TSTP Solution File: ITP278_1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP278_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:08:12 EDT 2024

% Result   : Theorem 11.12s 2.54s
% Output   : Refutation 11.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      : 7735
% Syntax   : Number of formulae    : 9694 (1569 unt;6674 typ;   0 def)
%            Number of atoms       : 7074 (2963 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 6470 (2416   ~;1728   |;1504   &)
%                                         ( 657 <=>; 163  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  517 ( 516 usr)
%            Number of type conns  : 10590 (5638   >;4952   *;   0   +;   0  <<)
%            Number of predicates  : 1303 (1300 usr; 519 prp; 0-7 aty)
%            Number of functors    : 5375 (5375 usr; 520 con; 0-8 aty)
%            Number of variables   : 3782 (3382   !; 400   ?;3782   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_se177437144654672861at_nat: $tType ).

tff(type_def_6,type,
    produc1319942482725812455at_nat: $tType ).

tff(type_def_7,type,
    fun_fu224428745893945571t_bool: $tType ).

tff(type_def_8,type,
    produc1260151622200656695at_nat: $tType ).

tff(type_def_9,type,
    fun_se6392513987399461773t_bool: $tType ).

tff(type_def_10,type,
    fun_se6846035212209387651at_nat: $tType ).

tff(type_def_11,type,
    fun_Pr124437560471516333t_bool: $tType ).

tff(type_def_12,type,
    produc533602882674032673at_nat: $tType ).

tff(type_def_13,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_14,type,
    fun_fu2754956555950464963t_bool: $tType ).

tff(type_def_15,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_16,type,
    fun_fu5047582607593018841at_nat: $tType ).

tff(type_def_17,type,
    fun_se3560235952666129655at_nat: $tType ).

tff(type_def_18,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_19,type,
    fun_fu3898734532474705027nt_int: $tType ).

tff(type_def_20,type,
    fun_se8353504738346895699t_bool: $tType ).

tff(type_def_21,type,
    fun_Pr5442483421567724333t_bool: $tType ).

tff(type_def_22,type,
    fun_fu4959356912570239247t_bool: $tType ).

tff(type_def_23,type,
    fun_fu5132082026026788591t_bool: $tType ).

tff(type_def_24,type,
    fun_fu7993321427942571930at_nat: $tType ).

tff(type_def_25,type,
    fun_fu5855118699552457754t_bool: $tType ).

tff(type_def_26,type,
    fun_Pr1607443439640623155t_bool: $tType ).

tff(type_def_27,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_28,type,
    fun_Pr1253225528153422666at_nat: $tType ).

tff(type_def_29,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_30,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_31,type,
    fun_fu2194082084716825453t_bool: $tType ).

tff(type_def_32,type,
    set_Pr4407170740510854343l_bool: $tType ).

tff(type_def_33,type,
    fun_op5682630191948829869t_bool: $tType ).

tff(type_def_34,type,
    set_Pr2764432955389651297at_nat: $tType ).

tff(type_def_35,type,
    produc6167219322466932359on_num: $tType ).

tff(type_def_36,type,
    produc3700678068921409119on_nat: $tType ).

tff(type_def_37,type,
    list_P5464809261938338413at_nat: $tType ).

tff(type_def_38,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_39,type,
    produc7004362771917097900on_nat: $tType ).

tff(type_def_40,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_41,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_42,type,
    set_Pr4329608150637261639at_nat: $tType ).

tff(type_def_43,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_44,type,
    produc9217583074051984497at_nat: $tType ).

tff(type_def_45,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_46,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_47,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_48,type,
    fun_fu6919794090103715845omplex: $tType ).

tff(type_def_49,type,
    fun_se1534075524646452397t_bool: $tType ).

tff(type_def_50,type,
    produc1429801123241496295l_bool: $tType ).

tff(type_def_51,type,
    produc8196147696116026881at_nat: $tType ).

tff(type_def_52,type,
    produc3843707927480180839at_nat: $tType ).

tff(type_def_53,type,
    fun_fu6897202038601531823t_bool: $tType ).

tff(type_def_54,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_55,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_56,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_57,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_58,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_59,type,
    fun_fu1584491925252458057omplex: $tType ).

tff(type_def_60,type,
    fun_se3305628495172992525t_bool: $tType ).

tff(type_def_61,type,
    fun_fu709861064203714431x_real: $tType ).

tff(type_def_62,type,
    fun_fu5995210064384465734x_bool: $tType ).

tff(type_def_63,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_64,type,
    fun_fu9216119399439645550x_bool: $tType ).

tff(type_def_65,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_66,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_67,type,
    fun_fu6638204120336560003ex_rat: $tType ).

tff(type_def_68,type,
    fun_fu2513798379308225899ex_nat: $tType ).

tff(type_def_69,type,
    fun_fu4692242605864086655ex_int: $tType ).

tff(type_def_70,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_71,type,
    fun_se320340636488258563at_nat: $tType ).

tff(type_def_72,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_73,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_74,type,
    fun_op775672374849087042m_bool: $tType ).

tff(type_def_75,type,
    fun_op9100744243108201484t_bool: $tType ).

tff(type_def_76,type,
    fun_op7732454363416259258t_bool: $tType ).

tff(type_def_77,type,
    fun_op5698422665285572208t_bool: $tType ).

tff(type_def_78,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_79,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_80,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_81,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_82,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_83,type,
    fun_bo3682073979402284333at_nat: $tType ).

tff(type_def_84,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_85,type,
    fun_fu9132278742410140537l_real: $tType ).

tff(type_def_86,type,
    fun_fu2568719150003003596l_bool: $tType ).

tff(type_def_87,type,
    fun_fu3777146598159127724l_real: $tType ).

tff(type_def_88,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_89,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_90,type,
    fun_fu9084992954297690841l_bool: $tType ).

tff(type_def_91,type,
    fun_co3732688428756473980omplex: $tType ).

tff(type_def_92,type,
    fun_fu6750725090257165812l_bool: $tType ).

tff(type_def_93,type,
    fun_fu7187499828406537085al_rat: $tType ).

tff(type_def_94,type,
    fun_fu3768230810189712741al_nat: $tType ).

tff(type_def_95,type,
    fun_fu5645595436833112697al_int: $tType ).

tff(type_def_96,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_97,type,
    fun_fu4328765270694171897t_real: $tType ).

tff(type_def_98,type,
    fun_fu8639250699203096928t_bool: $tType ).

tff(type_def_99,type,
    fun_fu3401574108658714444t_bool: $tType ).

tff(type_def_100,type,
    fun_fu8303122171908583641l_bool: $tType ).

tff(type_def_101,type,
    fun_fu6757280373297557336ol_rat: $tType ).

tff(type_def_102,type,
    fun_fu4970875099359191043t_bool: $tType ).

tff(type_def_103,type,
    fun_fu737869097161986712t_bool: $tType ).

tff(type_def_104,type,
    fun_fu1660592803699026854at_nat: $tType ).

tff(type_def_105,type,
    fun_fu2971308621445215880t_bool: $tType ).

tff(type_def_106,type,
    fun_fu163127709195666036t_bool: $tType ).

tff(type_def_107,type,
    fun_fu1217771548038759377at_nat: $tType ).

tff(type_def_108,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_109,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_110,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_111,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_112,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_113,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_114,type,
    fun_fu1617438229336688381nt_rat: $tType ).

tff(type_def_115,type,
    fun_fu5221552698205305849nt_int: $tType ).

tff(type_def_116,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_117,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_118,type,
    fun_Co8502721031311864414nteger: $tType ).

tff(type_def_119,type,
    fun_se2100927751953696370t_real: $tType ).

tff(type_def_120,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_121,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_122,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_123,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_124,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_125,type,
    fun_fu4528473944208963392omplex: $tType ).

tff(type_def_126,type,
    fun_fu8303687057036190147t_bool: $tType ).

tff(type_def_127,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_128,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_129,type,
    fun_na5265545386895126880t_bool: $tType ).

tff(type_def_130,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_131,type,
    fun_fu4063443379060642216t_real: $tType ).

tff(type_def_132,type,
    fun_fu7495562154832025027t_bool: $tType ).

tff(type_def_133,type,
    fun_fu624093908337759363nteger: $tType ).

tff(type_def_134,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_135,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_136,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_137,type,
    fun_re6135230694098607860t_real: $tType ).

tff(type_def_138,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_139,type,
    fun_fu8064956510386623256t_real: $tType ).

tff(type_def_140,type,
    fun_re7819166435457029784t_real: $tType ).

tff(type_def_141,type,
    fun_se7035039998181355731t_bool: $tType ).

tff(type_def_142,type,
    fun_fu4806068833880117316t_real: $tType ).

tff(type_def_143,type,
    fun_fu2115079063411676732t_real: $tType ).

tff(type_def_144,type,
    fun_fu4540635375566031512t_real: $tType ).

tff(type_def_145,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_146,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_147,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_148,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_149,type,
    fun_Co4193813265255946772nteger: $tType ).

tff(type_def_150,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_151,type,
    fun_fu2636726645394866687t_bool: $tType ).

tff(type_def_152,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_153,type,
    fun_se1925730536474940935t_bool: $tType ).

tff(type_def_154,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_155,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_156,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_157,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_158,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_159,type,
    fun_se1909708154429037836et_nat: $tType ).

tff(type_def_160,type,
    fun_ra8505079968215247908at_rat: $tType ).

tff(type_def_161,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_162,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_163,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_164,type,
    fun_Co4664883906889918906nteger: $tType ).

tff(type_def_165,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_166,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_167,type,
    fun_fu5641360819561228055l_bool: $tType ).

tff(type_def_168,type,
    fun_op1962577433978643573m_bool: $tType ).

tff(type_def_169,type,
    fun_op1064277265382982207t_bool: $tType ).

tff(type_def_170,type,
    fun_op8690601775248757823m_bool: $tType ).

tff(type_def_171,type,
    fun_op7792301606653096457t_bool: $tType ).

tff(type_def_172,type,
    fun_bo6148171183121378627t_bool: $tType ).

tff(type_def_173,type,
    fun_fu4450724535874491238ol_nat: $tType ).

tff(type_def_174,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_175,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_176,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_177,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_178,type,
    fun_fu6356453956411242500x_bool: $tType ).

tff(type_def_179,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_180,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_181,type,
    fun_fu5204410621998794179x_bool: $tType ).

tff(type_def_182,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_183,type,
    fun_op2627489687811228755t_bool: $tType ).

tff(type_def_184,type,
    fun_fu3810065756161129304x_bool: $tType ).

tff(type_def_185,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_186,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_187,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_188,type,
    fun_fu4213752561377164075ex_int: $tType ).

tff(type_def_189,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_190,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_191,type,
    fun_Co8416587583108374242nteger: $tType ).

tff(type_def_192,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_193,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_194,type,
    fun_li8534502363195896595t_bool: $tType ).

tff(type_def_195,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_196,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_197,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_198,type,
    fun_se8074476271188067385t_bool: $tType ).

tff(type_def_199,type,
    fun_na2508794161012263405T_bool: $tType ).

tff(type_def_200,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_201,type,
    fun_Pr6026251430685297nteger: $tType ).

tff(type_def_202,type,
    fun_Co8554863136687237708t_bool: $tType ).

tff(type_def_203,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_204,type,
    fun_se707272970763642173t_bool: $tType ).

tff(type_def_205,type,
    fun_se2973560062716774839x_bool: $tType ).

tff(type_def_206,type,
    fun_Co5578011877475920934t_bool: $tType ).

tff(type_def_207,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_208,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_209,type,
    fun_fu4781654129426620053omplex: $tType ).

tff(type_def_210,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_211,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_212,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_213,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_214,type,
    fun_fu7376312551830202376l_bool: $tType ).

tff(type_def_215,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_216,type,
    list_P5912569763298001674T_VEBT: $tType ).

tff(type_def_217,type,
    fun_fu5874800227564645059l_bool: $tType ).

tff(type_def_218,type,
    fun_fu4678014405698904899l_real: $tType ).

tff(type_def_219,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_220,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_221,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_222,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_223,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_224,type,
    fun_fu2277326744902863452l_bool: $tType ).

tff(type_def_225,type,
    fun_fu2238024911088387052l_bool: $tType ).

tff(type_def_226,type,
    set_li5450038453877631591at_nat: $tType ).

tff(type_def_227,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_228,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_229,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_230,type,
    fun_fu3737244727311182119al_int: $tType ).

tff(type_def_231,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_232,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_233,type,
    fun_fu7925023953348749699l_bool: $tType ).

tff(type_def_234,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_235,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_236,type,
    fun_fu7195134416904984768t_bool: $tType ).

tff(type_def_237,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_238,type,
    fun_fu549321512867696136t_bool: $tType ).

tff(type_def_239,type,
    fun_fu6678276313180071960l_bool: $tType ).

tff(type_def_240,type,
    fun_na376774557589183419x_bool: $tType ).

tff(type_def_241,type,
    set_se7855581050983116737at_nat: $tType ).

tff(type_def_242,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_243,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_244,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_245,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_246,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_247,type,
    fun_fu7257246399608679363ol_rat: $tType ).

tff(type_def_248,type,
    fun_fu560003646518074819ol_nat: $tType ).

tff(type_def_249,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_250,type,
    fun_fu3052598110916186900t_bool: $tType ).

tff(type_def_251,type,
    fun_fu337402001079966300t_bool: $tType ).

tff(type_def_252,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_253,type,
    fun_Co7124838579184476414x_bool: $tType ).

tff(type_def_254,type,
    produc7272778201969148633d_enat: $tType ).

tff(type_def_255,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_256,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_257,type,
    fun_fu4512855384587262995at_int: $tType ).

tff(type_def_258,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_259,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_260,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_261,type,
    fun_fu6415725884910174923nt_int: $tType ).

tff(type_def_262,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_263,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_264,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_265,type,
    fun_nu9041852840018610706omplex: $tType ).

tff(type_def_266,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_267,type,
    fun_na3925014923085203400omplex: $tType ).

tff(type_def_268,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_269,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_270,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_271,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_272,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_273,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_274,type,
    fun_se2197967325210717499l_bool: $tType ).

tff(type_def_275,type,
    fun_Pr672294278902479040t_real: $tType ).

tff(type_def_276,type,
    fun_Pr6287530515171585797m_bool: $tType ).

tff(type_def_277,type,
    fun_Pr1727971692872576719m_bool: $tType ).

tff(type_def_278,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_279,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_280,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_281,type,
    fun_na205931550456536010l_bool: $tType ).

tff(type_def_282,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_283,type,
    fun_se689384475314470797l_bool: $tType ).

tff(type_def_284,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_285,type,
    fun_Pr8317260874932935276at_rat: $tType ).

tff(type_def_286,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_287,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_288,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_289,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_290,type,
    fun_na7919044170365968317t_bool: $tType ).

tff(type_def_291,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_292,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_293,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_294,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_295,type,
    fun_nu4698968662094489488t_real: $tType ).

tff(type_def_296,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_297,type,
    fun_na3666575854997362246t_real: $tType ).

tff(type_def_298,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_299,type,
    fun_se680526843285281907t_bool: $tType ).

tff(type_def_300,type,
    fun_se6612071603986899387t_bool: $tType ).

tff(type_def_301,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_302,type,
    fun_nu7299076251450613493t_bool: $tType ).

tff(type_def_303,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_304,type,
    fun_na7380188056088765119t_bool: $tType ).

tff(type_def_305,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_306,type,
    fun_Co8657364630979331932t_bool: $tType ).

tff(type_def_307,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_308,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_309,type,
    fun_nu530747996811530292et_nat: $tType ).

tff(type_def_310,type,
    fun_nu4940571614878387344et_int: $tType ).

tff(type_def_311,type,
    fun_na106483476154090400at_nat: $tType ).

tff(type_def_312,type,
    fun_na3896347130304379370et_nat: $tType ).

tff(type_def_313,type,
    fun_na8306170748371236422et_int: $tType ).

tff(type_def_314,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_315,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_316,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_317,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_318,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_319,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_320,type,
    set_Pr8621012493645324487l_bool: $tType ).

tff(type_def_321,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_322,type,
    produc8408751633324799108T_VEBT: $tType ).

tff(type_def_323,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_324,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_325,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_326,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_327,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_328,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_329,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_330,type,
    set_Pr8218934625190621173um_num: $tType ).

tff(type_def_331,type,
    set_Pr6200539531224447659at_num: $tType ).

tff(type_def_332,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_333,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_334,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_335,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_336,type,
    fun_li3231056112175589690nteger: $tType ).

tff(type_def_337,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_338,type,
    fun_na2180513548729900188l_real: $tType ).

tff(type_def_339,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_340,type,
    fun_in5750378413879446255x_bool: $tType ).

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

tff(type_def_342,type,
    fun_se7586849273513198688nteger: $tType ).

tff(type_def_343,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_344,type,
    fun_na8457291176974909128ex_nat: $tType ).

tff(type_def_345,type,
    fun_in3657390099950231424ex_int: $tType ).

tff(type_def_346,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_347,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_348,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_349,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_350,type,
    fun_na6801867027684862029l_bool: $tType ).

tff(type_def_351,type,
    fun_li356976171784545970x_bool: $tType ).

tff(type_def_352,type,
    fun_bo1841576699660343469l_bool: $tType ).

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

tff(type_def_354,type,
    fun_fu7168253649841883962l_bool: $tType ).

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

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

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

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

tff(type_def_359,type,
    fun_na9137082442855928016l_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_386,type,
    fun_co8153928105989009288nteger: $tType ).

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

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

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

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

tff(type_def_391,type,
    produc2804947525362035943l_bool: $tType ).

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

tff(type_def_393,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_394,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_404,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

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

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

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

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

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

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

tff(type_def_415,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_416,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_429,type,
    fun_Pr1792556611952799308t_real: $tType ).

tff(type_def_430,type,
    fun_Pr1572506220757514509t_bool: $tType ).

tff(type_def_431,type,
    fun_bo1891391082718140537t_unit: $tType ).

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

tff(type_def_433,type,
    fun_na8797796813480665199d_enat: $tType ).

tff(type_def_434,type,
    set_list_bool: $tType ).

tff(type_def_435,type,
    list_VEBT_VEBT: $tType ).

tff(type_def_436,type,
    fun_real_complex: $tType ).

tff(type_def_437,type,
    fun_complex_real: $tType ).

tff(type_def_438,type,
    set_list_nat: $tType ).

tff(type_def_439,type,
    set_list_int: $tType ).

tff(type_def_440,type,
    fun_literal_real: $tType ).

tff(type_def_441,type,
    fun_bool_complex: $tType ).

tff(type_def_442,type,
    fun_complex_bool: $tType ).

tff(type_def_443,type,
    set_VEBT_VEBT: $tType ).

tff(type_def_444,type,
    fun_nat_complex: $tType ).

tff(type_def_445,type,
    fun_int_complex: $tType ).

tff(type_def_446,type,
    fun_complex_rat: $tType ).

tff(type_def_447,type,
    fun_complex_num: $tType ).

tff(type_def_448,type,
    fun_complex_nat: $tType ).

tff(type_def_449,type,
    fun_complex_int: $tType ).

tff(type_def_450,type,
    set_set_nat: $tType ).

tff(type_def_451,type,
    set_Code_integer: $tType ).

tff(type_def_452,type,
    fun_char_nat: $tType ).

tff(type_def_453,type,
    fun_real_real: $tType ).

tff(type_def_454,type,
    fun_nat_char: $tType ).

tff(type_def_455,type,
    fun_real_bool: $tType ).

tff(type_def_456,type,
    fun_bool_real: $tType ).

tff(type_def_457,type,
    fun_real_rat: $tType ).

tff(type_def_458,type,
    fun_real_num: $tType ).

tff(type_def_459,type,
    fun_real_nat: $tType ).

tff(type_def_460,type,
    fun_real_int: $tType ).

tff(type_def_461,type,
    fun_rat_real: $tType ).

tff(type_def_462,type,
    fun_num_real: $tType ).

tff(type_def_463,type,
    fun_nat_real: $tType ).

tff(type_def_464,type,
    fun_int_real: $tType ).

tff(type_def_465,type,
    fun_bool_bool: $tType ).

tff(type_def_466,type,
    list_complex: $tType ).

tff(type_def_467,type,
    fun_rat_bool: $tType ).

tff(type_def_468,type,
    fun_num_bool: $tType ).

tff(type_def_469,type,
    fun_nat_bool: $tType ).

tff(type_def_470,type,
    fun_int_bool: $tType ).

tff(type_def_471,type,
    fun_bool_rat: $tType ).

tff(type_def_472,type,
    fun_bool_num: $tType ).

tff(type_def_473,type,
    fun_bool_nat: $tType ).

tff(type_def_474,type,
    fun_bool_int: $tType ).

tff(type_def_475,type,
    fun_rat_rat: $tType ).

tff(type_def_476,type,
    fun_rat_num: $tType ).

tff(type_def_477,type,
    fun_rat_nat: $tType ).

tff(type_def_478,type,
    fun_rat_int: $tType ).

tff(type_def_479,type,
    fun_num_rat: $tType ).

tff(type_def_480,type,
    fun_num_num: $tType ).

tff(type_def_481,type,
    fun_num_nat: $tType ).

tff(type_def_482,type,
    fun_num_int: $tType ).

tff(type_def_483,type,
    fun_nat_rat: $tType ).

tff(type_def_484,type,
    fun_nat_num: $tType ).

tff(type_def_485,type,
    fun_nat_nat: $tType ).

tff(type_def_486,type,
    fun_nat_int: $tType ).

tff(type_def_487,type,
    fun_int_rat: $tType ).

tff(type_def_488,type,
    fun_int_num: $tType ).

tff(type_def_489,type,
    fun_int_nat: $tType ).

tff(type_def_490,type,
    fun_int_int: $tType ).

tff(type_def_491,type,
    set_complex: $tType ).

tff(type_def_492,type,
    filter_real: $tType ).

tff(type_def_493,type,
    option_num: $tType ).

tff(type_def_494,type,
    option_nat: $tType ).

tff(type_def_495,type,
    filter_nat: $tType ).

tff(type_def_496,type,
    set_char: $tType ).

tff(type_def_497,type,
    list_real: $tType ).

tff(type_def_498,type,
    list_bool: $tType ).

tff(type_def_499,type,
    set_real: $tType ).

tff(type_def_500,type,
    list_num: $tType ).

tff(type_def_501,type,
    list_nat: $tType ).

tff(type_def_502,type,
    list_int: $tType ).

tff(type_def_503,type,
    vEBT_VEBT: $tType ).

tff(type_def_504,type,
    set_bool: $tType ).

tff(type_def_505,type,
    set_rat: $tType ).

tff(type_def_506,type,
    set_num: $tType ).

tff(type_def_507,type,
    set_nat: $tType ).

tff(type_def_508,type,
    set_int: $tType ).

tff(type_def_509,type,
    code_integer: $tType ).

tff(type_def_510,type,
    product_unit: $tType ).

tff(type_def_511,type,
    extended_enat: $tType ).

tff(type_def_512,type,
    complex: $tType ).

tff(type_def_513,type,
    literal: $tType ).

tff(type_def_514,type,
    char: $tType ).

tff(type_def_515,type,
    real: $tType ).

tff(type_def_516,type,
    bool: $tType ).

tff(type_def_517,type,
    rat: $tType ).

tff(type_def_518,type,
    num: $tType ).

tff(type_def_519,type,
    nat: $tType ).

tff(type_def_520,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_bool > fun_bool_bool ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_int > fun_int_bool ).

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

tff(func_def_4,type,
    aTP_Lamm_ad: set_complex > fun_complex_bool ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

tff(func_def_6,type,
    aTP_Lamm_af: set_set_nat > fun_set_nat_bool ).

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

tff(func_def_10,type,
    aTP_Lamm_aj: produc3843707927480180839at_nat > fun_Pr1607443439640623155t_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_co1378794544173401837x_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: set_nat > fun_set_nat_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: list_nat > fun_list_nat_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_Pr248683899324676269t_bool ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_bo1841576699660343469l_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_fun_nat_bool ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_int_fun_int_bool ).

tff(func_def_18,type,
    aTP_Lamm_ar: set_real > fun_se2197967325210717499l_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: set_bool > fun_se689384475314470797l_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: set_int > fun_se6612071603986899387t_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: set_complex > fun_se2973560062716774839x_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: set_Pr1261947904930325089at_nat > fun_se3305628495172992525t_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_set_nat > fun_se1925730536474940935t_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: set_list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: set_nat > fun_se680526843285281907t_bool ).

tff(func_def_26,type,
    aTP_Lamm_az: set_Pr8218934625190621173um_num > fun_num_fun_num_bool ).

tff(func_def_27,type,
    aTP_Lamm_ba: set_Pr6200539531224447659at_num > fun_nat_fun_num_bool ).

tff(func_def_28,type,
    aTP_Lamm_bb: set_Pr1261947904930325089at_nat > fun_nat_fun_nat_bool ).

tff(func_def_29,type,
    aTP_Lamm_bc: set_Pr958786334691620121nt_int > fun_int_fun_int_bool ).

tff(func_def_30,type,
    aTP_Lamm_bd: set_Pr4329608150637261639at_nat > fun_se1534075524646452397t_bool ).

tff(func_def_31,type,
    aTP_Lamm_be: set_Pr4329608150637261639at_nat > fun_Pr1607443439640623155t_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: set_real > fun_se2197967325210717499l_bool ).

tff(func_def_33,type,
    aTP_Lamm_bg: set_bool > fun_se689384475314470797l_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: set_int > fun_se6612071603986899387t_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: set_complex > fun_se2973560062716774839x_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: set_Pr1261947904930325089at_nat > fun_se3305628495172992525t_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: set_set_nat > fun_se1925730536474940935t_bool ).

tff(func_def_38,type,
    aTP_Lamm_bl: set_list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_39,type,
    aTP_Lamm_bm: set_nat > fun_se680526843285281907t_bool ).

tff(func_def_40,type,
    aTP_Lamm_bn: set_Pr4329608150637261639at_nat > fun_se6392513987399461773t_bool ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_complex_bool > fun_fu5204410621998794179x_bool ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_Pr7757163693017731481t_bool > fun_fu6897202038601531823t_bool ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_set_nat_bool > fun_fu7495562154832025027t_bool ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_list_nat_bool > fun_fu8303687057036190147t_bool ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_nat_bool > fun_fu3889889255038636099t_bool ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_Pr1607443439640623155t_bool > fun_fu224428745893945571t_bool ).

tff(func_def_47,type,
    aTP_Lamm_bu: set_real > fun_fu5874800227564645059l_bool ).

tff(func_def_48,type,
    aTP_Lamm_bv: set_bool > fun_fu7925023953348749699l_bool ).

tff(func_def_49,type,
    aTP_Lamm_bw: set_int > fun_fu7822069302422884163t_bool ).

tff(func_def_50,type,
    aTP_Lamm_bx: set_complex > fun_fu5204410621998794179x_bool ).

tff(func_def_51,type,
    aTP_Lamm_by: set_Pr1261947904930325089at_nat > fun_fu6897202038601531823t_bool ).

tff(func_def_52,type,
    aTP_Lamm_bz: set_set_nat > fun_fu7495562154832025027t_bool ).

tff(func_def_53,type,
    aTP_Lamm_ca: set_list_nat > fun_fu8303687057036190147t_bool ).

tff(func_def_54,type,
    aTP_Lamm_cb: set_nat > fun_fu3889889255038636099t_bool ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_complex_bool ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_set_nat_bool ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_list_nat_bool ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_Pr7757163693017731481t_bool ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_bool_bool ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_nat_bool ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_int_bool ).

tff(func_def_62,type,
    aTP_Lamm_cj: int > fun_fu7822069302422884163t_bool ).

tff(func_def_63,type,
    aTP_Lamm_ck: bool > fun_fu7925023953348749699l_bool ).

tff(func_def_64,type,
    aTP_Lamm_cl: produc3843707927480180839at_nat > fun_fu224428745893945571t_bool ).

tff(func_def_65,type,
    aTP_Lamm_cm: nat > fun_fu3889889255038636099t_bool ).

tff(func_def_66,type,
    aTP_Lamm_cn: complex > fun_fu5204410621998794179x_bool ).

tff(func_def_67,type,
    aTP_Lamm_co: product_prod_nat_nat > fun_fu6897202038601531823t_bool ).

tff(func_def_68,type,
    aTP_Lamm_cp: set_nat > fun_fu7495562154832025027t_bool ).

tff(func_def_69,type,
    aTP_Lamm_cq: list_nat > fun_fu8303687057036190147t_bool ).

tff(func_def_70,type,
    aTP_Lamm_cr: produc3843707927480180839at_nat > fun_se6392513987399461773t_bool ).

tff(func_def_71,type,
    aTP_Lamm_cs: real > fun_se2197967325210717499l_bool ).

tff(func_def_72,type,
    aTP_Lamm_ct: bool > fun_se689384475314470797l_bool ).

tff(func_def_73,type,
    aTP_Lamm_cu: int > fun_se6612071603986899387t_bool ).

tff(func_def_74,type,
    aTP_Lamm_cv: nat > fun_se680526843285281907t_bool ).

tff(func_def_75,type,
    aTP_Lamm_cw: complex > fun_se2973560062716774839x_bool ).

tff(func_def_76,type,
    aTP_Lamm_cx: product_prod_nat_nat > fun_se3305628495172992525t_bool ).

tff(func_def_77,type,
    aTP_Lamm_cy: set_nat > fun_se1925730536474940935t_bool ).

tff(func_def_78,type,
    aTP_Lamm_cz: list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_Pr1607443439640623155t_bool > fun_Pr124437560471516333t_bool ).

tff(func_def_80,type,
    aTP_Lamm_db: fun_complex_bool > fun_co1378794544173401837x_bool ).

tff(func_def_81,type,
    aTP_Lamm_dc: fun_set_nat_bool > fun_se707272970763642173t_bool ).

tff(func_def_82,type,
    aTP_Lamm_dd: fun_list_nat_bool > fun_li8598321315282354825t_bool ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_Pr7757163693017731481t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_84,type,
    aTP_Lamm_df: fun_bool_bool > fun_bo1841576699660343469l_bool ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_int_bool > fun_int_fun_int_bool ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_Pr1607443439640623155t_bool > fun_Pr124437560471516333t_bool ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_complex_bool > fun_co1378794544173401837x_bool ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_set_nat_bool > fun_se707272970763642173t_bool ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_list_nat_bool > fun_li8598321315282354825t_bool ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_Pr7757163693017731481t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_bool_bool > fun_bo1841576699660343469l_bool ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_int_bool > fun_int_fun_int_bool ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_complex_bool > fun_fu5204410621998794179x_bool ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_set_nat_bool > fun_fu7495562154832025027t_bool ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_list_nat_bool > fun_fu8303687057036190147t_bool ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_nat_bool > fun_fu3889889255038636099t_bool ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_Pr7757163693017731481t_bool > fun_fu6897202038601531823t_bool ).

tff(func_def_100,type,
    aTP_Lamm_dv: set_real > fun_se2197967325210717499l_bool ).

tff(func_def_101,type,
    aTP_Lamm_dw: set_bool > fun_se689384475314470797l_bool ).

tff(func_def_102,type,
    aTP_Lamm_dx: set_int > fun_se6612071603986899387t_bool ).

tff(func_def_103,type,
    aTP_Lamm_dy: set_complex > fun_se2973560062716774839x_bool ).

tff(func_def_104,type,
    aTP_Lamm_dz: set_set_nat > fun_se1925730536474940935t_bool ).

tff(func_def_105,type,
    aTP_Lamm_ea: set_list_nat > fun_se7035039998181355731t_bool ).

tff(func_def_106,type,
    aTP_Lamm_eb: set_nat > fun_se680526843285281907t_bool ).

tff(func_def_107,type,
    aTP_Lamm_ec: set_Pr1261947904930325089at_nat > fun_se3305628495172992525t_bool ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_109,type,
    aTP_Lamm_ee: set_complex > fun_na376774557589183419x_bool ).

tff(func_def_110,type,
    aTP_Lamm_ef: set_Pr1261947904930325089at_nat > fun_na5265545386895126880t_bool ).

tff(func_def_111,type,
    aTP_Lamm_eg: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).

tff(func_def_112,type,
    aTP_Lamm_eh: set_bool > fun_na205931550456536010l_bool ).

tff(func_def_113,type,
    aTP_Lamm_ei: set_int > fun_na7919044170365968317t_bool ).

tff(func_def_114,type,
    aTP_Lamm_ej: set_nat > fun_na5614638261385347865t_bool ).

tff(func_def_115,type,
    aTP_Lamm_ek: set_complex > fun_na376774557589183419x_bool ).

tff(func_def_116,type,
    aTP_Lamm_el: set_Pr1261947904930325089at_nat > fun_na5265545386895126880t_bool ).

tff(func_def_117,type,
    aTP_Lamm_em: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).

tff(func_def_118,type,
    aTP_Lamm_en: set_bool > fun_na205931550456536010l_bool ).

tff(func_def_119,type,
    aTP_Lamm_eo: set_int > fun_na7919044170365968317t_bool ).

tff(func_def_120,type,
    aTP_Lamm_ep: set_nat > fun_na5614638261385347865t_bool ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_fun_nat_bool ).

tff(func_def_122,type,
    aTP_Lamm_er: set_complex > fun_set_complex_bool ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_se1534075524646452397t_bool ).

tff(func_def_124,type,
    aTP_Lamm_et: set_nat > fun_set_nat_bool ).

tff(func_def_125,type,
    aTP_Lamm_eu: nat > fun_real_bool ).

tff(func_def_126,type,
    aTP_Lamm_ev: nat > fun_complex_bool ).

tff(func_def_127,type,
    aTP_Lamm_ew: nat > fun_co1378794544173401837x_bool ).

tff(func_def_128,type,
    aTP_Lamm_ex: set_real > fun_fu7376312551830202376l_bool ).

tff(func_def_129,type,
    aTP_Lamm_ey: set_real > fun_fu2568719150003003596l_bool ).

tff(func_def_130,type,
    aTP_Lamm_ez: set_bool > fun_fu2238024911088387052l_bool ).

tff(func_def_131,type,
    aTP_Lamm_fa: set_bool > fun_fu9084992954297690841l_bool ).

tff(func_def_132,type,
    aTP_Lamm_fb: set_int > fun_fu549321512867696136t_bool ).

tff(func_def_133,type,
    aTP_Lamm_fc: set_int > fun_fu3401574108658714444t_bool ).

tff(func_def_134,type,
    aTP_Lamm_fd: set_nat > fun_fu7195134416904984768t_bool ).

tff(func_def_135,type,
    aTP_Lamm_fe: set_nat > fun_fu8639250699203096928t_bool ).

tff(func_def_136,type,
    aTP_Lamm_ff: set_complex > fun_fu6356453956411242500x_bool ).

tff(func_def_137,type,
    aTP_Lamm_fg: set_complex > fun_fu5995210064384465734x_bool ).

tff(func_def_138,type,
    aTP_Lamm_fh: set_real > fun_fu2277326744902863452l_bool ).

tff(func_def_139,type,
    aTP_Lamm_fi: set_real > fun_fu6750725090257165812l_bool ).

tff(func_def_140,type,
    aTP_Lamm_fj: set_bool > fun_fu6678276313180071960l_bool ).

tff(func_def_141,type,
    aTP_Lamm_fk: set_bool > fun_fu8303122171908583641l_bool ).

tff(func_def_142,type,
    aTP_Lamm_fl: set_int > fun_fu337402001079966300t_bool ).

tff(func_def_143,type,
    aTP_Lamm_fm: set_int > fun_fu163127709195666036t_bool ).

tff(func_def_144,type,
    aTP_Lamm_fn: set_nat > fun_fu3052598110916186900t_bool ).

tff(func_def_145,type,
    aTP_Lamm_fo: set_nat > fun_fu2971308621445215880t_bool ).

tff(func_def_146,type,
    aTP_Lamm_fp: set_complex > fun_fu3810065756161129304x_bool ).

tff(func_def_147,type,
    aTP_Lamm_fq: set_complex > fun_fu9216119399439645550x_bool ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_co1378794544173401837x_bool ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_int_fun_int_bool ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_Co8310303586393106575r_bool ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_nat_fun_nat_bool ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_nat_fun_nat_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: num > fun_na4138050610385705875at_nat ).

tff(func_def_154,type,
    aTP_Lamm_fx: num > fun_in1696471567231710611nt_int ).

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

tff(func_def_156,type,
    aTP_Lamm_fz: fun_bool_bool > fun_fu4970875099359191043t_bool ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_bool_nat > fun_fu1660592803699026854at_nat ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_bool > fun_fu737869097161986712t_bool ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_nat_nat > fun_fu1217771548038759377at_nat ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_bo6148171183121378627t_bool > fun_fu5132082026026788591t_bool ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_na4827981024643048934t_bool > fun_fu5855118699552457754t_bool ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_fu5641360819561228055l_bool > fun_fu4959356912570239247t_bool ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_fu4450724535874491238ol_nat > fun_fu7993321427942571930at_nat ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_Pr2478283820680522243nt_int > fun_fu3898734532474705027nt_int ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_bo3682073979402284333at_nat > fun_fu5047582607593018841at_nat ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_Pr7757163693017731481t_bool > fun_nat_fun_nat_bool ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_Pr2602117396471556196at_nat > fun_nat_fun_nat_nat ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_Pr2477239776880934807at_nat > fun_na1668100129766719005at_nat ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_Pr248683899324676269t_bool > fun_na4786964484885125043t_bool ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_Pr2478283820680522243nt_int > fun_in1696471567231710611nt_int ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_complex_bool > fun_fu5204410621998794179x_bool ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_Pr7757163693017731481t_bool > fun_fu6897202038601531823t_bool ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_set_nat_bool > fun_fu7495562154832025027t_bool ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_list_nat_bool > fun_fu8303687057036190147t_bool ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_nat_bool > fun_fu3889889255038636099t_bool ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_Pr1607443439640623155t_bool > fun_fu224428745893945571t_bool ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_in1696471567231710611nt_int ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_na4138050610385705875at_nat ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_Co2470855966376689427nteger ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_in1696471567231710611nt_int ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_na4138050610385705875at_nat ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_Co2470855966376689427nteger ).

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

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

tff(func_def_185,type,
    aTP_Lamm_hc: fun_Pr7757163693017731481t_bool > fun_Pr7757163693017731481t_bool ).

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

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

tff(func_def_188,type,
    aTP_Lamm_hf: set_real > fun_real_bool ).

tff(func_def_189,type,
    aTP_Lamm_hg: set_bool > fun_bool_bool ).

tff(func_def_190,type,
    aTP_Lamm_hh: set_int > fun_int_bool ).

tff(func_def_191,type,
    aTP_Lamm_hi: set_nat > fun_nat_bool ).

tff(func_def_192,type,
    aTP_Lamm_hj: set_complex > fun_complex_bool ).

tff(func_def_193,type,
    aTP_Lamm_hk: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

tff(func_def_194,type,
    aTP_Lamm_hl: set_set_nat > fun_set_nat_bool ).

tff(func_def_195,type,
    aTP_Lamm_hm: set_list_nat > fun_list_nat_bool ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_na4138050610385705875at_nat ).

tff(func_def_197,type,
    aTP_Lamm_ho: bool > fun_fu4970875099359191043t_bool ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_nat_fun_nat_bool ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_na1142814060743658952omplex ).

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_fun_nat_rat ).

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_int ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_nat_fun_nat_nat ).

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

tff(func_def_205,type,
    aTP_Lamm_hw: real > fun_nat_real ).

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

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

tff(func_def_208,type,
    aTP_Lamm_hz: fun_nat_real > fun_nat_real ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_nat_real ).

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

tff(func_def_211,type,
    aTP_Lamm_ic: fun_nat_real > fun_nat_real ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_int_int > fun_int_int ).

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

tff(func_def_214,type,
    aTP_Lamm_if: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_nat_real > fun_nat_real ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_nat_real > fun_re4238438383274954274t_real ).

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

tff(func_def_225,type,
    aTP_Lamm_iq: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_226,type,
    aTP_Lamm_ir: fun_nat_complex > fun_co8378349014452122532t_real ).

tff(func_def_227,type,
    aTP_Lamm_is: fun_nat_nat > fun_nat_nat ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_nat_int > fun_nat_int ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_real > fun_na5225841814499866095t_real ).

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

tff(func_def_235,type,
    aTP_Lamm_ja: complex > fun_na1142814060743658952omplex ).

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

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

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

tff(func_def_239,type,
    aTP_Lamm_je: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_complex_bool > fun_fu709861064203714431x_real ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_complex_bool > fun_fu6638204120336560003ex_rat ).

tff(func_def_243,type,
    aTP_Lamm_ji: fun_complex_bool > fun_fu2513798379308225899ex_nat ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_complex_bool > fun_fu4692242605864086655ex_int ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_nat_bool > fun_fu6579618355643354601at_rat ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_nat_bool > fun_fu960360787657196261at_int ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_nat_bool > fun_fu5935951186182374353at_nat ).

tff(func_def_248,type,
    aTP_Lamm_jn: fun_complex_bool > fun_fu6919794090103715845omplex ).

tff(func_def_249,type,
    aTP_Lamm_jo: fun_nat_bool > fun_fu1620311477532340197t_real ).

tff(func_def_250,type,
    aTP_Lamm_jp: fun_int_bool > fun_fu5221552698205305849nt_int ).

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

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

tff(func_def_253,type,
    aTP_Lamm_js: fun_nat_rat > fun_nat_rat ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_nat_int > fun_nat_int ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_nat_real > fun_nat_real ).

tff(func_def_256,type,
    aTP_Lamm_jv: fun_co8153928105989009288nteger > fun_Co8416587583108374242nteger ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_co8153928105989009288nteger > fun_Co7124838579184476414x_bool ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_co8153928105989009288nteger > fun_Co7124838579184476414x_bool ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_nat_Code_integer > fun_Co6226381647958292740nteger ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_nat_Code_integer > fun_Co8657364630979331932t_bool ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_Code_integer > fun_Co8657364630979331932t_bool ).

tff(func_def_262,type,
    aTP_Lamm_kb: fun_complex_nat > fun_na8457291176974909128ex_nat ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_complex_nat > fun_na5941084329111710283x_bool ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_complex_nat > fun_na5941084329111710283x_bool ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_complex_int > fun_in3657390099950231424ex_int ).

tff(func_def_266,type,
    aTP_Lamm_kf: fun_complex_int > fun_in5750378413879446255x_bool ).

tff(func_def_267,type,
    aTP_Lamm_kg: fun_complex_int > fun_in5750378413879446255x_bool ).

tff(func_def_268,type,
    aTP_Lamm_kh: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_269,type,
    aTP_Lamm_ki: fun_nat_int > fun_int_fun_nat_bool ).

tff(func_def_270,type,
    aTP_Lamm_kj: fun_nat_int > fun_int_fun_nat_bool ).

tff(func_def_271,type,
    aTP_Lamm_kk: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_272,type,
    aTP_Lamm_kl: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_273,type,
    aTP_Lamm_km: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_274,type,
    aTP_Lamm_kn: fun_int_int > fun_int_fun_int_int ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_int_int > fun_int_fun_int_bool ).

tff(func_def_276,type,
    aTP_Lamm_kp: fun_int_int > fun_int_fun_int_bool ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_se7586849273513198688nteger > fun_Co4664883906889918906nteger ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_se7586849273513198688nteger > fun_Co5578011877475920934t_bool ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_se7586849273513198688nteger > fun_Co5578011877475920934t_bool ).

tff(func_def_280,type,
    aTP_Lamm_kt: fun_li3231056112175589690nteger > fun_Co4193813265255946772nteger ).

tff(func_def_281,type,
    aTP_Lamm_ku: fun_li3231056112175589690nteger > fun_Co8554863136687237708t_bool ).

tff(func_def_282,type,
    aTP_Lamm_kv: fun_li3231056112175589690nteger > fun_Co8554863136687237708t_bool ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_set_nat_nat > fun_na106483476154090400at_nat ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_set_nat_nat > fun_na5042103099923536755t_bool ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_set_nat_nat > fun_na5042103099923536755t_bool ).

tff(func_def_286,type,
    aTP_Lamm_kz: real > fun_fu9132278742410140537l_real ).

tff(func_def_287,type,
    aTP_Lamm_la: complex > fun_fu709861064203714431x_real ).

tff(func_def_288,type,
    aTP_Lamm_lb: real > fun_fu7187499828406537085al_rat ).

tff(func_def_289,type,
    aTP_Lamm_lc: complex > fun_fu6638204120336560003ex_rat ).

tff(func_def_290,type,
    aTP_Lamm_ld: real > fun_fu3768230810189712741al_nat ).

tff(func_def_291,type,
    aTP_Lamm_le: complex > fun_fu2513798379308225899ex_nat ).

tff(func_def_292,type,
    aTP_Lamm_lf: real > fun_fu5645595436833112697al_int ).

tff(func_def_293,type,
    aTP_Lamm_lg: complex > fun_fu4692242605864086655ex_int ).

tff(func_def_294,type,
    aTP_Lamm_lh: bool > fun_fu3777146598159127724l_real ).

tff(func_def_295,type,
    aTP_Lamm_li: bool > fun_fu6757280373297557336ol_rat ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_bo7282069421189217543nteger > fun_fu624093908337759363nteger ).

tff(func_def_300,type,
    aTP_Lamm_ln: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_304,type,
    aTP_Lamm_lr: fun_bool_real > fun_fu4678014405698904899l_real ).

tff(func_def_305,type,
    aTP_Lamm_ls: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_complex_rat > fun_fu2990765671291504771ex_rat ).

tff(func_def_307,type,
    aTP_Lamm_lu: real > fun_fu7631928937237476593t_real ).

tff(func_def_308,type,
    aTP_Lamm_lv: fun_nat_rat > fun_nat_rat ).

tff(func_def_309,type,
    aTP_Lamm_lw: fun_nat_int > fun_nat_int ).

tff(func_def_310,type,
    aTP_Lamm_lx: fun_nat_real > fun_nat_real ).

tff(func_def_311,type,
    aTP_Lamm_ly: fun_nat_rat > fun_nat_rat ).

tff(func_def_312,type,
    aTP_Lamm_lz: fun_nat_int > fun_nat_int ).

tff(func_def_313,type,
    aTP_Lamm_ma: fun_nat_real > fun_nat_real ).

tff(func_def_314,type,
    aTP_Lamm_mb: fun_nat_fun_nat_bool ).

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_rat > fun_nat_rat ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_nat_int > fun_nat_int ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_nat_nat > fun_nat_nat ).

tff(func_def_318,type,
    aTP_Lamm_mf: fun_nat_real > fun_nat_real ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_nat_nat ).

tff(func_def_320,type,
    aTP_Lamm_mh: complex > fun_co3258106519541737638omplex ).

tff(func_def_321,type,
    aTP_Lamm_mi: rat > fun_rat_fun_nat_rat ).

tff(func_def_322,type,
    aTP_Lamm_mj: int > fun_int_fun_nat_int ).

tff(func_def_323,type,
    aTP_Lamm_mk: nat > fun_nat_fun_nat_nat ).

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

tff(func_def_325,type,
    aTP_Lamm_mm: nat > fun_nat_fun_nat_nat ).

tff(func_def_326,type,
    aTP_Lamm_mn: complex > fun_co6883864892131739507omplex ).

tff(func_def_327,type,
    aTP_Lamm_mo: complex > fun_co6883864892131739507omplex ).

tff(func_def_328,type,
    aTP_Lamm_mp: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_329,type,
    aTP_Lamm_mq: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_330,type,
    aTP_Lamm_mr: real > fun_re4756235295228751087t_real ).

tff(func_def_331,type,
    aTP_Lamm_ms: real > fun_re4756235295228751087t_real ).

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

tff(func_def_333,type,
    aTP_Lamm_mu: complex > fun_nat_complex ).

tff(func_def_334,type,
    aTP_Lamm_mv: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_335,type,
    aTP_Lamm_mw: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_336,type,
    aTP_Lamm_mx: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_337,type,
    aTP_Lamm_my: fun_bool_nat > fun_fu560003646518074819ol_nat ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_339,type,
    aTP_Lamm_na: nat > fun_fu6899955116716589935t_real ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_342,type,
    aTP_Lamm_nd: fun_complex_complex ).

tff(func_def_343,type,
    aTP_Lamm_ne: nat > fun_co3258106519541737638omplex ).

tff(func_def_344,type,
    aTP_Lamm_nf: nat > fun_re4238438383274954274t_real ).

tff(func_def_345,type,
    aTP_Lamm_ng: nat > fun_int_fun_nat_int ).

tff(func_def_346,type,
    aTP_Lamm_nh: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: fun_nat_real > fun_se2100927751953696370t_real ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_nat_rat > fun_nat_rat ).

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

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

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

tff(func_def_352,type,
    aTP_Lamm_nn: complex > fun_co6883864892131739507omplex ).

tff(func_def_353,type,
    aTP_Lamm_no: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_354,type,
    aTP_Lamm_np: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_355,type,
    aTP_Lamm_nq: int > fun_in6793278964266839919at_int ).

tff(func_def_356,type,
    aTP_Lamm_nr: int > fun_in6793278964266839919at_int ).

tff(func_def_357,type,
    aTP_Lamm_ns: real > fun_re4756235295228751087t_real ).

tff(func_def_358,type,
    aTP_Lamm_nt: real > fun_re4756235295228751087t_real ).

tff(func_def_359,type,
    aTP_Lamm_nu: complex > fun_na6632006986671646835omplex ).

tff(func_def_360,type,
    aTP_Lamm_nv: rat > fun_na1148497095348402375at_rat ).

tff(func_def_361,type,
    aTP_Lamm_nw: int > fun_na2382631619178260847at_int ).

tff(func_def_362,type,
    aTP_Lamm_nx: real > fun_na5225841814499866095t_real ).

tff(func_def_363,type,
    aTP_Lamm_ny: complex > fun_na6632006986671646835omplex ).

tff(func_def_364,type,
    aTP_Lamm_nz: rat > fun_na1148497095348402375at_rat ).

tff(func_def_365,type,
    aTP_Lamm_oa: int > fun_na2382631619178260847at_int ).

tff(func_def_366,type,
    aTP_Lamm_ob: real > fun_na5225841814499866095t_real ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_nat_real ).

tff(func_def_368,type,
    aTP_Lamm_od: complex > fun_na1142814060743658952omplex ).

tff(func_def_369,type,
    aTP_Lamm_oe: rat > fun_nat_fun_nat_rat ).

tff(func_def_370,type,
    aTP_Lamm_of: int > fun_nat_fun_nat_int ).

tff(func_def_371,type,
    aTP_Lamm_og: real > fun_nat_fun_nat_real ).

tff(func_def_372,type,
    aTP_Lamm_oh: fun_nat_real > fun_nat_real ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_375,type,
    aTP_Lamm_ok: fun_nat_real > fun_nat_real ).

tff(func_def_376,type,
    aTP_Lamm_ol: fun_nat_real > fun_nat_real ).

tff(func_def_377,type,
    aTP_Lamm_om: fun_int_int ).

tff(func_def_378,type,
    aTP_Lamm_on: fun_nat_real ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_382,type,
    aTP_Lamm_or: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_383,type,
    aTP_Lamm_os: real > fun_fu6899955116716589935t_real ).

tff(func_def_384,type,
    aTP_Lamm_ot: complex > fun_fu40286998686754419omplex ).

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

tff(func_def_386,type,
    aTP_Lamm_ov: real > fun_nat_real ).

tff(func_def_387,type,
    aTP_Lamm_ow: real > fun_fu4063443379060642216t_real ).

tff(func_def_388,type,
    aTP_Lamm_ox: real > fun_fu5589980185390252312t_real ).

tff(func_def_389,type,
    aTP_Lamm_oy: real > fun_fu4806068833880117316t_real ).

tff(func_def_390,type,
    aTP_Lamm_oz: real > fun_fu2115079063411676732t_real ).

tff(func_def_391,type,
    aTP_Lamm_pa: real > fun_fu4540635375566031512t_real ).

tff(func_def_392,type,
    aTP_Lamm_pb: real > fun_fu6899955116716589935t_real ).

tff(func_def_393,type,
    aTP_Lamm_pc: real > fun_nat_real ).

tff(func_def_394,type,
    aTP_Lamm_pd: real > fun_nat_real ).

tff(func_def_395,type,
    aTP_Lamm_pe: real > fun_nat_real ).

tff(func_def_396,type,
    aTP_Lamm_pf: fun_complex_complex ).

tff(func_def_397,type,
    aTP_Lamm_pg: fun_rat_rat ).

tff(func_def_398,type,
    aTP_Lamm_ph: fun_real_real ).

tff(func_def_399,type,
    aTP_Lamm_pi: fun_int_int ).

tff(func_def_400,type,
    aTP_Lamm_pj: fun_nat_nat ).

tff(func_def_401,type,
    aTP_Lamm_pk: complex > fun_nat_complex ).

tff(func_def_402,type,
    aTP_Lamm_pl: rat > fun_nat_rat ).

tff(func_def_403,type,
    aTP_Lamm_pm: real > fun_nat_real ).

tff(func_def_404,type,
    aTP_Lamm_pn: nat > fun_nat_complex ).

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

tff(func_def_406,type,
    aTP_Lamm_pp: fun_nat_fun_nat_real ).

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

tff(func_def_408,type,
    aTP_Lamm_pr: rat > fun_nat_rat ).

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

tff(func_def_410,type,
    aTP_Lamm_pt: complex > fun_na1591161823130732966omplex ).

tff(func_def_411,type,
    aTP_Lamm_pu: rat > fun_nat_fun_rat_rat ).

tff(func_def_412,type,
    aTP_Lamm_pv: real > fun_na6724076748692969250l_real ).

tff(func_def_413,type,
    aTP_Lamm_pw: int > fun_nat_fun_int_int ).

tff(func_def_414,type,
    aTP_Lamm_px: nat > fun_nat_fun_nat_nat ).

tff(func_def_415,type,
    aTP_Lamm_py: nat > fun_nat_complex ).

tff(func_def_416,type,
    aTP_Lamm_pz: nat > fun_nat_rat ).

tff(func_def_417,type,
    aTP_Lamm_qa: fun_nat_fun_nat_int ).

tff(func_def_418,type,
    aTP_Lamm_qb: fun_nat_fun_nat_real ).

tff(func_def_419,type,
    aTP_Lamm_qc: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_421,type,
    aTP_Lamm_qe: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_422,type,
    aTP_Lamm_qf: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_423,type,
    aTP_Lamm_qg: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_424,type,
    aTP_Lamm_qh: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_425,type,
    aTP_Lamm_qi: fun_nat_fun_nat_int > fun_nat_int ).

tff(func_def_426,type,
    aTP_Lamm_qj: fun_nat_fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_427,type,
    aTP_Lamm_qk: fun_nat_fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_rat_fun_rat_bool ).

tff(func_def_429,type,
    aTP_Lamm_qm: fun_num_fun_num_bool ).

tff(func_def_430,type,
    aTP_Lamm_qn: fun_int_fun_int_bool ).

tff(func_def_431,type,
    aTP_Lamm_qo: real > fun_fu3106432010075488275t_real ).

tff(func_def_432,type,
    aTP_Lamm_qp: complex > fun_fu4781654129426620053omplex ).

tff(func_def_433,type,
    aTP_Lamm_qq: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_434,type,
    aTP_Lamm_qr: int > fun_fu4512855384587262995at_int ).

tff(func_def_435,type,
    aTP_Lamm_qs: int > fun_fu6415725884910174923nt_int ).

tff(func_def_436,type,
    aTP_Lamm_qt: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_437,type,
    aTP_Lamm_qu: fun_nat_real > fun_nat_real ).

tff(func_def_438,type,
    aTP_Lamm_qv: fun_nat_rat > fun_nat_rat ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_nat_nat > fun_nat_nat ).

tff(func_def_440,type,
    aTP_Lamm_qx: fun_nat_int > fun_nat_int ).

tff(func_def_441,type,
    aTP_Lamm_qy: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_nat_int > fun_na7654559027617327379at_int ).

tff(func_def_443,type,
    aTP_Lamm_ra: nat > fun_fu3593947265352647275omplex ).

tff(func_def_444,type,
    aTP_Lamm_rb: nat > fun_fu3593947265352647275omplex ).

tff(func_def_445,type,
    aTP_Lamm_rc: nat > fun_fu1620311477532340197t_real ).

tff(func_def_446,type,
    aTP_Lamm_rd: nat > fun_fu1620311477532340197t_real ).

tff(func_def_447,type,
    aTP_Lamm_re: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_448,type,
    aTP_Lamm_rf: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_449,type,
    aTP_Lamm_rg: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_450,type,
    aTP_Lamm_rh: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_451,type,
    aTP_Lamm_ri: nat > fun_fu960360787657196261at_int ).

tff(func_def_452,type,
    aTP_Lamm_rj: nat > fun_fu960360787657196261at_int ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_nat_fun_nat_nat ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_456,type,
    aTP_Lamm_rn: fun_nat_fun_nat_real > fun_nat_real ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_nat_fun_nat_nat ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_nat_fun_nat_nat ).

tff(func_def_461,type,
    aTP_Lamm_rs: int > fun_fu4328765270694171897t_real ).

tff(func_def_462,type,
    aTP_Lamm_rt: nat > fun_fu1620311477532340197t_real ).

tff(func_def_463,type,
    aTP_Lamm_ru: int > fun_fu1617438229336688381nt_rat ).

tff(func_def_464,type,
    aTP_Lamm_rv: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_465,type,
    aTP_Lamm_rw: complex > fun_nat_complex ).

tff(func_def_466,type,
    aTP_Lamm_rx: rat > fun_nat_rat ).

tff(func_def_467,type,
    aTP_Lamm_ry: real > fun_nat_real ).

tff(func_def_468,type,
    aTP_Lamm_rz: nat > fun_nat_fun_nat_bool ).

tff(func_def_469,type,
    aTP_Lamm_sa: fun_nat_fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_nat_fun_nat_nat > fun_nat_nat ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_nat_fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_472,type,
    aTP_Lamm_sd: fun_nat_fun_nat_real > fun_nat_real ).

tff(func_def_473,type,
    aTP_Lamm_se: nat > fun_nat_fun_nat_nat ).

tff(func_def_474,type,
    aTP_Lamm_sf: nat > fun_na3244735409550470327at_nat ).

tff(func_def_475,type,
    aTP_Lamm_sg: fun_nat_complex > fun_na5941084329111710283x_bool ).

tff(func_def_476,type,
    aTP_Lamm_sh: fun_nat_real > fun_na6801867027684862029l_bool ).

tff(func_def_477,type,
    aTP_Lamm_si: rat > fun_nat_rat ).

tff(func_def_478,type,
    aTP_Lamm_sj: real > fun_nat_real ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_nat_fun_nat_nat ).

tff(func_def_480,type,
    aTP_Lamm_sl: int > fun_nat_int ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_483,type,
    aTP_Lamm_so: rat > fun_nat_fun_nat_rat ).

tff(func_def_484,type,
    aTP_Lamm_sp: real > fun_nat_fun_nat_real ).

tff(func_def_485,type,
    aTP_Lamm_sq: nat > fun_nat_fun_nat_nat ).

tff(func_def_486,type,
    aTP_Lamm_sr: int > fun_nat_fun_nat_int ).

tff(func_def_487,type,
    aTP_Lamm_ss: nat > fun_nat_fun_nat_bool ).

tff(func_def_488,type,
    aTP_Lamm_st: nat > fun_na3244735409550470327at_nat ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_490,type,
    aTP_Lamm_sv: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_491,type,
    aTP_Lamm_sw: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_nat_complex > fun_fu4528473944208963392omplex ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_nat_complex > fun_fu6652553491520710942omplex ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_nat_rat > fun_fu6228432884689642900at_rat ).

tff(func_def_496,type,
    aTP_Lamm_tb: fun_nat_rat > fun_fu4710970720072501148at_rat ).

tff(func_def_497,type,
    aTP_Lamm_tc: fun_nat_int > fun_fu1567874110255095356at_int ).

tff(func_def_498,type,
    aTP_Lamm_td: fun_nat_int > fun_fu5519318738670804632at_int ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_nat_real > fun_fu8064956510386623256t_real ).

tff(func_def_501,type,
    aTP_Lamm_tg: complex > fun_nat_complex ).

tff(func_def_502,type,
    aTP_Lamm_th: rat > fun_nat_rat ).

tff(func_def_503,type,
    aTP_Lamm_ti: real > fun_nat_real ).

tff(func_def_504,type,
    aTP_Lamm_tj: complex > fun_co6883864892131739507omplex ).

tff(func_def_505,type,
    aTP_Lamm_tk: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_506,type,
    aTP_Lamm_tl: int > fun_in6793278964266839919at_int ).

tff(func_def_507,type,
    aTP_Lamm_tm: real > fun_re4756235295228751087t_real ).

tff(func_def_508,type,
    aTP_Lamm_tn: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_509,type,
    aTP_Lamm_to: int > fun_in6793278964266839919at_int ).

tff(func_def_510,type,
    aTP_Lamm_tp: real > fun_re4756235295228751087t_real ).

tff(func_def_511,type,
    aTP_Lamm_tq: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_512,type,
    aTP_Lamm_tr: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_513,type,
    aTP_Lamm_ts: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_514,type,
    aTP_Lamm_tt: fun_nat_fun_nat_nat ).

tff(func_def_515,type,
    aTP_Lamm_tu: complex > fun_nat_complex ).

tff(func_def_516,type,
    aTP_Lamm_tv: rat > fun_nat_rat ).

tff(func_def_517,type,
    aTP_Lamm_tw: real > fun_nat_real ).

tff(func_def_518,type,
    aTP_Lamm_tx: fun_nat_fun_nat_nat ).

tff(func_def_519,type,
    aTP_Lamm_ty: int > fun_nat_int ).

tff(func_def_520,type,
    aTP_Lamm_tz: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_521,type,
    aTP_Lamm_ua: nat > fun_fu960360787657196261at_int ).

tff(func_def_522,type,
    aTP_Lamm_ub: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_523,type,
    aTP_Lamm_uc: nat > fun_fu1620311477532340197t_real ).

tff(func_def_524,type,
    aTP_Lamm_ud: nat > fun_co3732688428756473980omplex ).

tff(func_def_525,type,
    aTP_Lamm_ue: nat > fun_co3732688428756473980omplex ).

tff(func_def_526,type,
    aTP_Lamm_uf: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_527,type,
    aTP_Lamm_ug: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_528,type,
    aTP_Lamm_uh: nat > fun_re6135230694098607860t_real ).

tff(func_def_529,type,
    aTP_Lamm_ui: nat > fun_re6135230694098607860t_real ).

tff(func_def_530,type,
    aTP_Lamm_uj: nat > fun_in1521351555827773387at_int ).

tff(func_def_531,type,
    aTP_Lamm_uk: nat > fun_co6147893885205795665omplex ).

tff(func_def_532,type,
    aTP_Lamm_ul: nat > fun_Co8502721031311864414nteger ).

tff(func_def_533,type,
    aTP_Lamm_um: nat > fun_ra3995598502166916815at_rat ).

tff(func_def_534,type,
    aTP_Lamm_un: nat > fun_re8542384036533109323t_real ).

tff(func_def_535,type,
    aTP_Lamm_uo: nat > fun_nat_complex ).

tff(func_def_536,type,
    aTP_Lamm_up: nat > fun_nat_Code_integer ).

tff(func_def_537,type,
    aTP_Lamm_uq: nat > fun_nat_rat ).

tff(func_def_538,type,
    aTP_Lamm_ur: fun_nat_fun_nat_int ).

tff(func_def_539,type,
    aTP_Lamm_us: fun_nat_fun_nat_real ).

tff(func_def_540,type,
    aTP_Lamm_ut: nat > fun_nat_complex ).

tff(func_def_541,type,
    aTP_Lamm_uu: nat > fun_nat_rat ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_nat_fun_nat_real ).

tff(func_def_543,type,
    aTP_Lamm_uw: nat > fun_co3732688428756473980omplex ).

tff(func_def_544,type,
    aTP_Lamm_ux: nat > fun_ra8505079968215247908at_rat ).

tff(func_def_545,type,
    aTP_Lamm_uy: nat > fun_re6135230694098607860t_real ).

tff(func_def_546,type,
    aTP_Lamm_uz: fun_nat_complex > fun_co3194742168270691230omplex ).

tff(func_def_547,type,
    aTP_Lamm_va: nat > fun_fu1584491925252458057omplex ).

tff(func_def_548,type,
    aTP_Lamm_vb: fun_nat_rat > fun_ra2740371568465858076at_rat ).

tff(func_def_549,type,
    aTP_Lamm_vc: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_nat_int > fun_in281396392327853336at_int ).

tff(func_def_551,type,
    aTP_Lamm_ve: nat > fun_fu4902120768161409089at_int ).

tff(func_def_552,type,
    aTP_Lamm_vf: fun_nat_real > fun_re7819166435457029784t_real ).

tff(func_def_553,type,
    aTP_Lamm_vg: nat > fun_fu6810213084838398785t_real ).

tff(func_def_554,type,
    aTP_Lamm_vh: fun_nat_fun_nat_nat ).

tff(func_def_555,type,
    aTP_Lamm_vi: nat > fun_nat_rat ).

tff(func_def_556,type,
    aTP_Lamm_vj: fun_nat_fun_nat_int ).

tff(func_def_557,type,
    aTP_Lamm_vk: fun_nat_fun_nat_real ).

tff(func_def_558,type,
    aTP_Lamm_vl: fun_re1255401033344146673l_bool ).

tff(func_def_559,type,
    aTP_Lamm_vm: fun_re1255401033344146673l_bool ).

tff(func_def_560,type,
    aTP_Lamm_vn: fun_real_bool ).

tff(func_def_561,type,
    aTP_Lamm_vo: nat > fun_nat_complex ).

tff(func_def_562,type,
    aTP_Lamm_vp: complex > fun_na5941084329111710283x_bool ).

tff(func_def_563,type,
    aTP_Lamm_vq: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_564,type,
    aTP_Lamm_vr: fun_nat_bool ).

tff(func_def_565,type,
    aTP_Lamm_vs: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_566,type,
    aTP_Lamm_vt: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_567,type,
    aTP_Lamm_vu: fun_nat_fun_nat_nat ).

tff(func_def_568,type,
    aTP_Lamm_vv: fun_nat_fun_nat_nat ).

tff(func_def_569,type,
    aTP_Lamm_vw: fun_Co8521658056209057742er_num ).

tff(func_def_570,type,
    aTP_Lamm_vx: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_571,type,
    aTP_Lamm_vy: fun_Co3583066429914935172er_nat ).

tff(func_def_572,type,
    aTP_Lamm_vz: fun_Co1092983284983208416er_int ).

tff(func_def_573,type,
    aTP_Lamm_wa: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_574,type,
    aTP_Lamm_wb: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_575,type,
    aTP_Lamm_wc: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_576,type,
    aTP_Lamm_wd: nat > fun_na4143055713577223196at_nat ).

tff(func_def_577,type,
    aTP_Lamm_we: fun_na1668100129766719005at_nat ).

tff(func_def_578,type,
    aTP_Lamm_wf: fun_na4138050610385705875at_nat ).

tff(func_def_579,type,
    aTP_Lamm_wg: nat > fun_na3408937105440547634t_bool ).

tff(func_def_580,type,
    aTP_Lamm_wh: fun_na4786964484885125043t_bool ).

tff(func_def_581,type,
    aTP_Lamm_wi: nat > fun_na3408937105440547634t_bool ).

tff(func_def_582,type,
    aTP_Lamm_wj: fun_na4786964484885125043t_bool ).

tff(func_def_583,type,
    aTP_Lamm_wk: nat > fun_na4143055713577223196at_nat ).

tff(func_def_584,type,
    aTP_Lamm_wl: fun_na1668100129766719005at_nat ).

tff(func_def_585,type,
    aTP_Lamm_wm: nat > fun_na4143055713577223196at_nat ).

tff(func_def_586,type,
    aTP_Lamm_wn: fun_na1668100129766719005at_nat ).

tff(func_def_587,type,
    aTP_Lamm_wo: fun_nat_fun_nat_bool ).

tff(func_def_588,type,
    aTP_Lamm_wp: num > fun_num_int ).

tff(func_def_589,type,
    aTP_Lamm_wq: fun_nat_fun_nat_nat ).

tff(func_def_590,type,
    aTP_Lamm_wr: fun_nat_option_num ).

tff(func_def_591,type,
    aTP_Lamm_ws: fun_num_option_num ).

tff(func_def_592,type,
    aTP_Lamm_wt: fun_num_option_num ).

