usage: 101 MB
% 32.51/7.03  % (3449396)Instructions burned: 432 (million)
% 32.51/7.03  % (3449400)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=3594837410:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2953 on theBenchmark for (2953ds/150Mi)
% 32.51/7.03  % (3449400)Instruction limit reached! 
% 32.51/7.03  % (3449400)------------------------------
% 32.51/7.03  % (3449400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.51/7.03  % (3449400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/7.03  % (3449400)CaDiCaL version: 2.1.3
% 32.51/7.03  % (3449400)Termination reason: Instruction limit
% 32.51/7.03  % (3449400)Termination phase: Naming
% 32.51/7.03  % (3449400)Time elapsed: 0.161 s
% 32.51/7.03  % (3449400)Peak memory usage: 98 MB
% 32.51/7.03  % (3449400)Instructions burned: 152 (million)
% 32.51/7.03  % (3449402)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4239419154:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 32.51/7.03  % (3449382)First to succeed.
% 32.51/7.03  % (3449382)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3449339"
% 32.51/7.03  % (3449382)Refutation found. Thanks to Tanya!
% 32.51/7.03  % SZS status Theorem for theBenchmark
% 32.51/7.03  % SZS output start Proof for theBenchmark
% See solution above
% 37.86/7.28  % (3449382)------------------------------
% 37.86/7.28  % (3449382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/7.28  % (3449382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/7.28  % (3449382)CaDiCaL version: 2.1.3
% 37.86/7.28  % (3449382)Termination reason: Refutation
% 37.86/7.28  % (3449382)Time elapsed: 2.794 s
% 37.86/7.28  % (3449382)Peak memory usage: 195 MB
% 37.86/7.28  % (3449382)Instructions burned: 2859 (million)
% 37.86/7.28  % (3449382)------------------------------
% 37.86/7.28  % (3449382)------------------------------
% 37.86/7.28  % (3449339)Success in time 6.003 s
% 37.86/7.28  % Vampire exiting
%------------------------------------------------------------------------------