Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP258_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 11:32:08 AM UTC 2026

% Result   : Theorem 71.08s 16.17s
% Output   : Refutation 103.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  154 (  50 unt;   0 typ;   8 def)
%            Number of atoms       :  355 (  70 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  354 ( 153   ~; 149   |;  30   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :  430 ( 429 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  238 ( 236 usr;   9 prp; 0-5 aty)
%            Number of functors    : 2469 (2469 usr; 470 con; 0-8 aty)
%            Number of variables   :  152 (   0 sgn 149   !;   3   ?; 152   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_Pr8292650585710461613t_bool: $tType ).

tff(type_def_6,type,
    fun_Pr205781412008949125m_bool: $tType ).

tff(type_def_7,type,
    fun_Pr4582292742318232305t_bool: $tType ).

tff(type_def_8,type,
    fun_Pr7353992663003996845m_bool: $tType ).

tff(type_def_9,type,
    fun_Pr4617804334418790189t_bool: $tType ).

tff(type_def_10,type,
    produc1260151622200656695at_nat: $tType ).

tff(type_def_11,type,
    produc533602882674032673at_nat: $tType ).

tff(type_def_12,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_13,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_14,type,
    fun_op5682630191948829869t_bool: $tType ).

tff(type_def_15,type,
    produc6167219322466932359on_num: $tType ).

tff(type_def_16,type,
    produc3700678068921409119on_nat: $tType ).

tff(type_def_17,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_18,type,
    produc7004362771917097900on_nat: $tType ).

tff(type_def_19,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_20,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_21,type,
    produc9217583074051984497at_nat: $tType ).

tff(type_def_22,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_23,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_24,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_25,type,
    fun_fu3191020621175015362x_bool: $tType ).

tff(type_def_26,type,
    fun_fu6897202038601531823t_bool: $tType ).

tff(type_def_27,type,
    fun_fu7672510408924296255t_bool: $tType ).

tff(type_def_28,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_29,type,
    fun_fu7732904369943091395at_nat: $tType ).

tff(type_def_30,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_31,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_32,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_33,type,
    fun_fu1584491925252458057omplex: $tType ).

tff(type_def_34,type,
    fun_fu8084223252616112272omplex: $tType ).

tff(type_def_35,type,
    fun_fu5995210064384465734x_bool: $tType ).

tff(type_def_36,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_37,type,
    fun_fu2950424802767353155m_bool: $tType ).

tff(type_def_38,type,
    fun_fu7164412255009898145t_bool: $tType ).

tff(type_def_39,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_40,type,
    fun_fu7100649987335273288l_bool: $tType ).

tff(type_def_41,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_42,type,
    fun_fu8382797250367883996t_bool: $tType ).

tff(type_def_43,type,
    fun_fu5129045444369776328t_bool: $tType ).

tff(type_def_44,type,
    fun_fu8998703528969179354omplex: $tType ).

tff(type_def_45,type,
    fun_op775672374849087042m_bool: $tType ).

tff(type_def_46,type,
    fun_op9100744243108201484t_bool: $tType ).

tff(type_def_47,type,
    fun_op7732454363416259258t_bool: $tType ).

tff(type_def_48,type,
    fun_op5698422665285572208t_bool: $tType ).

tff(type_def_49,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_50,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_51,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_52,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_53,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_54,type,
    fun_fu2568719150003003596l_bool: $tType ).

tff(type_def_55,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_56,type,
    fun_co3732688428756473980omplex: $tType ).

tff(type_def_57,type,
    fun_fu6750725090257165812l_bool: $tType ).

tff(type_def_58,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_59,type,
    fun_fu8639250699203096928t_bool: $tType ).

tff(type_def_60,type,
    fun_fu3401574108658714444t_bool: $tType ).

tff(type_def_61,type,
    fun_fu2971308621445215880t_bool: $tType ).

tff(type_def_62,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_63,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_64,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_65,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_66,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_67,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_68,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_69,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_70,type,
    fun_Co8502721031311864414nteger: $tType ).

tff(type_def_71,type,
    fun_fu3306995184869731826t_real: $tType ).

tff(type_def_72,type,
    fun_se2100927751953696370t_real: $tType ).

tff(type_def_73,type,
    fun_Pr1750583862126158961x_bool: $tType ).

tff(type_def_74,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_75,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_76,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_77,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_78,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_79,type,
    fun_fu2454420574033104442at_nat: $tType ).

tff(type_def_80,type,
    fun_fu4528473944208963392omplex: $tType ).

tff(type_def_81,type,
    fun_fu3739269683040691718nt_int: $tType ).

tff(type_def_82,type,
    fun_fu8303687057036190147t_bool: $tType ).

tff(type_def_83,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_84,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_85,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_86,type,
    fun_fu3477889739401271834t_real: $tType ).

tff(type_def_87,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_88,type,
    set_Pr6308028481084910985omplex: $tType ).

tff(type_def_89,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_90,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_91,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_92,type,
    fun_re6135230694098607860t_real: $tType ).

tff(type_def_93,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_94,type,
    fun_fu8064956510386623256t_real: $tType ).

tff(type_def_95,type,
    fun_re7819166435457029784t_real: $tType ).

tff(type_def_96,type,
    fun_fu4806068833880117316t_real: $tType ).

tff(type_def_97,type,
    fun_fu2115079063411676732t_real: $tType ).

tff(type_def_98,type,
    fun_fu4540635375566031512t_real: $tType ).

tff(type_def_99,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_100,type,
    fun_Pr5591635095200564269t_bool: $tType ).

tff(type_def_101,type,
    fun_Pr8133618145831759733t_bool: $tType ).

tff(type_def_102,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_103,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_104,type,
    fun_fu5519326811792979714x_bool: $tType ).

tff(type_def_105,type,
    fun_se2925769915755310977x_bool: $tType ).

tff(type_def_106,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_107,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_108,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_109,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_110,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_111,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_112,type,
    fun_fu923337204662071120nt_int: $tType ).

tff(type_def_113,type,
    fun_ra8505079968215247908at_rat: $tType ).

tff(type_def_114,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_115,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_116,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_117,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_118,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_119,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_120,type,
    fun_fu5641360819561228055l_bool: $tType ).

tff(type_def_121,type,
    fun_op1962577433978643573m_bool: $tType ).

tff(type_def_122,type,
    fun_op1064277265382982207t_bool: $tType ).

tff(type_def_123,type,
    fun_op8690601775248757823m_bool: $tType ).

tff(type_def_124,type,
    fun_op7792301606653096457t_bool: $tType ).

tff(type_def_125,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_126,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_127,type,
    fun_fu6356453956411242500x_bool: $tType ).

tff(type_def_128,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_129,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_130,type,
    set_Pr5488025237498180813et_nat: $tType ).

tff(type_def_131,type,
    set_Pr2522554150109002629et_int: $tType ).

tff(type_def_132,type,
    produc8064648209034914857omplex: $tType ).

tff(type_def_133,type,
    fun_fu5204410621998794179x_bool: $tType ).

tff(type_def_134,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_135,type,
    fun_op2627489687811228755t_bool: $tType ).

tff(type_def_136,type,
    fun_Co3393511490457469770omplex: $tType ).

tff(type_def_137,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_138,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_139,type,
    fun_se7512233253626865466omplex: $tType ).

tff(type_def_140,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_141,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_142,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_143,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_144,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_145,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_146,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_147,type,
    fun_fu914841811607101702l_bool: $tType ).

tff(type_def_148,type,
    fun_Pr2834072668759824765t_bool: $tType ).

tff(type_def_149,type,
    fun_Pr8281063099935739201l_bool: $tType ).

tff(type_def_150,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_151,type,
    fun_Pr8073036449086768093x_bool: $tType ).

tff(type_def_152,type,
    fun_na2508794161012263405T_bool: $tType ).

tff(type_def_153,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_154,type,
    fun_Co2315910201472382152t_real: $tType ).

tff(type_def_155,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_156,type,
    fun_fu4346542433904371390t_bool: $tType ).

tff(type_def_157,type,
    fun_fu7152481525987436038t_bool: $tType ).

tff(type_def_158,type,
    fun_se707272970763642173t_bool: $tType ).

tff(type_def_159,type,
    fun_se6049520964208396421t_bool: $tType ).

tff(type_def_160,type,
    fun_Co3833597871255845228et_nat: $tType ).

tff(type_def_161,type,
    fun_Co8243421489322702280et_int: $tType ).

tff(type_def_162,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_163,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_164,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_165,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_166,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_167,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_168,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_169,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_170,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_171,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_172,type,
    fun_fu5874800227564645059l_bool: $tType ).

tff(type_def_173,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_174,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_175,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_176,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_177,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_178,type,
    list_P8603913368774139775r_bool: $tType ).

tff(type_def_179,type,
    fun_fu2277326744902863452l_bool: $tType ).

tff(type_def_180,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_181,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_182,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_183,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_184,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_185,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_186,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_187,type,
    set_Pr9123050470547338789r_bool: $tType ).

tff(type_def_188,type,
    fun_fu7195134416904984768t_bool: $tType ).

tff(type_def_189,type,
    fun_fu549321512867696136t_bool: $tType ).

tff(type_def_190,type,
    fun_Pr4050773816208733250omplex: $tType ).

tff(type_def_191,type,
    fun_na376774557589183419x_bool: $tType ).

tff(type_def_192,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_193,type,
    produc7819656566062154093et_nat: $tType ).

tff(type_def_194,type,
    produc2115011035271226405et_int: $tType ).

tff(type_def_195,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_196,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_197,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_198,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_199,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_200,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_201,type,
    fun_fu3052598110916186900t_bool: $tType ).

tff(type_def_202,type,
    fun_na4307237274036209000m_bool: $tType ).

tff(type_def_203,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_204,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_205,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_206,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_207,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_208,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_209,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_210,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_211,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_212,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_213,type,
    fun_Pr9030630356418945121l_bool: $tType ).

tff(type_def_214,type,
    fun_nu9041852840018610706omplex: $tType ).

tff(type_def_215,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_216,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_217,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_218,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_219,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_220,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_221,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_222,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_223,type,
    fun_Pr672294278902479040t_real: $tType ).

tff(type_def_224,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_225,type,
    fun_Pr6287530515171585797m_bool: $tType ).

tff(type_def_226,type,
    fun_Pr1727971692872576719m_bool: $tType ).

tff(type_def_227,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_228,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_229,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_230,type,
    fun_na205931550456536010l_bool: $tType ).

tff(type_def_231,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_232,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_233,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_234,type,
    fun_Pr982841511892225912nt_int: $tType ).

tff(type_def_235,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_236,type,
    fun_na7919044170365968317t_bool: $tType ).

tff(type_def_237,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_238,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_239,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_240,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_241,type,
    fun_se1654316830156123260t_real: $tType ).

tff(type_def_242,type,
    fun_nu4698968662094489488t_real: $tType ).

tff(type_def_243,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_244,type,
    fun_na3666575854997362246t_real: $tType ).

tff(type_def_245,type,
    fun_Co3748208068438171869l_bool: $tType ).

tff(type_def_246,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_247,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_248,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_249,type,
    fun_se1179353343636554400at_nat: $tType ).

tff(type_def_250,type,
    fun_se4827636401813558708nt_int: $tType ).

tff(type_def_251,type,
    fun_nu530747996811530292et_nat: $tType ).

tff(type_def_252,type,
    fun_nu4940571614878387344et_int: $tType ).

tff(type_def_253,type,
    fun_na3896347130304379370et_nat: $tType ).

tff(type_def_254,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_255,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_256,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_257,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_258,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_259,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_260,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_261,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_262,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_263,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_264,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_265,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_266,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_267,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_268,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_269,type,
    set_Pr8218934625190621173um_num: $tType ).

tff(type_def_270,type,
    set_Pr6200539531224447659at_num: $tType ).

tff(type_def_271,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_272,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_273,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_274,type,
    fun_na5723442673449079972x_real: $tType ).

tff(type_def_275,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_276,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_277,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_278,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_279,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_280,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_281,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_282,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_283,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_284,type,
    fun_na6801867027684862029l_bool: $tType ).

tff(type_def_285,type,
    fun_li356976171784545970x_bool: $tType ).

tff(type_def_286,type,
    fun_bo1841576699660343469l_bool: $tType ).

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

tff(type_def_288,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

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

tff(type_def_292,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_293,type,
    fun_Ex5852502975177633731d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_313,type,
    fun_co8153928105989009288nteger: $tType ).

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

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

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

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

tff(type_def_318,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_320,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_321,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

tff(type_def_325,type,
    product_prod_num_num: $tType ).

tff(type_def_326,type,
    product_prod_nat_num: $tType ).

tff(type_def_327,type,
    product_prod_nat_nat: $tType ).

tff(type_def_328,type,
    product_prod_int_int: $tType ).

tff(type_def_329,type,
    fun_VEBT_VEBT_bool: $tType ).

tff(type_def_330,type,
    fun_re6978948838062957830nteger: $tType ).

tff(type_def_331,type,
    fun_num_set_real: $tType ).

tff(type_def_332,type,
    set_list_complex: $tType ).

tff(type_def_333,type,
    fun_VEBT_VEBT_nat: $tType ).

tff(type_def_334,type,
    fun_set_nat_bool: $tType ).

tff(type_def_335,type,
    fun_set_int_bool: $tType ).

tff(type_def_336,type,
    fun_bool_set_nat: $tType ).

tff(type_def_337,type,
    fun_bool_set_int: $tType ).

tff(type_def_338,type,
    fun_Co8822979462182099027r_bool: $tType ).

tff(type_def_339,type,
    fun_set_nat_nat: $tType ).

tff(type_def_340,type,
    fun_num_set_nat: $tType ).

tff(type_def_341,type,
    fun_num_set_int: $tType ).

tff(type_def_342,type,
    fun_num_Code_integer: $tType ).

tff(type_def_343,type,
    fun_nat_set_nat: $tType ).

tff(type_def_344,type,
    fun_nat_set_int: $tType ).

tff(type_def_345,type,
    fun_nat_Code_integer: $tType ).

tff(type_def_346,type,
    fun_int_Code_integer: $tType ).

tff(type_def_347,type,
    fun_complex_complex: $tType ).

tff(type_def_348,type,
    fun_Code_integer_num: $tType ).

tff(type_def_349,type,
    fun_Code_integer_nat: $tType ).

tff(type_def_350,type,
    fun_Code_integer_int: $tType ).

tff(type_def_351,type,
    set_set_complex: $tType ).

tff(type_def_352,type,
    fun_Ex8563670519792538868t_bool: $tType ).

tff(type_def_353,type,
    set_list_bool: $tType ).

tff(type_def_354,type,
    list_VEBT_VEBT: $tType ).

tff(type_def_355,type,
    fun_real_complex: $tType ).

tff(type_def_356,type,
    fun_complex_real: $tType ).

tff(type_def_357,type,
    set_list_nat: $tType ).

tff(type_def_358,type,
    set_list_int: $tType ).

tff(type_def_359,type,
    list_Code_integer: $tType ).

tff(type_def_360,type,
    fun_complex_bool: $tType ).

tff(type_def_361,type,
    set_VEBT_VEBT: $tType ).

tff(type_def_362,type,
    fun_nat_complex: $tType ).

tff(type_def_363,type,
    fun_int_complex: $tType ).

tff(type_def_364,type,
    fun_complex_rat: $tType ).

tff(type_def_365,type,
    fun_complex_nat: $tType ).

tff(type_def_366,type,
    fun_complex_int: $tType ).

tff(type_def_367,type,
    set_set_nat: $tType ).

tff(type_def_368,type,
    set_set_int: $tType ).

tff(type_def_369,type,
    set_Code_integer: $tType ).

tff(type_def_370,type,
    set_Product_unit: $tType ).

tff(type_def_371,type,
    fun_char_nat: $tType ).

tff(type_def_372,type,
    fun_real_real: $tType ).

tff(type_def_373,type,
    fun_nat_char: $tType ).

tff(type_def_374,type,
    fun_real_bool: $tType ).

tff(type_def_375,type,
    fun_real_rat: $tType ).

tff(type_def_376,type,
    fun_real_num: $tType ).

tff(type_def_377,type,
    fun_real_nat: $tType ).

tff(type_def_378,type,
    fun_real_int: $tType ).

tff(type_def_379,type,
    fun_rat_real: $tType ).

tff(type_def_380,type,
    fun_num_real: $tType ).

tff(type_def_381,type,
    fun_nat_real: $tType ).

tff(type_def_382,type,
    fun_int_real: $tType ).

tff(type_def_383,type,
    fun_bool_bool: $tType ).

tff(type_def_384,type,
    list_complex: $tType ).

tff(type_def_385,type,
    fun_rat_bool: $tType ).

tff(type_def_386,type,
    fun_num_bool: $tType ).

tff(type_def_387,type,
    fun_nat_bool: $tType ).

tff(type_def_388,type,
    fun_int_bool: $tType ).

tff(type_def_389,type,
    fun_bool_int: $tType ).

tff(type_def_390,type,
    fun_rat_rat: $tType ).

tff(type_def_391,type,
    fun_rat_num: $tType ).

tff(type_def_392,type,
    fun_rat_nat: $tType ).

tff(type_def_393,type,
    fun_rat_int: $tType ).

tff(type_def_394,type,
    fun_num_rat: $tType ).

tff(type_def_395,type,
    fun_num_num: $tType ).

tff(type_def_396,type,
    fun_num_nat: $tType ).

tff(type_def_397,type,
    fun_num_int: $tType ).

tff(type_def_398,type,
    fun_nat_rat: $tType ).

tff(type_def_399,type,
    fun_nat_num: $tType ).

tff(type_def_400,type,
    fun_nat_nat: $tType ).

tff(type_def_401,type,
    fun_nat_int: $tType ).

tff(type_def_402,type,
    fun_int_rat: $tType ).

tff(type_def_403,type,
    fun_int_num: $tType ).

tff(type_def_404,type,
    fun_int_nat: $tType ).

tff(type_def_405,type,
    fun_int_int: $tType ).

tff(type_def_406,type,
    set_complex: $tType ).

tff(type_def_407,type,
    filter_real: $tType ).

tff(type_def_408,type,
    option_num: $tType ).

tff(type_def_409,type,
    option_nat: $tType ).

tff(type_def_410,type,
    filter_nat: $tType ).

tff(type_def_411,type,
    set_char: $tType ).

tff(type_def_412,type,
    list_real: $tType ).

tff(type_def_413,type,
    list_bool: $tType ).

tff(type_def_414,type,
    set_real: $tType ).

tff(type_def_415,type,
    list_num: $tType ).

tff(type_def_416,type,
    list_nat: $tType ).

tff(type_def_417,type,
    list_int: $tType ).

tff(type_def_418,type,
    vEBT_VEBT: $tType ).

tff(type_def_419,type,
    set_bool: $tType ).

tff(type_def_420,type,
    set_rat: $tType ).

tff(type_def_421,type,
    set_num: $tType ).

tff(type_def_422,type,
    set_nat: $tType ).

tff(type_def_423,type,
    set_int: $tType ).

tff(type_def_424,type,
    code_integer: $tType ).

tff(type_def_425,type,
    extended_enat: $tType ).

tff(type_def_426,type,
    complex: $tType ).

tff(type_def_427,type,
    char: $tType ).

tff(type_def_428,type,
    real: $tType ).

tff(type_def_429,type,
    bool: $tType ).

tff(type_def_430,type,
    rat: $tType ).

tff(type_def_431,type,
    num: $tType ).

tff(type_def_432,type,
    nat: $tType ).

tff(type_def_433,type,
    int: $tType ).

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

tff(func_def_1,type,
    aTP_Lamm_aa: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_Pr958786334691620121nt_int > fun_Pr803113274115125473t_bool ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_complex > fun_complex_bool ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_list_nat > fun_list_nat_bool ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_nat > fun_nat_bool ).

tff(func_def_6,type,
    aTP_Lamm_af: set_int > fun_int_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: vEBT_VEBT > fun_nat_fun_nat_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: vEBT_VEBT > fun_nat_fun_nat_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_complex_complex ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_real_real ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_rat_rat ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_nat_nat ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_int_int ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_re7681423839302404990l_real ).

tff(func_def_15,type,
    aTP_Lamm_ao: rat > fun_rat_rat ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_fun_nat_nat ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_int_fun_int_int ).

tff(func_def_18,type,
    aTP_Lamm_ar: set_real > fun_fu5874800227564645059l_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: set_Pr1261947904930325089at_nat > fun_fu6897202038601531823t_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: set_Pr958786334691620121nt_int > fun_fu7672510408924296255t_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: set_complex > fun_fu5204410621998794179x_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: set_list_nat > fun_fu8303687057036190147t_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_nat > fun_fu3889889255038636099t_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: set_int > fun_fu7822069302422884163t_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_complex_complex ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_real_real ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_rat_rat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_int_int ).

tff(func_def_30,type,
    aTP_Lamm_bd: set_complex > fun_na376774557589183419x_bool ).

tff(func_def_31,type,
    aTP_Lamm_be: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: set_bool > fun_na205931550456536010l_bool ).

tff(func_def_33,type,
    aTP_Lamm_bg: set_nat > fun_na5614638261385347865t_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: set_int > fun_na7919044170365968317t_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: set_complex > fun_na376774557589183419x_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: set_bool > fun_na205931550456536010l_bool ).

tff(func_def_38,type,
    aTP_Lamm_bl: set_nat > fun_na5614638261385347865t_bool ).

tff(func_def_39,type,
    aTP_Lamm_bm: set_int > fun_na7919044170365968317t_bool ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_fun_nat_bool ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_fun_nat_bool ).

tff(func_def_42,type,
    aTP_Lamm_bp: set_nat > fun_set_nat_bool ).

tff(func_def_43,type,
    aTP_Lamm_bq: set_complex > fun_set_complex_bool ).

tff(func_def_44,type,
    aTP_Lamm_br: set_int > fun_set_int_bool ).

tff(func_def_45,type,
    aTP_Lamm_bs: nat > fun_real_bool ).

tff(func_def_46,type,
    aTP_Lamm_bt: nat > fun_complex_bool ).

tff(func_def_47,type,
    aTP_Lamm_bu: int > fun_int_fun_int_bool ).

tff(func_def_48,type,
    aTP_Lamm_bv: int > fun_int_fun_int_bool ).

tff(func_def_49,type,
    aTP_Lamm_bw: int > fun_int_fun_int_bool ).

tff(func_def_50,type,
    aTP_Lamm_bx: int > fun_int_fun_int_bool ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_53,type,
    aTP_Lamm_ca: nat > fun_co1378794544173401837x_bool ).

tff(func_def_54,type,
    aTP_Lamm_cb: set_real > fun_fu914841811607101702l_bool ).

tff(func_def_55,type,
    aTP_Lamm_cc: set_real > fun_fu7100649987335273288l_bool ).

tff(func_def_56,type,
    aTP_Lamm_cd: set_nat > fun_fu4346542433904371390t_bool ).

tff(func_def_57,type,
    aTP_Lamm_ce: set_nat > fun_fu8382797250367883996t_bool ).

tff(func_def_58,type,
    aTP_Lamm_cf: set_int > fun_fu7152481525987436038t_bool ).

tff(func_def_59,type,
    aTP_Lamm_cg: set_int > fun_fu5129045444369776328t_bool ).

tff(func_def_60,type,
    aTP_Lamm_ch: set_complex > fun_fu5519326811792979714x_bool ).

tff(func_def_61,type,
    aTP_Lamm_ci: set_complex > fun_fu3191020621175015362x_bool ).

tff(func_def_62,type,
    aTP_Lamm_cj: set_real > fun_fu7376312551830202376l_bool ).

tff(func_def_63,type,
    aTP_Lamm_ck: set_real > fun_fu2568719150003003596l_bool ).

tff(func_def_64,type,
    aTP_Lamm_cl: set_nat > fun_fu7195134416904984768t_bool ).

tff(func_def_65,type,
    aTP_Lamm_cm: set_nat > fun_fu8639250699203096928t_bool ).

tff(func_def_66,type,
    aTP_Lamm_cn: set_int > fun_fu549321512867696136t_bool ).

tff(func_def_67,type,
    aTP_Lamm_co: set_int > fun_fu3401574108658714444t_bool ).

tff(func_def_68,type,
    aTP_Lamm_cp: set_complex > fun_fu6356453956411242500x_bool ).

tff(func_def_69,type,
    aTP_Lamm_cq: set_complex > fun_fu5995210064384465734x_bool ).

tff(func_def_70,type,
    aTP_Lamm_cr: set_real > fun_fu2277326744902863452l_bool ).

tff(func_def_71,type,
    aTP_Lamm_cs: set_real > fun_fu6750725090257165812l_bool ).

tff(func_def_72,type,
    aTP_Lamm_ct: set_nat > fun_fu3052598110916186900t_bool ).

tff(func_def_73,type,
    aTP_Lamm_cu: set_nat > fun_fu2971308621445215880t_bool ).

tff(func_def_74,type,
    aTP_Lamm_cv: set_real > fun_fu914841811607101702l_bool ).

tff(func_def_75,type,
    aTP_Lamm_cw: set_real > fun_fu7100649987335273288l_bool ).

tff(func_def_76,type,
    aTP_Lamm_cx: set_nat > fun_fu4346542433904371390t_bool ).

tff(func_def_77,type,
    aTP_Lamm_cy: set_nat > fun_fu8382797250367883996t_bool ).

tff(func_def_78,type,
    aTP_Lamm_cz: set_int > fun_fu7152481525987436038t_bool ).

tff(func_def_79,type,
    aTP_Lamm_da: set_int > fun_fu5129045444369776328t_bool ).

tff(func_def_80,type,
    aTP_Lamm_db: set_complex > fun_fu5519326811792979714x_bool ).

tff(func_def_81,type,
    aTP_Lamm_dc: set_complex > fun_fu3191020621175015362x_bool ).

tff(func_def_82,type,
    aTP_Lamm_dd: set_real > fun_fu7376312551830202376l_bool ).

tff(func_def_83,type,
    aTP_Lamm_de: set_real > fun_fu2568719150003003596l_bool ).

tff(func_def_84,type,
    aTP_Lamm_df: set_nat > fun_fu7195134416904984768t_bool ).

tff(func_def_85,type,
    aTP_Lamm_dg: set_nat > fun_fu8639250699203096928t_bool ).

tff(func_def_86,type,
    aTP_Lamm_dh: set_int > fun_fu549321512867696136t_bool ).

tff(func_def_87,type,
    aTP_Lamm_di: set_int > fun_fu3401574108658714444t_bool ).

tff(func_def_88,type,
    aTP_Lamm_dj: set_complex > fun_fu6356453956411242500x_bool ).

tff(func_def_89,type,
    aTP_Lamm_dk: set_complex > fun_fu5995210064384465734x_bool ).

tff(func_def_90,type,
    aTP_Lamm_dl: set_real > fun_fu2277326744902863452l_bool ).

tff(func_def_91,type,
    aTP_Lamm_dm: set_real > fun_fu6750725090257165812l_bool ).

tff(func_def_92,type,
    aTP_Lamm_dn: set_nat > fun_fu3052598110916186900t_bool ).

tff(func_def_93,type,
    aTP_Lamm_do: set_nat > fun_fu2971308621445215880t_bool ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_co1378794544173401837x_bool ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_nat_fun_nat_bool ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_Co8310303586393106575r_bool ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_int_fun_int_bool ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_nat_fun_nat_bool ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_int_int > fun_fu923337204662071120nt_int ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_int_int > fun_fu3739269683040691718nt_int ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_complex_complex > fun_fu8998703528969179354omplex ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_complex_complex > fun_fu8084223252616112272omplex ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_nat_nat > fun_fu2454420574033104442at_nat ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_nat_real > fun_fu3306995184869731826t_real ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_int_int > fun_int_fun_int_int ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_111,type,
    aTP_Lamm_eg: int > fun_fu1143798476471108391nt_int ).

tff(func_def_112,type,
    aTP_Lamm_eh: complex > fun_fu5956788528830221615omplex ).

tff(func_def_113,type,
    aTP_Lamm_ei: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_114,type,
    aTP_Lamm_ej: real > fun_fu6899955116716589935t_real ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_complex_complex > fun_fu5956788528830221615omplex ).