tff(func_def_593,type,
    aTP_Lamm_wu: num > fun_nat_option_num ).

tff(func_def_594,type,
    aTP_Lamm_wv: num > fun_nat_option_num ).

tff(func_def_595,type,
    aTP_Lamm_ww: nat > fun_num_option_num ).

tff(func_def_596,type,
    aTP_Lamm_wx: nat > fun_num_option_num ).

tff(func_def_597,type,
    aTP_Lamm_wy: num > fun_nat_option_num ).

tff(func_def_598,type,
    aTP_Lamm_wz: fun_na7595719129879163854on_num ).

tff(func_def_599,type,
    aTP_Lamm_xa: fun_na6724076748692969250l_real ).

tff(func_def_600,type,
    aTP_Lamm_xb: fun_na6724076748692969250l_real ).

tff(func_def_601,type,
    aTP_Lamm_xc: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_602,type,
    aTP_Lamm_xd: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_603,type,
    aTP_Lamm_xe: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_604,type,
    aTP_Lamm_xf: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_605,type,
    aTP_Lamm_xg: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_606,type,
    aTP_Lamm_xh: nat > fun_fu3612569900928539882l_real ).

tff(func_def_607,type,
    aTP_Lamm_xi: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_608,type,
    aTP_Lamm_xj: fun_real_real ).

tff(func_def_609,type,
    aTP_Lamm_xk: real > fun_nat_real ).

tff(func_def_610,type,
    aTP_Lamm_xl: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_611,type,
    aTP_Lamm_xm: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_612,type,
    aTP_Lamm_xn: fun_nat_real > fun_real_real ).

tff(func_def_613,type,
    aTP_Lamm_xo: fun_real_real ).

tff(func_def_614,type,
    aTP_Lamm_xp: fun_nat_real > fun_nat_real ).

tff(func_def_615,type,
    aTP_Lamm_xq: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_616,type,
    aTP_Lamm_xr: fun_nat_real > fun_nat_real ).

tff(func_def_617,type,
    aTP_Lamm_xs: fun_nat_real ).

tff(func_def_618,type,
    aTP_Lamm_xt: real > fun_nat_real ).

tff(func_def_619,type,
    aTP_Lamm_xu: real > fun_re4238438383274954274t_real ).

tff(func_def_620,type,
    aTP_Lamm_xv: real > fun_nat_real ).

tff(func_def_621,type,
    aTP_Lamm_xw: real > fun_nat_real ).

tff(func_def_622,type,
    aTP_Lamm_xx: real > fun_nat_real ).

tff(func_def_623,type,
    aTP_Lamm_xy: real > fun_nat_real ).

tff(func_def_624,type,
    aTP_Lamm_xz: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_625,type,
    aTP_Lamm_ya: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_626,type,
    aTP_Lamm_yb: fun_nat_real > fun_nat_real ).

tff(func_def_627,type,
    aTP_Lamm_yc: fun_nat_real > fun_nat_real ).

tff(func_def_628,type,
    aTP_Lamm_yd: fun_nat_real > fun_nat_real ).

tff(func_def_629,type,
    aTP_Lamm_ye: fun_na6724076748692969250l_real ).

tff(func_def_630,type,
    aTP_Lamm_yf: nat > fun_fu3077872570260440615l_real ).

tff(func_def_631,type,
    aTP_Lamm_yg: fun_in1696471567231710611nt_int ).

tff(func_def_632,type,
    aTP_Lamm_yh: int > fun_in2204242111582549184nt_int ).

tff(func_def_633,type,
    aTP_Lamm_yi: rat > fun_in1696471567231710611nt_int ).

tff(func_def_634,type,
    aTP_Lamm_yj: int > fun_in2204242111582549184nt_int ).

tff(func_def_635,type,
    aTP_Lamm_yk: rat > fun_in1696471567231710611nt_int ).

tff(func_def_636,type,
    aTP_Lamm_yl: int > fun_in2204242111582549184nt_int ).

tff(func_def_637,type,
    aTP_Lamm_ym: rat > fun_in1696471567231710611nt_int ).

tff(func_def_638,type,
    aTP_Lamm_yn: int > fun_in2204242111582549184nt_int ).

tff(func_def_639,type,
    aTP_Lamm_yo: rat > fun_in1696471567231710611nt_int ).

tff(func_def_640,type,
    aTP_Lamm_yp: fun_in1696471567231710611nt_int ).

tff(func_def_641,type,
    aTP_Lamm_yq: fun_in1696471567231710611nt_int ).

tff(func_def_642,type,
    aTP_Lamm_yr: fun_nat_set_nat ).

tff(func_def_643,type,
    aTP_Lamm_ys: fun_nat_bool > fun_nat_bool ).

tff(func_def_644,type,
    aTP_Lamm_yt: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_645,type,
    aTP_Lamm_yu: nat > fun_nat_fun_nat_bool ).

tff(func_def_646,type,
    aTP_Lamm_yv: nat > fun_li8232715659020003717t_bool ).

tff(func_def_647,type,
    aTP_Lamm_yw: fun_nat_fun_nat_nat ).

tff(func_def_648,type,
    aTP_Lamm_yx: fun_nat_fun_nat_nat ).

tff(func_def_649,type,
    aTP_Lamm_yy: fun_nat_fun_nat_nat ).

tff(func_def_650,type,
    aTP_Lamm_yz: fun_nat_nat ).

tff(func_def_651,type,
    aTP_Lamm_za: nat > fun_na5614638261385347865t_bool ).

tff(func_def_652,type,
    aTP_Lamm_zb: nat > fun_na5614638261385347865t_bool ).

tff(func_def_653,type,
    aTP_Lamm_zc: nat > fun_na5614638261385347865t_bool ).

tff(func_def_654,type,
    aTP_Lamm_zd: fun_nat_fun_nat_nat ).

tff(func_def_655,type,
    aTP_Lamm_ze: fun_nat_fun_nat_nat ).

tff(func_def_656,type,
    aTP_Lamm_zf: nat > fun_nat_fun_nat_bool ).

tff(func_def_657,type,
    aTP_Lamm_zg: nat > fun_nat_set_nat ).

tff(func_def_658,type,
    aTP_Lamm_zh: nat > fun_nat_set_nat ).

tff(func_def_659,type,
    aTP_Lamm_zi: nat > fun_nat_set_nat ).

tff(func_def_660,type,
    aTP_Lamm_zj: fun_Pr2478283820680522243nt_int ).

tff(func_def_661,type,
    aTP_Lamm_zk: fun_Pr2478283820680522243nt_int ).

tff(func_def_662,type,
    aTP_Lamm_zl: fun_Pr1308109350235310159nt_int ).

tff(func_def_663,type,
    aTP_Lamm_zm: fun_num_fun_num_int ).

tff(func_def_664,type,
    aTP_Lamm_zn: fun_in1696471567231710611nt_int ).

tff(func_def_665,type,
    aTP_Lamm_zo: fun_Pr1308109350235310159nt_int ).

tff(func_def_666,type,
    aTP_Lamm_zp: fun_na1476630412504255114at_nat ).

tff(func_def_667,type,
    aTP_Lamm_zq: nat > fun_na3408937105440547634t_bool ).

tff(func_def_668,type,
    aTP_Lamm_zr: fun_na4786964484885125043t_bool ).

tff(func_def_669,type,
    aTP_Lamm_zs: extended_enat > fun_nat_bool ).

tff(func_def_670,type,
    aTP_Lamm_zt: fun_na819858167508000762st_nat ).

tff(func_def_671,type,
    aTP_Lamm_zu: real > fun_re8658731967611918585t_real ).

tff(func_def_672,type,
    aTP_Lamm_zv: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_673,type,
    aTP_Lamm_zw: nat > fun_na8797796813480665199d_enat ).

tff(func_def_674,type,
    aTP_Lamm_zx: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_675,type,
    aTP_Lamm_zy: fun_na8797796813480665199d_enat ).

tff(func_def_676,type,
    aTP_Lamm_zz: fun_fun_nat_rat_bool ).

tff(func_def_677,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_678,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_679,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_680,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_681,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_682,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_683,type,
    bNF_Cardinal_ctwo: set_Pr8621012493645324487l_bool ).

tff(func_def_684,type,
    bNF_Ca1500629177841160323o_bool: set_Pr8621012493645324487l_bool ).

tff(func_def_685,type,
    bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_686,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_687,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_688,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_689,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_690,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_691,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_692,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_693,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_694,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_695,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_696,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_697,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_698,type,
    bNF_We9067914441000329236l_bool: set_Pr4407170740510854343l_bool ).

tff(func_def_699,type,
    bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_700,type,
    bNF_We6144460630316186525ol_nat: set_Pr2764432955389651297at_nat ).

tff(func_def_701,type,
    bNF_We3818239936649020644el_nat: fun_se8074476271188067385t_bool ).

tff(func_def_702,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_703,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_704,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_705,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_706,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_707,type,
    gbinomial_real: real > fun_nat_real ).

tff(func_def_708,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_709,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_710,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_711,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_712,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_713,type,
    bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_714,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_715,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_716,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_717,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_718,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_719,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_720,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_721,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_722,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_723,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_724,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_725,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_726,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_727,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_728,type,
    bit_se1080825931792720795nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_729,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_730,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_731,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_732,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_733,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_734,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_735,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_736,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_737,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_738,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_739,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_740,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_741,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_742,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_743,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_744,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_745,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_746,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_747,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_748,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option_num ).

tff(func_def_749,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_750,type,
    bit_un2480387367778600638or_num: ( num * num ) > option_num ).

tff(func_def_751,type,
    bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_752,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_753,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_754,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_755,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_756,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_757,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_758,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_759,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_760,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_761,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_762,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_763,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_764,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_765,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_766,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_767,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_768,type,
    code_Target_negative: fun_num_int ).

tff(func_def_769,type,
    code_Target_positive: fun_num_int ).

tff(func_def_770,type,
    complete_Inf_Inf_nat: fun_set_nat_nat ).

tff(func_def_771,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_772,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_773,type,
    arg: fun_complex_real ).

tff(func_def_774,type,
    cis: fun_real_complex ).

tff(func_def_775,type,
    cnj: fun_complex_complex ).

tff(func_def_776,type,
    complex2: real > fun_real_complex ).

tff(func_def_777,type,
    im: fun_complex_real ).

tff(func_def_778,type,
    re: fun_complex_real ).

tff(func_def_779,type,
    csqrt: fun_complex_complex ).

tff(func_def_780,type,
    imaginary_unit: complex ).

tff(func_def_781,type,
    rcis: real > fun_real_complex ).

tff(func_def_782,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_783,type,
    adjust_mod: fun_int_fun_int_int ).

tff(func_def_784,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_785,type,
    eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_786,type,
    unique6319869463603278526ux_int: fun_Pr803113274115125473t_bool ).

tff(func_def_787,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_788,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_789,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_790,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_791,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_792,type,
    unique5024387138958732305ep_int: num > fun_Pr2478283820680522243nt_int ).

tff(func_def_793,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_794,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_795,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_796,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_797,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_798,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_799,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_800,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_801,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_802,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_803,type,
    comm_s7457072308508201937r_real: real > fun_nat_real ).

tff(func_def_804,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_805,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_806,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_807,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_808,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_809,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_810,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_811,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_812,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_813,type,
    at_bot_real: filter_real ).

tff(func_def_814,type,
    at_top_nat: filter_nat ).

tff(func_def_815,type,
    at_top_real: filter_real ).

tff(func_def_816,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

tff(func_def_817,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_818,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_819,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_820,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_821,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_822,type,
    finite_card_char: set_char > nat ).

tff(func_def_823,type,
    finite3207457112153483333omplex: fun_set_complex_bool ).

tff(func_def_824,type,
    finite_finite_bool: fun_set_bool_bool ).

tff(func_def_825,type,
    finite_finite_int: fun_set_int_bool ).

tff(func_def_826,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_827,type,
    finite_finite_num: fun_set_num_bool ).

tff(func_def_828,type,
    finite6177210948735845034at_nat: fun_se8074476271188067385t_bool ).

tff(func_def_829,type,
    finite4343798906461161616at_nat: fun_se8353504738346895699t_bool ).

tff(func_def_830,type,
    finite_finite_rat: fun_set_rat_bool ).

tff(func_def_831,type,
    finite_finite_real: fun_set_real_bool ).

tff(func_def_832,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_bool ).

tff(func_def_833,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_bool ).

tff(func_def_834,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_bool ).

tff(func_def_835,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_836,type,
    bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > fun_se8074476271188067385t_bool ).

tff(func_def_837,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_bool ).

tff(func_def_838,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_839,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_840,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_841,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_842,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_843,type,
    id_bool: fun_bool_bool ).

tff(func_def_844,type,
    id_nat: fun_nat_nat ).

tff(func_def_845,type,
    inj_on_nat_list_nat: fun_nat_list_nat > fun_set_nat_bool ).

tff(func_def_846,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_847,type,
    inj_on5538052773655684606at_nat: fun_na1476630412504255114at_nat > fun_set_nat_bool ).

tff(func_def_848,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_849,type,
    inj_on2178005380612969504at_nat: fun_Pr2602117396471556196at_nat > fun_se8074476271188067385t_bool ).

tff(func_def_850,type,
    inj_on_real_real: fun_real_real > fun_set_real_bool ).

tff(func_def_851,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_852,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_853,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_854,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_855,type,
    map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).

tff(func_def_856,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_857,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_858,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_859,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_860,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_861,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_862,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_863,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_864,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_865,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_866,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_867,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_868,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_869,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_870,type,
    abs_abs_int: fun_int_int ).

tff(func_def_871,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_872,type,
    abs_abs_real: fun_real_real ).

tff(func_def_873,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_874,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_875,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_876,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_877,type,
    minus_minus_rat: fun_rat_fun_rat_rat ).

tff(func_def_878,type,
    minus_minus_real: real > fun_real_real ).

tff(func_def_879,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_880,type,
    minus_minus_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_881,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_882,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_883,type,
    minus_minus_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_884,type,
    minus_1356011639430497352at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_885,type,
    minus_3314409938677909166at_nat: fun_se177437144654672861at_nat ).

tff(func_def_886,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_887,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_888,type,
    minus_5423061390740260265x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_889,type,
    minus_4822186092517116124l_bool: ( fun_bool_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_890,type,
    minus_7727386867957376939t_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_891,type,
    minus_8064998606961450743t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_892,type,
    minus_1628305797571225351t_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_893,type,
    minus_5597117856863188850t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_894,type,
    minus_6582619742941512235l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_895,type,
    minus_8322047804725131473t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_896,type,
    one_one_Code_integer: code_integer ).

tff(func_def_897,type,
    one_one_complex: complex ).

tff(func_def_898,type,
    one_one_int: int ).

tff(func_def_899,type,
    one_one_nat: nat ).

tff(func_def_900,type,
    one_one_rat: rat ).

tff(func_def_901,type,
    one_one_real: real ).

tff(func_def_902,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_903,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_904,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_905,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_906,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_907,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_908,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_909,type,
    plus_plus_real: real > fun_real_real ).

tff(func_def_910,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_911,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_912,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_913,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_914,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_915,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_916,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_917,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_918,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_919,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_920,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_921,type,
    times_times_real: real > fun_real_real ).

tff(func_def_922,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_923,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_924,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_925,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_926,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_927,type,
    uminus8566677241136511917omplex: set_complex > set_complex ).

tff(func_def_928,type,
    uminus5166143097222041326t_bool: set_bool > set_bool ).

tff(func_def_929,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_930,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

tff(func_def_931,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_932,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_933,type,
    uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_934,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_935,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_936,type,
    uminus8337675090112669241x_bool: fun_complex_bool > fun_complex_bool ).

tff(func_def_937,type,
    uminus215040010513443916l_bool: fun_bool_bool > fun_bool_bool ).

tff(func_def_938,type,
    uminus8094991720627284027t_bool: fun_int_bool > fun_int_bool ).

tff(func_def_939,type,
    uminus5119773305880778631t_bool: fun_list_nat_bool > fun_list_nat_bool ).

tff(func_def_940,type,
    uminus1995910650241132439t_bool: fun_nat_bool > fun_nat_bool ).

tff(func_def_941,type,
    uminus6270006169978340066t_bool: fun_Pr7757163693017731481t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_942,type,
    uminus4638318004487240379l_bool: fun_real_bool > fun_real_bool ).

tff(func_def_943,type,
    uminus6226608070181861729t_bool: fun_set_nat_bool > fun_set_nat_bool ).

tff(func_def_944,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_945,type,
    zero_zero_complex: complex ).

tff(func_def_946,type,
    zero_zero_int: int ).

tff(func_def_947,type,
    zero_zero_nat: nat ).

tff(func_def_948,type,
    zero_zero_rat: rat ).

tff(func_def_949,type,
    zero_zero_real: real ).

tff(func_def_950,type,
    zero_zero_literal: literal ).

tff(func_def_951,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_952,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_953,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_954,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_955,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_956,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_957,type,
    groups1682264926906508858nteger: ( fun_bo7282069421189217543nteger * set_bool ) > code_integer ).

tff(func_def_958,type,
    groups5766010803219694601ol_int: ( fun_bool_int * set_bool ) > int ).

tff(func_def_959,type,
    groups5768501273728744877ol_nat: ( fun_bool_nat * set_bool ) > nat ).

tff(func_def_960,type,
    groups5133371213642249141ol_rat: ( fun_bool_rat * set_bool ) > rat ).

tff(func_def_961,type,
    groups502887708668150281l_real: ( fun_bool_real * set_bool ) > real ).

tff(func_def_962,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_963,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_964,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_965,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_966,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_967,type,
    groups3257113351181983737nteger: ( fun_li3231056112175589690nteger * set_list_nat ) > code_integer ).

tff(func_def_968,type,
    groups7501900531339628137nteger: fun_nat_Code_integer > fun_se7586849273513198688nteger ).

tff(func_def_969,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_970,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_971,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_972,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_973,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_974,type,
    groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_975,type,
    groups342789780944988191at_rat: ( fun_Pr8317260874932935276at_rat * set_Pr1261947904930325089at_nat ) > rat ).

tff(func_def_976,type,
    groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_977,type,
    groups3860910324918113789at_nat: ( fun_Pr1253225528153422666at_nat * set_Pr4329608150637261639at_nat ) > nat ).

tff(func_def_978,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_979,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_980,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_981,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_982,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_983,type,
    groups9190459664516455967nteger: ( fun_se7586849273513198688nteger * set_set_nat ) > code_integer ).

tff(func_def_984,type,
    groups8294997508430121362at_nat: ( fun_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_985,type,
    groups8682486955453173170nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_986,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_987,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_988,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_989,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_990,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_991,type,
    groups7272450149305381519nteger: ( fun_bo7282069421189217543nteger * set_bool ) > code_integer ).

tff(func_def_992,type,
    groups4392847887476860640omplex: ( fun_bool_complex * set_bool ) > complex ).

tff(func_def_993,type,
    groups1892458791187145822ol_int: ( fun_bool_int * set_bool ) > int ).

tff(func_def_994,type,
    groups1894949261696196098ol_nat: ( fun_bool_nat * set_bool ) > nat ).

tff(func_def_995,type,
    groups1259819201609700362ol_rat: ( fun_bool_rat * set_bool ) > rat ).

tff(func_def_996,type,
    groups2440149372559378398l_real: ( fun_bool_real * set_bool ) > real ).

tff(func_def_997,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_998,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_999,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_1000,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_1001,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_1002,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_1003,type,
    groups3455450783089532116nteger: fun_nat_Code_integer > fun_se7586849273513198688nteger ).

tff(func_def_1004,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_1005,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_1006,type,
    groups708209901874060359at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_1007,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_1008,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_1009,type,
    groups1230400874837758585nteger: ( fun_Pr6026251430685297nteger * set_Pr1261947904930325089at_nat ) > code_integer ).

tff(func_def_1010,type,
    groups4075276357253098568at_int: ( fun_Pr7647638413817135296at_int * set_Pr1261947904930325089at_nat ) > int ).

tff(func_def_1011,type,
    groups4077766827762148844at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_1012,type,
    groups6036352826371341000t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_1013,type,
    groups6225526099057966256nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_1014,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_1015,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_1016,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_1017,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_1018,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_1019,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_1020,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_1021,type,
    the_real: fun_real_bool > real ).

tff(func_def_1022,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_1023,type,
    if_complex: ( bool * complex ) > fun_complex_complex ).

tff(func_def_1024,type,
    if_int: bool > fun_int_fun_int_int ).

tff(func_def_1025,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_1026,type,
    if_num: bool > fun_num_fun_num_num ).

tff(func_def_1027,type,
    if_option_nat: ( bool * option_nat * option_nat ) > option_nat ).

tff(func_def_1028,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1029,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1030,type,
    if_Pro6206227464963214023at_nat: bool > fun_Pr2477239776880934807at_nat ).

tff(func_def_1031,type,
    if_rat: bool > fun_rat_fun_rat_rat ).

tff(func_def_1032,type,
    if_real: ( bool * real ) > fun_real_real ).

tff(func_def_1033,type,
    if_VEBT_VEBT: ( bool * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1034,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_1035,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_1036,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_1037,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_1038,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_1039,type,
    nat2: fun_int_nat ).

tff(func_def_1040,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_1041,type,
    ring_1_Ints_real: set_real ).

tff(func_def_1042,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_1043,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_1044,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_1045,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_1046,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_1047,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_1048,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_1049,type,
    inf_inf_rat: fun_rat_fun_rat_rat ).

tff(func_def_1050,type,
    inf_inf_set_complex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_1051,type,
    inf_inf_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_1052,type,
    inf_inf_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1053,type,
    inf_inf_set_list_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_1054,type,
    inf_inf_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_1055,type,
    inf_inf_set_num: ( set_num * set_num ) > set_num ).

tff(func_def_1056,type,
    inf_in2269163501485487111nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1057,type,
    inf_in2572325071724192079at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_1058,type,
    inf_in7510916698018314649at_num: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > set_Pr6200539531224447659at_num ).

tff(func_def_1059,type,
    inf_in305939755129712355um_num: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > set_Pr8218934625190621173um_num ).

tff(func_def_1060,type,
    inf_in7913087082777306421at_nat: fun_se177437144654672861at_nat ).

tff(func_def_1061,type,
    inf_inf_set_rat: ( set_rat * set_rat ) > set_rat ).

tff(func_def_1062,type,
    inf_inf_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_1063,type,
    inf_inf_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1064,type,
    inf_in769588206462607408x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1065,type,
    inf_in9217375510005350933l_bool: ( fun_bool_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_1066,type,
    inf_inf_fun_int_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1067,type,
    inf_in9053446047475168223t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_1068,type,
    inf_in7940471347505502206t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1069,type,
    inf_inf_fun_nat_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1070,type,
    inf_in183157752877997207t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_1071,type,
    inf_in3377337789587618253m_bool: ( fun_nat_fun_num_bool * fun_nat_fun_num_bool ) > fun_nat_fun_num_bool ).

tff(func_def_1072,type,
    inf_in6785501014208220675m_bool: ( fun_num_fun_num_bool * fun_num_fun_num_bool ) > fun_num_fun_num_bool ).

tff(func_def_1073,type,
    inf_in2244499300375407147t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1074,type,
    inf_in4003345473364989746l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1075,type,
    inf_in6168126700042863960t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1076,type,
    inf_in3598995156604608923t_bool: ( fun_se1534075524646452397t_bool * fun_se1534075524646452397t_bool ) > fun_se1534075524646452397t_bool ).

tff(func_def_1077,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_1078,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_1079,type,
    sup_sup_rat: fun_rat_fun_rat_rat ).

tff(func_def_1080,type,
    sup_sup_set_complex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_1081,type,
    sup_sup_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_1082,type,
    sup_sup_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1083,type,
    sup_sup_set_list_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_1084,type,
    sup_sup_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_1085,type,
    sup_sup_set_num: ( set_num * set_num ) > set_num ).

tff(func_def_1086,type,
    sup_su6024340866399070445nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1087,type,
    sup_su6327502436637775413at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_1088,type,
    sup_su2042722026077122175at_num: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > set_Pr6200539531224447659at_num ).

tff(func_def_1089,type,
    sup_su4061117120043295689um_num: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > set_Pr8218934625190621173um_num ).

tff(func_def_1090,type,
    sup_su5525570899277871387at_nat: fun_se177437144654672861at_nat ).

tff(func_def_1091,type,
    sup_sup_set_rat: ( set_rat * set_rat ) > set_rat ).

tff(func_def_1092,type,
    sup_sup_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_1093,type,
    sup_sup_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1094,type,
    sup_su6272177626956685416T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_1095,type,
    sup_su6568012871953091606x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1096,type,
    sup_su2675241097686107055l_bool: ( fun_bool_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_1097,type,
    sup_sup_fun_int_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1098,type,
    sup_su8050957313097713605t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_1099,type,
    sup_su7820324534880642276t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1100,type,
    sup_sup_fun_nat_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1101,type,
    sup_su8404041055355318397t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_1102,type,
    sup_su2374849055210163635m_bool: ( fun_nat_fun_num_bool * fun_nat_fun_num_bool ) > fun_nat_fun_num_bool ).

tff(func_def_1103,type,
    sup_su5783012279830766057m_bool: ( fun_num_fun_num_bool * fun_num_fun_num_bool ) > fun_num_fun_num_bool ).

tff(func_def_1104,type,
    sup_su5674415786711694021t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1105,type,
    sup_su5834520091132235615t_bool: ( fun_Pr1607443439640623155t_bool * fun_Pr1607443439640623155t_bool ) > fun_Pr1607443439640623155t_bool ).

tff(func_def_1106,type,
    sup_su805534559149407256l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1107,type,
    sup_su7038862894554899774t_bool: ( fun_set_nat_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1108,type,
    sup_su794791877260760193t_bool: ( fun_se1534075524646452397t_bool * fun_se1534075524646452397t_bool ) > fun_se1534075524646452397t_bool ).

tff(func_def_1109,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_1110,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_1111,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_1112,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_1113,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_1114,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_1115,type,
    nil_int: list_int ).

tff(func_def_1116,type,
    nil_nat: list_nat ).

tff(func_def_1117,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_1118,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1119,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_1120,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_1121,type,
    set_int2: list_int > set_int ).

tff(func_def_1122,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_1123,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1124,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1125,type,
    set_real2: list_real > set_real ).

tff(func_def_1126,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_1127,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_1128,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_1129,type,
    list_update_complex: ( list_complex * nat * complex ) > list_complex ).

tff(func_def_1130,type,
    list_update_bool: ( list_bool * nat * bool ) > list_bool ).

tff(func_def_1131,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_1132,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_1133,type,
    list_u6180841689913720943at_nat: ( list_P6011104703257516679at_nat * nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_1134,type,
    list_u4696772448584712917at_nat: ( list_P5464809261938338413at_nat * nat * produc3843707927480180839at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_1135,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_1136,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1137,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_1138,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_1139,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_1140,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_1141,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_1142,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_1143,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_1144,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1145,type,
    nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).

tff(func_def_1146,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_1147,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_1148,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_1149,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_1150,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1151,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_1152,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_1153,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1154,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_1155,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_1156,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_1157,type,
    produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).

tff(func_def_1158,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_1159,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_1160,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_1161,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_1162,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_1163,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_1164,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_1165,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_1166,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_1167,type,
    replicate_bool: ( nat * bool ) > list_bool ).

tff(func_def_1168,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_1169,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_1170,type,
    replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_1171,type,
    replic2264142908078655527at_nat: ( nat * produc3843707927480180839at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_1172,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_1173,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1174,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_1175,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_1176,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1177,type,
    union_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_1178,type,
    union_4462254032241401953at_nat: ( list_P5464809261938338413at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_1179,type,
    union_VEBT_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1180,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_1181,type,
    upto: ( int * int ) > list_int ).

tff(func_def_1182,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1183,type,
    suc: fun_nat_nat ).

tff(func_def_1184,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1185,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1186,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1187,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_1188,type,
    pred: fun_nat_nat ).

tff(func_def_1189,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_1190,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_1191,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_1192,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_1193,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_1194,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_1195,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_1196,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_1197,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_1198,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1199,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_1200,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_1201,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_1202,type,
    size_size_list_int: list_int > nat ).

tff(func_def_1203,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_1204,type,
    size_size_list_num: list_num > nat ).

tff(func_def_1205,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_1206,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_1207,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_1208,type,
    size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).

tff(func_def_1209,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_1210,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_1211,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_1212,type,
    size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).

tff(func_def_1213,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_1214,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_1215,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_1216,type,
    size_size_list_real: list_real > nat ).

tff(func_def_1217,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_1218,type,
    size_size_num: fun_num_nat ).

tff(func_def_1219,type,
    size_size_option_nat: option_nat > nat ).

tff(func_def_1220,type,
    size_size_option_num: option_num > nat ).

tff(func_def_1221,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_1222,type,
    size_size_char: char > nat ).

tff(func_def_1223,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1224,type,
    nat_list_decode: fun_nat_list_nat ).

tff(func_def_1225,type,
    nat_list_decode_rel: fun_nat_fun_nat_bool ).

tff(func_def_1226,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_1227,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_1228,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_1229,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1230,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_1231,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_1232,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_1233,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_1234,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_1235,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_1236,type,
    sqrt: fun_real_real ).

tff(func_def_1237,type,
    bitM: fun_num_num ).

tff(func_def_1238,type,
    inc: fun_num_num ).

tff(func_def_1239,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_1240,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_1241,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_1242,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_1243,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_1244,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_1245,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_1246,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_1247,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_1248,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_1249,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_1250,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_1251,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_1252,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_1253,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_1254,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_1255,type,
    bit0: fun_num_num ).

tff(func_def_1256,type,
    bit1: fun_num_num ).

tff(func_def_1257,type,
    one: num ).

tff(func_def_1258,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_1259,type,
    size_num: fun_num_nat ).

tff(func_def_1260,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1261,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_1262,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1263,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1264,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1265,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1266,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_1267,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_1268,type,
    pow: fun_num_fun_num_num ).

tff(func_def_1269,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1270,type,
    sqr: fun_num_num ).

tff(func_def_1271,type,
    none_nat: option_nat ).

tff(func_def_1272,type,
    none_num: option_num ).

tff(func_def_1273,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1274,type,
    some_nat: nat > option_nat ).

tff(func_def_1275,type,
    some_num: num > option_num ).

tff(func_def_1276,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1277,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool ) > fun_op2627489687811228755t_bool ).

tff(func_def_1278,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1279,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1280,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1281,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1282,type,
    size_option_nat: ( fun_nat_nat * option_nat ) > nat ).

tff(func_def_1283,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_1284,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_1285,type,
    the_nat: option_nat > nat ).

tff(func_def_1286,type,
    the_num: option_num > num ).

tff(func_def_1287,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1288,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_1289,type,
    order_2888998067076097458on_nat: set_nat > fun_se8074476271188067385t_bool ).

tff(func_def_1290,type,
    bot_bot_filter_nat: filter_nat ).

tff(func_def_1291,type,
    bot_bot_nat: nat ).

tff(func_def_1292,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1293,type,
    bot_bot_set_bool: set_bool ).

tff(func_def_1294,type,
    bot_bot_set_int: set_int ).

tff(func_def_1295,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_1296,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1297,type,
    bot_bot_set_num: set_num ).

tff(func_def_1298,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_1299,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1300,type,
    bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).

tff(func_def_1301,type,
    bot_bo9056780473022590049um_num: set_Pr8218934625190621173um_num ).

tff(func_def_1302,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_1303,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1304,type,
    bot_bot_set_real: set_real ).

tff(func_def_1305,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_1306,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

tff(func_def_1307,type,
    bot_bo8490223647127498926x_bool: fun_complex_bool ).

tff(func_def_1308,type,
    bot_bo4756488196683355415l_bool: fun_bool_bool ).

tff(func_def_1309,type,
    bot_bot_fun_int_bool: fun_int_bool ).

tff(func_def_1310,type,
    bot_bo6207810721336151133t_bool: fun_int_fun_int_bool ).

tff(func_def_1311,type,
    bot_bo6469247547558333820t_bool: fun_list_nat_bool ).

tff(func_def_1312,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_1313,type,
    bot_bo6560894463593755925t_bool: fun_nat_fun_nat_bool ).

tff(func_def_1314,type,
    bot_bo531702463448601163m_bool: fun_nat_fun_num_bool ).

tff(func_def_1315,type,
    bot_bo3939865688069203585m_bool: fun_num_fun_num_bool ).

tff(func_def_1316,type,
    bot_bo3782518310583830573t_bool: fun_Pr7757163693017731481t_bool ).

tff(func_def_1317,type,
    bot_bo4181092155253064880l_bool: fun_real_bool ).

tff(func_def_1318,type,
    bot_bo8343409700046576086t_bool: fun_set_nat_bool ).

tff(func_def_1319,type,
    bot_bo3728952843091432729t_bool: fun_se1534075524646452397t_bool ).

tff(func_def_1320,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_1321,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1322,type,
    ord_less_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1323,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_1324,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_1325,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_1326,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_1327,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_1328,type,
    ord_less_set_complex: set_complex > fun_set_complex_bool ).

tff(func_def_1329,type,
    ord_less_set_bool: set_bool > fun_set_bool_bool ).

tff(func_def_1330,type,
    ord_less_set_int: set_int > fun_set_int_bool ).

tff(func_def_1331,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1332,type,
    ord_less_set_num: set_num > fun_set_num_bool ).

tff(func_def_1333,type,
    ord_le7866589430770878221at_nat: fun_se1534075524646452397t_bool ).

tff(func_def_1334,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > fun_se8353504738346895699t_bool ).

tff(func_def_1335,type,
    ord_less_set_rat: set_rat > fun_set_rat_bool ).

tff(func_def_1336,type,
    ord_less_set_real: set_real > fun_set_real_bool ).

tff(func_def_1337,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_1338,type,
    ord_less_eq_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1339,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_1340,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_1341,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_1342,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_1343,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_1344,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_bool ).

tff(func_def_1345,type,
    ord_less_eq_set_bool: set_bool > fun_set_bool_bool ).

tff(func_def_1346,type,
    ord_less_eq_set_int: set_int > fun_set_int_bool ).

tff(func_def_1347,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_1348,type,
    ord_less_eq_set_num: set_num > fun_set_num_bool ).

tff(func_def_1349,type,
    ord_le3146513528884898305at_nat: fun_se1534075524646452397t_bool ).

tff(func_def_1350,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > fun_se8353504738346895699t_bool ).

tff(func_def_1351,type,
    ord_less_eq_set_rat: set_rat > fun_set_rat_bool ).

tff(func_def_1352,type,
    ord_less_eq_set_real: set_real > fun_set_real_bool ).

tff(func_def_1353,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1354,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1355,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1356,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_1357,type,
    ord_max_rat: fun_rat_fun_rat_rat ).

tff(func_def_1358,type,
    ord_max_real: real > fun_real_real ).

tff(func_def_1359,type,
    ord_max_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_1360,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1361,type,
    ord_max_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_1362,type,
    ord_ma7524802468073614006at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_1363,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_1364,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_1365,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1366,type,
    top_top_set_bool: set_bool ).

tff(func_def_1367,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_1368,type,
    top_top_set_nat: set_nat ).

tff(func_def_1369,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1370,type,
    top_top_set_real: set_real ).

tff(func_def_1371,type,
    top_top_set_char: set_char ).

tff(func_def_1372,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1373,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1374,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1375,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1376,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1377,type,
    power_power_real: real > fun_nat_real ).

tff(func_def_1378,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1379,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_1380,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1381,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_1382,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1383,type,
    produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).

tff(func_def_1384,type,
    product_Pair_int_int: fun_in1696471567231710611nt_int ).

tff(func_def_1385,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1386,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1387,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_1388,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_1389,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1390,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1391,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1392,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1393,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_1394,type,
    produc5355662241087601495l_bool: ( set_Pr8621012493645324487l_bool * set_Pr8621012493645324487l_bool ) > produc1429801123241496295l_bool ).

tff(func_def_1395,type,
    produc4079257842390172913at_nat: ( set_Pr8621012493645324487l_bool * set_Pr1261947904930325089at_nat ) > produc8196147696116026881at_nat ).

tff(func_def_1396,type,
    produc2922128104949294807at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_1397,type,
    produc9060074326276436823at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat ).

tff(func_def_1398,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_1399,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_1400,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1401,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1402,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1403,type,
    produc2004789812759622991on_nat: ( fun_nat_fun_nat_bool * produc4953844613479565601on_nat ) > produc3700678068921409119on_nat ).

tff(func_def_1404,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_1405,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1406,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_1407,type,
    produc8433281988922931063on_num: ( fun_num_fun_num_bool * produc3447558737645232053on_num ) > produc6167219322466932359on_num ).

tff(func_def_1408,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1409,type,
    produc5961576194287291153at_nat: ( fun_Pr248683899324676269t_bool * produc6121120109295599847at_nat ) > produc533602882674032673at_nat ).

tff(func_def_1410,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1411,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1412,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1413,type,
    produc8678311845419106900er_nat: ( fun_Code_integer_nat * fun_Code_integer_nat * produc8923325533196201883nteger ) > product_prod_nat_nat ).

tff(func_def_1414,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1415,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1416,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1417,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1418,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_1419,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1420,type,
    produc4245557441103728435nt_int: fun_in1696471567231710611nt_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1421,type,
    produc1917071388513777916omplex: ( fun_na1142814060743658952omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1422,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1423,type,
    produc6840382203811409530at_int: fun_nat_fun_nat_int > fun_Pr7647638413817135296at_int ).

tff(func_def_1424,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_1425,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1426,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1427,type,
    produc6207742614233964070at_rat: fun_nat_fun_nat_rat > fun_Pr8317260874932935276at_rat ).

tff(func_def_1428,type,
    produc1703576794950452218t_real: fun_nat_fun_nat_real > fun_Pr672294278902479040t_real ).

tff(func_def_1429,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_1430,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1431,type,
    produc3677492636715751295m_bool: fun_nat_fun_num_bool > fun_Pr1727971692872576719m_bool ).

tff(func_def_1432,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1433,type,
    produc6231982587499038204omplex: ( fun_na3925014923085203400omplex * product_prod_nat_num ) > set_complex ).

tff(func_def_1434,type,
    produc5131145674798987871t_bool: ( fun_na7380188056088765119t_bool * product_prod_nat_num ) > set_bool ).

tff(func_def_1435,type,
    produc9175805072616146554et_int: ( fun_na8306170748371236422et_int * product_prod_nat_num ) > set_int ).

tff(func_def_1436,type,
    produc4130284055270567454et_nat: ( fun_na3896347130304379370et_nat * product_prod_nat_num ) > set_nat ).

tff(func_def_1437,type,
    produc1435849484188172666t_real: ( fun_na3666575854997362246t_real * product_prod_nat_num ) > set_real ).

tff(func_def_1438,type,
    produc8237051459014760373m_bool: fun_num_fun_num_bool > fun_Pr6287530515171585797m_bool ).

tff(func_def_1439,type,
    produc2866383454006189126omplex: ( fun_nu9041852840018610706omplex * product_prod_num_num ) > set_complex ).

tff(func_def_1440,type,
    produc5172587336680252053t_bool: ( fun_nu7299076251450613493t_bool * product_prod_num_num ) > set_bool ).

tff(func_def_1441,type,
    produc6406642877701697732et_int: ( fun_nu4940571614878387344et_int * product_prod_num_num ) > set_int ).

tff(func_def_1442,type,
    produc1361121860356118632et_nat: ( fun_nu530747996811530292et_nat * product_prod_num_num ) > set_nat ).

tff(func_def_1443,type,
    produc8296048397933160132t_real: ( fun_nu4698968662094489488t_real * product_prod_num_num ) > set_real ).

tff(func_def_1444,type,
    produc4641332057840980011t_bool: fun_se1534075524646452397t_bool > fun_Pr1607443439640623155t_bool ).

tff(func_def_1445,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1446,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1447,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1448,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1449,type,
    product_Abs_unit: fun_bo1891391082718140537t_unit ).

tff(func_def_1450,type,
    product_Rep_unit: fun_Pr1572506220757514509t_bool ).

tff(func_def_1451,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_1452,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_1453,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1454,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1455,type,
    normalize: fun_Pr2478283820680522243nt_int ).

tff(func_def_1456,type,
    of_int: fun_int_rat ).

tff(func_def_1457,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_1458,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1459,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1460,type,
    real2: fun_nat_rat > real ).

tff(func_def_1461,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_1462,type,
    positive: fun_real_bool ).

tff(func_def_1463,type,
    realrel: fun_fu2636726645394866687t_bool ).

tff(func_def_1464,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_1465,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1466,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1467,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1468,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1469,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1470,type,
    field_bool: set_Pr8621012493645324487l_bool > set_bool ).

tff(func_def_1471,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_1472,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_1473,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1474,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1475,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1476,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1477,type,
    divide_divide_rat: fun_rat_fun_rat_rat ).

tff(func_def_1478,type,
    divide_divide_real: real > fun_real_real ).

tff(func_def_1479,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1480,type,
    dvd_dvd_complex: fun_co1378794544173401837x_bool ).

tff(func_def_1481,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1482,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1483,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1484,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_1485,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1486,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_1487,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1488,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_1489,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1490,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_1491,type,
    zero_n2052037380579107095ol_rat: fun_bool_rat ).

tff(func_def_1492,type,
    zero_n3304061248610475627l_real: fun_bool_real ).

tff(func_def_1493,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1494,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1495,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1496,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1497,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_1498,type,
    sums_int: fun_nat_int > fun_int_bool ).

tff(func_def_1499,type,
    sums_nat: fun_nat_nat > fun_nat_bool ).

tff(func_def_1500,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_1501,type,
    collect_Code_integer: fun_Co8822979462182099027r_bool > set_Code_integer ).

tff(func_def_1502,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_1503,type,
    collect_bool: fun_bool_bool > set_bool ).

tff(func_def_1504,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_1505,type,
    collect_list_complex: fun_li356976171784545970x_bool > set_list_complex ).

tff(func_def_1506,type,
    collect_list_bool: fun_list_bool_bool > set_list_bool ).

tff(func_def_1507,type,
    collect_list_int: fun_list_int_bool > set_list_int ).

tff(func_def_1508,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_1509,type,
    collec3343600615725829874at_nat: fun_li8534502363195896595t_bool > set_li5450038453877631591at_nat ).

tff(func_def_1510,type,
    collec5608196760682091941T_VEBT: fun_li6006399982103069984T_bool > set_list_VEBT_VEBT ).

tff(func_def_1511,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_1512,type,
    collect_num: fun_num_bool > set_num ).

tff(func_def_1513,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_1514,type,
    collec6321179662152712658at_nat: fun_Pr1607443439640623155t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_1515,type,
    collect_rat: fun_rat_bool > set_rat ).

tff(func_def_1516,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_1517,type,
    collect_set_complex: fun_set_complex_bool > set_set_complex ).

tff(func_def_1518,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_1519,type,
    collec5514110066124741708at_nat: fun_se8074476271188067385t_bool > set_se7855581050983116737at_nat ).

tff(func_def_1520,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_1521,type,
    image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).

tff(func_def_1522,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1523,type,
    image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1524,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1525,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1526,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_1527,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1528,type,
    insert_complex: ( complex * set_complex ) > set_complex ).

tff(func_def_1529,type,
    insert_bool: ( bool * set_bool ) > set_bool ).

tff(func_def_1530,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1531,type,
    insert_list_nat: ( list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_1532,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1533,type,
    insert_num: ( num * set_num ) > set_num ).

tff(func_def_1534,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1535,type,
    insert9069300056098147895at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1536,type,
    insert_rat: ( rat * set_rat ) > set_rat ).

tff(func_def_1537,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1538,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1539,type,
    insert_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_1540,type,
    is_singleton_complex: fun_set_complex_bool ).

tff(func_def_1541,type,
    is_singleton_bool: fun_set_bool_bool ).

tff(func_def_1542,type,
    is_singleton_int: fun_set_int_bool ).

tff(func_def_1543,type,
    is_singleton_nat: fun_set_nat_bool ).

tff(func_def_1544,type,
    is_sin2850979758926227957at_nat: fun_se8074476271188067385t_bool ).

tff(func_def_1545,type,
    is_sin2937591304547752795at_nat: fun_se8353504738346895699t_bool ).

tff(func_def_1546,type,
    is_singleton_real: fun_set_real_bool ).

tff(func_def_1547,type,
    the_elem_bool: fun_set_bool_bool ).

tff(func_def_1548,type,
    the_elem_int: set_int > int ).

tff(func_def_1549,type,
    the_elem_nat: fun_set_nat_nat ).

tff(func_def_1550,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_1551,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_1552,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1553,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1554,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1555,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1556,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1557,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1558,type,
    set_or1454250544011482060t_bool: ( bool * bool ) > set_bool ).

tff(func_def_1559,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1560,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1561,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1562,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1563,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1564,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1565,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1566,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1567,type,
    set_ord_atMost_bool: bool > set_bool ).

tff(func_def_1568,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1569,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1570,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1571,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1572,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1573,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

tff(func_def_1574,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_1575,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1576,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1577,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1578,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1579,type,
    set_or4454636193642143162n_bool: bool > set_bool ).

tff(func_def_1580,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1581,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1582,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1583,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1584,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1585,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_1586,type,
    literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).

tff(func_def_1587,type,
    ascii_of: char > char ).

tff(func_def_1588,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1589,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1590,type,
    integer_of_char: char > code_integer ).

tff(func_def_1591,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1592,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1593,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1594,type,
    arccos: fun_real_real ).

tff(func_def_1595,type,
    arcosh_real: fun_real_real ).

tff(func_def_1596,type,
    arcsin: fun_real_real ).

tff(func_def_1597,type,
    arctan: fun_real_real ).

tff(func_def_1598,type,
    arsinh_real: fun_real_real ).

tff(func_def_1599,type,
    artanh_real: fun_real_real ).

tff(func_def_1600,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1601,type,
    cos_real: fun_real_real ).

tff(func_def_1602,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1603,type,
    cosh_real: fun_real_real ).

tff(func_def_1604,type,
    cot_real: fun_real_real ).

tff(func_def_1605,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1606,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1607,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1608,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1609,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1610,type,
    exp_real: fun_real_real ).

tff(func_def_1611,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1612,type,
    log: real > fun_real_real ).

tff(func_def_1613,type,
    pi: real ).

tff(func_def_1614,type,
    powr_real: real > fun_real_real ).

tff(func_def_1615,type,
    powr_real2: real > fun_real_real ).

tff(func_def_1616,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1617,type,
    sin_real: fun_real_real ).

tff(func_def_1618,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1619,type,
    sinh_real: fun_real_real ).

tff(func_def_1620,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1621,type,
    tan_real: fun_real_real ).

tff(func_def_1622,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1623,type,
    tanh_real: fun_real_real ).

tff(func_def_1624,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1625,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1626,type,
    type_d5772988228442255350t_bool: ( fun_Pr1572506220757514509t_bool * fun_bo1891391082718140537t_unit ) > fun_set_bool_bool ).

tff(func_def_1627,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1628,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1629,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1630,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1631,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1632,type,
    vEBT_V312737461966249ad_rel: fun_Pr5442483421567724333t_bool ).

tff(func_def_1633,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1634,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1635,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1636,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1637,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1638,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1639,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1640,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1641,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1642,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1643,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1644,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1645,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1646,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1647,type,
    vEBT_vebt_delete_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1648,type,
    vEBT_VEBT_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1649,type,
    vEBT_VEBT_insert_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1650,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1651,type,
    vEBT_vebt_insert_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1652,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1653,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

tff(func_def_1654,type,
    vEBT_V6963167321098673237ll_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1655,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1656,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1657,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1658,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1659,type,
    vEBT_VEBT_greater: fun_op7792301606653096457t_bool ).

tff(func_def_1660,type,
    vEBT_VEBT_less: fun_op7792301606653096457t_bool ).

tff(func_def_1661,type,
    vEBT_VEBT_lesseq: fun_op7792301606653096457t_bool ).

tff(func_def_1662,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_bool ).

tff(func_def_1663,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_bool ).

tff(func_def_1664,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1665,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1666,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1667,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1668,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1669,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1670,type,
    vEBT_vebt_maxt_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1671,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1672,type,
    vEBT_vebt_mint_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1673,type,
    vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_1674,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1675,type,
    vEBT_vebt_pred_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1676,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_1677,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1678,type,
    vEBT_vebt_succ_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1679,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_1680,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1681,type,
    accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1682,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1683,type,
    accp_P3113834385874906142um_num: fun_Pr5837708615769641901m_bool > fun_Pr6287530515171585797m_bool ).

tff(func_def_1684,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_1685,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1686,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1687,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1688,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1689,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1690,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1691,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1692,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1693,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1694,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1695,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1696,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1697,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1698,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1699,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1700,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1701,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1702,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1703,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1704,type,
    aa_Cod1660996421839551523nteger: ( fun_Co8416587583108374242nteger * code_integer ) > fun_co8153928105989009288nteger ).

tff(func_def_1705,type,
    aa_Cod6819470024986797159x_bool: ( fun_Co7124838579184476414x_bool * code_integer ) > fun_complex_bool ).

tff(func_def_1706,type,
    aa_Cod1658353545975407189nteger: ( fun_Co4193813265255946772nteger * code_integer ) > fun_li3231056112175589690nteger ).

tff(func_def_1707,type,
    aa_Cod4030550284336906933t_bool: ( fun_Co8554863136687237708t_bool * code_integer ) > fun_list_nat_bool ).

tff(func_def_1708,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1709,type,
    aa_Cod2498268374540730821t_bool: ( fun_Co8657364630979331932t_bool * code_integer ) > fun_nat_bool ).

tff(func_def_1710,type,
    aa_Cod3249490220333259515nteger: ( fun_Co4664883906889918906nteger * code_integer ) > fun_se7586849273513198688nteger ).

tff(func_def_1711,type,
    aa_Cod764135534001036175t_bool: ( fun_Co5578011877475920934t_bool * code_integer ) > fun_set_nat_bool ).

tff(func_def_1712,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1713,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1714,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1715,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1716,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1717,type,
    aa_complex_num: ( fun_complex_num * complex ) > num ).

tff(func_def_1718,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1719,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1720,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1721,type,
    aa_com177695874307951165omplex: ( fun_co3732688428756473980omplex * complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1722,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1723,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1724,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1725,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1726,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1727,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_1728,type,
    aa_bool_complex: ( fun_bool_complex * bool ) > complex ).

tff(func_def_1729,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1730,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1731,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1732,type,
    aa_bool_num: ( fun_bool_num * bool ) > num ).

tff(func_def_1733,type,
    aa_bool_Product_unit: ( fun_bo1891391082718140537t_unit * bool ) > product_unit ).

tff(func_def_1734,type,
    aa_bool_rat: ( fun_bool_rat * bool ) > rat ).

tff(func_def_1735,type,
    aa_bool_real: ( fun_bool_real * bool ) > real ).

tff(func_def_1736,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1737,type,
    aa_boo3692867584632636148t_bool: ( fun_bo6148171183121378627t_bool * bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1738,type,
    aa_boo5791090712870310366at_nat: ( fun_bo3682073979402284333at_nat * bool ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1739,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1740,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1741,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1742,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1743,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1744,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1745,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1746,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1747,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1748,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1749,type,
    aa_int5354780257279585880x_bool: ( fun_in5750378413879446255x_bool * int ) > fun_complex_bool ).

tff(func_def_1750,type,
    aa_int6126987627036542017ex_int: ( fun_in3657390099950231424ex_int * int ) > fun_complex_int ).

tff(func_def_1751,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1752,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1753,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1754,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1755,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1756,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1757,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1758,type,
    aa_int_fun_nat_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_1759,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1760,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1761,type,
    aa_list_complex_bool: ( fun_li356976171784545970x_bool * list_complex ) > bool ).

tff(func_def_1762,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1763,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_1764,type,
    aa_lis9097500579518594299nteger: ( fun_li3231056112175589690nteger * list_nat ) > code_integer ).

tff(func_def_1765,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1766,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_1767,type,
    aa_lis4768068104879709938t_bool: ( fun_li8598321315282354825t_bool * list_nat ) > fun_list_nat_bool ).

tff(func_def_1768,type,
    aa_lis6649954313659033868t_bool: ( fun_li8534502363195896595t_bool * list_P6011104703257516679at_nat ) > bool ).

tff(func_def_1769,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1770,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1771,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1772,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1773,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1774,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1775,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1776,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1777,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1778,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1779,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1780,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1781,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1782,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1783,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1784,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1785,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1786,type,
    aa_nat3391284541783913865ex_nat: ( fun_na8457291176974909128ex_nat * nat ) > fun_complex_nat ).

tff(func_def_1787,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1788,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1789,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1790,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1791,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1792,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1793,type,
    aa_nat8039161444313734436x_bool: ( fun_na376774557589183419x_bool * nat ) > fun_li356976171784545970x_bool ).

tff(func_def_1794,type,
    aa_nat4862889769322786699l_bool: ( fun_na205931550456536010l_bool * nat ) > fun_list_bool_bool ).

tff(func_def_1795,type,
    aa_nat1619170893822700070t_bool: ( fun_na7919044170365968317t_bool * nat ) > fun_list_int_bool ).

tff(func_def_1796,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1797,type,
    aa_nat1772366067986465313t_bool: ( fun_na5265545386895126880t_bool * nat ) > fun_li8534502363195896595t_bool ).

tff(func_def_1798,type,
    aa_nat1297483763028037422T_bool: ( fun_na2508794161012263405T_bool * nat ) > fun_li6006399982103069984T_bool ).

tff(func_def_1799,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1800,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1801,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1802,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1803,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1804,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1805,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1806,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1807,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1808,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1809,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1810,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1811,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1812,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1813,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1814,type,
    aa_nat_fun_num_bool: ( fun_nat_fun_num_bool * nat ) > fun_num_bool ).

tff(func_def_1815,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1816,type,
    aa_nat4347971807543021193omplex: ( fun_na3925014923085203400omplex * nat ) > fun_num_set_complex ).

tff(func_def_1817,type,
    aa_nat3426486978981926952t_bool: ( fun_na7380188056088765119t_bool * nat ) > fun_num_set_bool ).

tff(func_def_1818,type,
    aa_nat6493022401476965383et_int: ( fun_na8306170748371236422et_int * nat ) > fun_num_set_int ).

tff(func_def_1819,type,
    aa_nat8983105546408692139et_nat: ( fun_na3896347130304379370et_nat * nat ) > fun_num_set_nat ).

tff(func_def_1820,type,
    aa_nat1437378620602899975t_real: ( fun_na3666575854997362246t_real * nat ) > fun_num_set_real ).

tff(func_def_1821,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1822,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1823,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1824,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1825,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1826,type,
    aa_nat_fun_real_bool: ( fun_na6801867027684862029l_bool * nat ) > fun_real_bool ).

tff(func_def_1827,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1828,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1829,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1830,type,
    aa_nat6910189468943142497at_nat: ( fun_na106483476154090400at_nat * nat ) > fun_set_nat_nat ).

tff(func_def_1831,type,
    aa_nat8303615512603269253l_real: ( fun_na2180513548729900188l_real * nat ) > fun_literal_real ).

tff(func_def_1832,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1833,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1834,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1835,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1836,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1837,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1838,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1839,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1840,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1841,type,
    aa_num_set_complex: ( fun_num_set_complex * num ) > set_complex ).

tff(func_def_1842,type,
    aa_num_set_bool: ( fun_num_set_bool * num ) > set_bool ).

tff(func_def_1843,type,
    aa_num_set_int: ( fun_num_set_int * num ) > set_int ).

tff(func_def_1844,type,
    aa_num_set_nat: ( fun_num_set_nat * num ) > set_nat ).

tff(func_def_1845,type,
    aa_num_set_real: ( fun_num_set_real * num ) > set_real ).

tff(func_def_1846,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1847,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1848,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1849,type,
    aa_num241437687621652691omplex: ( fun_nu9041852840018610706omplex * num ) > fun_num_set_complex ).

tff(func_def_1850,type,
    aa_num3345375174343775326t_bool: ( fun_nu7299076251450613493t_bool * num ) > fun_num_set_bool ).

tff(func_def_1851,type,
    aa_num3127423267984116305et_int: ( fun_nu4940571614878387344et_int * num ) > fun_num_set_int ).

tff(func_def_1852,type,
    aa_num5617506412915843061et_nat: ( fun_nu530747996811530292et_nat * num ) > fun_num_set_nat ).

tff(func_def_1853,type,
    aa_num2469771427700027217t_real: ( fun_nu4698968662094489488t_real * num ) > fun_num_set_real ).

tff(func_def_1854,type,
    aa_option_nat_bool: ( fun_option_nat_bool * option_nat ) > bool ).

tff(func_def_1855,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1856,type,
    aa_opt7943525813896274546t_bool: ( fun_op7792301606653096457t_bool * option_nat ) > fun_option_nat_bool ).

tff(func_def_1857,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1858,type,
    aa_opt1914333813751119784m_bool: ( fun_op8690601775248757823m_bool * option_nat ) > fun_option_num_bool ).

tff(func_def_1859,type,
    aa_opt9009324110926966577t_bool: ( fun_op5698422665285572208t_bool * option_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1860,type,
    aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).

tff(func_def_1861,type,
    aa_opt1215501472626160296t_bool: ( fun_op1064277265382982207t_bool * option_num ) > fun_option_nat_bool ).

tff(func_def_1862,type,
    aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).

tff(func_def_1863,type,
    aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).

tff(func_def_1864,type,
    aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).

tff(func_def_1865,type,
    aa_opt5915962183577952389t_bool: ( fun_op9100744243108201484t_bool * option4927543243414619207at_nat ) > fun_option_nat_bool ).

tff(func_def_1866,type,
    aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).

tff(func_def_1867,type,
    aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).

tff(func_def_1868,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1869,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1870,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1871,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1872,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1873,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1874,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_1875,type,
    aa_Pro4764841431850000930nteger: ( fun_Pr6026251430685297nteger * product_prod_nat_nat ) > code_integer ).

tff(func_def_1876,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1877,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1878,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1879,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1880,type,
    aa_Pro3608043709957902237at_rat: ( fun_Pr8317260874932935276at_rat * product_prod_nat_nat ) > rat ).

tff(func_def_1881,type,
    aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).

tff(func_def_1882,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1883,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1884,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1885,type,
    aa_Pro5426739851356932296m_bool: ( fun_Pr1727971692872576719m_bool * product_prod_nat_num ) > bool ).

tff(func_def_1886,type,
    aa_Pro762926636801165566m_bool: ( fun_Pr6287530515171585797m_bool * product_prod_num_num ) > bool ).

tff(func_def_1887,type,
    aa_Pro1809015098595223084t_bool: ( fun_Pr1607443439640623155t_bool * produc3843707927480180839at_nat ) > bool ).

tff(func_def_1888,type,
    aa_Pro6313114768868464763at_nat: ( fun_Pr1253225528153422666at_nat * produc3843707927480180839at_nat ) > nat ).

tff(func_def_1889,type,
    aa_Pro2859564254541897054t_bool: ( fun_Pr124437560471516333t_bool * produc3843707927480180839at_nat ) > fun_Pr1607443439640623155t_bool ).

tff(func_def_1890,type,
    aa_Product_unit_bool: ( fun_Pr1572506220757514509t_bool * product_unit ) > bool ).

tff(func_def_1891,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1892,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1893,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1894,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1895,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1896,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1897,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1898,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1899,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1900,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1901,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1902,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1903,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1904,type,
    aa_rat7467449789483521253at_rat: ( fun_ra8505079968215247908at_rat * rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1905,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1906,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1907,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1908,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1909,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1910,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1911,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1912,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1913,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1914,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1915,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1916,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1917,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1918,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1919,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1920,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1921,type,
    aa_rea1729780184207679413t_real: ( fun_re6135230694098607860t_real * real ) > fun_re8542384036533109323t_real ).

tff(func_def_1922,type,
    aa_set_complex_bool: ( fun_set_complex_bool * set_complex ) > bool ).

tff(func_def_1923,type,
    aa_set3741564773079358752x_bool: ( fun_se2973560062716774839x_bool * set_complex ) > fun_complex_bool ).

tff(func_def_1924,type,
    aa_set_bool_bool: ( fun_set_bool_bool * set_bool ) > bool ).

tff(func_def_1925,type,
    aa_set6670506438128111678l_bool: ( fun_se689384475314470797l_bool * set_bool ) > fun_bool_bool ).

tff(func_def_1926,type,
    aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).

tff(func_def_1927,type,
    aa_set7012339369581096484t_bool: ( fun_se6612071603986899387t_bool * set_int ) > fun_int_bool ).

tff(func_def_1928,type,
    aa_set257547205302447420t_bool: ( fun_se7035039998181355731t_bool * set_list_nat ) > fun_list_nat_bool ).

tff(func_def_1929,type,
    aa_set871585252387937313nteger: ( fun_se7586849273513198688nteger * set_nat ) > code_integer ).

tff(func_def_1930,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1931,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1932,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_1933,type,
    aa_set3744802623701456604t_bool: ( fun_se680526843285281907t_bool * set_nat ) > fun_nat_bool ).

tff(func_def_1934,type,
    aa_set5116768664143533222t_bool: ( fun_se707272970763642173t_bool * set_nat ) > fun_set_nat_bool ).

tff(func_def_1935,type,
    aa_set2309701074089104077et_nat: ( fun_se1909708154429037836et_nat * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_1936,type,
    aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).

tff(func_def_1937,type,
    aa_set_num_bool: ( fun_set_num_bool * set_num ) > bool ).

tff(func_def_1938,type,
    aa_set3135850010578026034t_bool: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > bool ).

tff(func_def_1939,type,
    aa_set8868280134176360700at_nat: ( fun_se320340636488258563at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1940,type,
    aa_set5223363028666124222t_bool: ( fun_se3305628495172992525t_bool * set_Pr1261947904930325089at_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1941,type,
    aa_set7594618562247239262t_bool: ( fun_se1534075524646452397t_bool * set_Pr1261947904930325089at_nat ) > fun_se8074476271188067385t_bool ).

tff(func_def_1942,type,
    aa_set3608868651603078568at_nat: ( fun_se3560235952666129655at_nat * set_Pr1261947904930325089at_nat ) > fun_se320340636488258563at_nat ).

tff(func_def_1943,type,
    aa_set4148026973699692364t_bool: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > bool ).

tff(func_def_1944,type,
    aa_set4883462369968598652at_nat: ( fun_se6846035212209387651at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1945,type,
    aa_set377272637606474814t_bool: ( fun_se6392513987399461773t_bool * set_Pr4329608150637261639at_nat ) > fun_Pr1607443439640623155t_bool ).

tff(func_def_1946,type,
    aa_set7704514097189807246at_nat: ( fun_se177437144654672861at_nat * set_Pr4329608150637261639at_nat ) > fun_se6846035212209387651at_nat ).

tff(func_def_1947,type,
    aa_set_rat_bool: ( fun_set_rat_bool * set_rat ) > bool ).

tff(func_def_1948,type,
    aa_set_real_bool: ( fun_set_real_bool * set_real ) > bool ).

tff(func_def_1949,type,
    aa_set8565328311858951076l_bool: ( fun_se2197967325210717499l_bool * set_real ) > fun_real_bool ).

tff(func_def_1950,type,
    aa_set9121396911425987952t_bool: ( fun_se1925730536474940935t_bool * set_set_nat ) > fun_set_nat_bool ).

tff(func_def_1951,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1952,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1953,type,
    aa_literal_real: ( fun_literal_real * literal ) > real ).

tff(func_def_1954,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1955,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1956,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1957,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1958,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1959,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1960,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1961,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1962,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1963,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1964,type,
    aa_fun4268748527592579270omplex: ( fun_fu6919794090103715845omplex * fun_complex_complex ) > fun_fu5956788528830221615omplex ).

tff(func_def_1965,type,
    aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1966,type,
    aa_fun4286351638413746156ex_int: ( fun_fu4213752561377164075ex_int * fun_complex_int ) > fun_complex_int ).

tff(func_def_1967,type,
    aa_fun6437630453459604288ex_int: ( fun_fu4692242605864086655ex_int * fun_complex_int ) > fun_fu4213752561377164075ex_int ).

tff(func_def_1968,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1969,type,
    aa_fun2484745150758625324ex_nat: ( fun_fu2513798379308225899ex_nat * fun_complex_nat ) > fun_fu705315015666092147ex_nat ).

tff(func_def_1970,type,
    aa_fun2759627087638585025x_bool: ( fun_fu3810065756161129304x_bool * fun_complex_rat ) > fun_complex_bool ).

tff(func_def_1971,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1972,type,
    aa_fun1496239077807485399x_bool: ( fun_fu9216119399439645550x_bool * fun_complex_rat ) > fun_fu3810065756161129304x_bool ).

tff(func_def_1973,type,
    aa_fun530470884365435460ex_rat: ( fun_fu6638204120336560003ex_rat * fun_complex_rat ) > fun_fu2990765671291504771ex_rat ).

tff(func_def_1974,type,
    aa_fun2898354424061222765x_bool: ( fun_fu6356453956411242500x_bool * fun_complex_real ) > fun_complex_bool ).

tff(func_def_1975,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1976,type,
    aa_fun2094807616088678831x_bool: ( fun_fu5995210064384465734x_bool * fun_complex_real ) > fun_fu6356453956411242500x_bool ).

tff(func_def_1977,type,
    aa_fun8382785274855863872x_real: ( fun_fu709861064203714431x_real * fun_complex_real ) > fun_fu7714627026455246123x_real ).

tff(func_def_1978,type,
    aa_fun1377107737837666940nteger: ( fun_fu624093908337759363nteger * fun_bo7282069421189217543nteger ) > fun_bo7282069421189217543nteger ).

tff(func_def_1979,type,
    aa_fun8098540714523660868l_bool: ( fun_fu7925023953348749699l_bool * fun_bool_bool ) > fun_bool_bool ).

tff(func_def_1980,type,
    aa_fun9101744387563128124ol_nat: ( fun_fu560003646518074819ol_nat * fun_bool_nat ) > fun_bool_nat ).

tff(func_def_1981,type,
    aa_fun4510340986217973961l_bool: ( fun_fu6678276313180071960l_bool * fun_bool_rat ) > fun_bool_bool ).

tff(func_def_1982,type,
    aa_fun224000846028461884ol_rat: ( fun_fu7257246399608679363ol_rat * fun_bool_rat ) > fun_bool_rat ).

tff(func_def_1983,type,
    aa_fun5608642267463484754l_bool: ( fun_fu8303122171908583641l_bool * fun_bool_rat ) > fun_fu6678276313180071960l_bool ).

tff(func_def_1984,type,
    aa_fun1200222457022472201ol_rat: ( fun_fu6757280373297557336ol_rat * fun_bool_rat ) > fun_fu7257246399608679363ol_rat ).

tff(func_def_1985,type,
    aa_fun2512541629346179229l_bool: ( fun_fu2238024911088387052l_bool * fun_bool_real ) > fun_bool_bool ).

tff(func_def_1986,type,
    aa_fun8933258245593490108l_real: ( fun_fu4678014405698904899l_real * fun_bool_real ) > fun_bool_real ).

tff(func_def_1987,type,
    aa_fun8125513006060278610l_bool: ( fun_fu9084992954297690841l_bool * fun_bool_real ) > fun_fu2238024911088387052l_bool ).

tff(func_def_1988,type,
    aa_fun7752257246785809757l_real: ( fun_fu3777146598159127724l_real * fun_bool_real ) > fun_fu4678014405698904899l_real ).

tff(func_def_1989,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1990,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1991,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1992,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1993,type,
    aa_fun3693603986580398266nt_int: ( fun_fu5221552698205305849nt_int * fun_int_int ) > fun_fu1143798476471108391nt_int ).

tff(func_def_1994,type,
    aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_1995,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1996,type,
    aa_fun258058769140594373t_bool: ( fun_fu337402001079966300t_bool * fun_int_rat ) > fun_int_bool ).

tff(func_def_1997,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1998,type,
    aa_fun465274253410646749t_bool: ( fun_fu163127709195666036t_bool * fun_int_rat ) > fun_fu337402001079966300t_bool ).

tff(func_def_1999,type,
    aa_fun2191249852558612414nt_rat: ( fun_fu1617438229336688381nt_rat * fun_int_rat ) > fun_fu1008360527747082367nt_rat ).

tff(func_def_2000,type,
    aa_fun1262781554902806129t_bool: ( fun_fu549321512867696136t_bool * fun_int_real ) > fun_int_bool ).

tff(func_def_2001,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_2002,type,
    aa_fun6205147705862377397t_bool: ( fun_fu3401574108658714444t_bool * fun_int_real ) > fun_fu549321512867696136t_bool ).