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

tff(func_def_118,type,
    aTP_Lamm_en: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_complex_complex > fun_co7673397065115134084omplex ).

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

tff(func_def_121,type,
    aTP_Lamm_eq: fun_int_int > fun_int_fun_int_int ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_nat_nat > fun_nat_fun_nat_nat ).

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

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

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

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

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

tff(func_def_128,type,
    aTP_Lamm_ex: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_Pr2602117396471556196at_nat > fun_fu7732904369943091395at_nat ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_nat_nat > fun_fu7002938529518989751at_nat ).

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

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

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_140,type,
    aTP_Lamm_fj: complex > fun_na1142814060743658952omplex ).

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

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

tff(func_def_143,type,
    aTP_Lamm_fm: real > fun_nat_fun_nat_real ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_nat_rat > fun_nat_rat ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_nat_int > fun_nat_int ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_nat_rat > fun_nat_rat ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_nat_int > fun_nat_int ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_nat_real > fun_nat_real ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_int_rat > fun_fu1008360527747082367nt_rat ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_nat_complex > fun_nat_complex ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_nat_rat > fun_nat_rat ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_nat_int > fun_nat_int ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_nat_real > fun_nat_real ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_nat_rat > fun_nat_rat ).

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

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

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

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

tff(func_def_170,type,
    aTP_Lamm_gn: fun_nat_nat > fun_nat_nat ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_nat_real > fun_nat_real ).

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

tff(func_def_173,type,
    aTP_Lamm_gq: fun_in1696471567231710611nt_int ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_na4138050610385705875at_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_Co2470855966376689427nteger ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_in1696471567231710611nt_int ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_na4138050610385705875at_nat ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_Co2470855966376689427nteger ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_Pr2477239776880934807at_nat > fun_na1668100129766719005at_nat ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_Pr248683899324676269t_bool > fun_na4786964484885125043t_bool ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_Pr2478283820680522243nt_int > fun_in1696471567231710611nt_int ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_Pr803113274115125473t_bool > fun_int_fun_int_bool ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_Pr982841511892225912nt_int > fun_int_fun_int_int ).

tff(func_def_184,type,
    aTP_Lamm_hb: num > fun_na4138050610385705875at_nat ).

tff(func_def_185,type,
    aTP_Lamm_hc: num > fun_in1696471567231710611nt_int ).

tff(func_def_186,type,
    aTP_Lamm_hd: complex > fun_co3258106519541737638omplex ).

tff(func_def_187,type,
    aTP_Lamm_he: rat > fun_rat_fun_nat_rat ).

tff(func_def_188,type,
    aTP_Lamm_hf: int > fun_int_fun_nat_int ).

tff(func_def_189,type,
    aTP_Lamm_hg: nat > fun_nat_fun_nat_nat ).

tff(func_def_190,type,
    aTP_Lamm_hh: real > fun_re4238438383274954274t_real ).

tff(func_def_191,type,
    aTP_Lamm_hi: num > fun_Co2470855966376689427nteger ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_re4238438383274954274t_real ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_int_fun_int_int ).

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

tff(func_def_195,type,
    aTP_Lamm_hm: fun_complex_complex > fun_complex_real ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_nat_real > fun_nat_real ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_re4238438383274954274t_real ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_na1142814060743658952omplex ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_fun_nat_rat ).

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_fun_nat_int ).

tff(func_def_201,type,
    aTP_Lamm_hs: fun_nat_fun_nat_real ).

tff(func_def_202,type,
    aTP_Lamm_ht: fun_nat_fun_nat_nat ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_na4138050610385705875at_nat ).

tff(func_def_204,type,
    aTP_Lamm_hv: fun_re4238438383274954274t_real ).

tff(func_def_205,type,
    aTP_Lamm_hw: complex > fun_co6883864892131739507omplex ).

tff(func_def_206,type,
    aTP_Lamm_hx: complex > fun_co6883864892131739507omplex ).

tff(func_def_207,type,
    aTP_Lamm_hy: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_208,type,
    aTP_Lamm_hz: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_209,type,
    aTP_Lamm_ia: real > fun_re4756235295228751087t_real ).

tff(func_def_210,type,
    aTP_Lamm_ib: real > fun_re4756235295228751087t_real ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_rat_fun_rat_bool ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_num_fun_num_bool ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_int_fun_int_bool ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_re1255401033344146673l_bool ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_nat_rat > fun_nat_rat ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_nat_int > fun_nat_int ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_nat_real > fun_nat_real ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_int > fun_int_fun_nat_int ).

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

tff(func_def_223,type,
    aTP_Lamm_io: complex > fun_co6883864892131739507omplex ).

tff(func_def_224,type,
    aTP_Lamm_ip: complex > fun_co6883864892131739507omplex ).

tff(func_def_225,type,
    aTP_Lamm_iq: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_226,type,
    aTP_Lamm_ir: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_227,type,
    aTP_Lamm_is: int > fun_in6793278964266839919at_int ).

tff(func_def_228,type,
    aTP_Lamm_it: int > fun_in6793278964266839919at_int ).

tff(func_def_229,type,
    aTP_Lamm_iu: real > fun_re4756235295228751087t_real ).

tff(func_def_230,type,
    aTP_Lamm_iv: real > fun_re4756235295228751087t_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: complex > fun_na6632006986671646835omplex ).

tff(func_def_232,type,
    aTP_Lamm_ix: rat > fun_na1148497095348402375at_rat ).

tff(func_def_233,type,
    aTP_Lamm_iy: int > fun_na2382631619178260847at_int ).

tff(func_def_234,type,
    aTP_Lamm_iz: real > fun_na5225841814499866095t_real ).

tff(func_def_235,type,
    aTP_Lamm_ja: complex > fun_na6632006986671646835omplex ).

tff(func_def_236,type,
    aTP_Lamm_jb: rat > fun_na1148497095348402375at_rat ).

tff(func_def_237,type,
    aTP_Lamm_jc: int > fun_na2382631619178260847at_int ).

tff(func_def_238,type,
    aTP_Lamm_jd: real > fun_na5225841814499866095t_real ).

tff(func_def_239,type,
    aTP_Lamm_je: complex > fun_na1142814060743658952omplex ).

tff(func_def_240,type,
    aTP_Lamm_jf: rat > fun_nat_fun_nat_rat ).

tff(func_def_241,type,
    aTP_Lamm_jg: int > fun_nat_fun_nat_int ).

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

tff(func_def_243,type,
    aTP_Lamm_ji: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_nat_real > fun_nat_real ).

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

tff(func_def_246,type,
    aTP_Lamm_jl: fun_nat_real ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_real ).

tff(func_def_248,type,
    aTP_Lamm_jn: complex > fun_fu40286998686754419omplex ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_250,type,
    aTP_Lamm_jp: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_251,type,
    aTP_Lamm_jq: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_252,type,
    aTP_Lamm_jr: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_nat_complex > fun_co8378349014452122532t_real ).

tff(func_def_256,type,
    aTP_Lamm_jv: fun_nat_int > fun_nat_int ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_262,type,
    aTP_Lamm_kb: real > fun_fu7631928937237476593t_real ).

tff(func_def_263,type,
    aTP_Lamm_kc: set_Pr9123050470547338789r_bool > fun_Co3748208068438171869l_bool ).

tff(func_def_264,type,
    aTP_Lamm_kd: set_Pr8218934625190621173um_num > fun_num_fun_num_bool ).

tff(func_def_265,type,
    aTP_Lamm_ke: set_Pr6200539531224447659at_num > fun_nat_fun_num_bool ).

tff(func_def_266,type,
    aTP_Lamm_kf: set_Pr1261947904930325089at_nat > fun_nat_fun_nat_bool ).

tff(func_def_267,type,
    aTP_Lamm_kg: set_Pr958786334691620121nt_int > fun_int_fun_int_bool ).

tff(func_def_268,type,
    aTP_Lamm_kh: fun_re4238438383274954274t_real ).

tff(func_def_269,type,
    aTP_Lamm_ki: complex > fun_nat_complex ).

tff(func_def_270,type,
    aTP_Lamm_kj: complex > fun_fu40286998686754419omplex ).

tff(func_def_271,type,
    aTP_Lamm_kk: real > fun_fu6899955116716589935t_real ).

tff(func_def_272,type,
    aTP_Lamm_kl: fun_nat_complex > fun_nat_complex ).

tff(func_def_273,type,
    aTP_Lamm_km: nat > fun_fu40286998686754419omplex ).

tff(func_def_274,type,
    aTP_Lamm_kn: nat > fun_fu6899955116716589935t_real ).

tff(func_def_275,type,
    aTP_Lamm_ko: nat > fun_co3258106519541737638omplex ).

tff(func_def_276,type,
    aTP_Lamm_kp: nat > fun_re4238438383274954274t_real ).

tff(func_def_277,type,
    aTP_Lamm_kq: nat > fun_int_fun_nat_int ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_nat_real > fun_se2100927751953696370t_real ).

tff(func_def_280,type,
    aTP_Lamm_kt: fun_nat_real ).

tff(func_def_281,type,
    aTP_Lamm_ku: fun_nat_real > fun_nat_real ).

tff(func_def_282,type,
    aTP_Lamm_kv: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_re4238438383274954274t_real ).

tff(func_def_284,type,
    aTP_Lamm_kx: real > fun_fu3477889739401271834t_real ).

tff(func_def_285,type,
    aTP_Lamm_ky: real > fun_fu5589980185390252312t_real ).

tff(func_def_286,type,
    aTP_Lamm_kz: real > fun_fu4806068833880117316t_real ).

tff(func_def_287,type,
    aTP_Lamm_la: real > fun_fu2115079063411676732t_real ).

tff(func_def_288,type,
    aTP_Lamm_lb: real > fun_fu4540635375566031512t_real ).

tff(func_def_289,type,
    aTP_Lamm_lc: real > fun_fu6899955116716589935t_real ).

tff(func_def_290,type,
    aTP_Lamm_ld: fun_re4238438383274954274t_real ).

tff(func_def_291,type,
    aTP_Lamm_le: fun_re4238438383274954274t_real ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_re4238438383274954274t_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_294,type,
    aTP_Lamm_lh: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_300,type,
    aTP_Lamm_ln: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_302,type,
    aTP_Lamm_lp: real > fun_fu6899955116716589935t_real ).

tff(func_def_303,type,
    aTP_Lamm_lq: complex > fun_fu40286998686754419omplex ).

tff(func_def_304,type,
    aTP_Lamm_lr: fun_re4238438383274954274t_real ).

tff(func_def_305,type,
    aTP_Lamm_ls: fun_se707272970763642173t_bool ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_se6049520964208396421t_bool ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_se2925769915755310977x_bool ).

tff(func_def_308,type,
    aTP_Lamm_lv: nat > fun_nat_complex ).

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

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

tff(func_def_311,type,
    aTP_Lamm_ly: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_fun_nat_real ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_rat_fun_rat_bool ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_num_fun_num_bool ).

tff(func_def_318,type,
    aTP_Lamm_mf: fun_int_fun_int_bool ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_nat_fun_nat_nat ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_321,type,
    aTP_Lamm_mi: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_322,type,
    aTP_Lamm_mj: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_323,type,
    aTP_Lamm_mk: fun_nat_fun_nat_real > fun_nat_real ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_325,type,
    aTP_Lamm_mm: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_326,type,
    aTP_Lamm_mn: fun_nat_fun_nat_nat ).

tff(func_def_327,type,
    aTP_Lamm_mo: fun_nat_fun_nat_nat ).

tff(func_def_328,type,
    aTP_Lamm_mp: nat > fun_nat_fun_nat_bool ).

tff(func_def_329,type,
    aTP_Lamm_mq: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_330,type,
    aTP_Lamm_mr: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: fun_nat_fun_nat_real > fun_nat_real ).

tff(func_def_333,type,
    aTP_Lamm_mu: nat > fun_nat_fun_nat_nat ).

tff(func_def_334,type,
    aTP_Lamm_mv: nat > fun_na3244735409550470327at_nat ).

tff(func_def_335,type,
    aTP_Lamm_mw: fun_nat_complex > fun_na5941084329111710283x_bool ).

tff(func_def_336,type,
    aTP_Lamm_mx: fun_nat_real > fun_na6801867027684862029l_bool ).

tff(func_def_337,type,
    aTP_Lamm_my: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_339,type,
    aTP_Lamm_na: nat > fun_nat_fun_nat_bool ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_nat_complex > fun_fu4528473944208963392omplex ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_342,type,
    aTP_Lamm_nd: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_343,type,
    aTP_Lamm_ne: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_344,type,
    aTP_Lamm_nf: nat > fun_na3244735409550470327at_nat ).

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_complex > fun_fu6652553491520710942omplex ).

tff(func_def_346,type,
    aTP_Lamm_nh: fun_nat_rat > fun_fu6228432884689642900at_rat ).

tff(func_def_347,type,
    aTP_Lamm_ni: fun_nat_rat > fun_fu4710970720072501148at_rat ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_nat_int > fun_fu1567874110255095356at_int ).

tff(func_def_349,type,
    aTP_Lamm_nk: fun_nat_int > fun_fu5519318738670804632at_int ).

tff(func_def_350,type,
    aTP_Lamm_nl: fun_nat_real > fun_fu8064956510386623256t_real ).

tff(func_def_351,type,
    aTP_Lamm_nm: complex > fun_co6883864892131739507omplex ).

tff(func_def_352,type,
    aTP_Lamm_nn: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_353,type,
    aTP_Lamm_no: int > fun_in6793278964266839919at_int ).

tff(func_def_354,type,
    aTP_Lamm_np: real > fun_re4756235295228751087t_real ).

tff(func_def_355,type,
    aTP_Lamm_nq: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_358,type,
    aTP_Lamm_nt: fun_nat_fun_nat_nat ).

tff(func_def_359,type,
    aTP_Lamm_nu: nat > fun_fu3593947265352647275omplex ).

tff(func_def_360,type,
    aTP_Lamm_nv: nat > fun_fu3593947265352647275omplex ).

tff(func_def_361,type,
    aTP_Lamm_nw: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_362,type,
    aTP_Lamm_nx: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_363,type,
    aTP_Lamm_ny: nat > fun_fu960360787657196261at_int ).

tff(func_def_364,type,
    aTP_Lamm_nz: nat > fun_fu960360787657196261at_int ).

tff(func_def_365,type,
    aTP_Lamm_oa: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_366,type,
    aTP_Lamm_ob: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_367,type,
    aTP_Lamm_oc: nat > fun_fu1620311477532340197t_real ).

tff(func_def_368,type,
    aTP_Lamm_od: nat > fun_fu1620311477532340197t_real ).

tff(func_def_369,type,
    aTP_Lamm_oe: nat > fun_in1521351555827773387at_int ).

tff(func_def_370,type,
    aTP_Lamm_of: nat > fun_co6147893885205795665omplex ).

tff(func_def_371,type,
    aTP_Lamm_og: nat > fun_Co8502721031311864414nteger ).

tff(func_def_372,type,
    aTP_Lamm_oh: nat > fun_ra3995598502166916815at_rat ).

tff(func_def_373,type,
    aTP_Lamm_oi: nat > fun_re8542384036533109323t_real ).

tff(func_def_374,type,
    aTP_Lamm_oj: nat > fun_nat_complex ).

tff(func_def_375,type,
    aTP_Lamm_ok: nat > fun_nat_Code_integer ).

tff(func_def_376,type,
    aTP_Lamm_ol: nat > fun_nat_rat ).

tff(func_def_377,type,
    aTP_Lamm_om: nat > fun_nat_int ).

tff(func_def_378,type,
    aTP_Lamm_on: fun_nat_fun_nat_real ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_nat_complex > fun_co3194742168270691230omplex ).

tff(func_def_380,type,
    aTP_Lamm_op: nat > fun_fu1584491925252458057omplex ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_nat_rat > fun_ra2740371568465858076at_rat ).

tff(func_def_382,type,
    aTP_Lamm_or: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_383,type,
    aTP_Lamm_os: fun_nat_int > fun_in281396392327853336at_int ).

tff(func_def_384,type,
    aTP_Lamm_ot: nat > fun_fu4902120768161409089at_int ).

tff(func_def_385,type,
    aTP_Lamm_ou: fun_nat_real > fun_re7819166435457029784t_real ).

tff(func_def_386,type,
    aTP_Lamm_ov: nat > fun_fu6810213084838398785t_real ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_nat_fun_nat_nat ).

tff(func_def_388,type,
    aTP_Lamm_ox: nat > fun_nat_complex ).

tff(func_def_389,type,
    aTP_Lamm_oy: nat > fun_nat_Code_integer ).

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

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

tff(func_def_392,type,
    aTP_Lamm_pb: fun_nat_fun_nat_real ).

tff(func_def_393,type,
    aTP_Lamm_pc: fun_nat_complex > fun_co6883864892131739507omplex ).

tff(func_def_394,type,
    aTP_Lamm_pd: nat > fun_fu1584491925252458057omplex ).

tff(func_def_395,type,
    aTP_Lamm_pe: fun_nat_rat > fun_ra5513060666784058567at_rat ).

tff(func_def_396,type,
    aTP_Lamm_pf: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_397,type,
    aTP_Lamm_pg: fun_nat_int > fun_in6793278964266839919at_int ).

tff(func_def_398,type,
    aTP_Lamm_ph: nat > fun_fu4902120768161409089at_int ).

tff(func_def_399,type,
    aTP_Lamm_pi: fun_nat_real > fun_re4756235295228751087t_real ).

tff(func_def_400,type,
    aTP_Lamm_pj: nat > fun_fu6810213084838398785t_real ).

tff(func_def_401,type,
    aTP_Lamm_pk: real > fun_re4756235295228751087t_real ).

tff(func_def_402,type,
    aTP_Lamm_pl: real > fun_re4238438383274954274t_real ).

tff(func_def_403,type,
    aTP_Lamm_pm: complex > fun_co6883864892131739507omplex ).

tff(func_def_404,type,
    aTP_Lamm_pn: complex > fun_co3258106519541737638omplex ).

tff(func_def_405,type,
    aTP_Lamm_po: real > fun_re4756235295228751087t_real ).

tff(func_def_406,type,
    aTP_Lamm_pp: real > fun_re4238438383274954274t_real ).

tff(func_def_407,type,
    aTP_Lamm_pq: complex > fun_co6883864892131739507omplex ).

tff(func_def_408,type,
    aTP_Lamm_pr: complex > fun_co3258106519541737638omplex ).

tff(func_def_409,type,
    aTP_Lamm_ps: real > fun_re4756235295228751087t_real ).

tff(func_def_410,type,
    aTP_Lamm_pt: real > fun_re4238438383274954274t_real ).

tff(func_def_411,type,
    aTP_Lamm_pu: complex > fun_co6883864892131739507omplex ).

tff(func_def_412,type,
    aTP_Lamm_pv: complex > fun_co3258106519541737638omplex ).

tff(func_def_413,type,
    aTP_Lamm_pw: complex > fun_nat_complex ).

tff(func_def_414,type,
    aTP_Lamm_px: rat > fun_nat_rat ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_re4238438383274954274t_real ).

tff(func_def_416,type,
    aTP_Lamm_pz: fun_re4238438383274954274t_real ).

tff(func_def_417,type,
    aTP_Lamm_qa: complex > fun_nat_complex ).

tff(func_def_418,type,
    aTP_Lamm_qb: fun_re4238438383274954274t_real ).

tff(func_def_419,type,
    aTP_Lamm_qc: complex > fun_nat_complex ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_re4238438383274954274t_real ).

tff(func_def_421,type,
    aTP_Lamm_qe: complex > fun_nat_real ).

tff(func_def_422,type,
    aTP_Lamm_qf: fun_re4238438383274954274t_real ).

tff(func_def_423,type,
    aTP_Lamm_qg: complex > fun_nat_real ).

tff(func_def_424,type,
    aTP_Lamm_qh: complex > fun_nat_complex ).

tff(func_def_425,type,
    aTP_Lamm_qi: rat > fun_nat_rat ).

tff(func_def_426,type,
    aTP_Lamm_qj: fun_re4238438383274954274t_real ).

tff(func_def_427,type,
    aTP_Lamm_qk: fun_re4238438383274954274t_real ).

tff(func_def_428,type,
    aTP_Lamm_ql: complex > fun_nat_complex ).

tff(func_def_429,type,
    aTP_Lamm_qm: fun_re4238438383274954274t_real ).

tff(func_def_430,type,
    aTP_Lamm_qn: complex > fun_nat_complex ).

tff(func_def_431,type,
    aTP_Lamm_qo: complex > fun_nat_complex ).

tff(func_def_432,type,
    aTP_Lamm_qp: rat > fun_nat_rat ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_re4238438383274954274t_real ).

tff(func_def_434,type,
    aTP_Lamm_qr: nat > fun_co3732688428756473980omplex ).

tff(func_def_435,type,
    aTP_Lamm_qs: nat > fun_co3732688428756473980omplex ).

tff(func_def_436,type,
    aTP_Lamm_qt: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_437,type,
    aTP_Lamm_qu: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_438,type,
    aTP_Lamm_qv: nat > fun_re6135230694098607860t_real ).

tff(func_def_439,type,
    aTP_Lamm_qw: nat > fun_re6135230694098607860t_real ).

tff(func_def_440,type,
    aTP_Lamm_qx: nat > fun_nat_complex ).

tff(func_def_441,type,
    aTP_Lamm_qy: nat > fun_nat_rat ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_nat_fun_nat_real ).

tff(func_def_443,type,
    aTP_Lamm_ra: nat > fun_nat_complex ).

tff(func_def_444,type,
    aTP_Lamm_rb: nat > fun_nat_rat ).

tff(func_def_445,type,
    aTP_Lamm_rc: fun_nat_fun_nat_real ).

tff(func_def_446,type,
    aTP_Lamm_rd: nat > fun_co3732688428756473980omplex ).

tff(func_def_447,type,
    aTP_Lamm_re: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_448,type,
    aTP_Lamm_rf: nat > fun_re6135230694098607860t_real ).

tff(func_def_449,type,
    aTP_Lamm_rg: complex > fun_na1591161823130732966omplex ).

tff(func_def_450,type,
    aTP_Lamm_rh: rat > fun_nat_fun_rat_rat ).

tff(func_def_451,type,
    aTP_Lamm_ri: real > fun_na6724076748692969250l_real ).

tff(func_def_452,type,
    aTP_Lamm_rj: fun_re4238438383274954274t_real ).

tff(func_def_453,type,
    aTP_Lamm_rk: complex > fun_nat_complex ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_complex_complex ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_rat_rat ).

tff(func_def_456,type,
    aTP_Lamm_rn: fun_int_int ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_real_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_nat_nat ).

tff(func_def_459,type,
    aTP_Lamm_rq: complex > fun_nat_complex ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_re4238438383274954274t_real ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_re4238438383274954274t_real ).

tff(func_def_462,type,
    aTP_Lamm_rt: complex > fun_nat_complex ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_re4238438383274954274t_real ).

tff(func_def_464,type,
    aTP_Lamm_rv: complex > fun_nat_real ).

tff(func_def_465,type,
    aTP_Lamm_rw: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_466,type,
    aTP_Lamm_rx: int > fun_in6793278964266839919at_int ).

tff(func_def_467,type,
    aTP_Lamm_ry: real > fun_re4756235295228751087t_real ).

tff(func_def_468,type,
    aTP_Lamm_rz: real > fun_re4756235295228751087t_real ).

tff(func_def_469,type,
    aTP_Lamm_sa: complex > fun_co6883864892131739507omplex ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_re4238438383274954274t_real ).

tff(func_def_471,type,
    aTP_Lamm_sc: complex > fun_nat_complex ).

tff(func_def_472,type,
    aTP_Lamm_sd: complex > fun_na1591161823130732966omplex ).

tff(func_def_473,type,
    aTP_Lamm_se: rat > fun_nat_fun_rat_rat ).

tff(func_def_474,type,
    aTP_Lamm_sf: int > fun_nat_fun_int_int ).

tff(func_def_475,type,
    aTP_Lamm_sg: real > fun_na6724076748692969250l_real ).