tff(func_def_2003,type,
    aa_fun6524208927192123834t_real: ( fun_fu4328765270694171897t_real * fun_int_real ) > fun_fu121957152452960295t_real ).

tff(func_def_2004,type,
    aa_fun4152872853588681340nt_int: ( fun_fu3898734532474705027nt_int * fun_in1696471567231710611nt_int ) > fun_in1696471567231710611nt_int ).

tff(func_def_2005,type,
    aa_fun6009467934925565500t_bool: ( fun_fu8303687057036190147t_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_2006,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_2007,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_2008,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_2009,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_2010,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_2011,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_2012,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_2013,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_2014,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_2015,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_2016,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_2017,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_2018,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_2019,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_2020,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_2021,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_2022,type,
    aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).

tff(func_def_2023,type,
    aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_2024,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_2025,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_2026,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_2027,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_2028,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_2029,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_2030,type,
    aa_fun5637262893798792573t_bool: ( fun_fu3052598110916186900t_bool * fun_nat_rat ) > fun_nat_bool ).

tff(func_def_2031,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_2032,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_2033,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_2034,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_2035,type,
    aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).

tff(func_def_2036,type,
    aa_fun2107527232086395633t_bool: ( fun_fu2971308621445215880t_bool * fun_nat_rat ) > fun_fu3052598110916186900t_bool ).

tff(func_def_2037,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_2038,type,
    aa_fun1349230436907296553t_bool: ( fun_fu7195134416904984768t_bool * fun_nat_real ) > fun_nat_bool ).

tff(func_def_2039,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_2040,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_2041,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_2042,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_2043,type,
    aa_fun849216055071118793t_bool: ( fun_fu8639250699203096928t_bool * fun_nat_real ) > fun_fu7195134416904984768t_bool ).

tff(func_def_2044,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_2045,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_2046,type,
    aa_fun3051233943552222972t_bool: ( fun_fu4970875099359191043t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_2047,type,
    aa_fun8134142976681035223at_nat: ( fun_fu1660592803699026854at_nat * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_nat ).

tff(func_def_2048,type,
    aa_fun3328218794057202080t_bool: ( fun_fu5132082026026788591t_bool * fun_nat_fun_nat_bool ) > fun_na4786964484885125043t_bool ).

tff(func_def_2049,type,
    aa_fun8974016276556183434at_nat: ( fun_fu5047582607593018841at_nat * fun_nat_fun_nat_bool ) > fun_na1668100129766719005at_nat ).

tff(func_def_2050,type,
    aa_fun1421985582829848961t_bool: ( fun_fu737869097161986712t_bool * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff(func_def_2051,type,
    aa_fun7716529229553496594at_nat: ( fun_fu1217771548038759377at_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_2052,type,
    aa_fun9209259830566968027t_bool: ( fun_fu5855118699552457754t_bool * fun_nat_fun_nat_nat ) > fun_na4786964484885125043t_bool ).

tff(func_def_2053,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_2054,type,
    aa_fun7513403936370313208t_bool: ( fun_fu4959356912570239247t_bool * fun_na4786964484885125043t_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_2055,type,
    aa_fun3048062428331337179at_nat: ( fun_fu7993321427942571930at_nat * fun_na4786964484885125043t_bool ) > fun_nat_fun_nat_nat ).

tff(func_def_2056,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_2057,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_2058,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_2059,type,
    aa_fun4674562053777771865t_real: ( fun_fu4063443379060642216t_real * fun_na2180513548729900188l_real ) > fun_nat_real ).

tff(func_def_2060,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_2061,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_2062,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_2063,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_2064,type,
    aa_fun8663595511526100224l_bool: ( fun_fu5641360819561228055l_bool * fun_Pr7757163693017731481t_bool ) > bool ).

tff(func_def_2065,type,
    aa_fun3448868659104709799ol_nat: ( fun_fu4450724535874491238ol_nat * fun_Pr7757163693017731481t_bool ) > nat ).

tff(func_def_2066,type,
    aa_fun830836278467416944t_bool: ( fun_fu6897202038601531823t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_2067,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_2068,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_2069,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_2070,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_2071,type,
    aa_fun5022828243006652836t_bool: ( fun_fu224428745893945571t_bool * fun_Pr1607443439640623155t_bool ) > fun_Pr1607443439640623155t_bool ).

tff(func_def_2072,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_2073,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_2074,type,
    aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_2075,type,
    aa_fun8270430325945277160al_int: ( fun_fu3737244727311182119al_int * fun_real_int ) > fun_real_int ).

tff(func_def_2076,type,
    aa_fun7818883909550569274al_int: ( fun_fu5645595436833112697al_int * fun_real_int ) > fun_fu3737244727311182119al_int ).

tff(func_def_2077,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_2078,type,
    aa_fun1500080954902701606al_nat: ( fun_fu3768230810189712741al_nat * fun_real_nat ) > fun_fu3214020956574444655al_nat ).

tff(func_def_2079,type,
    aa_fun8987621170725249221l_bool: ( fun_fu2277326744902863452l_bool * fun_real_rat ) > fun_real_bool ).

tff(func_def_2080,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_2081,type,
    aa_fun8530242357055030877l_bool: ( fun_fu6750725090257165812l_bool * fun_real_rat ) > fun_fu2277326744902863452l_bool ).

tff(func_def_2082,type,
    aa_fun1537150169341160510al_rat: ( fun_fu7187499828406537085al_rat * fun_real_rat ) > fun_fu2598743018846156927al_rat ).

tff(func_def_2083,type,
    aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_2084,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_2085,type,
    aa_fun334843040499603765l_bool: ( fun_fu2568719150003003596l_bool * fun_real_real ) > fun_fu7376312551830202376l_bool ).

tff(func_def_2086,type,
    aa_fun5414376518349398074l_real: ( fun_fu9132278742410140537l_real * fun_real_real ) > fun_fu3077872570260440615l_real ).

tff(func_def_2087,type,
    aa_fun3565389549526402364t_bool: ( fun_fu7495562154832025027t_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_2088,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_2089,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_2090,type,
    fFalse: bool ).

tff(func_def_2091,type,
    fNot: fun_bool_bool ).

tff(func_def_2092,type,
    fTrue: bool ).

tff(func_def_2093,type,
    fconj: fun_bo1841576699660343469l_bool ).

tff(func_def_2094,type,
    fdisj: fun_bo1841576699660343469l_bool ).

tff(func_def_2095,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_2096,type,
    fequal_complex: fun_co1378794544173401837x_bool ).

tff(func_def_2097,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_2098,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_2099,type,
    fequal_list_nat: list_nat > fun_list_nat_bool ).

tff(func_def_2100,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_2101,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_2102,type,
    fequal_option_nat: fun_op7792301606653096457t_bool ).

tff(func_def_2103,type,
    fequal9188845342289841878at_nat: fun_Pr248683899324676269t_bool ).

tff(func_def_2104,type,
    fequal7949547063978738364at_nat: produc3843707927480180839at_nat > fun_Pr1607443439640623155t_bool ).

tff(func_def_2105,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_2106,type,
    fequal_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_2107,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_2108,type,
    member_complex: complex > fun_set_complex_bool ).

tff(func_def_2109,type,
    member_bool: bool > fun_set_bool_bool ).

tff(func_def_2110,type,
    member_int: int > fun_set_int_bool ).

tff(func_def_2111,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_2112,type,
    member_num: num > fun_set_num_bool ).

tff(func_def_2113,type,
    member8440522571783428010at_nat: product_prod_nat_nat > fun_se8074476271188067385t_bool ).

tff(func_def_2114,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > fun_se8353504738346895699t_bool ).

tff(func_def_2115,type,
    member_rat: rat > fun_set_rat_bool ).

tff(func_def_2116,type,
    member_real: real > fun_set_real_bool ).

tff(func_def_2117,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_2118,type,
    deg: nat ).

tff(func_def_2119,type,
    info: option4927543243414619207at_nat ).

tff(func_def_2120,type,
    m: nat ).

tff(func_def_2121,type,
    ma: nat ).

tff(func_def_2122,type,
    mi: nat ).

tff(func_def_2123,type,
    na: nat ).

tff(func_def_2124,type,
    sa: vEBT_VEBT ).

tff(func_def_2125,type,
    summary: vEBT_VEBT ).

tff(func_def_2126,type,
    summary2: vEBT_VEBT ).

tff(func_def_2127,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_2128,type,
    treeList2: list_VEBT_VEBT ).

tff(func_def_2129,type,
    sK687: list_VEBT_VEBT ).

tff(func_def_2130,type,
    sK688: vEBT_VEBT ).

tff(func_def_2131,type,
    sK689: option4927543243414619207at_nat ).

tff(func_def_2132,type,
    sK690: set_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2133,type,
    sK691: set_set_nat > set_nat ).

tff(func_def_2134,type,
    sK692: set_set_nat > set_nat ).

tff(func_def_2135,type,
    sK693: fun_nat_rat > rat ).

tff(func_def_2136,type,
    sK694: fun_nat_rat > nat ).

tff(func_def_2137,type,
    sK695: fun_nat_rat > rat ).

tff(func_def_2138,type,
    sK696: fun_nat_rat > nat ).

tff(func_def_2139,type,
    sK697: fun_nat_rat > rat ).

tff(func_def_2140,type,
    sK698: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2141,type,
    sK699: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2142,type,
    sK700: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2143,type,
    sK701: fun_nat_rat > rat ).

tff(func_def_2144,type,
    sK702: fun_nat_rat > nat ).

tff(func_def_2145,type,
    sK703: set_list_nat > nat ).

tff(func_def_2146,type,
    sK704: fun_nat_nat > nat ).

tff(func_def_2147,type,
    sK705: fun_nat_nat > nat ).

tff(func_def_2148,type,
    sK706: fun_nat_nat > nat ).

tff(func_def_2149,type,
    sK707: fun_nat_nat > nat ).

tff(func_def_2150,type,
    sK708: fun_nat_nat > nat ).

tff(func_def_2151,type,
    sK709: fun_nat_int > nat ).

tff(func_def_2152,type,
    sK710: fun_nat_int > nat ).

tff(func_def_2153,type,
    sK711: fun_nat_int > nat ).

tff(func_def_2154,type,
    sK712: fun_nat_int > nat ).

tff(func_def_2155,type,
    sK713: fun_nat_int > nat ).

tff(func_def_2156,type,
    sK714: fun_nat_real > nat ).

tff(func_def_2157,type,
    sK715: fun_nat_real > nat ).

tff(func_def_2158,type,
    sK716: fun_nat_real > nat ).

tff(func_def_2159,type,
    sK717: fun_nat_real > nat ).

tff(func_def_2160,type,
    sK718: fun_nat_real > nat ).

tff(func_def_2161,type,
    sK719: set_num > num ).

tff(func_def_2162,type,
    sK720: set_rat > rat ).

tff(func_def_2163,type,
    sK721: list_nat > nat ).

tff(func_def_2164,type,
    sK722: list_nat > list_nat ).

tff(func_def_2165,type,
    sK723: option_num > num ).

tff(func_def_2166,type,
    sK724: set_real > real ).

tff(func_def_2167,type,
    sK725: set_real > real ).

tff(func_def_2168,type,
    sK726: set_real > real ).

tff(func_def_2169,type,
    sK727: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2170,type,
    sK728: set_complex > complex ).

tff(func_def_2171,type,
    sK729: set_complex > complex ).

tff(func_def_2172,type,
    sK730: option_nat > nat ).

tff(func_def_2173,type,
    sK731: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2174,type,
    sK732: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2175,type,
    sK733: set_int > int ).

tff(func_def_2176,type,
    sK734: set_int > int ).

tff(func_def_2177,type,
    sK735: set_int > int ).

tff(func_def_2178,type,
    sK736: set_bool > bool ).

tff(func_def_2179,type,
    sK737: set_nat > nat ).

tff(func_def_2180,type,
    sK738: set_bool > bool ).

tff(func_def_2181,type,
    sK739: set_bool > bool ).

tff(func_def_2182,type,
    sK740: set_nat > nat ).

tff(func_def_2183,type,
    sK741: set_nat > nat ).

tff(func_def_2184,type,
    sK742: nat > nat ).

tff(func_def_2185,type,
    sK743: nat > nat ).

tff(func_def_2186,type,
    sK744: nat > nat ).

tff(func_def_2187,type,
    sK745: nat > nat ).

tff(func_def_2188,type,
    sK746: num > num ).

tff(func_def_2189,type,
    sK747: num > num ).

tff(func_def_2190,type,
    sK748: vEBT_VEBT > bool ).

tff(func_def_2191,type,
    sK749: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2192,type,
    sK750: vEBT_VEBT > nat ).

tff(func_def_2193,type,
    sK751: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2194,type,
    sK752: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2195,type,
    sK753: vEBT_VEBT > bool ).

tff(func_def_2196,type,
    sK754: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2197,type,
    sK755: vEBT_VEBT > nat ).

tff(func_def_2198,type,
    sK756: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2199,type,
    sK757: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2200,type,
    sK758: vEBT_VEBT > bool ).

tff(func_def_2201,type,
    sK759: vEBT_VEBT > bool ).

tff(func_def_2202,type,
    sK760: vEBT_VEBT > nat ).

tff(func_def_2203,type,
    sK761: fun_nat_bool > nat ).

tff(func_def_2204,type,
    sK762: set_num > num ).

tff(func_def_2205,type,
    sK763: set_rat > rat ).

tff(func_def_2206,type,
    sK764: set_num > num ).

tff(func_def_2207,type,
    sK765: set_num > num ).

tff(func_def_2208,type,
    sK766: set_rat > rat ).

tff(func_def_2209,type,
    sK767: set_rat > rat ).

tff(func_def_2210,type,
    sK768: vEBT_VEBT > nat ).

tff(func_def_2211,type,
    sK769: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2212,type,
    sK770: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2213,type,
    sK771: vEBT_VEBT > nat ).

tff(func_def_2214,type,
    sK772: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2215,type,
    sK773: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2216,type,
    sK774: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_2217,type,
    sK775: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_2218,type,
    sK776: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_2219,type,
    sK777: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2220,type,
    sK778: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2221,type,
    sK779: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2222,type,
    sK780: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat ).

tff(func_def_2223,type,
    sK781: set_real > real ).

tff(func_def_2224,type,
    sK782: set_int > int ).

tff(func_def_2225,type,
    sK783: set_int > set_int ).

tff(func_def_2226,type,
    sK784: set_int > int ).

tff(func_def_2227,type,
    sK785: set_int > int ).

tff(func_def_2228,type,
    sK786: set_int > int ).

tff(func_def_2229,type,
    sK787: set_int > int ).

tff(func_def_2230,type,
    sK788: set_bool > bool ).

tff(func_def_2231,type,
    sK789: set_bool > set_bool ).

tff(func_def_2232,type,
    sK790: set_bool > bool ).

tff(func_def_2233,type,
    sK791: set_bool > bool ).

tff(func_def_2234,type,
    sK792: set_bool > bool ).

tff(func_def_2235,type,
    sK793: set_bool > bool ).

tff(func_def_2236,type,
    sK794: set_complex > set_complex ).

tff(func_def_2237,type,
    sK795: set_complex > complex ).

tff(func_def_2238,type,
    sK796: set_complex > list_complex ).

tff(func_def_2239,type,
    sK797: set_nat > nat ).

tff(func_def_2240,type,
    sK798: set_nat > set_nat ).

tff(func_def_2241,type,
    sK799: set_nat > nat ).

tff(func_def_2242,type,
    sK800: set_nat > nat ).

tff(func_def_2243,type,
    sK801: set_nat > nat ).

tff(func_def_2244,type,
    sK802: set_nat > nat ).

tff(func_def_2245,type,
    sK803: set_nat > list_nat ).

tff(func_def_2246,type,
    sK804: set_nat > nat ).

tff(func_def_2247,type,
    sK805: product_prod_num_num > num ).

tff(func_def_2248,type,
    sK806: product_prod_num_num > num ).

tff(func_def_2249,type,
    sK807: product_prod_num_num > num ).

tff(func_def_2250,type,
    sK808: product_prod_num_num > num ).

tff(func_def_2251,type,
    sK809: product_prod_num_num > num ).

tff(func_def_2252,type,
    sK810: product_prod_num_num > num ).

tff(func_def_2253,type,
    sK811: product_prod_num_num > num ).

tff(func_def_2254,type,
    sK812: product_prod_num_num > num ).

tff(func_def_2255,type,
    sK813: product_prod_num_num > num ).

tff(func_def_2256,type,
    sK814: product_prod_num_num > num ).

tff(func_def_2257,type,
    sK815: product_prod_num_num > num ).

tff(func_def_2258,type,
    sK816: product_prod_num_num > num ).

tff(func_def_2259,type,
    sK817: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_2260,type,
    sK818: vEBT_VEBT > nat ).

tff(func_def_2261,type,
    sK819: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2262,type,
    sK820: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2263,type,
    sK821: vEBT_VEBT > nat ).

tff(func_def_2264,type,
    sK822: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2265,type,
    sK823: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2266,type,
    sK824: vEBT_VEBT > bool ).

tff(func_def_2267,type,
    sK825: vEBT_VEBT > bool ).

tff(func_def_2268,type,
    sK826: complex > real ).

tff(func_def_2269,type,
    sK827: vEBT_VEBT > bool ).

tff(func_def_2270,type,
    sK828: vEBT_VEBT > bool ).

tff(func_def_2271,type,
    sK829: fun_nat_real > nat ).

tff(func_def_2272,type,
    sK830: fun_nat_real > nat ).

tff(func_def_2273,type,
    sK831: fun_nat_real > nat ).

tff(func_def_2274,type,
    sK832: fun_nat_real > nat ).

tff(func_def_2275,type,
    sK833: fun_nat_real > nat ).

tff(func_def_2276,type,
    sK834: fun_nat_real > nat ).

tff(func_def_2277,type,
    sK835: int > nat ).

tff(func_def_2278,type,
    sK836: rat > nat ).

tff(func_def_2279,type,
    sK837: real > nat ).

tff(func_def_2280,type,
    sK838: real > real ).

tff(func_def_2281,type,
    sK839: real > nat ).

tff(func_def_2282,type,
    sK840: real > nat ).

tff(func_def_2283,type,
    sK841: real > real ).

tff(func_def_2284,type,
    sK842: nat > nat ).

tff(func_def_2285,type,
    sK843: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2286,type,
    sK844: fun_nat_rat > rat ).

tff(func_def_2287,type,
    sK845: fun_nat_rat > nat ).

tff(func_def_2288,type,
    sK846: fun_nat_real > fun_nat_int ).

tff(func_def_2289,type,
    sK847: bool > product_unit ).

tff(func_def_2290,type,
    sK848: real > real ).

tff(func_def_2291,type,
    sK849: real > real ).

tff(func_def_2292,type,
    sK850: code_integer > code_integer ).

tff(func_def_2293,type,
    sK851: int > int ).

tff(func_def_2294,type,
    sK852: nat > nat ).

tff(func_def_2295,type,
    sK853: code_integer > code_integer ).

tff(func_def_2296,type,
    sK854: int > int ).

tff(func_def_2297,type,
    sK855: nat > nat ).

tff(func_def_2298,type,
    sK856: nat > nat ).

tff(func_def_2299,type,
    sK857: nat > nat ).

tff(func_def_2300,type,
    sK858: int > nat ).

tff(func_def_2301,type,
    sK859: int > nat ).

tff(func_def_2302,type,
    sK860: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2303,type,
    sK861: set_real > real ).

tff(func_def_2304,type,
    sK862: set_int > int ).

tff(func_def_2305,type,
    sK863: set_bool > bool ).

tff(func_def_2306,type,
    sK864: set_complex > complex ).

tff(func_def_2307,type,
    sK865: set_nat > nat ).

tff(func_def_2308,type,
    sK866: nat > nat ).

tff(func_def_2309,type,
    sK867: nat > nat ).

tff(func_def_2310,type,
    sK868: fun_nat_set_nat > nat ).

tff(func_def_2311,type,
    sK869: fun_nat_set_nat > nat ).

tff(func_def_2312,type,
    sK870: fun_nat_num > nat ).

tff(func_def_2313,type,
    sK871: fun_nat_num > nat ).

tff(func_def_2314,type,
    sK872: fun_nat_int > nat ).

tff(func_def_2315,type,
    sK873: fun_nat_int > nat ).

tff(func_def_2316,type,
    sK874: fun_nat_rat > nat ).

tff(func_def_2317,type,
    sK875: fun_nat_rat > nat ).

tff(func_def_2318,type,
    sK876: fun_nat_real > nat ).

tff(func_def_2319,type,
    sK877: fun_nat_real > nat ).

tff(func_def_2320,type,
    sK878: fun_nat_real > real ).

tff(func_def_2321,type,
    sK879: fun_nat_real > nat ).

tff(func_def_2322,type,
    sK880: fun_nat_real > nat ).

tff(func_def_2323,type,
    sK881: fun_nat_nat > nat ).

tff(func_def_2324,type,
    sK882: fun_nat_nat > nat ).

tff(func_def_2325,type,
    sK883: rat > rat ).

tff(func_def_2326,type,
    sK884: fun_nat_rat > rat ).

tff(func_def_2327,type,
    sK885: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2328,type,
    sK886: fun_nat_rat > rat ).

tff(func_def_2329,type,
    sK887: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2330,type,
    sK888: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2331,type,
    sK889: real > real ).

tff(func_def_2332,type,
    sK890: code_integer > nat ).

tff(func_def_2333,type,
    sK891: int > nat ).

tff(func_def_2334,type,
    sK892: nat > nat ).

tff(func_def_2335,type,
    sK893: fun_nat_real > real ).

tff(func_def_2336,type,
    sK894: ( fun_nat_real * nat ) > nat ).

tff(func_def_2337,type,
    sK895: vEBT_VEBT > nat ).

tff(func_def_2338,type,
    sK896: vEBT_VEBT > nat ).

tff(func_def_2339,type,
    sK897: vEBT_VEBT > nat ).

tff(func_def_2340,type,
    sK898: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2341,type,
    sK899: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2342,type,
    sK900: vEBT_VEBT > nat ).

tff(func_def_2343,type,
    sK901: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2344,type,
    sK902: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2345,type,
    sK903: vEBT_VEBT > bool ).

tff(func_def_2346,type,
    sK904: vEBT_VEBT > bool ).

tff(func_def_2347,type,
    sK905: produc6167219322466932359on_num > fun_num_fun_num_bool ).

tff(func_def_2348,type,
    sK906: produc6167219322466932359on_num > num ).

tff(func_def_2349,type,
    sK907: produc6167219322466932359on_num > num ).

tff(func_def_2350,type,
    sK908: produc6167219322466932359on_num > fun_num_fun_num_bool ).

tff(func_def_2351,type,
    sK909: produc6167219322466932359on_num > num ).

tff(func_def_2352,type,
    sK910: produc6167219322466932359on_num > fun_num_fun_num_bool ).

tff(func_def_2353,type,
    sK911: produc6167219322466932359on_num > option_num ).

tff(func_def_2354,type,
    sK912: produc2703417854250991842on_num > fun_num_fun_num_num ).

tff(func_def_2355,type,
    sK913: produc2703417854250991842on_num > num ).

tff(func_def_2356,type,
    sK914: produc2703417854250991842on_num > num ).

tff(func_def_2357,type,
    sK915: produc2703417854250991842on_num > fun_num_fun_num_num ).

tff(func_def_2358,type,
    sK916: produc2703417854250991842on_num > num ).

tff(func_def_2359,type,
    sK917: produc2703417854250991842on_num > fun_num_fun_num_num ).

tff(func_def_2360,type,
    sK918: produc2703417854250991842on_num > option_num ).

tff(func_def_2361,type,
    sK919: produc1260151622200656695at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_2362,type,
    sK920: produc1260151622200656695at_nat > product_prod_nat_nat ).

tff(func_def_2363,type,
    sK921: produc1260151622200656695at_nat > product_prod_nat_nat ).

tff(func_def_2364,type,
    sK922: produc1260151622200656695at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_2365,type,
    sK923: produc1260151622200656695at_nat > product_prod_nat_nat ).

tff(func_def_2366,type,
    sK924: produc1260151622200656695at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_2367,type,
    sK925: produc1260151622200656695at_nat > option4927543243414619207at_nat ).

tff(func_def_2368,type,
    sK926: produc533602882674032673at_nat > fun_Pr248683899324676269t_bool ).

tff(func_def_2369,type,
    sK927: produc533602882674032673at_nat > product_prod_nat_nat ).

tff(func_def_2370,type,
    sK928: produc533602882674032673at_nat > product_prod_nat_nat ).

tff(func_def_2371,type,
    sK929: produc533602882674032673at_nat > fun_Pr248683899324676269t_bool ).

tff(func_def_2372,type,
    sK930: produc533602882674032673at_nat > product_prod_nat_nat ).

tff(func_def_2373,type,
    sK931: produc533602882674032673at_nat > fun_Pr248683899324676269t_bool ).

tff(func_def_2374,type,
    sK932: produc533602882674032673at_nat > option4927543243414619207at_nat ).

tff(func_def_2375,type,
    sK933: produc7004362771917097900on_nat > fun_nat_fun_nat_nat ).

tff(func_def_2376,type,
    sK934: produc7004362771917097900on_nat > nat ).

tff(func_def_2377,type,
    sK935: produc7004362771917097900on_nat > nat ).

tff(func_def_2378,type,
    sK936: produc7004362771917097900on_nat > fun_nat_fun_nat_nat ).

tff(func_def_2379,type,
    sK937: produc7004362771917097900on_nat > nat ).

tff(func_def_2380,type,
    sK938: produc7004362771917097900on_nat > fun_nat_fun_nat_nat ).

tff(func_def_2381,type,
    sK939: produc7004362771917097900on_nat > option_nat ).

tff(func_def_2382,type,
    sK940: produc3700678068921409119on_nat > fun_nat_fun_nat_bool ).

tff(func_def_2383,type,
    sK941: produc3700678068921409119on_nat > nat ).

tff(func_def_2384,type,
    sK942: produc3700678068921409119on_nat > nat ).

tff(func_def_2385,type,
    sK943: produc3700678068921409119on_nat > fun_nat_fun_nat_bool ).

tff(func_def_2386,type,
    sK944: produc3700678068921409119on_nat > nat ).

tff(func_def_2387,type,
    sK945: produc3700678068921409119on_nat > fun_nat_fun_nat_bool ).

tff(func_def_2388,type,
    sK946: produc3700678068921409119on_nat > option_nat ).

tff(func_def_2389,type,
    sK947: produc9072475918466114483BT_nat > nat ).

tff(func_def_2390,type,
    sK948: produc9072475918466114483BT_nat > nat ).

tff(func_def_2391,type,
    sK949: produc9072475918466114483BT_nat > nat ).

tff(func_def_2392,type,
    sK950: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2393,type,
    sK951: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2394,type,
    sK952: produc9072475918466114483BT_nat > nat ).

tff(func_def_2395,type,
    sK953: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2396,type,
    sK954: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2397,type,
    sK955: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2398,type,
    sK956: produc9072475918466114483BT_nat > nat ).

tff(func_def_2399,type,
    sK957: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2400,type,
    sK958: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2401,type,
    sK959: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2402,type,
    sK960: produc9072475918466114483BT_nat > nat ).

tff(func_def_2403,type,
    sK961: produc9072475918466114483BT_nat > nat ).

tff(func_def_2404,type,
    sK962: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2405,type,
    sK963: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2406,type,
    sK964: produc9072475918466114483BT_nat > nat ).

tff(func_def_2407,type,
    sK965: produc9072475918466114483BT_nat > bool ).

tff(func_def_2408,type,
    sK966: produc9072475918466114483BT_nat > bool ).

tff(func_def_2409,type,
    sK967: produc9072475918466114483BT_nat > nat ).

tff(func_def_2410,type,
    sK968: produc9072475918466114483BT_nat > bool ).

tff(func_def_2411,type,
    sK969: produc9072475918466114483BT_nat > bool ).

tff(func_def_2412,type,
    sK970: produc9072475918466114483BT_nat > bool ).

tff(func_def_2413,type,
    sK971: produc9072475918466114483BT_nat > bool ).

tff(func_def_2414,type,
    sK972: produc9072475918466114483BT_nat > nat ).

tff(func_def_2415,type,
    sK973: produc9072475918466114483BT_nat > nat ).

tff(func_def_2416,type,
    sK974: produc9072475918466114483BT_nat > nat ).

tff(func_def_2417,type,
    sK975: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2418,type,
    sK976: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2419,type,
    sK977: produc9072475918466114483BT_nat > nat ).

tff(func_def_2420,type,
    sK978: produc9072475918466114483BT_nat > nat ).

tff(func_def_2421,type,
    sK979: produc9072475918466114483BT_nat > nat ).

tff(func_def_2422,type,
    sK980: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2423,type,
    sK981: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2424,type,
    sK982: produc9072475918466114483BT_nat > nat ).

tff(func_def_2425,type,
    sK983: produc9072475918466114483BT_nat > nat ).

tff(func_def_2426,type,
    sK984: produc9072475918466114483BT_nat > nat ).

tff(func_def_2427,type,
    sK985: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2428,type,
    sK986: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2429,type,
    sK987: produc9072475918466114483BT_nat > nat ).

tff(func_def_2430,type,
    sK988: produc9072475918466114483BT_nat > nat ).

tff(func_def_2431,type,
    sK989: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2432,type,
    sK990: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2433,type,
    sK991: produc9072475918466114483BT_nat > nat ).

tff(func_def_2434,type,
    sK992: produc9072475918466114483BT_nat > bool ).

tff(func_def_2435,type,
    sK993: produc9072475918466114483BT_nat > bool ).

tff(func_def_2436,type,
    sK994: produc9072475918466114483BT_nat > nat ).

tff(func_def_2437,type,
    sK995: produc9072475918466114483BT_nat > bool ).

tff(func_def_2438,type,
    sK996: produc9072475918466114483BT_nat > bool ).

tff(func_def_2439,type,
    sK997: produc9072475918466114483BT_nat > bool ).

tff(func_def_2440,type,
    sK998: produc9072475918466114483BT_nat > bool ).

tff(func_def_2441,type,
    sK999: produc9072475918466114483BT_nat > nat ).

tff(func_def_2442,type,
    sK1000: produc9072475918466114483BT_nat > nat ).

tff(func_def_2443,type,
    sK1001: produc9072475918466114483BT_nat > nat ).

tff(func_def_2444,type,
    sK1002: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2445,type,
    sK1003: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2446,type,
    sK1004: produc9072475918466114483BT_nat > nat ).

tff(func_def_2447,type,
    sK1005: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2448,type,
    sK1006: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2449,type,
    sK1007: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2450,type,
    sK1008: produc9072475918466114483BT_nat > nat ).

tff(func_def_2451,type,
    sK1009: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2452,type,
    sK1010: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2453,type,
    sK1011: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2454,type,
    sK1012: produc9072475918466114483BT_nat > nat ).

tff(func_def_2455,type,
    sK1013: produc9072475918466114483BT_nat > nat ).

tff(func_def_2456,type,
    sK1014: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2457,type,
    sK1015: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2458,type,
    sK1016: produc9072475918466114483BT_nat > nat ).

tff(func_def_2459,type,
    sK1017: produc9072475918466114483BT_nat > bool ).

tff(func_def_2460,type,
    sK1018: produc9072475918466114483BT_nat > bool ).

tff(func_def_2461,type,
    sK1019: produc9072475918466114483BT_nat > nat ).

tff(func_def_2462,type,
    sK1020: produc9072475918466114483BT_nat > bool ).

tff(func_def_2463,type,
    sK1021: produc9072475918466114483BT_nat > bool ).

tff(func_def_2464,type,
    sK1022: set_nat > nat ).

tff(func_def_2465,type,
    sK1023: set_nat > nat ).

tff(func_def_2466,type,
    sK1024: fun_nat_set_nat > nat ).

tff(func_def_2467,type,
    sK1025: fun_nat_set_nat > nat ).

tff(func_def_2468,type,
    sK1026: fun_nat_set_nat > nat ).

tff(func_def_2469,type,
    sK1027: fun_nat_set_nat > nat ).

tff(func_def_2470,type,
    sK1028: fun_nat_num > nat ).

tff(func_def_2471,type,
    sK1029: fun_nat_num > nat ).

tff(func_def_2472,type,
    sK1030: fun_nat_num > nat ).

tff(func_def_2473,type,
    sK1031: fun_nat_num > nat ).

tff(func_def_2474,type,
    sK1032: fun_nat_int > nat ).

tff(func_def_2475,type,
    sK1033: fun_nat_int > nat ).

tff(func_def_2476,type,
    sK1034: fun_nat_int > nat ).

tff(func_def_2477,type,
    sK1035: fun_nat_int > nat ).

tff(func_def_2478,type,
    sK1036: fun_nat_rat > nat ).

tff(func_def_2479,type,
    sK1037: fun_nat_rat > nat ).

tff(func_def_2480,type,
    sK1038: fun_nat_rat > nat ).

tff(func_def_2481,type,
    sK1039: fun_nat_rat > nat ).

tff(func_def_2482,type,
    sK1040: fun_nat_real > nat ).

tff(func_def_2483,type,
    sK1041: fun_nat_real > nat ).

tff(func_def_2484,type,
    sK1042: fun_nat_real > nat ).

tff(func_def_2485,type,
    sK1043: fun_nat_real > nat ).

tff(func_def_2486,type,
    sK1044: fun_nat_nat > nat ).

tff(func_def_2487,type,
    sK1045: fun_nat_nat > nat ).

tff(func_def_2488,type,
    sK1046: fun_nat_nat > nat ).

tff(func_def_2489,type,
    sK1047: fun_nat_nat > nat ).

tff(func_def_2490,type,
    sK1048: produc7272778201969148633d_enat > option4927543243414619207at_nat ).

tff(func_def_2491,type,
    sK1049: produc7272778201969148633d_enat > nat ).

tff(func_def_2492,type,
    sK1050: produc7272778201969148633d_enat > list_VEBT_VEBT ).

tff(func_def_2493,type,
    sK1051: produc7272778201969148633d_enat > vEBT_VEBT ).

tff(func_def_2494,type,
    sK1052: produc7272778201969148633d_enat > nat ).

tff(func_def_2495,type,
    sK1053: produc7272778201969148633d_enat > option4927543243414619207at_nat ).

tff(func_def_2496,type,
    sK1054: produc7272778201969148633d_enat > nat ).

tff(func_def_2497,type,
    sK1055: produc7272778201969148633d_enat > list_VEBT_VEBT ).

tff(func_def_2498,type,
    sK1056: produc7272778201969148633d_enat > vEBT_VEBT ).

tff(func_def_2499,type,
    sK1057: produc7272778201969148633d_enat > bool ).

tff(func_def_2500,type,
    sK1058: produc7272778201969148633d_enat > bool ).

tff(func_def_2501,type,
    sK1059: produc7272778201969148633d_enat > extended_enat ).

tff(func_def_2502,type,
    sK1060: produc9072475918466114483BT_nat > nat ).

tff(func_def_2503,type,
    sK1061: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2504,type,
    sK1062: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2505,type,
    sK1063: produc9072475918466114483BT_nat > nat ).

tff(func_def_2506,type,
    sK1064: produc9072475918466114483BT_nat > nat ).

tff(func_def_2507,type,
    sK1065: produc9072475918466114483BT_nat > nat ).

tff(func_def_2508,type,
    sK1066: produc9072475918466114483BT_nat > nat ).

tff(func_def_2509,type,
    sK1067: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2510,type,
    sK1068: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2511,type,
    sK1069: produc9072475918466114483BT_nat > nat ).

tff(func_def_2512,type,
    sK1070: produc9072475918466114483BT_nat > nat ).

tff(func_def_2513,type,
    sK1071: produc9072475918466114483BT_nat > nat ).

tff(func_def_2514,type,
    sK1072: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2515,type,
    sK1073: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2516,type,
    sK1074: produc9072475918466114483BT_nat > nat ).

tff(func_def_2517,type,
    sK1075: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2518,type,
    sK1076: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2519,type,
    sK1077: produc9072475918466114483BT_nat > nat ).

tff(func_def_2520,type,
    sK1078: produc9072475918466114483BT_nat > bool ).

tff(func_def_2521,type,
    sK1079: produc9072475918466114483BT_nat > bool ).

tff(func_def_2522,type,
    sK1080: produc9072475918466114483BT_nat > nat ).

tff(func_def_2523,type,
    sK1081: produc9072475918466114483BT_nat > nat ).

tff(func_def_2524,type,
    sK1082: produc9072475918466114483BT_nat > nat ).

tff(func_def_2525,type,
    sK1083: produc9072475918466114483BT_nat > nat ).

tff(func_def_2526,type,
    sK1084: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2527,type,
    sK1085: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2528,type,
    sK1086: produc9072475918466114483BT_nat > nat ).

tff(func_def_2529,type,
    sK1087: produc9072475918466114483BT_nat > nat ).

tff(func_def_2530,type,
    sK1088: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2531,type,
    sK1089: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2532,type,
    sK1090: produc9072475918466114483BT_nat > nat ).

tff(func_def_2533,type,
    sK1091: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2534,type,
    sK1092: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2535,type,
    sK1093: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2536,type,
    sK1094: produc9072475918466114483BT_nat > nat ).

tff(func_def_2537,type,
    sK1095: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2538,type,
    sK1096: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2539,type,
    sK1097: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2540,type,
    sK1098: produc9072475918466114483BT_nat > nat ).

tff(func_def_2541,type,
    sK1099: produc9072475918466114483BT_nat > bool ).

tff(func_def_2542,type,
    sK1100: produc9072475918466114483BT_nat > bool ).

tff(func_def_2543,type,
    sK1101: produc9072475918466114483BT_nat > nat ).

tff(func_def_2544,type,
    sK1102: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2545,type,
    sK1103: produc9072475918466114483BT_nat > nat ).

tff(func_def_2546,type,
    sK1104: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2547,type,
    sK1105: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2548,type,
    sK1106: produc9072475918466114483BT_nat > nat ).

tff(func_def_2549,type,
    sK1107: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2550,type,
    sK1108: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2551,type,
    sK1109: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2552,type,
    sK1110: produc9072475918466114483BT_nat > nat ).

tff(func_def_2553,type,
    sK1111: produc9072475918466114483BT_nat > bool ).

tff(func_def_2554,type,
    sK1112: produc9072475918466114483BT_nat > bool ).

tff(func_def_2555,type,
    sK1113: produc9072475918466114483BT_nat > nat ).

tff(func_def_2556,type,
    sK1114: produc9072475918466114483BT_nat > nat ).

tff(func_def_2557,type,
    sK1115: produc9072475918466114483BT_nat > nat ).

tff(func_def_2558,type,
    sK1116: produc9072475918466114483BT_nat > nat ).

tff(func_def_2559,type,
    sK1117: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2560,type,
    sK1118: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2561,type,
    sK1119: produc9072475918466114483BT_nat > nat ).

tff(func_def_2562,type,
    sK1120: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2563,type,
    sK1121: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2564,type,
    sK1122: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2565,type,
    sK1123: produc9072475918466114483BT_nat > nat ).

tff(func_def_2566,type,
    sK1124: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_2567,type,
    sK1125: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2568,type,
    sK1126: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2569,type,
    sK1127: produc9072475918466114483BT_nat > nat ).

tff(func_def_2570,type,
    sK1128: produc9072475918466114483BT_nat > nat ).

tff(func_def_2571,type,
    sK1129: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2572,type,
    sK1130: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2573,type,
    sK1131: produc9072475918466114483BT_nat > nat ).

tff(func_def_2574,type,
    sK1132: produc9072475918466114483BT_nat > bool ).

tff(func_def_2575,type,
    sK1133: produc9072475918466114483BT_nat > bool ).

tff(func_def_2576,type,
    sK1134: produc9072475918466114483BT_nat > nat ).

tff(func_def_2577,type,
    sK1135: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_2578,type,
    sK1136: produc9072475918466114483BT_nat > nat ).

tff(func_def_2579,type,
    sK1137: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_2580,type,
    sK1138: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_2581,type,
    sK1139: produc9072475918466114483BT_nat > nat ).

tff(func_def_2582,type,
    sK1140: produc9072475918466114483BT_nat > bool ).

tff(func_def_2583,type,
    sK1141: produc9072475918466114483BT_nat > bool ).

tff(func_def_2584,type,
    sK1142: produc9072475918466114483BT_nat > nat ).

tff(func_def_2585,type,
    sK1143: vEBT_VEBT > bool ).

tff(func_def_2586,type,
    sK1144: vEBT_VEBT > bool ).

tff(func_def_2587,type,
    sK1145: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2588,type,
    sK1146: vEBT_VEBT > nat ).

tff(func_def_2589,type,
    sK1147: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2590,type,
    sK1148: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2591,type,
    sK1149: fun_nat_rat > rat ).

tff(func_def_2592,type,
    sK1150: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2593,type,
    sK1151: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2594,type,
    sK1152: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2595,type,
    sK1153: fun_nat_rat > rat ).

tff(func_def_2596,type,
    sK1154: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2597,type,
    sK1155: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2598,type,
    sK1156: fun_nat_set_nat > nat ).

tff(func_def_2599,type,
    sK1157: fun_nat_set_nat > nat ).

tff(func_def_2600,type,
    sK1158: fun_nat_num > nat ).

tff(func_def_2601,type,
    sK1159: fun_nat_num > nat ).

tff(func_def_2602,type,
    sK1160: fun_nat_int > nat ).

tff(func_def_2603,type,
    sK1161: fun_nat_int > nat ).

tff(func_def_2604,type,
    sK1162: fun_nat_rat > nat ).

tff(func_def_2605,type,
    sK1163: fun_nat_rat > nat ).

tff(func_def_2606,type,
    sK1164: fun_nat_nat > nat ).

tff(func_def_2607,type,
    sK1165: fun_nat_nat > nat ).

tff(func_def_2608,type,
    sK1166: fun_nat_set_nat > nat ).

tff(func_def_2609,type,
    sK1167: fun_nat_set_nat > nat ).

tff(func_def_2610,type,
    sK1168: fun_nat_set_nat > nat ).

tff(func_def_2611,type,
    sK1169: fun_nat_set_nat > nat ).

tff(func_def_2612,type,
    sK1170: fun_nat_num > nat ).

tff(func_def_2613,type,
    sK1171: fun_nat_num > nat ).

tff(func_def_2614,type,
    sK1172: fun_nat_num > nat ).

tff(func_def_2615,type,
    sK1173: fun_nat_num > nat ).

tff(func_def_2616,type,
    sK1174: fun_nat_int > nat ).

tff(func_def_2617,type,
    sK1175: fun_nat_int > nat ).

tff(func_def_2618,type,
    sK1176: fun_nat_int > nat ).

tff(func_def_2619,type,
    sK1177: fun_nat_int > nat ).

tff(func_def_2620,type,
    sK1178: fun_nat_rat > nat ).

tff(func_def_2621,type,
    sK1179: fun_nat_rat > nat ).

tff(func_def_2622,type,
    sK1180: fun_nat_rat > nat ).

tff(func_def_2623,type,
    sK1181: fun_nat_rat > nat ).

tff(func_def_2624,type,
    sK1182: fun_nat_nat > nat ).

tff(func_def_2625,type,
    sK1183: fun_nat_nat > nat ).

tff(func_def_2626,type,
    sK1184: fun_nat_nat > nat ).

tff(func_def_2627,type,
    sK1185: fun_nat_nat > nat ).

tff(func_def_2628,type,
    sK1186: fun_nat_real > nat ).

tff(func_def_2629,type,
    sK1187: fun_nat_real > nat ).

tff(func_def_2630,type,
    sK1188: fun_nat_real > nat ).

tff(func_def_2631,type,
    sK1189: fun_nat_real > nat ).

tff(func_def_2632,type,
    sK1190: fun_nat_real > nat ).

tff(func_def_2633,type,
    sK1191: fun_nat_real > nat ).

tff(func_def_2634,type,
    sK1192: option_num > num ).

tff(func_def_2635,type,
    sK1193: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2636,type,
    sK1194: option_nat > nat ).

tff(func_def_2637,type,
    sK1195: filter_nat > nat ).

tff(func_def_2638,type,
    sK1196: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2639,type,
    sK1197: fun_nat_bool > nat ).

tff(func_def_2640,type,
    sK1198: set_nat > nat ).

tff(func_def_2641,type,
    sK1199: ( set_nat * nat ) > nat ).

tff(func_def_2642,type,
    sK1200: fun_Pr7757163693017731481t_bool > product_prod_nat_nat ).

tff(func_def_2643,type,
    sK1201: fun_Pr7757163693017731481t_bool > product_prod_nat_nat ).

tff(func_def_2644,type,
    sK1202: fun_int_bool > int ).

tff(func_def_2645,type,
    sK1203: fun_int_bool > int ).

tff(func_def_2646,type,
    sK1204: fun_bool_bool > bool ).

tff(func_def_2647,type,
    sK1205: fun_bool_bool > bool ).

tff(func_def_2648,type,
    sK1206: fun_nat_bool > nat ).

tff(func_def_2649,type,
    sK1207: fun_nat_bool > nat ).

tff(func_def_2650,type,
    sK1208: fun_set_nat_bool > set_nat ).

tff(func_def_2651,type,
    sK1209: fun_set_nat_bool > set_nat ).

tff(func_def_2652,type,
    sK1210: fun_list_nat_bool > list_nat ).

tff(func_def_2653,type,
    sK1211: fun_list_nat_bool > list_nat ).

tff(func_def_2654,type,
    sK1212: fun_complex_bool > complex ).

tff(func_def_2655,type,
    sK1213: fun_complex_bool > complex ).

tff(func_def_2656,type,
    sK1214: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2657,type,
    sK1215: fun_nat_rat > rat ).

tff(func_def_2658,type,
    sK1216: fun_nat_rat > nat ).

tff(func_def_2659,type,
    sK1217: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_2660,type,
    sK1218: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_2661,type,
    sK1219: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_2662,type,
    sK1220: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2663,type,
    sK1221: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2664,type,
    sK1222: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2665,type,
    sK1223: set_int > int ).

tff(func_def_2666,type,
    sK1224: set_int > set_int ).

tff(func_def_2667,type,
    sK1225: set_int > int ).

tff(func_def_2668,type,
    sK1226: set_bool > bool ).

tff(func_def_2669,type,
    sK1227: set_bool > set_bool ).

tff(func_def_2670,type,
    sK1228: set_bool > bool ).

tff(func_def_2671,type,
    sK1229: set_complex > set_complex ).

tff(func_def_2672,type,
    sK1230: set_complex > complex ).

tff(func_def_2673,type,
    sK1231: set_nat > nat ).

tff(func_def_2674,type,
    sK1232: set_nat > set_nat ).

tff(func_def_2675,type,
    sK1233: set_nat > nat ).

tff(func_def_2676,type,
    sK1234: set_nat > nat ).

tff(func_def_2677,type,
    sK1235: set_nat > nat ).

tff(func_def_2678,type,
    sK1236: ( set_nat * nat ) > nat ).

tff(func_def_2679,type,
    sK1237: set_nat > nat ).

tff(func_def_2680,type,
    sK1238: ( real * rat * nat ) > nat ).

tff(func_def_2681,type,
    sK1239: real > rat ).

tff(func_def_2682,type,
    sK1240: real > nat ).

tff(func_def_2683,type,
    sK1241: real > nat ).

tff(func_def_2684,type,
    sK1242: real > nat ).

tff(func_def_2685,type,
    sK1243: real > int ).

tff(func_def_2686,type,
    sK1244: real > nat ).

tff(func_def_2687,type,
    sK1245: real > nat ).

tff(func_def_2688,type,
    sK1246: real > int ).

tff(func_def_2689,type,
    sK1247: real > nat ).

tff(func_def_2690,type,
    sK1248: real > nat ).

tff(func_def_2691,type,
    sK1249: real > int ).

tff(func_def_2692,type,
    sK1250: vEBT_VEBT > bool ).

tff(func_def_2693,type,
    sK1251: vEBT_VEBT > bool ).

tff(func_def_2694,type,
    sK1252: ( fun_Pr7757163693017731481t_bool * nat ) > nat ).

tff(func_def_2695,type,
    sK1253: ( fun_Pr7757163693017731481t_bool * nat ) > nat ).

tff(func_def_2696,type,
    sK1254: fun_Pr7757163693017731481t_bool > nat ).

tff(func_def_2697,type,
    sK1255: nat > nat ).

tff(func_def_2698,type,
    sK1256: option_num > num ).

tff(func_def_2699,type,
    sK1257: option_nat > nat ).

tff(func_def_2700,type,
    sK1258: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_2701,type,
    sK1259: fun_option_num_bool > num ).

tff(func_def_2702,type,
    sK1260: fun_option_num_bool > option_num ).

tff(func_def_2703,type,
    sK1261: fun_op2627489687811228755t_bool > product_prod_nat_nat ).

tff(func_def_2704,type,
    sK1262: fun_op2627489687811228755t_bool > option4927543243414619207at_nat ).

tff(func_def_2705,type,
    sK1263: fun_option_nat_bool > nat ).

tff(func_def_2706,type,
    sK1264: fun_option_nat_bool > option_nat ).

tff(func_def_2707,type,
    sK1265: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2708,type,
    sK1266: set_real > real ).

tff(func_def_2709,type,
    sK1267: set_int > int ).

tff(func_def_2710,type,
    sK1268: set_bool > bool ).

tff(func_def_2711,type,
    sK1269: set_complex > complex ).

tff(func_def_2712,type,
    sK1270: set_nat > nat ).

tff(func_def_2713,type,
    sK1271: fun_option_num_bool > option_num ).

tff(func_def_2714,type,
    sK1272: fun_option_num_bool > num ).

tff(func_def_2715,type,
    sK1273: fun_op2627489687811228755t_bool > option4927543243414619207at_nat ).

tff(func_def_2716,type,
    sK1274: fun_op2627489687811228755t_bool > product_prod_nat_nat ).

tff(func_def_2717,type,
    sK1275: fun_option_nat_bool > option_nat ).

tff(func_def_2718,type,
    sK1276: fun_option_nat_bool > nat ).

tff(func_def_2719,type,
    sK1277: fun_nat_bool > nat ).

tff(func_def_2720,type,
    sK1278: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2721,type,
    sK1279: fun_nat_bool > nat ).

tff(func_def_2722,type,
    sK1280: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_2723,type,
    sK1281: set_real > real ).

tff(func_def_2724,type,
    sK1282: set_int > int ).

tff(func_def_2725,type,
    sK1283: set_bool > bool ).

tff(func_def_2726,type,
    sK1284: set_complex > complex ).

tff(func_def_2727,type,
    sK1285: set_nat > nat ).

tff(func_def_2728,type,
    sK1286: real > int ).

tff(func_def_2729,type,
    sK1287: product_unit > bool ).

tff(func_def_2730,type,
    sK1288: int > nat ).

tff(func_def_2731,type,
    sK1289: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2732,type,
    sK1290: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2733,type,
    sK1291: product_prod_nat_num > nat ).

tff(func_def_2734,type,
    sK1292: product_prod_nat_num > num ).

tff(func_def_2735,type,
    sK1293: product_prod_num_num > num ).

tff(func_def_2736,type,
    sK1294: product_prod_num_num > num ).

tff(func_def_2737,type,
    sK1295: product_prod_nat_nat > nat ).

tff(func_def_2738,type,
    sK1296: product_prod_nat_nat > nat ).

tff(func_def_2739,type,
    sK1297: product_prod_nat_nat > nat ).

tff(func_def_2740,type,
    sK1298: product_prod_nat_nat > nat ).

tff(func_def_2741,type,
    sK1299: product_prod_int_int > int ).

tff(func_def_2742,type,
    sK1300: product_prod_int_int > int ).

tff(func_def_2743,type,
    sK1301: int > nat ).

tff(func_def_2744,type,
    sK1302: int > nat ).

tff(func_def_2745,type,
    sK1303: produc8114805097830739791at_num > fun_nat_fun_num_num ).

tff(func_def_2746,type,
    sK1304: produc8114805097830739791at_num > nat ).

tff(func_def_2747,type,
    sK1305: produc8114805097830739791at_num > nat ).

tff(func_def_2748,type,
    sK1306: produc8114805097830739791at_num > num ).

tff(func_def_2749,type,
    sK1307: produc9217583074051984497at_nat > fun_nat_fun_nat_nat ).

tff(func_def_2750,type,
    sK1308: produc9217583074051984497at_nat > nat ).

tff(func_def_2751,type,
    sK1309: produc9217583074051984497at_nat > nat ).

tff(func_def_2752,type,
    sK1310: produc9217583074051984497at_nat > nat ).

tff(func_def_2753,type,
    sK1311: nat > list_int ).

tff(func_def_2754,type,
    sK1312: nat > list_nat ).

tff(func_def_2755,type,
    sK1313: nat > list_bool ).

tff(func_def_2756,type,
    sK1314: nat > list_VEBT_VEBT ).

tff(func_def_2757,type,
    sK1315: int > int ).

tff(func_def_2758,type,
    sK1316: int > int ).

tff(func_def_2759,type,
    sK1317: rat > rat ).

tff(func_def_2760,type,
    sK1318: rat > rat ).

tff(func_def_2761,type,
    sK1319: real > real ).

tff(func_def_2762,type,
    sK1320: real > real ).

tff(func_def_2763,type,
    sK1321: nat > nat ).

tff(func_def_2764,type,
    sK1322: rat > int ).

tff(func_def_2765,type,
    sK1323: rat > nat ).

tff(func_def_2766,type,
    sK1324: real > int ).

tff(func_def_2767,type,
    sK1325: real > nat ).

tff(func_def_2768,type,
    sK1326: rat > int ).

tff(func_def_2769,type,
    sK1327: rat > int ).

tff(func_def_2770,type,
    sK1328: real > int ).

tff(func_def_2771,type,
    sK1329: real > int ).

tff(func_def_2772,type,
    sK1330: real > real ).

tff(func_def_2773,type,
    sK1331: real > real ).

tff(func_def_2774,type,
    sK1332: num > num ).

tff(func_def_2775,type,
    sK1333: num > num ).

tff(func_def_2776,type,
    sK1334: num > num ).

tff(func_def_2777,type,
    sK1335: num > num ).

tff(func_def_2778,type,
    sK1336: int > int ).

tff(func_def_2779,type,
    sK1337: int > int ).

tff(func_def_2780,type,
    sK1338: int > int ).

tff(func_def_2781,type,
    sK1339: int > int ).

tff(func_def_2782,type,
    sK1340: rat > rat ).

tff(func_def_2783,type,
    sK1341: rat > rat ).

tff(func_def_2784,type,
    sK1342: rat > rat ).

tff(func_def_2785,type,
    sK1343: rat > rat ).

tff(func_def_2786,type,
    sK1344: real > real ).

tff(func_def_2787,type,
    sK1345: real > real ).

tff(func_def_2788,type,
    sK1346: real > real ).

tff(func_def_2789,type,
    sK1347: real > real ).

tff(func_def_2790,type,
    sK1348: nat > nat ).

tff(func_def_2791,type,
    sK1349: nat > nat ).

tff(func_def_2792,type,
    sK1350: nat > nat ).

tff(func_def_2793,type,
    sK1351: nat > nat ).

tff(func_def_2794,type,
    sK1352: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2795,type,
    sK1353: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2796,type,
    sK1354: product_prod_nat_num > nat ).

tff(func_def_2797,type,
    sK1355: product_prod_nat_num > num ).

tff(func_def_2798,type,
    sK1356: product_prod_num_num > num ).

tff(func_def_2799,type,
    sK1357: product_prod_num_num > num ).

tff(func_def_2800,type,
    sK1358: product_prod_nat_nat > nat ).

tff(func_def_2801,type,
    sK1359: product_prod_nat_nat > nat ).

tff(func_def_2802,type,
    sK1360: product_prod_int_int > int ).

tff(func_def_2803,type,
    sK1361: product_prod_int_int > int ).

tff(func_def_2804,type,
    sK1362: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_2805,type,
    sK1363: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_2806,type,
    sK1364: ( fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2807,type,
    sK1365: ( fun_nat_rat * fun_nat_rat * nat ) > nat ).

tff(func_def_2808,type,
    sK1366: ( fun_nat_rat * fun_nat_rat * rat ) > nat ).

tff(func_def_2809,type,
    sK1367: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2810,type,
    sK1368: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2811,type,
    sK1369: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_2812,type,
    sK1370: fun_nat_nat > nat ).

tff(func_def_2813,type,
    sK1371: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2814,type,
    sK1372: ( fun_nat_nat * nat ) > nat ).

tff(func_def_2815,type,
    sK1373: ( fun_nat_int * set_nat ) > nat ).

tff(func_def_2816,type,
    sK1374: fun_nat_int > nat ).

tff(func_def_2817,type,
    sK1375: ( fun_nat_int * int ) > nat ).

tff(func_def_2818,type,
    sK1376: ( fun_nat_int * nat ) > nat ).

tff(func_def_2819,type,
    sK1377: ( fun_nat_complex * real ) > nat ).

tff(func_def_2820,type,
    sK1378: ( fun_nat_real * set_nat ) > nat ).

tff(func_def_2821,type,
    sK1379: ( fun_nat_real * real ) > nat ).

tff(func_def_2822,type,
    sK1380: fun_nat_real > nat ).

tff(func_def_2823,type,
    sK1381: ( fun_nat_real * real ) > nat ).

tff(func_def_2824,type,
    sK1382: ( fun_nat_real * nat ) > nat ).

tff(func_def_2825,type,
    sK1383: ( fun_nat_real * nat ) > nat ).

tff(func_def_2826,type,
    sK1384: ( real * nat ) > real ).

tff(func_def_2827,type,
    sK1385: ( nat * nat ) > nat ).

tff(func_def_2828,type,
    sK1386: ( nat * nat ) > nat ).

tff(func_def_2829,type,
    sK1387: ( nat * nat ) > nat ).

tff(func_def_2830,type,
    sK1388: ( nat * nat ) > nat ).

tff(func_def_2831,type,
    sK1389: ( nat * nat ) > nat ).

tff(func_def_2832,type,
    sK1390: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2833,type,
    sK1391: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2834,type,
    sK1392: ( option_nat * vEBT_VEBT ) > nat ).

tff(func_def_2835,type,
    sK1393: ( option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2836,type,
    sK1394: ( option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2837,type,
    sK1395: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2838,type,
    sK1396: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2839,type,
    sK1397: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2840,type,
    sK1398: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2841,type,
    sK1399: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2842,type,
    sK1400: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_2843,type,
    sK1401: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_2844,type,
    sK1402: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2845,type,
    sK1403: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2846,type,
    sK1404: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2847,type,
    sK1405: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2848,type,
    sK1406: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2849,type,
    sK1407: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_2850,type,
    sK1408: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_2851,type,
    sK1409: vEBT_VEBT > nat ).

tff(func_def_2852,type,
    sK1410: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2853,type,
    sK1411: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2854,type,
    sK1412: ( option_nat * vEBT_VEBT ) > nat ).

tff(func_def_2855,type,
    sK1413: ( option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_2856,type,
    sK1414: ( option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2857,type,
    sK1415: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2858,type,
    sK1416: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2859,type,
    sK1417: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2860,type,
    sK1418: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2861,type,
    sK1419: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2862,type,
    sK1420: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_2863,type,
    sK1421: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_2864,type,
    sK1422: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2865,type,
    sK1423: ( option_nat * vEBT_VEBT ) > bool ).

tff(func_def_2866,type,
    sK1424: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2867,type,
    sK1425: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2868,type,
    sK1426: ( vEBT_VEBT * option_nat ) > nat ).

tff(func_def_2869,type,
    sK1427: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).

tff(func_def_2870,type,
    sK1428: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).

tff(func_def_2871,type,
    sK1429: vEBT_VEBT > nat ).

tff(func_def_2872,type,
    sK1430: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2873,type,
    sK1431: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2874,type,
    sK1432: fun_set_num_bool > num ).

tff(func_def_2875,type,
    sK1433: fun_set_num_bool > set_num ).

tff(func_def_2876,type,
    sK1434: fun_set_num_bool > num ).

tff(func_def_2877,type,
    sK1435: fun_set_num_bool > set_num ).

tff(func_def_2878,type,
    sK1436: fun_set_rat_bool > rat ).

tff(func_def_2879,type,
    sK1437: fun_set_rat_bool > set_rat ).

tff(func_def_2880,type,
    sK1438: fun_set_rat_bool > rat ).

tff(func_def_2881,type,
    sK1439: fun_set_rat_bool > set_rat ).

tff(func_def_2882,type,
    sK1440: ( set_num * num ) > num ).

tff(func_def_2883,type,
    sK1441: ( set_num * num ) > num ).

tff(func_def_2884,type,
    sK1442: ( set_rat * rat ) > rat ).

tff(func_def_2885,type,
    sK1443: ( set_rat * rat ) > rat ).

tff(func_def_2886,type,
    sK1444: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_2887,type,
    sK1445: fun_se8353504738346895699t_bool > produc3843707927480180839at_nat ).

tff(func_def_2888,type,
    sK1446: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_2889,type,
    sK1447: fun_se8353504738346895699t_bool > produc3843707927480180839at_nat ).

tff(func_def_2890,type,
    sK1448: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_2891,type,
    sK1449: ( set_Pr4329608150637261639at_nat * fun_se8353504738346895699t_bool ) > set_Pr4329608150637261639at_nat ).

tff(func_def_2892,type,
    sK1450: fun_se8353504738346895699t_bool > produc3843707927480180839at_nat ).

tff(func_def_2893,type,
    sK1451: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_2894,type,
    sK1452: fun_se8353504738346895699t_bool > produc3843707927480180839at_nat ).

tff(func_def_2895,type,
    sK1453: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_2896,type,
    sK1454: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_2897,type,
    sK1455: fun_se8074476271188067385t_bool > product_prod_nat_nat ).

tff(func_def_2898,type,
    sK1456: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_2899,type,
    sK1457: fun_se8074476271188067385t_bool > product_prod_nat_nat ).

tff(func_def_2900,type,
    sK1458: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_2901,type,
    sK1459: ( set_Pr1261947904930325089at_nat * fun_se8074476271188067385t_bool ) > set_Pr1261947904930325089at_nat ).

tff(func_def_2902,type,
    sK1460: fun_se8074476271188067385t_bool > product_prod_nat_nat ).

tff(func_def_2903,type,
    sK1461: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_2904,type,
    sK1462: fun_se8074476271188067385t_bool > product_prod_nat_nat ).

tff(func_def_2905,type,
    sK1463: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_2906,type,
    sK1464: fun_Pr248683899324676269t_bool > product_prod_nat_nat ).

tff(func_def_2907,type,
    sK1465: fun_Pr248683899324676269t_bool > product_prod_nat_nat ).

tff(func_def_2908,type,
    sK1466: fun_Pr248683899324676269t_bool > product_prod_nat_nat ).

tff(func_def_2909,type,
    sK1467: ( set_Pr1261947904930325089at_nat * fun_Pr248683899324676269t_bool ) > product_prod_nat_nat ).

tff(func_def_2910,type,
    sK1468: fun_Pr248683899324676269t_bool > product_prod_nat_nat ).

tff(func_def_2911,type,
    sK1469: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_2912,type,
    sK1470: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_2913,type,
    sK1471: ( set_Pr1261947904930325089at_nat * fun_Pr6026251430685297nteger ) > product_prod_nat_nat ).

tff(func_def_2914,type,
    sK1472: ( set_Pr1261947904930325089at_nat * fun_Pr7647638413817135296at_int ) > product_prod_nat_nat ).

tff(func_def_2915,type,
    sK1473: ( set_Pr1261947904930325089at_nat * fun_Pr2602117396471556196at_nat ) > product_prod_nat_nat ).

tff(func_def_2916,type,
    sK1474: fun_num_bool > num ).

tff(func_def_2917,type,
    sK1475: ( fun_set_real_bool * set_real ) > set_real ).

tff(func_def_2918,type,
    sK1476: fun_set_real_bool > real ).

tff(func_def_2919,type,
    sK1477: fun_set_real_bool > set_real ).

tff(func_def_2920,type,
    sK1478: fun_set_real_bool > real ).

tff(func_def_2921,type,
    sK1479: ( set_real * fun_real_rat ) > real ).

tff(func_def_2922,type,
    sK1480: ( set_real * fun_real_rat ) > real ).

tff(func_def_2923,type,
    sK1481: ( set_real * fun_real_real ) > real ).

tff(func_def_2924,type,
    sK1482: ( set_real * fun_real_real ) > real ).

tff(func_def_2925,type,
    sK1483: ( set_real * fun_real_nat ) > real ).

tff(func_def_2926,type,
    sK1484: ( fun_set_real_bool * set_real ) > set_real ).

tff(func_def_2927,type,
    sK1485: fun_set_real_bool > real ).

tff(func_def_2928,type,
    sK1486: fun_set_real_bool > set_real ).

tff(func_def_2929,type,
    sK1487: fun_set_real_bool > real ).

tff(func_def_2930,type,
    sK1488: fun_set_real_bool > set_real ).

tff(func_def_2931,type,
    sK1489: fun_set_real_bool > real ).

tff(func_def_2932,type,
    sK1490: fun_set_real_bool > set_real ).

tff(func_def_2933,type,
    sK1491: fun_set_real_bool > real ).

tff(func_def_2934,type,
    sK1492: fun_set_real_bool > set_real ).

tff(func_def_2935,type,
    sK1493: ( set_real * real ) > real ).

tff(func_def_2936,type,
    sK1494: ( set_real * real ) > real ).

tff(func_def_2937,type,
    sK1495: fun_re1255401033344146673l_bool > real ).

tff(func_def_2938,type,
    sK1496: fun_re1255401033344146673l_bool > real ).

tff(func_def_2939,type,
    sK1497: fun_re1255401033344146673l_bool > real ).

tff(func_def_2940,type,
    sK1498: ( set_real * fun_re1255401033344146673l_bool ) > real ).

tff(func_def_2941,type,
    sK1499: fun_re1255401033344146673l_bool > real ).

tff(func_def_2942,type,
    sK1500: ( fun_real_rat * set_real ) > real ).

tff(func_def_2943,type,
    sK1501: ( set_real * fun_real_rat ) > real ).

tff(func_def_2944,type,
    sK1502: ( fun_real_real * set_real ) > real ).

tff(func_def_2945,type,
    sK1503: ( set_real * fun_real_real ) > real ).

tff(func_def_2946,type,
    sK1504: ( fun_real_nat * set_real ) > real ).

tff(func_def_2947,type,
    sK1505: ( set_real * fun_real_nat ) > real ).

tff(func_def_2948,type,
    sK1506: ( fun_set_int_bool * set_int ) > set_int ).

tff(func_def_2949,type,
    sK1507: fun_set_int_bool > int ).

tff(func_def_2950,type,
    sK1508: fun_set_int_bool > set_int ).

tff(func_def_2951,type,
    sK1509: fun_set_int_bool > int ).

tff(func_def_2952,type,
    sK1510: ( set_int * fun_int_rat ) > int ).

tff(func_def_2953,type,
    sK1511: ( set_int * fun_int_rat ) > int ).

tff(func_def_2954,type,
    sK1512: ( set_int * fun_int_real ) > int ).

tff(func_def_2955,type,
    sK1513: ( set_int * fun_int_real ) > int ).

tff(func_def_2956,type,
    sK1514: ( fun_set_int_bool * set_int ) > set_int ).

tff(func_def_2957,type,
    sK1515: ( set_int * fun_set_int_bool ) > set_int ).

tff(func_def_2958,type,
    sK1516: fun_set_int_bool > int ).

tff(func_def_2959,type,
    sK1517: fun_set_int_bool > set_int ).

tff(func_def_2960,type,
    sK1518: fun_set_int_bool > int ).

tff(func_def_2961,type,
    sK1519: fun_set_int_bool > set_int ).

tff(func_def_2962,type,
    sK1520: fun_set_int_bool > int ).

tff(func_def_2963,type,
    sK1521: fun_set_int_bool > set_int ).

tff(func_def_2964,type,
    sK1522: fun_set_int_bool > int ).

tff(func_def_2965,type,
    sK1523: fun_set_int_bool > set_int ).

tff(func_def_2966,type,
    sK1524: ( set_int * int ) > int ).

tff(func_def_2967,type,
    sK1525: ( set_int * int ) > int ).

tff(func_def_2968,type,
    sK1526: fun_int_fun_int_bool > int ).

tff(func_def_2969,type,
    sK1527: fun_int_fun_int_bool > int ).