tff(func_def_476,type,
    aTP_Lamm_sh: nat > fun_nat_fun_nat_nat ).

tff(func_def_477,type,
    aTP_Lamm_si: real > fun_nat_fun_nat_real ).

tff(func_def_478,type,
    aTP_Lamm_sj: complex > fun_na1142814060743658952omplex ).

tff(func_def_479,type,
    aTP_Lamm_sk: complex > fun_nat_complex ).

tff(func_def_480,type,
    aTP_Lamm_sl: rat > fun_nat_rat ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_re4238438383274954274t_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_re4238438383274954274t_real ).

tff(func_def_483,type,
    aTP_Lamm_so: complex > fun_nat_complex ).

tff(func_def_484,type,
    aTP_Lamm_sp: fun_re4238438383274954274t_real ).

tff(func_def_485,type,
    aTP_Lamm_sq: complex > fun_nat_complex ).

tff(func_def_486,type,
    aTP_Lamm_sr: fun_nat_nat ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_nat_int ).

tff(func_def_488,type,
    aTP_Lamm_st: fun_int_int ).

tff(func_def_489,type,
    aTP_Lamm_su: nat > fun_nat_complex ).

tff(func_def_490,type,
    aTP_Lamm_sv: int > fun_int_fun_int_bool ).

tff(func_def_491,type,
    aTP_Lamm_sw: int > fun_int_fun_int_bool ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_re1255401033344146673l_bool ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_real_bool ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_re1255401033344146673l_bool ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_real_bool ).

tff(func_def_496,type,
    aTP_Lamm_tb: fun_re1255401033344146673l_bool ).

tff(func_def_497,type,
    aTP_Lamm_tc: complex > fun_na5941084329111710283x_bool ).

tff(func_def_498,type,
    aTP_Lamm_td: complex > fun_real_bool ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_Co1092983284983208416er_int ).

tff(func_def_501,type,
    aTP_Lamm_tg: fun_Co8521658056209057742er_num ).

tff(func_def_502,type,
    aTP_Lamm_th: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_503,type,
    aTP_Lamm_ti: fun_Co3583066429914935172er_nat ).

tff(func_def_504,type,
    aTP_Lamm_tj: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_505,type,
    aTP_Lamm_tk: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_506,type,
    aTP_Lamm_tl: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_507,type,
    aTP_Lamm_tm: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_508,type,
    aTP_Lamm_tn: fun_nat_bool ).

tff(func_def_509,type,
    aTP_Lamm_to: fun_nat_bool ).

tff(func_def_510,type,
    aTP_Lamm_tp: fun_nat_fun_nat_nat ).

tff(func_def_511,type,
    aTP_Lamm_tq: fun_nat_fun_nat_nat ).

tff(func_def_512,type,
    aTP_Lamm_tr: real > fun_int_bool ).

tff(func_def_513,type,
    aTP_Lamm_ts: rat > fun_int_bool ).

tff(func_def_514,type,
    aTP_Lamm_tt: fun_in1696471567231710611nt_int ).

tff(func_def_515,type,
    aTP_Lamm_tu: int > fun_in2204242111582549184nt_int ).

tff(func_def_516,type,
    aTP_Lamm_tv: rat > fun_in1696471567231710611nt_int ).

tff(func_def_517,type,
    aTP_Lamm_tw: int > fun_in2204242111582549184nt_int ).

tff(func_def_518,type,
    aTP_Lamm_tx: rat > fun_in1696471567231710611nt_int ).

tff(func_def_519,type,
    aTP_Lamm_ty: int > fun_in2204242111582549184nt_int ).

tff(func_def_520,type,
    aTP_Lamm_tz: rat > fun_in1696471567231710611nt_int ).

tff(func_def_521,type,
    aTP_Lamm_ua: int > fun_in2204242111582549184nt_int ).

tff(func_def_522,type,
    aTP_Lamm_ub: rat > fun_in1696471567231710611nt_int ).

tff(func_def_523,type,
    aTP_Lamm_uc: int > fun_in6148020733644367646t_bool ).

tff(func_def_524,type,
    aTP_Lamm_ud: rat > fun_int_fun_int_bool ).

tff(func_def_525,type,
    aTP_Lamm_ue: int > fun_in6148020733644367646t_bool ).

tff(func_def_526,type,
    aTP_Lamm_uf: rat > fun_int_fun_int_bool ).

tff(func_def_527,type,
    aTP_Lamm_ug: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_528,type,
    aTP_Lamm_uh: nat > fun_na4143055713577223196at_nat ).

tff(func_def_529,type,
    aTP_Lamm_ui: fun_na1668100129766719005at_nat ).

tff(func_def_530,type,
    aTP_Lamm_uj: fun_na4138050610385705875at_nat ).

tff(func_def_531,type,
    aTP_Lamm_uk: nat > fun_na3408937105440547634t_bool ).

tff(func_def_532,type,
    aTP_Lamm_ul: fun_na4786964484885125043t_bool ).

tff(func_def_533,type,
    aTP_Lamm_um: nat > fun_na3408937105440547634t_bool ).

tff(func_def_534,type,
    aTP_Lamm_un: fun_na4786964484885125043t_bool ).

tff(func_def_535,type,
    aTP_Lamm_uo: nat > fun_na4143055713577223196at_nat ).

tff(func_def_536,type,
    aTP_Lamm_up: fun_na1668100129766719005at_nat ).

tff(func_def_537,type,
    aTP_Lamm_uq: nat > fun_na4143055713577223196at_nat ).

tff(func_def_538,type,
    aTP_Lamm_ur: fun_na1668100129766719005at_nat ).

tff(func_def_539,type,
    aTP_Lamm_us: fun_nat_fun_nat_bool ).

tff(func_def_540,type,
    aTP_Lamm_ut: fun_nat_fun_nat_nat ).

tff(func_def_541,type,
    aTP_Lamm_uu: fun_int_fun_int_int ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_nat_real > fun_nat_real ).

tff(func_def_543,type,
    aTP_Lamm_uw: fun_nat_fun_nat_nat ).

tff(func_def_544,type,
    aTP_Lamm_ux: fun_na6724076748692969250l_real ).

tff(func_def_545,type,
    aTP_Lamm_uy: fun_na6724076748692969250l_real ).

tff(func_def_546,type,
    aTP_Lamm_uz: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_547,type,
    aTP_Lamm_va: fun_re7681423839302404990l_real ).

tff(func_def_548,type,
    aTP_Lamm_vb: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_549,type,
    aTP_Lamm_vc: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_551,type,
    aTP_Lamm_ve: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_552,type,
    aTP_Lamm_vf: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_553,type,
    aTP_Lamm_vg: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_554,type,
    aTP_Lamm_vh: fun_nat_real > fun_real_real ).

tff(func_def_555,type,
    aTP_Lamm_vi: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_556,type,
    aTP_Lamm_vj: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_557,type,
    aTP_Lamm_vk: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_558,type,
    aTP_Lamm_vl: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_559,type,
    aTP_Lamm_vm: nat > fun_fu3612569900928539882l_real ).

tff(func_def_560,type,
    aTP_Lamm_vn: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_561,type,
    aTP_Lamm_vo: fun_real_real ).

tff(func_def_562,type,
    aTP_Lamm_vp: fun_re4238438383274954274t_real ).

tff(func_def_563,type,
    aTP_Lamm_vq: num > fun_num_int ).

tff(func_def_564,type,
    aTP_Lamm_vr: fun_num_option_num ).

tff(func_def_565,type,
    aTP_Lamm_vs: num > fun_nat_option_num ).

tff(func_def_566,type,
    aTP_Lamm_vt: fun_nat_option_num ).

tff(func_def_567,type,
    aTP_Lamm_vu: num > fun_nat_option_num ).

tff(func_def_568,type,
    aTP_Lamm_vv: fun_num_option_num ).

tff(func_def_569,type,
    aTP_Lamm_vw: nat > fun_num_option_num ).

tff(func_def_570,type,
    aTP_Lamm_vx: nat > fun_num_option_num ).

tff(func_def_571,type,
    aTP_Lamm_vy: num > fun_nat_option_num ).

tff(func_def_572,type,
    aTP_Lamm_vz: fun_na7595719129879163854on_num ).

tff(func_def_573,type,
    aTP_Lamm_wa: fun_real_real ).

tff(func_def_574,type,
    aTP_Lamm_wb: fun_nat_real > fun_nat_real ).

tff(func_def_575,type,
    aTP_Lamm_wc: fun_nat_real ).

tff(func_def_576,type,
    aTP_Lamm_wd: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_577,type,
    aTP_Lamm_we: fun_nat_real > fun_nat_real ).

tff(func_def_578,type,
    aTP_Lamm_wf: fun_nat_real ).

tff(func_def_579,type,
    aTP_Lamm_wg: fun_re4238438383274954274t_real ).

tff(func_def_580,type,
    aTP_Lamm_wh: fun_nat_real ).

tff(func_def_581,type,
    aTP_Lamm_wi: fun_re4238438383274954274t_real ).

tff(func_def_582,type,
    aTP_Lamm_wj: real > fun_re4238438383274954274t_real ).

tff(func_def_583,type,
    aTP_Lamm_wk: fun_re4238438383274954274t_real ).

tff(func_def_584,type,
    aTP_Lamm_wl: fun_re4238438383274954274t_real ).

tff(func_def_585,type,
    aTP_Lamm_wm: fun_re4238438383274954274t_real ).

tff(func_def_586,type,
    aTP_Lamm_wn: fun_re4238438383274954274t_real ).

tff(func_def_587,type,
    aTP_Lamm_wo: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_588,type,
    aTP_Lamm_wp: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_589,type,
    aTP_Lamm_wq: fun_nat_real > fun_nat_real ).

tff(func_def_590,type,
    aTP_Lamm_wr: fun_nat_real > fun_nat_real ).

tff(func_def_591,type,
    aTP_Lamm_ws: fun_nat_real > fun_nat_real ).

tff(func_def_592,type,
    aTP_Lamm_wt: fun_re7681423839302404990l_real ).

tff(func_def_593,type,
    aTP_Lamm_wu: nat > fun_fu3077872570260440615l_real ).

tff(func_def_594,type,
    aTP_Lamm_wv: fun_na6724076748692969250l_real ).

tff(func_def_595,type,
    aTP_Lamm_ww: fun_re7681423839302404990l_real ).

tff(func_def_596,type,
    aTP_Lamm_wx: fun_nat_bool > fun_nat_bool ).

tff(func_def_597,type,
    aTP_Lamm_wy: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_598,type,
    aTP_Lamm_wz: real > fun_re1255401033344146673l_bool ).

tff(func_def_599,type,
    aTP_Lamm_xa: fun_real_bool > fun_re1255401033344146673l_bool ).

tff(func_def_600,type,
    aTP_Lamm_xb: nat > fun_li8232715659020003717t_bool ).

tff(func_def_601,type,
    aTP_Lamm_xc: set_int > fun_int_bool ).

tff(func_def_602,type,
    aTP_Lamm_xd: fun_real_real > fun_real_real ).

tff(func_def_603,type,
    aTP_Lamm_xe: fun_real_real > fun_real_real ).

tff(func_def_604,type,
    aTP_Lamm_xf: fun_nat_fun_nat_nat ).

tff(func_def_605,type,
    aTP_Lamm_xg: fun_nat_fun_nat_nat ).

tff(func_def_606,type,
    aTP_Lamm_xh: fun_nat_nat ).

tff(func_def_607,type,
    aTP_Lamm_xi: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_608,type,
    aTP_Lamm_xj: nat > fun_na5614638261385347865t_bool ).

tff(func_def_609,type,
    aTP_Lamm_xk: nat > fun_na5614638261385347865t_bool ).

tff(func_def_610,type,
    aTP_Lamm_xl: nat > fun_na5614638261385347865t_bool ).

tff(func_def_611,type,
    aTP_Lamm_xm: real > fun_re1255401033344146673l_bool ).

tff(func_def_612,type,
    aTP_Lamm_xn: fun_re5512370375968561900l_real ).

tff(func_def_613,type,
    aTP_Lamm_xo: real > fun_co1378794544173401837x_bool ).

tff(func_def_614,type,
    aTP_Lamm_xp: fun_re3844104906058862192omplex ).

tff(func_def_615,type,
    aTP_Lamm_xq: nat > fun_nat_set_nat ).

tff(func_def_616,type,
    aTP_Lamm_xr: fun_re7681423839302404990l_real ).

tff(func_def_617,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_618,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_619,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_620,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_621,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_622,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_623,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_624,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_625,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_626,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_627,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_628,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_629,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_630,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_631,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_632,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_633,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_634,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_635,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_636,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_637,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_638,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_639,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_640,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_641,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_642,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_643,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_644,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_645,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_646,type,
    bit_se1080825931792720795nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_647,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_648,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_649,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_650,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_651,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_652,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_653,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_654,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_655,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_656,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_657,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_658,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_659,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_660,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_661,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_662,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_663,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_664,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_665,type,
    bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_666,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_667,type,
    bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_668,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_669,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_670,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_671,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_672,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_673,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_674,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_675,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_676,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_677,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_678,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_679,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_680,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_681,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_682,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_683,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_684,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_685,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_686,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_687,type,
    code_Target_negative: fun_num_int ).

tff(func_def_688,type,
    code_Target_positive: fun_num_int ).

tff(func_def_689,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_690,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_691,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_692,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_693,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_694,type,
    arg: fun_complex_real ).

tff(func_def_695,type,
    cis: fun_real_complex ).

tff(func_def_696,type,
    cnj: fun_complex_complex ).

tff(func_def_697,type,
    complex2: real > fun_real_complex ).

tff(func_def_698,type,
    im: fun_complex_real ).

tff(func_def_699,type,
    re: fun_complex_real ).

tff(func_def_700,type,
    csqrt: fun_complex_complex ).

tff(func_def_701,type,
    imaginary_unit: complex ).

tff(func_def_702,type,
    adjust_div: fun_Pr982841511892225912nt_int ).

tff(func_def_703,type,
    adjust_mod: fun_int_fun_int_int ).

tff(func_def_704,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_705,type,
    eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_706,type,
    unique6319869463603278526ux_int: fun_Pr803113274115125473t_bool ).

tff(func_def_707,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_708,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_709,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_710,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_711,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_712,type,
    unique5024387138958732305ep_int: num > fun_Pr2478283820680522243nt_int ).

tff(func_def_713,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_714,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_715,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_716,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_717,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_718,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_719,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_720,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_721,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_722,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_723,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_724,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_725,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_726,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_727,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_728,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_729,type,
    at_bot_real: filter_real ).

tff(func_def_730,type,
    at_top_nat: filter_nat ).

tff(func_def_731,type,
    at_top_real: filter_real ).

tff(func_def_732,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_733,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_734,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_735,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_736,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_737,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_738,type,
    finite_card_int: set_int > nat ).

tff(func_def_739,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_740,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_741,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_742,type,
    finite_card_char: set_char > nat ).

tff(func_def_743,type,
    finite3207457112153483333omplex: fun_set_complex_bool ).

tff(func_def_744,type,
    finite_finite_int: fun_set_int_bool ).

tff(func_def_745,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_746,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_bool ).

tff(func_def_747,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_bool ).

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

tff(func_def_749,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_750,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_751,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_752,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_753,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_754,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_755,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_756,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_757,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_758,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_759,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_760,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_761,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_762,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_763,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_764,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_765,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_766,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_767,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_768,type,
    abs_abs_int: fun_int_int ).

tff(func_def_769,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_770,type,
    abs_abs_real: fun_real_real ).

tff(func_def_771,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_772,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_773,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_774,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_775,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_776,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_777,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_778,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_779,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_780,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_781,type,
    minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_782,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_783,type,
    one_one_Code_integer: code_integer ).

tff(func_def_784,type,
    one_one_complex: complex ).

tff(func_def_785,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_786,type,
    one_one_int: int ).

tff(func_def_787,type,
    one_one_nat: nat ).

tff(func_def_788,type,
    one_one_rat: rat ).

tff(func_def_789,type,
    one_one_real: real ).

tff(func_def_790,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_791,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_792,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_793,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_794,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_795,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_796,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_797,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_798,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_799,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_800,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_801,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_802,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_803,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_804,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_805,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_806,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_807,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_808,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_809,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_810,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_811,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_812,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_813,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_814,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_815,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_816,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_817,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_818,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_819,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_820,type,
    zero_zero_complex: complex ).

tff(func_def_821,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_822,type,
    zero_zero_int: int ).

tff(func_def_823,type,
    zero_zero_nat: nat ).

tff(func_def_824,type,
    zero_zero_rat: rat ).

tff(func_def_825,type,
    zero_zero_real: real ).

tff(func_def_826,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_827,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_828,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_829,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_830,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_831,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_832,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_833,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_834,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_835,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_836,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_837,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_838,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_839,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_840,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_841,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_842,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_843,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_844,type,
    groups6381953495645901045omplex: ( fun_Pr4050773816208733250omplex * set_Pr1261947904930325089at_nat ) > complex ).

tff(func_def_845,type,
    groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_846,type,
    groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_847,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_848,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_849,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_850,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_851,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_852,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_853,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_854,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_855,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_856,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_857,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_858,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_859,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_860,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_861,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_862,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_863,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_864,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_865,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_866,type,
    the_int: fun_int_bool > int ).

tff(func_def_867,type,
    the_real: fun_real_bool > real ).

tff(func_def_868,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_869,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_870,type,
    if_int: bool > fun_int_fun_int_int ).

tff(func_def_871,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_872,type,
    if_num: bool > fun_num_fun_num_num ).

tff(func_def_873,type,
    if_option_nat: ( bool * option_nat * option_nat ) > option_nat ).

tff(func_def_874,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_875,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_876,type,
    if_Pro6206227464963214023at_nat: bool > fun_Pr2477239776880934807at_nat ).

tff(func_def_877,type,
    if_rat: ( bool * rat ) > fun_rat_rat ).

tff(func_def_878,type,
    if_real: bool > fun_re7681423839302404990l_real ).

tff(func_def_879,type,
    if_VEBT_VEBT: ( bool * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_880,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_881,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_882,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_883,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_884,type,
    nat2: fun_int_nat ).

tff(func_def_885,type,
    power_int_real: real > fun_int_real ).

tff(func_def_886,type,
    ring_1_Ints_real: set_real ).

tff(func_def_887,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_888,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_889,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_890,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_891,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_892,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_893,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_894,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_895,type,
    at_infinity_real: filter_real ).

tff(func_def_896,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_897,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_898,type,
    distinct_int: fun_list_int_bool ).

tff(func_def_899,type,
    distinct_nat: fun_list_nat_bool ).

tff(func_def_900,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_901,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_902,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_903,type,
    nil_int: list_int ).

tff(func_def_904,type,
    nil_nat: list_nat ).

tff(func_def_905,type,
    hd_nat: list_nat > nat ).

tff(func_def_906,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_907,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_908,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_909,type,
    set_int2: list_int > set_int ).

tff(func_def_910,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_911,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_912,type,
    set_real2: list_real > set_real ).

tff(func_def_913,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_914,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_915,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_916,type,
    list_update_complex: ( list_complex * nat * complex ) > list_complex ).

tff(func_def_917,type,
    list_update_bool: ( list_bool * nat * bool ) > list_bool ).

tff(func_def_918,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_919,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_920,type,
    list_u6180841689913720943at_nat: ( list_P6011104703257516679at_nat * nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_921,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_922,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_923,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_924,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_925,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_926,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_927,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_928,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_929,type,
    nth_Pr136253548056570280r_bool: ( list_P8603913368774139775r_bool * nat ) > produc7417142470700560111r_bool ).

tff(func_def_930,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_931,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_932,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_933,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_934,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_935,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_936,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_937,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_938,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_939,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_940,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_941,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_942,type,
    produc2469108709554126195r_bool: ( list_Code_integer * list_bool ) > list_P8603913368774139775r_bool ).

tff(func_def_943,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_944,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_945,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_946,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_947,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_948,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_949,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_950,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_951,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_952,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_953,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_954,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_955,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_956,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_957,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_958,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_959,type,
    replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_960,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_961,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_962,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_963,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_964,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_965,type,
    upto: ( int * int ) > list_int ).

tff(func_def_966,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_967,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_968,type,
    suc: fun_nat_nat ).

tff(func_def_969,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_970,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_971,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_972,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_973,type,
    pred: fun_nat_nat ).

tff(func_def_974,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_975,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_976,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_977,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_978,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_979,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_980,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_981,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_982,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_983,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_984,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_985,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_986,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_987,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_988,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_989,type,
    size_size_list_int: list_int > nat ).

tff(func_def_990,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_991,type,
    size_size_list_num: list_num > nat ).

tff(func_def_992,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_993,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_994,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_995,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_996,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_997,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_998,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_999,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_1000,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_1001,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_1002,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_1003,type,
    size_size_list_real: list_real > nat ).

tff(func_def_1004,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_1005,type,
    size_size_num: fun_num_nat ).

tff(func_def_1006,type,
    size_size_option_nat: option_nat > nat ).

tff(func_def_1007,type,
    size_size_option_num: option_num > nat ).

tff(func_def_1008,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_1009,type,
    size_size_char: char > nat ).

tff(func_def_1010,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1011,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1012,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_1013,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_1014,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_1015,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_1016,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_1017,type,
    sqrt: fun_real_real ).

tff(func_def_1018,type,
    bitM: fun_num_num ).

tff(func_def_1019,type,
    inc: fun_num_num ).

tff(func_def_1020,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_1021,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_1022,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_1023,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_1024,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_1025,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_1026,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_1027,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_1028,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_1029,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_1030,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_1031,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_1032,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_1033,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_1034,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_1035,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_1036,type,
    bit0: fun_num_num ).

tff(func_def_1037,type,
    bit1: fun_num_num ).

tff(func_def_1038,type,
    one: num ).

tff(func_def_1039,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_1040,type,
    size_num: fun_num_nat ).

tff(func_def_1041,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1042,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_1043,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1044,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1045,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1046,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1047,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_1048,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_1049,type,
    pow: fun_num_fun_num_num ).

tff(func_def_1050,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1051,type,
    sqr: fun_num_num ).

tff(func_def_1052,type,
    none_nat: option_nat ).

tff(func_def_1053,type,
    none_num: option_num ).

tff(func_def_1054,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1055,type,
    some_nat: nat > option_nat ).

tff(func_def_1056,type,
    some_num: num > option_num ).

tff(func_def_1057,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1058,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool ) > fun_op2627489687811228755t_bool ).

tff(func_def_1059,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1060,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1061,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1062,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1063,type,
    size_option_nat: ( fun_nat_nat * option_nat ) > nat ).

tff(func_def_1064,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_1065,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_1066,type,
    the_nat: option_nat > nat ).

tff(func_def_1067,type,
    the_num: option_num > num ).

tff(func_def_1068,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1069,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_1070,type,
    bot_bot_nat: nat ).

tff(func_def_1071,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1072,type,
    bot_bot_set_int: set_int ).

tff(func_def_1073,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1074,type,
    bot_bot_set_num: set_num ).

tff(func_def_1075,type,
    bot_bo3208612889749783737r_bool: set_Pr9123050470547338789r_bool ).

tff(func_def_1076,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_1077,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1078,type,
    bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).

tff(func_def_1079,type,
    bot_bo9056780473022590049um_num: set_Pr8218934625190621173um_num ).

tff(func_def_1080,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1081,type,
    bot_bot_set_real: set_real ).

tff(func_def_1082,type,
    bot_bot_set_set_int: set_set_int ).

tff(func_def_1083,type,
    bot_bo8679169850809196913l_bool: fun_Co3748208068438171869l_bool ).

tff(func_def_1084,type,
    bot_bo6207810721336151133t_bool: fun_int_fun_int_bool ).

tff(func_def_1085,type,
    bot_bo6560894463593755925t_bool: fun_nat_fun_nat_bool ).

tff(func_def_1086,type,
    bot_bo531702463448601163m_bool: fun_nat_fun_num_bool ).

tff(func_def_1087,type,
    bot_bo3939865688069203585m_bool: fun_num_fun_num_bool ).

tff(func_def_1088,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1089,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1090,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_1091,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_1092,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_1093,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_1094,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_1095,type,
    ord_less_set_complex: set_complex > fun_set_complex_bool ).

tff(func_def_1096,type,
    ord_less_set_int: set_int > fun_set_int_bool ).

tff(func_def_1097,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1098,type,
    ord_le7158584875777748973t_bool: fun_Pr7757163693017731481t_bool > fun_fu5641360819561228055l_bool ).

tff(func_def_1099,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1100,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1101,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_1102,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_1103,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_1104,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_1105,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_1106,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_bool ).

tff(func_def_1107,type,
    ord_less_eq_set_int: set_int > fun_set_int_bool ).

tff(func_def_1108,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1109,type,
    ord_le2468614981408567801t_bool: fun_Pr7757163693017731481t_bool > fun_fu5641360819561228055l_bool ).

tff(func_def_1110,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1111,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1112,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1113,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1114,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_1115,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_1116,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_1117,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1118,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1119,type,
    ord_max_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_1120,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_1121,type,
    top_top_set_bool: set_bool ).

tff(func_def_1122,type,
    top_top_set_nat: set_nat ).

tff(func_def_1123,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1124,type,
    top_top_set_real: set_real ).

tff(func_def_1125,type,
    top_top_set_char: set_char ).

tff(func_def_1126,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1127,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1128,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1129,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1130,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1131,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1132,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1133,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_1134,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1135,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_1136,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1137,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_1138,type,
    product_Pair_int_int: fun_in1696471567231710611nt_int ).

tff(func_def_1139,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1140,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1141,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_1142,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_1143,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1144,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1145,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1146,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1147,type,
    produc3790773574474814305omplex: ( set_complex * set_complex ) > produc8064648209034914857omplex ).

tff(func_def_1148,type,
    produc6363374080413544029et_int: ( set_int * set_int ) > produc2115011035271226405et_int ).

tff(func_def_1149,type,
    produc4532415448927165861et_nat: ( set_nat * set_nat ) > produc7819656566062154093et_nat ).

tff(func_def_1150,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_1151,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1152,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1153,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1154,type,
    produc2004789812759622991on_nat: ( fun_nat_fun_nat_bool * produc4953844613479565601on_nat ) > produc3700678068921409119on_nat ).