tff(func_def_2970,type,
    sK1528: fun_int_fun_int_bool > int ).

tff(func_def_2971,type,
    sK1529: ( set_int * fun_int_fun_int_bool ) > int ).

tff(func_def_2972,type,
    sK1530: fun_int_fun_int_bool > int ).

tff(func_def_2973,type,
    sK1531: ( fun_int_rat * set_int ) > int ).

tff(func_def_2974,type,
    sK1532: ( set_int * fun_int_rat ) > int ).

tff(func_def_2975,type,
    sK1533: ( fun_int_real * set_int ) > int ).

tff(func_def_2976,type,
    sK1534: ( set_int * fun_int_real ) > int ).

tff(func_def_2977,type,
    sK1535: ( set_int * fun_int_int ) > int ).

tff(func_def_2978,type,
    sK1536: ( fun_set_bool_bool * set_bool ) > set_bool ).

tff(func_def_2979,type,
    sK1537: fun_set_bool_bool > bool ).

tff(func_def_2980,type,
    sK1538: fun_set_bool_bool > set_bool ).

tff(func_def_2981,type,
    sK1539: fun_set_bool_bool > bool ).

tff(func_def_2982,type,
    sK1540: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_2983,type,
    sK1541: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_2984,type,
    sK1542: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_2985,type,
    sK1543: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_2986,type,
    sK1544: ( fun_set_bool_bool * set_bool ) > set_bool ).

tff(func_def_2987,type,
    sK1545: ( set_bool * fun_set_bool_bool ) > set_bool ).

tff(func_def_2988,type,
    sK1546: fun_set_bool_bool > bool ).

tff(func_def_2989,type,
    sK1547: fun_set_bool_bool > set_bool ).

tff(func_def_2990,type,
    sK1548: fun_set_bool_bool > bool ).

tff(func_def_2991,type,
    sK1549: fun_set_bool_bool > set_bool ).

tff(func_def_2992,type,
    sK1550: fun_set_bool_bool > bool ).

tff(func_def_2993,type,
    sK1551: fun_set_bool_bool > set_bool ).

tff(func_def_2994,type,
    sK1552: fun_set_bool_bool > bool ).

tff(func_def_2995,type,
    sK1553: fun_set_bool_bool > set_bool ).

tff(func_def_2996,type,
    sK1554: ( set_bool * bool ) > bool ).

tff(func_def_2997,type,
    sK1555: ( set_bool * bool ) > bool ).

tff(func_def_2998,type,
    sK1556: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_2999,type,
    sK1557: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_3000,type,
    sK1558: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_3001,type,
    sK1559: ( set_bool * fun_bo1841576699660343469l_bool ) > bool ).

tff(func_def_3002,type,
    sK1560: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_3003,type,
    sK1561: ( fun_bool_rat * set_bool ) > bool ).

tff(func_def_3004,type,
    sK1562: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3005,type,
    sK1563: ( fun_bool_real * set_bool ) > bool ).

tff(func_def_3006,type,
    sK1564: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3007,type,
    sK1565: ( fun_set_complex_bool * set_complex ) > set_complex ).

tff(func_def_3008,type,
    sK1566: fun_set_complex_bool > complex ).

tff(func_def_3009,type,
    sK1567: fun_set_complex_bool > set_complex ).

tff(func_def_3010,type,
    sK1568: fun_set_complex_bool > complex ).

tff(func_def_3011,type,
    sK1569: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3012,type,
    sK1570: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3013,type,
    sK1571: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3014,type,
    sK1572: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3015,type,
    sK1573: ( fun_set_complex_bool * set_complex ) > set_complex ).

tff(func_def_3016,type,
    sK1574: ( set_complex * fun_set_complex_bool ) > set_complex ).

tff(func_def_3017,type,
    sK1575: fun_set_complex_bool > complex ).

tff(func_def_3018,type,
    sK1576: fun_set_complex_bool > set_complex ).

tff(func_def_3019,type,
    sK1577: fun_set_complex_bool > complex ).

tff(func_def_3020,type,
    sK1578: fun_set_complex_bool > set_complex ).

tff(func_def_3021,type,
    sK1579: fun_co1378794544173401837x_bool > complex ).

tff(func_def_3022,type,
    sK1580: fun_co1378794544173401837x_bool > complex ).

tff(func_def_3023,type,
    sK1581: fun_co1378794544173401837x_bool > complex ).

tff(func_def_3024,type,
    sK1582: ( set_complex * fun_co1378794544173401837x_bool ) > complex ).

tff(func_def_3025,type,
    sK1583: fun_co1378794544173401837x_bool > complex ).

tff(func_def_3026,type,
    sK1584: ( fun_complex_rat * set_complex ) > complex ).

tff(func_def_3027,type,
    sK1585: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3028,type,
    sK1586: ( fun_complex_real * set_complex ) > complex ).

tff(func_def_3029,type,
    sK1587: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3030,type,
    sK1588: ( fun_complex_nat * set_complex * complex ) > complex ).

tff(func_def_3031,type,
    sK1589: ( fun_complex_nat * set_complex ) > complex ).

tff(func_def_3032,type,
    sK1590: ( set_complex * fun_co8153928105989009288nteger ) > complex ).

tff(func_def_3033,type,
    sK1591: ( set_complex * fun_complex_int ) > complex ).

tff(func_def_3034,type,
    sK1592: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_3035,type,
    sK1593: ( fun_set_nat_bool * set_nat ) > set_nat ).

tff(func_def_3036,type,
    sK1594: fun_set_nat_bool > nat ).

tff(func_def_3037,type,
    sK1595: fun_set_nat_bool > set_nat ).

tff(func_def_3038,type,
    sK1596: fun_set_nat_bool > nat ).

tff(func_def_3039,type,
    sK1597: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3040,type,
    sK1598: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3041,type,
    sK1599: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3042,type,
    sK1600: ( fun_set_nat_bool * set_nat ) > set_nat ).

tff(func_def_3043,type,
    sK1601: ( set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_3044,type,
    sK1602: fun_set_nat_bool > nat ).

tff(func_def_3045,type,
    sK1603: fun_set_nat_bool > set_nat ).

tff(func_def_3046,type,
    sK1604: fun_set_nat_bool > nat ).

tff(func_def_3047,type,
    sK1605: fun_set_nat_bool > set_nat ).

tff(func_def_3048,type,
    sK1606: fun_set_nat_bool > nat ).

tff(func_def_3049,type,
    sK1607: fun_set_nat_bool > set_nat ).

tff(func_def_3050,type,
    sK1608: fun_set_nat_bool > nat ).

tff(func_def_3051,type,
    sK1609: fun_set_nat_bool > set_nat ).

tff(func_def_3052,type,
    sK1610: ( set_nat * nat ) > nat ).

tff(func_def_3053,type,
    sK1611: ( set_nat * nat ) > nat ).

tff(func_def_3054,type,
    sK1612: fun_nat_fun_nat_bool > nat ).

tff(func_def_3055,type,
    sK1613: fun_nat_fun_nat_bool > nat ).

tff(func_def_3056,type,
    sK1614: fun_nat_fun_nat_bool > nat ).

tff(func_def_3057,type,
    sK1615: ( set_nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_3058,type,
    sK1616: fun_nat_fun_nat_bool > nat ).

tff(func_def_3059,type,
    sK1617: ( fun_nat_rat * set_nat ) > nat ).

tff(func_def_3060,type,
    sK1618: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3061,type,
    sK1619: ( fun_nat_nat * set_nat * nat ) > nat ).

tff(func_def_3062,type,
    sK1620: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_3063,type,
    sK1621: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_3064,type,
    sK1622: ( set_nat * fun_nat_Code_integer ) > nat ).

tff(func_def_3065,type,
    sK1623: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3066,type,
    sK1624: fun_int_bool > int ).

tff(func_def_3067,type,
    sK1625: fun_int_bool > int ).

tff(func_def_3068,type,
    sK1626: fun_nat_bool > nat ).

tff(func_def_3069,type,
    sK1627: fun_nat_bool > nat ).

tff(func_def_3070,type,
    sK1628: fun_nat_bool > nat ).

tff(func_def_3071,type,
    sK1629: fun_nat_bool > nat ).

tff(func_def_3072,type,
    sK1630: fun_nat_bool > nat ).

tff(func_def_3073,type,
    sK1631: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_3074,type,
    sK1632: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_3075,type,
    sK1633: fun_set_int_bool > set_int ).

tff(func_def_3076,type,
    sK1634: fun_set_bool_bool > set_bool ).

tff(func_def_3077,type,
    sK1635: fun_set_complex_bool > set_complex ).

tff(func_def_3078,type,
    sK1636: fun_set_nat_bool > set_nat ).

tff(func_def_3079,type,
    sK1637: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3080,type,
    sK1638: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3081,type,
    sK1639: fun_nat_bool > nat ).

tff(func_def_3082,type,
    sK1640: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3083,type,
    sK1641: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3084,type,
    sK1642: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3085,type,
    sK1643: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3086,type,
    sK1644: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3087,type,
    sK1645: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3088,type,
    sK1646: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3089,type,
    sK1647: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3090,type,
    sK1648: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3091,type,
    sK1649: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3092,type,
    sK1650: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3093,type,
    sK1651: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3094,type,
    sK1652: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3095,type,
    sK1653: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3096,type,
    sK1654: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3097,type,
    sK1655: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_3098,type,
    sK1656: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3099,type,
    sK1657: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3100,type,
    sK1658: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3101,type,
    sK1659: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3102,type,
    sK1660: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3103,type,
    sK1661: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3104,type,
    sK1662: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3105,type,
    sK1663: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3106,type,
    sK1664: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3107,type,
    sK1665: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3108,type,
    sK1666: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3109,type,
    sK1667: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3110,type,
    sK1668: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3111,type,
    sK1669: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3112,type,
    sK1670: vEBT_VEBT > bool ).

tff(func_def_3113,type,
    sK1671: vEBT_VEBT > bool ).

tff(func_def_3114,type,
    sK1672: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3115,type,
    sK1673: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3116,type,
    sK1674: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3117,type,
    sK1675: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3118,type,
    sK1676: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3119,type,
    sK1677: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3120,type,
    sK1678: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3121,type,
    sK1679: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3122,type,
    sK1680: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3123,type,
    sK1681: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3124,type,
    sK1682: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3125,type,
    sK1683: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3126,type,
    sK1684: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3127,type,
    sK1685: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3128,type,
    sK1686: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3129,type,
    sK1687: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3130,type,
    sK1688: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3131,type,
    sK1689: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3132,type,
    sK1690: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3133,type,
    sK1691: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3134,type,
    sK1692: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3135,type,
    sK1693: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3136,type,
    sK1694: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3137,type,
    sK1695: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3138,type,
    sK1696: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3139,type,
    sK1697: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3140,type,
    sK1698: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3141,type,
    sK1699: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3142,type,
    sK1700: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3143,type,
    sK1701: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3144,type,
    sK1702: vEBT_VEBT > bool ).

tff(func_def_3145,type,
    sK1703: vEBT_VEBT > bool ).

tff(func_def_3146,type,
    sK1704: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3147,type,
    sK1705: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3148,type,
    sK1706: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3149,type,
    sK1707: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3150,type,
    sK1708: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3151,type,
    sK1709: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3152,type,
    sK1710: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3153,type,
    sK1711: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3154,type,
    sK1712: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3155,type,
    sK1713: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3156,type,
    sK1714: ( vEBT_VEBT * nat ) > product_prod_nat_nat ).

tff(func_def_3157,type,
    sK1715: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3158,type,
    sK1716: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3159,type,
    sK1717: ( vEBT_VEBT * nat ) > product_prod_nat_nat ).

tff(func_def_3160,type,
    sK1718: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3161,type,
    sK1719: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3162,type,
    sK1720: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3163,type,
    sK1721: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3164,type,
    sK1722: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3165,type,
    sK1723: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3166,type,
    sK1724: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3167,type,
    sK1725: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3168,type,
    sK1726: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3169,type,
    sK1727: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3170,type,
    sK1728: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3171,type,
    sK1729: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3172,type,
    sK1730: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3173,type,
    sK1731: vEBT_VEBT > nat ).

tff(func_def_3174,type,
    sK1732: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3175,type,
    sK1733: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3176,type,
    sK1734: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3177,type,
    sK1735: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3178,type,
    sK1736: ( list_int * list_int ) > nat ).

tff(func_def_3179,type,
    sK1737: ( list_nat * list_nat ) > nat ).

tff(func_def_3180,type,
    sK1738: ( list_bool * list_bool ) > nat ).

tff(func_def_3181,type,
    sK1739: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3182,type,
    sK1740: ( list_nat * nat ) > nat ).

tff(func_def_3183,type,
    sK1741: ( list_nat * nat ) > list_nat ).

tff(func_def_3184,type,
    sK1742: ( list_nat * nat ) > nat ).

tff(func_def_3185,type,
    sK1743: ( list_nat * nat ) > list_nat ).

tff(func_def_3186,type,
    sK1744: ( nat * list_nat ) > nat ).

tff(func_def_3187,type,
    sK1745: ( nat * list_nat ) > nat ).

tff(func_def_3188,type,
    sK1746: fun_nat_bool > nat ).

tff(func_def_3189,type,
    sK1747: ( fun_nat_fun_num_bool * product_prod_nat_num ) > nat ).

tff(func_def_3190,type,
    sK1748: ( fun_nat_fun_num_bool * product_prod_nat_num ) > num ).

tff(func_def_3191,type,
    sK1749: ( fun_se1534075524646452397t_bool * produc3843707927480180839at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3192,type,
    sK1750: ( fun_se1534075524646452397t_bool * produc3843707927480180839at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3193,type,
    sK1751: ( fun_num_fun_num_bool * product_prod_num_num ) > num ).

tff(func_def_3194,type,
    sK1752: ( fun_num_fun_num_bool * product_prod_num_num ) > num ).

tff(func_def_3195,type,
    sK1753: ( fun_int_fun_int_bool * product_prod_int_int ) > int ).

tff(func_def_3196,type,
    sK1754: ( fun_int_fun_int_bool * product_prod_int_int ) > int ).

tff(func_def_3197,type,
    sK1755: ( fun_nat_fun_nat_bool * product_prod_nat_nat ) > nat ).

tff(func_def_3198,type,
    sK1756: ( fun_nat_fun_nat_bool * product_prod_nat_nat ) > nat ).

tff(func_def_3199,type,
    sK1757: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_3200,type,
    sK1758: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_3201,type,
    sK1759: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3202,type,
    sK1760: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3203,type,
    sK1761: ( set_real * set_real ) > real ).

tff(func_def_3204,type,
    sK1762: ( real * set_real ) > set_real ).

tff(func_def_3205,type,
    sK1763: ( real * set_real ) > set_real ).

tff(func_def_3206,type,
    sK1764: ( set_int * set_int ) > int ).

tff(func_def_3207,type,
    sK1765: ( int * set_int ) > set_int ).

tff(func_def_3208,type,
    sK1766: ( int * set_int ) > set_int ).

tff(func_def_3209,type,
    sK1767: ( set_bool * set_bool ) > bool ).

tff(func_def_3210,type,
    sK1768: ( bool * set_bool ) > set_bool ).

tff(func_def_3211,type,
    sK1769: ( bool * set_bool ) > set_bool ).

tff(func_def_3212,type,
    sK1770: ( set_complex * set_complex ) > complex ).

tff(func_def_3213,type,
    sK1771: ( complex * set_complex ) > set_complex ).

tff(func_def_3214,type,
    sK1772: ( complex * set_complex ) > set_complex ).

tff(func_def_3215,type,
    sK1773: ( set_nat * set_nat ) > nat ).

tff(func_def_3216,type,
    sK1774: ( nat * set_nat ) > set_nat ).

tff(func_def_3217,type,
    sK1775: ( nat * set_nat ) > set_nat ).

tff(func_def_3218,type,
    sK1776: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3219,type,
    sK1777: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3220,type,
    sK1778: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3221,type,
    sK1779: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3222,type,
    sK1780: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3223,type,
    sK1781: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3224,type,
    sK1782: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3225,type,
    sK1783: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3226,type,
    sK1784: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3227,type,
    sK1785: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3228,type,
    sK1786: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3229,type,
    sK1787: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3230,type,
    sK1788: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3231,type,
    sK1789: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3232,type,
    sK1790: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3233,type,
    sK1791: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3234,type,
    sK1792: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3235,type,
    sK1793: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3236,type,
    sK1794: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3237,type,
    sK1795: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3238,type,
    sK1796: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3239,type,
    sK1797: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3240,type,
    sK1798: vEBT_VEBT > bool ).

tff(func_def_3241,type,
    sK1799: vEBT_VEBT > bool ).

tff(func_def_3242,type,
    sK1800: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3243,type,
    sK1801: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3244,type,
    sK1802: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3245,type,
    sK1803: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3246,type,
    sK1804: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3247,type,
    sK1805: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3248,type,
    sK1806: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3249,type,
    sK1807: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3250,type,
    sK1808: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3251,type,
    sK1809: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3252,type,
    sK1810: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3253,type,
    sK1811: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3254,type,
    sK1812: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3255,type,
    sK1813: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3256,type,
    sK1814: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3257,type,
    sK1815: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3258,type,
    sK1816: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3259,type,
    sK1817: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3260,type,
    sK1818: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3261,type,
    sK1819: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3262,type,
    sK1820: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3263,type,
    sK1821: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3264,type,
    sK1822: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3265,type,
    sK1823: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3266,type,
    sK1824: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3267,type,
    sK1825: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3268,type,
    sK1826: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3269,type,
    sK1827: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3270,type,
    sK1828: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3271,type,
    sK1829: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3272,type,
    sK1830: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3273,type,
    sK1831: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3274,type,
    sK1832: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3275,type,
    sK1833: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3276,type,
    sK1834: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3277,type,
    sK1835: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3278,type,
    sK1836: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3279,type,
    sK1837: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3280,type,
    sK1838: vEBT_VEBT > bool ).

tff(func_def_3281,type,
    sK1839: vEBT_VEBT > bool ).

tff(func_def_3282,type,
    sK1840: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3283,type,
    sK1841: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3284,type,
    sK1842: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3285,type,
    sK1843: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3286,type,
    sK1844: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3287,type,
    sK1845: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3288,type,
    sK1846: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3289,type,
    sK1847: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3290,type,
    sK1848: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3291,type,
    sK1849: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3292,type,
    sK1850: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3293,type,
    sK1851: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3294,type,
    sK1852: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3295,type,
    sK1853: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3296,type,
    sK1854: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3297,type,
    sK1855: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3298,type,
    sK1856: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3299,type,
    sK1857: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3300,type,
    sK1858: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3301,type,
    sK1859: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3302,type,
    sK1860: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3303,type,
    sK1861: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3304,type,
    sK1862: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3305,type,
    sK1863: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3306,type,
    sK1864: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3307,type,
    sK1865: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3308,type,
    sK1866: vEBT_VEBT > bool ).

tff(func_def_3309,type,
    sK1867: vEBT_VEBT > bool ).

tff(func_def_3310,type,
    sK1868: fun_nat_real > nat ).

tff(func_def_3311,type,
    sK1869: fun_nat_real > nat ).

tff(func_def_3312,type,
    sK1870: fun_nat_real > nat ).

tff(func_def_3313,type,
    sK1871: fun_nat_real > nat ).

tff(func_def_3314,type,
    sK1872: ( real * real ) > nat ).

tff(func_def_3315,type,
    sK1873: ( real * fun_nat_complex ) > nat ).

tff(func_def_3316,type,
    sK1874: ( real * fun_nat_real ) > nat ).

tff(func_def_3317,type,
    sK1875: ( real * real ) > nat ).

tff(func_def_3318,type,
    sK1876: ( real * nat ) > real ).

tff(func_def_3319,type,
    sK1877: ( real * nat ) > real ).

tff(func_def_3320,type,
    sK1878: ( real * nat ) > real ).

tff(func_def_3321,type,
    sK1879: ( real * real ) > real ).

tff(func_def_3322,type,
    sK1880: ( real * real ) > real ).

tff(func_def_3323,type,
    sK1881: fun_nat_bool > nat ).

tff(func_def_3324,type,
    sK1882: ( nat * real ) > real ).

tff(func_def_3325,type,
    sK1883: ( nat * real ) > real ).

tff(func_def_3326,type,
    sK1884: ( nat * real ) > real ).

tff(func_def_3327,type,
    sK1885: ( nat * real ) > real ).

tff(func_def_3328,type,
    sK1886: ( rat * rat ) > rat ).

tff(func_def_3329,type,
    sK1887: ( real * real ) > real ).

tff(func_def_3330,type,
    sK1888: ( nat * nat ) > nat ).

tff(func_def_3331,type,
    sK1889: ( nat * nat ) > nat ).

tff(func_def_3332,type,
    sK1890: ( nat * nat ) > nat ).

tff(func_def_3333,type,
    sK1891: ( nat * nat ) > nat ).

tff(func_def_3334,type,
    sK1892: ( nat * nat ) > nat ).

tff(func_def_3335,type,
    sK1893: ( nat * nat ) > nat ).

tff(func_def_3336,type,
    sK1894: ( nat * nat ) > nat ).

tff(func_def_3337,type,
    sK1895: fun_bool_bool > product_unit ).

tff(func_def_3338,type,
    sK1896: ( nat * nat ) > nat ).

tff(func_def_3339,type,
    sK1897: nat > nat ).

tff(func_def_3340,type,
    sK1898: ( fun_nat_real * real ) > fun_nat_int ).

tff(func_def_3341,type,
    sK1899: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3342,type,
    sK1900: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3343,type,
    sK1901: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3344,type,
    sK1902: ( nat * nat ) > nat ).

tff(func_def_3345,type,
    sK1903: ( nat * nat ) > nat ).

tff(func_def_3346,type,
    sK1904: ( real * real ) > real ).

tff(func_def_3347,type,
    sK1905: ( real * real ) > real ).

tff(func_def_3348,type,
    sK1906: ( bool * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_3349,type,
    sK1907: ( bool * vEBT_VEBT ) > nat ).

tff(func_def_3350,type,
    sK1908: ( bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3351,type,
    sK1909: ( bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3352,type,
    sK1910: ( bool * vEBT_VEBT ) > nat ).

tff(func_def_3353,type,
    sK1911: ( bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3354,type,
    sK1912: ( bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3355,type,
    sK1913: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_3356,type,
    sK1914: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_3357,type,
    sK1915: vEBT_VEBT > bool ).

tff(func_def_3358,type,
    sK1916: vEBT_VEBT > bool ).

tff(func_def_3359,type,
    sK1917: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3360,type,
    sK1918: vEBT_VEBT > nat ).

tff(func_def_3361,type,
    sK1919: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3362,type,
    sK1920: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3363,type,
    sK1921: vEBT_VEBT > nat ).

tff(func_def_3364,type,
    sK1922: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3365,type,
    sK1923: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3366,type,
    sK1924: ( set_nat * nat ) > nat ).

tff(func_def_3367,type,
    sK1925: ( set_nat * nat ) > nat ).

tff(func_def_3368,type,
    sK1926: fun_nat_complex > complex ).

tff(func_def_3369,type,
    sK1927: fun_nat_real > real ).

tff(func_def_3370,type,
    sK1928: fun_int_bool > nat ).

tff(func_def_3371,type,
    sK1929: fun_int_bool > nat ).

tff(func_def_3372,type,
    sK1930: ( fun_nat_int * int ) > nat ).

tff(func_def_3373,type,
    sK1931: fun_nat_int > nat ).

tff(func_def_3374,type,
    sK1932: ( fun_nat_int * int ) > nat ).

tff(func_def_3375,type,
    sK1933: fun_nat_int > nat ).

tff(func_def_3376,type,
    sK1934: ( fun_nat_real * real ) > nat ).

tff(func_def_3377,type,
    sK1935: fun_nat_real > nat ).

tff(func_def_3378,type,
    sK1936: ( fun_nat_real * real ) > nat ).

tff(func_def_3379,type,
    sK1937: fun_nat_real > nat ).

tff(func_def_3380,type,
    sK1938: fun_nat_real > nat ).

tff(func_def_3381,type,
    sK1939: fun_nat_real > nat ).

tff(func_def_3382,type,
    sK1940: ( fun_nat_nat * nat ) > nat ).

tff(func_def_3383,type,
    sK1941: fun_nat_nat > nat ).

tff(func_def_3384,type,
    sK1942: ( fun_nat_nat * nat ) > nat ).

tff(func_def_3385,type,
    sK1943: fun_nat_nat > nat ).

tff(func_def_3386,type,
    sK1944: fun_nat_nat > nat ).

tff(func_def_3387,type,
    sK1945: ( fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_3388,type,
    sK1946: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3389,type,
    sK1947: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3390,type,
    sK1948: ( fun_nat_real * real ) > real ).

tff(func_def_3391,type,
    sK1949: ( fun_nat_real * real ) > nat ).

tff(func_def_3392,type,
    sK1950: fun_nat_real > nat ).

tff(func_def_3393,type,
    sK1951: ( fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3394,type,
    sK1952: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3395,type,
    sK1953: fun_nat_real > nat ).

tff(func_def_3396,type,
    sK1954: fun_nat_real > nat ).

tff(func_def_3397,type,
    sK1955: ( int * int ) > nat ).

tff(func_def_3398,type,
    sK1956: ( nat * nat ) > nat ).

tff(func_def_3399,type,
    sK1957: fun_se8353504738346895699t_bool > produc3843707927480180839at_nat ).

tff(func_def_3400,type,
    sK1958: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_3401,type,
    sK1959: fun_se8353504738346895699t_bool > set_Pr4329608150637261639at_nat ).

tff(func_def_3402,type,
    sK1960: fun_se8074476271188067385t_bool > product_prod_nat_nat ).

tff(func_def_3403,type,
    sK1961: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_3404,type,
    sK1962: fun_se8074476271188067385t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_3405,type,
    sK1963: fun_set_real_bool > real ).

tff(func_def_3406,type,
    sK1964: fun_set_real_bool > set_real ).

tff(func_def_3407,type,
    sK1965: fun_set_real_bool > set_real ).

tff(func_def_3408,type,
    sK1966: fun_set_int_bool > int ).

tff(func_def_3409,type,
    sK1967: fun_set_int_bool > set_int ).

tff(func_def_3410,type,
    sK1968: fun_set_int_bool > set_int ).

tff(func_def_3411,type,
    sK1969: fun_set_bool_bool > bool ).

tff(func_def_3412,type,
    sK1970: fun_set_bool_bool > set_bool ).

tff(func_def_3413,type,
    sK1971: fun_set_bool_bool > set_bool ).

tff(func_def_3414,type,
    sK1972: fun_set_complex_bool > complex ).

tff(func_def_3415,type,
    sK1973: fun_set_complex_bool > set_complex ).

tff(func_def_3416,type,
    sK1974: fun_set_complex_bool > set_complex ).

tff(func_def_3417,type,
    sK1975: fun_set_nat_bool > nat ).

tff(func_def_3418,type,
    sK1976: fun_set_nat_bool > set_nat ).

tff(func_def_3419,type,
    sK1977: fun_set_nat_bool > set_nat ).

tff(func_def_3420,type,
    sK1978: fun_nat_bool > nat ).

tff(func_def_3421,type,
    sK1979: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_3422,type,
    sK1980: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_3423,type,
    sK1981: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_3424,type,
    sK1982: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_3425,type,
    sK1983: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_3426,type,
    sK1984: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3427,type,
    sK1985: ( set_real * set_real ) > real ).

tff(func_def_3428,type,
    sK1986: ( set_real * set_real ) > real ).

tff(func_def_3429,type,
    sK1987: ( set_real * fun_real_rat ) > real ).

tff(func_def_3430,type,
    sK1988: ( set_real * fun_real_rat ) > real ).

tff(func_def_3431,type,
    sK1989: ( set_real * fun_real_rat ) > real ).

tff(func_def_3432,type,
    sK1990: ( set_real * fun_real_real ) > real ).

tff(func_def_3433,type,
    sK1991: ( set_real * fun_real_real ) > real ).

tff(func_def_3434,type,
    sK1992: ( set_real * fun_real_real ) > real ).

tff(func_def_3435,type,
    sK1993: ( set_real * fun_real_rat ) > real ).

tff(func_def_3436,type,
    sK1994: ( set_real * fun_real_real ) > real ).

tff(func_def_3437,type,
    sK1995: ( set_int * set_int ) > int ).

tff(func_def_3438,type,
    sK1996: ( set_int * set_int ) > int ).

tff(func_def_3439,type,
    sK1997: ( set_int * fun_int_int ) > int ).

tff(func_def_3440,type,
    sK1998: ( set_int * fun_int_rat ) > int ).

tff(func_def_3441,type,
    sK1999: ( set_int * fun_int_rat ) > int ).

tff(func_def_3442,type,
    sK2000: ( set_int * fun_int_rat ) > int ).

tff(func_def_3443,type,
    sK2001: ( set_int * fun_int_real ) > int ).

tff(func_def_3444,type,
    sK2002: ( set_int * fun_int_real ) > int ).

tff(func_def_3445,type,
    sK2003: ( set_int * fun_int_real ) > int ).

tff(func_def_3446,type,
    sK2004: ( set_int * fun_int_rat ) > int ).

tff(func_def_3447,type,
    sK2005: ( set_int * fun_int_real ) > int ).

tff(func_def_3448,type,
    sK2006: ( set_bool * set_bool ) > bool ).

tff(func_def_3449,type,
    sK2007: ( set_bool * set_bool ) > bool ).

tff(func_def_3450,type,
    sK2008: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3451,type,
    sK2009: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3452,type,
    sK2010: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3453,type,
    sK2011: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3454,type,
    sK2012: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3455,type,
    sK2013: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3456,type,
    sK2014: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3457,type,
    sK2015: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3458,type,
    sK2016: ( set_complex * set_complex ) > complex ).

tff(func_def_3459,type,
    sK2017: ( set_complex * set_complex ) > complex ).

tff(func_def_3460,type,
    sK2018: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3461,type,
    sK2019: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3462,type,
    sK2020: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3463,type,
    sK2021: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3464,type,
    sK2022: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3465,type,
    sK2023: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3466,type,
    sK2024: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_3467,type,
    sK2025: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_3468,type,
    sK2026: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3469,type,
    sK2027: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3470,type,
    sK2028: ( set_nat * set_nat ) > nat ).

tff(func_def_3471,type,
    sK2029: ( set_nat * set_nat ) > nat ).

tff(func_def_3472,type,
    sK2030: ( set_nat * nat ) > nat ).

tff(func_def_3473,type,
    sK2031: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_3474,type,
    sK2032: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3475,type,
    sK2033: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3476,type,
    sK2034: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3477,type,
    sK2035: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3478,type,
    sK2036: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3479,type,
    sK2037: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3480,type,
    sK2038: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3481,type,
    sK2039: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_3482,type,
    sK2040: fun_int_fun_int_bool > int ).

tff(func_def_3483,type,
    sK2041: ( rat * rat ) > rat ).

tff(func_def_3484,type,
    sK2042: ( rat * rat ) > rat ).

tff(func_def_3485,type,
    sK2043: fun_rat_fun_rat_bool > rat ).

tff(func_def_3486,type,
    sK2044: ( real * real ) > real ).

tff(func_def_3487,type,
    sK2045: ( real * real ) > real ).

tff(func_def_3488,type,
    sK2046: fun_re1255401033344146673l_bool > real ).

tff(func_def_3489,type,
    sK2047: ( list_int * int ) > int ).

tff(func_def_3490,type,
    sK2048: ( list_bool * bool ) > bool ).

tff(func_def_3491,type,
    sK2049: ( list_nat * nat ) > nat ).

tff(func_def_3492,type,
    sK2050: ( rat * rat ) > rat ).

tff(func_def_3493,type,
    sK2051: ( rat * rat ) > rat ).

tff(func_def_3494,type,
    sK2052: ( real * real ) > real ).

tff(func_def_3495,type,
    sK2053: ( real * real ) > real ).

tff(func_def_3496,type,
    sK2054: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3497,type,
    sK2055: fun_Pr1572506220757514509t_bool > bool ).

tff(func_def_3498,type,
    sK2056: ( list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3499,type,
    sK2057: fun_Co8822979462182099027r_bool > code_integer ).

tff(func_def_3500,type,
    sK2058: fun_Co8822979462182099027r_bool > bool ).

tff(func_def_3501,type,
    sK2059: fun_Co8822979462182099027r_bool > code_integer ).

tff(func_def_3502,type,
    sK2060: fun_int_bool > int ).

tff(func_def_3503,type,
    sK2061: fun_int_bool > bool ).

tff(func_def_3504,type,
    sK2062: fun_int_bool > int ).

tff(func_def_3505,type,
    sK2063: fun_nat_bool > nat ).

tff(func_def_3506,type,
    sK2064: fun_nat_bool > bool ).

tff(func_def_3507,type,
    sK2065: fun_nat_bool > nat ).

tff(func_def_3508,type,
    sK2066: fun_nat_bool > nat ).

tff(func_def_3509,type,
    sK2067: fun_nat_bool > nat ).

tff(func_def_3510,type,
    sK2068: fun_list_int_bool > list_int ).

tff(func_def_3511,type,
    sK2069: fun_list_nat_bool > list_nat ).

tff(func_def_3512,type,
    sK2070: fun_list_bool_bool > list_bool ).

tff(func_def_3513,type,
    sK2071: fun_li6006399982103069984T_bool > list_VEBT_VEBT ).

tff(func_def_3514,type,
    sK2072: fun_nat_bool > nat ).

tff(func_def_3515,type,
    sK2073: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_3516,type,
    sK2074: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_3517,type,
    sK2075: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_3518,type,
    sK2076: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_3519,type,
    sK2077: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_3520,type,
    sK2078: fun_Pr1727971692872576719m_bool > nat ).

tff(func_def_3521,type,
    sK2079: fun_Pr1727971692872576719m_bool > num ).

tff(func_def_3522,type,
    sK2080: fun_Pr1607443439640623155t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_3523,type,
    sK2081: fun_Pr1607443439640623155t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_3524,type,
    sK2082: fun_Pr6287530515171585797m_bool > num ).

tff(func_def_3525,type,
    sK2083: fun_Pr6287530515171585797m_bool > num ).

tff(func_def_3526,type,
    sK2084: fun_Pr7757163693017731481t_bool > nat ).

tff(func_def_3527,type,
    sK2085: fun_Pr7757163693017731481t_bool > nat ).

tff(func_def_3528,type,
    sK2086: fun_Pr803113274115125473t_bool > int ).

tff(func_def_3529,type,
    sK2087: fun_Pr803113274115125473t_bool > int ).

tff(func_def_3530,type,
    sK2088: ( fun_na1668100129766719005at_nat * fun_Pr2477239776880934807at_nat ) > nat ).

tff(func_def_3531,type,
    sK2089: ( fun_na1668100129766719005at_nat * fun_Pr2477239776880934807at_nat ) > nat ).

tff(func_def_3532,type,
    sK2090: ( fun_na4786964484885125043t_bool * fun_Pr248683899324676269t_bool ) > nat ).

tff(func_def_3533,type,
    sK2091: ( fun_na4786964484885125043t_bool * fun_Pr248683899324676269t_bool ) > nat ).

tff(func_def_3534,type,
    sK2092: ( fun_nat_fun_nat_nat * fun_Pr2602117396471556196at_nat ) > nat ).

tff(func_def_3535,type,
    sK2093: ( fun_nat_fun_nat_nat * fun_Pr2602117396471556196at_nat ) > nat ).

tff(func_def_3536,type,
    sK2094: ( fun_in1696471567231710611nt_int * fun_Pr2478283820680522243nt_int ) > int ).

tff(func_def_3537,type,
    sK2095: ( fun_in1696471567231710611nt_int * fun_Pr2478283820680522243nt_int ) > int ).

tff(func_def_3538,type,
    sK2096: ( produc3843707927480180839at_nat * fun_se1534075524646452397t_bool ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3539,type,
    sK2097: ( produc3843707927480180839at_nat * fun_se1534075524646452397t_bool ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3540,type,
    sK2098: ( product_prod_nat_num * fun_nat_fun_num_bool ) > nat ).

tff(func_def_3541,type,
    sK2099: ( product_prod_nat_num * fun_nat_fun_num_bool ) > num ).

tff(func_def_3542,type,
    sK2100: ( product_prod_num_num * fun_num_fun_num_bool ) > num ).

tff(func_def_3543,type,
    sK2101: ( product_prod_num_num * fun_num_fun_num_bool ) > num ).

tff(func_def_3544,type,
    sK2102: ( product_prod_nat_nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_3545,type,
    sK2103: ( product_prod_nat_nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_3546,type,
    sK2104: fun_real_bool > nat ).

tff(func_def_3547,type,
    sK2105: fun_real_bool > real ).

tff(func_def_3548,type,
    sK2106: fun_real_bool > real ).

tff(func_def_3549,type,
    sK2107: ( product_prod_int_int * fun_int_fun_int_bool ) > int ).

tff(func_def_3550,type,
    sK2108: ( product_prod_int_int * fun_int_fun_int_bool ) > int ).

tff(func_def_3551,type,
    sK2109: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3552,type,
    sK2110: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3553,type,
    sK2111: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3554,type,
    sK2112: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3555,type,
    sK2113: ( fun_nat_fun_nat_bool * fun_Pr7757163693017731481t_bool ) > nat ).

tff(func_def_3556,type,
    sK2114: ( fun_nat_fun_nat_bool * fun_Pr7757163693017731481t_bool ) > nat ).

tff(func_def_3557,type,
    sK2115: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3558,type,
    sK2116: ( fun_nat_complex * fun_nat_real * nat ) > nat ).

tff(func_def_3559,type,
    sK2117: ( fun_nat_complex * fun_nat_real * nat ) > nat ).

tff(func_def_3560,type,
    sK2118: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_3561,type,
    sK2119: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_3562,type,
    sK2120: ( list_int * list_int ) > nat ).

tff(func_def_3563,type,
    sK2121: ( list_nat * list_nat ) > nat ).

tff(func_def_3564,type,
    sK2122: ( list_bool * list_bool ) > nat ).

tff(func_def_3565,type,
    sK2123: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3566,type,
    sK2124: ( list_VEBT_VEBT * set_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3567,type,
    sK2125: ( set_real * set_real ) > real ).

tff(func_def_3568,type,
    sK2126: ( set_complex * set_complex ) > complex ).

tff(func_def_3569,type,
    sK2127: ( set_int * set_int ) > int ).

tff(func_def_3570,type,
    sK2128: ( set_int * set_int ) > int ).

tff(func_def_3571,type,
    sK2129: ( set_int * set_int ) > int ).

tff(func_def_3572,type,
    sK2130: ( set_bool * set_bool ) > bool ).

tff(func_def_3573,type,
    sK2131: ( set_bool * set_bool ) > bool ).

tff(func_def_3574,type,
    sK2132: ( set_bool * set_bool ) > bool ).

tff(func_def_3575,type,
    sK2133: ( nat * extended_enat ) > nat ).

tff(func_def_3576,type,
    sK2134: ( extended_enat * nat ) > nat ).

tff(func_def_3577,type,
    sK2135: ( set_real * set_real ) > real ).

tff(func_def_3578,type,
    sK2136: ( set_real * set_real ) > real ).

tff(func_def_3579,type,
    sK2137: ( set_int * set_int ) > int ).

tff(func_def_3580,type,
    sK2138: ( set_int * set_int ) > int ).

tff(func_def_3581,type,
    sK2139: ( set_bool * set_bool ) > bool ).

tff(func_def_3582,type,
    sK2140: ( set_bool * set_bool ) > bool ).

tff(func_def_3583,type,
    sK2141: ( set_complex * set_complex ) > complex ).

tff(func_def_3584,type,
    sK2142: ( set_complex * set_complex ) > complex ).

tff(func_def_3585,type,
    sK2143: ( set_nat * set_nat ) > nat ).

tff(func_def_3586,type,
    sK2144: ( set_nat * set_nat ) > nat ).

tff(func_def_3587,type,
    sK2145: ( set_nat * nat ) > nat ).

tff(func_def_3588,type,
    sK2146: ( set_nat * nat ) > nat ).

tff(func_def_3589,type,
    sK2147: vEBT_VEBT > bool ).

tff(func_def_3590,type,
    sK2148: vEBT_VEBT > bool ).

tff(func_def_3591,type,
    sK2149: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3592,type,
    sK2150: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3593,type,
    sK2151: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3594,type,
    sK2152: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3595,type,
    sK2153: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3596,type,
    sK2154: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3597,type,
    sK2155: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3598,type,
    sK2156: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3599,type,
    sK2157: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3600,type,
    sK2158: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3601,type,
    sK2159: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3602,type,
    sK2160: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3603,type,
    sK2161: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3604,type,
    sK2162: list_VEBT_VEBT > nat ).

tff(func_def_3605,type,
    sK2163: vEBT_VEBT > nat ).

tff(func_def_3606,type,
    sK2164: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3607,type,
    sK2165: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3608,type,
    sK2166: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3609,type,
    sK2167: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3610,type,
    sK2168: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3611,type,
    sK2169: list_VEBT_VEBT > nat ).

tff(func_def_3612,type,
    sK2170: vEBT_VEBT > nat ).

tff(func_def_3613,type,
    sK2171: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3614,type,
    sK2172: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3615,type,
    sK2173: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3616,type,
    sK2174: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3617,type,
    sK2175: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3618,type,
    sK2176: list_VEBT_VEBT > nat ).

tff(func_def_3619,type,
    sK2177: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3620,type,
    sK2178: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3621,type,
    sK2179: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3622,type,
    sK2180: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_3623,type,
    sK2181: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3624,type,
    sK2182: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3625,type,
    sK2183: list_VEBT_VEBT > nat ).

tff(func_def_3626,type,
    sK2184: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3627,type,
    sK2185: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3628,type,
    sK2186: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3629,type,
    sK2187: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_3630,type,
    sK2188: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3631,type,
    sK2189: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_3632,type,
    sK2190: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_3633,type,
    sK2191: ( real * list_real ) > nat ).

tff(func_def_3634,type,
    sK2192: ( list_real * set_real ) > real ).

tff(func_def_3635,type,
    sK2193: ( int * list_int ) > nat ).

tff(func_def_3636,type,
    sK2194: ( list_int * set_int ) > int ).

tff(func_def_3637,type,
    sK2195: ( bool * list_bool ) > nat ).

tff(func_def_3638,type,
    sK2196: ( list_bool * set_bool ) > bool ).

tff(func_def_3639,type,
    sK2197: ( complex * list_complex ) > nat ).

tff(func_def_3640,type,
    sK2198: ( list_complex * set_complex ) > complex ).

tff(func_def_3641,type,
    sK2199: ( nat * list_nat ) > nat ).

tff(func_def_3642,type,
    sK2200: ( list_nat * set_nat ) > nat ).

tff(func_def_3643,type,
    sK2201: ( fun_int_bool * rat ) > int ).

tff(func_def_3644,type,
    sK2202: ( fun_int_bool * rat ) > int ).

tff(func_def_3645,type,
    sK2203: ( fun_int_bool * real ) > int ).

tff(func_def_3646,type,
    sK2204: ( fun_int_bool * real ) > int ).

tff(func_def_3647,type,
    sK2205: ( int * int ) > nat ).

tff(func_def_3648,type,
    sK2206: ( nat * nat ) > nat ).

tff(func_def_3649,type,
    sK2207: ( nat * nat ) > nat ).

tff(func_def_3650,type,
    sK2208: ( nat * nat ) > nat ).

tff(func_def_3651,type,
    sK2209: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3652,type,
    sK2210: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3653,type,
    sK2211: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3654,type,
    sK2212: ( set_nat * set_nat ) > nat ).

tff(func_def_3655,type,
    sK2213: ( set_nat * set_nat ) > nat ).

tff(func_def_3656,type,
    sK2214: ( set_nat * set_nat ) > nat ).

tff(func_def_3657,type,
    sK2215: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3658,type,
    sK2216: ( fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_3659,type,
    sK2217: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_3660,type,
    sK2218: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_3661,type,
    sK2219: ( fun_nat_real * nat ) > nat ).

tff(func_def_3662,type,
    sK2220: ( fun_nat_complex * nat ) > nat ).

tff(func_def_3663,type,
    sK2221: ( nat * nat ) > nat ).

tff(func_def_3664,type,
    sK2222: ( nat * nat ) > nat ).

tff(func_def_3665,type,
    sK2223: ( fun_nat_complex * nat ) > nat ).

tff(func_def_3666,type,
    sK2224: ( fun_nat_complex * nat ) > complex ).

tff(func_def_3667,type,
    sK2225: ( fun_nat_real * nat ) > nat ).

tff(func_def_3668,type,
    sK2226: ( fun_nat_real * nat ) > real ).

tff(func_def_3669,type,
    sK2227: ( list_int * fun_int_bool ) > nat ).

tff(func_def_3670,type,
    sK2228: ( list_int * fun_int_bool ) > int ).

tff(func_def_3671,type,
    sK2229: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_3672,type,
    sK2230: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_3673,type,
    sK2231: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_3674,type,
    sK2232: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_3675,type,
    sK2233: ( fun_na2351039247863542899T_bool * nat ) > nat ).

tff(func_def_3676,type,
    sK2234: ( fun_na2351039247863542899T_bool * nat ) > vEBT_VEBT ).

tff(func_def_3677,type,
    sK2235: ( nat * fun_na2351039247863542899T_bool * list_VEBT_VEBT ) > nat ).

tff(func_def_3678,type,
    sK2236: ( nat * fun_na2351039247863542899T_bool ) > list_VEBT_VEBT ).

tff(func_def_3679,type,
    sK2237: ( fun_na9137082442855928016l_bool * nat ) > nat ).

tff(func_def_3680,type,
    sK2238: ( fun_na9137082442855928016l_bool * nat ) > bool ).

tff(func_def_3681,type,
    sK2239: ( nat * fun_na9137082442855928016l_bool * list_bool ) > nat ).

tff(func_def_3682,type,
    sK2240: ( nat * fun_na9137082442855928016l_bool ) > list_bool ).

tff(func_def_3683,type,
    sK2241: ( fun_nat_fun_int_bool * nat ) > nat ).

tff(func_def_3684,type,
    sK2242: ( fun_nat_fun_int_bool * nat ) > int ).

tff(func_def_3685,type,
    sK2243: ( nat * fun_nat_fun_int_bool * list_int ) > nat ).

tff(func_def_3686,type,
    sK2244: ( nat * fun_nat_fun_int_bool ) > list_int ).

tff(func_def_3687,type,
    sK2245: ( fun_nat_fun_nat_bool * nat ) > nat ).

tff(func_def_3688,type,
    sK2246: ( fun_nat_fun_nat_bool * nat ) > nat ).

tff(func_def_3689,type,
    sK2247: ( nat * fun_nat_fun_nat_bool * list_nat ) > nat ).

tff(func_def_3690,type,
    sK2248: ( nat * fun_nat_fun_nat_bool ) > list_nat ).

tff(func_def_3691,type,
    sK2249: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3692,type,
    sK2250: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3693,type,
    sK2251: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_3694,type,
    sK2252: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_3695,type,
    sK2253: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3696,type,
    sK2254: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3697,type,
    sK2255: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3698,type,
    sK2256: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3699,type,
    sK2257: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > nat ).

tff(func_def_3700,type,
    sK2258: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > num ).

tff(func_def_3701,type,
    sK2259: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > num ).

tff(func_def_3702,type,
    sK2260: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > num ).

tff(func_def_3703,type,
    sK2261: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3704,type,
    sK2262: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3705,type,
    sK2263: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > int ).

tff(func_def_3706,type,
    sK2264: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > int ).

tff(func_def_3707,type,
    sK2265: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3708,type,
    sK2266: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3709,type,
    sK2267: ( fun_real_bool * real ) > real ).

tff(func_def_3710,type,
    sK2268: ( fun_real_bool * real ) > real ).

tff(func_def_3711,type,
    sK2269: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_3712,type,
    sK2270: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_3713,type,
    sK2271: ( fun_int_bool * int ) > int ).

tff(func_def_3714,type,
    sK2272: ( fun_int_bool * int ) > int ).

tff(func_def_3715,type,
    sK2273: ( fun_rat_bool * rat ) > rat ).

tff(func_def_3716,type,
    sK2274: ( fun_rat_bool * rat ) > rat ).

tff(func_def_3717,type,
    sK2275: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3718,type,
    sK2276: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3719,type,
    sK2277: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3720,type,
    sK2278: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3721,type,
    sK2279: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3722,type,
    sK2280: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3723,type,
    sK2281: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3724,type,
    sK2282: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3725,type,
    sK2283: ( real * nat ) > real ).

tff(func_def_3726,type,
    sK2284: ( real * nat ) > real ).

tff(func_def_3727,type,
    sK2285: ( real * nat ) > real ).

tff(func_def_3728,type,
    sK2286: ( real * nat ) > real ).

tff(func_def_3729,type,
    sK2287: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3730,type,
    sK2288: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3731,type,
    sK2289: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3732,type,
    sK2290: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3733,type,
    sK2291: ( int * int ) > int ).

tff(func_def_3734,type,
    sK2292: ( int * int ) > int ).

tff(func_def_3735,type,
    sK2293: ( int * int ) > int ).

tff(func_def_3736,type,
    sK2294: ( int * int ) > int ).

tff(func_def_3737,type,
    sK2295: ( rat * rat ) > rat ).

tff(func_def_3738,type,
    sK2296: ( rat * rat ) > rat ).

tff(func_def_3739,type,
    sK2297: ( rat * rat ) > rat ).

tff(func_def_3740,type,
    sK2298: ( rat * rat ) > rat ).

tff(func_def_3741,type,
    sK2299: ( real * real ) > real ).

tff(func_def_3742,type,
    sK2300: ( real * real ) > real ).

tff(func_def_3743,type,
    sK2301: ( real * real ) > real ).

tff(func_def_3744,type,
    sK2302: ( real * real ) > real ).

tff(func_def_3745,type,
    sK2303: ( nat * nat ) > nat ).

tff(func_def_3746,type,
    sK2304: ( nat * nat ) > nat ).

tff(func_def_3747,type,
    sK2305: ( nat * nat ) > nat ).

tff(func_def_3748,type,
    sK2306: ( nat * nat ) > nat ).

tff(func_def_3749,type,
    sK2307: ( nat * nat ) > nat ).

tff(func_def_3750,type,
    sK2308: ( nat * nat ) > nat ).

tff(func_def_3751,type,
    sK2309: ( nat * nat ) > nat ).

tff(func_def_3752,type,
    sK2310: ( nat * nat ) > nat ).

tff(func_def_3753,type,
    sK2311: ( nat * nat ) > nat ).

tff(func_def_3754,type,
    sK2312: ( fun_nat_nat * nat ) > nat ).

tff(func_def_3755,type,
    sK2313: ( fun_nat_int * nat ) > nat ).

tff(func_def_3756,type,
    sK2314: ( fun_nat_real * nat ) > nat ).

tff(func_def_3757,type,
    sK2315: ( fun_nat_real * nat * fun_nat_complex ) > nat ).

tff(func_def_3758,type,
    sK2316: ( fun_nat_real * nat * fun_nat_real ) > nat ).

tff(func_def_3759,type,
    sK2317: ( list_real * real ) > real ).

tff(func_def_3760,type,
    sK2318: ( list_complex * complex ) > complex ).

tff(func_def_3761,type,
    sK2319: ( list_int * int ) > int ).

tff(func_def_3762,type,
    sK2320: ( list_nat * nat ) > nat ).

tff(func_def_3763,type,
    sK2321: ( list_bool * bool ) > bool ).

tff(func_def_3764,type,
    sK2322: ( list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3765,type,
    sK2323: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_3766,type,
    sK2324: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_3767,type,
    sK2325: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_3768,type,
    sK2326: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_3769,type,
    sK2327: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3770,type,
    sK2328: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3771,type,
    sK2329: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_3772,type,
    sK2330: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3773,type,
    sK2331: ( set_Pr1261947904930325089at_nat * fun_Pr672294278902479040t_real * fun_Pr672294278902479040t_real ) > product_prod_nat_nat ).

tff(func_def_3774,type,
    sK2332: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_3775,type,
    sK2333: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3776,type,
    sK2334: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_3777,type,
    sK2335: ( fun_set_real_bool * fun_real_num ) > real ).

tff(func_def_3778,type,
    sK2336: ( fun_set_real_bool * fun_real_num ) > set_real ).

tff(func_def_3779,type,
    sK2337: ( fun_set_real_bool * fun_real_rat ) > real ).

tff(func_def_3780,type,
    sK2338: ( fun_set_real_bool * fun_real_rat ) > set_real ).

tff(func_def_3781,type,
    sK2339: ( fun_set_real_bool * set_real ) > real ).

tff(func_def_3782,type,
    sK2340: ( fun_set_real_bool * set_real ) > set_real ).

tff(func_def_3783,type,
    sK2341: ( fun_set_real_bool * set_real ) > real ).

tff(func_def_3784,type,
    sK2342: ( fun_set_real_bool * set_real ) > set_real ).

tff(func_def_3785,type,
    sK2343: ( set_real * fun_real_int ) > real ).

tff(func_def_3786,type,
    sK2344: ( set_real * set_real * fun_real_int ) > real ).

tff(func_def_3787,type,
    sK2345: ( set_real * fun_real_rat ) > real ).

tff(func_def_3788,type,
    sK2346: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_3789,type,
    sK2347: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_3790,type,
    sK2348: ( set_real * fun_real_real ) > real ).

tff(func_def_3791,type,
    sK2349: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_3792,type,
    sK2350: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_3793,type,
    sK2351: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_3794,type,
    sK2352: ( set_real * fun_real_rat ) > real ).

tff(func_def_3795,type,
    sK2353: ( set_real * fun_real_rat ) > real ).

tff(func_def_3796,type,
    sK2354: ( set_real * fun_real_real ) > real ).

tff(func_def_3797,type,
    sK2355: ( set_real * fun_real_real ) > real ).

tff(func_def_3798,type,
    sK2356: ( set_real * fun_real_nat ) > real ).

tff(func_def_3799,type,
    sK2357: ( set_real * fun_real_rat ) > real ).

tff(func_def_3800,type,
    sK2358: ( set_real * fun_real_real ) > real ).

tff(func_def_3801,type,
    sK2359: ( set_real * fun_real_nat ) > real ).

tff(func_def_3802,type,
    sK2360: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_3803,type,
    sK2361: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3804,type,
    sK2362: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_3805,type,
    sK2363: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_3806,type,
    sK2364: ( fun_set_int_bool * fun_int_num ) > int ).

tff(func_def_3807,type,
    sK2365: ( fun_set_int_bool * fun_int_num ) > set_int ).

tff(func_def_3808,type,
    sK2366: ( fun_set_int_bool * fun_int_rat ) > int ).

tff(func_def_3809,type,
    sK2367: ( fun_set_int_bool * fun_int_rat ) > set_int ).

tff(func_def_3810,type,
    sK2368: ( set_int * set_int * fun_int_int ) > int ).

tff(func_def_3811,type,
    sK2369: ( fun_set_int_bool * set_int ) > int ).

tff(func_def_3812,type,
    sK2370: ( fun_set_int_bool * set_int ) > set_int ).

tff(func_def_3813,type,
    sK2371: ( fun_set_int_bool * set_int ) > int ).

tff(func_def_3814,type,
    sK2372: ( fun_set_int_bool * set_int ) > set_int ).

tff(func_def_3815,type,
    sK2373: ( set_int * set_int * fun_int_int ) > int ).

tff(func_def_3816,type,
    sK2374: ( set_int * set_int * fun_int_int ) > int ).

tff(func_def_3817,type,
    sK2375: ( set_int * fun_int_rat ) > int ).

tff(func_def_3818,type,
    sK2376: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_3819,type,
    sK2377: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_3820,type,
    sK2378: ( set_int * fun_int_real ) > int ).

tff(func_def_3821,type,
    sK2379: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_3822,type,
    sK2380: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_3823,type,
    sK2381: ( set_int * fun_int_rat ) > int ).

tff(func_def_3824,type,
    sK2382: ( set_int * fun_int_rat ) > int ).

tff(func_def_3825,type,
    sK2383: ( set_int * fun_int_real ) > int ).

tff(func_def_3826,type,
    sK2384: ( set_int * fun_int_real ) > int ).

tff(func_def_3827,type,
    sK2385: ( set_int * fun_int_rat ) > int ).

tff(func_def_3828,type,
    sK2386: ( set_int * fun_int_real ) > int ).

tff(func_def_3829,type,
    sK2387: ( set_int * fun_int_int * fun_int_int ) > int ).

tff(func_def_3830,type,
    sK2388: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_3831,type,
    sK2389: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_3832,type,
    sK2390: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_3833,type,
    sK2391: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_3834,type,
    sK2392: ( fun_set_bool_bool * fun_bool_num ) > bool ).

tff(func_def_3835,type,
    sK2393: ( fun_set_bool_bool * fun_bool_num ) > set_bool ).

tff(func_def_3836,type,
    sK2394: ( fun_set_bool_bool * fun_bool_rat ) > bool ).

tff(func_def_3837,type,
    sK2395: ( fun_set_bool_bool * fun_bool_rat ) > set_bool ).

tff(func_def_3838,type,
    sK2396: ( fun_set_bool_bool * set_bool ) > bool ).

tff(func_def_3839,type,
    sK2397: ( fun_set_bool_bool * set_bool ) > set_bool ).

tff(func_def_3840,type,
    sK2398: ( fun_set_bool_bool * set_bool ) > bool ).

tff(func_def_3841,type,
    sK2399: ( fun_set_bool_bool * set_bool ) > set_bool ).

tff(func_def_3842,type,
    sK2400: ( set_bool * fun_bool_int ) > bool ).

tff(func_def_3843,type,
    sK2401: ( set_bool * set_bool * fun_bool_int ) > bool ).

tff(func_def_3844,type,
    sK2402: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3845,type,
    sK2403: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_3846,type,
    sK2404: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_3847,type,
    sK2405: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3848,type,
    sK2406: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_3849,type,
    sK2407: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_3850,type,
    sK2408: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_3851,type,
    sK2409: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3852,type,
    sK2410: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3853,type,
    sK2411: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3854,type,
    sK2412: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3855,type,
    sK2413: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_3856,type,
    sK2414: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_3857,type,
    sK2415: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_3858,type,
    sK2416: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_3859,type,
    sK2417: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_3860,type,
    sK2418: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_3861,type,
    sK2419: ( fun_set_complex_bool * fun_complex_num ) > complex ).

tff(func_def_3862,type,
    sK2420: ( fun_set_complex_bool * fun_complex_num ) > set_complex ).

tff(func_def_3863,type,
    sK2421: ( fun_set_complex_bool * fun_complex_rat ) > complex ).

tff(func_def_3864,type,
    sK2422: ( fun_set_complex_bool * fun_complex_rat ) > set_complex ).

tff(func_def_3865,type,
    sK2423: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_3866,type,
    sK2424: ( set_complex * set_complex * fun_complex_int ) > complex ).

tff(func_def_3867,type,
    sK2425: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3868,type,
    sK2426: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3869,type,
    sK2427: ( set_complex * set_complex * fun_complex_nat ) > complex ).

tff(func_def_3870,type,
    sK2428: ( fun_set_complex_bool * set_complex ) > complex ).

tff(func_def_3871,type,
    sK2429: ( fun_set_complex_bool * set_complex ) > set_complex ).

tff(func_def_3872,type,
    sK2430: ( fun_set_complex_bool * set_complex ) > complex ).

tff(func_def_3873,type,
    sK2431: ( fun_set_complex_bool * set_complex ) > set_complex ).

tff(func_def_3874,type,
    sK2432: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_3875,type,
    sK2433: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_3876,type,
    sK2434: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_3877,type,
    sK2435: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_3878,type,
    sK2436: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3879,type,
    sK2437: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3880,type,
    sK2438: ( set_complex * set_complex * fun_complex_nat ) > complex ).

tff(func_def_3881,type,
    sK2439: ( set_complex * set_complex * fun_complex_nat ) > complex ).

tff(func_def_3882,type,
    sK2440: ( set_complex * set_complex * fun_complex_int ) > complex ).

tff(func_def_3883,type,
    sK2441: ( set_complex * set_complex * fun_complex_int ) > complex ).

tff(func_def_3884,type,
    sK2442: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3885,type,
    sK2443: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3886,type,
    sK2444: ( set_complex * set_complex * fun_complex_int ) > complex ).

tff(func_def_3887,type,
    sK2445: ( set_complex * set_complex * fun_complex_int ) > complex ).

tff(func_def_3888,type,
    sK2446: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3889,type,
    sK2447: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3890,type,
    sK2448: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3891,type,
    sK2449: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3892,type,
    sK2450: ( set_complex * set_complex * fun_complex_nat ) > complex ).

tff(func_def_3893,type,
    sK2451: ( set_complex * set_complex * fun_complex_nat ) > complex ).

tff(func_def_3894,type,
    sK2452: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3895,type,
    sK2453: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3896,type,
    sK2454: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_3897,type,
    sK2455: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3898,type,
    sK2456: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3899,type,
    sK2457: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_3900,type,
    sK2458: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3901,type,
    sK2459: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3902,type,
    sK2460: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3903,type,
    sK2461: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3904,type,
    sK2462: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3905,type,
    sK2463: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_3906,type,
    sK2464: ( set_complex * fun_complex_int * fun_complex_int ) > complex ).

tff(func_def_3907,type,
    sK2465: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_3908,type,
    sK2466: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_3909,type,
    sK2467: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_3910,type,
    sK2468: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_3911,type,
    sK2469: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_3912,type,
    sK2470: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3913,type,
    sK2471: ( fun_set_nat_bool * fun_nat_num ) > nat ).

tff(func_def_3914,type,
    sK2472: ( fun_set_nat_bool * fun_nat_num ) > set_nat ).

tff(func_def_3915,type,
    sK2473: ( fun_set_nat_bool * fun_nat_rat ) > nat ).

tff(func_def_3916,type,
    sK2474: ( fun_set_nat_bool * fun_nat_rat ) > set_nat ).

tff(func_def_3917,type,
    sK2475: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3918,type,
    sK2476: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3919,type,
    sK2477: ( set_nat * set_nat * fun_nat_real ) > nat ).

tff(func_def_3920,type,
    sK2478: ( set_nat * set_nat * fun_nat_nat ) > nat ).

tff(func_def_3921,type,
    sK2479: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3922,type,
    sK2480: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3923,type,
    sK2481: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3924,type,
    sK2482: ( fun_set_nat_bool * set_nat ) > nat ).

tff(func_def_3925,type,
    sK2483: ( fun_set_nat_bool * set_nat ) > set_nat ).

tff(func_def_3926,type,
    sK2484: ( fun_set_nat_bool * set_nat ) > nat ).

tff(func_def_3927,type,
    sK2485: ( fun_set_nat_bool * set_nat ) > set_nat ).

tff(func_def_3928,type,
    sK2486: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3929,type,
    sK2487: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3930,type,
    sK2488: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3931,type,
    sK2489: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3932,type,
    sK2490: ( set_nat * set_nat * fun_nat_nat ) > nat ).

tff(func_def_3933,type,
    sK2491: ( set_nat * set_nat * fun_nat_nat ) > nat ).

tff(func_def_3934,type,
    sK2492: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3935,type,
    sK2493: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3936,type,
    sK2494: ( set_nat * set_nat * fun_nat_real ) > nat ).

tff(func_def_3937,type,
    sK2495: ( set_nat * set_nat * fun_nat_real ) > nat ).

tff(func_def_3938,type,
    sK2496: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3939,type,
    sK2497: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3940,type,
    sK2498: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3941,type,
    sK2499: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3942,type,
    sK2500: ( set_nat * set_nat * fun_nat_real ) > nat ).

tff(func_def_3943,type,
    sK2501: ( set_nat * set_nat * fun_nat_real ) > nat ).

tff(func_def_3944,type,
    sK2502: ( set_nat * set_nat * fun_nat_nat ) > nat ).

tff(func_def_3945,type,
    sK2503: ( set_nat * set_nat * fun_nat_nat ) > nat ).

tff(func_def_3946,type,
    sK2504: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3947,type,
    sK2505: ( set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_3948,type,
    sK2506: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3949,type,
    sK2507: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3950,type,
    sK2508: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3951,type,
    sK2509: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3952,type,
    sK2510: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3953,type,
    sK2511: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3954,type,
    sK2512: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3955,type,
    sK2513: fun_nat_bool > nat ).

tff(func_def_3956,type,
    sK2514: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3957,type,
    sK2515: fun_nat_bool > nat ).

tff(func_def_3958,type,
    sK2516: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3959,type,
    sK2517: fun_nat_bool > nat ).

tff(func_def_3960,type,
    sK2518: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3961,type,
    sK2519: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3962,type,
    sK2520: ( nat * vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3963,type,
    sK2521: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3964,type,
    sK2522: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3965,type,
    sK2523: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3966,type,
    sK2524: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3967,type,
    sK2525: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3968,type,
    sK2526: ( vEBT_VEBT * nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3969,type,
    sK2527: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3970,type,
    sK2528: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3971,type,
    sK2529: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3972,type,
    sK2530: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3973,type,
    sK2531: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3974,type,
    sK2532: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3975,type,
    sK2533: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3976,type,
    sK2534: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3977,type,
    sK2535: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3978,type,
    sK2536: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3979,type,
    sK2537: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3980,type,
    sK2538: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3981,type,
    sK2539: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3982,type,
    sK2540: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3983,type,
    sK2541: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > bool ).

tff(func_def_3984,type,
    sK2542: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > bool ).

tff(func_def_3985,type,
    sK2543: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3986,type,
    sK2544: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3987,type,
    sK2545: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3988,type,
    sK2546: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3989,type,
    sK2547: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3990,type,
    sK2548: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3991,type,
    sK2549: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3992,type,
    sK2550: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3993,type,
    sK2551: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3994,type,
    sK2552: ( vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3995,type,
    sK2553: ( vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3996,type,
    sK2554: ( option_num * num * num ) > num ).

tff(func_def_3997,type,
    sK2555: ( option_num * num * num ) > num ).

tff(func_def_3998,type,
    sK2556: ( option_num * num * num ) > num ).

tff(func_def_3999,type,
    sK2557: ( option_num * num * num ) > num ).

tff(func_def_4000,type,
    sK2558: ( option_num * num * num ) > num ).

tff(func_def_4001,type,
    sK2559: ( option_num * num * num ) > num ).

tff(func_def_4002,type,
    sK2560: ( option_num * num * num ) > num ).

tff(func_def_4003,type,
    sK2561: ( option_num * num * num ) > num ).

tff(func_def_4004,type,
    sK2562: ( option_num * num ) > num ).

tff(func_def_4005,type,
    sK2563: ( option_num * num ) > num ).

tff(func_def_4006,type,
    sK2564: ( num * num * option_num ) > num ).

tff(func_def_4007,type,
    sK2565: ( num * num * option_num ) > num ).

tff(func_def_4008,type,
    sK2566: ( option_num * num * num ) > num ).

tff(func_def_4009,type,
    sK2567: ( option_num * num * num ) > num ).

tff(func_def_4010,type,
    sK2568: ( option_num * num * num ) > num ).

tff(func_def_4011,type,
    sK2569: ( option_num * num * num ) > num ).

tff(func_def_4012,type,
    sK2570: ( option_num * num * num ) > num ).

tff(func_def_4013,type,
    sK2571: ( option_num * num * num ) > num ).

tff(func_def_4014,type,
    sK2572: ( option_num * num * num ) > num ).

tff(func_def_4015,type,
    sK2573: ( option_num * num * num ) > num ).

tff(func_def_4016,type,
    sK2574: ( option_num * num ) > num ).

tff(func_def_4017,type,
    sK2575: ( option_num * num ) > num ).

tff(func_def_4018,type,
    sK2576: ( num * num * option_num ) > num ).

tff(func_def_4019,type,
    sK2577: ( num * num * option_num ) > num ).

tff(func_def_4020,type,
    sK2578: ( option_num * num * num ) > num ).

tff(func_def_4021,type,
    sK2579: ( option_num * num * num ) > num ).

tff(func_def_4022,type,
    sK2580: ( option_num * num * num ) > num ).

tff(func_def_4023,type,
    sK2581: ( option_num * num * num ) > num ).

tff(func_def_4024,type,
    sK2582: ( option_num * num * num ) > num ).

tff(func_def_4025,type,
    sK2583: ( option_num * num * num ) > num ).

tff(func_def_4026,type,
    sK2584: ( option_num * num * num ) > num ).

tff(func_def_4027,type,
    sK2585: ( option_num * num * num ) > num ).

tff(func_def_4028,type,
    sK2586: ( option_num * num ) > num ).

tff(func_def_4029,type,
    sK2587: ( option_num * num ) > num ).

tff(func_def_4030,type,
    sK2588: ( num * num * option_num ) > num ).

tff(func_def_4031,type,
    sK2589: ( num * num * option_num ) > num ).

tff(func_def_4032,type,
    sK2590: ( option_num * num * num ) > num ).

tff(func_def_4033,type,
    sK2591: ( option_num * num * num ) > num ).

tff(func_def_4034,type,
    sK2592: num > num ).

tff(func_def_4035,type,
    sK2593: ( option_num * num * num ) > num ).

tff(func_def_4036,type,
    sK2594: ( option_num * num * num ) > num ).

tff(func_def_4037,type,
    sK2595: ( option_num * num * num ) > num ).

tff(func_def_4038,type,
    sK2596: ( option_num * num * num ) > num ).

tff(func_def_4039,type,
    sK2597: num > num ).

tff(func_def_4040,type,
    sK2598: num > num ).

tff(func_def_4041,type,
    sK2599: num > num ).

tff(func_def_4042,type,
    sK2600: ( num * num * option_num ) > num ).

tff(func_def_4043,type,
    sK2601: ( num * num * option_num ) > num ).

tff(func_def_4044,type,
    sK2602: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4045,type,
    sK2603: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4046,type,
    sK2604: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4047,type,
    sK2605: ( nat * vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4048,type,
    sK2606: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4049,type,
    sK2607: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4050,type,
    sK2608: ( nat * vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4051,type,
    sK2609: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4052,type,
    sK2610: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4053,type,
    sK2611: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_4054,type,
    sK2612: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_4055,type,
    sK2613: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4056,type,
    sK2614: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4057,type,
    sK2615: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4058,type,
    sK2616: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4059,type,
    sK2617: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4060,type,
    sK2618: ( option_num * num * num ) > num ).

tff(func_def_4061,type,
    sK2619: ( option_num * num * num ) > num ).

tff(func_def_4062,type,
    sK2620: ( option_num * num * num ) > num ).

tff(func_def_4063,type,
    sK2621: ( option_num * num * num ) > num ).

tff(func_def_4064,type,
    sK2622: ( option_num * num * num ) > num ).

tff(func_def_4065,type,
    sK2623: ( option_num * num * num ) > num ).

tff(func_def_4066,type,
    sK2624: ( option_num * num * num ) > num ).

tff(func_def_4067,type,
    sK2625: ( option_num * num * num ) > num ).

tff(func_def_4068,type,
    sK2626: ( option_num * num ) > num ).

tff(func_def_4069,type,
    sK2627: ( option_num * num ) > num ).

tff(func_def_4070,type,
    sK2628: ( num * num * option_num ) > num ).

tff(func_def_4071,type,
    sK2629: ( num * num * option_num ) > num ).

tff(func_def_4072,type,
    sK2630: ( option_num * num * num ) > num ).

tff(func_def_4073,type,
    sK2631: ( option_num * num * num ) > num ).

tff(func_def_4074,type,
    sK2632: ( option_num * num * num ) > num ).

tff(func_def_4075,type,
    sK2633: ( option_num * num * num ) > num ).

tff(func_def_4076,type,
    sK2634: ( option_num * num * num ) > num ).

tff(func_def_4077,type,
    sK2635: ( option_num * num * num ) > num ).

tff(func_def_4078,type,
    sK2636: ( option_num * num * num ) > num ).

tff(func_def_4079,type,
    sK2637: ( option_num * num * num ) > num ).

tff(func_def_4080,type,
    sK2638: num > num ).

tff(func_def_4081,type,
    sK2639: num > num ).

tff(func_def_4082,type,
    sK2640: ( num * num * option_num ) > num ).

tff(func_def_4083,type,
    sK2641: ( num * num * option_num ) > num ).

tff(func_def_4084,type,
    sK2642: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4085,type,
    sK2643: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4086,type,
    sK2644: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4087,type,
    sK2645: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4088,type,
    sK2646: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4089,type,
    sK2647: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4090,type,
    sK2648: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4091,type,
    sK2649: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4092,type,
    sK2650: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4093,type,
    sK2651: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4094,type,
    sK2652: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4095,type,
    sK2653: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4096,type,
    sK2654: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4097,type,
    sK2655: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4098,type,
    sK2656: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4099,type,
    sK2657: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4100,type,
    sK2658: ( nat * option_nat * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_4101,type,
    sK2659: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4102,type,
    sK2660: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4103,type,
    sK2661: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4104,type,
    sK2662: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4105,type,
    sK2663: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4106,type,
    sK2664: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4107,type,
    sK2665: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4108,type,
    sK2666: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4109,type,
    sK2667: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4110,type,
    sK2668: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4111,type,
    sK2669: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4112,type,
    sK2670: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4113,type,
    sK2671: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4114,type,
    sK2672: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4115,type,
    sK2673: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4116,type,
    sK2674: ( vEBT_VEBT * nat * option_nat ) > product_prod_nat_nat ).

tff(func_def_4117,type,
    sK2675: ( vEBT_VEBT * nat * option_nat ) > list_VEBT_VEBT ).

tff(func_def_4118,type,
    sK2676: ( vEBT_VEBT * nat * option_nat ) > vEBT_VEBT ).

tff(func_def_4119,type,
    sK2677: vEBT_VEBT > nat ).

tff(func_def_4120,type,
    sK2678: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4121,type,
    sK2679: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4122,type,
    sK2680: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4123,type,
    sK2681: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4124,type,
    sK2682: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4125,type,
    sK2683: ( option_nat * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4126,type,
    sK2684: ( option_nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4127,type,
    sK2685: nat > nat ).

tff(func_def_4128,type,
    sK2686: vEBT_VEBT > bool ).

tff(func_def_4129,type,
    sK2687: vEBT_VEBT > bool ).

tff(func_def_4130,type,
    sK2688: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4131,type,
    sK2689: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4132,type,
    sK2690: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4133,type,
    sK2691: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4134,type,
    sK2692: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4135,type,
    sK2693: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4136,type,
    sK2694: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4137,type,
    sK2695: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4138,type,
    sK2696: ( nat * option_nat * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_4139,type,
    sK2697: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4140,type,
    sK2698: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4141,type,
    sK2699: ( nat * option_nat * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_4142,type,
    sK2700: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4143,type,
    sK2701: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4144,type,
    sK2702: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4145,type,
    sK2703: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4146,type,
    sK2704: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4147,type,
    sK2705: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4148,type,
    sK2706: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4149,type,
    sK2707: ( nat * option_nat * vEBT_VEBT ) > nat ).

tff(func_def_4150,type,
    sK2708: ( nat * option_nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4151,type,
    sK2709: ( nat * option_nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4152,type,
    sK2710: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4153,type,
    sK2711: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4154,type,
    sK2712: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4155,type,
    sK2713: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4156,type,
    sK2714: ( bool * bool * option_nat * nat ) > nat ).

tff(func_def_4157,type,
    sK2715: ( vEBT_VEBT * nat * option_nat ) > bool ).

tff(func_def_4158,type,
    sK2716: ( vEBT_VEBT * nat * option_nat ) > bool ).

tff(func_def_4159,type,
    sK2717: vEBT_VEBT > nat ).

tff(func_def_4160,type,
    sK2718: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4161,type,
    sK2719: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4162,type,
    sK2720: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4163,type,
    sK2721: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4164,type,
    sK2722: ( option_nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4165,type,
    sK2723: ( option_nat * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4166,type,
    sK2724: ( option_nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4167,type,
    sK2725: vEBT_VEBT > bool ).

tff(func_def_4168,type,
    sK2726: vEBT_VEBT > bool ).

tff(func_def_4169,type,
    sK2727: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4170,type,
    sK2728: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4171,type,
    sK2729: nat > nat ).

tff(func_def_4172,type,
    sK2730: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4173,type,
    sK2731: ( option_nat * nat * vEBT_VEBT ) > bool ).

tff(func_def_4174,type,
    sK2732: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4175,type,
    sK2733: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4176,type,
    sK2734: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4177,type,
    sK2735: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4178,type,
    sK2736: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4179,type,
    sK2737: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4180,type,
    sK2738: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4181,type,
    sK2739: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4182,type,
    sK2740: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4183,type,
    sK2741: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4184,type,
    sK2742: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4185,type,
    sK2743: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4186,type,
    sK2744: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4187,type,
    sK2745: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4188,type,
    sK2746: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4189,type,
    sK2747: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4190,type,
    sK2748: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4191,type,
    sK2749: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4192,type,
    sK2750: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4193,type,
    sK2751: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4194,type,
    sK2752: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4195,type,
    sK2753: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4196,type,
    sK2754: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4197,type,
    sK2755: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4198,type,
    sK2756: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4199,type,
    sK2757: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4200,type,
    sK2758: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4201,type,
    sK2759: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4202,type,
    sK2760: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4203,type,
    sK2761: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4204,type,
    sK2762: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4205,type,
    sK2763: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4206,type,
    sK2764: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4207,type,
    sK2765: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4208,type,
    sK2766: nat > nat ).

tff(func_def_4209,type,
    sK2767: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4210,type,
    sK2768: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4211,type,
    sK2769: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4212,type,
    sK2770: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_4213,type,
    sK2771: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4214,type,
    sK2772: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4215,type,
    sK2773: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4216,type,
    sK2774: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4217,type,
    sK2775: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4218,type,
    sK2776: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4219,type,
    sK2777: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4220,type,
    sK2778: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4221,type,
    sK2779: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4222,type,
    sK2780: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4223,type,
    sK2781: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_4224,type,
    sK2782: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4225,type,
    sK2783: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4226,type,
    sK2784: ( real * set_real * fun_real_rat ) > real ).

tff(func_def_4227,type,
    sK2785: ( real * set_real * fun_real_real ) > real ).

tff(func_def_4228,type,
    sK2786: ( real * set_real * fun_real_nat ) > real ).

tff(func_def_4229,type,
    sK2787: ( int * set_int * fun_int_rat ) > int ).

tff(func_def_4230,type,
    sK2788: ( int * set_int * fun_int_real ) > int ).

tff(func_def_4231,type,
    sK2789: ( bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_4232,type,
    sK2790: ( bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_4233,type,
    sK2791: ( complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_4234,type,
    sK2792: ( complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_4235,type,
    sK2793: ( nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_4236,type,
    sK2794: ( real * nat * fun_nat_complex ) > nat ).

tff(func_def_4237,type,
    sK2795: ( real * nat * fun_nat_real ) > nat ).

tff(func_def_4238,type,
    sK2796: ( rat * rat * rat ) > rat ).

tff(func_def_4239,type,
    sK2797: ( rat * rat * rat ) > rat ).

tff(func_def_4240,type,
    sK2798: ( real * real * real ) > real ).

tff(func_def_4241,type,
    sK2799: ( real * real * real ) > real ).

tff(func_def_4242,type,
    sK2800: ( nat * set_nat ) > nat ).

tff(func_def_4243,type,
    sK2801: fun_nat_fun_nat_bool > nat ).

tff(func_def_4244,type,
    sK2802: fun_nat_fun_nat_bool > nat ).

tff(func_def_4245,type,
    sK2803: fun_nat_fun_nat_bool > nat ).

tff(func_def_4246,type,
    sK2804: fun_nat_fun_nat_bool > nat ).

tff(func_def_4247,type,
    sK2805: ( fun_nat_bool * nat ) > nat ).

tff(func_def_4248,type,
    sK2806: ( nat * fun_nat_bool ) > nat ).

tff(func_def_4249,type,
    sK2807: ( nat * fun_nat_bool ) > nat ).

tff(func_def_4250,type,
    sK2808: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_4251,type,
    sK2809: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_4252,type,
    sK2810: fun_nat_fun_nat_bool > nat ).

tff(func_def_4253,type,
    sK2811: fun_nat_fun_nat_bool > nat ).

tff(func_def_4254,type,
    sK2812: fun_nat_fun_nat_bool > nat ).

tff(func_def_4255,type,
    sK2813: fun_nat_fun_nat_bool > nat ).

tff(func_def_4256,type,
    sK2814: fun_nat_fun_nat_bool > nat ).

tff(func_def_4257,type,
    sK2815: ( int * int * product_prod_int_int ) > int ).

tff(func_def_4258,type,
    sK2816: ( int * int * product_prod_int_int ) > int ).

tff(func_def_4259,type,
    sK2817: ( int * int * product_prod_int_int ) > int ).

tff(func_def_4260,type,
    sK2818: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_4261,type,
    sK2819: ( num * num * num ) > num ).

tff(func_def_4262,type,
    sK2820: ( num * num * num ) > num ).

tff(func_def_4263,type,
    sK2821: ( num * num * num ) > num ).

tff(func_def_4264,type,
    sK2822: ( num * num * num ) > num ).

tff(func_def_4265,type,
    sK2823: ( num * num * num ) > num ).

tff(func_def_4266,type,
    sK2824: ( num * num * num ) > num ).

tff(func_def_4267,type,
    sK2825: ( num * num * num ) > num ).

tff(func_def_4268,type,
    sK2826: ( num * num * num ) > num ).

tff(func_def_4269,type,
    sK2827: ( num * num ) > num ).

tff(func_def_4270,type,
    sK2828: ( num * num ) > num ).

tff(func_def_4271,type,
    sK2829: ( num * num * num ) > num ).

tff(func_def_4272,type,
    sK2830: ( num * num * num ) > num ).

tff(func_def_4273,type,
    sK2831: ( num * num * num ) > num ).

tff(func_def_4274,type,
    sK2832: ( num * num * num ) > num ).

tff(func_def_4275,type,
    sK2833: num > num ).

tff(func_def_4276,type,
    sK2834: ( num * num * num ) > num ).

tff(func_def_4277,type,
    sK2835: ( num * num * num ) > num ).

tff(func_def_4278,type,
    sK2836: ( num * num * num ) > num ).

tff(func_def_4279,type,
    sK2837: ( num * num * num ) > num ).

tff(func_def_4280,type,
    sK2838: num > num ).

tff(func_def_4281,type,
    sK2839: ( num * num ) > num ).

tff(func_def_4282,type,
    sK2840: ( num * num ) > num ).

tff(func_def_4283,type,
    sK2841: ( num * num * num ) > num ).

tff(func_def_4284,type,
    sK2842: ( num * num * num ) > num ).

tff(func_def_4285,type,
    sK2843: ( list_int * fun_int_bool ) > int ).

tff(func_def_4286,type,
    sK2844: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_4287,type,
    sK2845: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_4288,type,
    sK2846: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_4289,type,
    sK2847: ( fun_fu7919257609373989805t_bool * fun_na1668100129766719005at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4290,type,
    sK2848: ( fun_fu7919257609373989805t_bool * fun_na1668100129766719005at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4291,type,
    sK2849: ( fun_fu5641360819561228055l_bool * fun_na4786964484885125043t_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4292,type,
    sK2850: ( fun_fu5641360819561228055l_bool * fun_na4786964484885125043t_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4293,type,
    sK2851: ( fun_Pr803113274115125473t_bool * fun_in1696471567231710611nt_int * product_prod_int_int ) > int ).

tff(func_def_4294,type,
    sK2852: ( fun_Pr803113274115125473t_bool * fun_in1696471567231710611nt_int * product_prod_int_int ) > int ).

tff(func_def_4295,type,
    sK2853: ( fun_na4786964484885125043t_bool * product_prod_nat_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4296,type,
    sK2854: ( fun_na4786964484885125043t_bool * product_prod_nat_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4297,type,
    sK2855: ( fun_bool_bool * fun_nat_fun_nat_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4298,type,
    sK2856: ( fun_bool_bool * fun_nat_fun_nat_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4299,type,
    sK2857: ( real * fun_na3666575854997362246t_real * product_prod_nat_num ) > nat ).

tff(func_def_4300,type,
    sK2858: ( real * fun_na3666575854997362246t_real * product_prod_nat_num ) > num ).

tff(func_def_4301,type,
    sK2859: ( real * fun_nu4698968662094489488t_real * product_prod_num_num ) > num ).

tff(func_def_4302,type,
    sK2860: ( real * fun_nu4698968662094489488t_real * product_prod_num_num ) > num ).

tff(func_def_4303,type,
    sK2861: ( int * fun_na8306170748371236422et_int * product_prod_nat_num ) > nat ).

tff(func_def_4304,type,
    sK2862: ( int * fun_na8306170748371236422et_int * product_prod_nat_num ) > num ).

tff(func_def_4305,type,
    sK2863: ( int * fun_nu4940571614878387344et_int * product_prod_num_num ) > num ).

tff(func_def_4306,type,
    sK2864: ( int * fun_nu4940571614878387344et_int * product_prod_num_num ) > num ).

tff(func_def_4307,type,
    sK2865: ( bool * fun_na7380188056088765119t_bool * product_prod_nat_num ) > nat ).

tff(func_def_4308,type,
    sK2866: ( bool * fun_na7380188056088765119t_bool * product_prod_nat_num ) > num ).

tff(func_def_4309,type,
    sK2867: ( bool * fun_nu7299076251450613493t_bool * product_prod_num_num ) > num ).

tff(func_def_4310,type,
    sK2868: ( bool * fun_nu7299076251450613493t_bool * product_prod_num_num ) > num ).

tff(func_def_4311,type,
    sK2869: ( complex * fun_na3925014923085203400omplex * product_prod_nat_num ) > nat ).

tff(func_def_4312,type,
    sK2870: ( complex * fun_na3925014923085203400omplex * product_prod_nat_num ) > num ).

tff(func_def_4313,type,
    sK2871: ( complex * fun_nu9041852840018610706omplex * product_prod_num_num ) > num ).

tff(func_def_4314,type,
    sK2872: ( complex * fun_nu9041852840018610706omplex * product_prod_num_num ) > num ).

tff(func_def_4315,type,
    sK2873: ( nat * fun_na3896347130304379370et_nat * product_prod_nat_num ) > nat ).

tff(func_def_4316,type,
    sK2874: ( nat * fun_na3896347130304379370et_nat * product_prod_nat_num ) > num ).

tff(func_def_4317,type,
    sK2875: ( nat * fun_nu530747996811530292et_nat * product_prod_num_num ) > num ).

tff(func_def_4318,type,
    sK2876: ( nat * fun_nu530747996811530292et_nat * product_prod_num_num ) > num ).

tff(func_def_4319,type,
    sK2877: ( fun_nat_bool * fun_nat_fun_nat_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4320,type,
    sK2878: ( fun_nat_bool * fun_nat_fun_nat_nat * product_prod_nat_nat ) > nat ).

tff(func_def_4321,type,
    sK2879: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_4322,type,
    sK2880: ( real * fun_nat_complex ) > complex ).

tff(func_def_4323,type,
    sK2881: ( real * fun_nat_real ) > real ).

tff(func_def_4324,type,
    sK2882: fun_int_fun_int_bool > int ).

tff(func_def_4325,type,
    sK2883: fun_int_fun_int_bool > int ).

tff(func_def_4326,type,
    sK2884: fun_int_fun_int_bool > int ).

tff(func_def_4327,type,
    sK2885: fun_int_fun_int_bool > int ).

tff(func_def_4328,type,
    sK2886: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_4329,type,
    sK2887: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_4330,type,
    sK2888: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_4331,type,
    sK2889: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_4332,type,
    sK2890: ( fun_nat_complex * complex * nat ) > fun_nat_complex ).

tff(func_def_4333,type,
    sK2891: ( fun_nat_int * int * nat ) > fun_nat_int ).

tff(func_def_4334,type,
    sK2892: ( fun_nat_rat * rat * nat ) > fun_nat_rat ).

tff(func_def_4335,type,
    sK2893: ( fun_nat_real * real * nat ) > fun_nat_real ).

tff(func_def_4336,type,
    sK2894: ( int * int * int ) > int ).

tff(func_def_4337,type,
    sK2895: ( nat * nat * nat ) > nat ).

tff(func_def_4338,type,
    sK2896: ( nat * nat * nat ) > nat ).

tff(func_def_4339,type,
    sK2897: ( nat * nat * nat ) > nat ).

tff(func_def_4340,type,
    sK2898: ( option_num * option_num * fun_op1962577433978643573m_bool ) > num ).

tff(func_def_4341,type,
    sK2899: ( option_num * option_num * fun_op1962577433978643573m_bool ) > num ).

tff(func_def_4342,type,
    sK2900: ( option4927543243414619207at_nat * option_num * fun_op7732454363416259258t_bool ) > num ).

tff(func_def_4343,type,
    sK2901: ( option4927543243414619207at_nat * option_num * fun_op7732454363416259258t_bool ) > product_prod_nat_nat ).

tff(func_def_4344,type,
    sK2902: ( option_nat * option_num * fun_op1064277265382982207t_bool ) > num ).

tff(func_def_4345,type,
    sK2903: ( option_nat * option_num * fun_op1064277265382982207t_bool ) > nat ).

tff(func_def_4346,type,
    sK2904: ( option_num * option4927543243414619207at_nat * fun_op775672374849087042m_bool ) > product_prod_nat_nat ).

tff(func_def_4347,type,
    sK2905: ( option_num * option4927543243414619207at_nat * fun_op775672374849087042m_bool ) > num ).

tff(func_def_4348,type,
    sK2906: ( option4927543243414619207at_nat * option4927543243414619207at_nat * fun_op5682630191948829869t_bool ) > product_prod_nat_nat ).

tff(func_def_4349,type,
    sK2907: ( option4927543243414619207at_nat * option4927543243414619207at_nat * fun_op5682630191948829869t_bool ) > product_prod_nat_nat ).

tff(func_def_4350,type,
    sK2908: ( option_nat * option4927543243414619207at_nat * fun_op9100744243108201484t_bool ) > product_prod_nat_nat ).

tff(func_def_4351,type,
    sK2909: ( option_nat * option4927543243414619207at_nat * fun_op9100744243108201484t_bool ) > nat ).

tff(func_def_4352,type,
    sK2910: ( option_num * option_nat * fun_op8690601775248757823m_bool ) > nat ).

tff(func_def_4353,type,
    sK2911: ( option_num * option_nat * fun_op8690601775248757823m_bool ) > num ).

tff(func_def_4354,type,
    sK2912: ( option4927543243414619207at_nat * option_nat * fun_op5698422665285572208t_bool ) > nat ).

tff(func_def_4355,type,
    sK2913: ( option4927543243414619207at_nat * option_nat * fun_op5698422665285572208t_bool ) > product_prod_nat_nat ).

tff(func_def_4356,type,
    sK2914: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).

tff(func_def_4357,type,
    sK2915: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).

tff(func_def_4358,type,
    sK2916: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4359,type,
    sK2917: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4360,type,
    sK2918: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4361,type,
    sK2919: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4362,type,
    sK2920: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4363,type,
    sK2921: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4364,type,
    sK2922: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4365,type,
    sK2923: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4366,type,
    sK2924: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4367,type,
    sK2925: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_4368,type,
    sK2926: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_4369,type,
    sK2927: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_4370,type,
    sK2928: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4371,type,
    sK2929: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_4372,type,
    sK2930: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_4373,type,
    sK2931: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_4374,type,
    sK2932: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4375,type,
    sK2933: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4376,type,
    sK2934: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_4377,type,
    sK2935: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4378,type,
    sK2936: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4379,type,
    sK2937: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4380,type,
    sK2938: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4381,type,
    sK2939: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4382,type,
    sK2940: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4383,type,
    sK2941: vEBT_VEBT > bool ).

tff(func_def_4384,type,
    sK2942: vEBT_VEBT > bool ).

tff(func_def_4385,type,
    sK2943: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4386,type,
    sK2944: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_4387,type,
    sK2945: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4388,type,
    sK2946: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_4389,type,
    sK2947: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_4390,type,
    sK2948: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4391,type,
    sK2949: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4392,type,
    sK2950: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4393,type,
    sK2951: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4394,type,
    sK2952: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4395,type,
    sK2953: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4396,type,
    sK2954: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4397,type,
    sK2955: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4398,type,
    sK2956: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4399,type,
    sK2957: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4400,type,
    sK2958: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4401,type,
    sK2959: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4402,type,
    sK2960: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4403,type,
    sK2961: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4404,type,
    sK2962: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4405,type,
    sK2963: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4406,type,
    sK2964: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4407,type,
    sK2965: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4408,type,
    sK2966: vEBT_VEBT > bool ).

tff(func_def_4409,type,
    sK2967: vEBT_VEBT > bool ).

tff(func_def_4410,type,
    sK2968: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4411,type,
    sK2969: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4412,type,
    sK2970: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4413,type,
    sK2971: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4414,type,
    sK2972: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4415,type,
    sK2973: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_4416,type,
    sK2974: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_4417,type,
    sK2975: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4418,type,
    sK2976: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4419,type,
    sK2977: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4420,type,
    sK2978: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_4421,type,
    sK2979: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_4422,type,
    sK2980: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4423,type,
    sK2981: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4424,type,
    sK2982: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4425,type,
    sK2983: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4426,type,
    sK2984: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4427,type,
    sK2985: ( nat * bool * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_4428,type,
    sK2986: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4429,type,
    sK2987: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4430,type,
    sK2988: ( nat * bool * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_4431,type,
    sK2989: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4432,type,
    sK2990: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4433,type,
    sK2991: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_4434,type,
    sK2992: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_4435,type,
    sK2993: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4436,type,
    sK2994: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4437,type,
    sK2995: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_4438,type,
    sK2996: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4439,type,
    sK2997: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4440,type,
    sK2998: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4441,type,
    sK2999: vEBT_VEBT > nat ).

tff(func_def_4442,type,
    sK3000: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4443,type,
    sK3001: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4444,type,
    sK3002: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_4445,type,
    sK3003: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_4446,type,
    sK3004: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4447,type,
    sK3005: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4448,type,
    sK3006: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_4449,type,
    sK3007: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_4450,type,
    sK3008: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_4451,type,
    sK3009: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_4452,type,
    sK3010: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_4453,type,
    sK3011: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4454,type,
    sK3012: fun_nat_fun_nat_bool > nat ).

tff(func_def_4455,type,
    sK3013: fun_nat_fun_nat_bool > nat ).

tff(func_def_4456,type,
    sK3014: fun_nat_fun_nat_bool > nat ).

tff(func_def_4457,type,
    sK3015: fun_nat_fun_nat_bool > nat ).

tff(func_def_4458,type,
    sK3016: code_integer > nat ).

tff(func_def_4459,type,
    sK3017: int > nat ).

tff(func_def_4460,type,
    sK3018: nat > nat ).

tff(func_def_4461,type,
    sK3019: ( fun_nat_complex * nat ) > complex ).

tff(func_def_4462,type,
    sK3020: ( fun_nat_real * nat ) > real ).

tff(func_def_4463,type,
    sK3021: ( fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4464,type,
    sK3022: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_4465,type,
    sK3023: fun_nat_set_nat > nat ).

tff(func_def_4466,type,
    sK3024: fun_nat_set_nat > nat ).

tff(func_def_4467,type,
    sK3025: fun_nat_num > nat ).

tff(func_def_4468,type,
    sK3026: fun_nat_num > nat ).

tff(func_def_4469,type,
    sK3027: fun_nat_num > nat ).

tff(func_def_4470,type,
    sK3028: fun_nat_num > nat ).

tff(func_def_4471,type,
    sK3029: fun_nat_int > nat ).

tff(func_def_4472,type,
    sK3030: fun_nat_int > nat ).

tff(func_def_4473,type,
    sK3031: fun_nat_int > nat ).

tff(func_def_4474,type,
    sK3032: fun_nat_int > nat ).

tff(func_def_4475,type,
    sK3033: fun_nat_rat > nat ).

tff(func_def_4476,type,
    sK3034: fun_nat_rat > nat ).

tff(func_def_4477,type,
    sK3035: fun_nat_rat > nat ).

tff(func_def_4478,type,
    sK3036: fun_nat_rat > nat ).

tff(func_def_4479,type,
    sK3037: fun_nat_real > nat ).

tff(func_def_4480,type,
    sK3038: fun_nat_real > nat ).

tff(func_def_4481,type,
    sK3039: fun_nat_nat > nat ).

tff(func_def_4482,type,
    sK3040: fun_nat_nat > nat ).

tff(func_def_4483,type,
    sK3041: fun_nat_nat > nat ).

tff(func_def_4484,type,
    sK3042: fun_nat_nat > nat ).

tff(func_def_4485,type,
    sK3043: ( int * int ) > nat ).

tff(func_def_4486,type,
    sK3044: ( nat * nat ) > nat ).

tff(func_def_4487,type,
    sK3045: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4488,type,
    sK3046: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4489,type,
    sK3047: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4490,type,
    sK3048: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4491,type,
    sK3049: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_4492,type,
    sK3050: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_4493,type,
    sK3051: ( set_int * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_4494,type,
    sK3052: ( set_int * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_4495,type,
    sK3053: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_4496,type,
    sK3054: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_4497,type,
    sK3055: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4498,type,
    sK3056: ( set_bool * fun_bool_nat * fun_bool_nat ) > bool ).

tff(func_def_4499,type,
    sK3057: ( set_bool * fun_bool_nat * fun_bool_nat ) > bool ).

tff(func_def_4500,type,
    sK3058: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4501,type,
    sK3059: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_4502,type,
    sK3060: ( set_complex * fun_complex_int * fun_complex_int ) > complex ).

tff(func_def_4503,type,
    sK3061: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_4504,type,
    sK3062: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_4505,type,
    sK3063: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_4506,type,
    sK3064: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_4507,type,
    sK3065: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4508,type,
    sK3066: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_4509,type,
    sK3067: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_4510,type,
    sK3068: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_4511,type,
    sK3069: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_4512,type,
    sK3070: ( list_real * fun_real_bool ) > real ).

tff(func_def_4513,type,
    sK3071: ( list_int * fun_int_bool ) > int ).

tff(func_def_4514,type,
    sK3072: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_4515,type,
    sK3073: ( list_complex * fun_complex_bool ) > complex ).

tff(func_def_4516,type,
    sK3074: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_4517,type,
    sK3075: ( fun_nat_bool * nat ) > nat ).

tff(func_def_4518,type,
    sK3076: ( nat * fun_nat_bool ) > nat ).

tff(func_def_4519,type,
    sK3077: ( nat * fun_nat_real ) > nat ).

tff(func_def_4520,type,
    sK3078: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_4521,type,
    sK3079: ( nat * fun_nat_int ) > nat ).

tff(func_def_4522,type,
    sK3080: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_4523,type,
    sK3081: ( nat * fun_nat_int ) > nat ).

tff(func_def_4524,type,
    sK3082: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_4525,type,
    sK3083: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4526,type,
    sK3084: ( list_real * fun_real_bool ) > nat ).

tff(func_def_4527,type,
    sK3085: ( list_complex * fun_complex_bool ) > nat ).

tff(func_def_4528,type,
    sK3086: ( list_int * fun_int_bool ) > nat ).

tff(func_def_4529,type,
    sK3087: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_4530,type,
    sK3088: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_4531,type,
    sK3089: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_4532,type,
    sK3090: ( real * fun_nat_real ) > real ).

tff(func_def_4533,type,
    sK3091: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4534,type,
    sK3092: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4535,type,
    sK3093: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4536,type,
    sK3094: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4537,type,
    sK3095: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4538,type,
    sK3096: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4539,type,
    sK3097: fun_se177437144654672861at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_4540,type,
    sK3098: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4541,type,
    sK3099: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4542,type,
    sK3100: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4543,type,
    sK3101: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4544,type,
    sK3102: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4545,type,
    sK3103: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4546,type,
    sK3104: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4547,type,
    sK3105: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4548,type,
    sK3106: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4549,type,
    sK3107: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4550,type,
    sK3108: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4551,type,
    sK3109: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4552,type,
    sK3110: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4553,type,
    sK3111: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_4554,type,
    sK3112: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4555,type,
    sK3113: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4556,type,
    sK3114: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4557,type,
    sK3115: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4558,type,
    sK3116: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4559,type,
    sK3117: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4560,type,
    sK3118: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_4561,type,
    sK3119: fun_int_fun_int_int > int ).

tff(func_def_4562,type,
    sK3120: fun_int_fun_int_int > int ).

tff(func_def_4563,type,
    sK3121: fun_int_fun_int_int > int ).

tff(func_def_4564,type,
    sK3122: fun_int_fun_int_int > int ).

tff(func_def_4565,type,
    sK3123: fun_int_fun_int_int > int ).

tff(func_def_4566,type,
    sK3124: fun_int_fun_int_int > int ).

tff(func_def_4567,type,
    sK3125: fun_int_fun_int_int > int ).

tff(func_def_4568,type,
    sK3126: fun_int_fun_int_int > int ).

tff(func_def_4569,type,
    sK3127: fun_int_fun_int_int > int ).

tff(func_def_4570,type,
    sK3128: fun_int_fun_int_int > int ).

tff(func_def_4571,type,
    sK3129: fun_int_fun_int_int > int ).

tff(func_def_4572,type,
    sK3130: fun_int_fun_int_int > int ).

tff(func_def_4573,type,
    sK3131: fun_int_fun_int_int > int ).

tff(func_def_4574,type,
    sK3132: fun_int_fun_int_int > int ).

tff(func_def_4575,type,
    sK3133: fun_rat_fun_rat_rat > rat ).

tff(func_def_4576,type,
    sK3134: fun_rat_fun_rat_rat > rat ).

tff(func_def_4577,type,
    sK3135: fun_rat_fun_rat_rat > rat ).

tff(func_def_4578,type,
    sK3136: fun_rat_fun_rat_rat > rat ).

tff(func_def_4579,type,
    sK3137: fun_rat_fun_rat_rat > rat ).

tff(func_def_4580,type,
    sK3138: fun_rat_fun_rat_rat > rat ).

tff(func_def_4581,type,
    sK3139: fun_rat_fun_rat_rat > rat ).

tff(func_def_4582,type,
    sK3140: fun_rat_fun_rat_rat > rat ).

tff(func_def_4583,type,
    sK3141: fun_rat_fun_rat_rat > rat ).

tff(func_def_4584,type,
    sK3142: fun_rat_fun_rat_rat > rat ).

tff(func_def_4585,type,
    sK3143: fun_rat_fun_rat_rat > rat ).

tff(func_def_4586,type,
    sK3144: fun_rat_fun_rat_rat > rat ).

tff(func_def_4587,type,
    sK3145: fun_rat_fun_rat_rat > rat ).

tff(func_def_4588,type,
    sK3146: fun_rat_fun_rat_rat > rat ).

tff(func_def_4589,type,
    sK3147: fun_nat_fun_nat_nat > nat ).

tff(func_def_4590,type,
    sK3148: fun_nat_fun_nat_nat > nat ).

tff(func_def_4591,type,
    sK3149: fun_nat_fun_nat_nat > nat ).

tff(func_def_4592,type,
    sK3150: fun_nat_fun_nat_nat > nat ).

tff(func_def_4593,type,
    sK3151: fun_nat_fun_nat_nat > nat ).

tff(func_def_4594,type,
    sK3152: fun_nat_fun_nat_nat > nat ).

tff(func_def_4595,type,
    sK3153: fun_nat_fun_nat_nat > nat ).

tff(func_def_4596,type,
    sK3154: fun_nat_fun_nat_nat > nat ).

tff(func_def_4597,type,
    sK3155: fun_nat_fun_nat_nat > nat ).

tff(func_def_4598,type,
    sK3156: fun_nat_fun_nat_nat > nat ).

tff(func_def_4599,type,
    sK3157: fun_nat_fun_nat_nat > nat ).

tff(func_def_4600,type,
    sK3158: fun_nat_fun_nat_nat > nat ).

tff(func_def_4601,type,
    sK3159: fun_nat_fun_nat_nat > nat ).

tff(func_def_4602,type,
    sK3160: fun_nat_fun_nat_nat > nat ).

tff(func_def_4603,type,
    sK3161: ( product_prod_nat_num * real * fun_na3666575854997362246t_real ) > nat ).

tff(func_def_4604,type,
    sK3162: ( product_prod_nat_num * real * fun_na3666575854997362246t_real ) > num ).

tff(func_def_4605,type,
    sK3163: ( product_prod_nat_num * int * fun_na8306170748371236422et_int ) > nat ).

tff(func_def_4606,type,
    sK3164: ( product_prod_nat_num * int * fun_na8306170748371236422et_int ) > num ).

tff(func_def_4607,type,
    sK3165: ( product_prod_nat_num * bool * fun_na7380188056088765119t_bool ) > nat ).

tff(func_def_4608,type,
    sK3166: ( product_prod_nat_num * bool * fun_na7380188056088765119t_bool ) > num ).

tff(func_def_4609,type,
    sK3167: ( product_prod_nat_num * complex * fun_na3925014923085203400omplex ) > nat ).

tff(func_def_4610,type,
    sK3168: ( product_prod_nat_num * complex * fun_na3925014923085203400omplex ) > num ).

tff(func_def_4611,type,
    sK3169: ( product_prod_nat_num * nat * fun_na3896347130304379370et_nat ) > nat ).

tff(func_def_4612,type,
    sK3170: ( product_prod_nat_num * nat * fun_na3896347130304379370et_nat ) > num ).

tff(func_def_4613,type,
    sK3171: ( product_prod_num_num * real * fun_nu4698968662094489488t_real ) > num ).

tff(func_def_4614,type,
    sK3172: ( product_prod_num_num * real * fun_nu4698968662094489488t_real ) > num ).

tff(func_def_4615,type,
    sK3173: ( product_prod_num_num * int * fun_nu4940571614878387344et_int ) > num ).

tff(func_def_4616,type,
    sK3174: ( product_prod_num_num * int * fun_nu4940571614878387344et_int ) > num ).

tff(func_def_4617,type,
    sK3175: ( product_prod_num_num * bool * fun_nu7299076251450613493t_bool ) > num ).

tff(func_def_4618,type,
    sK3176: ( product_prod_num_num * bool * fun_nu7299076251450613493t_bool ) > num ).

tff(func_def_4619,type,
    sK3177: ( product_prod_num_num * complex * fun_nu9041852840018610706omplex ) > num ).

tff(func_def_4620,type,
    sK3178: ( product_prod_num_num * complex * fun_nu9041852840018610706omplex ) > num ).

tff(func_def_4621,type,
    sK3179: ( product_prod_num_num * nat * fun_nu530747996811530292et_nat ) > num ).

tff(func_def_4622,type,
    sK3180: ( product_prod_num_num * nat * fun_nu530747996811530292et_nat ) > num ).

tff(func_def_4623,type,
    sK3181: ( product_prod_nat_nat * fun_na4786964484885125043t_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4624,type,
    sK3182: ( product_prod_nat_nat * fun_na4786964484885125043t_bool * product_prod_nat_nat ) > nat ).

tff(func_def_4625,type,
    sK3183: fun_num_fun_num_bool > num ).

tff(func_def_4626,type,
    sK3184: fun_num_fun_num_bool > num ).

tff(func_def_4627,type,
    sK3185: fun_num_fun_num_bool > num ).

tff(func_def_4628,type,
    sK3186: fun_num_fun_num_bool > num ).

tff(func_def_4629,type,
    sK3187: fun_num_fun_num_bool > num ).

tff(func_def_4630,type,
    sK3188: fun_num_fun_num_bool > num ).

tff(func_def_4631,type,
    sK3189: fun_num_fun_num_bool > num ).

tff(func_def_4632,type,
    sK3190: fun_num_fun_num_bool > num ).

tff(func_def_4633,type,
    sK3191: fun_num_fun_num_bool > num ).

tff(func_def_4634,type,
    sK3192: fun_int_fun_int_bool > int ).

tff(func_def_4635,type,
    sK3193: fun_int_fun_int_bool > int ).

tff(func_def_4636,type,
    sK3194: fun_int_fun_int_bool > int ).

tff(func_def_4637,type,
    sK3195: fun_int_fun_int_bool > int ).

tff(func_def_4638,type,
    sK3196: fun_int_fun_int_bool > int ).

tff(func_def_4639,type,
    sK3197: fun_int_fun_int_bool > int ).

tff(func_def_4640,type,
    sK3198: fun_int_fun_int_bool > int ).

tff(func_def_4641,type,
    sK3199: fun_int_fun_int_bool > int ).

tff(func_def_4642,type,
    sK3200: fun_int_fun_int_bool > int ).

tff(func_def_4643,type,
    sK3201: fun_rat_fun_rat_bool > rat ).

tff(func_def_4644,type,
    sK3202: fun_rat_fun_rat_bool > rat ).

tff(func_def_4645,type,
    sK3203: fun_rat_fun_rat_bool > rat ).

tff(func_def_4646,type,
    sK3204: fun_rat_fun_rat_bool > rat ).

tff(func_def_4647,type,
    sK3205: fun_rat_fun_rat_bool > rat ).

tff(func_def_4648,type,
    sK3206: fun_rat_fun_rat_bool > rat ).

tff(func_def_4649,type,
    sK3207: fun_rat_fun_rat_bool > rat ).

tff(func_def_4650,type,
    sK3208: fun_rat_fun_rat_bool > rat ).

tff(func_def_4651,type,
    sK3209: fun_rat_fun_rat_bool > rat ).

tff(func_def_4652,type,
    sK3210: fun_re1255401033344146673l_bool > real ).

tff(func_def_4653,type,
    sK3211: fun_re1255401033344146673l_bool > real ).

tff(func_def_4654,type,
    sK3212: fun_re1255401033344146673l_bool > real ).

tff(func_def_4655,type,
    sK3213: fun_re1255401033344146673l_bool > real ).

tff(func_def_4656,type,
    sK3214: fun_re1255401033344146673l_bool > real ).

tff(func_def_4657,type,
    sK3215: fun_nat_fun_nat_bool > nat ).

tff(func_def_4658,type,
    sK3216: fun_nat_fun_nat_bool > nat ).

tff(func_def_4659,type,
    sK3217: fun_nat_fun_nat_bool > nat ).

tff(func_def_4660,type,
    sK3218: fun_nat_fun_nat_bool > nat ).

tff(func_def_4661,type,
    sK3219: fun_nat_fun_nat_bool > nat ).

tff(func_def_4662,type,
    sK3220: fun_nat_nat > nat ).

tff(func_def_4663,type,
    sK3221: fun_nat_nat > nat ).

tff(func_def_4664,type,
    sK3222: fun_nat_nat > nat ).

tff(func_def_4665,type,
    sK3223: fun_nat_nat > nat ).

tff(func_def_4666,type,
    sK3224: fun_nat_fun_nat_bool > nat ).

tff(func_def_4667,type,
    sK3225: fun_nat_fun_nat_bool > nat ).

tff(func_def_4668,type,
    sK3226: fun_nat_fun_nat_bool > nat ).

tff(func_def_4669,type,
    sK3227: fun_nat_fun_nat_bool > nat ).

tff(func_def_4670,type,
    sK3228: ( fun_nat_nat * nat ) > nat ).

tff(func_def_4671,type,
    sK3229: ( fun_nat_nat * nat ) > nat ).

tff(func_def_4672,type,
    sK3230: ( nat * fun_nat_nat ) > nat ).

tff(func_def_4673,type,
    sK3231: ( nat * fun_nat_nat ) > nat ).

tff(func_def_4674,type,
    sK3232: fun_nat_fun_nat_bool > nat ).

tff(func_def_4675,type,
    sK3233: fun_nat_fun_nat_bool > nat ).

tff(func_def_4676,type,
    sK3234: fun_nat_fun_nat_bool > nat ).

tff(func_def_4677,type,
    sK3235: fun_nat_fun_nat_bool > nat ).

tff(func_def_4678,type,
    sK3236: fun_nat_fun_nat_bool > nat ).

tff(func_def_4679,type,
    sK3237: ( int * int * product_prod_int_int ) > int ).

tff(func_def_4680,type,
    sK3238: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4681,type,
    sK3239: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4682,type,
    sK3240: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4683,type,
    sK3241: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4684,type,
    sK3242: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4685,type,
    sK3243: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4686,type,
    sK3244: ( product_prod_int_int * int * int ) > int ).

tff(func_def_4687,type,
    sK3245: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4688,type,
    sK3246: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4689,type,
    sK3247: ( nat * nat * set_nat ) > nat ).

tff(func_def_4690,type,
    sK3248: ( nat * nat * set_nat ) > nat ).

tff(func_def_4691,type,
    sK3249: ( fun_real_bool * real * nat ) > real ).

tff(func_def_4692,type,
    sK3250: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4693,type,
    sK3251: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4694,type,
    sK3252: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4695,type,
    sK3253: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4696,type,
    sK3254: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4697,type,
    sK3255: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4698,type,
    sK3256: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_4699,type,
    sK3257: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4700,type,
    sK3258: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_4701,type,
    sK3259: ( nat * nat * nat ) > nat ).

tff(func_def_4702,type,
    sK3260: ( nat * nat * nat ) > nat ).

tff(func_def_4703,type,
    sK3261: ( fun_nat_complex * nat ) > nat ).

tff(func_def_4704,type,
    sK3262: ( fun_nat_complex * nat * complex ) > complex ).

tff(func_def_4705,type,
    sK3263: ( fun_nat_real * nat ) > nat ).

tff(func_def_4706,type,
    sK3264: ( fun_nat_real * nat * real ) > real ).

tff(func_def_4707,type,
    sK3265: ( fun_nat_complex * nat * fun_nat_complex ) > nat ).

tff(func_def_4708,type,
    sK3266: ( fun_nat_complex * nat * fun_nat_complex ) > complex ).

tff(func_def_4709,type,
    sK3267: ( fun_nat_real * nat * fun_nat_real ) > nat ).

tff(func_def_4710,type,
    sK3268: ( fun_nat_real * nat * fun_nat_real ) > real ).

tff(func_def_4711,type,
    sK3269: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_4712,type,
    sK3270: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_4713,type,
    sK3271: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_4714,type,
    sK3272: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_4715,type,
    sK3273: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat * fun_Pr1607443439640623155t_bool ) > produc3843707927480180839at_nat ).

tff(func_def_4716,type,
    sK3274: ( fun_nat_bool * set_nat ) > nat ).

tff(func_def_4717,type,
    sK3275: ( fun_nat_bool * set_nat ) > nat ).

tff(func_def_4718,type,
    sK3276: ( set_nat * set_nat * fun_nat_bool ) > nat ).

tff(func_def_4719,type,
    sK3277: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_4720,type,
    sK3278: ( nat * vEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_4721,type,
    sK3279: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_4722,type,
    sK3280: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_4723,type,
    sK3281: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_4724,type,
    sK3282: ( fun_nat_bool * set_nat ) > nat ).

tff(func_def_4725,type,
    sK3283: ( fun_nat_bool * set_nat ) > nat ).

tff(func_def_4726,type,
    sK3284: ( fun_nat_bool * set_nat * set_nat ) > nat ).

tff(func_def_4727,type,
    sK3285: ( fun_nat_complex * nat * complex ) > fun_nat_complex ).

tff(func_def_4728,type,
    sK3286: ( fun_nat_real * nat * real ) > fun_nat_real ).

tff(func_def_4729,type,
    sK3287: ( fun_nat_int * nat * int ) > fun_nat_int ).

tff(func_def_4730,type,
    sK3288: ( fun_nat_rat * nat * rat ) > fun_nat_rat ).

tff(func_def_4731,type,
    sK3289: ( fun_real_real * real ) > real ).

tff(func_def_4732,type,
    sK3290: ( set_list_nat * fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_4733,type,
    sK3291: ( set_set_nat * fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_4734,type,
    sK3292: ( set_real * fun_real_rat ) > real ).

tff(func_def_4735,type,
    sK3293: ( set_real * fun_real_real ) > real ).

tff(func_def_4736,type,
    sK3294: ( set_real * fun_real_nat ) > real ).

tff(func_def_4737,type,
    sK3295: ( set_real * fun_re6978948838062957830nteger * fun_re6978948838062957830nteger ) > real ).

tff(func_def_4738,type,
    sK3296: ( set_real * fun_real_int * fun_real_int ) > real ).

tff(func_def_4739,type,
    sK3297: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4740,type,
    sK3298: ( set_real * fun_real_complex * fun_real_complex ) > real ).

tff(func_def_4741,type,
    sK3299: ( set_real * set_real * fun_real_complex ) > real ).

tff(func_def_4742,type,
    sK3300: ( set_real * fun_real_complex * fun_real_complex ) > real ).

tff(func_def_4743,type,
    sK3301: ( set_real * set_real * fun_real_complex ) > real ).

tff(func_def_4744,type,
    sK3302: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4745,type,
    sK3303: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_4746,type,
    sK3304: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4747,type,
    sK3305: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_4748,type,
    sK3306: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_4749,type,
    sK3307: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_4750,type,
    sK3308: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_4751,type,
    sK3309: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_4752,type,
    sK3310: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4753,type,
    sK3311: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_4754,type,
    sK3312: ( set_real * fun_real_rat * fun_real_rat ) > real ).

tff(func_def_4755,type,
    sK3313: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_4756,type,
    sK3314: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_4757,type,
    sK3315: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_4758,type,
    sK3316: ( set_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_4759,type,
    sK3317: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_4760,type,
    sK3318: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4761,type,
    sK3319: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_4762,type,
    sK3320: ( set_real * fun_real_nat * fun_real_nat ) > real ).

tff(func_def_4763,type,
    sK3321: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_4764,type,
    sK3322: ( set_real * fun_real_rat ) > real ).

tff(func_def_4765,type,
    sK3323: ( set_real * fun_real_real ) > real ).

tff(func_def_4766,type,
    sK3324: ( set_real * fun_real_nat ) > real ).

tff(func_def_4767,type,
    sK3325: ( set_int * fun_int_rat ) > int ).

tff(func_def_4768,type,
    sK3326: ( set_int * fun_int_real ) > int ).

tff(func_def_4769,type,
    sK3327: ( set_int * fun_int_Code_integer * fun_int_Code_integer ) > int ).

tff(func_def_4770,type,
    sK3328: ( set_int * fun_int_nat * fun_int_nat ) > int ).

tff(func_def_4771,type,
    sK3329: ( set_int * fun_int_complex * fun_int_complex ) > int ).

tff(func_def_4772,type,
    sK3330: ( set_int * set_int * fun_int_complex ) > int ).

tff(func_def_4773,type,
    sK3331: ( set_int * fun_int_complex * fun_int_complex ) > int ).

tff(func_def_4774,type,
    sK3332: ( set_int * set_int * fun_int_complex ) > int ).

tff(func_def_4775,type,
    sK3333: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_4776,type,
    sK3334: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_4777,type,
    sK3335: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_4778,type,
    sK3336: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_4779,type,
    sK3337: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_4780,type,
    sK3338: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_4781,type,
    sK3339: ( set_int * fun_int_rat * fun_int_rat ) > int ).

tff(func_def_4782,type,
    sK3340: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_4783,type,
    sK3341: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_4784,type,
    sK3342: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_4785,type,
    sK3343: ( set_int * fun_int_real * fun_int_real ) > int ).

tff(func_def_4786,type,
    sK3344: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_4787,type,
    sK3345: ( set_int * fun_int_rat ) > int ).

tff(func_def_4788,type,
    sK3346: ( set_int * fun_int_real ) > int ).

tff(func_def_4789,type,
    sK3347: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_4790,type,
    sK3348: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_4791,type,
    sK3349: ( set_bool * fun_bool_nat ) > bool ).

tff(func_def_4792,type,
    sK3350: ( set_bool * fun_bo7282069421189217543nteger * fun_bo7282069421189217543nteger ) > bool ).

tff(func_def_4793,type,
    sK3351: ( set_bool * fun_bool_int * fun_bool_int ) > bool ).

tff(func_def_4794,type,
    sK3352: ( set_bool * fun_bool_nat * fun_bool_nat ) > bool ).

tff(func_def_4795,type,
    sK3353: ( set_bool * fun_bool_complex * fun_bool_complex ) > bool ).

tff(func_def_4796,type,
    sK3354: ( set_bool * set_bool * fun_bool_complex ) > bool ).

tff(func_def_4797,type,
    sK3355: ( set_bool * fun_bool_complex * fun_bool_complex ) > bool ).

tff(func_def_4798,type,
    sK3356: ( set_bool * set_bool * fun_bool_complex ) > bool ).

tff(func_def_4799,type,
    sK3357: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4800,type,
    sK3358: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_4801,type,
    sK3359: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4802,type,
    sK3360: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_4803,type,
    sK3361: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_4804,type,
    sK3362: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_4805,type,
    sK3363: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_4806,type,
    sK3364: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_4807,type,
    sK3365: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4808,type,
    sK3366: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_4809,type,
    sK3367: ( set_bool * fun_bool_rat * fun_bool_rat ) > bool ).

tff(func_def_4810,type,
    sK3368: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_4811,type,
    sK3369: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_4812,type,
    sK3370: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_4813,type,
    sK3371: ( set_bool * fun_bool_real * fun_bool_real ) > bool ).

tff(func_def_4814,type,
    sK3372: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_4815,type,
    sK3373: ( set_bool * fun_bool_nat * fun_bool_nat ) > bool ).

tff(func_def_4816,type,
    sK3374: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_4817,type,
    sK3375: ( set_bool * fun_bool_nat * fun_bool_nat ) > bool ).

tff(func_def_4818,type,
    sK3376: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_4819,type,
    sK3377: ( set_bool * fun_bool_rat ) > bool ).

tff(func_def_4820,type,
    sK3378: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_4821,type,
    sK3379: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_4822,type,
    sK3380: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_4823,type,
    sK3381: ( set_complex * fun_complex_int * fun_complex_int ) > complex ).

tff(func_def_4824,type,
    sK3382: ( set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_4825,type,
    sK3383: ( set_complex * fun_complex_complex * fun_complex_complex ) > complex ).

tff(func_def_4826,type,
    sK3384: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_4827,type,
    sK3385: ( set_complex * fun_complex_complex * fun_complex_complex ) > complex ).

tff(func_def_4828,type,
    sK3386: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_4829,type,
    sK3387: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4830,type,
    sK3388: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_4831,type,
    sK3389: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4832,type,
    sK3390: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_4833,type,
    sK3391: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_4834,type,
    sK3392: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_4835,type,
    sK3393: ( set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_4836,type,
    sK3394: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_4837,type,
    sK3395: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4838,type,
    sK3396: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_4839,type,
    sK3397: ( set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4840,type,
    sK3398: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_4841,type,
    sK3399: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_4842,type,
    sK3400: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_4843,type,
    sK3401: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_4844,type,
    sK3402: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_4845,type,
    sK3403: ( fun_nat_bool * nat ) > nat ).

tff(func_def_4846,type,
    sK3404: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_4847,type,
    sK3405: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_4848,type,
    sK3406: ( real * set_real * real * set_real ) > set_real ).

tff(func_def_4849,type,
    sK3407: ( int * set_int * int * set_int ) > set_int ).

tff(func_def_4850,type,
    sK3408: ( bool * set_bool * bool * set_bool ) > set_bool ).

tff(func_def_4851,type,
    sK3409: ( complex * set_complex * complex * set_complex ) > set_complex ).

tff(func_def_4852,type,
    sK3410: ( nat * set_nat * nat * set_nat ) > set_nat ).

tff(func_def_4853,type,
    sK3411: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_4854,type,
    sK3412: fun_na6724076748692969250l_real > nat ).

tff(func_def_4855,type,
    sK3413: fun_na6724076748692969250l_real > real ).

tff(func_def_4856,type,
    sK3414: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_4857,type,
    sK3415: fun_na6724076748692969250l_real > nat ).

tff(func_def_4858,type,
    sK3416: fun_na6724076748692969250l_real > real ).

tff(func_def_4859,type,
    sK3417: ( fun_na6724076748692969250l_real * real * nat ) > nat ).

tff(func_def_4860,type,
    sK3418: ( fun_na6724076748692969250l_real * real * nat ) > real ).

tff(func_def_4861,type,
    sK3419: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_4862,type,
    sK3420: fun_real_num > real ).

tff(func_def_4863,type,
    sK3421: fun_real_num > real ).

tff(func_def_4864,type,
    sK3422: fun_rat_real > rat ).

tff(func_def_4865,type,
    sK3423: fun_rat_real > rat ).

tff(func_def_4866,type,
    sK3424: fun_rat_num > rat ).

tff(func_def_4867,type,
    sK3425: fun_rat_num > rat ).

tff(func_def_4868,type,
    sK3426: fun_rat_nat > rat ).

tff(func_def_4869,type,
    sK3427: fun_rat_nat > rat ).

tff(func_def_4870,type,
    sK3428: fun_rat_num > rat ).

tff(func_def_4871,type,
    sK3429: fun_rat_num > rat ).

tff(func_def_4872,type,
    sK3430: fun_rat_nat > rat ).

tff(func_def_4873,type,
    sK3431: fun_rat_nat > rat ).

tff(func_def_4874,type,
    sK3432: fun_real_nat > real ).

tff(func_def_4875,type,
    sK3433: fun_real_nat > real ).

tff(func_def_4876,type,
    sK3434: fun_nat_num > nat ).

tff(func_def_4877,type,
    sK3435: fun_nat_num > nat ).

tff(func_def_4878,type,
    sK3436: fun_real_rat > real ).

tff(func_def_4879,type,
    sK3437: fun_real_rat > real ).

tff(func_def_4880,type,
    sK3438: fun_rat_int > rat ).

tff(func_def_4881,type,
    sK3439: fun_rat_int > rat ).

tff(func_def_4882,type,
    sK3440: fun_rat_int > rat ).

tff(func_def_4883,type,
    sK3441: fun_rat_int > rat ).

tff(func_def_4884,type,
    sK3442: fun_real_int > real ).

tff(func_def_4885,type,
    sK3443: fun_real_int > real ).

tff(func_def_4886,type,
    sK3444: fun_num_rat > num ).

tff(func_def_4887,type,
    sK3445: fun_num_rat > num ).

tff(func_def_4888,type,
    sK3446: fun_nat_rat > nat ).

tff(func_def_4889,type,
    sK3447: fun_nat_rat > nat ).

tff(func_def_4890,type,
    sK3448: fun_num_int > num ).

tff(func_def_4891,type,
    sK3449: fun_num_int > num ).

tff(func_def_4892,type,
    sK3450: fun_rat_rat > rat ).

tff(func_def_4893,type,
    sK3451: fun_rat_rat > rat ).

tff(func_def_4894,type,
    sK3452: fun_rat_rat > rat ).

tff(func_def_4895,type,
    sK3453: fun_rat_rat > rat ).

tff(func_def_4896,type,
    sK3454: fun_num_nat > num ).

tff(func_def_4897,type,
    sK3455: fun_num_nat > num ).

tff(func_def_4898,type,
    sK3456: fun_real_real > real ).

tff(func_def_4899,type,
    sK3457: fun_real_real > real ).

tff(func_def_4900,type,
    sK3458: fun_num_num > num ).

tff(func_def_4901,type,
    sK3459: fun_num_num > num ).

tff(func_def_4902,type,
    sK3460: ( set_real * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_4903,type,
    sK3461: ( set_int * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_4904,type,
    sK3462: ( set_bool * fun_bool_bool * fun_bool_bool ) > bool ).

tff(func_def_4905,type,
    sK3463: ( set_complex * fun_complex_bool * fun_complex_bool ) > complex ).

tff(func_def_4906,type,
    sK3464: ( set_nat * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_4907,type,
    sK3465: ( option_num * fun_num_fun_num_num * option_num * option_num ) > num ).

tff(func_def_4908,type,
    sK3466: ( option_num * fun_num_fun_num_num * option_num * option_num ) > num ).

tff(func_def_4909,type,
    sK3467: option_num > num ).

tff(func_def_4910,type,
    sK3468: ( option4927543243414619207at_nat * fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > product_prod_nat_nat ).

tff(func_def_4911,type,
    sK3469: ( option4927543243414619207at_nat * fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > product_prod_nat_nat ).

tff(func_def_4912,type,
    sK3470: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_4913,type,
    sK3471: fun_co1378794544173401837x_bool > complex ).

tff(func_def_4914,type,
    sK3472: fun_co1378794544173401837x_bool > complex ).

tff(func_def_4915,type,
    sK3473: fun_co1378794544173401837x_bool > complex ).

tff(func_def_4916,type,
    sK3474: fun_co1378794544173401837x_bool > complex ).

tff(func_def_4917,type,
    sK3475: ( fun_co1378794544173401837x_bool * set_complex * fun_complex_complex * fun_complex_complex ) > complex ).

tff(func_def_4918,type,
    sK3476: fun_int_fun_int_bool > int ).

tff(func_def_4919,type,
    sK3477: fun_int_fun_int_bool > int ).

tff(func_def_4920,type,
    sK3478: fun_int_fun_int_bool > int ).

tff(func_def_4921,type,
    sK3479: fun_int_fun_int_bool > int ).

tff(func_def_4922,type,
    sK3480: ( fun_int_fun_int_bool * set_int * fun_int_int * fun_int_int ) > int ).

tff(func_def_4923,type,
    sK3481: fun_int_fun_int_bool > int ).

tff(func_def_4924,type,
    sK3482: fun_int_fun_int_bool > int ).

tff(func_def_4925,type,
    sK3483: fun_int_fun_int_bool > int ).

tff(func_def_4926,type,
    sK3484: fun_int_fun_int_bool > int ).

tff(func_def_4927,type,
    sK3485: ( fun_int_fun_int_bool * set_complex * fun_complex_int * fun_complex_int ) > complex ).

tff(func_def_4928,type,
    sK3486: fun_int_fun_int_bool > int ).

tff(func_def_4929,type,
    sK3487: fun_int_fun_int_bool > int ).

tff(func_def_4930,type,
    sK3488: fun_int_fun_int_bool > int ).

tff(func_def_4931,type,
    sK3489: fun_int_fun_int_bool > int ).

tff(func_def_4932,type,
    sK3490: ( fun_int_fun_int_bool * set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_4933,type,
    sK3491: fun_rat_fun_rat_bool > rat ).

tff(func_def_4934,type,
    sK3492: fun_rat_fun_rat_bool > rat ).

tff(func_def_4935,type,
    sK3493: fun_rat_fun_rat_bool > rat ).

tff(func_def_4936,type,
    sK3494: fun_rat_fun_rat_bool > rat ).

tff(func_def_4937,type,
    sK3495: ( fun_rat_fun_rat_bool * set_complex * fun_complex_rat * fun_complex_rat ) > complex ).

tff(func_def_4938,type,
    sK3496: fun_rat_fun_rat_bool > rat ).

tff(func_def_4939,type,
    sK3497: fun_rat_fun_rat_bool > rat ).

tff(func_def_4940,type,
    sK3498: fun_rat_fun_rat_bool > rat ).

tff(func_def_4941,type,
    sK3499: fun_rat_fun_rat_bool > rat ).

tff(func_def_4942,type,
    sK3500: ( fun_rat_fun_rat_bool * set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_4943,type,
    sK3501: ( fun_na6724076748692969250l_real * real * nat ) > nat ).

tff(func_def_4944,type,
    sK3502: ( fun_na6724076748692969250l_real * real * nat ) > real ).

tff(func_def_4945,type,
    sK3503: ( real * fun_na6724076748692969250l_real * fun_real_real * nat ) > real ).

tff(func_def_4946,type,
    sK3504: ( fun_na6724076748692969250l_real * real * nat ) > nat ).

tff(func_def_4947,type,
    sK3505: ( fun_na6724076748692969250l_real * real * nat ) > real ).

tff(func_def_4948,type,
    sK3506: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_4949,type,
    sK3507: ( real * fun_real_real * fun_nat_real * nat ) > real ).

tff(func_def_4950,type,
    sK3508: ( real * fun_nat_complex * real ) > nat ).

tff(func_def_4951,type,
    sK3509: fun_re1255401033344146673l_bool > real ).

tff(func_def_4952,type,
    sK3510: fun_re1255401033344146673l_bool > real ).

tff(func_def_4953,type,
    sK3511: fun_re1255401033344146673l_bool > real ).

tff(func_def_4954,type,
    sK3512: fun_re1255401033344146673l_bool > real ).

tff(func_def_4955,type,
    sK3513: ( fun_re1255401033344146673l_bool * set_complex * fun_complex_real * fun_complex_real ) > complex ).

tff(func_def_4956,type,
    sK3514: fun_re1255401033344146673l_bool > real ).

tff(func_def_4957,type,
    sK3515: fun_re1255401033344146673l_bool > real ).

tff(func_def_4958,type,
    sK3516: fun_re1255401033344146673l_bool > real ).

tff(func_def_4959,type,
    sK3517: fun_re1255401033344146673l_bool > real ).

tff(func_def_4960,type,
    sK3518: ( fun_re1255401033344146673l_bool * set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_4961,type,
    sK3519: ( fun_na6724076748692969250l_real * real * nat ) > nat ).

tff(func_def_4962,type,
    sK3520: ( fun_na6724076748692969250l_real * real * nat ) > real ).

tff(func_def_4963,type,
    sK3521: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_4964,type,
    sK3522: fun_nat_fun_nat_bool > nat ).

tff(func_def_4965,type,
    sK3523: fun_nat_fun_nat_bool > nat ).

tff(func_def_4966,type,
    sK3524: fun_nat_fun_nat_bool > nat ).

tff(func_def_4967,type,
    sK3525: fun_nat_fun_nat_bool > nat ).

tff(func_def_4968,type,
    sK3526: ( fun_nat_fun_nat_bool * set_complex * fun_complex_nat * fun_complex_nat ) > complex ).

tff(func_def_4969,type,
    sK3527: fun_nat_fun_nat_bool > nat ).

tff(func_def_4970,type,
    sK3528: fun_nat_fun_nat_bool > nat ).

tff(func_def_4971,type,
    sK3529: fun_nat_fun_nat_bool > nat ).

tff(func_def_4972,type,
    sK3530: fun_nat_fun_nat_bool > nat ).

tff(func_def_4973,type,
    sK3531: ( fun_nat_fun_nat_bool * set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_4974,type,
    sK3532: ( set_Pr1261947904930325089at_nat * fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_4975,type,
    sK3533: fun_num_rat > num ).

tff(func_def_4976,type,
    sK3534: fun_num_rat > num ).

tff(func_def_4977,type,
    sK3535: fun_num_real > num ).

tff(func_def_4978,type,
    sK3536: fun_num_real > num ).

tff(func_def_4979,type,
    sK3537: fun_num_rat > num ).

tff(func_def_4980,type,
    sK3538: fun_num_rat > num ).

tff(func_def_4981,type,
    sK3539: fun_num_int > num ).

tff(func_def_4982,type,
    sK3540: fun_num_int > num ).

tff(func_def_4983,type,
    sK3541: fun_num_nat > num ).

tff(func_def_4984,type,
    sK3542: fun_num_nat > num ).

tff(func_def_4985,type,
    sK3543: fun_num_num > num ).

tff(func_def_4986,type,
    sK3544: fun_num_num > num ).

tff(func_def_4987,type,
    sK3545: fun_num_num > num ).

tff(func_def_4988,type,
    sK3546: fun_num_num > num ).

tff(func_def_4989,type,
    sK3547: fun_num_num > num ).

tff(func_def_4990,type,
    sK3548: fun_num_num > num ).

tff(func_def_4991,type,
    sK3549: fun_num_int > num ).

tff(func_def_4992,type,
    sK3550: fun_num_int > num ).

tff(func_def_4993,type,
    sK3551: fun_num_int > num ).

tff(func_def_4994,type,
    sK3552: fun_num_int > num ).

tff(func_def_4995,type,
    sK3553: fun_num_rat > num ).

tff(func_def_4996,type,
    sK3554: fun_num_rat > num ).

tff(func_def_4997,type,
    sK3555: fun_num_rat > num ).

tff(func_def_4998,type,
    sK3556: fun_num_rat > num ).

tff(func_def_4999,type,
    sK3557: fun_num_real > num ).

tff(func_def_5000,type,
    sK3558: fun_num_real > num ).

tff(func_def_5001,type,
    sK3559: fun_num_nat > num ).

tff(func_def_5002,type,
    sK3560: fun_num_nat > num ).

tff(func_def_5003,type,
    sK3561: fun_num_nat > num ).

tff(func_def_5004,type,
    sK3562: fun_num_nat > num ).

tff(func_def_5005,type,
    sK3563: fun_int_rat > int ).

tff(func_def_5006,type,
    sK3564: fun_int_rat > int ).

tff(func_def_5007,type,
    sK3565: fun_int_real > int ).

tff(func_def_5008,type,
    sK3566: fun_int_real > int ).

tff(func_def_5009,type,
    sK3567: fun_rat_real > rat ).

tff(func_def_5010,type,
    sK3568: fun_rat_real > rat ).

tff(func_def_5011,type,
    sK3569: fun_rat_num > rat ).