tff(func_def_1155,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_1156,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1157,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_1158,type,
    produc8433281988922931063on_num: ( fun_num_fun_num_bool * produc3447558737645232053on_num ) > produc6167219322466932359on_num ).

tff(func_def_1159,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1160,type,
    produc5961576194287291153at_nat: ( fun_Pr248683899324676269t_bool * produc6121120109295599847at_nat ) > produc533602882674032673at_nat ).

tff(func_def_1161,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1162,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1163,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1164,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1165,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1166,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1167,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1168,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_1169,type,
    produc2506095642196730057l_bool: fun_Co3748208068438171869l_bool > fun_Pr8281063099935739201l_bool ).

tff(func_def_1170,type,
    produc4797875024747972146omplex: ( fun_Co3393511490457469770omplex * produc7417142470700560111r_bool ) > set_complex ).

tff(func_def_1171,type,
    produc4889148174653108912et_int: ( fun_Co8243421489322702280et_int * produc7417142470700560111r_bool ) > set_int ).

tff(func_def_1172,type,
    produc9066999194162305620et_nat: ( fun_Co3833597871255845228et_nat * produc7417142470700560111r_bool ) > set_nat ).

tff(func_def_1173,type,
    produc4532933866054709936t_real: ( fun_Co2315910201472382152t_real * produc7417142470700560111r_bool ) > set_real ).

tff(func_def_1174,type,
    produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).

tff(func_def_1175,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1176,type,
    produc8211389475949308722nt_int: fun_int_fun_int_int > fun_Pr982841511892225912nt_int ).

tff(func_def_1177,type,
    produc4245557441103728435nt_int: fun_in1696471567231710611nt_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1178,type,
    produc1917071388513777916omplex: fun_na1142814060743658952omplex > fun_Pr4050773816208733250omplex ).

tff(func_def_1179,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1180,type,
    produc6840382203811409530at_int: ( fun_nat_fun_nat_int * product_prod_nat_nat ) > int ).

tff(func_def_1181,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1182,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1183,type,
    produc6207742614233964070at_rat: ( fun_nat_fun_nat_rat * product_prod_nat_nat ) > rat ).

tff(func_def_1184,type,
    produc1703576794950452218t_real: fun_nat_fun_nat_real > fun_Pr672294278902479040t_real ).

tff(func_def_1185,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_1186,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1187,type,
    produc3677492636715751295m_bool: fun_nat_fun_num_bool > fun_Pr1727971692872576719m_bool ).

tff(func_def_1188,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1189,type,
    produc4130284055270567454et_nat: ( fun_na3896347130304379370et_nat * product_prod_nat_num ) > set_nat ).

tff(func_def_1190,type,
    produc1435849484188172666t_real: ( fun_na3666575854997362246t_real * product_prod_nat_num ) > set_real ).

tff(func_def_1191,type,
    produc8237051459014760373m_bool: fun_num_fun_num_bool > fun_Pr6287530515171585797m_bool ).

tff(func_def_1192,type,
    produc2866383454006189126omplex: ( fun_nu9041852840018610706omplex * product_prod_num_num ) > set_complex ).

tff(func_def_1193,type,
    produc6406642877701697732et_int: ( fun_nu4940571614878387344et_int * product_prod_num_num ) > set_int ).

tff(func_def_1194,type,
    produc1361121860356118632et_nat: ( fun_nu530747996811530292et_nat * product_prod_num_num ) > set_nat ).

tff(func_def_1195,type,
    produc8296048397933160132t_real: ( fun_nu4698968662094489488t_real * product_prod_num_num ) > set_real ).

tff(func_def_1196,type,
    produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).

tff(func_def_1197,type,
    produc1847240705748860961x_bool: fun_se2925769915755310977x_bool > fun_Pr1750583862126158961x_bool ).

tff(func_def_1198,type,
    produc6614410065919771685t_bool: fun_se6049520964208396421t_bool > fun_Pr8133618145831759733t_bool ).

tff(func_def_1199,type,
    produc6837115875915843293t_bool: fun_se707272970763642173t_bool > fun_Pr5591635095200564269t_bool ).

tff(func_def_1200,type,
    product_fst_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1201,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1202,type,
    product_snd_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1203,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1204,type,
    fract: int > fun_int_rat ).

tff(func_def_1205,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1206,type,
    normalize: fun_Pr2478283820680522243nt_int ).

tff(func_def_1207,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1208,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1209,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1210,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1211,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1212,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1213,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1214,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1215,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1216,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1217,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1218,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1219,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1220,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1221,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1222,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1223,type,
    dvd_dvd_complex: fun_co1378794544173401837x_bool ).

tff(func_def_1224,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1225,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1226,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1227,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_1228,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1229,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_1230,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1231,type,
    zero_n356916108424825756nteger: bool > code_integer ).

tff(func_def_1232,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_1233,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1234,type,
    zero_n2687167440665602831ol_nat: bool > nat ).

tff(func_def_1235,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_1236,type,
    zero_n3304061248610475627l_real: bool > real ).

tff(func_def_1237,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1238,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1239,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1240,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1241,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_1242,type,
    sums_int: fun_nat_int > fun_int_bool ).

tff(func_def_1243,type,
    sums_nat: fun_nat_nat > fun_nat_bool ).

tff(func_def_1244,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_1245,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_1246,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_1247,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_1248,type,
    collect_list_complex: fun_li356976171784545970x_bool > set_list_complex ).

tff(func_def_1249,type,
    collect_list_bool: fun_list_bool_bool > set_list_bool ).

tff(func_def_1250,type,
    collect_list_int: fun_list_int_bool > set_list_int ).

tff(func_def_1251,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_1252,type,
    collec5608196760682091941T_VEBT: fun_li6006399982103069984T_bool > set_list_VEBT_VEBT ).

tff(func_def_1253,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_1254,type,
    collect_num: fun_num_bool > set_num ).

tff(func_def_1255,type,
    collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).

tff(func_def_1256,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_1257,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_1258,type,
    collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).

tff(func_def_1259,type,
    collec5108298041176329748omplex: fun_Pr1750583862126158961x_bool > set_Pr6308028481084910985omplex ).

tff(func_def_1260,type,
    collec957716948307931664et_int: fun_Pr8133618145831759733t_bool > set_Pr2522554150109002629et_int ).

tff(func_def_1261,type,
    collec6662362479098859352et_nat: fun_Pr5591635095200564269t_bool > set_Pr5488025237498180813et_nat ).

tff(func_def_1262,type,
    collect_rat: fun_rat_bool > set_rat ).

tff(func_def_1263,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_1264,type,
    collect_set_complex: fun_set_complex_bool > set_set_complex ).

tff(func_def_1265,type,
    collect_set_int: fun_set_int_bool > set_set_int ).

tff(func_def_1266,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_1267,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1268,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1269,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1270,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1271,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1272,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1273,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1274,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1275,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1276,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1277,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1278,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1279,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1280,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1281,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1282,type,
    set_fo8365102181078989356at_num: ( fun_nat_fun_num_num * nat ) > fun_nat_fun_num_num ).

tff(func_def_1283,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1284,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1285,type,
    set_fo3699595496184130361el_nat: fun_Pr4617804334418790189t_bool ).

tff(func_def_1286,type,
    set_fo256927282339908995el_num: fun_Pr7353992663003996845m_bool ).

tff(func_def_1287,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1288,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1289,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1290,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1291,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1292,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_1293,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1294,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1295,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_1296,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1297,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1298,type,
    set_ord_atMost_nat: nat > set_nat ).

tff(func_def_1299,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1300,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1301,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1302,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

tff(func_def_1303,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1304,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1305,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1306,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1307,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1308,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

tff(func_def_1309,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1310,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1311,type,
    set_ord_lessThan_nat: nat > set_nat ).

tff(func_def_1312,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1313,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1314,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1315,type,
    ascii_of: char > char ).

tff(func_def_1316,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1317,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1318,type,
    integer_of_char: char > code_integer ).

tff(func_def_1319,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1320,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1321,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1322,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1323,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1324,type,
    arccos: fun_real_real ).

tff(func_def_1325,type,
    arcosh_real: fun_real_real ).

tff(func_def_1326,type,
    arcsin: fun_real_real ).

tff(func_def_1327,type,
    arctan: fun_real_real ).

tff(func_def_1328,type,
    arsinh_real: fun_real_real ).

tff(func_def_1329,type,
    artanh_real: fun_real_real ).

tff(func_def_1330,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1331,type,
    cos_real: fun_real_real ).

tff(func_def_1332,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1333,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_1334,type,
    cosh_real: fun_real_real ).

tff(func_def_1335,type,
    cot_real: fun_real_real ).

tff(func_def_1336,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1337,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1338,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1339,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1340,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1341,type,
    exp_real: fun_real_real ).

tff(func_def_1342,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1343,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1344,type,
    pi: real ).

tff(func_def_1345,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1346,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1347,type,
    sin_real: fun_real_real ).

tff(func_def_1348,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1349,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_1350,type,
    sinh_real: fun_real_real ).

tff(func_def_1351,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1352,type,
    tan_real: fun_real_real ).

tff(func_def_1353,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1354,type,
    tanh_real: fun_real_real ).

tff(func_def_1355,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1356,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1357,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1358,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1359,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1360,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1361,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1362,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1363,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1364,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1365,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1366,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1367,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1368,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1369,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1370,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1371,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1372,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1373,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1374,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1375,type,
    vEBT_vebt_delete_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1376,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1377,type,
    vEBT_vebt_insert_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1378,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1379,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

tff(func_def_1380,type,
    vEBT_V6963167321098673237ll_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1381,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1382,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1383,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1384,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1385,type,
    vEBT_VEBT_greater: fun_op7792301606653096457t_bool ).

tff(func_def_1386,type,
    vEBT_VEBT_less: fun_op7792301606653096457t_bool ).

tff(func_def_1387,type,
    vEBT_VEBT_lesseq: fun_op7792301606653096457t_bool ).

tff(func_def_1388,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_bool ).

tff(func_def_1389,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_bool ).

tff(func_def_1390,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1391,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1392,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1393,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1394,type,
    vEBT_V3895251965096974666el_nat: fun_Pr4582292742318232305t_bool ).

tff(func_def_1395,type,
    vEBT_V452583751252753300el_num: fun_Pr205781412008949125m_bool ).

tff(func_def_1396,type,
    vEBT_V7235779383477046023at_nat: fun_Pr8292650585710461613t_bool ).

tff(func_def_1397,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1398,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1399,type,
    vEBT_vebt_maxt_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1400,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1401,type,
    vEBT_vebt_mint_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1402,type,
    vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_1403,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1404,type,
    vEBT_vebt_pred_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1405,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_1406,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1407,type,
    vEBT_vebt_succ_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1408,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1409,type,
    accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1410,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1411,type,
    accp_P3113834385874906142um_num: fun_Pr5837708615769641901m_bool > fun_Pr6287530515171585797m_bool ).

tff(func_def_1412,type,
    accp_P2887432264394892906BT_nat: fun_Pr817965127378462947t_bool > fun_Pr2834072668759824765t_bool ).

tff(func_def_1413,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_1414,type,
    finite8643634255014194347omplex: set_Pr6308028481084910985omplex ).

tff(func_def_1415,type,
    finite_psubset_int: set_Pr2522554150109002629et_int ).

tff(func_def_1416,type,
    finite_psubset_nat: set_Pr5488025237498180813et_nat ).

tff(func_def_1417,type,
    measure_int: fun_int_nat > set_Pr958786334691620121nt_int ).

tff(func_def_1418,type,
    measure_nat: fun_nat_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1419,type,
    measure_num: fun_num_nat > set_Pr8218934625190621173um_num ).

tff(func_def_1420,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1421,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1422,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1423,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1424,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1425,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1426,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1427,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1428,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1429,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1430,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1431,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1432,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1433,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1434,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1435,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1436,type,
    aa_Cod8494480694608518558l_bool: ( fun_Co3748208068438171869l_bool * code_integer ) > fun_bool_bool ).

tff(func_def_1437,type,
    aa_Cod7104299617959582899omplex: ( fun_Co3393511490457469770omplex * code_integer ) > fun_bool_set_complex ).

tff(func_def_1438,type,
    aa_Cod3028211423871489585et_int: ( fun_Co8243421489322702280et_int * code_integer ) > fun_bool_set_int ).

tff(func_def_1439,type,
    aa_Cod5518294568803216341et_nat: ( fun_Co3833597871255845228et_nat * code_integer ) > fun_bool_set_nat ).

tff(func_def_1440,type,
    aa_Cod7081859000793828145t_real: ( fun_Co2315910201472382152t_real * code_integer ) > fun_bool_set_real ).

tff(func_def_1441,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1442,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1443,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1444,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1445,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1446,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1447,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1448,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1449,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1450,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1451,type,
    aa_com177695874307951165omplex: ( fun_co3732688428756473980omplex * complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1452,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1453,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1454,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1455,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1456,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1457,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1458,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_1459,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1460,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1461,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1462,type,
    aa_bool_set_complex: ( fun_bool_set_complex * bool ) > set_complex ).

tff(func_def_1463,type,
    aa_bool_set_int: ( fun_bool_set_int * bool ) > set_int ).

tff(func_def_1464,type,
    aa_bool_set_nat: ( fun_bool_set_nat * bool ) > set_nat ).

tff(func_def_1465,type,
    aa_bool_set_real: ( fun_bool_set_real * bool ) > set_real ).

tff(func_def_1466,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1467,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1468,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1469,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1470,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1471,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1472,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1473,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1474,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1475,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1476,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1477,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1478,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1479,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1480,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1481,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1482,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1483,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1484,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1485,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1486,type,
    aa_list_complex_bool: ( fun_li356976171784545970x_bool * list_complex ) > bool ).

tff(func_def_1487,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1488,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1489,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1490,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1491,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1492,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1493,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1494,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1495,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1496,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1497,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1498,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1499,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1500,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1501,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1502,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1503,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1504,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1505,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1506,type,
    aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).

tff(func_def_1507,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1508,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1509,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1510,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1511,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1512,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1513,type,
    aa_nat8039161444313734436x_bool: ( fun_na376774557589183419x_bool * nat ) > fun_li356976171784545970x_bool ).

tff(func_def_1514,type,
    aa_nat4862889769322786699l_bool: ( fun_na205931550456536010l_bool * nat ) > fun_list_bool_bool ).

tff(func_def_1515,type,
    aa_nat1619170893822700070t_bool: ( fun_na7919044170365968317t_bool * nat ) > fun_list_int_bool ).

tff(func_def_1516,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1517,type,
    aa_nat1297483763028037422T_bool: ( fun_na2508794161012263405T_bool * nat ) > fun_li6006399982103069984T_bool ).

tff(func_def_1518,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1519,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1520,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1521,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1522,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1523,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1524,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1525,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1526,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1527,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1528,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1529,type,
    aa_nat2608338788294301521m_bool: ( fun_na4307237274036209000m_bool * nat ) > fun_nat_fun_num_bool ).

tff(func_def_1530,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1531,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1532,type,
    aa_nat_fun_num_bool: ( fun_nat_fun_num_bool * nat ) > fun_num_bool ).

tff(func_def_1533,type,
    aa_nat_fun_num_num: ( fun_nat_fun_num_num * nat ) > fun_num_num ).

tff(func_def_1534,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1535,type,
    aa_nat8983105546408692139et_nat: ( fun_na3896347130304379370et_nat * nat ) > fun_num_set_nat ).

tff(func_def_1536,type,
    aa_nat1437378620602899975t_real: ( fun_na3666575854997362246t_real * nat ) > fun_num_set_real ).

tff(func_def_1537,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1538,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1539,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1540,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1541,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1542,type,
    aa_nat_fun_real_bool: ( fun_na6801867027684862029l_bool * nat ) > fun_real_bool ).

tff(func_def_1543,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1544,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1545,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1546,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1547,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1548,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1549,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1550,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1551,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1552,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1553,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1554,type,
    aa_num_set_complex: ( fun_num_set_complex * num ) > set_complex ).

tff(func_def_1555,type,
    aa_num_set_int: ( fun_num_set_int * num ) > set_int ).

tff(func_def_1556,type,
    aa_num_set_nat: ( fun_num_set_nat * num ) > set_nat ).

tff(func_def_1557,type,
    aa_num_set_real: ( fun_num_set_real * num ) > set_real ).

tff(func_def_1558,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1559,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1560,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1561,type,
    aa_num241437687621652691omplex: ( fun_nu9041852840018610706omplex * num ) > fun_num_set_complex ).

tff(func_def_1562,type,
    aa_num3127423267984116305et_int: ( fun_nu4940571614878387344et_int * num ) > fun_num_set_int ).

tff(func_def_1563,type,
    aa_num5617506412915843061et_nat: ( fun_nu530747996811530292et_nat * num ) > fun_num_set_nat ).

tff(func_def_1564,type,
    aa_num2469771427700027217t_real: ( fun_nu4698968662094489488t_real * num ) > fun_num_set_real ).

tff(func_def_1565,type,
    aa_option_nat_bool: ( fun_option_nat_bool * option_nat ) > bool ).

tff(func_def_1566,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1567,type,
    aa_opt7943525813896274546t_bool: ( fun_op7792301606653096457t_bool * option_nat ) > fun_option_nat_bool ).

tff(func_def_1568,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1569,type,
    aa_opt1914333813751119784m_bool: ( fun_op8690601775248757823m_bool * option_nat ) > fun_option_num_bool ).

tff(func_def_1570,type,
    aa_opt9009324110926966577t_bool: ( fun_op5698422665285572208t_bool * option_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1571,type,
    aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).

tff(func_def_1572,type,
    aa_opt1215501472626160296t_bool: ( fun_op1064277265382982207t_bool * option_num ) > fun_option_nat_bool ).

tff(func_def_1573,type,
    aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).

tff(func_def_1574,type,
    aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).

tff(func_def_1575,type,
    aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).

tff(func_def_1576,type,
    aa_opt5915962183577952389t_bool: ( fun_op9100744243108201484t_bool * option4927543243414619207at_nat ) > fun_option_nat_bool ).

tff(func_def_1577,type,
    aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).

tff(func_def_1578,type,
    aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1579,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1580,type,
    aa_Pro6456355659118895914l_bool: ( fun_Pr8281063099935739201l_bool * produc7417142470700560111r_bool ) > bool ).

tff(func_def_1581,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1582,type,
    aa_Pro6799258434465214121nt_int: ( fun_Pr982841511892225912nt_int * product_prod_int_int ) > int ).

tff(func_def_1583,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1584,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1585,type,
    aa_Pro82899191565270131omplex: ( fun_Pr4050773816208733250omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1586,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1587,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1588,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1589,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1590,type,
    aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).

tff(func_def_1591,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1592,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1593,type,
    aa_Pro5426739851356932296m_bool: ( fun_Pr1727971692872576719m_bool * product_prod_nat_num ) > bool ).

tff(func_def_1594,type,
    aa_Pro762926636801165566m_bool: ( fun_Pr6287530515171585797m_bool * product_prod_num_num ) > bool ).

tff(func_def_1595,type,
    aa_Pro2164613399825298270m_bool: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > fun_Pr6287530515171585797m_bool ).

tff(func_def_1596,type,
    aa_Pro1009365227942981478t_bool: ( fun_Pr2834072668759824765t_bool * produc9072475918466114483BT_nat ) > bool ).

tff(func_def_1597,type,
    aa_Pro263205025495559628t_bool: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > fun_Pr2834072668759824765t_bool ).

tff(func_def_1598,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1599,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1600,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1601,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1602,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1603,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1604,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1605,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1606,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1607,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1608,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1609,type,
    aa_rat7467449789483521253at_rat: ( fun_ra8505079968215247908at_rat * rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1610,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1611,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1612,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1613,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1614,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1615,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1616,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1617,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1618,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1619,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1620,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1621,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1622,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1623,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1624,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1625,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1626,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1627,type,
    aa_rea1729780184207679413t_real: ( fun_re6135230694098607860t_real * real ) > fun_re8542384036533109323t_real ).

tff(func_def_1628,type,
    aa_set_complex_bool: ( fun_set_complex_bool * set_complex ) > bool ).

tff(func_def_1629,type,
    aa_set7743095458595710203omplex: ( fun_se7512233253626865466omplex * set_complex ) > fun_complex_complex ).

tff(func_def_1630,type,
    aa_set6592632205191297002x_bool: ( fun_se2925769915755310977x_bool * set_complex ) > fun_set_complex_bool ).

tff(func_def_1631,type,
    aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).

tff(func_def_1632,type,
    aa_set7310040872927613301nt_int: ( fun_se4827636401813558708nt_int * set_int ) > fun_int_int ).

tff(func_def_1633,type,
    aa_set7694327796961020398t_bool: ( fun_se6049520964208396421t_bool * set_int ) > fun_set_int_bool ).

tff(func_def_1634,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1635,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1636,type,
    aa_set6537093552120046177at_nat: ( fun_se1179353343636554400at_nat * set_nat ) > fun_nat_nat ).

tff(func_def_1637,type,
    aa_set1166323925324055613t_real: ( fun_se1654316830156123260t_real * set_nat ) > fun_nat_real ).

tff(func_def_1638,type,
    aa_set5116768664143533222t_bool: ( fun_se707272970763642173t_bool * set_nat ) > fun_set_nat_bool ).

tff(func_def_1639,type,
    aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).

tff(func_def_1640,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1641,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1642,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1643,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1644,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1645,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1646,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1647,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1648,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1649,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1650,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1651,type,
    aa_fun9073502203726719595x_bool: ( fun_fu5519326811792979714x_bool * fun_complex_complex ) > fun_complex_bool ).

tff(func_def_1652,type,
    aa_fun6995112137416684571omplex: ( fun_fu8998703528969179354omplex * fun_complex_complex ) > fun_co7673397065115134084omplex ).

tff(func_def_1653,type,
    aa_fun1583801116089702097omplex: ( fun_fu8084223252616112272omplex * fun_complex_complex ) > fun_se7512233253626865466omplex ).

tff(func_def_1654,type,
    aa_fun6641798613628721963x_bool: ( fun_fu3191020621175015362x_bool * fun_complex_complex ) > fun_fu5519326811792979714x_bool ).

tff(func_def_1655,type,
    aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1656,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1657,type,
    aa_fun2898354424061222765x_bool: ( fun_fu6356453956411242500x_bool * fun_complex_real ) > fun_complex_bool ).

tff(func_def_1658,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1659,type,
    aa_fun2094807616088678831x_bool: ( fun_fu5995210064384465734x_bool * fun_complex_real ) > fun_fu6356453956411242500x_bool ).

tff(func_def_1660,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1661,type,
    aa_fun8146511558608327279t_bool: ( fun_fu7152481525987436038t_bool * fun_int_complex ) > fun_int_bool ).

tff(func_def_1662,type,
    aa_fun3850298374753145905t_bool: ( fun_fu5129045444369776328t_bool * fun_int_complex ) > fun_fu7152481525987436038t_bool ).

tff(func_def_1663,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1664,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1665,type,
    aa_fun5911324870756489105nt_int: ( fun_fu923337204662071120nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_1666,type,
    aa_fun8076508010538293575nt_int: ( fun_fu3739269683040691718nt_int * fun_int_int ) > fun_se4827636401813558708nt_int ).

tff(func_def_1667,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1668,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1669,type,
    aa_fun1262781554902806129t_bool: ( fun_fu549321512867696136t_bool * fun_int_real ) > fun_int_bool ).

tff(func_def_1670,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1671,type,
    aa_fun6205147705862377397t_bool: ( fun_fu3401574108658714444t_bool * fun_int_real ) > fun_fu549321512867696136t_bool ).

tff(func_def_1672,type,
    aa_fun6009467934925565500t_bool: ( fun_fu8303687057036190147t_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1673,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1674,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1675,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1676,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1677,type,
    aa_fun8004580481347240231t_bool: ( fun_fu4346542433904371390t_bool * fun_nat_complex ) > fun_nat_bool ).

tff(func_def_1678,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1679,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1680,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1681,type,
    aa_fun5430245816583273541t_bool: ( fun_fu8382797250367883996t_bool * fun_nat_complex ) > fun_fu4346542433904371390t_bool ).

tff(func_def_1682,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1683,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1684,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_1685,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_1686,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1687,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1688,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_1689,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1690,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1691,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1692,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1693,type,
    aa_fun4561837934398617467at_nat: ( fun_fu2454420574033104442at_nat * fun_nat_nat ) > fun_se1179353343636554400at_nat ).

tff(func_def_1694,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1695,type,
    aa_fun5637262893798792573t_bool: ( fun_fu3052598110916186900t_bool * fun_nat_rat ) > fun_nat_bool ).

tff(func_def_1696,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1697,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1698,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1699,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1700,type,
    aa_fun2107527232086395633t_bool: ( fun_fu2971308621445215880t_bool * fun_nat_rat ) > fun_fu3052598110916186900t_bool ).

tff(func_def_1701,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1702,type,
    aa_fun1349230436907296553t_bool: ( fun_fu7195134416904984768t_bool * fun_nat_real ) > fun_nat_bool ).

tff(func_def_1703,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1704,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1705,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_1706,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_1707,type,
    aa_fun1400677770452585267t_real: ( fun_fu3306995184869731826t_real * fun_nat_real ) > fun_se1654316830156123260t_real ).

tff(func_def_1708,type,
    aa_fun849216055071118793t_bool: ( fun_fu8639250699203096928t_bool * fun_nat_real ) > fun_fu7195134416904984768t_bool ).

tff(func_def_1709,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1710,type,
    aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).

tff(func_def_1711,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_1712,type,
    aa_fun2305595801590362634t_bool: ( fun_fu7164412255009898145t_bool * fun_nat_fun_nat_nat ) > fun_na3408937105440547634t_bool ).

tff(func_def_1713,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_1714,type,
    aa_fun7437090807486079916m_bool: ( fun_fu2950424802767353155m_bool * fun_nat_fun_num_num ) > fun_na4307237274036209000m_bool ).