tff(func_def_5012,type,
    sK3570: fun_rat_num > rat ).

tff(func_def_5013,type,
    sK3571: fun_rat_nat > rat ).

tff(func_def_5014,type,
    sK3572: fun_rat_nat > rat ).

tff(func_def_5015,type,
    sK3573: fun_rat_int > rat ).

tff(func_def_5016,type,
    sK3574: fun_rat_int > rat ).

tff(func_def_5017,type,
    sK3575: fun_rat_rat > rat ).

tff(func_def_5018,type,
    sK3576: fun_rat_rat > rat ).

tff(func_def_5019,type,
    sK3577: fun_rat_num > rat ).

tff(func_def_5020,type,
    sK3578: fun_rat_num > rat ).

tff(func_def_5021,type,
    sK3579: fun_rat_int > rat ).

tff(func_def_5022,type,
    sK3580: fun_rat_int > rat ).

tff(func_def_5023,type,
    sK3581: fun_rat_rat > rat ).

tff(func_def_5024,type,
    sK3582: fun_rat_rat > rat ).

tff(func_def_5025,type,
    sK3583: fun_rat_rat > rat ).

tff(func_def_5026,type,
    sK3584: fun_rat_rat > rat ).

tff(func_def_5027,type,
    sK3585: fun_rat_real > rat ).

tff(func_def_5028,type,
    sK3586: fun_rat_real > rat ).

tff(func_def_5029,type,
    sK3587: fun_rat_real > rat ).

tff(func_def_5030,type,
    sK3588: fun_rat_real > rat ).

tff(func_def_5031,type,
    sK3589: fun_rat_nat > rat ).

tff(func_def_5032,type,
    sK3590: fun_rat_nat > rat ).

tff(func_def_5033,type,
    sK3591: fun_rat_num > rat ).

tff(func_def_5034,type,
    sK3592: fun_rat_num > rat ).

tff(func_def_5035,type,
    sK3593: fun_rat_nat > rat ).

tff(func_def_5036,type,
    sK3594: fun_rat_nat > rat ).

tff(func_def_5037,type,
    sK3595: fun_rat_int > rat ).

tff(func_def_5038,type,
    sK3596: fun_rat_int > rat ).

tff(func_def_5039,type,
    sK3597: fun_rat_rat > rat ).

tff(func_def_5040,type,
    sK3598: fun_rat_rat > rat ).

tff(func_def_5041,type,
    sK3599: fun_rat_num > rat ).

tff(func_def_5042,type,
    sK3600: fun_rat_num > rat ).

tff(func_def_5043,type,
    sK3601: fun_rat_num > rat ).

tff(func_def_5044,type,
    sK3602: fun_rat_num > rat ).

tff(func_def_5045,type,
    sK3603: fun_rat_int > rat ).

tff(func_def_5046,type,
    sK3604: fun_rat_int > rat ).

tff(func_def_5047,type,
    sK3605: fun_rat_int > rat ).

tff(func_def_5048,type,
    sK3606: fun_rat_int > rat ).

tff(func_def_5049,type,
    sK3607: fun_rat_rat > rat ).

tff(func_def_5050,type,
    sK3608: fun_rat_rat > rat ).

tff(func_def_5051,type,
    sK3609: fun_rat_rat > rat ).

tff(func_def_5052,type,
    sK3610: fun_rat_rat > rat ).

tff(func_def_5053,type,
    sK3611: fun_rat_real > rat ).

tff(func_def_5054,type,
    sK3612: fun_rat_real > rat ).

tff(func_def_5055,type,
    sK3613: fun_rat_nat > rat ).

tff(func_def_5056,type,
    sK3614: fun_rat_nat > rat ).

tff(func_def_5057,type,
    sK3615: fun_rat_nat > rat ).

tff(func_def_5058,type,
    sK3616: fun_rat_nat > rat ).

tff(func_def_5059,type,
    sK3617: fun_real_num > real ).

tff(func_def_5060,type,
    sK3618: fun_real_num > real ).

tff(func_def_5061,type,
    sK3619: fun_real_nat > real ).

tff(func_def_5062,type,
    sK3620: fun_real_nat > real ).

tff(func_def_5063,type,
    sK3621: fun_real_rat > real ).

tff(func_def_5064,type,
    sK3622: fun_real_rat > real ).

tff(func_def_5065,type,
    sK3623: fun_real_int > real ).

tff(func_def_5066,type,
    sK3624: fun_real_int > real ).

tff(func_def_5067,type,
    sK3625: fun_real_real > real ).

tff(func_def_5068,type,
    sK3626: fun_real_real > real ).

tff(func_def_5069,type,
    sK3627: fun_real_num > real ).

tff(func_def_5070,type,
    sK3628: fun_real_num > real ).

tff(func_def_5071,type,
    sK3629: fun_real_int > real ).

tff(func_def_5072,type,
    sK3630: fun_real_int > real ).

tff(func_def_5073,type,
    sK3631: fun_real_rat > real ).

tff(func_def_5074,type,
    sK3632: fun_real_rat > real ).

tff(func_def_5075,type,
    sK3633: fun_real_rat > real ).

tff(func_def_5076,type,
    sK3634: fun_real_rat > real ).

tff(func_def_5077,type,
    sK3635: fun_real_real > real ).

tff(func_def_5078,type,
    sK3636: fun_real_real > real ).

tff(func_def_5079,type,
    sK3637: fun_real_real > real ).

tff(func_def_5080,type,
    sK3638: fun_real_real > real ).

tff(func_def_5081,type,
    sK3639: fun_real_nat > real ).

tff(func_def_5082,type,
    sK3640: fun_real_nat > real ).

tff(func_def_5083,type,
    sK3641: ( nat * set_nat ) > nat ).

tff(func_def_5084,type,
    sK3642: fun_nat_rat > nat ).

tff(func_def_5085,type,
    sK3643: fun_nat_rat > nat ).

tff(func_def_5086,type,
    sK3644: fun_nat_real > nat ).

tff(func_def_5087,type,
    sK3645: fun_nat_real > nat ).

tff(func_def_5088,type,
    sK3646: fun_nat_num > nat ).

tff(func_def_5089,type,
    sK3647: fun_nat_num > nat ).

tff(func_def_5090,type,
    sK3648: fun_nat_rat > nat ).

tff(func_def_5091,type,
    sK3649: fun_nat_rat > nat ).

tff(func_def_5092,type,
    sK3650: fun_nat_num > nat ).

tff(func_def_5093,type,
    sK3651: fun_nat_num > nat ).

tff(func_def_5094,type,
    sK3652: fun_nat_rat > nat ).

tff(func_def_5095,type,
    sK3653: fun_nat_rat > nat ).

tff(func_def_5096,type,
    sK3654: ( fun_real_int * set_real * fun_real_int ) > real ).

tff(func_def_5097,type,
    sK3655: ( fun_int_nat * set_int * fun_int_nat ) > int ).

tff(func_def_5098,type,
    sK3656: ( fun_bool_nat * set_bool * fun_bool_nat ) > bool ).

tff(func_def_5099,type,
    sK3657: ( fun_int_rat * set_int * fun_int_rat ) > int ).

tff(func_def_5100,type,
    sK3658: ( fun_real_rat * set_real * fun_real_rat ) > real ).

tff(func_def_5101,type,
    sK3659: ( fun_real_nat * set_real * fun_real_nat ) > real ).

tff(func_def_5102,type,
    sK3660: ( fun_bool_rat * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5103,type,
    sK3661: ( fun_complex_nat * set_complex * fun_complex_nat ) > complex ).

tff(func_def_5104,type,
    sK3662: ( fun_complex_rat * set_complex * fun_complex_rat ) > complex ).

tff(func_def_5105,type,
    sK3663: ( fun_nat_rat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_5106,type,
    sK3664: ( option_nat * fun_nat_fun_nat_nat * option_nat * option_nat ) > nat ).

tff(func_def_5107,type,
    sK3665: ( option_nat * fun_nat_fun_nat_nat * option_nat * option_nat ) > nat ).

tff(func_def_5108,type,
    sK3666: option_nat > nat ).

tff(func_def_5109,type,
    sK3667: fun_rat_num > rat ).

tff(func_def_5110,type,
    sK3668: fun_rat_num > rat ).

tff(func_def_5111,type,
    sK3669: fun_num_num > num ).

tff(func_def_5112,type,
    sK3670: fun_num_num > num ).

tff(func_def_5113,type,
    sK3671: fun_int_num > int ).

tff(func_def_5114,type,
    sK3672: fun_int_num > int ).

tff(func_def_5115,type,
    sK3673: fun_rat_num > rat ).

tff(func_def_5116,type,
    sK3674: fun_rat_num > rat ).

tff(func_def_5117,type,
    sK3675: fun_nat_num > nat ).

tff(func_def_5118,type,
    sK3676: fun_nat_num > nat ).

tff(func_def_5119,type,
    sK3677: fun_num_num > num ).

tff(func_def_5120,type,
    sK3678: fun_num_num > num ).

tff(func_def_5121,type,
    sK3679: fun_rat_int > rat ).

tff(func_def_5122,type,
    sK3680: fun_rat_int > rat ).

tff(func_def_5123,type,
    sK3681: fun_num_int > num ).

tff(func_def_5124,type,
    sK3682: fun_num_int > num ).

tff(func_def_5125,type,
    sK3683: fun_real_rat > real ).

tff(func_def_5126,type,
    sK3684: fun_real_rat > real ).

tff(func_def_5127,type,
    sK3685: fun_int_rat > int ).

tff(func_def_5128,type,
    sK3686: fun_int_rat > int ).

tff(func_def_5129,type,
    sK3687: fun_num_rat > num ).

tff(func_def_5130,type,
    sK3688: fun_num_rat > num ).

tff(func_def_5131,type,
    sK3689: fun_num_rat > num ).

tff(func_def_5132,type,
    sK3690: fun_num_rat > num ).

tff(func_def_5133,type,
    sK3691: fun_nat_rat > nat ).

tff(func_def_5134,type,
    sK3692: fun_nat_rat > nat ).

tff(func_def_5135,type,
    sK3693: fun_rat_rat > rat ).

tff(func_def_5136,type,
    sK3694: fun_rat_rat > rat ).

tff(func_def_5137,type,
    sK3695: fun_rat_rat > rat ).

tff(func_def_5138,type,
    sK3696: fun_rat_rat > rat ).

tff(func_def_5139,type,
    sK3697: fun_real_rat > real ).

tff(func_def_5140,type,
    sK3698: fun_real_rat > real ).

tff(func_def_5141,type,
    sK3699: fun_int_rat > int ).

tff(func_def_5142,type,
    sK3700: fun_int_rat > int ).

tff(func_def_5143,type,
    sK3701: fun_int_rat > int ).

tff(func_def_5144,type,
    sK3702: fun_int_rat > int ).

tff(func_def_5145,type,
    sK3703: fun_num_rat > num ).

tff(func_def_5146,type,
    sK3704: fun_num_rat > num ).

tff(func_def_5147,type,
    sK3705: fun_num_rat > num ).

tff(func_def_5148,type,
    sK3706: fun_num_rat > num ).

tff(func_def_5149,type,
    sK3707: fun_nat_rat > nat ).

tff(func_def_5150,type,
    sK3708: fun_nat_rat > nat ).

tff(func_def_5151,type,
    sK3709: fun_nat_rat > nat ).

tff(func_def_5152,type,
    sK3710: fun_nat_rat > nat ).

tff(func_def_5153,type,
    sK3711: fun_rat_rat > rat ).

tff(func_def_5154,type,
    sK3712: fun_rat_rat > rat ).

tff(func_def_5155,type,
    sK3713: fun_rat_rat > rat ).

tff(func_def_5156,type,
    sK3714: fun_rat_rat > rat ).

tff(func_def_5157,type,
    sK3715: fun_rat_real > rat ).

tff(func_def_5158,type,
    sK3716: fun_rat_real > rat ).

tff(func_def_5159,type,
    sK3717: fun_rat_real > rat ).

tff(func_def_5160,type,
    sK3718: fun_rat_real > rat ).

tff(func_def_5161,type,
    sK3719: fun_int_real > int ).

tff(func_def_5162,type,
    sK3720: fun_int_real > int ).

tff(func_def_5163,type,
    sK3721: fun_num_real > num ).

tff(func_def_5164,type,
    sK3722: fun_num_real > num ).

tff(func_def_5165,type,
    sK3723: fun_num_real > num ).

tff(func_def_5166,type,
    sK3724: fun_num_real > num ).

tff(func_def_5167,type,
    sK3725: fun_nat_real > nat ).

tff(func_def_5168,type,
    sK3726: fun_nat_real > nat ).

tff(func_def_5169,type,
    sK3727: fun_real_real > real ).

tff(func_def_5170,type,
    sK3728: fun_real_real > real ).

tff(func_def_5171,type,
    sK3729: fun_rat_real > rat ).

tff(func_def_5172,type,
    sK3730: fun_rat_real > rat ).

tff(func_def_5173,type,
    sK3731: fun_int_real > int ).

tff(func_def_5174,type,
    sK3732: fun_int_real > int ).

tff(func_def_5175,type,
    sK3733: fun_num_real > num ).

tff(func_def_5176,type,
    sK3734: fun_num_real > num ).

tff(func_def_5177,type,
    sK3735: fun_nat_real > nat ).

tff(func_def_5178,type,
    sK3736: fun_nat_real > nat ).

tff(func_def_5179,type,
    sK3737: fun_real_real > real ).

tff(func_def_5180,type,
    sK3738: fun_real_real > real ).

tff(func_def_5181,type,
    sK3739: fun_rat_nat > rat ).

tff(func_def_5182,type,
    sK3740: fun_rat_nat > rat ).

tff(func_def_5183,type,
    sK3741: fun_num_nat > num ).

tff(func_def_5184,type,
    sK3742: fun_num_nat > num ).

tff(func_def_5185,type,
    sK3743: fun_rat_nat > rat ).

tff(func_def_5186,type,
    sK3744: fun_rat_nat > rat ).

tff(func_def_5187,type,
    sK3745: fun_num_nat > num ).

tff(func_def_5188,type,
    sK3746: fun_num_nat > num ).

tff(func_def_5189,type,
    sK3747: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_5190,type,
    sK3748: fun_na6724076748692969250l_real > nat ).

tff(func_def_5191,type,
    sK3749: fun_na6724076748692969250l_real > real ).

tff(func_def_5192,type,
    sK3750: ( fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_5193,type,
    sK3751: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_5194,type,
    sK3752: ( fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_5195,type,
    sK3753: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_5196,type,
    sK3754: ( nat * fun_nat_rat * rat ) > nat ).

tff(func_def_5197,type,
    sK3755: ( nat * fun_nat_real * real ) > nat ).

tff(func_def_5198,type,
    sK3756: ( nat * fun_nat_nat * nat ) > nat ).

tff(func_def_5199,type,
    sK3757: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_5200,type,
    sK3758: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_5201,type,
    sK3759: ( set_real * set_real * fun_real_complex ) > real ).

tff(func_def_5202,type,
    sK3760: ( set_real * set_real * fun_real_complex ) > real ).

tff(func_def_5203,type,
    sK3761: ( fun_real_complex * set_real * set_real ) > real ).

tff(func_def_5204,type,
    sK3762: ( set_real * set_real * fun_real_complex ) > real ).

tff(func_def_5205,type,
    sK3763: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5206,type,
    sK3764: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5207,type,
    sK3765: ( fun_real_rat * set_real * set_real ) > real ).

tff(func_def_5208,type,
    sK3766: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5209,type,
    sK3767: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5210,type,
    sK3768: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5211,type,
    sK3769: ( fun_real_real * set_real * set_real ) > real ).

tff(func_def_5212,type,
    sK3770: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5213,type,
    sK3771: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5214,type,
    sK3772: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5215,type,
    sK3773: ( fun_real_rat * set_real * set_real ) > real ).

tff(func_def_5216,type,
    sK3774: ( set_real * set_real * fun_real_rat ) > real ).

tff(func_def_5217,type,
    sK3775: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5218,type,
    sK3776: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5219,type,
    sK3777: ( fun_real_real * set_real * set_real ) > real ).

tff(func_def_5220,type,
    sK3778: ( set_real * set_real * fun_real_real ) > real ).

tff(func_def_5221,type,
    sK3779: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_5222,type,
    sK3780: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_5223,type,
    sK3781: ( fun_real_nat * set_real * set_real ) > real ).

tff(func_def_5224,type,
    sK3782: ( set_real * set_real * fun_real_nat ) > real ).

tff(func_def_5225,type,
    sK3783: ( set_int * set_int * fun_int_complex ) > int ).

tff(func_def_5226,type,
    sK3784: ( set_int * set_int * fun_int_complex ) > int ).

tff(func_def_5227,type,
    sK3785: ( fun_int_complex * set_int * set_int ) > int ).

tff(func_def_5228,type,
    sK3786: ( set_int * set_int * fun_int_complex ) > int ).

tff(func_def_5229,type,
    sK3787: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5230,type,
    sK3788: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5231,type,
    sK3789: ( fun_int_real * set_int * set_int ) > int ).

tff(func_def_5232,type,
    sK3790: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5233,type,
    sK3791: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_5234,type,
    sK3792: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_5235,type,
    sK3793: ( fun_int_rat * set_int * set_int ) > int ).

tff(func_def_5236,type,
    sK3794: ( set_int * set_int * fun_int_rat ) > int ).

tff(func_def_5237,type,
    sK3795: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5238,type,
    sK3796: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5239,type,
    sK3797: ( fun_int_real * set_int * set_int ) > int ).

tff(func_def_5240,type,
    sK3798: ( set_int * set_int * fun_int_real ) > int ).

tff(func_def_5241,type,
    sK3799: ( set_bool * set_bool * fun_bool_complex ) > bool ).

tff(func_def_5242,type,
    sK3800: ( set_bool * set_bool * fun_bool_complex ) > bool ).

tff(func_def_5243,type,
    sK3801: ( fun_bool_complex * set_bool * set_bool ) > bool ).

tff(func_def_5244,type,
    sK3802: ( set_bool * set_bool * fun_bool_complex ) > bool ).

tff(func_def_5245,type,
    sK3803: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5246,type,
    sK3804: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5247,type,
    sK3805: ( fun_bool_rat * set_bool * set_bool ) > bool ).

tff(func_def_5248,type,
    sK3806: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5249,type,
    sK3807: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5250,type,
    sK3808: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5251,type,
    sK3809: ( fun_bool_real * set_bool * set_bool ) > bool ).

tff(func_def_5252,type,
    sK3810: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5253,type,
    sK3811: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5254,type,
    sK3812: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5255,type,
    sK3813: ( fun_bool_rat * set_bool * set_bool ) > bool ).

tff(func_def_5256,type,
    sK3814: ( set_bool * set_bool * fun_bool_rat ) > bool ).

tff(func_def_5257,type,
    sK3815: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5258,type,
    sK3816: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5259,type,
    sK3817: ( fun_bool_real * set_bool * set_bool ) > bool ).

tff(func_def_5260,type,
    sK3818: ( set_bool * set_bool * fun_bool_real ) > bool ).

tff(func_def_5261,type,
    sK3819: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_5262,type,
    sK3820: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_5263,type,
    sK3821: ( fun_bool_nat * set_bool * set_bool ) > bool ).

tff(func_def_5264,type,
    sK3822: ( set_bool * set_bool * fun_bool_nat ) > bool ).

tff(func_def_5265,type,
    sK3823: ( set_complex * set_complex * fun_complex_int * fun_complex_complex * fun_complex_int ) > complex ).

tff(func_def_5266,type,
    sK3824: ( set_complex * fun_complex_int ) > complex ).

tff(func_def_5267,type,
    sK3825: ( set_complex * set_complex * fun_complex_rat * fun_complex_complex * fun_complex_rat ) > complex ).

tff(func_def_5268,type,
    sK3826: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_5269,type,
    sK3827: ( set_complex * set_complex * fun_complex_real * fun_complex_complex * fun_complex_real ) > complex ).

tff(func_def_5270,type,
    sK3828: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_5271,type,
    sK3829: ( set_complex * set_complex * fun_complex_nat * fun_complex_complex * fun_complex_nat ) > complex ).

tff(func_def_5272,type,
    sK3830: ( set_complex * fun_complex_nat ) > complex ).

tff(func_def_5273,type,
    sK3831: ( set_complex * set_nat * fun_nat_int * fun_nat_complex * fun_complex_int ) > complex ).

tff(func_def_5274,type,
    sK3832: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_5275,type,
    sK3833: ( set_complex * set_nat * fun_nat_rat * fun_nat_complex * fun_complex_rat ) > complex ).

tff(func_def_5276,type,
    sK3834: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_5277,type,
    sK3835: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_5278,type,
    sK3836: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_5279,type,
    sK3837: ( fun_complex_complex * set_complex * set_complex ) > complex ).

tff(func_def_5280,type,
    sK3838: ( set_complex * set_complex * fun_complex_complex ) > complex ).

tff(func_def_5281,type,
    sK3839: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5282,type,
    sK3840: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5283,type,
    sK3841: ( fun_complex_real * set_complex * set_complex ) > complex ).

tff(func_def_5284,type,
    sK3842: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5285,type,
    sK3843: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_5286,type,
    sK3844: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_5287,type,
    sK3845: ( fun_complex_rat * set_complex * set_complex ) > complex ).

tff(func_def_5288,type,
    sK3846: ( set_complex * set_complex * fun_complex_rat ) > complex ).

tff(func_def_5289,type,
    sK3847: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5290,type,
    sK3848: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5291,type,
    sK3849: ( fun_complex_real * set_complex * set_complex ) > complex ).

tff(func_def_5292,type,
    sK3850: ( set_complex * set_complex * fun_complex_real ) > complex ).

tff(func_def_5293,type,
    sK3851: ( set_nat * set_complex * fun_complex_int * fun_complex_nat * fun_nat_int ) > nat ).

tff(func_def_5294,type,
    sK3852: ( set_complex * fun_complex_int ) > complex ).

tff(func_def_5295,type,
    sK3853: ( set_nat * set_complex * fun_complex_rat * fun_complex_nat * fun_nat_rat ) > nat ).

tff(func_def_5296,type,
    sK3854: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_5297,type,
    sK3855: ( set_nat * set_nat * fun_nat_int * fun_nat_nat * fun_nat_int ) > nat ).

tff(func_def_5298,type,
    sK3856: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_5299,type,
    sK3857: ( set_nat * set_nat * fun_nat_rat * fun_nat_nat * fun_nat_rat ) > nat ).

tff(func_def_5300,type,
    sK3858: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_5301,type,
    sK3859: ( nat * nat * nat ) > nat ).

tff(func_def_5302,type,
    sK3860: ( nat * nat * nat ) > nat ).

tff(func_def_5303,type,
    sK3861: ( set_real * fun_re6978948838062957830nteger * code_integer * code_integer ) > real ).

tff(func_def_5304,type,
    sK3862: ( set_real * fun_re6978948838062957830nteger ) > real ).

tff(func_def_5305,type,
    sK3863: ( set_real * fun_real_real * real * real ) > real ).

tff(func_def_5306,type,
    sK3864: ( set_real * fun_real_real ) > real ).

tff(func_def_5307,type,
    sK3865: ( set_int * fun_int_Code_integer * code_integer * code_integer ) > int ).

tff(func_def_5308,type,
    sK3866: ( set_int * fun_int_Code_integer ) > int ).

tff(func_def_5309,type,
    sK3867: ( set_int * fun_int_real * real * real ) > int ).

tff(func_def_5310,type,
    sK3868: ( set_int * fun_int_real ) > int ).

tff(func_def_5311,type,
    sK3869: ( set_bool * fun_bo7282069421189217543nteger * code_integer * code_integer ) > bool ).

tff(func_def_5312,type,
    sK3870: ( set_bool * fun_bo7282069421189217543nteger ) > bool ).

tff(func_def_5313,type,
    sK3871: ( set_bool * fun_bool_real * real * real ) > bool ).

tff(func_def_5314,type,
    sK3872: ( set_bool * fun_bool_real ) > bool ).

tff(func_def_5315,type,
    sK3873: ( set_complex * fun_co8153928105989009288nteger * code_integer * code_integer ) > complex ).

tff(func_def_5316,type,
    sK3874: ( set_complex * fun_co8153928105989009288nteger ) > complex ).

tff(func_def_5317,type,
    sK3875: ( set_complex * fun_complex_rat * rat * rat ) > complex ).

tff(func_def_5318,type,
    sK3876: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_5319,type,
    sK3877: ( set_complex * fun_complex_real * real * real ) > complex ).

tff(func_def_5320,type,
    sK3878: ( set_complex * fun_complex_real ) > complex ).

tff(func_def_5321,type,
    sK3879: ( set_nat * fun_nat_Code_integer * code_integer * code_integer ) > nat ).

tff(func_def_5322,type,
    sK3880: ( set_nat * fun_nat_Code_integer ) > nat ).

tff(func_def_5323,type,
    sK3881: ( nat * fun_nat_complex ) > nat ).

tff(func_def_5324,type,
    sK3882: ( nat * fun_nat_complex ) > nat ).

tff(func_def_5325,type,
    sK3883: ( nat * fun_nat_int ) > nat ).

tff(func_def_5326,type,
    sK3884: ( nat * fun_nat_int ) > nat ).

tff(func_def_5327,type,
    sK3885: ( nat * fun_nat_rat ) > nat ).

tff(func_def_5328,type,
    sK3886: ( nat * fun_nat_rat ) > nat ).

tff(func_def_5329,type,
    sK3887: ( nat * fun_nat_real ) > nat ).

tff(func_def_5330,type,
    sK3888: ( nat * fun_nat_real ) > nat ).

tff(func_def_5331,type,
    sK3889: ( nat * fun_nat_nat ) > nat ).

tff(func_def_5332,type,
    sK3890: ( nat * fun_nat_nat ) > nat ).

tff(func_def_5333,type,
    sK3891: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_5334,type,
    sK3892: list_VEBT_VEBT > nat ).

tff(func_def_5335,type,
    sK3893: vEBT_VEBT > nat ).

tff(func_def_5336,type,
    sK3894: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5337,type,
    sK3895: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_5338,type,
    sK3896: list_VEBT_VEBT > nat ).

tff(func_def_5339,type,
    sK3897: vEBT_VEBT > nat ).

tff(func_def_5340,type,
    sK3898: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5341,type,
    sK3899: ( nat * real * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_5342,type,
    sK3900: ( nat * real * fun_na6724076748692969250l_real ) > real ).

tff(func_def_5343,type,
    sK3901: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5344,type,
    sK3902: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_5345,type,
    sK3903: list_VEBT_VEBT > nat ).

tff(func_def_5346,type,
    sK3904: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5347,type,
    sK3905: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5348,type,
    sK3906: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5349,type,
    sK3907: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5350,type,
    sK3908: ( fun_na6724076748692969250l_real * real * real * nat ) > nat ).

tff(func_def_5351,type,
    sK3909: ( fun_na6724076748692969250l_real * real * real * nat ) > real ).

tff(func_def_5352,type,
    sK3910: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_5353,type,
    sK3911: ( fun_na6724076748692969250l_real * real * real * nat ) > nat ).

tff(func_def_5354,type,
    sK3912: ( fun_na6724076748692969250l_real * real * real * nat ) > real ).

tff(func_def_5355,type,
    sK3913: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_5356,type,
    sK3914: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_5357,type,
    sK3915: ( fun_na6724076748692969250l_real * real * real * nat ) > nat ).

tff(func_def_5358,type,
    sK3916: ( fun_na6724076748692969250l_real * real * real * nat ) > real ).

tff(func_def_5359,type,
    sK3917: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_5360,type,
    sK3918: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_5361,type,
    sK3919: list_VEBT_VEBT > nat ).

tff(func_def_5362,type,
    sK3920: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5363,type,
    sK3921: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5364,type,
    sK3922: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_5365,type,
    sK3923: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_5366,type,
    sK3924: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5367,type,
    sK3925: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_5368,type,
    sK3926: list_VEBT_VEBT > nat ).

tff(func_def_5369,type,
    sK3927: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5370,type,
    sK3928: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_5371,type,
    sK3929: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_5372,type,
    sK3930: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_5373,type,
    sK3931: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5374,type,
    sK3932: real ).

tff(pred_def_1,type,
    bNF_Ca3869711322664823701n_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_2,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_3,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_4,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_5,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_6,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_7,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_8,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_9,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_10,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_11,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_12,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_13,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_14,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_real_bool ) > $o ).

tff(pred_def_15,type,
    bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).

tff(pred_def_16,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_17,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_18,type,
    extend8126323780198025762t_bool: ( fun_nat_bool * bool * extended_enat ) > $o ).

tff(pred_def_19,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_20,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_21,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_22,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_23,type,
    filter3212408913953519116et_nat: ( fun_nat_set_nat * filter_set_nat * filter_nat ) > $o ).

tff(pred_def_24,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_25,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_26,type,
    finite7866827932528546246t_bool: set_list_bool > $o ).

tff(pred_def_27,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_28,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_29,type,
    finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).

tff(pred_def_30,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_31,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_32,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_33,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

tff(pred_def_34,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_35,type,
    bij_be6293887246118711976st_nat: ( fun_nat_list_nat * set_nat * set_list_nat ) > $o ).

tff(pred_def_36,type,
    inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).

tff(pred_def_37,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_38,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

tff(pred_def_39,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_40,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_42,type,
    ord_le72135733267957522d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_43,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_44,type,
    ord_le3776645642988763374x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_45,type,
    ord_le2077783555311705303l_bool: ( fun_bool_bool * fun_bool_bool ) > $o ).

tff(pred_def_46,type,
    ord_le3716944864119727344t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_47,type,
    ord_le6841235830588351564t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_48,type,
    ord_le7519368973566061808l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_49,type,
    ord_le2932123472753598470d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_50,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_51,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_52,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_53,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_54,type,
    ord_le8085105155179020875at_num: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_55,type,
    ord_le880128212290418581um_num: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_56,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_57,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_58,type,
    ord_le4633831435867229666x_bool: ( fun_complex_bool * fun_complex_bool ) > $o ).

tff(pred_def_59,type,
    ord_le2902245940885495011l_bool: ( fun_bool_bool * fun_bool_bool ) > $o ).

tff(pred_def_60,type,
    ord_le5715760110363009508t_bool: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_61,type,
    ord_le4546832483993983377t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_62,type,
    ord_le8840051076831633728t_bool: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_63,type,
    ord_le4899916226251588169t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_64,type,
    ord_le8094096262961209215m_bool: ( fun_nat_fun_num_bool * fun_nat_fun_num_bool ) > $o ).

tff(pred_def_65,type,
    ord_le2278887450727035829m_bool: ( fun_num_fun_num_bool * fun_num_fun_num_bool ) > $o ).

tff(pred_def_66,type,
    ord_le5573776112191778788l_bool: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_67,type,
    ord_le1428200584844665933t_bool: ( fun_se1534075524646452397t_bool * fun_se1534075524646452397t_bool ) > $o ).

tff(pred_def_68,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_69,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_70,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_71,type,
    vanishes: fun_nat_rat > $o ).

tff(pred_def_72,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_73,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_74,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_75,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_77,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_78,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_79,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_80,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_81,type,
    topolo7278393974255667507et_nat: fun_nat_set_nat > $o ).

tff(pred_def_82,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_83,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_84,type,
    accp_P6183159247885693666d_enat: ( fun_Pr5442483421567724333t_bool * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_85,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_86,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_87,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_88,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_89,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_90,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_91,type,
    member9148766508732265716at_num: ( product_prod_nat_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_92,type,
    member7279096912039735102um_num: ( product_prod_num_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_93,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_94,type,
    member1730920086087385872l_bool: ( produc1429801123241496295l_bool * set_Pr4407170740510854343l_bool ) > $o ).

tff(pred_def_95,type,
    member3042533333095794346at_nat: ( produc8196147696116026881at_nat * set_Pr2764432955389651297at_nat ) > $o ).

tff(pred_def_96,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_97,type,
    pp: bool > $o ).

tff(pred_def_98,type,
    sP0: vEBT_VEBT > $o ).

tff(pred_def_99,type,
    sP1: real > $o ).

tff(pred_def_100,type,
    sP2: real > $o ).

tff(pred_def_101,type,
    sP3: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_102,type,
    sP4: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_103,type,
    sP5: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_104,type,
    sP6: ( option_nat * bool * bool ) > $o ).

tff(pred_def_105,type,
    sP7: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_106,type,
    sP8: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_107,type,
    sP9: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_108,type,
    sP10: ( option_nat * bool * bool ) > $o ).

tff(pred_def_109,type,
    sP11: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_110,type,
    sP12: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_111,type,
    sP13: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_112,type,
    sP14: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_113,type,
    sP15: fun_se8353504738346895699t_bool > $o ).

tff(pred_def_114,type,
    sP16: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_115,type,
    sP17: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_116,type,
    sP18: fun_se8074476271188067385t_bool > $o ).

tff(pred_def_117,type,
    sP19: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_118,type,
    sP20: fun_Pr248683899324676269t_bool > $o ).

tff(pred_def_119,type,
    sP21: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_120,type,
    sP22: ( set_Pr1261947904930325089at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_121,type,
    sP23: ( fun_set_real_bool * set_real ) > $o ).

tff(pred_def_122,type,
    sP24: fun_set_real_bool > $o ).

tff(pred_def_123,type,
    sP25: ( fun_set_real_bool * set_real ) > $o ).

tff(pred_def_124,type,
    sP26: fun_re1255401033344146673l_bool > $o ).

tff(pred_def_125,type,
    sP27: ( fun_real_rat * set_real ) > $o ).

tff(pred_def_126,type,
    sP28: ( fun_real_real * set_real ) > $o ).

tff(pred_def_127,type,
    sP29: ( fun_real_nat * set_real ) > $o ).

tff(pred_def_128,type,
    sP30: ( fun_set_int_bool * set_int ) > $o ).

tff(pred_def_129,type,
    sP31: fun_set_int_bool > $o ).

tff(pred_def_130,type,
    sP32: ( fun_set_int_bool * set_int ) > $o ).

tff(pred_def_131,type,
    sP33: fun_int_fun_int_bool > $o ).

tff(pred_def_132,type,
    sP34: ( fun_int_rat * set_int ) > $o ).

tff(pred_def_133,type,
    sP35: ( fun_int_real * set_int ) > $o ).

tff(pred_def_134,type,
    sP36: ( fun_set_bool_bool * set_bool ) > $o ).

tff(pred_def_135,type,
    sP37: fun_set_bool_bool > $o ).

tff(pred_def_136,type,
    sP38: ( fun_set_bool_bool * set_bool ) > $o ).

tff(pred_def_137,type,
    sP39: fun_bo1841576699660343469l_bool > $o ).

tff(pred_def_138,type,
    sP40: ( fun_bool_rat * set_bool ) > $o ).

tff(pred_def_139,type,
    sP41: ( fun_bool_real * set_bool ) > $o ).

tff(pred_def_140,type,
    sP42: ( fun_set_complex_bool * set_complex ) > $o ).

tff(pred_def_141,type,
    sP43: fun_set_complex_bool > $o ).

tff(pred_def_142,type,
    sP44: ( fun_set_complex_bool * set_complex ) > $o ).

tff(pred_def_143,type,
    sP45: fun_co1378794544173401837x_bool > $o ).

tff(pred_def_144,type,
    sP46: ( fun_complex_rat * set_complex ) > $o ).

tff(pred_def_145,type,
    sP47: ( fun_complex_real * set_complex ) > $o ).

tff(pred_def_146,type,
    sP48: ( fun_complex_nat * set_complex ) > $o ).

tff(pred_def_147,type,
    sP49: ( set_complex * fun_complex_nat ) > $o ).

tff(pred_def_148,type,
    sP50: ( fun_set_nat_bool * set_nat ) > $o ).

tff(pred_def_149,type,
    sP51: fun_set_nat_bool > $o ).

tff(pred_def_150,type,
    sP52: ( fun_set_nat_bool * set_nat ) > $o ).

tff(pred_def_151,type,
    sP53: fun_nat_fun_nat_bool > $o ).

tff(pred_def_152,type,
    sP54: ( fun_nat_rat * set_nat ) > $o ).

tff(pred_def_153,type,
    sP55: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_154,type,
    sP56: ( set_nat * fun_nat_nat ) > $o ).

tff(pred_def_155,type,
    sP57: fun_int_bool > $o ).

tff(pred_def_156,type,
    sP58: fun_nat_bool > $o ).

tff(pred_def_157,type,
    sP59: ( nat * bool ) > $o ).

tff(pred_def_158,type,
    sP60: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_159,type,
    sP61: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_160,type,
    sP62: ( nat * bool ) > $o ).

tff(pred_def_161,type,
    sP63: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_162,type,
    sP64: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_163,type,
    sP65: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_164,type,
    sP66: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_165,type,
    sP67: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_166,type,
    sP68: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_167,type,
    sP69: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_168,type,
    sP70: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_169,type,
    sP71: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_170,type,
    sP72: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_171,type,
    sP73: ( nat * bool ) > $o ).

tff(pred_def_172,type,
    sP74: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_173,type,
    sP75: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_174,type,
    sP76: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_175,type,
    sP77: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_176,type,
    sP78: ( nat * bool ) > $o ).

tff(pred_def_177,type,
    sP79: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_178,type,
    sP80: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_179,type,
    sP81: ( nat * list_nat ) > $o ).

tff(pred_def_180,type,
    sP82: ( list_nat * nat ) > $o ).

tff(pred_def_181,type,
    sP83: fun_nat_bool > $o ).

tff(pred_def_182,type,
    sP84: ( nat * bool ) > $o ).

tff(pred_def_183,type,
    sP85: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_184,type,
    sP86: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_185,type,
    sP87: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_186,type,
    sP88: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_187,type,
    sP89: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_188,type,
    sP90: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_189,type,
    sP91: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_190,type,
    sP92: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_191,type,
    sP93: ( nat * bool ) > $o ).

tff(pred_def_192,type,
    sP94: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_193,type,
    sP95: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_194,type,
    sP96: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_195,type,
    sP97: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_196,type,
    sP98: ( nat * nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_197,type,
    sP99: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_198,type,
    sP100: ( nat * nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_199,type,
    sP101: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_200,type,
    sP102: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_201,type,
    sP103: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_202,type,
    sP104: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_203,type,
    sP105: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_204,type,
    sP106: ( option_num * option_num ) > $o ).

tff(pred_def_205,type,
    sP107: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > $o ).

tff(pred_def_206,type,
    sP108: ( option_nat * option_nat ) > $o ).

tff(pred_def_207,type,
    sP109: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_208,type,
    sP110: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_209,type,
    sP111: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_210,type,
    sP112: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_211,type,
    sP113: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_212,type,
    sP114: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_213,type,
    sP115: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_214,type,
    sP116: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_215,type,
    sP117: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_216,type,
    sP118: fun_se8353504738346895699t_bool > $o ).

tff(pred_def_217,type,
    sP119: fun_se8074476271188067385t_bool > $o ).

tff(pred_def_218,type,
    sP120: fun_set_real_bool > $o ).

tff(pred_def_219,type,
    sP121: fun_set_int_bool > $o ).

tff(pred_def_220,type,
    sP122: fun_set_bool_bool > $o ).

tff(pred_def_221,type,
    sP123: fun_set_complex_bool > $o ).

tff(pred_def_222,type,
    sP124: fun_set_nat_bool > $o ).

tff(pred_def_223,type,
    sP125: fun_Co8822979462182099027r_bool > $o ).

tff(pred_def_224,type,
    sP126: fun_int_bool > $o ).

tff(pred_def_225,type,
    sP127: fun_nat_bool > $o ).

tff(pred_def_226,type,
    sP128: ( list_bool * list_bool ) > $o ).

tff(pred_def_227,type,
    sP129: ( code_integer * code_integer ) > $o ).

tff(pred_def_228,type,
    sP130: ( int * int ) > $o ).

tff(pred_def_229,type,
    sP131: ( nat * nat ) > $o ).

tff(pred_def_230,type,
    sP132: ( set_bool * set_bool ) > $o ).

tff(pred_def_231,type,
    sP133: ( nat * code_integer ) > $o ).

tff(pred_def_232,type,
    sP134: ( nat * int ) > $o ).

tff(pred_def_233,type,
    sP135: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_234,type,
    sP136: ( list_VEBT_VEBT * nat * nat * nat ) > $o ).

tff(pred_def_235,type,
    sP137: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_236,type,
    sP138: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_237,type,
    sP139: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_238,type,
    sP140: ( list_VEBT_VEBT * nat * nat * nat ) > $o ).

tff(pred_def_239,type,
    sP141: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_240,type,
    sP142: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_241,type,
    sP143: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_242,type,
    sP144: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_243,type,
    sP145: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_244,type,
    sP146: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_245,type,
    sP147: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_246,type,
    sP148: ( bool * list_bool ) > $o ).

tff(pred_def_247,type,
    sP149: ( nat * nat ) > $o ).

tff(pred_def_248,type,
    sP150: ( nat * nat ) > $o ).

tff(pred_def_249,type,
    sP151: ( nat * nat ) > $o ).

tff(pred_def_250,type,
    sP152: ( int * nat ) > $o ).

tff(pred_def_251,type,
    sP153: ( int * nat ) > $o ).

tff(pred_def_252,type,
    sP154: ( rat * nat ) > $o ).

tff(pred_def_253,type,
    sP155: ( rat * nat ) > $o ).

tff(pred_def_254,type,
    sP156: ( real * nat ) > $o ).

tff(pred_def_255,type,
    sP157: ( real * real ) > $o ).

tff(pred_def_256,type,
    sP158: ( real * real ) > $o ).

tff(pred_def_257,type,
    sP159: ( real * real ) > $o ).

tff(pred_def_258,type,
    sP160: ( real * nat ) > $o ).

tff(pred_def_259,type,
    sP161: ( real * real ) > $o ).

tff(pred_def_260,type,
    sP162: ( real * real ) > $o ).

tff(pred_def_261,type,
    sP163: ( real * real ) > $o ).

tff(pred_def_262,type,
    sP164: ( real * real ) > $o ).

tff(pred_def_263,type,
    sP165: ( real * real ) > $o ).

tff(pred_def_264,type,
    sP166: ( real * real ) > $o ).

tff(pred_def_265,type,
    sP167: ( real * real ) > $o ).

tff(pred_def_266,type,
    sP168: ( real * real ) > $o ).

tff(pred_def_267,type,
    sP169: ( real * real ) > $o ).

tff(pred_def_268,type,
    sP170: ( real * real ) > $o ).

tff(pred_def_269,type,
    sP171: ( real * real ) > $o ).

tff(pred_def_270,type,
    sP172: ( int * int ) > $o ).

tff(pred_def_271,type,
    sP173: ( int * int ) > $o ).

tff(pred_def_272,type,
    sP174: ( rat * rat ) > $o ).

tff(pred_def_273,type,
    sP175: ( rat * rat ) > $o ).

tff(pred_def_274,type,
    sP176: ( rat * rat ) > $o ).

tff(pred_def_275,type,
    sP177: ( rat * rat ) > $o ).

tff(pred_def_276,type,
    sP178: ( rat * rat ) > $o ).

tff(pred_def_277,type,
    sP179: ( rat * rat ) > $o ).

tff(pred_def_278,type,
    sP180: ( int * int ) > $o ).

tff(pred_def_279,type,
    sP181: ( int * int ) > $o ).

tff(pred_def_280,type,
    sP182: ( int * int ) > $o ).

tff(pred_def_281,type,
    sP183: ( int * int ) > $o ).

tff(pred_def_282,type,
    sP184: ( int * int ) > $o ).

tff(pred_def_283,type,
    sP185: ( int * int ) > $o ).

tff(pred_def_284,type,
    sP186: ( int * int ) > $o ).

tff(pred_def_285,type,
    sP187: ( int * int ) > $o ).

tff(pred_def_286,type,
    sP188: ( rat * rat ) > $o ).

tff(pred_def_287,type,
    sP189: ( rat * rat ) > $o ).

tff(pred_def_288,type,
    sP190: ( rat * rat ) > $o ).

tff(pred_def_289,type,
    sP191: ( rat * rat ) > $o ).

tff(pred_def_290,type,
    sP192: ( rat * rat ) > $o ).

tff(pred_def_291,type,
    sP193: ( rat * rat ) > $o ).

tff(pred_def_292,type,
    sP194: ( rat * rat ) > $o ).

tff(pred_def_293,type,
    sP195: ( rat * rat ) > $o ).

tff(pred_def_294,type,
    sP196: ( int * num ) > $o ).

tff(pred_def_295,type,
    sP197: ( int * num ) > $o ).

tff(pred_def_296,type,
    sP198: ( rat * num ) > $o ).

tff(pred_def_297,type,
    sP199: ( rat * num ) > $o ).

tff(pred_def_298,type,
    sP200: ( real * num ) > $o ).

tff(pred_def_299,type,
    sP201: ( real * num ) > $o ).

tff(pred_def_300,type,
    sP202: ( fun_na2351039247863542899T_bool * nat ) > $o ).

tff(pred_def_301,type,
    sP203: ( fun_na9137082442855928016l_bool * nat ) > $o ).

tff(pred_def_302,type,
    sP204: ( fun_nat_fun_int_bool * nat ) > $o ).

tff(pred_def_303,type,
    sP205: ( fun_nat_fun_nat_bool * nat ) > $o ).

tff(pred_def_304,type,
    sP206: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_305,type,
    sP207: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_306,type,
    sP208: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_307,type,
    sP209: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_308,type,
    sP210: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_309,type,
    sP211: ( fun_se8353504738346895699t_bool * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_310,type,
    sP212: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_311,type,
    sP213: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_312,type,
    sP214: ( fun_set_real_bool * set_real ) > $o ).

tff(pred_def_313,type,
    sP215: ( fun_set_real_bool * set_real ) > $o ).

tff(pred_def_314,type,
    sP216: ( fun_set_int_bool * set_int ) > $o ).

tff(pred_def_315,type,
    sP217: ( fun_set_int_bool * set_int ) > $o ).

tff(pred_def_316,type,
    sP218: ( fun_set_bool_bool * set_bool ) > $o ).

tff(pred_def_317,type,
    sP219: ( fun_set_bool_bool * set_bool ) > $o ).

tff(pred_def_318,type,
    sP220: ( fun_set_complex_bool * set_complex ) > $o ).

tff(pred_def_319,type,
    sP221: ( fun_set_complex_bool * set_complex ) > $o ).

tff(pred_def_320,type,
    sP222: ( fun_set_nat_bool * set_nat ) > $o ).

tff(pred_def_321,type,
    sP223: ( fun_set_nat_bool * set_nat ) > $o ).

tff(pred_def_322,type,
    sP224: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_323,type,
    sP225: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_324,type,
    sP226: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_325,type,
    sP227: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_326,type,
    sP228: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_327,type,
    sP229: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_328,type,
    sP230: ( option_num * num * num ) > $o ).

tff(pred_def_329,type,
    sP231: ( option_num * num * num ) > $o ).

tff(pred_def_330,type,
    sP232: ( option_num * num * num ) > $o ).

tff(pred_def_331,type,
    sP233: ( option_num * num * num ) > $o ).

tff(pred_def_332,type,
    sP234: ( option_num * num * num ) > $o ).

tff(pred_def_333,type,
    sP235: ( option_num * num * num ) > $o ).

tff(pred_def_334,type,
    sP236: ( option_num * num * num ) > $o ).

tff(pred_def_335,type,
    sP237: ( option_num * num * num ) > $o ).

tff(pred_def_336,type,
    sP238: ( option_num * num * num ) > $o ).

tff(pred_def_337,type,
    sP239: ( option_num * num * num ) > $o ).

tff(pred_def_338,type,
    sP240: ( option_num * num * num ) > $o ).

tff(pred_def_339,type,
    sP241: ( option_num * num * num ) > $o ).

tff(pred_def_340,type,
    sP242: ( option_num * num * num ) > $o ).

tff(pred_def_341,type,
    sP243: ( option_num * num * num ) > $o ).

tff(pred_def_342,type,
    sP244: ( option_num * num * num ) > $o ).

tff(pred_def_343,type,
    sP245: ( option_num * num * num ) > $o ).

tff(pred_def_344,type,
    sP246: ( option_num * num * num ) > $o ).

tff(pred_def_345,type,
    sP247: ( option_num * num * num ) > $o ).

tff(pred_def_346,type,
    sP248: ( option_num * num * num ) > $o ).

tff(pred_def_347,type,
    sP249: ( option_num * num * num ) > $o ).

tff(pred_def_348,type,
    sP250: ( option_num * num * num ) > $o ).

tff(pred_def_349,type,
    sP251: ( option_num * num * num ) > $o ).

tff(pred_def_350,type,
    sP252: ( option_num * num * num ) > $o ).

tff(pred_def_351,type,
    sP253: ( option_num * num * num ) > $o ).

tff(pred_def_352,type,
    sP254: ( option_num * num * num ) > $o ).

tff(pred_def_353,type,
    sP255: ( option_num * num * num ) > $o ).

tff(pred_def_354,type,
    sP256: ( option_num * num * num ) > $o ).

tff(pred_def_355,type,
    sP257: ( option_num * num * num ) > $o ).

tff(pred_def_356,type,
    sP258: ( option_num * num * num ) > $o ).

tff(pred_def_357,type,
    sP259: ( option_num * num * num ) > $o ).

tff(pred_def_358,type,
    sP260: ( option_num * num * num ) > $o ).

tff(pred_def_359,type,
    sP261: ( option_num * num * num ) > $o ).

tff(pred_def_360,type,
    sP262: ( vEBT_VEBT * bool * bool * nat ) > $o ).

tff(pred_def_361,type,
    sP263: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_362,type,
    sP264: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_363,type,
    sP265: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_364,type,
    sP266: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_365,type,
    sP267: ( option_num * num * num ) > $o ).

tff(pred_def_366,type,
    sP268: ( option_num * num * num ) > $o ).

tff(pred_def_367,type,
    sP269: ( option_num * num * num ) > $o ).

tff(pred_def_368,type,
    sP270: ( option_num * num * num ) > $o ).

tff(pred_def_369,type,
    sP271: ( option_num * num * num ) > $o ).

tff(pred_def_370,type,
    sP272: ( option_num * num * num ) > $o ).

tff(pred_def_371,type,
    sP273: ( option_num * num * num ) > $o ).

tff(pred_def_372,type,
    sP274: ( option_num * num * num ) > $o ).

tff(pred_def_373,type,
    sP275: ( option_num * num * num ) > $o ).

tff(pred_def_374,type,
    sP276: ( option_num * num * num ) > $o ).

tff(pred_def_375,type,
    sP277: ( option_num * num * num ) > $o ).

tff(pred_def_376,type,
    sP278: ( option_num * num * num ) > $o ).

tff(pred_def_377,type,
    sP279: ( option_num * num * num ) > $o ).

tff(pred_def_378,type,
    sP280: ( option_num * num * num ) > $o ).

tff(pred_def_379,type,
    sP281: ( option_num * num * num ) > $o ).

tff(pred_def_380,type,
    sP282: ( option_num * num * num ) > $o ).

tff(pred_def_381,type,
    sP283: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_382,type,
    sP284: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_383,type,
    sP285: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_384,type,
    sP286: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_385,type,
    sP287: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_386,type,
    sP288: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_387,type,
    sP289: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_388,type,
    sP290: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_389,type,
    sP291: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_390,type,
    sP292: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_391,type,
    sP293: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_392,type,
    sP294: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_393,type,
    sP295: ( option_nat * bool * bool ) > $o ).

tff(pred_def_394,type,
    sP296: ( bool * bool * option_nat * nat ) > $o ).

tff(pred_def_395,type,
    sP297: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_396,type,
    sP298: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_397,type,
    sP299: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_398,type,
    sP300: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_399,type,
    sP301: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_400,type,
    sP302: ( nat * option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_401,type,
    sP303: ( option_nat * bool * bool ) > $o ).

tff(pred_def_402,type,
    sP304: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_403,type,
    sP305: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_404,type,
    sP306: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_405,type,
    sP307: ( option_nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_406,type,
    sP308: ( option_nat * vEBT_VEBT ) > $o ).

tff(pred_def_407,type,
    sP309: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_408,type,
    sP310: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_409,type,
    sP311: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_410,type,
    sP312: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_411,type,
    sP313: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_412,type,
    sP314: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_413,type,
    sP315: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_414,type,
    sP316: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_415,type,
    sP317: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_416,type,
    sP318: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_417,type,
    sP319: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_418,type,
    sP320: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_419,type,
    sP321: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_420,type,
    sP322: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_421,type,
    sP323: ( real * nat * real ) > $o ).

tff(pred_def_422,type,
    sP324: ( real * nat * real ) > $o ).

tff(pred_def_423,type,
    sP325: fun_nat_fun_nat_bool > $o ).

tff(pred_def_424,type,
    sP326: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_425,type,
    sP327: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_426,type,
    sP328: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_427,type,
    sP329: ( num * num * num ) > $o ).

tff(pred_def_428,type,
    sP330: ( num * num * num ) > $o ).

tff(pred_def_429,type,
    sP331: ( num * num * num ) > $o ).

tff(pred_def_430,type,
    sP332: ( num * num * num ) > $o ).

tff(pred_def_431,type,
    sP333: ( num * num * num ) > $o ).

tff(pred_def_432,type,
    sP334: ( num * num * num ) > $o ).

tff(pred_def_433,type,
    sP335: ( num * num * num ) > $o ).

tff(pred_def_434,type,
    sP336: ( num * num * num ) > $o ).

tff(pred_def_435,type,
    sP337: ( num * num * num ) > $o ).

tff(pred_def_436,type,
    sP338: ( num * num * num ) > $o ).

tff(pred_def_437,type,
    sP339: ( num * num * num ) > $o ).

tff(pred_def_438,type,
    sP340: ( num * num * num ) > $o ).

tff(pred_def_439,type,
    sP341: ( num * num * num ) > $o ).

tff(pred_def_440,type,
    sP342: ( num * num * num ) > $o ).

tff(pred_def_441,type,
    sP343: ( num * num * num ) > $o ).

tff(pred_def_442,type,
    sP344: ( num * num * num ) > $o ).

tff(pred_def_443,type,
    sP345: ( option_num * option_num * fun_op1962577433978643573m_bool ) > $o ).

tff(pred_def_444,type,
    sP346: ( option4927543243414619207at_nat * option_num * fun_op7732454363416259258t_bool ) > $o ).

tff(pred_def_445,type,
    sP347: ( option_nat * option_num * fun_op1064277265382982207t_bool ) > $o ).

tff(pred_def_446,type,
    sP348: ( option_num * option4927543243414619207at_nat * fun_op775672374849087042m_bool ) > $o ).

tff(pred_def_447,type,
    sP349: ( option4927543243414619207at_nat * option4927543243414619207at_nat * fun_op5682630191948829869t_bool ) > $o ).

tff(pred_def_448,type,
    sP350: ( option_nat * option4927543243414619207at_nat * fun_op9100744243108201484t_bool ) > $o ).

tff(pred_def_449,type,
    sP351: ( option_num * option_nat * fun_op8690601775248757823m_bool ) > $o ).

tff(pred_def_450,type,
    sP352: ( option4927543243414619207at_nat * option_nat * fun_op5698422665285572208t_bool ) > $o ).

tff(pred_def_451,type,
    sP353: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > $o ).

tff(pred_def_452,type,
    sP354: ( num * num * num ) > $o ).

tff(pred_def_453,type,
    sP355: ( num * num * num ) > $o ).

tff(pred_def_454,type,
    sP356: ( num * num * num ) > $o ).

tff(pred_def_455,type,
    sP357: ( num * num * num ) > $o ).

tff(pred_def_456,type,
    sP358: ( int * int * int ) > $o ).

tff(pred_def_457,type,
    sP359: ( int * int * int ) > $o ).

tff(pred_def_458,type,
    sP360: ( int * int * int ) > $o ).

tff(pred_def_459,type,
    sP361: ( int * int * int ) > $o ).

tff(pred_def_460,type,
    sP362: ( rat * rat * rat ) > $o ).

tff(pred_def_461,type,
    sP363: ( rat * rat * rat ) > $o ).

tff(pred_def_462,type,
    sP364: ( rat * rat * rat ) > $o ).

tff(pred_def_463,type,
    sP365: ( rat * rat * rat ) > $o ).

tff(pred_def_464,type,
    sP366: ( nat * nat * nat ) > $o ).

tff(pred_def_465,type,
    sP367: ( nat * nat * nat ) > $o ).

tff(pred_def_466,type,
    sP368: ( nat * nat * nat ) > $o ).

tff(pred_def_467,type,
    sP369: ( nat * nat * nat ) > $o ).

tff(pred_def_468,type,
    sP370: ( nat * bool ) > $o ).

tff(pred_def_469,type,
    sP371: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_470,type,
    sP372: ( list_VEBT_VEBT * nat * nat * bool ) > $o ).

tff(pred_def_471,type,
    sP373: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_472,type,
    sP374: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_473,type,
    sP375: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_474,type,
    sP376: ( nat * bool ) > $o ).

tff(pred_def_475,type,
    sP377: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_476,type,
    sP378: ( list_VEBT_VEBT * nat * nat * bool ) > $o ).

tff(pred_def_477,type,
    sP379: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_478,type,
    sP380: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_479,type,
    sP381: ( option4927543243414619207at_nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_480,type,
    sP382: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * option4927543243414619207at_nat * bool ) > $o ).

tff(pred_def_481,type,
    sP383: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_482,type,
    sP384: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_483,type,
    sP385: ( option4927543243414619207at_nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_484,type,
    sP386: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * option4927543243414619207at_nat * bool ) > $o ).

tff(pred_def_485,type,
    sP387: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_486,type,
    sP388: ( nat * nat * nat * bool ) > $o ).

tff(pred_def_487,type,
    sP389: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_488,type,
    sP390: ( nat * nat * nat * nat * list_VEBT_VEBT * bool ) > $o ).

tff(pred_def_489,type,
    sP391: ( list_VEBT_VEBT * nat * nat * bool ) > $o ).

tff(pred_def_490,type,
    sP392: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_491,type,
    sP393: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_492,type,
    sP394: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_493,type,
    sP395: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_494,type,
    sP396: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_495,type,
    sP397: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_496,type,
    sP398: ( nat * nat * nat * nat * list_VEBT_VEBT * bool ) > $o ).

tff(pred_def_497,type,
    sP399: ( list_VEBT_VEBT * nat * nat * bool ) > $o ).

tff(pred_def_498,type,
    sP400: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_499,type,
    sP401: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_500,type,
    sP402: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_501,type,
    sP403: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_502,type,
    sP404: ( nat * bool ) > $o ).

tff(pred_def_503,type,
    sP405: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_504,type,
    sP406: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_505,type,
    sP407: ( nat * nat * nat * nat * list_VEBT_VEBT * bool ) > $o ).

tff(pred_def_506,type,
    sP408: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_507,type,
    sP409: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_508,type,
    sP410: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_509,type,
    sP411: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_510,type,
    sP412: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_511,type,
    sP413: ( nat * bool ) > $o ).

tff(pred_def_512,type,
    sP414: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_513,type,
    sP415: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_514,type,
    sP416: ( nat * nat * nat * nat * list_VEBT_VEBT * bool ) > $o ).

tff(pred_def_515,type,
    sP417: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_516,type,
    sP418: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_517,type,
    sP419: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_518,type,
    sP420: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_519,type,
    sP421: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_520,type,
    sP422: ( code_integer * code_integer * nat ) > $o ).

tff(pred_def_521,type,
    sP423: ( nat * int * int ) > $o ).

tff(pred_def_522,type,
    sP424: ( int * int * nat ) > $o ).

tff(pred_def_523,type,
    sP425: ( nat * nat * nat ) > $o ).

tff(pred_def_524,type,
    sP426: ( nat * nat * nat ) > $o ).

tff(pred_def_525,type,
    sP427: ( nat * int * int ) > $o ).

tff(pred_def_526,type,
    sP428: ( nat * nat * nat ) > $o ).

tff(pred_def_527,type,
    sP429: ( fun_nat_bool * nat ) > $o ).

tff(pred_def_528,type,
    sP430: ( fun_nat_nat * nat ) > $o ).

tff(pred_def_529,type,
    sP431: ( product_prod_int_int * int * int ) > $o ).

tff(pred_def_530,type,
    sP432: ( product_prod_int_int * int * int ) > $o ).

tff(pred_def_531,type,
    sP433: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_532,type,
    sP434: ( num * complex * complex ) > $o ).

tff(pred_def_533,type,
    sP435: ( num * complex * complex ) > $o ).

tff(pred_def_534,type,
    sP436: ( set_bool * bool * set_bool ) > $o ).

tff(pred_def_535,type,
    sP437: ( set_bool * bool * set_bool ) > $o ).

tff(pred_def_536,type,
    sP438: ( set_bool * bool * set_bool ) > $o ).

tff(pred_def_537,type,
    sP439: ( set_bool * bool * set_bool ) > $o ).

tff(pred_def_538,type,
    sP440: ( bool * set_bool * bool ) > $o ).

tff(pred_def_539,type,
    sP441: ( bool * set_bool * bool ) > $o ).

tff(pred_def_540,type,
    sP442: ( set_int * int * set_int ) > $o ).

tff(pred_def_541,type,
    sP443: ( set_int * int * set_int ) > $o ).

tff(pred_def_542,type,
    sP444: ( set_int * int * set_int ) > $o ).

tff(pred_def_543,type,
    sP445: ( set_int * int * set_int ) > $o ).

tff(pred_def_544,type,
    sP446: ( bool * bool * bool ) > $o ).

tff(pred_def_545,type,
    sP447: ( complex * num * complex ) > $o ).

tff(pred_def_546,type,
    sP448: ( complex * num * complex ) > $o ).

tff(pred_def_547,type,
    sP449: ( bool * fun_bool_bool * bool ) > $o ).

tff(pred_def_548,type,
    sP450: ( set_bool * bool * bool ) > $o ).

tff(pred_def_549,type,
    sP451: ( bool * fun_bool_bool * bool ) > $o ).

tff(pred_def_550,type,
    sP452: ( bool * fun_bool_bool * bool ) > $o ).

tff(pred_def_551,type,
    sP453: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat ) > $o ).

tff(pred_def_552,type,
    sP454: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_553,type,
    sP455: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat ) > $o ).

tff(pred_def_554,type,
    sP456: ( set_real * set_real * real ) > $o ).

tff(pred_def_555,type,
    sP457: ( real * set_real * set_real ) > $o ).

tff(pred_def_556,type,
    sP458: ( set_real * set_real * real ) > $o ).

tff(pred_def_557,type,
    sP459: ( set_int * set_int * int ) > $o ).

tff(pred_def_558,type,
    sP460: ( int * set_int * set_int ) > $o ).

tff(pred_def_559,type,
    sP461: ( set_int * set_int * int ) > $o ).

tff(pred_def_560,type,
    sP462: ( set_bool * set_bool * bool ) > $o ).

tff(pred_def_561,type,
    sP463: ( bool * set_bool * set_bool ) > $o ).

tff(pred_def_562,type,
    sP464: ( set_bool * set_bool * bool ) > $o ).

tff(pred_def_563,type,
    sP465: ( set_bool * bool * bool ) > $o ).

tff(pred_def_564,type,
    sP466: ( set_complex * set_complex * complex ) > $o ).

tff(pred_def_565,type,
    sP467: ( complex * set_complex * set_complex ) > $o ).

tff(pred_def_566,type,
    sP468: ( set_complex * set_complex * complex ) > $o ).

tff(pred_def_567,type,
    sP469: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_568,type,
    sP470: ( nat * set_nat * set_nat ) > $o ).

tff(pred_def_569,type,
    sP471: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_570,type,
    sP472: ( nat * bool ) > $o ).

tff(pred_def_571,type,
    sP473: ( nat * bool ) > $o ).

tff(pred_def_572,type,
    sP474: ( nat * nat * set_nat ) > $o ).

tff(pred_def_573,type,
    sP475: ( nat * nat * set_nat ) > $o ).

tff(pred_def_574,type,
    sP476: ( num * real * real ) > $o ).

tff(pred_def_575,type,
    sP477: ( num * real * real ) > $o ).

tff(pred_def_576,type,
    sP478: ( real * num * real ) > $o ).

tff(pred_def_577,type,
    sP479: ( real * num * real ) > $o ).

tff(pred_def_578,type,
    sP480: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat * product_prod_nat_nat ) > $o ).

tff(pred_def_579,type,
    sP481: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_580,type,
    sP482: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat * product_prod_nat_nat ) > $o ).

tff(pred_def_581,type,
    sP483: ( nat * bool * bool ) > $o ).

tff(pred_def_582,type,
    sP484: ( fun_real_bool * real * nat ) > $o ).

tff(pred_def_583,type,
    sP485: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_584,type,
    sP486: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_585,type,
    sP487: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_586,type,
    sP488: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_587,type,
    sP489: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_588,type,
    sP490: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_589,type,
    sP491: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_590,type,
    sP492: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_591,type,
    sP493: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_592,type,
    sP494: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_593,type,
    sP495: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_594,type,
    sP496: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_595,type,
    sP497: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_596,type,
    sP498: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_597,type,
    sP499: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_598,type,
    sP500: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_599,type,
    sP501: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_600,type,
    sP502: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_601,type,
    sP503: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_602,type,
    sP504: ( num * rat * rat ) > $o ).

tff(pred_def_603,type,
    sP505: ( num * rat * rat ) > $o ).

tff(pred_def_604,type,
    sP506: ( num * complex * complex ) > $o ).

tff(pred_def_605,type,
    sP507: ( num * complex * complex ) > $o ).

tff(pred_def_606,type,
    sP508: ( complex * num * complex ) > $o ).

tff(pred_def_607,type,
    sP509: ( complex * num * complex ) > $o ).

tff(pred_def_608,type,
    sP510: ( rat * num * rat ) > $o ).

tff(pred_def_609,type,
    sP511: ( rat * num * rat ) > $o ).

tff(pred_def_610,type,
    sP512: ( real * real * real ) > $o ).

tff(pred_def_611,type,
    sP513: ( real * real * real ) > $o ).

tff(pred_def_612,type,
    sP514: ( real * real * real ) > $o ).

tff(pred_def_613,type,
    sP515: ( real * real * real ) > $o ).

tff(pred_def_614,type,
    sP516: ( num * real * real ) > $o ).

tff(pred_def_615,type,
    sP517: ( num * real * real ) > $o ).

tff(pred_def_616,type,
    sP518: ( real * num * real ) > $o ).

tff(pred_def_617,type,
    sP519: ( real * num * real ) > $o ).

tff(pred_def_618,type,
    sP520: ( fun_int_bool * nat * nat ) > $o ).

tff(pred_def_619,type,
    sP521: ( rat * rat * rat ) > $o ).

tff(pred_def_620,type,
    sP522: ( rat * rat * rat ) > $o ).

tff(pred_def_621,type,
    sP523: ( rat * rat * rat ) > $o ).

tff(pred_def_622,type,
    sP524: ( rat * rat * rat ) > $o ).

tff(pred_def_623,type,
    sP525: ( num * rat * rat ) > $o ).

tff(pred_def_624,type,
    sP526: ( num * rat * rat ) > $o ).

tff(pred_def_625,type,
    sP527: ( rat * num * rat ) > $o ).

tff(pred_def_626,type,
    sP528: ( rat * num * rat ) > $o ).

tff(pred_def_627,type,
    sP529: ( real * real * real ) > $o ).

tff(pred_def_628,type,
    sP530: ( real * real * real ) > $o ).

tff(pred_def_629,type,
    sP531: ( num * real * real ) > $o ).

tff(pred_def_630,type,
    sP532: ( real * real * num ) > $o ).

tff(pred_def_631,type,
    sP533: ( num * real * real ) > $o ).

tff(pred_def_632,type,
    sP534: ( real * real * num ) > $o ).

tff(pred_def_633,type,
    sP535: ( num * real * real ) > $o ).

tff(pred_def_634,type,
    sP536: ( real * real * num ) > $o ).

tff(pred_def_635,type,
    sP537: ( num * real * real ) > $o ).

tff(pred_def_636,type,
    sP538: ( real * real * num ) > $o ).

tff(pred_def_637,type,
    sP539: ( real * real * real ) > $o ).

tff(pred_def_638,type,
    sP540: ( real * real * real ) > $o ).

tff(pred_def_639,type,
    sP541: ( rat * rat * rat ) > $o ).

tff(pred_def_640,type,
    sP542: ( rat * rat * rat ) > $o ).

tff(pred_def_641,type,
    sP543: ( num * rat * rat ) > $o ).