tff(func_def_1715,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_1716,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1717,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1718,type,
    aa_fun8917503761599146496t_bool: ( fun_fu7672510408924296255t_bool * fun_Pr803113274115125473t_bool ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1719,type,
    aa_fun8663595511526100224l_bool: ( fun_fu5641360819561228055l_bool * fun_Pr7757163693017731481t_bool ) > bool ).

tff(func_def_1720,type,
    aa_fun830836278467416944t_bool: ( fun_fu6897202038601531823t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1721,type,
    aa_fun2351638177499875132at_nat: ( fun_fu7732904369943091395at_nat * fun_Pr2602117396471556196at_nat ) > fun_Pr2602117396471556196at_nat ).

tff(func_def_1722,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1723,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1724,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1725,type,
    aa_fun3813300650643916655l_bool: ( fun_fu914841811607101702l_bool * fun_real_complex ) > fun_real_bool ).

tff(func_def_1726,type,
    aa_fun5520078544946397361l_bool: ( fun_fu7100649987335273288l_bool * fun_real_complex ) > fun_fu914841811607101702l_bool ).

tff(func_def_1727,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1728,type,
    aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1729,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1730,type,
    aa_fun8987621170725249221l_bool: ( fun_fu2277326744902863452l_bool * fun_real_rat ) > fun_real_bool ).

tff(func_def_1731,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1732,type,
    aa_fun8530242357055030877l_bool: ( fun_fu6750725090257165812l_bool * fun_real_rat ) > fun_fu2277326744902863452l_bool ).

tff(func_def_1733,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_1734,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1735,type,
    aa_fun334843040499603765l_bool: ( fun_fu2568719150003003596l_bool * fun_real_real ) > fun_fu7376312551830202376l_bool ).

tff(func_def_1736,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1737,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1738,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1739,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1740,type,
    fFalse: bool ).

tff(func_def_1741,type,
    fNot: fun_bool_bool ).

tff(func_def_1742,type,
    fTrue: bool ).

tff(func_def_1743,type,
    fconj: bool > fun_bool_bool ).

tff(func_def_1744,type,
    fdisj: bool > fun_bool_bool ).

tff(func_def_1745,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1746,type,
    fequal_bool: bool > fun_bool_bool ).

tff(func_def_1747,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1748,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1749,type,
    fequal_option_nat: fun_op7792301606653096457t_bool ).

tff(func_def_1750,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1751,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1752,type,
    member_complex: complex > fun_set_complex_bool ).

tff(func_def_1753,type,
    member_int: int > fun_set_int_bool ).

tff(func_def_1754,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1755,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1756,type,
    deg: nat ).

tff(func_def_1757,type,
    m: nat ).

tff(func_def_1758,type,
    ma: nat ).

tff(func_def_1759,type,
    mi: nat ).

tff(func_def_1760,type,
    na: nat ).

tff(func_def_1761,type,
    summary: vEBT_VEBT ).

tff(func_def_1762,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1763,type,
    xa: nat ).

tff(func_def_1764,type,
    ya: nat ).

tff(func_def_1765,type,
    sK119: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1766,type,
    sK120: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1767,type,
    sK121: nat > list_VEBT_VEBT ).

tff(func_def_1768,type,
    sK122: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1769,type,
    sK123: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1770,type,
    sK124: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1771,type,
    sK125: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1772,type,
    sK126: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1773,type,
    sK127: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1774,type,
    sK128: nat > nat ).

tff(func_def_1775,type,
    sK129: nat > nat ).

tff(func_def_1776,type,
    sK130: nat > nat ).

tff(func_def_1777,type,
    sK131: nat > nat ).

tff(func_def_1778,type,
    sK132: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1779,type,
    sK133: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1780,type,
    sK134: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1781,type,
    sK135: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1782,type,
    sK136: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1783,type,
    sK137: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1784,type,
    sK138: nat > nat ).

tff(func_def_1785,type,
    sK139: nat > nat ).

tff(func_def_1786,type,
    sK140: nat > nat ).

tff(func_def_1787,type,
    sK141: nat > nat ).

tff(func_def_1788,type,
    sK142: fun_nat_bool > nat ).

tff(func_def_1789,type,
    sK143: nat > nat ).

tff(func_def_1790,type,
    sK144: fun_nat_bool > nat ).

tff(func_def_1791,type,
    sK145: fun_nat_bool > nat ).

tff(func_def_1792,type,
    sK146: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1793,type,
    sK147: fun_nat_bool > nat ).

tff(func_def_1794,type,
    sK148: fun_nat_fun_nat_bool > nat ).

tff(func_def_1795,type,
    sK149: fun_nat_fun_nat_bool > nat ).

tff(func_def_1796,type,
    sK150: fun_nat_fun_nat_bool > nat ).

tff(func_def_1797,type,
    sK151: fun_nat_fun_nat_bool > nat ).

tff(func_def_1798,type,
    sK152: fun_nat_fun_nat_bool > nat ).

tff(func_def_1799,type,
    sK153: fun_nat_bool > nat ).

tff(func_def_1800,type,
    sK154: fun_nat_bool > nat ).

tff(func_def_1801,type,
    sK155: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1802,type,
    sK156: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1803,type,
    sK157: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1804,type,
    sK158: product_prod_nat_nat > nat ).

tff(func_def_1805,type,
    sK159: product_prod_nat_nat > nat ).

tff(func_def_1806,type,
    sK160: product_prod_nat_nat > nat ).

tff(func_def_1807,type,
    sK161: product_prod_nat_nat > nat ).

tff(func_def_1808,type,
    sK162: product_prod_nat_nat > nat ).

tff(func_def_1809,type,
    sK163: product_prod_nat_nat > nat ).

tff(func_def_1810,type,
    sK164: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1811,type,
    sK165: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1812,type,
    sK166: nat > nat ).

tff(func_def_1813,type,
    sK167: nat > nat ).

tff(func_def_1814,type,
    sK168: nat > nat ).

tff(func_def_1815,type,
    sK169: nat > nat ).

tff(func_def_1816,type,
    sK170: fun_nat_bool > nat ).

tff(func_def_1817,type,
    sK171: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1818,type,
    sK172: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1819,type,
    sK173: fun_nat_fun_nat_bool > nat ).

tff(func_def_1820,type,
    sK174: fun_nat_fun_nat_bool > nat ).

tff(func_def_1821,type,
    sK175: fun_nat_fun_nat_bool > nat ).

tff(func_def_1822,type,
    sK176: fun_nat_fun_nat_bool > nat ).

tff(func_def_1823,type,
    sK177: fun_nat_nat > nat ).

tff(func_def_1824,type,
    sK178: fun_nat_nat > nat ).

tff(func_def_1825,type,
    sK179: fun_nat_bool > nat ).

tff(func_def_1826,type,
    sK180: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1827,type,
    sK181: fun_nat_bool > nat ).

tff(func_def_1828,type,
    sK182: nat > nat ).

tff(func_def_1829,type,
    sK183: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1830,type,
    sK184: ( nat * nat ) > nat ).

tff(func_def_1831,type,
    sK185: nat > nat ).

tff(func_def_1832,type,
    sK186: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1833,type,
    sK187: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1834,type,
    sK188: nat > nat ).

tff(func_def_1835,type,
    sK189: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1836,type,
    sK190: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1837,type,
    sK191: nat > nat ).

tff(func_def_1838,type,
    sK192: nat > nat ).

tff(func_def_1839,type,
    sK193: fun_nat_bool > nat ).

tff(func_def_1840,type,
    sK194: fun_nat_fun_nat_bool > nat ).

tff(func_def_1841,type,
    sK195: fun_nat_fun_nat_bool > nat ).

tff(func_def_1842,type,
    sK196: fun_nat_fun_nat_bool > nat ).

tff(func_def_1843,type,
    sK197: fun_nat_fun_nat_bool > nat ).

tff(func_def_1844,type,
    sK198: fun_nat_bool > nat ).

tff(func_def_1845,type,
    sK199: nat > nat ).

tff(func_def_1846,type,
    sK200: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1847,type,
    sK201: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1848,type,
    sK202: fun_nat_nat > nat ).

tff(func_def_1849,type,
    sK203: fun_nat_nat > nat ).

tff(func_def_1850,type,
    sK204: fun_nat_nat > nat ).

tff(func_def_1851,type,
    sK205: fun_nat_real > nat ).

tff(func_def_1852,type,
    sK206: fun_nat_nat > nat ).

tff(func_def_1853,type,
    sK207: fun_nat_real > nat ).

tff(func_def_1854,type,
    sK208: nat > nat ).

tff(func_def_1855,type,
    sK209: fun_nat_bool > nat ).

tff(func_def_1856,type,
    sK210: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1857,type,
    sK211: fun_nat_fun_nat_bool > nat ).

tff(func_def_1858,type,
    sK212: fun_nat_fun_nat_bool > nat ).

tff(func_def_1859,type,
    sK213: fun_nat_fun_nat_bool > nat ).

tff(func_def_1860,type,
    sK214: fun_nat_fun_nat_bool > nat ).

tff(func_def_1861,type,
    sK215: fun_nat_fun_nat_bool > nat ).

tff(func_def_1862,type,
    sK216: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1863,type,
    sK217: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1864,type,
    sK218: fun_nat_fun_nat_bool > nat ).

tff(func_def_1865,type,
    sK219: fun_nat_fun_nat_bool > nat ).

tff(func_def_1866,type,
    sK220: fun_nat_fun_nat_bool > nat ).

tff(func_def_1867,type,
    sK221: fun_nat_fun_nat_bool > nat ).

tff(func_def_1868,type,
    sK222: ( nat * nat ) > nat ).

tff(func_def_1869,type,
    sK223: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1870,type,
    sK224: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1871,type,
    sK225: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1872,type,
    sK226: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1873,type,
    sK227: ( nat * nat ) > nat ).

tff(func_def_1874,type,
    sK228: ( nat * nat ) > nat ).

tff(func_def_1875,type,
    sK229: fun_nat_bool > nat ).

tff(func_def_1876,type,
    sK230: fun_nat_bool > nat ).

tff(func_def_1877,type,
    sK231: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1878,type,
    sK232: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1879,type,
    sK233: fun_nat_bool > nat ).

tff(func_def_1880,type,
    sK234: fun_nat_fun_nat_bool > nat ).

tff(func_def_1881,type,
    sK235: fun_nat_fun_nat_bool > nat ).

tff(func_def_1882,type,
    sK236: fun_nat_fun_nat_bool > nat ).

tff(func_def_1883,type,
    sK237: fun_nat_fun_nat_bool > nat ).

tff(func_def_1884,type,
    sK238: fun_nat_fun_nat_bool > nat ).

tff(func_def_1885,type,
    sK239: ( nat * nat ) > nat ).

tff(func_def_1886,type,
    sK240: ( nat * nat ) > nat ).

tff(func_def_1887,type,
    sK241: ( nat * nat ) > nat ).

tff(func_def_1888,type,
    sK242: ( nat * nat ) > nat ).

tff(func_def_1889,type,
    sK243: fun_nat_nat > nat ).

tff(func_def_1890,type,
    sK244: fun_nat_nat > nat ).

tff(func_def_1891,type,
    sK245: ( nat * nat ) > nat ).

tff(func_def_1892,type,
    sK246: ( nat * nat ) > nat ).

tff(func_def_1893,type,
    sK247: ( nat * nat ) > nat ).

tff(func_def_1894,type,
    sK248: ( nat * nat ) > nat ).

tff(func_def_1895,type,
    sK249: ( nat * nat ) > nat ).

tff(func_def_1896,type,
    sK250: nat > nat ).

tff(func_def_1897,type,
    sK251: nat > nat ).

tff(func_def_1898,type,
    sK252: fun_nat_bool > nat ).

tff(func_def_1899,type,
    sK253: fun_nat_bool > nat ).

tff(func_def_1900,type,
    sK254: option_nat > nat ).

tff(func_def_1901,type,
    sK255: option_nat > nat ).

tff(func_def_1902,type,
    sK256: option_nat > nat ).

tff(func_def_1903,type,
    sK257: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1904,type,
    sK258: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_1905,type,
    sK259: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1906,type,
    sK260: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1907,type,
    sK261: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_1908,type,
    sK262: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_1909,type,
    sK263: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_1910,type,
    sK264: vEBT_VEBT > nat ).

tff(func_def_1911,type,
    sK265: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1912,type,
    sK266: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1913,type,
    sK267: ( nat * nat ) > nat ).

tff(func_def_1914,type,
    sK268: ( nat * nat ) > nat ).

tff(func_def_1915,type,
    sK269: vEBT_VEBT > bool ).

tff(func_def_1916,type,
    sK270: vEBT_VEBT > bool ).

tff(func_def_1917,type,
    sK271: vEBT_VEBT > bool ).

tff(func_def_1918,type,
    sK272: vEBT_VEBT > bool ).

tff(func_def_1919,type,
    sK273: vEBT_VEBT > bool ).

tff(func_def_1920,type,
    sK274: vEBT_VEBT > bool ).

tff(func_def_1921,type,
    sK275: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1922,type,
    sK276: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1923,type,
    sK277: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1924,type,
    sK278: fun_nat_fun_nat_bool > nat ).

tff(func_def_1925,type,
    sK279: fun_nat_fun_nat_bool > nat ).

tff(func_def_1926,type,
    sK280: fun_nat_fun_nat_bool > nat ).

tff(func_def_1927,type,
    sK281: ( nat * nat * nat ) > nat ).

tff(func_def_1928,type,
    sK282: ( nat * nat * nat ) > nat ).

tff(func_def_1929,type,
    sK283: ( nat * nat * nat ) > nat ).

tff(func_def_1930,type,
    sK284: ( nat * nat * nat ) > nat ).

tff(func_def_1931,type,
    sK285: ( nat * nat * nat ) > nat ).

tff(func_def_1932,type,
    sK286: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1933,type,
    sK287: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1934,type,
    sK288: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1935,type,
    sK289: ( nat * nat ) > nat ).

tff(func_def_1936,type,
    sK290: vEBT_VEBT > bool ).

tff(func_def_1937,type,
    sK291: vEBT_VEBT > bool ).

tff(func_def_1938,type,
    sK292: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1939,type,
    sK293: vEBT_VEBT > nat ).

tff(func_def_1940,type,
    sK294: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1941,type,
    sK295: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1942,type,
    sK296: vEBT_VEBT > nat ).

tff(func_def_1943,type,
    sK297: vEBT_VEBT > nat ).

tff(func_def_1944,type,
    sK298: vEBT_VEBT > nat ).

tff(func_def_1945,type,
    sK299: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1946,type,
    sK300: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1947,type,
    sK301: vEBT_VEBT > nat ).

tff(func_def_1948,type,
    sK302: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1949,type,
    sK303: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1950,type,
    sK304: vEBT_VEBT > bool ).

tff(func_def_1951,type,
    sK305: vEBT_VEBT > bool ).

tff(func_def_1952,type,
    sK306: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1953,type,
    sK307: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1954,type,
    sK308: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1955,type,
    sK309: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1956,type,
    sK310: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1957,type,
    sK311: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1958,type,
    sK312: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1959,type,
    sK313: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1960,type,
    sK314: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1961,type,
    sK315: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1962,type,
    sK316: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1963,type,
    sK317: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1964,type,
    sK318: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1965,type,
    sK319: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1966,type,
    sK320: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1967,type,
    sK321: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1968,type,
    sK322: vEBT_VEBT > nat ).

tff(func_def_1969,type,
    sK323: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1970,type,
    sK324: list_VEBT_VEBT > nat ).

tff(func_def_1971,type,
    sK325: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1972,type,
    sK326: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1973,type,
    sK327: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1974,type,
    sK328: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1975,type,
    sK329: vEBT_VEBT > nat ).

tff(func_def_1976,type,
    sK330: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1977,type,
    sK331: list_VEBT_VEBT > nat ).

tff(func_def_1978,type,
    sK332: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1979,type,
    sK333: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1980,type,
    sK334: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1981,type,
    sK335: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1982,type,
    sK336: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1983,type,
    sK337: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1984,type,
    sK338: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1985,type,
    sK339: list_VEBT_VEBT > nat ).

tff(func_def_1986,type,
    sK340: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1987,type,
    sK341: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1988,type,
    sK342: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1989,type,
    sK343: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1990,type,
    sK344: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1991,type,
    sK345: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_1992,type,
    sK346: list_VEBT_VEBT > nat ).

tff(func_def_1993,type,
    sK347: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1994,type,
    sK348: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_1995,type,
    sK349: vEBT_VEBT > bool ).

tff(func_def_1996,type,
    sK350: vEBT_VEBT > bool ).

tff(func_def_1997,type,
    sK351: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1998,type,
    sK352: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_1999,type,
    sK353: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK354: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2001,type,
    sK355: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2002,type,
    sK356: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2003,type,
    sK357: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2004,type,
    sK358: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2005,type,
    sK359: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2006,type,
    sK360: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2007,type,
    sK361: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2008,type,
    sK362: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2009,type,
    sK363: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2010,type,
    sK364: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2011,type,
    sK365: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2012,type,
    sK366: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2013,type,
    sK367: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2014,type,
    sK368: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2015,type,
    sK369: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2016,type,
    sK370: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2017,type,
    sK371: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2018,type,
    sK372: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2019,type,
    sK373: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2020,type,
    sK374: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2021,type,
    sK375: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2022,type,
    sK376: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2023,type,
    sK377: vEBT_VEBT > bool ).

tff(func_def_2024,type,
    sK378: vEBT_VEBT > bool ).

tff(func_def_2025,type,
    sK379: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2026,type,
    sK380: list_VEBT_VEBT > nat ).

tff(func_def_2027,type,
    sK381: vEBT_VEBT > nat ).

tff(func_def_2028,type,
    sK382: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2029,type,
    sK383: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2030,type,
    sK384: list_VEBT_VEBT > nat ).

tff(func_def_2031,type,
    sK385: vEBT_VEBT > nat ).

tff(func_def_2032,type,
    sK386: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2033,type,
    sK387: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2034,type,
    sK388: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2035,type,
    sK389: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2036,type,
    sK390: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2037,type,
    sK391: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2038,type,
    sK392: list_VEBT_VEBT > nat ).

tff(func_def_2039,type,
    sK393: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2040,type,
    sK394: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2041,type,
    sK395: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2042,type,
    sK396: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2043,type,
    sK397: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2044,type,
    sK398: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2045,type,
    sK399: list_VEBT_VEBT > nat ).

tff(func_def_2046,type,
    sK400: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2047,type,
    sK401: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2048,type,
    sK402: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2049,type,
    sK403: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2050,type,
    sK404: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_2051,type,
    sK405: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_2052,type,
    sK406: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2053,type,
    sK407: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2054,type,
    sK408: vEBT_VEBT > nat ).

tff(func_def_2055,type,
    sK409: fun_option_nat_bool > nat ).

tff(func_def_2056,type,
    sK410: fun_option_nat_bool > option_nat ).

tff(func_def_2057,type,
    sK411: fun_option_nat_bool > option_nat ).

tff(func_def_2058,type,
    sK412: fun_option_nat_bool > nat ).

tff(func_def_2059,type,
    sK413: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).

tff(func_def_2060,type,
    sK414: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).

tff(func_def_2061,type,
    sK415: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2062,type,
    sK416: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2063,type,
    sK417: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2064,type,
    sK418: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2065,type,
    sK419: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2066,type,
    sK420: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2067,type,
    sK421: real > real ).

tff(func_def_2068,type,
    sK422: real > real ).

tff(func_def_2069,type,
    sK423: real > real ).

tff(func_def_2070,type,
    sK424: real > real ).

tff(func_def_2071,type,
    sK425: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2072,type,
    sK426: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2073,type,
    sK427: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2074,type,
    sK428: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2075,type,
    sK429: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2076,type,
    sK430: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2077,type,
    sK431: real > real ).

tff(func_def_2078,type,
    sK432: real > real ).

tff(func_def_2079,type,
    sK433: real > real ).

tff(func_def_2080,type,
    sK434: real > real ).

tff(func_def_2081,type,
    sK435: ( real * real ) > real ).

tff(func_def_2082,type,
    sK436: real > real ).

tff(func_def_2083,type,
    sK437: real > real ).

tff(func_def_2084,type,
    sK438: ( real * real ) > real ).

tff(func_def_2085,type,
    sK439: fun_re1255401033344146673l_bool > real ).

tff(func_def_2086,type,
    sK440: fun_re1255401033344146673l_bool > real ).

tff(func_def_2087,type,
    sK441: fun_re1255401033344146673l_bool > real ).

tff(func_def_2088,type,
    sK442: fun_re1255401033344146673l_bool > real ).

tff(func_def_2089,type,
    sK443: fun_re1255401033344146673l_bool > real ).

tff(func_def_2090,type,
    sK444: fun_real_real > real ).

tff(func_def_2091,type,
    sK445: fun_real_real > real ).

tff(func_def_2092,type,
    sK446: fun_real_real > real ).

tff(func_def_2093,type,
    sK447: fun_real_real > real ).

tff(func_def_2094,type,
    sK448: fun_real_real > real ).

tff(func_def_2095,type,
    sK449: fun_real_real > real ).

tff(func_def_2096,type,
    sK450: fun_real_real > real ).

tff(func_def_2097,type,
    sK451: fun_real_real > real ).

tff(func_def_2098,type,
    sK452: real > real ).

tff(func_def_2099,type,
    sK453: real > real ).

tff(func_def_2100,type,
    sK454: fun_nat_real > nat ).

tff(func_def_2101,type,
    sK455: fun_nat_real > nat ).

tff(func_def_2102,type,
    sK456: fun_nat_real > nat ).

tff(func_def_2103,type,
    sK457: fun_nat_real > nat ).

tff(func_def_2104,type,
    sK458: fun_nat_real > nat ).

tff(func_def_2105,type,
    sK459: fun_nat_real > nat ).

tff(func_def_2106,type,
    sK460: ( nat * real ) > real ).

tff(func_def_2107,type,
    sK461: ( nat * real ) > real ).

tff(func_def_2108,type,
    sK462: ( real * real ) > nat ).

tff(func_def_2109,type,
    sK463: ( real * nat ) > real ).

tff(func_def_2110,type,
    sK464: ( real * real ) > nat ).

tff(func_def_2111,type,
    sK465: ( real * real ) > real ).

tff(func_def_2112,type,
    sK466: nat > nat ).

tff(func_def_2113,type,
    sK467: nat > nat ).

tff(func_def_2114,type,
    sK468: ( nat * nat ) > nat ).

tff(func_def_2115,type,
    sK469: ( nat * nat ) > nat ).

tff(func_def_2116,type,
    sK470: ( nat * nat ) > nat ).

tff(func_def_2117,type,
    sK471: ( nat * nat ) > nat ).

tff(func_def_2118,type,
    sK472: ( nat * nat ) > nat ).

tff(func_def_2119,type,
    sK473: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2120,type,
    sK474: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2121,type,
    sK475: ( nat * nat ) > nat ).

tff(func_def_2122,type,
    sK476: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    sK477: ( nat * nat ) > nat ).

tff(func_def_2124,type,
    sK478: ( nat * nat * nat ) > nat ).

tff(func_def_2125,type,
    sK479: ( nat * nat * nat ) > nat ).

tff(func_def_2126,type,
    sK480: ( nat * nat ) > nat ).

tff(func_def_2127,type,
    sK481: ( nat * nat ) > nat ).

tff(func_def_2128,type,
    sK482: ( nat * nat ) > nat ).

tff(func_def_2129,type,
    sK483: ( nat * nat ) > nat ).

tff(func_def_2130,type,
    sK484: ( nat * nat ) > nat ).

tff(func_def_2131,type,
    sK485: ( nat * nat ) > nat ).

tff(func_def_2132,type,
    sK486: ( nat * nat ) > nat ).

tff(func_def_2133,type,
    sK487: ( nat * nat * nat ) > nat ).

tff(func_def_2134,type,
    sK488: ( nat * nat * nat ) > nat ).

tff(func_def_2135,type,
    sK489: ( nat * nat * nat ) > nat ).

tff(func_def_2136,type,
    sK490: ( nat * nat * nat ) > nat ).

tff(func_def_2137,type,
    sK491: ( nat * nat ) > nat ).

tff(func_def_2138,type,
    sK492: ( nat * nat ) > nat ).

tff(func_def_2139,type,
    sK493: ( real * real ) > real ).

tff(func_def_2140,type,
    sK494: real > nat ).

tff(func_def_2141,type,
    sK495: real > nat ).

tff(func_def_2142,type,
    sK496: ( real * real ) > nat ).

tff(func_def_2143,type,
    sK497: real > nat ).

tff(func_def_2144,type,
    sK498: ( real * real ) > nat ).

tff(func_def_2145,type,
    sK499: ( real * real ) > nat ).

tff(func_def_2146,type,
    sK500: ( fun_re1255401033344146673l_bool * real * real ) > real ).

tff(func_def_2147,type,
    sK501: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_2148,type,
    sK502: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_2149,type,
    sK503: fun_re1255401033344146673l_bool > real ).

tff(func_def_2150,type,
    sK504: fun_re1255401033344146673l_bool > real ).

tff(func_def_2151,type,
    sK505: fun_re1255401033344146673l_bool > real ).

tff(func_def_2152,type,
    sK506: ( real * fun_real_bool ) > real ).

tff(func_def_2153,type,
    sK507: ( real * fun_real_bool ) > real ).

tff(func_def_2154,type,
    sK508: ( fun_real_bool * real ) > real ).

tff(func_def_2155,type,
    sK509: ( fun_real_bool * real ) > real ).

tff(func_def_2156,type,
    sK510: ( real * fun_real_bool ) > real ).

tff(func_def_2157,type,
    sK511: ( real * fun_real_bool ) > real ).

tff(func_def_2158,type,
    sK512: ( fun_real_bool * real ) > real ).

tff(func_def_2159,type,
    sK513: ( fun_real_bool * real ) > real ).

tff(func_def_2160,type,
    sK514: num > num ).

tff(func_def_2161,type,
    sK515: num > num ).

tff(func_def_2162,type,
    sK516: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2163,type,
    sK517: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2164,type,
    sK518: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2165,type,
    sK519: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2166,type,
    sK520: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2167,type,
    sK521: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_2168,type,
    sK522: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_2169,type,
    sK523: vEBT_VEBT > nat ).

tff(func_def_2170,type,
    sK524: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2171,type,
    sK525: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2172,type,
    sK526: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2173,type,
    sK527: vEBT_VEBT > bool ).

tff(func_def_2174,type,
    sK528: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2175,type,
    sK529: vEBT_VEBT > nat ).

tff(func_def_2176,type,
    sK530: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2177,type,
    sK531: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2178,type,
    sK532: vEBT_VEBT > nat ).

tff(func_def_2179,type,
    sK533: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2180,type,
    sK534: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2181,type,
    sK535: vEBT_VEBT > bool ).

tff(func_def_2182,type,
    sK536: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2183,type,
    sK537: vEBT_VEBT > nat ).

tff(func_def_2184,type,
    sK538: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2185,type,
    sK539: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2186,type,
    sK540: vEBT_VEBT > bool ).

tff(func_def_2187,type,
    sK541: vEBT_VEBT > bool ).

tff(func_def_2188,type,
    sK542: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2189,type,
    sK543: vEBT_VEBT > nat ).

tff(func_def_2190,type,
    sK544: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2191,type,
    sK545: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2192,type,
    sK546: vEBT_VEBT > nat ).

tff(func_def_2193,type,
    sK547: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2194,type,
    sK548: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2195,type,
    sK549: vEBT_VEBT > bool ).

tff(func_def_2196,type,
    sK550: vEBT_VEBT > bool ).

tff(func_def_2197,type,
    sK551: vEBT_VEBT > nat ).

tff(func_def_2198,type,
    sK552: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2199,type,
    sK553: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2200,type,
    sK554: ( int * fun_int_bool ) > int ).

tff(func_def_2201,type,
    sK555: fun_int_bool > int ).

tff(func_def_2202,type,
    sK556: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2203,type,
    sK557: ( int * fun_int_bool ) > int ).

tff(func_def_2204,type,
    sK558: ( int * fun_int_bool ) > int ).

tff(func_def_2205,type,
    sK559: fun_int_bool > int ).

tff(func_def_2206,type,
    sK560: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2207,type,
    sK561: ( int * fun_int_bool ) > int ).

tff(func_def_2208,type,
    sK562: ( int * fun_int_bool ) > int ).

tff(func_def_2209,type,
    sK563: ( int * fun_int_bool ) > int ).

tff(func_def_2210,type,
    sK564: ( int * fun_int_bool ) > int ).

tff(func_def_2211,type,
    sK565: ( fun_int_bool * int ) > int ).

tff(func_def_2212,type,
    sK566: ( fun_int_bool * int ) > int ).

tff(func_def_2213,type,
    sK567: ( int * fun_int_bool ) > int ).

tff(func_def_2214,type,
    sK568: ( int * fun_int_bool ) > int ).

tff(func_def_2215,type,
    sK569: ( fun_int_bool * int ) > int ).

tff(func_def_2216,type,
    sK570: ( fun_int_bool * int ) > int ).

tff(func_def_2217,type,
    sK571: ( fun_int_bool * int ) > int ).

tff(func_def_2218,type,
    sK572: ( fun_int_bool * int ) > int ).

tff(func_def_2219,type,
    sK573: ( int * fun_int_bool ) > int ).

tff(func_def_2220,type,
    sK574: ( int * fun_int_bool ) > int ).

tff(func_def_2221,type,
    sK575: ( fun_nat_bool * int ) > nat ).

tff(func_def_2222,type,
    sK576: fun_nat_bool > nat ).

tff(func_def_2223,type,
    sK577: fun_nat_bool > int ).

tff(func_def_2224,type,
    sK578: fun_nat_bool > int ).

tff(func_def_2225,type,
    sK579: fun_nat_bool > nat ).

tff(func_def_2226,type,
    sK580: int > int ).

tff(func_def_2227,type,
    sK581: int > int ).

tff(func_def_2228,type,
    sK582: int > int ).

tff(func_def_2229,type,
    sK583: int > int ).

tff(func_def_2230,type,
    sK584: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2231,type,
    sK585: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2232,type,
    sK586: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2233,type,
    sK587: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2234,type,
    sK588: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2235,type,
    sK589: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2236,type,
    sK590: int > int ).

tff(func_def_2237,type,
    sK591: int > int ).

tff(func_def_2238,type,
    sK592: int > int ).

tff(func_def_2239,type,
    sK593: int > int ).

tff(func_def_2240,type,
    sK594: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2241,type,
    sK595: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2242,type,
    sK596: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2243,type,
    sK597: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2244,type,
    sK598: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2245,type,
    sK599: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2246,type,
    sK600: int > int ).

tff(func_def_2247,type,
    sK601: int > int ).

tff(func_def_2248,type,
    sK602: int > int ).

tff(func_def_2249,type,
    sK603: int > int ).

tff(func_def_2250,type,
    sK604: int > int ).

tff(func_def_2251,type,
    sK605: int > int ).

tff(func_def_2252,type,
    sK606: fun_int_fun_int_bool > int ).

tff(func_def_2253,type,
    sK607: fun_int_fun_int_bool > int ).

tff(func_def_2254,type,
    sK608: fun_int_fun_int_bool > int ).

tff(func_def_2255,type,
    sK609: fun_int_fun_int_bool > int ).

tff(func_def_2256,type,
    sK610: fun_int_fun_int_bool > int ).

tff(func_def_2257,type,
    sK611: fun_nat_int > nat ).

tff(func_def_2258,type,
    sK612: fun_nat_int > nat ).

tff(func_def_2259,type,
    sK613: real > real ).

tff(func_def_2260,type,
    sK614: real > real ).

tff(func_def_2261,type,
    sK615: real > real ).

tff(func_def_2262,type,
    sK616: real > real ).

tff(func_def_2263,type,
    sK617: ( real * real ) > real ).

tff(func_def_2264,type,
    sK618: ( real * real ) > real ).

tff(func_def_2265,type,
    sK619: ( real * real * real ) > real ).

tff(func_def_2266,type,
    sK620: ( real * real * real ) > real ).

tff(func_def_2267,type,
    sK621: fun_real_real > real ).

tff(func_def_2268,type,
    sK622: fun_real_real > real ).

tff(func_def_2269,type,
    sK623: fun_real_real > real ).

tff(func_def_2270,type,
    sK624: fun_real_real > real ).

tff(func_def_2271,type,
    sK625: fun_int_bool > int ).

tff(func_def_2272,type,
    sK626: fun_int_bool > int ).

tff(func_def_2273,type,
    sK627: fun_nat_int > nat ).

tff(func_def_2274,type,
    sK628: fun_nat_int > nat ).

tff(func_def_2275,type,
    sK629: fun_int_fun_int_bool > int ).

tff(func_def_2276,type,
    sK630: fun_int_fun_int_bool > int ).

tff(func_def_2277,type,
    sK631: fun_int_fun_int_bool > int ).

tff(func_def_2278,type,
    sK632: fun_int_fun_int_bool > int ).

tff(func_def_2279,type,
    sK633: ( int * fun_int_bool ) > int ).

tff(func_def_2280,type,
    sK634: ( int * fun_int_bool ) > int ).

tff(func_def_2281,type,
    sK635: ( int * fun_int_bool ) > int ).

tff(func_def_2282,type,
    sK636: fun_int_bool > int ).

tff(func_def_2283,type,
    sK637: fun_int_bool > bool ).

tff(func_def_2284,type,
    sK638: fun_int_bool > int ).

tff(func_def_2285,type,
    sK639: fun_nat_bool > nat ).

tff(func_def_2286,type,
    sK640: fun_nat_bool > bool ).

tff(func_def_2287,type,
    sK641: fun_nat_bool > nat ).

tff(func_def_2288,type,
    sK642: int > int ).

tff(func_def_2289,type,
    sK643: int > int ).

tff(func_def_2290,type,
    sK644: ( int * int ) > int ).

tff(func_def_2291,type,
    sK645: ( int * int ) > int ).

tff(func_def_2292,type,
    sK646: ( fun_int_bool * int ) > int ).

tff(func_def_2293,type,
    sK647: ( fun_int_bool * int ) > int ).

tff(func_def_2294,type,
    sK648: ( int * int ) > int ).

tff(func_def_2295,type,
    sK649: ( int * int ) > int ).

tff(func_def_2296,type,
    sK650: ( int * int ) > int ).

tff(func_def_2297,type,
    sK651: ( int * int ) > int ).

tff(func_def_2298,type,
    sK652: ( int * int * int ) > int ).

tff(func_def_2299,type,
    sK653: ( int * int * int ) > int ).

tff(func_def_2300,type,
    sK654: ( int * int * int ) > int ).

tff(func_def_2301,type,
    sK655: ( int * int * int ) > int ).

tff(func_def_2302,type,
    sK656: ( int * int ) > int ).

tff(func_def_2303,type,
    sK657: ( int * int ) > int ).

tff(func_def_2304,type,
    sK658: int > nat ).

tff(func_def_2305,type,
    sK659: int > nat ).

tff(func_def_2306,type,
    sK660: int > nat ).

tff(func_def_2307,type,
    sK661: int > nat ).

tff(func_def_2308,type,
    sK662: int > nat ).

tff(func_def_2309,type,
    sK663: int > nat ).

tff(func_def_2310,type,
    sK664: int > nat ).

tff(func_def_2311,type,
    sK665: ( int * int ) > nat ).

tff(func_def_2312,type,
    sK666: int > nat ).

tff(func_def_2313,type,
    sK667: int > nat ).

tff(func_def_2314,type,
    sK668: ( int * int ) > nat ).

tff(func_def_2315,type,
    sK669: int > nat ).

tff(func_def_2316,type,
    sK670: int > nat ).

tff(func_def_2317,type,
    sK671: int > nat ).

tff(func_def_2318,type,
    sK672: int > nat ).

tff(func_def_2319,type,
    sK673: fun_int_bool > nat ).

tff(func_def_2320,type,
    sK674: fun_int_bool > nat ).

tff(func_def_2321,type,
    sK675: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2322,type,
    sK676: ( nat * fun_nat_int ) > nat ).

tff(func_def_2323,type,
    sK677: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2324,type,
    sK678: ( nat * fun_nat_int ) > nat ).

tff(func_def_2325,type,
    sK679: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_2326,type,
    sK680: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2327,type,
    sK681: fun_int_fun_int_bool > int ).

tff(func_def_2328,type,
    sK682: ( fun_int_bool * int * int ) > int ).

tff(func_def_2329,type,
    sK683: ( fun_int_bool * int * int ) > int ).

tff(func_def_2330,type,
    sK684: ( fun_int_bool * int * int ) > int ).

tff(func_def_2331,type,
    sK685: ( fun_int_bool * int * int ) > int ).

tff(func_def_2332,type,
    sK686: ( int * int ) > int ).

tff(func_def_2333,type,
    sK687: ( int * int ) > int ).

tff(func_def_2334,type,
    sK688: ( fun_int_bool * int * int ) > int ).

tff(func_def_2335,type,
    sK689: ( fun_int_bool * int * int ) > int ).

tff(func_def_2336,type,
    sK690: ( fun_int_bool * int * int ) > int ).

tff(func_def_2337,type,
    sK691: ( fun_int_bool * int * int ) > int ).

tff(func_def_2338,type,
    sK692: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2339,type,
    sK693: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2340,type,
    sK694: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2341,type,
    sK695: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2342,type,
    sK696: ( int * int * int ) > int ).

tff(func_def_2343,type,
    sK697: ( nat * fun_nat_nat * nat ) > nat ).

tff(func_def_2344,type,
    sK698: ( set_nat * fun_nat_nat * nat ) > nat ).

tff(func_def_2345,type,
    sK699: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_2346,type,
    sK700: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_2347,type,
    sK701: ( set_nat * fun_nat_nat * nat ) > nat ).

tff(func_def_2348,type,
    sK702: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_2349,type,
    sK703: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_2350,type,
    sK704: set_nat > nat ).

tff(func_def_2351,type,
    sK705: ( set_nat * nat ) > nat ).

tff(func_def_2352,type,
    sK706: set_nat > nat ).

tff(func_def_2353,type,
    sK707: ( set_nat * nat ) > nat ).

tff(func_def_2354,type,
    sK708: ( nat * set_nat ) > nat ).

tff(func_def_2355,type,
    sK709: ( set_nat * nat ) > nat ).

tff(func_def_2356,type,
    sK710: set_nat > nat ).

tff(func_def_2357,type,
    sK711: ( set_nat * nat ) > nat ).

tff(func_def_2358,type,
    sK712: ( set_nat * nat ) > nat ).

tff(func_def_2359,type,
    sK713: set_nat > nat ).

tff(func_def_2360,type,
    sK714: ( set_nat * nat ) > nat ).

tff(func_def_2361,type,
    sK715: ( set_nat * nat ) > nat ).

tff(func_def_2362,type,
    sK716: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2363,type,
    sK717: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2364,type,
    sK718: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2365,type,
    sK719: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2366,type,
    sK720: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2367,type,
    sK721: ( nat * fun_nat_real * real ) > nat ).

tff(func_def_2368,type,
    sK722: rat > nat ).

tff(func_def_2369,type,
    sK723: rat > nat ).

tff(func_def_2370,type,
    sK724: ( rat * rat ) > nat ).

tff(func_def_2371,type,
    sK725: rat > nat ).

tff(func_def_2372,type,
    sK726: fun_rat_rat > rat ).

tff(func_def_2373,type,
    sK727: fun_rat_rat > rat ).

tff(func_def_2374,type,
    sK728: fun_rat_rat > rat ).

tff(func_def_2375,type,
    sK729: fun_rat_rat > rat ).

tff(func_def_2376,type,
    sK730: fun_rat_rat > rat ).

tff(func_def_2377,type,
    sK731: fun_rat_rat > rat ).

tff(func_def_2378,type,
    sK732: fun_rat_rat > rat ).

tff(func_def_2379,type,
    sK733: fun_rat_rat > rat ).

tff(func_def_2380,type,
    sK734: fun_rat_fun_rat_bool > rat ).

tff(func_def_2381,type,
    sK735: fun_rat_fun_rat_bool > rat ).

tff(func_def_2382,type,
    sK736: fun_rat_fun_rat_bool > rat ).

tff(func_def_2383,type,
    sK737: fun_rat_fun_rat_bool > rat ).

tff(func_def_2384,type,
    sK738: fun_nat_rat > nat ).

tff(func_def_2385,type,
    sK739: fun_nat_rat > nat ).

tff(func_def_2386,type,
    sK740: fun_nat_rat > nat ).

tff(func_def_2387,type,
    sK741: fun_nat_rat > nat ).

tff(func_def_2388,type,
    sK742: fun_nat_rat > nat ).

tff(func_def_2389,type,
    sK743: fun_nat_rat > nat ).

tff(func_def_2390,type,
    sK744: fun_nat_rat > nat ).

tff(func_def_2391,type,
    sK745: fun_nat_rat > nat ).

tff(func_def_2392,type,
    sK746: fun_nat_rat > nat ).

tff(func_def_2393,type,
    sK747: fun_nat_rat > nat ).

tff(func_def_2394,type,
    sK748: fun_nat_rat > nat ).

tff(func_def_2395,type,
    sK749: fun_nat_rat > nat ).

tff(func_def_2396,type,
    sK750: fun_nat_rat > nat ).

tff(func_def_2397,type,
    sK751: fun_nat_rat > nat ).

tff(func_def_2398,type,
    sK752: fun_nat_rat > nat ).

tff(func_def_2399,type,
    sK753: fun_nat_rat > nat ).

tff(func_def_2400,type,
    sK754: fun_nat_rat > nat ).

tff(func_def_2401,type,
    sK755: fun_nat_rat > nat ).

tff(func_def_2402,type,
    sK756: rat > rat ).

tff(func_def_2403,type,
    sK757: rat > rat ).

tff(func_def_2404,type,
    sK758: rat > rat ).

tff(func_def_2405,type,
    sK759: rat > rat ).

tff(func_def_2406,type,
    sK760: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2407,type,
    sK761: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2408,type,
    sK762: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2409,type,
    sK763: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2410,type,
    sK764: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2411,type,
    sK765: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2412,type,
    sK766: rat > rat ).

tff(func_def_2413,type,
    sK767: rat > rat ).

tff(func_def_2414,type,
    sK768: rat > rat ).

tff(func_def_2415,type,
    sK769: rat > rat ).

tff(func_def_2416,type,
    sK770: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2417,type,
    sK771: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2418,type,
    sK772: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2419,type,
    sK773: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2420,type,
    sK774: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2421,type,
    sK775: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2422,type,
    sK776: rat > rat ).

tff(func_def_2423,type,
    sK777: rat > rat ).

tff(func_def_2424,type,
    sK778: rat > rat ).

tff(func_def_2425,type,
    sK779: rat > rat ).

tff(func_def_2426,type,
    sK780: ( rat * rat ) > rat ).

tff(func_def_2427,type,
    sK781: ( rat * rat ) > rat ).

tff(func_def_2428,type,
    sK782: ( rat * rat ) > rat ).

tff(func_def_2429,type,
    sK783: ( rat * rat * rat ) > rat ).

tff(func_def_2430,type,
    sK784: ( rat * rat * rat ) > rat ).

tff(func_def_2431,type,
    sK785: fun_rat_rat > rat ).

tff(func_def_2432,type,
    sK786: fun_rat_rat > rat ).

tff(func_def_2433,type,
    sK787: fun_rat_rat > rat ).

tff(func_def_2434,type,
    sK788: fun_rat_rat > rat ).

tff(func_def_2435,type,
    sK789: fun_rat_rat > rat ).

tff(func_def_2436,type,
    sK790: fun_rat_rat > rat ).

tff(func_def_2437,type,
    sK791: fun_rat_rat > rat ).

tff(func_def_2438,type,
    sK792: fun_rat_rat > rat ).

tff(func_def_2439,type,
    sK793: rat > rat ).

tff(func_def_2440,type,
    sK794: rat > rat ).

tff(func_def_2441,type,
    sK795: ( rat * rat ) > rat ).

tff(func_def_2442,type,
    sK796: fun_rat_fun_rat_bool > rat ).

tff(func_def_2443,type,
    sK797: fun_rat_fun_rat_bool > rat ).

tff(func_def_2444,type,
    sK798: fun_rat_fun_rat_bool > rat ).

tff(func_def_2445,type,
    sK799: fun_rat_fun_rat_bool > rat ).

tff(func_def_2446,type,
    sK800: fun_rat_fun_rat_bool > rat ).

tff(func_def_2447,type,
    sK801: fun_rat_rat > rat ).

tff(func_def_2448,type,
    sK802: fun_rat_rat > rat ).

tff(func_def_2449,type,
    sK803: fun_rat_rat > rat ).

tff(func_def_2450,type,
    sK804: fun_rat_rat > rat ).

tff(func_def_2451,type,
    sK805: fun_rat_rat > rat ).

tff(func_def_2452,type,
    sK806: fun_rat_rat > rat ).

tff(func_def_2453,type,
    sK807: fun_rat_rat > rat ).

tff(func_def_2454,type,
    sK808: fun_rat_rat > rat ).

tff(func_def_2455,type,
    sK809: rat > rat ).

tff(func_def_2456,type,
    sK810: rat > rat ).

tff(func_def_2457,type,
    sK811: ( rat * rat ) > rat ).

tff(func_def_2458,type,
    sK812: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2459,type,
    sK813: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2460,type,
    sK814: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2461,type,
    sK815: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2462,type,
    sK816: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2463,type,
    sK817: ( rat * fun_rat_bool ) > rat ).

tff(func_def_2464,type,
    sK818: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2465,type,
    sK819: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2466,type,
    sK820: rat > rat ).

tff(func_def_2467,type,
    sK821: rat > rat ).

tff(func_def_2468,type,
    sK822: ( rat * rat ) > rat ).

tff(pred_def_1,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_2,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_3,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_4,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_5,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_6,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_7,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_8,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_9,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_10,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_11,type,
    finite_finite_bool: set_bool > $o ).

tff(pred_def_12,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_13,type,
    finite7866827932528546246t_bool: set_list_bool > $o ).

tff(pred_def_14,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_15,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_16,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_17,type,
    finite_finite_num: set_num > $o ).

tff(pred_def_18,type,
    finite_finite_rat: set_rat > $o ).

tff(pred_def_19,type,
    finite_finite_real: set_real > $o ).

tff(pred_def_20,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_21,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_22,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_23,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_24,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_25,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_26,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_27,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_28,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_29,type,
    ord_le7866589430770878221at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_30,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_31,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_32,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_33,type,
    ord_le3776645642988763374x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_34,type,
    ord_le3716944864119727344t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_35,type,
    ord_le6841235830588351564t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_36,type,
    ord_le7519368973566061808l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_37,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_38,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_39,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_40,type,
    ord_less_eq_set_bool: ( set_bool * set_bool ) > $o ).

tff(pred_def_41,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_42,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_43,type,
    ord_le5008643164228425349r_bool: ( set_Pr9123050470547338789r_bool * set_Pr9123050470547338789r_bool ) > $o ).

tff(pred_def_44,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_45,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_46,type,
    ord_le8085105155179020875at_num: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_47,type,
    ord_le880128212290418581um_num: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_48,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_49,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_50,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_51,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_52,type,
    ord_le3056413707720749373l_bool: ( fun_Co3748208068438171869l_bool * fun_Co3748208068438171869l_bool ) > $o ).

tff(pred_def_53,type,
    ord_le4633831435867229666x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_54,type,
    ord_le5715760110363009508t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_55,type,
    ord_le4546832483993983377t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_56,type,
    ord_le8840051076831633728t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_57,type,
    ord_le4899916226251588169t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_58,type,
    ord_le8094096262961209215m_bool: ( fun_nat_fun_num_bool * fun_nat_fun_num_bool ) > $o ).

tff(pred_def_59,type,
    ord_le2278887450727035829m_bool: ( fun_num_fun_num_bool * fun_num_fun_num_bool ) > $o ).

tff(pred_def_60,type,
    ord_le4737936599360737601t_bool: ( fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_61,type,
    ord_le4938826557741544013t_bool: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > $o ).

tff(pred_def_62,type,
    ord_le2087689725136068685t_bool: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_63,type,
    ord_le998981803562422117m_bool: ( fun_Pr6287530515171585797m_bool * fun_Pr6287530515171585797m_bool ) > $o ).

tff(pred_def_64,type,
    ord_le7676714441581034317m_bool: ( fun_Pr5837708615769641901m_bool * fun_Pr5837708615769641901m_bool ) > $o ).

tff(pred_def_65,type,
    ord_le7893316316344127773t_bool: ( fun_Pr2834072668759824765t_bool * fun_Pr2834072668759824765t_bool ) > $o ).

tff(pred_def_66,type,
    ord_le5934820504122867843t_bool: ( fun_Pr817965127378462947t_bool * fun_Pr817965127378462947t_bool ) > $o ).

tff(pred_def_67,type,
    ord_le5573776112191778788l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_68,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_69,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_70,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_71,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_72,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_73,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_74,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_75,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_76,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_77,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_78,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_79,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_80,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_81,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_82,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_83,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_84,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_85,type,
    topolo3100542954746470799et_int: fun_nat_set_int > $o ).

tff(pred_def_86,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_87,type,
    accp_P4694664897847628410at_nat: ( fun_Pr4617804334418790189t_bool * produc9217583074051984497at_nat ) > $o ).

tff(pred_def_88,type,
    accp_P5526603486790338531on_nat: ( fun_Pr4582292742318232305t_bool * produc7004362771917097900on_nat ) > $o ).

tff(pred_def_89,type,
    accp_P3591886921626383704at_num: ( fun_Pr7353992663003996845m_bool * produc8114805097830739791at_num ) > $o ).

tff(pred_def_90,type,
    accp_P1225658569124232473on_num: ( fun_Pr205781412008949125m_bool * produc2703417854250991842on_num ) > $o ).

tff(pred_def_91,type,
    accp_P4760198183577772864at_nat: ( fun_Pr8292650585710461613t_bool * produc1260151622200656695at_nat ) > $o ).

tff(pred_def_92,type,
    member_bool: ( bool * set_bool ) > $o ).

tff(pred_def_93,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_94,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_95,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_96,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_97,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_98,type,
    member7941544277139469958r_bool: ( produc7417142470700560111r_bool * set_Pr9123050470547338789r_bool ) > $o ).

tff(pred_def_99,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_100,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_101,type,
    member9148766508732265716at_num: ( product_prod_nat_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_102,type,
    member7279096912039735102um_num: ( product_prod_num_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_103,type,
    member351165363924911826omplex: ( produc8064648209034914857omplex * set_Pr6308028481084910985omplex ) > $o ).

tff(pred_def_104,type,
    member2572552093476627150et_int: ( produc2115011035271226405et_int * set_Pr2522554150109002629et_int ) > $o ).

tff(pred_def_105,type,
    member8277197624267554838et_nat: ( produc7819656566062154093et_nat * set_Pr5488025237498180813et_nat ) > $o ).

tff(pred_def_106,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_107,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_108,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_109,type,
    pp: bool > $o ).

tff(pred_def_110,type,
    sP0: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_111,type,
    sP1: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_112,type,
    sP2: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_113,type,
    sP3: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_114,type,
    sP4: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_115,type,
    sP5: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_116,type,
    sP6: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_117,type,
    sP7: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_118,type,
    sP8: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_119,type,
    sP9: ( nat * nat * nat ) > $o ).

tff(pred_def_120,type,
    sP10: ( nat * nat * nat ) > $o ).

tff(pred_def_121,type,
    sP11: ( nat * nat * nat ) > $o ).

tff(pred_def_122,type,
    sP12: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_123,type,
    sP13: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_124,type,
    sP14: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_125,type,
    sP15: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_126,type,
    sP16: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_127,type,
    sP17: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_128,type,
    sP18: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_129,type,
    sP19: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_130,type,
    sP20: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_131,type,
    sP21: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_132,type,
    sP22: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_133,type,
    sP23: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_134,type,
    sP24: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_135,type,
    sP25: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_136,type,
    sP26: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_137,type,
    sP27: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_138,type,
    sP28: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_139,type,
    sP29: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_140,type,
    sP30: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_141,type,
    sP31: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_142,type,
    sP32: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_143,type,
    sP33: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_144,type,
    sP34: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_145,type,
    sP35: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_146,type,
    sP36: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > $o ).