tff(pred_def_642,type,
    sP544: ( rat * rat * num ) > $o ).

tff(pred_def_643,type,
    sP545: ( num * rat * rat ) > $o ).

tff(pred_def_644,type,
    sP546: ( rat * rat * num ) > $o ).

tff(pred_def_645,type,
    sP547: ( num * rat * rat ) > $o ).

tff(pred_def_646,type,
    sP548: ( rat * rat * num ) > $o ).

tff(pred_def_647,type,
    sP549: ( num * rat * rat ) > $o ).

tff(pred_def_648,type,
    sP550: ( rat * rat * num ) > $o ).

tff(pred_def_649,type,
    sP551: ( rat * rat * rat ) > $o ).

tff(pred_def_650,type,
    sP552: ( rat * rat * rat ) > $o ).

tff(pred_def_651,type,
    sP553: ( real * real * real ) > $o ).

tff(pred_def_652,type,
    sP554: ( real * real * real ) > $o ).

tff(pred_def_653,type,
    sP555: ( real * real * real ) > $o ).

tff(pred_def_654,type,
    sP556: ( real * real * real ) > $o ).

tff(pred_def_655,type,
    sP557: ( real * real * real ) > $o ).

tff(pred_def_656,type,
    sP558: ( num * real * real ) > $o ).

tff(pred_def_657,type,
    sP559: ( real * real * num ) > $o ).

tff(pred_def_658,type,
    sP560: ( num * real * real ) > $o ).

tff(pred_def_659,type,
    sP561: ( real * real * num ) > $o ).

tff(pred_def_660,type,
    sP562: ( num * real * real ) > $o ).

tff(pred_def_661,type,
    sP563: ( real * real * num ) > $o ).

tff(pred_def_662,type,
    sP564: ( num * real * real ) > $o ).

tff(pred_def_663,type,
    sP565: ( real * real * num ) > $o ).

tff(pred_def_664,type,
    sP566: ( num * rat * rat ) > $o ).

tff(pred_def_665,type,
    sP567: ( rat * rat * num ) > $o ).

tff(pred_def_666,type,
    sP568: ( num * rat * rat ) > $o ).

tff(pred_def_667,type,
    sP569: ( rat * rat * num ) > $o ).

tff(pred_def_668,type,
    sP570: ( num * rat * rat ) > $o ).

tff(pred_def_669,type,
    sP571: ( rat * rat * num ) > $o ).

tff(pred_def_670,type,
    sP572: ( num * rat * rat ) > $o ).

tff(pred_def_671,type,
    sP573: ( rat * rat * num ) > $o ).

tff(pred_def_672,type,
    sP574: ( int * int * int ) > $o ).

tff(pred_def_673,type,
    sP575: ( int * int * int ) > $o ).

tff(pred_def_674,type,
    sP576: ( int * int * int ) > $o ).

tff(pred_def_675,type,
    sP577: ( int * int * int ) > $o ).

tff(pred_def_676,type,
    sP578: ( rat * rat * rat ) > $o ).

tff(pred_def_677,type,
    sP579: ( rat * rat * rat ) > $o ).

tff(pred_def_678,type,
    sP580: ( rat * rat * rat ) > $o ).

tff(pred_def_679,type,
    sP581: ( rat * rat * rat ) > $o ).

tff(pred_def_680,type,
    sP582: ( rat * rat * rat ) > $o ).

tff(pred_def_681,type,
    sP583: ( nat * nat * code_integer ) > $o ).

tff(pred_def_682,type,
    sP584: ( nat * nat * int ) > $o ).

tff(pred_def_683,type,
    sP585: ( nat * nat * nat ) > $o ).

tff(pred_def_684,type,
    sP586: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_685,type,
    sP587: ( fun_nat_bool * set_nat * set_nat ) > $o ).

tff(pred_def_686,type,
    sP588: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_687,type,
    sP589: ( fun_Pr1607443439640623155t_bool * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_688,type,
    sP590: ( fun_nat_bool * set_nat * set_nat ) > $o ).

tff(pred_def_689,type,
    sP591: ( fun_nat_bool * set_nat * set_nat ) > $o ).

tff(pred_def_690,type,
    sP592: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_691,type,
    sP593: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_692,type,
    sP594: ( real * set_real * real * set_real ) > $o ).

tff(pred_def_693,type,
    sP595: ( int * set_int * int * set_int ) > $o ).

tff(pred_def_694,type,
    sP596: ( bool * set_bool * bool * set_bool ) > $o ).

tff(pred_def_695,type,
    sP597: ( set_bool * set_bool * bool * bool ) > $o ).

tff(pred_def_696,type,
    sP598: ( set_bool * bool * set_bool * bool ) > $o ).

tff(pred_def_697,type,
    sP599: ( bool * set_bool * bool * set_bool ) > $o ).

tff(pred_def_698,type,
    sP600: ( complex * set_complex * complex * set_complex ) > $o ).

tff(pred_def_699,type,
    sP601: ( nat * set_nat * nat * set_nat ) > $o ).

tff(pred_def_700,type,
    sP602: ( fun_na6724076748692969250l_real * real * nat ) > $o ).

tff(pred_def_701,type,
    sP603: ( option_num * option_num * option_num ) > $o ).

tff(pred_def_702,type,
    sP604: ( option_num * fun_num_fun_num_num * option_num * option_num ) > $o ).

tff(pred_def_703,type,
    sP605: ( option4927543243414619207at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > $o ).

tff(pred_def_704,type,
    sP606: ( option4927543243414619207at_nat * fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > $o ).

tff(pred_def_705,type,
    sP607: fun_co1378794544173401837x_bool > $o ).

tff(pred_def_706,type,
    sP608: fun_int_fun_int_bool > $o ).

tff(pred_def_707,type,
    sP609: fun_int_fun_int_bool > $o ).

tff(pred_def_708,type,
    sP610: fun_int_fun_int_bool > $o ).

tff(pred_def_709,type,
    sP611: fun_rat_fun_rat_bool > $o ).

tff(pred_def_710,type,
    sP612: fun_rat_fun_rat_bool > $o ).

tff(pred_def_711,type,
    sP613: ( fun_na6724076748692969250l_real * real * nat ) > $o ).

tff(pred_def_712,type,
    sP614: ( fun_na6724076748692969250l_real * real * nat ) > $o ).

tff(pred_def_713,type,
    sP615: fun_re1255401033344146673l_bool > $o ).

tff(pred_def_714,type,
    sP616: fun_re1255401033344146673l_bool > $o ).

tff(pred_def_715,type,
    sP617: ( fun_na6724076748692969250l_real * real * nat ) > $o ).

tff(pred_def_716,type,
    sP618: fun_nat_fun_nat_bool > $o ).

tff(pred_def_717,type,
    sP619: fun_nat_fun_nat_bool > $o ).

tff(pred_def_718,type,
    sP620: ( nat * list_bool * nat * bool ) > $o ).

tff(pred_def_719,type,
    sP621: ( bool * nat * list_bool * nat ) > $o ).

tff(pred_def_720,type,
    sP622: ( option_nat * option_nat * option_nat ) > $o ).

tff(pred_def_721,type,
    sP623: ( option_nat * fun_nat_fun_nat_nat * option_nat * option_nat ) > $o ).

tff(pred_def_722,type,
    sP624: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_723,type,
    sP625: ( set_nat * set_nat * set_nat * set_nat ) > $o ).

tff(pred_def_724,type,
    sP626: ( num * num * num * num ) > $o ).

tff(pred_def_725,type,
    sP627: ( rat * rat * rat * rat ) > $o ).

tff(pred_def_726,type,
    sP628: ( int * int * int * int ) > $o ).

tff(pred_def_727,type,
    sP629: ( real * real * real * real ) > $o ).

tff(pred_def_728,type,
    sP630: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_729,type,
    sP631: ( set_nat * set_nat * set_nat * set_nat ) > $o ).

tff(pred_def_730,type,
    sP632: ( nat * nat * nat * nat ) > $o ).

tff(pred_def_731,type,
    sP633: ( num * num * num * num ) > $o ).

tff(pred_def_732,type,
    sP634: ( rat * rat * rat * rat ) > $o ).

tff(pred_def_733,type,
    sP635: ( real * real * real * real ) > $o ).

tff(pred_def_734,type,
    sP636: ( int * int * int * int ) > $o ).

tff(pred_def_735,type,
    sP637: ( int * int * int ) > $o ).

tff(pred_def_736,type,
    sP638: ( int * int * int * int ) > $o ).

tff(pred_def_737,type,
    sP639: ( nat * nat * int * int ) > $o ).

tff(pred_def_738,type,
    sP640: ( produc3843707927480180839at_nat * produc3843707927480180839at_nat * produc3843707927480180839at_nat * produc3843707927480180839at_nat ) > $o ).

tff(pred_def_739,type,
    sP641: ( product_prod_nat_nat * product_prod_nat_nat * product_prod_nat_nat * product_prod_nat_nat ) > $o ).

tff(pred_def_740,type,
    sP642: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_741,type,
    sP643: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_742,type,
    sP644: ( nat * nat * nat * nat ) > $o ).

tff(pred_def_743,type,
    sP645: ( int * int * int * int ) > $o ).

tff(pred_def_744,type,
    sP646: ( nat * nat * nat * nat ) > $o ).

tff(pred_def_745,type,
    sP647: ( fun_real_complex * set_real * set_real ) > $o ).

tff(pred_def_746,type,
    sP648: ( fun_real_rat * set_real * set_real ) > $o ).

tff(pred_def_747,type,
    sP649: ( fun_real_real * set_real * set_real ) > $o ).

tff(pred_def_748,type,
    sP650: ( fun_real_rat * set_real * set_real ) > $o ).

tff(pred_def_749,type,
    sP651: ( fun_real_real * set_real * set_real ) > $o ).

tff(pred_def_750,type,
    sP652: ( fun_real_nat * set_real * set_real ) > $o ).

tff(pred_def_751,type,
    sP653: ( fun_int_complex * set_int * set_int ) > $o ).

tff(pred_def_752,type,
    sP654: ( fun_int_real * set_int * set_int ) > $o ).

tff(pred_def_753,type,
    sP655: ( fun_int_rat * set_int * set_int ) > $o ).

tff(pred_def_754,type,
    sP656: ( fun_int_real * set_int * set_int ) > $o ).

tff(pred_def_755,type,
    sP657: ( fun_bool_complex * set_bool * set_bool ) > $o ).

tff(pred_def_756,type,
    sP658: ( fun_bool_rat * set_bool * set_bool ) > $o ).

tff(pred_def_757,type,
    sP659: ( fun_bool_real * set_bool * set_bool ) > $o ).

tff(pred_def_758,type,
    sP660: ( fun_bool_rat * set_bool * set_bool ) > $o ).

tff(pred_def_759,type,
    sP661: ( fun_bool_real * set_bool * set_bool ) > $o ).

tff(pred_def_760,type,
    sP662: ( fun_bool_nat * set_bool * set_bool ) > $o ).

tff(pred_def_761,type,
    sP663: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_762,type,
    sP664: ( fun_complex_real * set_complex * set_complex ) > $o ).

tff(pred_def_763,type,
    sP665: ( fun_complex_rat * set_complex * set_complex ) > $o ).

tff(pred_def_764,type,
    sP666: ( fun_complex_real * set_complex * set_complex ) > $o ).

tff(pred_def_765,type,
    sP667: ( nat * nat * nat ) > $o ).

tff(pred_def_766,type,
    sP668: ( option4927543243414619207at_nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_767,type,
    sP669: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_768,type,
    sP670: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_769,type,
    sP671: ( nat * list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_770,type,
    sP672: ( fun_na6724076748692969250l_real * real * real * nat ) > $o ).

tff(pred_def_771,type,
    sP673: ( fun_na6724076748692969250l_real * real * real * nat ) > $o ).

tff(pred_def_772,type,
    sP674: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_773,type,
    sP675: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_774,type,
    sP676: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_775,type,
    sP677: ( real * real * real ) > $o ).

tff(pred_def_776,type,
    sP678: ( fun_na6724076748692969250l_real * real * real * nat ) > $o ).

tff(pred_def_777,type,
    sP679: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_778,type,
    sP680: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_779,type,
    sP681: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_780,type,
    sP682: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_781,type,
    sP683: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_782,type,
    sP684: ( list_VEBT_VEBT * nat * nat * nat * nat ) > $o ).

tff(pred_def_783,type,
    sP685: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_784,type,
    sP686: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(f80739,plain,
    $false,
    inference(avatar_sat_refutation,[],[f78301,f78306,f78311,f78317,f78322,f78327,f78332,f78337,f78342,f78346,f78350,f78354,f78358,f78363,f78367,f78371,f78375,f78379,f78383,f78387,f78391,f78395,f78399,f78403,f78407,f78411,f78415,f78419,f78423,f78427,f78431,f78435,f78439,f78443,f78447,f78451,f78455,f78459,f78463,f78468,f78473,f78478,f78483,f78488,f78493,f78498,f78503,f78508,f78513,f78518,f78523,f78528,f78533,f78538,f78543,f78548,f78553,f78558,f78563,f78568,f78573,f78578,f78583,f78588,f78593,f78598,f78603,f78608,f78613,f78617,f78621,f78625,f78629,f78633,f78637,f78641,f78645,f78649,f78653,f78657,f78661,f78665,f78670,f78674,f78678,f78682,f78686,f78691,f78696,f78701,f78706,f78711,f78716,f78721,f78726,f78731,f78736,f78741,f78746,f78751,f78756,f78761,f78766,f78771,f78776,f78781,f78786,f78791,f78796,f78801,f78806,f78811,f78816,f78821,f78826,f78831,f78836,f78841,f78846,f78851,f78856,f78861,f78866,f78871,f78876,f78881,f78886,f78891,f78896,f78901,f78906,f78911,f78916,f78921,f78926,f78931,f78936,f78940,f78944,f78948,f78952,f78956,f78960,f78964,f78968,f78972,f78976,f78980,f78984,f78988,f78992,f78996,f79000,f79004,f79008,f79012,f79016,f79020,f79024,f79028,f79032,f79036,f79040,f79044,f79048,f79052,f79056,f79060,f79064,f79068,f79072,f79076,f79080,f79084,f79088,f79092,f79096,f79100,f79104,f79108,f79112,f79116,f79120,f79124,f79128,f79132,f79136,f79140,f79144,f79148,f79152,f79156,f79160,f79164,f79168,f79172,f79176,f79180,f79184,f79188,f79192,f79196,f79200,f79204,f79208,f79212,f79216,f79220,f79224,f79228,f79232,f79236,f79240,f79244,f79248,f79252,f79256,f79260,f79264,f79268,f79272,f79276,f79280,f79284,f79288,f79292,f79296,f79300,f79304,f79309,f79314,f79319,f79324,f79328,f79332,f79337,f79342,f79347,f79352,f79357,f79362,f79366,f79370,f79374,f79378,f79382,f79386,f79390,f79394,f79398,f79402,f79406,f79410,f79414,f79418,f79422,f79426,f79430,f79434,f79438,f79442,f79446,f79450,f79454,f79458,f79462,f79466,f79470,f79474,f79478,f79482,f79486,f79490,f79494,f79498,f79502,f79506,f79510,f79514,f79518,f79522,f79526,f79530,f79535,f79540,f79545,f79550,f79555,f79560,f79565,f79570,f79575,f79580,f79584,f79588,f79592,f79596,f79600,f79604,f79608,f79615,f79625,f79630,f79635,f79640,f79647,f79652,f79657,f79662,f79667,f79672,f79677,f79682,f79687,f79693,f79699,f79704,f79709,f79714,f79719,f79724,f79729,f79734,f79739,f79743,f79747,f79751,f79755,f79759,f79763,f79767,f79771,f79775,f79779,f79783,f79787,f79791,f79795,f79799,f79803,f79807,f79811,f79815,f79819,f79823,f79827,f79831,f79835,f79839,f79843,f79847,f79851,f79855,f79859,f79863,f79867,f79871,f79875,f79879,f79883,f79887,f79891,f79895,f79899,f79903,f79907,f79911,f79915,f79919,f79923,f79927,f79931,f79935,f79939,f79943,f79947,f79951,f79955,f79959,f79963,f79967,f79971,f79975,f79979,f79983,f79987,f79991,f79995,f79999,f80003,f80007,f80011,f80015,f80019,f80023,f80027,f80031,f80035,f80039,f80043,f80047,f80051,f80055,f80059,f80063,f80067,f80071,f80075,f80079,f80083,f80087,f80091,f80095,f80099,f80103,f80107,f80111,f80115,f80119,f80123,f80127,f80131,f80136,f80140,f80144,f80148,f80152,f80156,f80161,f80166,f80171,f80175,f80179,f80183,f80187,f80191,f80195,f80199,f80203,f80207,f80211,f80215,f80219,f80223,f80227,f80231,f80235,f80239,f80243,f80247,f80251,f80255,f80259,f80263,f80267,f80271,f80275,f80279,f80283,f80287,f80291,f80295,f80299,f80303,f80307,f80311,f80316,f80321,f80326,f80331,f80336,f80341,f80346,f80351,f80356,f80361,f80366,f80371,f80376,f80381,f80386,f80390,f80394,f80398,f80403,f80408,f80413,f80418,f80423,f80428,f80433,f80437,f80442,f80447,f80452,f80456,f80460,f80464,f80468,f80472,f80565,f80613,f80617,f80625,f80630,f80646,f80654,f80676,f80681,f80696,f80706,f80711,f80716,f80722,f80727,f80732,f80737,f80738]) ).

tff(f80738,plain,
    spl3933_4,
    inference(avatar_split_clause,[],[f39278,f78314]) ).

tff(f78314,plain,
    ( spl3933_4
  <=> ( sa = vEBT_Node(info,deg,treeList,summary) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_4])]) ).

tff(f39278,plain,
    sa = vEBT_Node(info,deg,treeList,summary),
    inference(cnf_transformation,[],[f21580]) ).

tff(f21580,plain,
    ( ! [X0: vEBT_VEBT] :
        ( pp(aa_nat_bool(vEBT_invar_vebt(X0),na))
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(treeList))) )
    & pp(aa_nat_bool(vEBT_invar_vebt(summary),m))
    & ( size_s6755466524823107622T_VEBT(treeList) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) )
    & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
    & ( sa = vEBT_Node(info,deg,treeList,summary) ) ),
    inference(ennf_transformation,[],[f10958]) ).

tff(f10958,plain,
    ( ! [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)) )
    & pp(aa_nat_bool(vEBT_invar_vebt(summary),m))
    & ( size_s6755466524823107622T_VEBT(treeList) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) )
    & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
    & ( sa = vEBT_Node(info,deg,treeList,summary) ) ),
    inference(rectify,[],[f738]) ).

tff(f738,axiom,
    ( ! [X16: vEBT_VEBT] :
        ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X16),set_VEBT_VEBT2(treeList)))
       => pp(aa_nat_bool(vEBT_invar_vebt(X16),na)) )
    & pp(aa_nat_bool(vEBT_invar_vebt(summary),m))
    & ( size_s6755466524823107622T_VEBT(treeList) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) )
    & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
    & ( sa = vEBT_Node(info,deg,treeList,summary) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_737_sprop1) ).

tff(f80737,plain,
    spl3933_517,
    inference(avatar_split_clause,[],[f39051,f80734]) ).

tff(f80734,plain,
    ( spl3933_517
  <=> ( aa_num_num(bit0,one) = aa_num_num(inc,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_517])]) ).

tff(f39051,plain,
    aa_num_num(bit0,one) = aa_num_num(inc,one),
    inference(cnf_transformation,[],[f6665]) ).

tff(f6665,axiom,
    aa_num_num(bit0,one) = aa_num_num(inc,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6664_inc_Osimps_I1_J) ).

tff(f80732,plain,
    spl3933_516,
    inference(avatar_split_clause,[],[f39048,f80729]) ).

tff(f80729,plain,
    ( spl3933_516
  <=> ( image_nat_nat(suc,top_top_set_nat) = aa_nat_set_nat(set_or1210151606488870762an_nat,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_516])]) ).

tff(f39048,plain,
    image_nat_nat(suc,top_top_set_nat) = aa_nat_set_nat(set_or1210151606488870762an_nat,zero_zero_nat),
    inference(cnf_transformation,[],[f9879]) ).

tff(f9879,axiom,
    image_nat_nat(suc,top_top_set_nat) = aa_nat_set_nat(set_or1210151606488870762an_nat,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9878_greaterThan__0) ).

tff(f80727,plain,
    spl3933_515,
    inference(avatar_split_clause,[],[f39046,f80724]) ).

tff(f80724,plain,
    ( spl3933_515
  <=> ( one = aa_num_num(aa_num_fun_num_num(bit_or_not_num_neg,one),one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_515])]) ).

tff(f39046,plain,
    one = aa_num_num(aa_num_fun_num_num(bit_or_not_num_neg,one),one),
    inference(cnf_transformation,[],[f7150]) ).

tff(f7150,axiom,
    one = aa_num_num(aa_num_fun_num_num(bit_or_not_num_neg,one),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7149_or__not__num__neg_Osimps_I1_J) ).

tff(f80722,plain,
    spl3933_514,
    inference(avatar_split_clause,[],[f39039,f80719]) ).

tff(f80719,plain,
    ( spl3933_514
  <=> ( uminus_uminus_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zk) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_514])]) ).

tff(f39039,plain,
    uminus_uminus_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zk),
    inference(cnf_transformation,[],[f10162]) ).

tff(f10162,axiom,
    uminus_uminus_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10161_uminus__rat__def) ).

tff(f80716,plain,
    spl3933_513,
    inference(avatar_split_clause,[],[f39034,f80713]) ).

tff(f80713,plain,
    ( spl3933_513
  <=> ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_513])]) ).

tff(f39034,plain,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    inference(cnf_transformation,[],[f176]) ).

tff(f176,axiom,
    deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_case4_I6_J) ).

tff(f80711,plain,
    spl3933_512,
    inference(avatar_split_clause,[],[f39033,f80708]) ).

tff(f80708,plain,
    ( spl3933_512
  <=> ( inverse_inverse_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zj) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_512])]) ).

tff(f39033,plain,
    inverse_inverse_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zj),
    inference(cnf_transformation,[],[f10159]) ).

tff(f10159,axiom,
    inverse_inverse_rat = aa_fun7041730090766645614at_rat(map_fu5673905371560938248nt_rat(rep_Rat,abs_Rat),aTP_Lamm_zj),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10158_inverse__rat__def) ).

tff(f80706,plain,
    spl3933_511,
    inference(avatar_split_clause,[],[f39031,f80703]) ).

tff(f80703,plain,
    ( spl3933_511
  <=> ( info = some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_511])]) ).

tff(f39031,plain,
    info = some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    info = some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_infsplit) ).

tff(f80696,plain,
    ( ~ spl3933_510
    | ~ spl3933_144
    | ~ spl3933_471 ),
    inference(avatar_split_clause,[],[f80671,f80333,f78962,f80693]) ).

tff(f80693,plain,
    ( spl3933_510
  <=> ( one_one_nat = finite_card_bool(top_top_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_510])]) ).

tff(f78962,plain,
    ( spl3933_144
  <=> ! [X0: nat] : ( aa_nat_nat(suc,X0) != X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_144])]) ).

tff(f80333,plain,
    ( spl3933_471
  <=> ( aa_nat_nat(suc,one_one_nat) = finite_card_bool(top_top_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_471])]) ).

tff(f80671,plain,
    ( ( one_one_nat != finite_card_bool(top_top_set_bool) )
    | ~ spl3933_144
    | ~ spl3933_471 ),
    inference(superposition,[],[f78963,f80335]) ).

tff(f80335,plain,
    ( ( aa_nat_nat(suc,one_one_nat) = finite_card_bool(top_top_set_bool) )
    | ~ spl3933_471 ),
    inference(avatar_component_clause,[],[f80333]) ).

tff(f78963,plain,
    ( ! [X0: nat] : ( aa_nat_nat(suc,X0) != X0 )
    | ~ spl3933_144 ),
    inference(avatar_component_clause,[],[f78962]) ).

tff(f80681,plain,
    ( ~ spl3933_509
    | ~ spl3933_145
    | ~ spl3933_471 ),
    inference(avatar_split_clause,[],[f80670,f80333,f78966,f80678]) ).

tff(f80678,plain,
    ( spl3933_509
  <=> ( zero_zero_nat = finite_card_bool(top_top_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_509])]) ).

tff(f78966,plain,
    ( spl3933_145
  <=> ! [X0: nat] : ( zero_zero_nat != aa_nat_nat(suc,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_145])]) ).

tff(f80670,plain,
    ( ( zero_zero_nat != finite_card_bool(top_top_set_bool) )
    | ~ spl3933_145
    | ~ spl3933_471 ),
    inference(superposition,[],[f78967,f80335]) ).

tff(f78967,plain,
    ( ! [X0: nat] : ( zero_zero_nat != aa_nat_nat(suc,X0) )
    | ~ spl3933_145 ),
    inference(avatar_component_clause,[],[f78966]) ).

tff(f80676,plain,
    ( spl3933_508
    | ~ spl3933_300
    | ~ spl3933_467 ),
    inference(avatar_split_clause,[],[f80669,f80313,f79606,f80673]) ).

tff(f80673,plain,
    ( spl3933_508
  <=> sP147(vEBT_vebt_buildup(one_one_nat),one_one_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_508])]) ).

tff(f79606,plain,
    ( spl3933_300
  <=> ! [X2: bool,X3: bool] : sP147(vEBT_Leaf(X2,X3),one_one_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_300])]) ).

tff(f80313,plain,
    ( spl3933_467
  <=> ( vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_467])]) ).

tff(f80669,plain,
    ( sP147(vEBT_vebt_buildup(one_one_nat),one_one_nat)
    | ~ spl3933_300
    | ~ spl3933_467 ),
    inference(superposition,[],[f79607,f80315]) ).

tff(f80315,plain,
    ( ( vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(one_one_nat) )
    | ~ spl3933_467 ),
    inference(avatar_component_clause,[],[f80313]) ).

tff(f79607,plain,
    ( ! [X2: bool,X3: bool] : sP147(vEBT_Leaf(X2,X3),one_one_nat)
    | ~ spl3933_300 ),
    inference(avatar_component_clause,[],[f79606]) ).

tff(f80654,plain,
    ( spl3933_507
    | ~ spl3933_10
    | ~ spl3933_442 ),
    inference(avatar_split_clause,[],[f80649,f80213,f78344,f80651]) ).

tff(f80651,plain,
    ( spl3933_507
  <=> finite5795047828879050333T_VEBT(bot_bo8194388402131092736T_VEBT) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_507])]) ).

tff(f78344,plain,
    ( spl3933_10
  <=> ! [X0: list_VEBT_VEBT] : finite5795047828879050333T_VEBT(set_VEBT_VEBT2(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_10])]) ).

tff(f80213,plain,
    ( spl3933_442
  <=> ! [X1: vEBT_VEBT] : ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_442])]) ).

tff(f80649,plain,
    ( finite5795047828879050333T_VEBT(bot_bo8194388402131092736T_VEBT)
    | ~ spl3933_10
    | ~ spl3933_442 ),
    inference(superposition,[],[f78345,f80214]) ).

tff(f80214,plain,
    ( ! [X1: vEBT_VEBT] : ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(zero_zero_nat,X1)) )
    | ~ spl3933_442 ),
    inference(avatar_component_clause,[],[f80213]) ).

tff(f78345,plain,
    ( ! [X0: list_VEBT_VEBT] : finite5795047828879050333T_VEBT(set_VEBT_VEBT2(X0))
    | ~ spl3933_10 ),
    inference(avatar_component_clause,[],[f78344]) ).

tff(f80646,plain,
    ( ~ spl3933_506
    | ~ spl3933_109
    | ~ spl3933_425 ),
    inference(avatar_split_clause,[],[f80632,f80142,f78793,f80643]) ).

tff(f80643,plain,
    ( spl3933_506
  <=> ( extend5688581933313929465d_enat = extended_enat2(one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_506])]) ).

tff(f78793,plain,
    ( spl3933_109
  <=> ( one_one_nat = aa_num_nat(numeral_numeral_nat,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_109])]) ).

tff(f80142,plain,
    ( spl3933_425
  <=> ! [X0: num] : ( extend5688581933313929465d_enat != extended_enat2(aa_num_nat(numeral_numeral_nat,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_425])]) ).

tff(f80632,plain,
    ( ( extend5688581933313929465d_enat != extended_enat2(one_one_nat) )
    | ~ spl3933_109
    | ~ spl3933_425 ),
    inference(superposition,[],[f80143,f78795]) ).

tff(f78795,plain,
    ( ( one_one_nat = aa_num_nat(numeral_numeral_nat,one) )
    | ~ spl3933_109 ),
    inference(avatar_component_clause,[],[f78793]) ).

tff(f80143,plain,
    ( ! [X0: num] : ( extend5688581933313929465d_enat != extended_enat2(aa_num_nat(numeral_numeral_nat,X0)) )
    | ~ spl3933_425 ),
    inference(avatar_component_clause,[],[f80142]) ).

tff(f80630,plain,
    ( spl3933_505
    | ~ spl3933_75
    | ~ spl3933_501 ),
    inference(avatar_split_clause,[],[f80577,f80563,f78635,f80628]) ).

tff(f80628,plain,
    ( spl3933_505
  <=> ! [X0: list_nat] : ( fFalse = aa_list_nat_bool(aTP_Lamm_ce,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_505])]) ).

tff(f78635,plain,
    ( spl3933_75
  <=> ! [X0: list_nat] : ~ pp(aa_list_nat_bool(aTP_Lamm_ce,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_75])]) ).

tff(f80563,plain,
    ( spl3933_501
  <=> ! [X0: bool] :
        ( pp(X0)
        | ( fFalse = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_501])]) ).

tff(f80577,plain,
    ( ! [X0: list_nat] : ( fFalse = aa_list_nat_bool(aTP_Lamm_ce,X0) )
    | ~ spl3933_75
    | ~ spl3933_501 ),
    inference(resolution,[],[f80564,f78636]) ).

tff(f78636,plain,
    ( ! [X0: list_nat] : ~ pp(aa_list_nat_bool(aTP_Lamm_ce,X0))
    | ~ spl3933_75 ),
    inference(avatar_component_clause,[],[f78635]) ).

tff(f80564,plain,
    ( ! [X0: bool] :
        ( pp(X0)
        | ( fFalse = X0 ) )
    | ~ spl3933_501 ),
    inference(avatar_component_clause,[],[f80563]) ).

tff(f80625,plain,
    ( spl3933_504
    | ~ spl3933_80
    | ~ spl3933_501 ),
    inference(avatar_split_clause,[],[f80574,f80563,f78655,f80623]) ).

tff(f80623,plain,
    ( spl3933_504
  <=> ! [X0: int] : ( fFalse = aa_int_bool(aTP_Lamm_ci,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_504])]) ).

tff(f78655,plain,
    ( spl3933_80
  <=> ! [X0: int] : ~ pp(aa_int_bool(aTP_Lamm_ci,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_80])]) ).

tff(f80574,plain,
    ( ! [X0: int] : ( fFalse = aa_int_bool(aTP_Lamm_ci,X0) )
    | ~ spl3933_80
    | ~ spl3933_501 ),
    inference(resolution,[],[f80564,f78656]) ).

tff(f78656,plain,
    ( ! [X0: int] : ~ pp(aa_int_bool(aTP_Lamm_ci,X0))
    | ~ spl3933_80 ),
    inference(avatar_component_clause,[],[f78655]) ).

tff(f80617,plain,
    ( spl3933_503
    | ~ spl3933_78
    | ~ spl3933_501 ),
    inference(avatar_split_clause,[],[f80572,f80563,f78647,f80615]) ).

tff(f80615,plain,
    ( spl3933_503
  <=> ! [X0: bool] : ( fFalse = aa_bool_bool(aTP_Lamm_cg,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_503])]) ).

tff(f78647,plain,
    ( spl3933_78
  <=> ! [X0: bool] : ~ pp(aa_bool_bool(aTP_Lamm_cg,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_78])]) ).

tff(f80572,plain,
    ( ! [X0: bool] : ( fFalse = aa_bool_bool(aTP_Lamm_cg,X0) )
    | ~ spl3933_78
    | ~ spl3933_501 ),
    inference(resolution,[],[f80564,f78648]) ).

tff(f78648,plain,
    ( ! [X0: bool] : ~ pp(aa_bool_bool(aTP_Lamm_cg,X0))
    | ~ spl3933_78 ),
    inference(avatar_component_clause,[],[f78647]) ).

tff(f80613,plain,
    ( spl3933_502
    | ~ spl3933_77
    | ~ spl3933_501 ),
    inference(avatar_split_clause,[],[f80571,f80563,f78643,f80611]) ).

tff(f80611,plain,
    ( spl3933_502
  <=> ! [X0: complex] : ( fFalse = aa_complex_bool(aTP_Lamm_cc,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_502])]) ).

tff(f78643,plain,
    ( spl3933_77
  <=> ! [X0: complex] : ~ pp(aa_complex_bool(aTP_Lamm_cc,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_77])]) ).

tff(f80571,plain,
    ( ! [X0: complex] : ( fFalse = aa_complex_bool(aTP_Lamm_cc,X0) )
    | ~ spl3933_77
    | ~ spl3933_501 ),
    inference(resolution,[],[f80564,f78644]) ).

tff(f78644,plain,
    ( ! [X0: complex] : ~ pp(aa_complex_bool(aTP_Lamm_cc,X0))
    | ~ spl3933_77 ),
    inference(avatar_component_clause,[],[f78643]) ).

tff(f80565,plain,
    ( spl3933_501
    | ~ spl3933_2
    | ~ spl3933_368 ),
    inference(avatar_split_clause,[],[f80479,f79913,f78303,f80563]) ).

tff(f78303,plain,
    ( spl3933_2
  <=> pp(fTrue) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_2])]) ).

tff(f79913,plain,
    ( spl3933_368
  <=> ! [X0: bool] :
        ( ( fFalse = X0 )
        | ( fTrue = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_368])]) ).

tff(f80479,plain,
    ( ! [X0: bool] :
        ( pp(X0)
        | ( fFalse = X0 ) )
    | ~ spl3933_2
    | ~ spl3933_368 ),
    inference(superposition,[],[f78305,f79914]) ).

tff(f79914,plain,
    ( ! [X0: bool] :
        ( ( fTrue = X0 )
        | ( fFalse = X0 ) )
    | ~ spl3933_368 ),
    inference(avatar_component_clause,[],[f79913]) ).

tff(f78305,plain,
    ( pp(fTrue)
    | ~ spl3933_2 ),
    inference(avatar_component_clause,[],[f78303]) ).

tff(f80472,plain,
    spl3933_500,
    inference(avatar_split_clause,[],[f76690,f80470]) ).

tff(f80470,plain,
    ( spl3933_500
  <=> ! [X0: vEBT_VEBT] : ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),bot_bo8194388402131092736T_VEBT)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_500])]) ).

tff(f76690,plain,
    ! [X0: vEBT_VEBT] : ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),bot_bo8194388402131092736T_VEBT)),
    inference(forward_demodulation,[],[f63871,f62547]) ).

tff(f62547,plain,
    ! [X1: vEBT_VEBT] : ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43961]) ).

tff(f43961,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22239]) ).

tff(f22239,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( ( ( insert_VEBT_VEBT(X1,bot_bo8194388402131092736T_VEBT) = set_VEBT_VEBT2(replicate_VEBT_VEBT(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14918]) ).

tff(f14918,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert_VEBT_VEBT(X1,bot_bo8194388402131092736T_VEBT) = set_VEBT_VEBT2(replicate_VEBT_VEBT(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bo8194388402131092736T_VEBT = set_VEBT_VEBT2(replicate_VEBT_VEBT(X0,X1)) ) ) ),
    inference(rectify,[],[f5306]) ).

tff(f5306,axiom,
    ! [X28: nat,X18: vEBT_VEBT] :
      ( ( ( zero_zero_nat != X28 )
       => ( set_VEBT_VEBT2(replicate_VEBT_VEBT(X28,X18)) = insert_VEBT_VEBT(X18,bot_bo8194388402131092736T_VEBT) ) )
      & ( ( zero_zero_nat = X28 )
       => ( set_VEBT_VEBT2(replicate_VEBT_VEBT(X28,X18)) = bot_bo8194388402131092736T_VEBT ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5305_set__replicate__conv__if) ).

tff(f63871,plain,
    ! [X2: vEBT_VEBT,X0: vEBT_VEBT] : ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(zero_zero_nat,X2)))),
    inference(equality_resolution,[],[f54947]) ).

tff(f54947,plain,
    ! [X2: vEBT_VEBT,X0: vEBT_VEBT,X1: nat] :
      ( ( zero_zero_nat != X1 )
      | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2)))) ),
    inference(cnf_transformation,[],[f36787]) ).

tff(f36787,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: vEBT_VEBT] :
      ( ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2))))
        | ( zero_zero_nat = X1 )
        | ( X0 != X2 ) )
      & ( ( ( zero_zero_nat != X1 )
          & ( X0 = X2 ) )
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2)))) ) ),
    inference(flattening,[],[f36786]) ).

tff(f36786,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: vEBT_VEBT] :
      ( ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2))))
        | ( zero_zero_nat = X1 )
        | ( X0 != X2 ) )
      & ( ( ( zero_zero_nat != X1 )
          & ( X0 = X2 ) )
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2)))) ) ),
    inference(nnf_transformation,[],[f20207]) ).

tff(f20207,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: vEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X0),set_VEBT_VEBT2(replicate_VEBT_VEBT(X1,X2))))
    <=> ( ( zero_zero_nat != X1 )
        & ( X0 = X2 ) ) ),
    inference(rectify,[],[f5277]) ).

tff(f5277,axiom,
    ! [X18: vEBT_VEBT,X28: nat,X21: vEBT_VEBT] :
      ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X18),set_VEBT_VEBT2(replicate_VEBT_VEBT(X28,X21))))
    <=> ( ( zero_zero_nat != X28 )
        & ( X18 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5276_in__set__replicate) ).

tff(f80468,plain,
    spl3933_499,
    inference(avatar_split_clause,[],[f76574,f80466]) ).

tff(f80466,plain,
    ( spl3933_499
  <=> ! [X1: produc3843707927480180839at_nat] : sP494(collec6321179662152712658at_nat(aTP_Lamm_aj(X1)),X1,bot_bo228742789529271731at_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_499])]) ).

tff(f76574,plain,
    ! [X1: produc3843707927480180839at_nat] : sP494(collec6321179662152712658at_nat(aTP_Lamm_aj(X1)),X1,bot_bo228742789529271731at_nat),
    inference(forward_demodulation,[],[f63797,f58516]) ).

tff(f58516,plain,
    ! [X0: produc3843707927480180839at_nat] : ( collec6321179662152712658at_nat(aTP_Lamm_aj(X0)) = collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X0),bot_bo228742789529271731at_nat)) ),
    inference(definition_unfolding,[],[f39650,f42515]) ).

tff(f42515,plain,
    ! [X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] : ( insert9069300056098147895at_nat(X0,X1) = collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X0),X1)) ),
    inference(cnf_transformation,[],[f13507]) ).

tff(f13507,plain,
    ! [X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] : ( insert9069300056098147895at_nat(X0,X1) = collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X0),X1)) ),
    inference(rectify,[],[f2640]) ).

tff(f2640,axiom,
    ! [X12: produc3843707927480180839at_nat,X41: set_Pr4329608150637261639at_nat] : ( insert9069300056098147895at_nat(X12,X41) = collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X12),X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2639_insert__compr) ).

tff(f39650,plain,
    ! [X0: produc3843707927480180839at_nat] : ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = collec6321179662152712658at_nat(aTP_Lamm_aj(X0)) ),
    inference(cnf_transformation,[],[f11318]) ).

tff(f11318,plain,
    ! [X0: produc3843707927480180839at_nat] : ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = collec6321179662152712658at_nat(aTP_Lamm_aj(X0)) ),
    inference(rectify,[],[f2528]) ).

tff(f2528,axiom,
    ! [X12: produc3843707927480180839at_nat] : ( insert9069300056098147895at_nat(X12,bot_bo228742789529271731at_nat) = collec6321179662152712658at_nat(aTP_Lamm_aj(X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2527_singleton__conv) ).

tff(f63797,plain,
    ! [X1: produc3843707927480180839at_nat] : sP494(collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)),X1,bot_bo228742789529271731at_nat),
    inference(equality_resolution,[],[f63796]) ).

tff(f63796,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP494(collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)),X1,X2)
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(equality_resolution,[],[f61593]) ).

tff(f61593,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP494(X0,X1,X2)
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X0 )
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(definition_unfolding,[],[f54814,f42515]) ).

tff(f54814,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP494(X0,X1,X2)
      | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(cnf_transformation,[],[f36715]) ).

tff(f36715,plain,
    ! [X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
      ( ( sP494(X0,X1,X2)
        | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
        | ( bot_bo228742789529271731at_nat != X2 ) )
      & ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X0 )
          & ( bot_bo228742789529271731at_nat = X2 ) )
        | ~ sP494(X0,X1,X2) ) ),
    inference(rectify,[],[f36714]) ).

tff(f36714,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP494(X2,X0,X1)
        | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X2 )
        | ( bot_bo228742789529271731at_nat != X1 ) )
      & ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
          & ( bot_bo228742789529271731at_nat = X1 ) )
        | ~ sP494(X2,X0,X1) ) ),
    inference(flattening,[],[f36713]) ).

tff(f36713,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP494(X2,X0,X1)
        | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X2 )
        | ( bot_bo228742789529271731at_nat != X1 ) )
      & ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
          & ( bot_bo228742789529271731at_nat = X1 ) )
        | ~ sP494(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f29224]) ).

tff(f29224,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( sP494(X2,X0,X1)
    <=> ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
        & ( bot_bo228742789529271731at_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP494])]) ).

tff(f80464,plain,
    spl3933_498,
    inference(avatar_split_clause,[],[f76568,f80462]) ).

tff(f80462,plain,
    ( spl3933_498
  <=> ! [X1: produc3843707927480180839at_nat] : sP495(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aTP_Lamm_aj(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_498])]) ).

tff(f76568,plain,
    ! [X1: produc3843707927480180839at_nat] : sP495(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aTP_Lamm_aj(X1))),
    inference(forward_demodulation,[],[f63795,f58516]) ).

tff(f63795,plain,
    ! [X1: produc3843707927480180839at_nat] : sP495(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat))),
    inference(equality_resolution,[],[f63794]) ).

tff(f63794,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP495(bot_bo228742789529271731at_nat,X1,X2)
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X2 ) ),
    inference(equality_resolution,[],[f61588]) ).

tff(f61588,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP495(X0,X1,X2)
      | ( bot_bo228742789529271731at_nat != X0 )
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X2 ) ),
    inference(definition_unfolding,[],[f54810,f42515]) ).

tff(f54810,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP495(X0,X1,X2)
      | ( bot_bo228742789529271731at_nat != X0 )
      | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) ),
    inference(cnf_transformation,[],[f36712]) ).

tff(f36712,plain,
    ! [X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
      ( ( sP495(X0,X1,X2)
        | ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
            | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) )
          & ( ( bot_bo228742789529271731at_nat != X0 )
            | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) )
          & ~ sP494(X0,X1,X2) ) )
      & ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X0 )
          & ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X2 ) )
        | ( ( bot_bo228742789529271731at_nat = X0 )
          & ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X2 ) )
        | sP494(X0,X1,X2)
        | ~ sP495(X0,X1,X2) ) ),
    inference(rectify,[],[f36711]) ).

tff(f36711,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP495(X2,X0,X1)
        | ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X2 )
            | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X1 ) )
          & ( ( bot_bo228742789529271731at_nat != X2 )
            | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X1 ) )
          & ~ sP494(X2,X0,X1) ) )
      & ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | ( ( bot_bo228742789529271731at_nat = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | sP494(X2,X0,X1)
        | ~ sP495(X2,X0,X1) ) ),
    inference(flattening,[],[f36710]) ).

tff(f36710,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP495(X2,X0,X1)
        | ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X2 )
            | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X1 ) )
          & ( ( bot_bo228742789529271731at_nat != X2 )
            | ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) != X1 ) )
          & ~ sP494(X2,X0,X1) ) )
      & ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | ( ( bot_bo228742789529271731at_nat = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | sP494(X2,X0,X1)
        | ~ sP495(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f29225]) ).

tff(f29225,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( sP495(X2,X0,X1)
    <=> ( ( ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | ( ( bot_bo228742789529271731at_nat = X2 )
          & ( insert9069300056098147895at_nat(X0,bot_bo228742789529271731at_nat) = X1 ) )
        | sP494(X2,X0,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP495])]) ).

tff(f80460,plain,
    spl3933_497,
    inference(avatar_split_clause,[],[f76561,f80458]) ).

tff(f80458,plain,
    ( spl3933_497
  <=> ! [X1: produc3843707927480180839at_nat] : sP492(collec6321179662152712658at_nat(aTP_Lamm_aj(X1)),X1,bot_bo228742789529271731at_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_497])]) ).

tff(f76561,plain,
    ! [X1: produc3843707927480180839at_nat] : sP492(collec6321179662152712658at_nat(aTP_Lamm_aj(X1)),X1,bot_bo228742789529271731at_nat),
    inference(forward_demodulation,[],[f63791,f58516]) ).

tff(f63791,plain,
    ! [X1: produc3843707927480180839at_nat] : sP492(collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)),X1,bot_bo228742789529271731at_nat),
    inference(equality_resolution,[],[f63790]) ).

tff(f63790,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP492(collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)),X1,X2)
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(equality_resolution,[],[f61583]) ).

tff(f61583,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP492(X0,X1,X2)
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X0 )
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(definition_unfolding,[],[f54802,f42515]) ).

tff(f54802,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP492(X0,X1,X2)
      | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
      | ( bot_bo228742789529271731at_nat != X2 ) ),
    inference(cnf_transformation,[],[f36708]) ).

tff(f36708,plain,
    ! [X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
      ( ( sP492(X0,X1,X2)
        | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
        | ( bot_bo228742789529271731at_nat != X2 ) )
      & ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X0 )
          & ( bot_bo228742789529271731at_nat = X2 ) )
        | ~ sP492(X0,X1,X2) ) ),
    inference(rectify,[],[f36707]) ).

tff(f36707,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( ( sP492(X1,X2,X0)
        | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X1 )
        | ( bot_bo228742789529271731at_nat != X0 ) )
      & ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
          & ( bot_bo228742789529271731at_nat = X0 ) )
        | ~ sP492(X1,X2,X0) ) ),
    inference(flattening,[],[f36706]) ).

tff(f36706,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( ( sP492(X1,X2,X0)
        | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X1 )
        | ( bot_bo228742789529271731at_nat != X0 ) )
      & ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
          & ( bot_bo228742789529271731at_nat = X0 ) )
        | ~ sP492(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f29221]) ).

tff(f29221,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( sP492(X1,X2,X0)
    <=> ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
        & ( bot_bo228742789529271731at_nat = X0 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP492])]) ).

tff(f80456,plain,
    spl3933_496,
    inference(avatar_split_clause,[],[f76555,f80454]) ).

tff(f80454,plain,
    ( spl3933_496
  <=> ! [X1: produc3843707927480180839at_nat] : sP493(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aTP_Lamm_aj(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_496])]) ).

tff(f76555,plain,
    ! [X1: produc3843707927480180839at_nat] : sP493(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aTP_Lamm_aj(X1))),
    inference(forward_demodulation,[],[f63789,f58516]) ).

tff(f63789,plain,
    ! [X1: produc3843707927480180839at_nat] : sP493(bot_bo228742789529271731at_nat,X1,collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat))),
    inference(equality_resolution,[],[f63788]) ).

tff(f63788,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP493(bot_bo228742789529271731at_nat,X1,X2)
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X2 ) ),
    inference(equality_resolution,[],[f61578]) ).

tff(f61578,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP493(X0,X1,X2)
      | ( bot_bo228742789529271731at_nat != X0 )
      | ( collec6321179662152712658at_nat(aa_set377272637606474814t_bool(aTP_Lamm_cr(X1),bot_bo228742789529271731at_nat)) != X2 ) ),
    inference(definition_unfolding,[],[f54798,f42515]) ).

tff(f54798,plain,
    ! [X2: set_Pr4329608150637261639at_nat,X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat] :
      ( sP493(X0,X1,X2)
      | ( bot_bo228742789529271731at_nat != X0 )
      | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) ),
    inference(cnf_transformation,[],[f36705]) ).

tff(f36705,plain,
    ! [X0: set_Pr4329608150637261639at_nat,X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
      ( ( sP493(X0,X1,X2)
        | ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X0 )
            | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) )
          & ( ( bot_bo228742789529271731at_nat != X0 )
            | ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) != X2 ) )
          & ~ sP492(X0,X1,X2) ) )
      & ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X0 )
          & ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X2 ) )
        | ( ( bot_bo228742789529271731at_nat = X0 )
          & ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = X2 ) )
        | sP492(X0,X1,X2)
        | ~ sP493(X0,X1,X2) ) ),
    inference(rectify,[],[f36704]) ).

tff(f36704,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( ( sP493(X1,X2,X0)
        | ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X1 )
            | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X0 ) )
          & ( ( bot_bo228742789529271731at_nat != X1 )
            | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X0 ) )
          & ~ sP492(X1,X2,X0) ) )
      & ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | ( ( bot_bo228742789529271731at_nat = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | sP492(X1,X2,X0)
        | ~ sP493(X1,X2,X0) ) ),
    inference(flattening,[],[f36703]) ).

tff(f36703,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( ( sP493(X1,X2,X0)
        | ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X1 )
            | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X0 ) )
          & ( ( bot_bo228742789529271731at_nat != X1 )
            | ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) != X0 ) )
          & ~ sP492(X1,X2,X0) ) )
      & ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | ( ( bot_bo228742789529271731at_nat = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | sP492(X1,X2,X0)
        | ~ sP493(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f29222]) ).

tff(f29222,plain,
    ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X0: set_Pr4329608150637261639at_nat] :
      ( sP493(X1,X2,X0)
    <=> ( ( ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | ( ( bot_bo228742789529271731at_nat = X1 )
          & ( insert9069300056098147895at_nat(X2,bot_bo228742789529271731at_nat) = X0 ) )
        | sP492(X1,X2,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP493])]) ).

tff(f80452,plain,
    spl3933_495,
    inference(avatar_split_clause,[],[f72609,f80449]) ).

tff(f80449,plain,
    ( spl3933_495
  <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),one_one_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_495])]) ).

tff(f72609,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),one_one_real)),
    inference(forward_demodulation,[],[f63256,f39490]) ).

tff(f39490,plain,
    ! [X0: real] : ( one_one_real = aa_nat_real(power_power_real(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11158]) ).

tff(f11158,plain,
    ! [X0: real] : ( one_one_real = aa_nat_real(power_power_real(X0),zero_zero_nat) ),
    inference(rectify,[],[f3318]) ).

tff(f3318,axiom,
    ! [X12: real] : ( one_one_real = aa_nat_real(power_power_real(X12),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3317_power__0) ).

tff(f63256,plain,
    ! [X0: nat] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),zero_zero_nat))),
    inference(equality_resolution,[],[f49233]) ).

tff(f49233,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1)))
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33752]) ).

tff(f33752,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1))) ) ),
    inference(flattening,[],[f33751]) ).

tff(f33751,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1))) ) ),
    inference(nnf_transformation,[],[f17417]) ).

tff(f17417,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X0)),X1)))
    <=> ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(rectify,[],[f7383]) ).

tff(f7383,axiom,
    ! [X18: nat,X28: nat] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),aa_nat_real(power_power_real(aa_nat_real(semiri5074537144036343181t_real,X18)),X28)))
    <=> ( ( zero_zero_nat = X28 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X18)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7382_of__nat__zero__less__power__iff) ).

tff(f80447,plain,
    spl3933_494,
    inference(avatar_split_clause,[],[f72594,f80444]) ).

tff(f80444,plain,
    ( spl3933_494
  <=> pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),one_one_rat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_494])]) ).

tff(f72594,plain,
    pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),one_one_rat)),
    inference(forward_demodulation,[],[f63250,f39486]) ).

tff(f39486,plain,
    ! [X0: rat] : ( one_one_rat = aa_nat_rat(power_power_rat(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11154]) ).

tff(f11154,plain,
    ! [X0: rat] : ( one_one_rat = aa_nat_rat(power_power_rat(X0),zero_zero_nat) ),
    inference(rectify,[],[f3316]) ).

tff(f3316,axiom,
    ! [X12: rat] : ( one_one_rat = aa_nat_rat(power_power_rat(X12),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3315_power__0) ).

tff(f63250,plain,
    ! [X0: nat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),zero_zero_nat))),
    inference(equality_resolution,[],[f49202]) ).

tff(f49202,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1)))
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33737]) ).

tff(f33737,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1))) ) ),
    inference(flattening,[],[f33736]) ).

tff(f33736,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1))) ) ),
    inference(nnf_transformation,[],[f17411]) ).

tff(f17411,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X0)),X1)))
    <=> ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(rectify,[],[f7382]) ).

tff(f7382,axiom,
    ! [X18: nat,X28: nat] :
      ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),aa_nat_rat(power_power_rat(aa_nat_rat(semiri681578069525770553at_rat,X18)),X28)))
    <=> ( ( zero_zero_nat = X28 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X18)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7381_of__nat__zero__less__power__iff) ).

tff(f80442,plain,
    spl3933_493,
    inference(avatar_split_clause,[],[f72579,f80439]) ).

tff(f80439,plain,
    ( spl3933_493
  <=> pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),one_one_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_493])]) ).

tff(f72579,plain,
    pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),one_one_int)),
    inference(forward_demodulation,[],[f63244,f39488]) ).

tff(f39488,plain,
    ! [X0: int] : ( one_one_int = aa_nat_int(power_power_int(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11156]) ).

tff(f11156,plain,
    ! [X0: int] : ( one_one_int = aa_nat_int(power_power_int(X0),zero_zero_nat) ),
    inference(rectify,[],[f3319]) ).

tff(f3319,axiom,
    ! [X12: int] : ( one_one_int = aa_nat_int(power_power_int(X12),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3318_power__0) ).

tff(f63244,plain,
    ! [X0: nat] : pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),zero_zero_nat))),
    inference(equality_resolution,[],[f49171]) ).

tff(f49171,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1)))
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33722]) ).

tff(f33722,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1))) ) ),
    inference(flattening,[],[f33721]) ).

tff(f33721,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1)))
        | ( ( zero_zero_nat != X1 )
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) )
      & ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
        | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1))) ) ),
    inference(nnf_transformation,[],[f17405]) ).

tff(f17405,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X0)),X1)))
    <=> ( ( zero_zero_nat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(rectify,[],[f7384]) ).

tff(f7384,axiom,
    ! [X18: nat,X28: nat] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),aa_nat_int(power_power_int(aa_nat_int(semiri1314217659103216013at_int,X18)),X28)))
    <=> ( ( zero_zero_nat = X28 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X18)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7383_of__nat__zero__less__power__iff) ).

tff(f80437,plain,
    spl3933_492,
    inference(avatar_split_clause,[],[f72275,f80435]) ).

tff(f80435,plain,
    ( spl3933_492
  <=> ! [X0: nat] : pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(aTP_Lamm_zp,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_492])]) ).

tff(f72275,plain,
    ! [X0: nat] : pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(aTP_Lamm_zp,X0))),
    inference(forward_demodulation,[],[f63180,f39847]) ).

tff(f39847,plain,
    ! [X0: nat] : ( aa_nat7603221163087113075at_nat(aTP_Lamm_zp,X0) = aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11515]) ).

tff(f11515,plain,
    ! [X0: nat] : ( aa_nat7603221163087113075at_nat(aTP_Lamm_zp,X0) = aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),zero_zero_nat) ),
    inference(rectify,[],[f10220]) ).

tff(f10220,axiom,
    ! [X93: nat] : ( aa_nat7603221163087113075at_nat(aTP_Lamm_zp,X93) = aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X93),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10219_ATP_Olambda__14) ).

tff(f63180,plain,
    ! [X0: nat] : pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),zero_zero_nat))),
    inference(equality_resolution,[],[f48233]) ).

tff(f48233,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1)))
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33235]) ).

tff(f33235,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1)))
        | ( zero_zero_nat != X1 ) )
      & ( ( zero_zero_nat = X1 )
        | ~ pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1))) ) ),
    inference(nnf_transformation,[],[f17105]) ).

tff(f17105,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X0),X1)))
    <=> ( zero_zero_nat = X1 ) ),
    inference(rectify,[],[f4480]) ).

tff(f4480,axiom,
    ! [X118: nat,X95: nat] :
      ( pp(aa_Pro2232559814647311250t_bool(unique6322359934112328802ux_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X118),X95)))
    <=> ( zero_zero_nat = X95 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4479_divides__aux__eq) ).

tff(f80433,plain,
    spl3933_491,
    inference(avatar_split_clause,[],[f71667,f80430]) ).

tff(f80430,plain,
    ( spl3933_491
  <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,one_one_real),one_one_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_491])]) ).

tff(f71667,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,one_one_real),one_one_real)),
    inference(forward_demodulation,[],[f62782,f39489]) ).

tff(f39489,plain,
    ! [X0: nat] : ( one_one_real = aa_nat_real(power_power_real(one_one_real),X0) ),
    inference(cnf_transformation,[],[f11157]) ).

tff(f11157,plain,
    ! [X0: nat] : ( one_one_real = aa_nat_real(power_power_real(one_one_real),X0) ),
    inference(rectify,[],[f1480]) ).

tff(f1480,axiom,
    ! [X28: nat] : ( one_one_real = aa_nat_real(power_power_real(one_one_real),X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1479_power__one) ).

tff(f62782,plain,
    ! [X0: nat] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,one_one_real),aa_nat_real(power_power_real(one_one_real),X0))),
    inference(equality_resolution,[],[f46430]) ).

tff(f46430,plain,
    ! [X0: nat,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,X1),aa_nat_real(power_power_real(X1),X0)))
      | ( one_one_real != X1 ) ),
    inference(cnf_transformation,[],[f24198]) ).

tff(f24198,plain,
    ! [X0: nat,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,X1),aa_nat_real(power_power_real(X1),X0)))
      | ( ( one_one_real != X1 )
        & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(ennf_transformation,[],[f16403]) ).

tff(f16403,plain,
    ! [X0: nat,X1: real] :
      ( ( ( one_one_real = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) )
     => pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,X1),aa_nat_real(power_power_real(X1),X0))) ),
    inference(rectify,[],[f5161]) ).

tff(f5161,axiom,
    ! [X28: nat,X18: real] :
      ( ( ( one_one_real = X18 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X28)) )
     => pp(aa_real_bool(aa_rea7809428808904475482l_bool(dvd_dvd_real,X18),aa_nat_real(power_power_real(X18),X28))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5160_dvd__power) ).

tff(f80428,plain,
    spl3933_490,
    inference(avatar_split_clause,[],[f71666,f80425]) ).

tff(f80425,plain,
    ( spl3933_490
  <=> pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,one_one_int),one_one_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_490])]) ).

tff(f71666,plain,
    pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,one_one_int),one_one_int)),
    inference(forward_demodulation,[],[f62781,f39487]) ).

tff(f39487,plain,
    ! [X0: nat] : ( one_one_int = aa_nat_int(power_power_int(one_one_int),X0) ),
    inference(cnf_transformation,[],[f11155]) ).

tff(f11155,plain,
    ! [X0: nat] : ( one_one_int = aa_nat_int(power_power_int(one_one_int),X0) ),
    inference(rectify,[],[f1481]) ).

tff(f1481,axiom,
    ! [X28: nat] : ( one_one_int = aa_nat_int(power_power_int(one_one_int),X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1480_power__one) ).

tff(f62781,plain,
    ! [X0: nat] : pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,one_one_int),aa_nat_int(power_power_int(one_one_int),X0))),
    inference(equality_resolution,[],[f46428]) ).

tff(f46428,plain,
    ! [X0: nat,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,X1),aa_nat_int(power_power_int(X1),X0)))
      | ( one_one_int != X1 ) ),
    inference(cnf_transformation,[],[f24197]) ).

tff(f24197,plain,
    ! [X0: nat,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,X1),aa_nat_int(power_power_int(X1),X0)))
      | ( ( one_one_int != X1 )
        & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(ennf_transformation,[],[f16402]) ).

tff(f16402,plain,
    ! [X0: nat,X1: int] :
      ( ( ( one_one_int = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) )
     => pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,X1),aa_nat_int(power_power_int(X1),X0))) ),
    inference(rectify,[],[f5162]) ).

tff(f5162,axiom,
    ! [X28: nat,X18: int] :
      ( ( ( one_one_int = X18 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X28)) )
     => pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,X18),aa_nat_int(power_power_int(X18),X28))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5161_dvd__power) ).

tff(f80423,plain,
    spl3933_489,
    inference(avatar_split_clause,[],[f71665,f80420]) ).

tff(f80420,plain,
    ( spl3933_489
  <=> pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,one_one_rat),one_one_rat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_489])]) ).

tff(f71665,plain,
    pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,one_one_rat),one_one_rat)),
    inference(forward_demodulation,[],[f62779,f39485]) ).

tff(f39485,plain,
    ! [X0: nat] : ( one_one_rat = aa_nat_rat(power_power_rat(one_one_rat),X0) ),
    inference(cnf_transformation,[],[f11153]) ).

tff(f11153,plain,
    ! [X0: nat] : ( one_one_rat = aa_nat_rat(power_power_rat(one_one_rat),X0) ),
    inference(rectify,[],[f1478]) ).

tff(f1478,axiom,
    ! [X28: nat] : ( one_one_rat = aa_nat_rat(power_power_rat(one_one_rat),X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1477_power__one) ).

tff(f62779,plain,
    ! [X0: nat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,one_one_rat),aa_nat_rat(power_power_rat(one_one_rat),X0))),
    inference(equality_resolution,[],[f46424]) ).

tff(f46424,plain,
    ! [X0: nat,X1: rat] :
      ( pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,X1),aa_nat_rat(power_power_rat(X1),X0)))
      | ( one_one_rat != X1 ) ),
    inference(cnf_transformation,[],[f24195]) ).

tff(f24195,plain,
    ! [X0: nat,X1: rat] :
      ( pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,X1),aa_nat_rat(power_power_rat(X1),X0)))
      | ( ( one_one_rat != X1 )
        & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(ennf_transformation,[],[f16400]) ).

tff(f16400,plain,
    ! [X0: nat,X1: rat] :
      ( ( ( one_one_rat = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) )
     => pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,X1),aa_nat_rat(power_power_rat(X1),X0))) ),
    inference(rectify,[],[f5159]) ).

tff(f5159,axiom,
    ! [X28: nat,X18: rat] :
      ( ( ( one_one_rat = X18 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X28)) )
     => pp(aa_rat_bool(aa_rat_fun_rat_bool(dvd_dvd_rat,X18),aa_nat_rat(power_power_rat(X18),X28))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5158_dvd__power) ).

tff(f80418,plain,
    spl3933_488,
    inference(avatar_split_clause,[],[f71664,f80415]) ).

tff(f80415,plain,
    ( spl3933_488
  <=> pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,one_one_complex),one_one_complex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_488])]) ).

tff(f71664,plain,
    pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,one_one_complex),one_one_complex)),
    inference(forward_demodulation,[],[f62778,f39474]) ).

tff(f39474,plain,
    ! [X0: nat] : ( one_one_complex = aa_nat_complex(power_power_complex(one_one_complex),X0) ),
    inference(cnf_transformation,[],[f11142]) ).

tff(f11142,plain,
    ! [X0: nat] : ( one_one_complex = aa_nat_complex(power_power_complex(one_one_complex),X0) ),
    inference(rectify,[],[f1482]) ).

tff(f1482,axiom,
    ! [X28: nat] : ( one_one_complex = aa_nat_complex(power_power_complex(one_one_complex),X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1481_power__one) ).

tff(f62778,plain,
    ! [X0: nat] : pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,one_one_complex),aa_nat_complex(power_power_complex(one_one_complex),X0))),
    inference(equality_resolution,[],[f46422]) ).

tff(f46422,plain,
    ! [X0: nat,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,X1),aa_nat_complex(power_power_complex(X1),X0)))
      | ( one_one_complex != X1 ) ),
    inference(cnf_transformation,[],[f24194]) ).

tff(f24194,plain,
    ! [X0: nat,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,X1),aa_nat_complex(power_power_complex(X1),X0)))
      | ( ( one_one_complex != X1 )
        & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
    inference(ennf_transformation,[],[f16399]) ).

tff(f16399,plain,
    ! [X0: nat,X1: complex] :
      ( ( ( one_one_complex = X1 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) )
     => pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,X1),aa_nat_complex(power_power_complex(X1),X0))) ),
    inference(rectify,[],[f5163]) ).

tff(f5163,axiom,
    ! [X28: nat,X18: complex] :
      ( ( ( one_one_complex = X18 )
        | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X28)) )
     => pp(aa_complex_bool(aa_com1553036987509291606x_bool(dvd_dvd_complex,X18),aa_nat_complex(power_power_complex(X18),X28))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5162_dvd__power) ).

tff(f80413,plain,
    spl3933_487,
    inference(avatar_split_clause,[],[f67126,f80410]) ).

tff(f80410,plain,
    ( spl3933_487
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,one_one_nat),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_487])]) ).

tff(f67126,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,one_one_nat),zero_zero_nat)),
    inference(forward_demodulation,[],[f62458,f38966]) ).

tff(f38966,plain,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    inference(cnf_transformation,[],[f3339]) ).

tff(f3339,axiom,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3338_One__nat__def) ).

tff(f62458,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),zero_zero_nat)),
    inference(equality_resolution,[],[f42007]) ).

tff(f42007,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),X0))
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f30544]) ).

tff(f30544,plain,
    ! [X0: nat] :
      ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),X0))
        | ( zero_zero_nat != X0 ) )
      & ( ( zero_zero_nat = X0 )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),X0)) ) ),
    inference(nnf_transformation,[],[f13178]) ).

tff(f13178,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),X0))
    <=> ( zero_zero_nat = X0 ) ),
    inference(rectify,[],[f7090]) ).

tff(f7090,axiom,
    ! [X28: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(bit_se1148574629649215175it_nat,aa_nat_nat(suc,zero_zero_nat)),X28))
    <=> ( zero_zero_nat = X28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7089_bit__Suc__0__iff) ).

tff(f80408,plain,
    spl3933_486,
    inference(avatar_split_clause,[],[f67082,f80405]) ).

tff(f80405,plain,
    ( spl3933_486
  <=> pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,zero_z3403309356797280102nteger),zero_z3403309356797280102nteger)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_486])]) ).

tff(f67082,plain,
    pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,zero_z3403309356797280102nteger),zero_z3403309356797280102nteger)),
    inference(forward_demodulation,[],[f62443,f38928]) ).

tff(f38928,plain,
    zero_z3403309356797280102nteger = abs_abs_Code_integer(zero_z3403309356797280102nteger),
    inference(cnf_transformation,[],[f6515]) ).

tff(f6515,axiom,
    zero_z3403309356797280102nteger = abs_abs_Code_integer(zero_z3403309356797280102nteger),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6514_abs__zero) ).

tff(f62443,plain,
    pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(zero_z3403309356797280102nteger)),zero_z3403309356797280102nteger)),
    inference(equality_resolution,[],[f41859]) ).

tff(f41859,plain,
    ! [X0: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(X0)),zero_z3403309356797280102nteger))
      | ( zero_z3403309356797280102nteger != X0 ) ),
    inference(cnf_transformation,[],[f30470]) ).

tff(f30470,plain,
    ! [X0: code_integer] :
      ( ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(X0)),zero_z3403309356797280102nteger))
        | ( zero_z3403309356797280102nteger != X0 ) )
      & ( ( zero_z3403309356797280102nteger = X0 )
        | ~ pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(X0)),zero_z3403309356797280102nteger)) ) ),
    inference(nnf_transformation,[],[f13104]) ).

tff(f13104,plain,
    ! [X0: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(X0)),zero_z3403309356797280102nteger))
    <=> ( zero_z3403309356797280102nteger = X0 ) ),
    inference(rectify,[],[f6539]) ).

tff(f6539,axiom,
    ! [X12: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le3102999989581377725nteger,abs_abs_Code_integer(X12)),zero_z3403309356797280102nteger))
    <=> ( zero_z3403309356797280102nteger = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6538_abs__le__zero__iff) ).

tff(f80403,plain,
    ~ spl3933_485,
    inference(avatar_split_clause,[],[f67081,f80400]) ).