tff(pred_def_147,type,
    sP37: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_148,type,
    sP38: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_149,type,
    sP39: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_150,type,
    sP40: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_151,type,
    sP41: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_152,type,
    sP42: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_153,type,
    sP43: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_154,type,
    sP44: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_155,type,
    sP45: ( real * real * real ) > $o ).

tff(pred_def_156,type,
    sP46: ( real * real * real ) > $o ).

tff(pred_def_157,type,
    sP47: ( real * real * real ) > $o ).

tff(pred_def_158,type,
    sP48: ( real * real * real ) > $o ).

tff(pred_def_159,type,
    sP49: ( fun_re1255401033344146673l_bool * real * real ) > $o ).

tff(pred_def_160,type,
    sP50: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_161,type,
    sP51: ( real * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_162,type,
    sP52: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_163,type,
    sP53: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_164,type,
    sP54: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_165,type,
    sP55: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_166,type,
    sP56: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_167,type,
    sP57: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_168,type,
    sP58: ( fun_int_bool * int ) > $o ).

tff(pred_def_169,type,
    sP59: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_170,type,
    sP60: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_171,type,
    sP61: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_172,type,
    sP62: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_173,type,
    sP63: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_174,type,
    sP64: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_175,type,
    sP65: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_176,type,
    sP66: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_177,type,
    sP67: fun_int_bool > $o ).

tff(pred_def_178,type,
    sP68: ( real * real * num ) > $o ).

tff(pred_def_179,type,
    sP69: ( real * num * real ) > $o ).

tff(pred_def_180,type,
    sP70: ( real * real * num ) > $o ).

tff(pred_def_181,type,
    sP71: ( real * num * real ) > $o ).

tff(pred_def_182,type,
    sP72: ( real * real * real ) > $o ).

tff(pred_def_183,type,
    sP73: ( real * real * real ) > $o ).

tff(pred_def_184,type,
    sP74: ( real * real * real ) > $o ).

tff(pred_def_185,type,
    sP75: ( real * real * real ) > $o ).

tff(pred_def_186,type,
    sP76: ( int * bool * int * bool ) > $o ).

tff(pred_def_187,type,
    sP77: ( bool * int * bool * int ) > $o ).

tff(pred_def_188,type,
    sP78: ( int * int * int ) > $o ).

tff(pred_def_189,type,
    sP79: ( int * int * int ) > $o ).

tff(pred_def_190,type,
    sP80: ( int * int * int ) > $o ).

tff(pred_def_191,type,
    sP81: ( real * num * real ) > $o ).

tff(pred_def_192,type,
    sP82: ( real * real * num ) > $o ).

tff(pred_def_193,type,
    sP83: ( real * num * real ) > $o ).

tff(pred_def_194,type,
    sP84: ( real * real * num ) > $o ).

tff(pred_def_195,type,
    sP85: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_196,type,
    sP86: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_197,type,
    sP87: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_198,type,
    sP88: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_199,type,
    sP89: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_200,type,
    sP90: ( rat * rat * rat ) > $o ).

tff(pred_def_201,type,
    sP91: ( rat * rat * rat ) > $o ).

tff(pred_def_202,type,
    sP92: ( rat * rat * rat ) > $o ).

tff(pred_def_203,type,
    sP93: ( rat * rat * rat ) > $o ).

tff(pred_def_204,type,
    sP94: ( rat * rat * rat ) > $o ).

tff(pred_def_205,type,
    sP95: ( rat * rat * rat ) > $o ).

tff(pred_def_206,type,
    sP96: ( rat * rat * rat ) > $o ).

tff(pred_def_207,type,
    sP97: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_208,type,
    sP98: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_209,type,
    sP99: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_210,type,
    sP100: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_211,type,
    sP101: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_212,type,
    sP102: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_213,type,
    sP103: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_214,type,
    sP104: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_215,type,
    sP105: ( rat * rat * num ) > $o ).

tff(pred_def_216,type,
    sP106: ( rat * num * rat ) > $o ).

tff(pred_def_217,type,
    sP107: ( rat * rat * num ) > $o ).

tff(pred_def_218,type,
    sP108: ( rat * num * rat ) > $o ).

tff(pred_def_219,type,
    sP109: ( rat * num * rat ) > $o ).

tff(pred_def_220,type,
    sP110: ( rat * rat * num ) > $o ).

tff(pred_def_221,type,
    sP111: ( rat * num * rat ) > $o ).

tff(pred_def_222,type,
    sP112: ( rat * rat * num ) > $o ).

tff(pred_def_223,type,
    sP113: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_224,type,
    sP114: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_225,type,
    sP115: ( rat * rat * rat ) > $o ).

tff(pred_def_226,type,
    sP116: ( rat * rat * rat ) > $o ).

tff(pred_def_227,type,
    sP117: ( rat * rat * rat ) > $o ).

tff(pred_def_228,type,
    sP118: ( rat * rat * rat ) > $o ).

tff(f6,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f7,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),size_s6755466524823107622T_VEBT(treeList))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).

tff(f8,axiom,
    nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)) = vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_hprolist) ).

tff(f9,axiom,
    size_s6755466524823107622T_VEBT(treeList) = size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062length_AtreeList_A_061_Alength_A_ItreeList_091high_Ax_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_Ax_An_J_A_Ilow_Ax_An_J_093_J_092_060close_062) ).

tff(f28,axiom,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: vEBT_VEBT] :
      ( ( X0 != X1 )
     => ( nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(X2,X0,X3),X1) = nth_VEBT_VEBT(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_nth__list__update__neq) ).

tff(f45,axiom,
    ! [X0: vEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList)))
     => ( pp(aa_nat_bool(vEBT_invar_vebt(X0),na))
        & ! [X1: nat,X2: nat] :
            ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
          <=> ( ( X1 != X2 )
              & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44__C5_OIH_C_I1_J) ).

tff(f61,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_dp) ).

tff(f120,axiom,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1)))
    <=> ? [X2: nat] :
          ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
          & ( nth_VEBT_VEBT(X1,X2) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_in__set__conv__nth) ).

tff(f182,axiom,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat,X4: nat,X5: vEBT_VEBT] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2)))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
       => ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
         => pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_both__member__options__from__chilf__to__complete__tree) ).

tff(f253,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_one__add__one) ).

tff(f669,axiom,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
    <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(suc,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_668_not__less__eq) ).

tff(f691,axiom,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
    <=> ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
        & ( X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_690_nat__less__le) ).

tff(f887,axiom,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_886_Suc__eq__plus1__left) ).

tff(f2029,axiom,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
    <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2028_linorder__not__less) ).

tff(f2859,axiom,
    zero_zero_nat != one_one_nat,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2858_zero__neq__one) ).

tff(f4994,axiom,
    ! [X0: bool] :
      ( ( zero_n2687167440665602831ol_nat(X0) = one_one_nat )
    <=> pp(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4993_of__bool__eq__1__iff) ).

tff(f5508,axiom,
    ! [X0: bool] :
      ( ( pp(X0)
       => ( zero_n2687167440665602831ol_nat(X0) = one_one_nat ) )
      & ( ~ pp(X0)
       => ( zero_n2687167440665602831ol_nat(X0) = zero_zero_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5507_of__bool__def) ).

tff(f10831,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

tff(f10838,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f10881,axiom,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ( X0 = fFalse ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f10887,axiom,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10888,conjecture,
    ( ( xa != ya )
    & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f10889,negated_conjecture,
    ~ ( ( xa != ya )
      & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya)) ),
    inference(negated_conjecture,[status(cth)],[f10888]) ).

tff(f10957,plain,
    ( ( xa = ya )
    | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya)) ),
    inference(ennf_transformation,[],[f10889]) ).

tff(f10964,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: vEBT_VEBT] :
      ( ( nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(X2,X0,X3),X1) = nth_VEBT_VEBT(X2,X1) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f28]) ).

tff(f11079,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat,X4: nat,X5: vEBT_VEBT] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2))) ),
    inference(ennf_transformation,[],[f182]) ).

tff(f11080,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat,X4: nat,X5: vEBT_VEBT] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2))) ),
    inference(flattening,[],[f11079]) ).

tff(f11094,plain,
    ! [X0: vEBT_VEBT] :
      ( ( pp(aa_nat_bool(vEBT_invar_vebt(X0),na))
        & ! [X1: nat,X2: nat] :
            ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
          <=> ( ( X1 != X2 )
              & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) ) ) )
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(ennf_transformation,[],[f45]) ).

tff(f12972,plain,
    ! [X0: bool] :
      ( ( ( zero_n2687167440665602831ol_nat(X0) = one_one_nat )
        | ~ pp(X0) )
      & ( ( zero_n2687167440665602831ol_nat(X0) = zero_zero_nat )
        | pp(X0) ) ),
    inference(ennf_transformation,[],[f5508]) ).

tff(f14318,plain,
    ! [X0: vEBT_VEBT] :
      ( ( pp(aa_nat_bool(vEBT_invar_vebt(X0),na))
        & ! [X1: nat,X2: nat] :
            ( ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
              | ( X1 = X2 )
              | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) )
            & ( ( ( X1 != X2 )
                & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) )
              | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2)) ) ) )
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(nnf_transformation,[],[f11094]) ).

tff(f14319,plain,
    ! [X0: vEBT_VEBT] :
      ( ( pp(aa_nat_bool(vEBT_invar_vebt(X0),na))
        & ! [X1: nat,X2: nat] :
            ( ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
              | ( X1 = X2 )
              | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) )
            & ( ( ( X1 != X2 )
                & pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2)) )
              | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2)) ) ) )
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(flattening,[],[f14318]) ).

tff(f14368,plain,
    ! [X0: nat,X1: nat] :
      ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0)) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ) ),
    inference(nnf_transformation,[],[f2029]) ).

tff(f14389,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
        | ( X0 = X1 ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
          & ( X0 != X1 ) )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ) ),
    inference(nnf_transformation,[],[f691]) ).

tff(f14390,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
        | ( X0 = X1 ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
          & ( X0 != X1 ) )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ) ),
    inference(flattening,[],[f14389]) ).

tff(f14457,plain,
    ! [X0: nat,X1: nat] :
      ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(suc,X0))) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(suc,X0)))
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ) ),
    inference(nnf_transformation,[],[f669]) ).

tff(f14793,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1)))
        | ! [X2: nat] :
            ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ? [X2: nat] :
            ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
            & ( nth_VEBT_VEBT(X1,X2) = X0 ) )
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1))) ) ),
    inference(nnf_transformation,[],[f120]) ).

tff(f14794,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1)))
        | ! [X2: nat] :
            ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ? [X3: nat] :
            ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),size_s6755466524823107622T_VEBT(X1)))
            & ( nth_VEBT_VEBT(X1,X3) = X0 ) )
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1))) ) ),
    inference(rectify,[],[f14793]) ).

tff(f14795,plain,
    ! [X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1)))
        | ! [X2: nat] :
            ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
            | ( nth_VEBT_VEBT(X1,X2) != X0 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK403(X0,X1)),size_s6755466524823107622T_VEBT(X1)))
          & ( nth_VEBT_VEBT(X1,sK403(X0,X1)) = X0 ) )
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK403]),skolemize(X3,sK403(X0,X1))],[f14794]) ).

tff(f15883,plain,
    ! [X0: bool] :
      ( ( ( zero_n2687167440665602831ol_nat(X0) = one_one_nat )
        | ~ pp(X0) )
      & ( pp(X0)
        | ( one_one_nat != zero_n2687167440665602831ol_nat(X0) ) ) ),
    inference(nnf_transformation,[],[f4994]) ).

tff(f16771,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))))),
    inference(cnf_transformation,[],[f10887]) ).

tff(f16772,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
    inference(cnf_transformation,[],[f10887]) ).

tff(f16773,plain,
    ( ( xa = ya )
    | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya)) ),
    inference(cnf_transformation,[],[f10957]) ).

tff(f16783,plain,
    ! [X2: list_VEBT_VEBT,X3: vEBT_VEBT,X0: nat,X1: nat] :
      ( ( nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(X2,X0,X3),X1) = nth_VEBT_VEBT(X2,X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f10964]) ).

tff(f17020,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat,X4: nat,X5: vEBT_VEBT] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2))) ),
    inference(cnf_transformation,[],[f11080]) ).

tff(f17037,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    inference(cnf_transformation,[],[f61]) ).

tff(f17040,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    inference(cnf_transformation,[],[f6]) ).

tff(f17041,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X0),X2))
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(cnf_transformation,[],[f14319]) ).

tff(f17042,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( ( X1 != X2 )
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X1)),X2))
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(cnf_transformation,[],[f14319]) ).

tff(f17046,plain,
    size_s6755466524823107622T_VEBT(treeList) = size_s6755466524823107622T_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))),
    inference(cnf_transformation,[],[f9]) ).

tff(f17047,plain,
    vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)) = nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),
    inference(cnf_transformation,[],[f8]) ).

tff(f17048,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),size_s6755466524823107622T_VEBT(treeList))),
    inference(cnf_transformation,[],[f7]) ).

tff(f17175,plain,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ),
    inference(cnf_transformation,[],[f14368]) ).

tff(f17238,plain,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) ),
    inference(cnf_transformation,[],[f14390]) ).

tff(f17369,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(suc,X0)))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X1)) ),
    inference(cnf_transformation,[],[f14457]) ).

tff(f17859,plain,
    one_one_nat != zero_zero_nat,
    inference(cnf_transformation,[],[f2859]) ).

tff(f17875,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
    inference(cnf_transformation,[],[f887]) ).

tff(f17893,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),
    inference(cnf_transformation,[],[f253]) ).

tff(f18451,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: list_VEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1)))
      | ( nth_VEBT_VEBT(X1,X2) != X0 ) ),
    inference(cnf_transformation,[],[f14795]) ).

tff(f19924,plain,
    ! [X0: bool] :
      ( ( fTrue = X0 )
      | ( fFalse = X0 ) ),
    inference(cnf_transformation,[],[f10881]) ).

tff(f19925,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f10831]) ).

tff(f19946,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f10838]) ).

tff(f21626,plain,
    ! [X0: bool] :
      ( pp(X0)
      | ( zero_zero_nat = zero_n2687167440665602831ol_nat(X0) ) ),
    inference(cnf_transformation,[],[f12972]) ).

tff(f21643,plain,
    ! [X0: bool] :
      ( ~ pp(X0)
      | ( one_one_nat = zero_n2687167440665602831ol_nat(X0) ) ),
    inference(cnf_transformation,[],[f15883]) ).

tff(f24424,plain,
    ! [X2: nat,X0: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(X0,X2)),X2))
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) ),
    inference(equality_resolution,[],[f17042]) ).

tff(f24678,plain,
    ! [X2: nat,X1: list_VEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(X1,X2)),set_VEBT_VEBT2(X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_s6755466524823107622T_VEBT(X1))) ),
    inference(equality_resolution,[],[f18451]) ).

tff(f26242,definition,
    ( spl823_7
  <=> pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya)) ),
    introduced(definition,[new_symbols(definition,[spl823_7])],[avatar_definition]) ).

tff(f26243,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya))
    | spl823_7 ),
    inference(avatar_component_clause,[],[f26242]) ).

tff(f26247,definition,
    ( spl823_8
  <=> ( xa = ya ) ),
    introduced(definition,[new_symbols(definition,[spl823_8])],[avatar_definition]) ).

tff(f26248,plain,
    ( ( xa = ya )
    | ~ spl823_8 ),
    inference(avatar_component_clause,[],[f26247]) ).

tff(f26270,plain,
    na = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),
    inference(forward_demodulation,[],[f17040,f17893]) ).

tff(f26273,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),deg)),
    inference(forward_demodulation,[],[f17037,f17893]) ).

tff(f26287,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat,X4: nat,X5: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2))) ),
    inference(forward_demodulation,[],[f17020,f17893]) ).

tff(f26307,plain,
    ( ~ spl823_7
    | spl823_8 ),
    inference(avatar_split_clause,[],[f16773,f26247,f26242]) ).

tff(f26308,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),
    inference(forward_demodulation,[],[f16771,f17046]) ).

tff(f26309,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),
    inference(forward_demodulation,[],[f16772,f17893]) ).

tff(f26578,plain,
    na = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)),
    inference(forward_demodulation,[],[f26270,f17875]) ).

tff(f26581,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(suc,one_one_nat)),deg)),
    inference(forward_demodulation,[],[f26273,f17875]) ).

tff(f26595,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat,X4: nat,X5: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat)))))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X2))) ),
    inference(forward_demodulation,[],[f26287,f17875]) ).

tff(f26606,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
    inference(forward_demodulation,[],[f26308,f17893]) ).

tff(f26607,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),
    inference(forward_demodulation,[],[f26309,f17875]) ).

tff(f26728,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat,X4: nat,X5: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),size_s6755466524823107622T_VEBT(X2)))
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat)))))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1)) ),
    inference(forward_demodulation,[],[f26595,f17893]) ).

tff(f26730,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
    inference(forward_demodulation,[],[f26606,f17875]) ).

tff(f26731,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na))),
    inference(forward_demodulation,[],[f26607,f26578]) ).

tff(f26808,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat,X4: nat,X5: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat)))))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X0),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X1),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(X2)))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X1,X2,X5)),X0))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),X1)) ),
    inference(forward_demodulation,[],[f26728,f17875]) ).

tff(f26810,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na)),size_s6755466524823107622T_VEBT(treeList))),
    inference(forward_demodulation,[],[f26730,f26578]) ).

tff(f26842,definition,
    ( spl823_12
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na)),size_s6755466524823107622T_VEBT(treeList))) ),
    introduced(definition,[new_symbols(definition,[spl823_12])],[avatar_definition]) ).

tff(f26844,plain,
    ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na)),size_s6755466524823107622T_VEBT(treeList)))
    | ~ spl823_12 ),
    inference(avatar_component_clause,[],[f26842]) ).

tff(f26848,plain,
    spl823_12,
    inference(avatar_split_clause,[],[f26810,f26842]) ).

tff(f26888,plain,
    ( ~ pp(fTrue)
    | ( aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya) = fFalse )
    | spl823_7 ),
    inference(superposition,[],[f26243,f19924]) ).

tff(f26906,plain,
    ( ( aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ya) = fFalse )
    | spl823_7 ),
    inference(forward_subsumption_resolution,[],[f26888,f19925]) ).

tff(f26978,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na) ) ),
    inference(superposition,[],[f26731,f16783]) ).

tff(f26985,definition,
    ( spl823_17
  <=> pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na))) ),
    introduced(definition,[new_symbols(definition,[spl823_17])],[avatar_definition]) ).

tff(f26986,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | spl823_17 ),
    inference(avatar_component_clause,[],[f26985]) ).

tff(f26987,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | ~ spl823_17 ),
    inference(avatar_component_clause,[],[f26985]) ).

tff(f27434,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,deg),aa_nat_nat(suc,one_one_nat))),
    inference(resolution,[],[f17175,f26581]) ).

tff(f27600,plain,
    ! [X0: list_VEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),size_s6755466524823107622T_VEBT(X0)))
      | ( one_one_nat = zero_n2687167440665602831ol_nat(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(X0,X1)),set_VEBT_VEBT2(X0))) ) ),
    inference(resolution,[],[f21643,f24678]) ).

tff(f28514,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),na)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na)),size_s6755466524823107622T_VEBT(X0)))
      | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X2),X3)),deg,X0,X4)),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),deg)) ),
    inference(superposition,[],[f26808,f26578]) ).

tff(f28524,definition,
    ( spl823_51
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),deg)) ),
    introduced(definition,[new_symbols(definition,[spl823_51])],[avatar_definition]) ).

tff(f28526,plain,
    ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),deg))
    | spl823_51 ),
    inference(avatar_component_clause,[],[f28524]) ).

tff(f28528,definition,
    ( spl823_52
  <=> ! [X2: nat,X4: vEBT_VEBT,X0: list_VEBT_VEBT,X3: nat,X1: nat] :
        ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),na)))
        | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X2),X3)),deg,X0,X4)),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na)),size_s6755466524823107622T_VEBT(X0))) ) ),
    introduced(definition,[new_symbols(definition,[spl823_52])],[avatar_definition]) ).

tff(f28529,plain,
    ( ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: vEBT_VEBT] :
        ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),na)))
        | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X2),X3)),deg,X0,X4)),X1))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),na)),size_s6755466524823107622T_VEBT(X0))) )
    | ~ spl823_52 ),
    inference(avatar_component_clause,[],[f28528]) ).

tff(f28530,plain,
    ( ~ spl823_51
    | spl823_52 ),
    inference(avatar_split_clause,[],[f28514,f28528,f28524]) ).

tff(f29040,plain,
    one_one_nat = zero_n2687167440665602831ol_nat(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),set_VEBT_VEBT2(treeList))),
    inference(resolution,[],[f27600,f17048]) ).

tff(f30074,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,one_one_nat),deg)),
    inference(resolution,[],[f17369,f27434]) ).

tff(f30086,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),deg)),
    inference(resolution,[],[f30074,f17238]) ).

tff(f30098,plain,
    ( $false
    | spl823_51 ),
    inference(forward_subsumption_resolution,[],[f30086,f28526]) ).

tff(f30099,plain,
    spl823_51,
    inference(avatar_contradiction_clause,[],[f30098]) ).

tff(f32733,plain,
    ( ! [X2: vEBT_VEBT,X0: nat,X1: nat] :
        ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1)),deg,treeList,X2)),ya))
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na)),size_s6755466524823107622T_VEBT(treeList))) )
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(resolution,[],[f26987,f28529]) ).

tff(f32743,plain,
    ( ! [X2: vEBT_VEBT,X0: nat,X1: nat] : pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1)),deg,treeList,X2)),ya))
    | ~ spl823_12
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(forward_subsumption_resolution,[],[f32733,f26844]) ).

tff(f32746,plain,
    ( pp(fFalse)
    | spl823_7
    | ~ spl823_12
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(superposition,[],[f32743,f26906]) ).

tff(f32755,plain,
    ( $false
    | spl823_7
    | ~ spl823_12
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(forward_subsumption_resolution,[],[f32746,f19946]) ).

tff(f32756,plain,
    ( spl823_7
    | ~ spl823_12
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(avatar_contradiction_clause,[],[f32755]) ).

tff(f32783,definition,
    ( spl823_121
  <=> pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))) ),
    introduced(definition,[new_symbols(definition,[spl823_121])],[avatar_definition]) ).

tff(f32784,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))
    | ~ spl823_121 ),
    inference(avatar_component_clause,[],[f32783]) ).

tff(f32785,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))
    | spl823_121 ),
    inference(avatar_component_clause,[],[f32783]) ).

tff(f32789,definition,
    ( spl823_122
  <=> ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na) ) ),
    introduced(definition,[new_symbols(definition,[spl823_122])],[avatar_definition]) ).

tff(f32790,plain,
    ( ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na) )
    | spl823_122 ),
    inference(avatar_component_clause,[],[f32789]) ).

tff(f32791,plain,
    ( ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na) )
    | ~ spl823_122 ),
    inference(avatar_component_clause,[],[f32789]) ).

tff(f32831,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))
    | ~ spl823_8 ),
    inference(superposition,[],[f26731,f26248]) ).

tff(f32856,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na)))
    | ~ spl823_8 ),
    inference(forward_demodulation,[],[f32831,f17047]) ).

tff(f32857,plain,
    ( $false
    | ~ spl823_8
    | spl823_121 ),
    inference(forward_subsumption_resolution,[],[f32856,f32785]) ).

tff(f32858,plain,
    ( ~ spl823_8
    | spl823_121 ),
    inference(avatar_contradiction_clause,[],[f32857]) ).

tff(f32877,plain,
    ( ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),set_VEBT_VEBT2(treeList)))
    | ~ spl823_121 ),
    inference(resolution,[],[f32784,f24424]) ).

tff(f32887,plain,
    ( ( zero_zero_nat = zero_n2687167440665602831ol_nat(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),set_VEBT_VEBT2(treeList))) )
    | ~ spl823_121 ),
    inference(resolution,[],[f32877,f21626]) ).

tff(f32897,plain,
    ( ( one_one_nat = zero_zero_nat )
    | ~ spl823_121 ),
    inference(forward_demodulation,[],[f32887,f29040]) ).

tff(f32900,plain,
    ( $false
    | ~ spl823_121 ),
    inference(forward_subsumption_resolution,[],[f32897,f17859]) ).

tff(f32901,plain,
    ~ spl823_121,
    inference(avatar_contradiction_clause,[],[f32900]) ).

tff(f32904,plain,
    ( ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ya),na) )
    | spl823_17 ),
    inference(forward_subsumption_resolution,[],[f26978,f26986]) ).

tff(f32983,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | ~ spl823_122 ),
    inference(superposition,[],[f26731,f32791]) ).

tff(f32996,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | ~ spl823_122 ),
    inference(forward_demodulation,[],[f32983,f17047]) ).

tff(f33039,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | spl823_17
    | ~ spl823_122 ),
    inference(superposition,[],[f26986,f32791]) ).

tff(f33095,plain,
    ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ya),na)))
    | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),set_VEBT_VEBT2(treeList)))
    | ~ spl823_122 ),
    inference(resolution,[],[f32996,f17041]) ).

tff(f33105,plain,
    ( ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),set_VEBT_VEBT2(treeList)))
    | spl823_17
    | ~ spl823_122 ),
    inference(forward_subsumption_resolution,[],[f33095,f33039]) ).

tff(f33111,plain,
    ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),size_s6755466524823107622T_VEBT(treeList)))
    | spl823_17
    | ~ spl823_122 ),
    inference(resolution,[],[f33105,f24678]) ).

tff(f33120,plain,
    ( $false
    | spl823_17
    | ~ spl823_122 ),
    inference(forward_subsumption_resolution,[],[f33111,f17048]) ).

tff(f33121,plain,
    ( spl823_17
    | ~ spl823_122 ),
    inference(avatar_contradiction_clause,[],[f33120]) ).

tff(f33125,plain,
    ( $false
    | spl823_17
    | spl823_122 ),
    inference(forward_subsumption_resolution,[],[f32904,f32790]) ).

tff(f33126,plain,
    ( spl823_17
    | spl823_122 ),
    inference(avatar_contradiction_clause,[],[f33125]) ).

cnf(s9,plain,
    ( ~ spl823_7
    | spl823_8 ),
    inference(sat_conversion,[],[f26307]) ).

cnf(s12,plain,
    spl823_12,
    inference(sat_conversion,[],[f26848]) ).

cnf(s48,plain,
    ( ~ spl823_51
    | spl823_52 ),
    inference(sat_conversion,[],[f28530]) ).

cnf(s105,plain,
    spl823_51,
    inference(sat_conversion,[],[f30099]) ).

cnf(s138,plain,
    ( spl823_7
    | ~ spl823_12
    | ~ spl823_17
    | ~ spl823_52 ),
    inference(sat_conversion,[],[f32756]) ).

cnf(s151,plain,
    ( ~ spl823_8
    | spl823_121 ),
    inference(sat_conversion,[],[f32858]) ).

cnf(s153,plain,
    ~ spl823_121,
    inference(sat_conversion,[],[f32901]) ).

cnf(s158,plain,
    ( spl823_17
    | ~ spl823_122 ),
    inference(sat_conversion,[],[f33121]) ).

cnf(s160,plain,
    ( spl823_17
    | spl823_122 ),
    inference(sat_conversion,[],[f33126]) ).

cnf(s162,plain,
    ~ spl823_8,
    inference(rat,[],[s151,s153]) ).

cnf(s164,plain,
    spl823_52,
    inference(rat,[],[s48,s105]) ).

cnf(s168,plain,
    ~ spl823_7,
    inference(rat,[],[s9,s162]) ).

cnf(s169,plain,
    ~ spl823_17,
    inference(rat,[],[s138,s164,s12,s168]) ).

cnf(s170,plain,
    spl823_122,
    inference(rat,[],[s160,s169]) ).

cnf(s171,plain,
    $false,
    inference(rat,[],[s158,s170,s169]) ).

tff(f33132,plain,
    $false,
    inference(avatar_sat_refutation,[],[s171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP258_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n019.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 12:39:34 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.72/3.81  % (3042511)Detected formulas, will run a generic FOF schedule.
% 15.72/3.81  % (3042518)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=3734220703:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 15.72/3.81  % (3042516)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=3294591587:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 15.72/3.81  % (3042522)dis-21_1_sil=8000:lcm=predicate:random_seed=2120852286:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 15.72/3.81  % (3042521)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3842676387:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 15.72/3.81  % (3042517)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=1410650125:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 15.72/3.81  % (3042519)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1744871110:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 15.72/3.81  % (3042520)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2883110512:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 15.72/3.81  % (3042521)Instruction limit reached! 
% 15.72/3.81  % (3042521)------------------------------
% 15.72/3.81  % (3042521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.72/3.81  % (3042521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.72/3.81  % (3042521)CaDiCaL version: 2.1.3
% 15.72/3.81  % (3042521)Termination reason: Instruction limit
% 15.72/3.81  % (3042521)Termination phase: Property scanning
% 15.72/3.81  % (3042521)Time elapsed: 0.054 s
% 15.72/3.81  % (3042521)Peak memory usage: 96 MB
% 15.72/3.81  % (3042521)Instructions burned: 140 (million)
% 15.72/3.81  % (3042519)Instruction limit reached! 
% 15.72/3.81  % (3042519)------------------------------
% 15.72/3.81  % (3042519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.72/3.81  % (3042519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.72/3.81  % (3042519)CaDiCaL version: 2.1.3
% 15.72/3.81  % (3042519)Termination reason: Instruction limit
% 15.72/3.81  % (3042519)Termination phase: Saturation
% 15.72/3.81  % (3042519)Time elapsed: 0.067 s
% 15.72/3.81  % (3042519)Peak memory usage: 99 MB
% 15.72/3.81  % (3042519)Instructions burned: 109 (million)
% 15.72/3.81  % (3042520)Instruction limit reached! 
% 15.72/3.81  % (3042520)------------------------------
% 15.72/3.81  % (3042520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.72/3.81  % (3042520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.72/3.81  % (3042520)CaDiCaL version: 2.1.3
% 15.72/3.81  % (3042520)Termination reason: Instruction limit
% 15.72/3.81  % (3042520)Termination phase: Preprocessing 2
% 15.72/3.81  % (3042520)Time elapsed: 0.084 s
% 15.72/3.81  % (3042520)Peak memory usage: 97 MB
% 15.72/3.81  % (3042520)Instructions burned: 119 (million)
% 15.72/3.81  % (3042522)Instruction limit reached! 
% 15.72/3.81  % (3042522)------------------------------
% 15.72/3.81  % (3042522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.72/3.81  % (3042522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.72/3.81  % (3042522)CaDiCaL version: 2.1.3
% 15.72/3.81  % (3042522)Termination reason: Instruction limit
% 15.72/3.81  % (3042522)Termination phase: Preprocessing 1
% 15.72/3.81  % (3042522)Time elapsed: 0.085 s
% 15.72/3.81  % (3042522)Peak memory usage: 96 MB
% 15.72/3.81  % (3042522)Instructions burned: 130 (million)
% 15.72/3.81  % (3042530)lrs+10_1_sil=8000:sp=occurrence:random_seed=1180855608:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 15.72/3.81  % (3042531)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4140125006:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 15.72/3.81  % (3042532)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3696930951:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 15.72/3.81  % (3042533)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=1377865942:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 15.72/3.81  % (3042531)Instruction limit reached! 
% 21.99/4.77  % (3042531)------------------------------
% 21.99/4.77  % (3042531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042531)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042531)Termination reason: Instruction limit
% 21.99/4.77  % (3042531)Termination phase: Property scanning
% 21.99/4.77  % (3042531)Time elapsed: 0.060 s
% 21.99/4.77  % (3042531)Peak memory usage: 96 MB
% 21.99/4.77  % (3042531)Instructions burned: 157 (million)
% 21.99/4.77  % (3042533)Instruction limit reached! 
% 21.99/4.77  % (3042533)------------------------------
% 21.99/4.77  % (3042533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042533)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042533)Termination reason: Instruction limit
% 21.99/4.77  % (3042533)Termination phase: Property scanning
% 21.99/4.77  % (3042533)Time elapsed: 0.097 s
% 21.99/4.77  % (3042533)Peak memory usage: 96 MB
% 21.99/4.77  % (3042533)Instructions burned: 250 (million)
% 21.99/4.77  % (3042530)Instruction limit reached! 
% 21.99/4.77  % (3042530)------------------------------
% 21.99/4.77  % (3042530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042530)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042530)Termination reason: Instruction limit
% 21.99/4.77  % (3042530)Termination phase: Property scanning
% 21.99/4.77  % (3042530)Time elapsed: 0.151 s
% 21.99/4.77  % (3042530)Peak memory usage: 100 MB
% 21.99/4.77  % (3042530)Instructions burned: 285 (million)
% 21.99/4.77  % (3042532)Instruction limit reached! 
% 21.99/4.77  % (3042532)------------------------------
% 21.99/4.77  % (3042532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042532)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042532)Termination reason: Instruction limit
% 21.99/4.77  % (3042532)Termination phase: Saturation
% 21.99/4.77  % (3042532)Time elapsed: 0.197 s
% 21.99/4.77  % (3042532)Peak memory usage: 102 MB
% 21.99/4.77  % (3042532)Instructions burned: 325 (million)
% 21.99/4.77  % (3042538)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1095256754:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 21.99/4.77  % (3042539)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=260927568:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 21.99/4.77  % (3042540)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=457186974:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 21.99/4.77  % (3042540)Instruction limit reached! 
% 21.99/4.77  % (3042540)------------------------------
% 21.99/4.77  % (3042540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042540)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042540)Termination reason: Instruction limit
% 21.99/4.77  % (3042540)Termination phase: Preprocessing 1
% 21.99/4.77  % (3042540)Time elapsed: 0.075 s
% 21.99/4.77  % (3042540)Peak memory usage: 97 MB
% 21.99/4.77  % (3042540)Instructions burned: 113 (million)
% 21.99/4.77  % (3042542)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2140676781:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 21.99/4.77  % (3042538)Instruction limit reached! 
% 21.99/4.77  % (3042538)------------------------------
% 21.99/4.77  % (3042538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042538)CaDiCaL version: 2.1.3
% 21.99/4.77  % (3042538)Termination reason: Instruction limit
% 21.99/4.77  % (3042538)Termination phase: Property scanning
% 21.99/4.77  % (3042538)Time elapsed: 0.180 s
% 21.99/4.77  % (3042538)Peak memory usage: 102 MB
% 21.99/4.77  % (3042538)Instructions burned: 295 (million)
% 21.99/4.77  % (3042542)Instruction limit reached! 
% 21.99/4.77  % (3042542)------------------------------
% 21.99/4.77  % (3042542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.77  % (3042542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.77  % (3042542)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042542)Termination reason: Instruction limit
% 60.55/10.12  % (3042542)Termination phase: Preprocessing 3
% 60.55/10.12  % (3042542)Time elapsed: 0.092 s
% 60.55/10.12  % (3042542)Peak memory usage: 101 MB
% 60.55/10.12  % (3042542)Instructions burned: 127 (million)
% 60.55/10.12  % (3042545)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2136349052:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 60.55/10.12  % (3042547)lrs+10_1_sil=8000:sp=occurrence:random_seed=979930149:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 60.55/10.12  % (3042545)Instruction limit reached! 
% 60.55/10.12  % (3042545)------------------------------
% 60.55/10.12  % (3042545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.55/10.12  % (3042545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.55/10.12  % (3042545)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042545)Termination reason: Instruction limit
% 60.55/10.12  % (3042545)Termination phase: Property scanning
% 60.55/10.12  % (3042545)Time elapsed: 0.044 s
% 60.55/10.12  % (3042545)Peak memory usage: 96 MB
% 60.55/10.12  % (3042545)Instructions burned: 115 (million)
% 60.55/10.12  % (3042548)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2153491260:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 60.55/10.12  % (3042551)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=150719314:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 60.55/10.12  % (3042548)Instruction limit reached! 
% 60.55/10.12  % (3042548)------------------------------
% 60.55/10.12  % (3042548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.55/10.12  % (3042548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.55/10.12  % (3042548)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042548)Termination reason: Instruction limit
% 60.55/10.12  % (3042548)Termination phase: Property scanning
% 60.55/10.12  % (3042548)Time elapsed: 0.264 s
% 60.55/10.12  % (3042548)Peak memory usage: 110 MB
% 60.55/10.12  % (3042548)Instructions burned: 438 (million)
% 60.55/10.12  % (3042547)Instruction limit reached! 
% 60.55/10.12  % (3042547)------------------------------
% 60.55/10.12  % (3042547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.55/10.12  % (3042547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.55/10.12  % (3042547)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042547)Termination reason: Instruction limit
% 60.55/10.12  % (3042547)Termination phase: Saturation
% 60.55/10.12  % (3042547)Time elapsed: 0.463 s
% 60.55/10.12  % (3042547)Peak memory usage: 108 MB
% 60.55/10.12  % (3042547)Instructions burned: 907 (million)
% 60.55/10.12  % (3042554)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2668847780:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 60.55/10.12  % (3042554)Instruction limit reached! 
% 60.55/10.12  % (3042554)------------------------------
% 60.55/10.12  % (3042554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.55/10.12  % (3042554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.55/10.12  % (3042554)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042554)Termination reason: Instruction limit
% 60.55/10.12  % (3042554)Termination phase: Unused predicate definition removal
% 60.55/10.12  % (3042554)Time elapsed: 0.099 s
% 60.55/10.12  % (3042554)Peak memory usage: 97 MB
% 60.55/10.12  % (3042554)Instructions burned: 134 (million)
% 60.55/10.12  % (3042555)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3080818274:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 60.55/10.12  % (3042557)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4019827985:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 60.55/10.12  % (3042555)Instruction limit reached! 
% 60.55/10.12  % (3042555)------------------------------
% 60.55/10.12  % (3042555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.55/10.12  % (3042555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.55/10.12  % (3042555)CaDiCaL version: 2.1.3
% 60.55/10.12  % (3042555)Termination reason: Instruction limit
% 60.55/10.12  % (3042555)Termination phase: Property scanning
% 60.55/10.12  % (3042555)Time elapsed: 0.342 s
% 60.55/10.12  % (3042555)Peak memory usage: 107 MB
% 60.55/10.12  % (3042555)Instructions burned: 594 (million)
% 60.55/10.12  % (3042539)Instruction limit reached! 
% 60.55/10.12  % (3042539)------------------------------
% 60.55/10.12  % (3042539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042539)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042539)Termination reason: Instruction limit
% 88.17/14.06  % (3042539)Termination phase: Saturation
% 88.17/14.06  % (3042539)Time elapsed: 1.467 s
% 88.17/14.06  % (3042539)Peak memory usage: 252 MB
% 88.17/14.06  % (3042539)Instructions burned: 2354 (million)
% 88.17/14.06  % (3042560)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=3347219785:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 88.17/14.06  % (3042560)Instruction limit reached! 
% 88.17/14.06  % (3042560)------------------------------
% 88.17/14.06  % (3042560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042560)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042560)Termination reason: Instruction limit
% 88.17/14.06  % (3042560)Termination phase: Property scanning
% 88.17/14.06  % (3042560)Time elapsed: 0.049 s
% 88.17/14.06  % (3042560)Peak memory usage: 96 MB
% 88.17/14.06  % (3042560)Instructions burned: 125 (million)
% 88.17/14.06  % (3042561)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=33918810:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 88.17/14.06  % (3042561)Instruction limit reached! 
% 88.17/14.06  % (3042561)------------------------------
% 88.17/14.06  % (3042561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042561)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042561)Termination reason: Instruction limit
% 88.17/14.06  % (3042561)Termination phase: Property scanning
% 88.17/14.06  % (3042561)Time elapsed: 0.055 s
% 88.17/14.06  % (3042561)Peak memory usage: 96 MB
% 88.17/14.06  % (3042561)Instructions burned: 137 (million)
% 88.17/14.06  % (3042563)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2998901374:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 88.17/14.06  % (3042563)Instruction limit reached! 
% 88.17/14.06  % (3042563)------------------------------
% 88.17/14.06  % (3042563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042563)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042563)Termination reason: Instruction limit
% 88.17/14.06  % (3042563)Termination phase: Saturation
% 88.17/14.06  % (3042563)Time elapsed: 0.091 s
% 88.17/14.06  % (3042563)Peak memory usage: 101 MB
% 88.17/14.06  % (3042563)Instructions burned: 143 (million)
% 88.17/14.06  % (3042566)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2024433625:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 88.17/14.06  % (3042567)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=4224007784:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 88.17/14.06  % (3042566)Instruction limit reached! 
% 88.17/14.06  % (3042566)------------------------------
% 88.17/14.06  % (3042566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042566)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042566)Termination reason: Instruction limit
% 88.17/14.06  % (3042566)Termination phase: Saturation
% 88.17/14.06  % (3042566)Time elapsed: 0.238 s
% 88.17/14.06  % (3042566)Peak memory usage: 103 MB
% 88.17/14.06  % (3042566)Instructions burned: 432 (million)
% 88.17/14.06  % (3042570)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=3757019481:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 88.17/14.06  % (3042570)Instruction limit reached! 
% 88.17/14.06  % (3042570)------------------------------
% 88.17/14.06  % (3042570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.17/14.06  % (3042570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.17/14.06  % (3042570)CaDiCaL version: 2.1.3
% 88.17/14.06  % (3042570)Termination reason: Instruction limit
% 71.08/16.17  % (3042570)Termination phase: Preprocessing 1
% 71.08/16.17  % (3042570)Time elapsed: 0.105 s
% 71.08/16.17  % (3042570)Peak memory usage: 97 MB
% 71.08/16.17  % (3042570)Instructions burned: 150 (million)
% 71.08/16.17  % (3042572)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3343706876:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 71.08/16.17  % (3042551)Instruction limit reached! 
% 71.08/16.17  % (3042551)------------------------------
% 71.08/16.17  % (3042551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042551)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042551)Termination reason: Instruction limit
% 71.08/16.17  % (3042551)Termination phase: Saturation
% 71.08/16.17  % (3042551)Time elapsed: 3.173 s
% 71.08/16.17  % (3042551)Peak memory usage: 222 MB
% 71.08/16.17  % (3042551)Instructions burned: 5203 (million)
% 71.08/16.17  % (3042574)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1412094772:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 71.08/16.17  % (3042574)Instruction limit reached! 
% 71.08/16.17  % (3042574)------------------------------
% 71.08/16.17  % (3042574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042574)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042574)Termination reason: Instruction limit
% 71.08/16.17  % (3042574)Termination phase: Property scanning
% 71.08/16.17  % (3042574)Time elapsed: 0.370 s
% 71.08/16.17  % (3042574)Peak memory usage: 110 MB
% 71.08/16.17  % (3042574)Instructions burned: 669 (million)
% 71.08/16.17  % (3042576)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=647577398:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 71.08/16.17  % (3042576)Instruction limit reached! 
% 71.08/16.17  % (3042576)------------------------------
% 71.08/16.17  % (3042576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042576)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042576)Termination reason: Instruction limit
% 71.08/16.17  % (3042576)Termination phase: Preprocessing 1
% 71.08/16.17  % (3042576)Time elapsed: 0.119 s
% 71.08/16.17  % (3042576)Peak memory usage: 97 MB
% 71.08/16.17  % (3042576)Instructions burned: 186 (million)
% 71.08/16.17  % (3042578)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4037174864:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/193Mi)
% 71.08/16.17  % (3042578)Instruction limit reached! 
% 71.08/16.17  % (3042578)------------------------------
% 71.08/16.17  % (3042578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042578)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042578)Termination reason: Instruction limit
% 71.08/16.17  % (3042578)Termination phase: Preprocessing 1
% 71.08/16.17  % (3042578)Time elapsed: 0.136 s
% 71.08/16.17  % (3042578)Peak memory usage: 97 MB
% 71.08/16.17  % (3042578)Instructions burned: 193 (million)
% 71.08/16.17  % (3042580)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2977315062:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2936 on theBenchmark for (2936ds/4850Mi)
% 71.08/16.17  % (3042567)Instruction limit reached! 
% 71.08/16.17  % (3042567)------------------------------
% 71.08/16.17  % (3042567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042567)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042567)Termination reason: Instruction limit
% 71.08/16.17  % (3042567)Termination phase: Saturation
% 71.08/16.17  % (3042567)Time elapsed: 3.989 s
% 71.08/16.17  % (3042567)Peak memory usage: 373 MB
% 71.08/16.17  % (3042567)Instructions burned: 6060 (million)
% 71.08/16.17  % (3042582)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=51674336:i=12111:sd=1:ss=included_2924 on theBenchmark for (2924ds/12111Mi)
% 71.08/16.17  % (3042580)Instruction limit reached! 
% 71.08/16.17  % (3042580)------------------------------
% 71.08/16.17  % (3042580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042580)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042580)Termination reason: Instruction limit
% 71.08/16.17  % (3042580)Termination phase: Saturation
% 71.08/16.17  % (3042580)Time elapsed: 2.793 s
% 71.08/16.17  % (3042580)Peak memory usage: 150 MB
% 71.08/16.17  % (3042580)Instructions burned: 4851 (million)
% 71.08/16.17  % (3042584)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3061026714:i=319:kws=precedence:fsr=off_2907 on theBenchmark for (2907ds/319Mi)
% 71.08/16.17  % (3042584)Instruction limit reached! 
% 71.08/16.17  % (3042584)------------------------------
% 71.08/16.17  % (3042584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042584)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042584)Termination reason: Instruction limit
% 71.08/16.17  % (3042584)Termination phase: Clausification
% 71.08/16.17  % (3042584)Time elapsed: 0.199 s
% 71.08/16.17  % (3042584)Peak memory usage: 107 MB
% 71.08/16.17  % (3042584)Instructions burned: 320 (million)
% 71.08/16.17  % (3042586)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4156891270:i=2064:ep=RST_2903 on theBenchmark for (2903ds/2064Mi)
% 71.08/16.17  % (3042557)Instruction limit reached! 
% 71.08/16.17  % (3042557)------------------------------
% 71.08/16.17  % (3042557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042557)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042557)Termination reason: Instruction limit
% 71.08/16.17  % (3042557)Termination phase: Saturation
% 71.08/16.17  % (3042557)Time elapsed: 7.951 s
% 71.08/16.17  % (3042557)Peak memory usage: 259 MB
% 71.08/16.17  % (3042557)Instructions burned: 13194 (million)
% 71.08/16.17  % (3042586)Instruction limit reached! 
% 71.08/16.17  % (3042586)------------------------------
% 71.08/16.17  % (3042586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042586)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042586)Termination reason: Instruction limit
% 71.08/16.17  % (3042586)Termination phase: Saturation
% 71.08/16.17  % (3042586)Time elapsed: 0.950 s
% 71.08/16.17  % (3042586)Peak memory usage: 127 MB
% 71.08/16.17  % (3042586)Instructions burned: 2064 (million)
% 71.08/16.17  % (3042589)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1038742330:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2891 on theBenchmark for (2891ds/757Mi)
% 71.08/16.17  % (3042588)dis-1011_128_sil=32000:random_seed=382177052:i=3706:ep=RST:av=off_2894 on theBenchmark for (2894ds/3706Mi)
% 71.08/16.17  % (3042589)Instruction limit reached! 
% 71.08/16.17  % (3042589)------------------------------
% 71.08/16.17  % (3042589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042589)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042589)Termination reason: Instruction limit
% 71.08/16.17  % (3042589)Termination phase: Saturation
% 71.08/16.17  % (3042589)Time elapsed: 0.368 s
% 71.08/16.17  % (3042589)Peak memory usage: 108 MB
% 71.08/16.17  % (3042589)Instructions burned: 757 (million)
% 71.08/16.17  % (3042592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=424979643:i=13913:ss=axioms:sgt=8_2883 on theBenchmark for (2883ds/13913Mi)
% 71.08/16.17  % (3042572)Instruction limit reached! 
% 71.08/16.17  % (3042572)------------------------------
% 71.08/16.17  % (3042572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042572)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042572)Termination reason: Instruction limit
% 71.08/16.17  % (3042572)Termination phase: Saturation
% 71.08/16.17  % (3042572)Time elapsed: 8.465 s
% 71.08/16.17  % (3042572)Peak memory usage: 400 MB
% 71.08/16.17  % (3042572)Instructions burned: 14156 (million)
% 71.08/16.17  % (3042596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1280145617:i=9925:aac=none_2873 on theBenchmark for (2873ds/9925Mi)
% 71.08/16.17  % (3042588)Instruction limit reached! 
% 71.08/16.17  % (3042588)------------------------------
% 71.08/16.17  % (3042588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042588)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042588)Termination reason: Instruction limit
% 71.08/16.17  % (3042588)Termination phase: Saturation
% 71.08/16.17  % (3042588)Time elapsed: 1.960 s
% 71.08/16.17  % (3042588)Peak memory usage: 144 MB
% 71.08/16.17  % (3042588)Instructions burned: 3706 (million)
% 71.08/16.17  % (3042712)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2588479708:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2867 on theBenchmark for (2867ds/2479Mi)
% 71.08/16.17  % (3042712)Instruction limit reached! 
% 71.08/16.17  % (3042712)------------------------------
% 71.08/16.17  % (3042712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042712)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042712)Termination reason: Instruction limit
% 71.08/16.17  % (3042712)Termination phase: Saturation
% 71.08/16.17  % (3042712)Time elapsed: 1.271 s
% 71.08/16.17  % (3042712)Peak memory usage: 111 MB
% 71.08/16.17  % (3042712)Instructions burned: 2480 (million)
% 71.08/16.17  % (3042582)Instruction limit reached! 
% 71.08/16.17  % (3042582)------------------------------
% 71.08/16.17  % (3042582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042582)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042582)Termination reason: Instruction limit
% 71.08/16.17  % (3042582)Termination phase: Saturation
% 71.08/16.17  % (3042582)Time elapsed: 6.955 s
% 71.08/16.17  % (3042582)Peak memory usage: 360 MB
% 71.08/16.17  % (3042582)Instructions burned: 12113 (million)
% 71.08/16.17  % (3042829)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1434591324:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2853 on theBenchmark for (2853ds/11145Mi)
% 71.08/16.17  % (3042828)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=533546037:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2853 on theBenchmark for (2853ds/440Mi)
% 71.08/16.17  % (3042592)First to succeed.
% 71.08/16.17  % (3042592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3042511"
% 71.08/16.17  % (3042828)Instruction limit reached! 
% 71.08/16.17  % (3042828)------------------------------
% 71.08/16.17  % (3042828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.08/16.17  % (3042828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.08/16.17  % (3042828)CaDiCaL version: 2.1.3
% 71.08/16.17  % (3042828)Termination reason: Instruction limit
% 71.08/16.17  % (3042828)Termination phase: Property scanning
% 71.08/16.17  % (3042828)Time elapsed: 0.249 s
% 71.08/16.17  % (3042828)Peak memory usage: 96 MB
% 71.08/16.17  % (3042828)Instructions burned: 440 (million)
% 71.08/16.17  % (3042592)Refutation found. Thanks to Tanya!
% 71.08/16.17  % SZS status Theorem for theBenchmark
% 71.08/16.17  % SZS output start Proof for theBenchmark
% See solution above
% 103.25/16.36  % (3042592)------------------------------
% 103.25/16.36  % (3042592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.25/16.36  % (3042592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.25/16.36  % (3042592)CaDiCaL version: 2.1.3
% 103.25/16.36  % (3042592)Termination reason: Refutation
% 103.25/16.36  % (3042592)Time elapsed: 3.199 s
% 103.25/16.36  % (3042592)Peak memory usage: 211 MB
% 103.25/16.36  % (3042592)Instructions burned: 5399 (million)
% 103.25/16.36  % (3042592)------------------------------
% 103.25/16.36  % (3042592)------------------------------
% 103.25/16.36  % (3042511)Success in time 15.31 s
% 103.25/16.36  % Vampire exiting
%------------------------------------------------------------------------------