tff(f80400,plain,
    ( spl3933_485
  <=> pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),zero_z3403309356797280102nteger)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_485])]) ).

tff(f67081,plain,
    ~ pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),zero_z3403309356797280102nteger)),
    inference(forward_demodulation,[],[f62442,f38928]) ).

tff(f62442,plain,
    ~ pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(zero_z3403309356797280102nteger))),
    inference(equality_resolution,[],[f41856]) ).

tff(f41856,plain,
    ! [X0: code_integer] :
      ( ( zero_z3403309356797280102nteger != X0 )
      | ~ pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(X0))) ),
    inference(cnf_transformation,[],[f30469]) ).

tff(f30469,plain,
    ! [X0: code_integer] :
      ( ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(X0)))
        | ( zero_z3403309356797280102nteger = X0 ) )
      & ( ( zero_z3403309356797280102nteger != X0 )
        | ~ pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(X0))) ) ),
    inference(nnf_transformation,[],[f13103]) ).

tff(f13103,plain,
    ! [X0: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(X0)))
    <=> ( zero_z3403309356797280102nteger != X0 ) ),
    inference(rectify,[],[f6543]) ).

tff(f6543,axiom,
    ! [X12: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(ord_le6747313008572928689nteger,zero_z3403309356797280102nteger),abs_abs_Code_integer(X12)))
    <=> ( zero_z3403309356797280102nteger != X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6542_zero__less__abs__iff) ).

tff(f80398,plain,
    spl3933_484,
    inference(avatar_split_clause,[],[f64883,f80396]) ).

tff(f80396,plain,
    ( spl3933_484
  <=> ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,one_one_nat),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_484])]) ).

tff(f64883,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,one_one_nat),X0)),
    inference(forward_demodulation,[],[f39908,f38966]) ).

tff(f39908,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,zero_zero_nat)),X0)),
    inference(cnf_transformation,[],[f11576]) ).

tff(f11576,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,zero_zero_nat)),X0)),
    inference(rectify,[],[f4976]) ).

tff(f4976,axiom,
    ! [X59: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,zero_zero_nat)),X59)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4975_dvd__1__left) ).

tff(f80394,plain,
    spl3933_483,
    inference(avatar_split_clause,[],[f64880,f80392]) ).

tff(f80392,plain,
    ( spl3933_483
  <=> ! [X0: real] : ( aa_real_real(divide_divide_real(X0),one_one_real) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_483])]) ).

tff(f64880,plain,
    ! [X0: real] : ( aa_real_real(divide_divide_real(X0),one_one_real) = X0 ),
    inference(forward_demodulation,[],[f39866,f38969]) ).

tff(f38969,plain,
    one_one_real = aa_num_real(numeral_numeral_real,one),
    inference(cnf_transformation,[],[f1401]) ).

tff(f1401,axiom,
    one_one_real = aa_num_real(numeral_numeral_real,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1400_numeral__One) ).

tff(f39866,plain,
    ! [X0: real] : ( aa_real_real(divide_divide_real(X0),aa_num_real(numeral_numeral_real,one)) = X0 ),
    inference(cnf_transformation,[],[f11534]) ).

tff(f11534,plain,
    ! [X0: real] : ( aa_real_real(divide_divide_real(X0),aa_num_real(numeral_numeral_real,one)) = X0 ),
    inference(rectify,[],[f2314]) ).

tff(f2314,axiom,
    ! [X12: real] : ( aa_real_real(divide_divide_real(X12),aa_num_real(numeral_numeral_real,one)) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2313_divide__numeral__1) ).

tff(f80390,plain,
    spl3933_482,
    inference(avatar_split_clause,[],[f64855,f80388]) ).

tff(f80388,plain,
    ( spl3933_482
  <=> ! [X0: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X0),one_one_complex) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_482])]) ).

tff(f64855,plain,
    ! [X0: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X0),one_one_complex) = X0 ),
    inference(forward_demodulation,[],[f58521,f58350]) ).

tff(f58350,plain,
    one_one_complex = aa_int_complex(ring_17405671764205052669omplex,aa_num_int(code_Target_positive,one)),
    inference(definition_unfolding,[],[f38931,f58345]) ).

tff(f58345,plain,
    ! [X0: num] : ( numera6690914467698888265omplex(X0) = aa_int_complex(ring_17405671764205052669omplex,aa_num_int(code_Target_positive,X0)) ),
    inference(definition_unfolding,[],[f39825,f38912]) ).

tff(f38912,plain,
    numeral_numeral_int = code_Target_positive,
    inference(cnf_transformation,[],[f9590]) ).

tff(f9590,axiom,
    numeral_numeral_int = code_Target_positive,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9589_Code__Target__Int_Opositive__def) ).

tff(f39825,plain,
    ! [X0: num] : ( numera6690914467698888265omplex(X0) = aa_int_complex(ring_17405671764205052669omplex,aa_num_int(numeral_numeral_int,X0)) ),
    inference(cnf_transformation,[],[f11493]) ).

tff(f11493,plain,
    ! [X0: num] : ( numera6690914467698888265omplex(X0) = aa_int_complex(ring_17405671764205052669omplex,aa_num_int(numeral_numeral_int,X0)) ),
    inference(rectify,[],[f6857]) ).

tff(f6857,axiom,
    ! [X59: num] : ( numera6690914467698888265omplex(X59) = aa_int_complex(ring_17405671764205052669omplex,aa_num_int(numeral_numeral_int,X59)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6856_of__int__numeral) ).

tff(f38931,plain,
    one_one_complex = numera6690914467698888265omplex(one),
    inference(cnf_transformation,[],[f1400]) ).

tff(f1400,axiom,
    one_one_complex = numera6690914467698888265omplex(one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1399_numeral__One) ).

tff(f58521,plain,
    ! [X0: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X0),aa_int_complex(ring_17405671764205052669omplex,aa_num_int(code_Target_positive,one))) = X0 ),
    inference(definition_unfolding,[],[f39694,f58345]) ).

tff(f39694,plain,
    ! [X0: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X0),numera6690914467698888265omplex(one)) = X0 ),
    inference(cnf_transformation,[],[f11362]) ).

tff(f11362,plain,
    ! [X0: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X0),numera6690914467698888265omplex(one)) = X0 ),
    inference(rectify,[],[f2313]) ).

tff(f2313,axiom,
    ! [X12: complex] : ( aa_complex_complex(divide1717551699836669952omplex(X12),numera6690914467698888265omplex(one)) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2312_divide__numeral__1) ).

tff(f80386,plain,
    spl3933_481,
    inference(avatar_split_clause,[],[f64702,f80383]) ).

tff(f80383,plain,
    ( spl3933_481
  <=> ( aa_real_real(arctan,one_one_real) = suminf_real(aTP_Lamm_ia) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_481])]) ).

tff(f64702,plain,
    aa_real_real(arctan,one_one_real) = suminf_real(aTP_Lamm_ia),
    inference(forward_demodulation,[],[f64701,f64682]) ).

tff(f64682,plain,
    suminf_real(aTP_Lamm_ia) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(inc,one)))),
    inference(forward_demodulation,[],[f39223,f39051]) ).

tff(f39223,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one)))) = suminf_real(aTP_Lamm_ia),
    inference(cnf_transformation,[],[f7628]) ).

tff(f7628,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one)))) = suminf_real(aTP_Lamm_ia),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7627_pi__series) ).

tff(f64701,plain,
    aa_real_real(arctan,one_one_real) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(inc,one)))),
    inference(forward_demodulation,[],[f39231,f39051]) ).

tff(f39231,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one)))) = aa_real_real(arctan,one_one_real),
    inference(cnf_transformation,[],[f7205]) ).

tff(f7205,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one)))) = aa_real_real(arctan,one_one_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7204_arctan__one) ).

tff(f80381,plain,
    spl3933_480,
    inference(avatar_split_clause,[],[f64693,f80378]) ).

tff(f80378,plain,
    ( spl3933_480
  <=> ( one_one_real = aa_real_real(tan_real,suminf_real(aTP_Lamm_ia)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_480])]) ).

tff(f64693,plain,
    one_one_real = aa_real_real(tan_real,suminf_real(aTP_Lamm_ia)),
    inference(forward_demodulation,[],[f64692,f64682]) ).

tff(f64692,plain,
    one_one_real = aa_real_real(tan_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(inc,one))))),
    inference(forward_demodulation,[],[f39227,f39051]) ).

tff(f39227,plain,
    one_one_real = aa_real_real(tan_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f7512]) ).

tff(f7512,axiom,
    one_one_real = aa_real_real(tan_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7511_tan__45) ).

tff(f80376,plain,
    ~ spl3933_479,
    inference(avatar_split_clause,[],[f64691,f80373]) ).

tff(f80373,plain,
    ( spl3933_479
  <=> ( aa_real_real(neg_numeral_dbl_real,one_one_real) = the_real(aTP_Lamm_vn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_479])]) ).

tff(f64691,plain,
    aa_real_real(neg_numeral_dbl_real,one_one_real) != the_real(aTP_Lamm_vn),
    inference(forward_demodulation,[],[f64690,f64579]) ).

tff(f64579,plain,
    the_real(aTP_Lamm_vn) = aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real)),
    inference(forward_demodulation,[],[f64578,f64484]) ).

tff(f64484,plain,
    aa_real_real(neg_numeral_dbl_real,one_one_real) = aa_num_real(numeral_numeral_real,aa_num_num(inc,one)),
    inference(forward_demodulation,[],[f39115,f39051]) ).

tff(f39115,plain,
    aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)) = aa_real_real(neg_numeral_dbl_real,one_one_real),
    inference(cnf_transformation,[],[f4956]) ).

tff(f4956,axiom,
    aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)) = aa_real_real(neg_numeral_dbl_real,one_one_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4955_dbl__simps_I3_J) ).

tff(f64578,plain,
    the_real(aTP_Lamm_vn) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39171,f39051]) ).

tff(f39171,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = the_real(aTP_Lamm_vn),
    inference(cnf_transformation,[],[f9452]) ).

tff(f9452,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = the_real(aTP_Lamm_vn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9451_pi__half) ).

tff(f64690,plain,
    aa_real_real(neg_numeral_dbl_real,one_one_real) != aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real)),
    inference(forward_demodulation,[],[f64689,f64484]) ).

tff(f64689,plain,
    aa_num_real(numeral_numeral_real,aa_num_num(inc,one)) != aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39226,f39051]) ).

tff(f39226,plain,
    aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)) != aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),
    inference(cnf_transformation,[],[f7185]) ).

tff(f7185,axiom,
    aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)) != aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7184_pi__half__neq__two) ).

tff(f80371,plain,
    spl3933_478,
    inference(avatar_split_clause,[],[f64632,f80368]) ).

tff(f80368,plain,
    ( spl3933_478
  <=> filterlim_real_real(arctan,topolo2815343760600316023s_real(the_real(aTP_Lamm_vn)),at_top_real) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_478])]) ).

tff(f64632,plain,
    filterlim_real_real(arctan,topolo2815343760600316023s_real(the_real(aTP_Lamm_vn)),at_top_real),
    inference(forward_demodulation,[],[f64631,f64579]) ).

tff(f64631,plain,
    filterlim_real_real(arctan,topolo2815343760600316023s_real(aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real))),at_top_real),
    inference(forward_demodulation,[],[f64630,f64484]) ).

tff(f64630,plain,
    filterlim_real_real(arctan,topolo2815343760600316023s_real(aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one)))),at_top_real),
    inference(forward_demodulation,[],[f39200,f39051]) ).

tff(f39200,plain,
    filterlim_real_real(arctan,topolo2815343760600316023s_real(aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),at_top_real),
    inference(cnf_transformation,[],[f9873]) ).

tff(f9873,axiom,
    filterlim_real_real(arctan,topolo2815343760600316023s_real(aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),at_top_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9872_tendsto__arctan__at__top) ).

tff(f80366,plain,
    spl3933_477,
    inference(avatar_split_clause,[],[f64621,f80363]) ).

tff(f80363,plain,
    ( spl3933_477
  <=> ( aa_real_real(arcsin,one_one_real) = the_real(aTP_Lamm_vn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_477])]) ).

tff(f64621,plain,
    aa_real_real(arcsin,one_one_real) = the_real(aTP_Lamm_vn),
    inference(forward_demodulation,[],[f64620,f64579]) ).

tff(f64620,plain,
    aa_real_real(arcsin,one_one_real) = aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real)),
    inference(forward_demodulation,[],[f64619,f64484]) ).

tff(f64619,plain,
    aa_real_real(arcsin,one_one_real) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39192,f39051]) ).

tff(f39192,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_real_real(arcsin,one_one_real),
    inference(cnf_transformation,[],[f7232]) ).

tff(f7232,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_real_real(arcsin,one_one_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7231_arcsin__1) ).

tff(f80361,plain,
    spl3933_476,
    inference(avatar_split_clause,[],[f64618,f80358]) ).

tff(f80358,plain,
    ( spl3933_476
  <=> ( aa_real_real(arccos,zero_zero_real) = the_real(aTP_Lamm_vn) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_476])]) ).

tff(f64618,plain,
    aa_real_real(arccos,zero_zero_real) = the_real(aTP_Lamm_vn),
    inference(forward_demodulation,[],[f64617,f64579]) ).

tff(f64617,plain,
    aa_real_real(arccos,zero_zero_real) = aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real)),
    inference(forward_demodulation,[],[f64616,f64484]) ).

tff(f64616,plain,
    aa_real_real(arccos,zero_zero_real) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39191,f39051]) ).

tff(f39191,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_real_real(arccos,zero_zero_real),
    inference(cnf_transformation,[],[f7409]) ).

tff(f7409,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_real_real(arccos,zero_zero_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7408_arccos__0) ).

tff(f80356,plain,
    spl3933_475,
    inference(avatar_split_clause,[],[f64615,f80353]) ).

tff(f80353,plain,
    ( spl3933_475
  <=> ( the_real(aTP_Lamm_vn) = aa_complex_real(arg,imaginary_unit) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_475])]) ).

tff(f64615,plain,
    the_real(aTP_Lamm_vn) = aa_complex_real(arg,imaginary_unit),
    inference(forward_demodulation,[],[f64614,f64579]) ).

tff(f64614,plain,
    aa_complex_real(arg,imaginary_unit) = aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real)),
    inference(forward_demodulation,[],[f64613,f64484]) ).

tff(f64613,plain,
    aa_complex_real(arg,imaginary_unit) = aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39190,f39051]) ).

tff(f39190,plain,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_complex_real(arg,imaginary_unit),
    inference(cnf_transformation,[],[f9516]) ).

tff(f9516,axiom,
    aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))) = aa_complex_real(arg,imaginary_unit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9515_Arg__ii) ).

tff(f80351,plain,
    spl3933_474,
    inference(avatar_split_clause,[],[f64594,f80348]) ).

tff(f80348,plain,
    ( spl3933_474
  <=> ( zero_zero_real = aa_real_real(cos_real,the_real(aTP_Lamm_vn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_474])]) ).

tff(f64594,plain,
    zero_zero_real = aa_real_real(cos_real,the_real(aTP_Lamm_vn)),
    inference(forward_demodulation,[],[f64593,f64579]) ).

tff(f64593,plain,
    zero_zero_real = aa_real_real(cos_real,aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real))),
    inference(forward_demodulation,[],[f64592,f64484]) ).

tff(f64592,plain,
    zero_zero_real = aa_real_real(cos_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one)))),
    inference(forward_demodulation,[],[f39179,f39051]) ).

tff(f39179,plain,
    zero_zero_real = aa_real_real(cos_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    inference(cnf_transformation,[],[f7406]) ).

tff(f7406,axiom,
    zero_zero_real = aa_real_real(cos_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7405_cos__pi__half) ).

tff(f80346,plain,
    spl3933_473,
    inference(avatar_split_clause,[],[f64587,f80343]) ).

tff(f80343,plain,
    ( spl3933_473
  <=> ( one_one_real = aa_real_real(sin_real,the_real(aTP_Lamm_vn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_473])]) ).

tff(f64587,plain,
    one_one_real = aa_real_real(sin_real,the_real(aTP_Lamm_vn)),
    inference(forward_demodulation,[],[f64586,f64579]) ).

tff(f64586,plain,
    one_one_real = aa_real_real(sin_real,aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real))),
    inference(forward_demodulation,[],[f64585,f64484]) ).

tff(f64585,plain,
    one_one_real = aa_real_real(sin_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one)))),
    inference(forward_demodulation,[],[f39176,f39051]) ).

tff(f39176,plain,
    one_one_real = aa_real_real(sin_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    inference(cnf_transformation,[],[f7230]) ).

tff(f7230,axiom,
    one_one_real = aa_real_real(sin_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7229_sin__pi__half) ).

tff(f80341,plain,
    spl3933_472,
    inference(avatar_split_clause,[],[f64582,f80338]) ).

tff(f80338,plain,
    ( spl3933_472
  <=> ( imaginary_unit = aa_real_complex(cis,the_real(aTP_Lamm_vn)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_472])]) ).

tff(f64582,plain,
    imaginary_unit = aa_real_complex(cis,the_real(aTP_Lamm_vn)),
    inference(forward_demodulation,[],[f64581,f64579]) ).

tff(f64581,plain,
    imaginary_unit = aa_real_complex(cis,aa_real_real(divide_divide_real(pi),aa_real_real(neg_numeral_dbl_real,one_one_real))),
    inference(forward_demodulation,[],[f64580,f64484]) ).

tff(f64580,plain,
    imaginary_unit = aa_real_complex(cis,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(inc,one)))),
    inference(forward_demodulation,[],[f39174,f39051]) ).

tff(f39174,plain,
    imaginary_unit = aa_real_complex(cis,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    inference(cnf_transformation,[],[f9508]) ).

tff(f9508,axiom,
    imaginary_unit = aa_real_complex(cis,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9507_cis__pi__half) ).

tff(f80336,plain,
    spl3933_471,
    inference(avatar_split_clause,[],[f64487,f80333]) ).

tff(f64487,plain,
    aa_nat_nat(suc,one_one_nat) = finite_card_bool(top_top_set_bool),
    inference(forward_demodulation,[],[f64486,f64469]) ).

tff(f64469,plain,
    finite_card_bool(top_top_set_bool) = aa_num_nat(numeral_numeral_nat,aa_num_num(inc,one)),
    inference(forward_demodulation,[],[f39077,f39051]) ).

tff(f39077,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = finite_card_bool(top_top_set_bool),
    inference(cnf_transformation,[],[f9773]) ).

tff(f9773,axiom,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = finite_card_bool(top_top_set_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9772_card__UNIV__bool) ).

tff(f64486,plain,
    aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(inc,one)),
    inference(forward_demodulation,[],[f39118,f39051]) ).

tff(f39118,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,one_one_nat),
    inference(cnf_transformation,[],[f870]) ).

tff(f870,axiom,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_869_Suc__1) ).

tff(f80331,plain,
    spl3933_470,
    inference(avatar_split_clause,[],[f64478,f80328]) ).

tff(f80328,plain,
    ( spl3933_470
  <=> ( zero_zero_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,quotient_of(zero_zero_rat)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_470])]) ).

tff(f64478,plain,
    zero_zero_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,quotient_of(zero_zero_rat)),
    inference(forward_demodulation,[],[f39103,f39072]) ).

tff(f39072,plain,
    quotient_of(zero_zero_rat) = aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,zero_zero_int),one_one_int),
    inference(cnf_transformation,[],[f9884]) ).

tff(f9884,axiom,
    quotient_of(zero_zero_rat) = aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,zero_zero_int),one_one_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9883_rat__zero__code) ).

tff(f39103,plain,
    zero_zero_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,zero_zero_int),one_one_int)),
    inference(cnf_transformation,[],[f10059]) ).

tff(f10059,axiom,
    zero_zero_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,zero_zero_int),one_one_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10058_zero__rat__def) ).

tff(f80326,plain,
    spl3933_469,
    inference(avatar_split_clause,[],[f64477,f80323]) ).

tff(f80323,plain,
    ( spl3933_469
  <=> ( one_one_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,quotient_of(one_one_rat)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_469])]) ).

tff(f64477,plain,
    one_one_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,quotient_of(one_one_rat)),
    inference(forward_demodulation,[],[f39098,f39071]) ).

tff(f39071,plain,
    quotient_of(one_one_rat) = aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,one_one_int),one_one_int),
    inference(cnf_transformation,[],[f9883]) ).

tff(f9883,axiom,
    quotient_of(one_one_rat) = aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,one_one_int),one_one_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9882_rat__one__code) ).

tff(f39098,plain,
    one_one_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,one_one_int),one_one_int)),
    inference(cnf_transformation,[],[f10061]) ).

tff(f10061,axiom,
    one_one_rat = aa_Pro6166618844887768661nt_rat(abs_Rat,aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,one_one_int),one_one_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10060_one__rat__def) ).

tff(f80321,plain,
    spl3933_468,
    inference(avatar_split_clause,[],[f64472,f80318]) ).

tff(f80318,plain,
    ( spl3933_468
  <=> ( sqrt = aa_nat_fun_real_real(root,finite_card_bool(top_top_set_bool)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_468])]) ).

tff(f64472,plain,
    sqrt = aa_nat_fun_real_real(root,finite_card_bool(top_top_set_bool)),
    inference(forward_demodulation,[],[f64471,f64469]) ).

tff(f64471,plain,
    sqrt = aa_nat_fun_real_real(root,aa_num_nat(numeral_numeral_nat,aa_num_num(inc,one))),
    inference(forward_demodulation,[],[f39094,f39051]) ).

tff(f39094,plain,
    sqrt = aa_nat_fun_real_real(root,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),
    inference(cnf_transformation,[],[f9531]) ).

tff(f9531,axiom,
    sqrt = aa_nat_fun_real_real(root,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9530_sqrt__def) ).

tff(f80316,plain,
    spl3933_467,
    inference(avatar_split_clause,[],[f64467,f80313]) ).

tff(f64467,plain,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(one_one_nat),
    inference(forward_demodulation,[],[f39073,f38966]) ).

tff(f39073,plain,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f3794]) ).

tff(f3794,axiom,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3793_vebt__buildup_Osimps_I2_J) ).

tff(f80311,plain,
    spl3933_466,
    inference(avatar_split_clause,[],[f64334,f80309]) ).

tff(f80309,plain,
    ( spl3933_466
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : ~ sP684(X0,X1,X3,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_466])]) ).

tff(f64334,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : ~ sP684(X0,X1,X3,X3,X4),
    inference(equality_resolution,[],[f58310]) ).

tff(f58310,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( ( X2 != X3 )
      | ~ sP684(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f38888]) ).

tff(f38888,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( ( sP683(X3,X2,X1,sK3929(X0,X1,X2,X3,X4),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK3929(X0,X1,X2,X3,X4))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK3929(X0,X1,X2,X3,X4) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3929(X0,X1,X2,X3,X4)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4)))
        & ( X2 != X3 ) )
      | ~ sP684(X0,X1,X2,X3,X4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3929])],[f38886,f38887]) ).

tff(f38887,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ? [X5: nat] :
          ( ( sP683(X3,X2,X1,X5,X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X5 ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) )
     => ( ( sP683(X3,X2,X1,sK3929(X0,X1,X2,X3,X4),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK3929(X0,X1,X2,X3,X4))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK3929(X0,X1,X2,X3,X4) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3929(X0,X1,X2,X3,X4)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) ) ),
    introduced(choice_axiom,[]) ).

tff(f38886,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( ? [X5: nat] :
            ( ( sP683(X3,X2,X1,X5,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X5 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) )
        & ( X2 != X3 ) )
      | ~ sP684(X0,X1,X2,X3,X4) ),
    inference(rectify,[],[f38885]) ).

tff(f38885,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X5: nat,X6: nat,X3: nat] :
      ( ( ? [X12: nat] :
            ( ( sP683(X6,X5,X1,X12,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X12)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X1) = X12 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X12),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
        & ( X5 != X6 ) )
      | ~ sP684(X0,X1,X5,X6,X3) ),
    inference(nnf_transformation,[],[f29557]) ).

tff(f29557,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X5: nat,X6: nat,X3: nat] :
      ( ( ? [X12: nat] :
            ( ( sP683(X6,X5,X1,X12,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X12)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X1) = X12 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X12),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
        & ( X5 != X6 ) )
      | ~ sP684(X0,X1,X5,X6,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP684])]) ).

tff(f80307,plain,
    spl3933_465,
    inference(avatar_split_clause,[],[f64329,f80305]) ).

tff(f80305,plain,
    ( spl3933_465
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : ~ sP680(X0,X1,X3,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_465])]) ).

tff(f64329,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : ~ sP680(X0,X1,X3,X3,X4),
    inference(equality_resolution,[],[f58295]) ).

tff(f58295,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( ( X2 != X3 )
      | ~ sP680(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f38867]) ).

tff(f38867,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( ( sP679(X3,X2,X1,sK3922(X0,X1,X2,X3,X4),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK3922(X0,X1,X2,X3,X4))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK3922(X0,X1,X2,X3,X4) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3922(X0,X1,X2,X3,X4)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4)))
        & ( X2 != X3 ) )
      | ~ sP680(X0,X1,X2,X3,X4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3922])],[f38865,f38866]) ).

tff(f38866,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ? [X5: nat] :
          ( ( sP679(X3,X2,X1,X5,X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X5 ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) )
     => ( ( sP679(X3,X2,X1,sK3922(X0,X1,X2,X3,X4),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK3922(X0,X1,X2,X3,X4))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK3922(X0,X1,X2,X3,X4) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3922(X0,X1,X2,X3,X4)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) ) ),
    introduced(choice_axiom,[]) ).

tff(f38865,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( ? [X5: nat] :
            ( ( sP679(X3,X2,X1,X5,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X5 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X4))) )
        & ( X2 != X3 ) )
      | ~ sP680(X0,X1,X2,X3,X4) ),
    inference(rectify,[],[f38864]) ).

tff(f38864,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X5: nat,X6: nat,X3: nat] :
      ( ( ? [X12: nat] :
            ( ( sP679(X6,X5,X1,X12,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X12)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X1) = X12 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X12),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
        & ( X5 != X6 ) )
      | ~ sP680(X0,X1,X5,X6,X3) ),
    inference(nnf_transformation,[],[f29552]) ).

tff(f29552,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X5: nat,X6: nat,X3: nat] :
      ( ( ? [X12: nat] :
            ( ( sP679(X6,X5,X1,X12,X0)
              | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X12)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X1)))
                & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X1) = X12 ) ) )
            & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X12),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
        & ( X5 != X6 ) )
      | ~ sP680(X0,X1,X5,X6,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP680])]) ).

tff(f80303,plain,
    spl3933_464,
    inference(avatar_split_clause,[],[f64321,f80301]) ).

tff(f80301,plain,
    ( spl3933_464
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP675(X0,X1,X4,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_464])]) ).

tff(f64321,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : sP675(X0,X1,X4,X3,X4),
    inference(equality_resolution,[],[f58259]) ).

tff(f58259,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( sP675(X0,X1,X2,X3,X4)
      | ( X2 != X4 ) ),
    inference(cnf_transformation,[],[f38837]) ).

tff(f38837,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( sP675(X0,X1,X2,X3,X4)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
          & ( X2 != X3 )
          & ( X2 != X4 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
        | ( X2 = X3 )
        | ( X2 = X4 )
        | ~ sP675(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f38836]) ).

tff(f38836,plain,
    ! [X3: list_VEBT_VEBT,X2: nat,X5: nat,X1: nat,X0: nat] :
      ( ( sP675(X3,X2,X5,X1,X0)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X3,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),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,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3))) ) )
          & ( X1 != X5 )
          & ( X0 != X5 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X3,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),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,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3))) ) )
        | ( X1 = X5 )
        | ( X0 = X5 )
        | ~ sP675(X3,X2,X5,X1,X0) ) ),
    inference(flattening,[],[f38835]) ).

tff(f38835,plain,
    ! [X3: list_VEBT_VEBT,X2: nat,X5: nat,X1: nat,X0: nat] :
      ( ( sP675(X3,X2,X5,X1,X0)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X3,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),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,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3))) ) )
          & ( X1 != X5 )
          & ( X0 != X5 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X3,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),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,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3))) ) )
        | ( X1 = X5 )
        | ( X0 = X5 )
        | ~ sP675(X3,X2,X5,X1,X0) ) ),
    inference(nnf_transformation,[],[f29544]) ).

tff(f29544,plain,
    ! [X3: list_VEBT_VEBT,X2: nat,X5: nat,X1: nat,X0: nat] :
      ( sP675(X3,X2,X5,X1,X0)
    <=> ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X3,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),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,X5),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X2)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X3))) ) )
        | ( X1 = X5 )
        | ( X0 = X5 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP675])]) ).

tff(f80299,plain,
    spl3933_463,
    inference(avatar_split_clause,[],[f64320,f80297]) ).

tff(f80297,plain,
    ( spl3933_463
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP675(X0,X1,X3,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_463])]) ).

tff(f64320,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : sP675(X0,X1,X3,X3,X4),
    inference(equality_resolution,[],[f58260]) ).

tff(f58260,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( sP675(X0,X1,X2,X3,X4)
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f38837]) ).

tff(f80295,plain,
    spl3933_462,
    inference(avatar_split_clause,[],[f63573,f80293]) ).

tff(f80293,plain,
    ( spl3933_462
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : ~ sP397(X0,X1,X4,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_462])]) ).

tff(f63573,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : ~ sP397(X0,X1,X4,X3,X4),
    inference(equality_resolution,[],[f53251]) ).

tff(f53251,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( ( X2 != X4 )
      | ~ sP397(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f35589]) ).

tff(f35589,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( sP397(X0,X1,X2,X3,X4)
        | ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
        | ( X2 = X3 )
        | ( X2 = X4 ) )
      & ( ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
          & ( X2 != X3 )
          & ( X2 != X4 ) )
        | ~ sP397(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f35588]) ).

tff(f35588,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( ( sP397(X14,X13,X1,X12,X11)
        | ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        | ( X1 = X12 )
        | ( X1 = X11 ) )
      & ( ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
          & ( X1 != X12 )
          & ( X1 != X11 ) )
        | ~ sP397(X14,X13,X1,X12,X11) ) ),
    inference(flattening,[],[f35587]) ).

tff(f35587,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( ( sP397(X14,X13,X1,X12,X11)
        | ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        | ( X1 = X12 )
        | ( X1 = X11 ) )
      & ( ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
          & ( X1 != X12 )
          & ( X1 != X11 ) )
        | ~ sP397(X14,X13,X1,X12,X11) ) ),
    inference(nnf_transformation,[],[f29068]) ).

tff(f29068,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( sP397(X14,X13,X1,X12,X11)
    <=> ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        & ( X1 != X12 )
        & ( X1 != X11 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP397])]) ).

tff(f80291,plain,
    spl3933_461,
    inference(avatar_split_clause,[],[f63572,f80289]) ).

tff(f80289,plain,
    ( spl3933_461
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : ~ sP397(X0,X1,X3,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_461])]) ).

tff(f63572,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : ~ sP397(X0,X1,X3,X3,X4),
    inference(equality_resolution,[],[f53252]) ).

tff(f53252,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( ( X2 != X3 )
      | ~ sP397(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f35589]) ).

tff(f80287,plain,
    spl3933_460,
    inference(avatar_split_clause,[],[f63569,f80285]) ).

tff(f80285,plain,
    ( spl3933_460
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP389(X0,X1,X4,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_460])]) ).

tff(f63569,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : sP389(X0,X1,X4,X3,X4),
    inference(equality_resolution,[],[f53226]) ).

tff(f53226,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( sP389(X0,X1,X2,X3,X4)
      | ( X2 != X4 ) ),
    inference(cnf_transformation,[],[f35561]) ).

tff(f35561,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( sP389(X0,X1,X2,X3,X4)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
          & ( X2 != X3 )
          & ( X2 != X4 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X0,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),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,X2),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X1)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X0))) ) )
        | ( X2 = X3 )
        | ( X2 = X4 )
        | ~ sP389(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f35560]) ).

tff(f35560,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( ( sP389(X14,X13,X1,X12,X11)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
          & ( X1 != X12 )
          & ( X1 != X11 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        | ( X1 = X12 )
        | ( X1 = X11 )
        | ~ sP389(X14,X13,X1,X12,X11) ) ),
    inference(flattening,[],[f35559]) ).

tff(f35559,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( ( sP389(X14,X13,X1,X12,X11)
        | ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
            | ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
          & ( X1 != X12 )
          & ( X1 != X11 ) ) )
      & ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        | ( X1 = X12 )
        | ( X1 = X11 )
        | ~ sP389(X14,X13,X1,X12,X11) ) ),
    inference(nnf_transformation,[],[f29059]) ).

tff(f29059,plain,
    ! [X14: list_VEBT_VEBT,X13: nat,X1: nat,X12: nat,X11: nat] :
      ( sP389(X14,X13,X1,X12,X11)
    <=> ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14)))
          & ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(X14,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),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,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,X13)),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X14))) ) )
        | ( X1 = X12 )
        | ( X1 = X11 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP389])]) ).

tff(f80283,plain,
    spl3933_459,
    inference(avatar_split_clause,[],[f63568,f80281]) ).

tff(f80281,plain,
    ( spl3933_459
  <=> ! [X4: nat,X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP389(X0,X1,X3,X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_459])]) ).

tff(f63568,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] : sP389(X0,X1,X3,X3,X4),
    inference(equality_resolution,[],[f53227]) ).

tff(f53227,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat,X4: nat] :
      ( sP389(X0,X1,X2,X3,X4)
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f35561]) ).

tff(f80279,plain,
    spl3933_458,
    inference(avatar_split_clause,[],[f63565,f80277]) ).

tff(f80277,plain,
    ( spl3933_458
  <=> ! [X2: vEBT_VEBT,X1: bool] :
        ( pp(X1)
        | ~ sP387(one_one_nat,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_458])]) ).

tff(f63565,plain,
    ! [X2: vEBT_VEBT,X1: bool] :
      ( pp(X1)
      | ~ sP387(one_one_nat,X1,X2) ),
    inference(equality_resolution,[],[f53188]) ).

tff(f53188,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | pp(X1)
      | ~ sP387(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35522]) ).

tff(f35522,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( ( ( one_one_nat = X0 )
          | ~ pp(X1) )
        & ( ( one_one_nat != X0 )
          | pp(X1) )
        & ( vEBT_Leaf(sK2941(X2),sK2942(X2)) = X2 ) )
      | ~ sP387(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2941,sK2942])],[f35520,f35521]) ).

tff(f35521,plain,
    ! [X2: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X2 )
     => ( vEBT_Leaf(sK2941(X2),sK2942(X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

tff(f35520,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( ( ( one_one_nat = X0 )
          | ~ pp(X1) )
        & ( ( one_one_nat != X0 )
          | pp(X1) )
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X2 ) )
      | ~ sP387(X0,X1,X2) ),
    inference(rectify,[],[f35519]) ).

tff(f35519,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ( ( ( one_one_nat = X1 )
          | ~ pp(X2) )
        & ( ( one_one_nat != X1 )
          | pp(X2) )
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP387(X1,X2,X0) ),
    inference(flattening,[],[f35518]) ).

tff(f35518,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ( ( ( one_one_nat = X1 )
          | ~ pp(X2) )
        & ( ( one_one_nat != X1 )
          | pp(X2) )
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP387(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29056]) ).

tff(f29056,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ( ( pp(X2)
        <~> ( one_one_nat != X1 ) )
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP387(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP387])]) ).

tff(f80275,plain,
    spl3933_457,
    inference(avatar_split_clause,[],[f63562,f80273]) ).

tff(f80273,plain,
    ( spl3933_457
  <=> ! [X2: vEBT_VEBT,X1: bool] :
        ( pp(X1)
        | ~ sP383(one_one_nat,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_457])]) ).

tff(f63562,plain,
    ! [X2: vEBT_VEBT,X1: bool] :
      ( pp(X1)
      | ~ sP383(one_one_nat,X1,X2) ),
    inference(equality_resolution,[],[f53174]) ).

tff(f53174,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( pp(X1)
      | ( one_one_nat != X0 )
      | ~ sP383(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35509]) ).

tff(f35509,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(sK2938(X0,X1,X2),sK2939(X0,X1,X2)),X0))
        & ( pp(X1)
          | ( one_one_nat != X0 ) )
        & ( ( one_one_nat = X0 )
          | ~ pp(X1) )
        & ( vEBT_Leaf(sK2938(X0,X1,X2),sK2939(X0,X1,X2)) = X2 ) )
      | ~ sP383(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2938,sK2939])],[f35507,f35508]) ).

tff(f35508,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X0))
          & ( pp(X1)
            | ( one_one_nat != X0 ) )
          & ( ( one_one_nat = X0 )
            | ~ pp(X1) )
          & ( vEBT_Leaf(X3,X4) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(sK2938(X0,X1,X2),sK2939(X0,X1,X2)),X0))
        & ( pp(X1)
          | ( one_one_nat != X0 ) )
        & ( ( one_one_nat = X0 )
          | ~ pp(X1) )
        & ( vEBT_Leaf(sK2938(X0,X1,X2),sK2939(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35507,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X0))
          & ( pp(X1)
            | ( one_one_nat != X0 ) )
          & ( ( one_one_nat = X0 )
            | ~ pp(X1) )
          & ( vEBT_Leaf(X3,X4) = X2 ) )
      | ~ sP383(X0,X1,X2) ),
    inference(rectify,[],[f35506]) ).

tff(f35506,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X1))
          & ( pp(X2)
            | ( one_one_nat != X1 ) )
          & ( ( one_one_nat = X1 )
            | ~ pp(X2) )
          & ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP383(X1,X2,X0) ),
    inference(flattening,[],[f35505]) ).

tff(f35505,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X1))
          & ( pp(X2)
            | ( one_one_nat != X1 ) )
          & ( ( one_one_nat = X1 )
            | ~ pp(X2) )
          & ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP383(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29051]) ).

tff(f29051,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_VEBT_valid_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X1))
          & ( pp(X2)
          <=> ( one_one_nat = X1 ) )
          & ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP383(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP383])]) ).

tff(f80271,plain,
    spl3933_456,
    inference(avatar_split_clause,[],[f63072,f80269]) ).

tff(f80269,plain,
    ( spl3933_456
  <=> ! [X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_456])]) ).

tff(f63072,plain,
    ! [X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X1),X1)),
    inference(equality_resolution,[],[f47923]) ).

tff(f47923,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f33040]) ).

tff(f33040,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X0),X1)) ) ),
    inference(nnf_transformation,[],[f16974]) ).

tff(f16974,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10393]) ).

tff(f10393,axiom,
    ! [X93: nat,X269: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_ap,X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10392_ATP_Olambda__187) ).

tff(f80267,plain,
    spl3933_455,
    inference(avatar_split_clause,[],[f63068,f80265]) ).

tff(f80265,plain,
    ( spl3933_455
  <=> ! [X1: real] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_455])]) ).

tff(f63068,plain,
    ! [X1: real] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X1)),
    inference(equality_resolution,[],[f47905]) ).

tff(f47905,plain,
    ! [X0: real,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f33030]) ).

tff(f33030,plain,
    ! [X0: real,X1: real] :
      ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
        | ( ( X0 != X1 )
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X1)) ) )
      & ( ( X0 = X1 )
        | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X1))
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) ) ),
    inference(flattening,[],[f33029]) ).

tff(f33029,plain,
    ! [X0: real,X1: real] :
      ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
        | ( ( X0 != X1 )
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X1)) ) )
      & ( ( X0 = X1 )
        | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X1))
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) ) ),
    inference(nnf_transformation,[],[f16965]) ).

tff(f16965,plain,
    ! [X0: real,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
    <=> ( ( X0 = X1 )
        | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X1)) ) ),
    inference(rectify,[],[f1268]) ).

tff(f1268,axiom,
    ! [X12: real,X13: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X12),X13))
    <=> ( ( X12 = X13 )
        | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X12),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1267_order_Oorder__iff__strict) ).

tff(f80263,plain,
    spl3933_454,
    inference(avatar_split_clause,[],[f63048,f80261]) ).

tff(f80261,plain,
    ( spl3933_454
  <=> ! [X1: int] : pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_454])]) ).

tff(f63048,plain,
    ! [X1: int] : pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X1),X1)),
    inference(equality_resolution,[],[f47750]) ).

tff(f47750,plain,
    ! [X0: int,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32937]) ).

tff(f32937,plain,
    ! [X0: int,X1: int] :
      ( ( pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X0),X1)) ) ),
    inference(nnf_transformation,[],[f16902]) ).

tff(f16902,plain,
    ! [X0: int,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10394]) ).

tff(f10394,axiom,
    ! [X93: int,X269: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(aTP_Lamm_aq,X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10393_ATP_Olambda__188) ).

tff(f80259,plain,
    spl3933_453,
    inference(avatar_split_clause,[],[f63036,f80257]) ).

tff(f80257,plain,
    ( spl3933_453
  <=> ! [X1: complex] : pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_453])]) ).

tff(f63036,plain,
    ! [X1: complex] : pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X1),X1)),
    inference(equality_resolution,[],[f47593]) ).

tff(f47593,plain,
    ! [X0: complex,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32822]) ).

tff(f32822,plain,
    ! [X0: complex,X1: complex] :
      ( ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X0),X1)) ) ),
    inference(nnf_transformation,[],[f16840]) ).

tff(f16840,plain,
    ! [X0: complex,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10389]) ).

tff(f10389,axiom,
    ! [X93: complex,X269: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(aTP_Lamm_ak,X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10388_ATP_Olambda__183) ).

tff(f80255,plain,
    spl3933_452,
    inference(avatar_split_clause,[],[f63034,f80253]) ).

tff(f80253,plain,
    ( spl3933_452
  <=> ! [X1: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_452])]) ).

tff(f63034,plain,
    ! [X1: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X1),X1)),
    inference(equality_resolution,[],[f47589]) ).

tff(f47589,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32820]) ).

tff(f32820,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X0),X1)) ) ),
    inference(nnf_transformation,[],[f16838]) ).

tff(f16838,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10388]) ).

tff(f10388,axiom,
    ! [X93: product_prod_nat_nat,X269: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(aTP_Lamm_an,X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10387_ATP_Olambda__182) ).

tff(f80251,plain,
    spl3933_451,
    inference(avatar_split_clause,[],[f62589,f80249]) ).

tff(f80249,plain,
    ( spl3933_451
  <=> ! [X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_451])]) ).

tff(f62589,plain,
    ! [X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,X1),X1)),
    inference(equality_resolution,[],[f44198]) ).

tff(f44198,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15034]) ).

tff(f15034,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10910]) ).

tff(f10910,axiom,
    ! [X18: nat,X21: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Nat__Onat_T) ).

tff(f80247,plain,
    spl3933_450,
    inference(avatar_split_clause,[],[f62588,f80245]) ).

tff(f80245,plain,
    ( spl3933_450
  <=> ! [X1: real] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(fequal_real,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_450])]) ).

tff(f62588,plain,
    ! [X1: real] : pp(aa_real_bool(aa_rea7809428808904475482l_bool(fequal_real,X1),X1)),
    inference(equality_resolution,[],[f44197]) ).

tff(f44197,plain,
    ! [X0: real,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(fequal_real,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15033]) ).

tff(f15033,plain,
    ! [X0: real,X1: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(fequal_real,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10916]) ).

tff(f10916,axiom,
    ! [X18: real,X21: real] :
      ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(fequal_real,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Real__Oreal_T) ).

tff(f80243,plain,
    spl3933_449,
    inference(avatar_split_clause,[],[f62587,f80241]) ).

tff(f80241,plain,
    ( spl3933_449
  <=> ! [X1: int] : pp(aa_int_bool(aa_int_fun_int_bool(fequal_int,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_449])]) ).

tff(f62587,plain,
    ! [X1: int] : pp(aa_int_bool(aa_int_fun_int_bool(fequal_int,X1),X1)),
    inference(equality_resolution,[],[f44196]) ).

tff(f44196,plain,
    ! [X0: int,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(fequal_int,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15032]) ).

tff(f15032,plain,
    ! [X0: int,X1: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(fequal_int,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10908]) ).

tff(f10908,axiom,
    ! [X18: int,X21: int] :
      ( pp(aa_int_bool(aa_int_fun_int_bool(fequal_int,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Int__Oint_T) ).

tff(f80239,plain,
    spl3933_448,
    inference(avatar_split_clause,[],[f62586,f80237]) ).

tff(f80237,plain,
    ( spl3933_448
  <=> ! [X1: num] : pp(aa_num_bool(aa_num_fun_num_bool(fequal_num,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_448])]) ).

tff(f62586,plain,
    ! [X1: num] : pp(aa_num_bool(aa_num_fun_num_bool(fequal_num,X1),X1)),
    inference(equality_resolution,[],[f44195]) ).

tff(f44195,plain,
    ! [X0: num,X1: num] :
      ( pp(aa_num_bool(aa_num_fun_num_bool(fequal_num,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15031]) ).

tff(f15031,plain,
    ! [X0: num,X1: num] :
      ( pp(aa_num_bool(aa_num_fun_num_bool(fequal_num,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10912]) ).

tff(f10912,axiom,
    ! [X18: num,X21: num] :
      ( pp(aa_num_bool(aa_num_fun_num_bool(fequal_num,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Num__Onum_T) ).

tff(f80235,plain,
    spl3933_447,
    inference(avatar_split_clause,[],[f62585,f80233]) ).

tff(f80233,plain,
    ( spl3933_447
  <=> ! [X1: code_integer] : pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(fequal_Code_integer,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_447])]) ).

tff(f62585,plain,
    ! [X1: code_integer] : pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(fequal_Code_integer,X1),X1)),
    inference(equality_resolution,[],[f44194]) ).

tff(f44194,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(fequal_Code_integer,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15030]) ).

tff(f15030,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(fequal_Code_integer,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10927]) ).

tff(f10927,axiom,
    ! [X18: code_integer,X21: code_integer] :
      ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(fequal_Code_integer,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Code____Numeral__Ointeger_T) ).

tff(f80231,plain,
    spl3933_446,
    inference(avatar_split_clause,[],[f62584,f80229]) ).

tff(f80229,plain,
    ( spl3933_446
  <=> ! [X1: bool] : pp(aa_bool_bool(aa_boo8970175072276269406l_bool(fequal_bool,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_446])]) ).

tff(f62584,plain,
    ! [X1: bool] : pp(aa_bool_bool(aa_boo8970175072276269406l_bool(fequal_bool,X1),X1)),
    inference(equality_resolution,[],[f44193]) ).

tff(f44193,plain,
    ! [X0: bool,X1: bool] :
      ( pp(aa_bool_bool(aa_boo8970175072276269406l_bool(fequal_bool,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15029]) ).

tff(f15029,plain,
    ! [X0: bool,X1: bool] :
      ( pp(aa_bool_bool(aa_boo8970175072276269406l_bool(fequal_bool,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10914]) ).

tff(f10914,axiom,
    ! [X18: bool,X21: bool] :
      ( pp(aa_bool_bool(aa_boo8970175072276269406l_bool(fequal_bool,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__HOL__Obool_T) ).

tff(f80227,plain,
    spl3933_445,
    inference(avatar_split_clause,[],[f62583,f80225]) ).

tff(f80225,plain,
    ( spl3933_445
  <=> ! [X1: complex] : pp(aa_complex_bool(aa_com1553036987509291606x_bool(fequal_complex,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_445])]) ).

tff(f62583,plain,
    ! [X1: complex] : pp(aa_complex_bool(aa_com1553036987509291606x_bool(fequal_complex,X1),X1)),
    inference(equality_resolution,[],[f44192]) ).

tff(f44192,plain,
    ! [X0: complex,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(fequal_complex,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15028]) ).

tff(f15028,plain,
    ! [X0: complex,X1: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(fequal_complex,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10920]) ).

tff(f10920,axiom,
    ! [X18: complex,X21: complex] :
      ( pp(aa_complex_bool(aa_com1553036987509291606x_bool(fequal_complex,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Complex__Ocomplex_T) ).

tff(f80223,plain,
    spl3933_444,
    inference(avatar_split_clause,[],[f62582,f80221]) ).

tff(f80221,plain,
    ( spl3933_444
  <=> ! [X1: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(fequal9188845342289841878at_nat,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_444])]) ).

tff(f62582,plain,
    ! [X1: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(fequal9188845342289841878at_nat,X1),X1)),
    inference(equality_resolution,[],[f44191]) ).

tff(f44191,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(fequal9188845342289841878at_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15027]) ).

tff(f15027,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(fequal9188845342289841878at_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10943]) ).

tff(f10943,axiom,
    ! [X18: product_prod_nat_nat,X21: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aa_Pro595088089689268830t_bool(fequal9188845342289841878at_nat,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_T) ).

tff(f80219,plain,
    spl3933_443,
    inference(avatar_split_clause,[],[f62581,f80217]) ).

tff(f80217,plain,
    ( spl3933_443
  <=> ! [X1: option_nat] : pp(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_443])]) ).

tff(f62581,plain,
    ! [X1: option_nat] : pp(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,X1),X1)),
    inference(equality_resolution,[],[f44190]) ).

tff(f44190,plain,
    ! [X0: option_nat,X1: option_nat] :
      ( pp(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15026]) ).

tff(f15026,plain,
    ! [X0: option_nat,X1: option_nat] :
      ( pp(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10937]) ).

tff(f10937,axiom,
    ! [X18: option_nat,X21: option_nat] :
      ( pp(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Option__Ooption_It__Nat__Onat_J_T) ).

tff(f80215,plain,
    spl3933_442,
    inference(avatar_split_clause,[],[f62547,f80213]) ).

tff(f80211,plain,
    spl3933_441,
    inference(avatar_split_clause,[],[f62546,f80209]) ).

tff(f80209,plain,
    ( spl3933_441
  <=> ! [X1: int] : ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(zero_zero_nat),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_441])]) ).

tff(f62546,plain,
    ! [X1: int] : ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(zero_zero_nat),X1) ),
    inference(equality_resolution,[],[f43959]) ).

tff(f43959,plain,
    ! [X0: nat,X1: int] :
      ( ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(X0),X1) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22238]) ).

tff(f22238,plain,
    ! [X0: nat,X1: int] :
      ( ( ( aa_int_int(bit_se2923211474154528505it_int(X0),X1) = aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_int_int(bit_se2923211474154528505it_int(aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),aa_int_int(aa_int_fun_int_int(divide_divide_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))) )
        | ( zero_zero_nat = X0 ) )
      & ( ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(X0),X1) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14917]) ).

tff(f14917,plain,
    ! [X0: nat,X1: int] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_int_int(bit_se2923211474154528505it_int(X0),X1) = aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_int_int(bit_se2923211474154528505it_int(aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),aa_int_int(aa_int_fun_int_int(divide_divide_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))) ) )
      & ( ( zero_zero_nat = X0 )
       => ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(X0),X1) ) ) ),
    inference(rectify,[],[f5369]) ).

tff(f5369,axiom,
    ! [X28: nat,X12: int] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_int_int(bit_se2923211474154528505it_int(X28),X12) = aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_int_int(bit_se2923211474154528505it_int(aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X28),one_one_nat)),aa_int_int(aa_int_fun_int_int(divide_divide_int,X12),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X12),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))) ) )
      & ( ( zero_zero_nat = X28 )
       => ( zero_zero_int = aa_int_int(bit_se2923211474154528505it_int(X28),X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5368_take__bit__rec) ).

tff(f80207,plain,
    spl3933_440,
    inference(avatar_split_clause,[],[f62544,f80205]) ).

tff(f80205,plain,
    ( spl3933_440
  <=> ! [X1: real] : ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X1),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_440])]) ).

tff(f62544,plain,
    ! [X1: real] : ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X1),zero_zero_nat) ),
    inference(equality_resolution,[],[f43955]) ).

tff(f43955,plain,
    ! [X0: nat,X1: real] :
      ( ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X1),X0) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22236]) ).

tff(f22236,plain,
    ! [X0: nat,X1: real] :
      ( ( ( aa_nat_real(comm_s7457072308508201937r_real(X1),X0) = aa_real_real(aa_nat_fun_real_real(set_fo3111899725591712190t_real(aTP_Lamm_pv(X1),zero_zero_nat),aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_real) )
        | ( zero_zero_nat = X0 ) )
      & ( ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X1),X0) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14915]) ).

tff(f14915,plain,
    ! [X0: nat,X1: real] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_nat_real(comm_s7457072308508201937r_real(X1),X0) = aa_real_real(aa_nat_fun_real_real(set_fo3111899725591712190t_real(aTP_Lamm_pv(X1),zero_zero_nat),aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_real) ) )
      & ( ( zero_zero_nat = X0 )
       => ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X1),X0) ) ) ),
    inference(rectify,[],[f8898]) ).

tff(f8898,axiom,
    ! [X28: nat,X12: real] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_nat_real(comm_s7457072308508201937r_real(X12),X28) = aa_real_real(aa_nat_fun_real_real(set_fo3111899725591712190t_real(aTP_Lamm_pv(X12),zero_zero_nat),aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X28),one_one_nat)),one_one_real) ) )
      & ( ( zero_zero_nat = X28 )
       => ( one_one_real = aa_nat_real(comm_s7457072308508201937r_real(X12),X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8897_pochhammer__code) ).

tff(f80203,plain,
    spl3933_439,
    inference(avatar_split_clause,[],[f62542,f80201]) ).

tff(f80201,plain,
    ( spl3933_439
  <=> ! [X1: int] : ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X1),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_439])]) ).

tff(f62542,plain,
    ! [X1: int] : ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X1),zero_zero_nat) ),
    inference(equality_resolution,[],[f43951]) ).

tff(f43951,plain,
    ! [X0: nat,X1: int] :
      ( ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X1),X0) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22234]) ).

tff(f22234,plain,
    ! [X0: nat,X1: int] :
      ( ( ( aa_nat_int(comm_s4660882817536571857er_int(X1),X0) = aa_int_int(set_fo2581907887559384638at_int(aTP_Lamm_pw(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_int) )
        | ( zero_zero_nat = X0 ) )
      & ( ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X1),X0) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14913]) ).

tff(f14913,plain,
    ! [X0: nat,X1: int] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_nat_int(comm_s4660882817536571857er_int(X1),X0) = aa_int_int(set_fo2581907887559384638at_int(aTP_Lamm_pw(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_int) ) )
      & ( ( zero_zero_nat = X0 )
       => ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X1),X0) ) ) ),
    inference(rectify,[],[f8899]) ).

tff(f8899,axiom,
    ! [X28: nat,X12: int] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_nat_int(comm_s4660882817536571857er_int(X12),X28) = aa_int_int(set_fo2581907887559384638at_int(aTP_Lamm_pw(X12),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X28),one_one_nat)),one_one_int) ) )
      & ( ( zero_zero_nat = X28 )
       => ( one_one_int = aa_nat_int(comm_s4660882817536571857er_int(X12),X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8898_pochhammer__code) ).

tff(f80199,plain,
    spl3933_438,
    inference(avatar_split_clause,[],[f62540,f80197]) ).

tff(f80197,plain,
    ( spl3933_438
  <=> ! [X1: rat] : ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X1),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_438])]) ).

tff(f62540,plain,
    ! [X1: rat] : ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X1),zero_zero_nat) ),
    inference(equality_resolution,[],[f43947]) ).

tff(f43947,plain,
    ! [X0: nat,X1: rat] :
      ( ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X1),X0) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22232]) ).

tff(f22232,plain,
    ! [X0: nat,X1: rat] :
      ( ( ( aa_nat_rat(comm_s4028243227959126397er_rat(X1),X0) = aa_rat_rat(set_fo1949268297981939178at_rat(aTP_Lamm_pu(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_rat) )
        | ( zero_zero_nat = X0 ) )
      & ( ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X1),X0) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14911]) ).

tff(f14911,plain,
    ! [X0: nat,X1: rat] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_nat_rat(comm_s4028243227959126397er_rat(X1),X0) = aa_rat_rat(set_fo1949268297981939178at_rat(aTP_Lamm_pu(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_rat) ) )
      & ( ( zero_zero_nat = X0 )
       => ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X1),X0) ) ) ),
    inference(rectify,[],[f8897]) ).

tff(f8897,axiom,
    ! [X28: nat,X12: rat] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_nat_rat(comm_s4028243227959126397er_rat(X12),X28) = aa_rat_rat(set_fo1949268297981939178at_rat(aTP_Lamm_pu(X12),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X28),one_one_nat)),one_one_rat) ) )
      & ( ( zero_zero_nat = X28 )
       => ( one_one_rat = aa_nat_rat(comm_s4028243227959126397er_rat(X12),X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8896_pochhammer__code) ).

tff(f80195,plain,
    spl3933_437,
    inference(avatar_split_clause,[],[f62539,f80193]) ).

tff(f80193,plain,
    ( spl3933_437
  <=> ! [X1: nat] : ( bot_bot_set_nat = set_nat2(replicate_nat(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_437])]) ).

tff(f62539,plain,
    ! [X1: nat] : ( bot_bot_set_nat = set_nat2(replicate_nat(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43945]) ).

tff(f43945,plain,
    ! [X0: nat,X1: nat] :
      ( ( bot_bot_set_nat = set_nat2(replicate_nat(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22231]) ).

tff(f22231,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( insert_nat(X1,bot_bot_set_nat) = set_nat2(replicate_nat(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bot_set_nat = set_nat2(replicate_nat(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14910]) ).

tff(f14910,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert_nat(X1,bot_bot_set_nat) = set_nat2(replicate_nat(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bot_set_nat = set_nat2(replicate_nat(X0,X1)) ) ) ),
    inference(rectify,[],[f5309]) ).

tff(f5309,axiom,
    ! [X28: nat,X18: nat] :
      ( ( ( zero_zero_nat != X28 )
       => ( insert_nat(X18,bot_bot_set_nat) = set_nat2(replicate_nat(X28,X18)) ) )
      & ( ( zero_zero_nat = X28 )
       => ( bot_bot_set_nat = set_nat2(replicate_nat(X28,X18)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5308_set__replicate__conv__if) ).

tff(f80191,plain,
    spl3933_436,
    inference(avatar_split_clause,[],[f62538,f80189]) ).

tff(f80189,plain,
    ( spl3933_436
  <=> ! [X1: bool] : ( bot_bot_set_bool = set_bool2(replicate_bool(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_436])]) ).

tff(f62538,plain,
    ! [X1: bool] : ( bot_bot_set_bool = set_bool2(replicate_bool(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43943]) ).

tff(f43943,plain,
    ! [X0: nat,X1: bool] :
      ( ( bot_bot_set_bool = set_bool2(replicate_bool(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22230]) ).

tff(f22230,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( insert_bool(X1,bot_bot_set_bool) = set_bool2(replicate_bool(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bot_set_bool = set_bool2(replicate_bool(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14909]) ).

tff(f14909,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert_bool(X1,bot_bot_set_bool) = set_bool2(replicate_bool(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bot_set_bool = set_bool2(replicate_bool(X0,X1)) ) ) ),
    inference(rectify,[],[f5308]) ).

tff(f5308,axiom,
    ! [X28: nat,X18: bool] :
      ( ( ( zero_zero_nat != X28 )
       => ( insert_bool(X18,bot_bot_set_bool) = set_bool2(replicate_bool(X28,X18)) ) )
      & ( ( zero_zero_nat = X28 )
       => ( bot_bot_set_bool = set_bool2(replicate_bool(X28,X18)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5307_set__replicate__conv__if) ).

tff(f80187,plain,
    spl3933_435,
    inference(avatar_split_clause,[],[f62537,f80185]) ).

tff(f80185,plain,
    ( spl3933_435
  <=> ! [X1: int] : ( bot_bot_set_int = set_int2(replicate_int(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_435])]) ).

tff(f62537,plain,
    ! [X1: int] : ( bot_bot_set_int = set_int2(replicate_int(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43941]) ).

tff(f43941,plain,
    ! [X0: nat,X1: int] :
      ( ( bot_bot_set_int = set_int2(replicate_int(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22229]) ).

tff(f22229,plain,
    ! [X0: nat,X1: int] :
      ( ( ( insert_int(X1,bot_bot_set_int) = set_int2(replicate_int(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bot_set_int = set_int2(replicate_int(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14908]) ).

tff(f14908,plain,
    ! [X0: nat,X1: int] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert_int(X1,bot_bot_set_int) = set_int2(replicate_int(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bot_set_int = set_int2(replicate_int(X0,X1)) ) ) ),
    inference(rectify,[],[f5310]) ).

tff(f5310,axiom,
    ! [X28: nat,X18: int] :
      ( ( ( zero_zero_nat != X28 )
       => ( insert_int(X18,bot_bot_set_int) = set_int2(replicate_int(X28,X18)) ) )
      & ( ( zero_zero_nat = X28 )
       => ( bot_bot_set_int = set_int2(replicate_int(X28,X18)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5309_set__replicate__conv__if) ).

tff(f80183,plain,
    spl3933_434,
    inference(avatar_split_clause,[],[f62535,f80181]) ).

tff(f80181,plain,
    ( spl3933_434
  <=> ! [X1: complex] : ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X1),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_434])]) ).

tff(f62535,plain,
    ! [X1: complex] : ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X1),zero_zero_nat) ),
    inference(equality_resolution,[],[f43937]) ).

tff(f43937,plain,
    ! [X0: nat,X1: complex] :
      ( ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X1),X0) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22227]) ).

tff(f22227,plain,
    ! [X0: nat,X1: complex] :
      ( ( ( aa_nat_complex(comm_s2602460028002588243omplex(X1),X0) = aa_complex_complex(set_fo1517530859248394432omplex(aTP_Lamm_pt(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_complex) )
        | ( zero_zero_nat = X0 ) )
      & ( ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X1),X0) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14906]) ).

tff(f14906,plain,
    ! [X0: nat,X1: complex] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_nat_complex(comm_s2602460028002588243omplex(X1),X0) = aa_complex_complex(set_fo1517530859248394432omplex(aTP_Lamm_pt(X1),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X0),one_one_nat)),one_one_complex) ) )
      & ( ( zero_zero_nat = X0 )
       => ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X1),X0) ) ) ),
    inference(rectify,[],[f8896]) ).

tff(f8896,axiom,
    ! [X28: nat,X12: complex] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_nat_complex(comm_s2602460028002588243omplex(X12),X28) = aa_complex_complex(set_fo1517530859248394432omplex(aTP_Lamm_pt(X12),zero_zero_nat,aa_nat_nat(aa_nat_fun_nat_nat(minus_minus_nat,X28),one_one_nat)),one_one_complex) ) )
      & ( ( zero_zero_nat = X28 )
       => ( one_one_complex = aa_nat_complex(comm_s2602460028002588243omplex(X12),X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8895_pochhammer__code) ).

tff(f80179,plain,
    spl3933_433,
    inference(avatar_split_clause,[],[f62534,f80177]) ).

tff(f80177,plain,
    ( spl3933_433
  <=> ! [X1: product_prod_nat_nat] : ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_433])]) ).

tff(f62534,plain,
    ! [X1: product_prod_nat_nat] : ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43935]) ).

tff(f43935,plain,
    ! [X0: nat,X1: product_prod_nat_nat] :
      ( ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22226]) ).

tff(f22226,plain,
    ! [X0: nat,X1: product_prod_nat_nat] :
      ( ( ( insert8211810215607154385at_nat(X1,bot_bo2099793752762293965at_nat) = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14905]) ).

tff(f14905,plain,
    ! [X0: nat,X1: product_prod_nat_nat] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert8211810215607154385at_nat(X1,bot_bo2099793752762293965at_nat) = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X0,X1)) ) ) ),
    inference(rectify,[],[f5307]) ).

tff(f5307,axiom,
    ! [X28: nat,X18: product_prod_nat_nat] :
      ( ( ( zero_zero_nat != X28 )
       => ( insert8211810215607154385at_nat(X18,bot_bo2099793752762293965at_nat) = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X28,X18)) ) )
      & ( ( zero_zero_nat = X28 )
       => ( bot_bo2099793752762293965at_nat = set_Pr5648618587558075414at_nat(replic4235873036481779905at_nat(X28,X18)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5306_set__replicate__conv__if) ).

tff(f80175,plain,
    spl3933_432,
    inference(avatar_split_clause,[],[f62533,f80173]) ).

tff(f80173,plain,
    ( spl3933_432
  <=> ! [X1: produc3843707927480180839at_nat] : ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(zero_zero_nat,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_432])]) ).

tff(f62533,plain,
    ! [X1: produc3843707927480180839at_nat] : ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(zero_zero_nat,X1)) ),
    inference(equality_resolution,[],[f43933]) ).

tff(f43933,plain,
    ! [X0: nat,X1: produc3843707927480180839at_nat] :
      ( ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X0,X1)) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f22225]) ).

tff(f22225,plain,
    ! [X0: nat,X1: produc3843707927480180839at_nat] :
      ( ( ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X0,X1)) )
        | ( zero_zero_nat = X0 ) )
      & ( ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X0,X1)) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f14904]) ).

tff(f14904,plain,
    ! [X0: nat,X1: produc3843707927480180839at_nat] :
      ( ( ( zero_zero_nat != X0 )
       => ( insert9069300056098147895at_nat(X1,bot_bo228742789529271731at_nat) = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X0,X1)) ) )
      & ( ( zero_zero_nat = X0 )
       => ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X0,X1)) ) ) ),
    inference(rectify,[],[f5305]) ).

tff(f5305,axiom,
    ! [X28: nat,X18: produc3843707927480180839at_nat] :
      ( ( ( zero_zero_nat != X28 )
       => ( insert9069300056098147895at_nat(X18,bot_bo228742789529271731at_nat) = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X28,X18)) ) )
      & ( ( zero_zero_nat = X28 )
       => ( bot_bo228742789529271731at_nat = set_Pr3765526544606949372at_nat(replic2264142908078655527at_nat(X28,X18)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5304_set__replicate__conv__if) ).

tff(f80171,plain,
    spl3933_431,
    inference(avatar_split_clause,[],[f62430,f80168]) ).

tff(f80168,plain,
    ( spl3933_431
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),one_one_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_431])]) ).

tff(f62430,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),one_one_nat)),
    inference(equality_resolution,[],[f41833]) ).

tff(f41833,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),one_one_nat))
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f30457]) ).

tff(f30457,plain,
    ! [X0: nat] :
      ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),one_one_nat))
        | ( zero_zero_nat != X0 ) )
      & ( ( zero_zero_nat = X0 )
        | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),one_one_nat)) ) ),
    inference(nnf_transformation,[],[f13091]) ).

tff(f13091,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),one_one_nat))
    <=> ( zero_zero_nat = X0 ) ),
    inference(rectify,[],[f2919]) ).

tff(f2919,axiom,
    ! [X28: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X28),one_one_nat))
    <=> ( zero_zero_nat = X28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2918_less__one) ).

tff(f80166,plain,
    spl3933_430,
    inference(avatar_split_clause,[],[f62323,f80163]) ).

tff(f80163,plain,
    ( spl3933_430
  <=> pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_430])]) ).

tff(f62323,plain,
    pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),zero_zero_nat)),
    inference(equality_resolution,[],[f41496]) ).

tff(f41496,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),X0))
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f30163]) ).

tff(f30163,plain,
    ! [X0: nat] :
      ( ( ( zero_zero_nat = X0 )
        | ~ pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),X0)) )
      & ( pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),X0))
        | ( zero_zero_nat != X0 ) ) ),
    inference(nnf_transformation,[],[f12924]) ).

tff(f12924,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat = X0 )
    <=> pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),X0)) ),
    inference(rectify,[],[f9638]) ).

tff(f9638,axiom,
    ! [X66: nat] :
      ( ( zero_zero_nat = X66 )
    <=> pp(aa_nat_bool(case_nat_bool(fTrue,aTP_Lamm_ch),X66)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9637_nat_Odisc__eq__case_I1_J) ).

tff(f80161,plain,
    ~ spl3933_429,
    inference(avatar_split_clause,[],[f62299,f80158]) ).

tff(f80158,plain,
    ( spl3933_429
  <=> pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_429])]) ).

tff(f62299,plain,
    ~ pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),zero_zero_nat)),
    inference(equality_resolution,[],[f41469]) ).

tff(f41469,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat != X0 )
      | ~ pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),X0)) ),
    inference(cnf_transformation,[],[f30149]) ).

tff(f30149,plain,
    ! [X0: nat] :
      ( ( ( zero_zero_nat != X0 )
        | ~ pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),X0)) )
      & ( pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),X0))
        | ( zero_zero_nat = X0 ) ) ),
    inference(nnf_transformation,[],[f12910]) ).

tff(f12910,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat != X0 )
    <=> pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),X0)) ),
    inference(rectify,[],[f9637]) ).

tff(f9637,axiom,
    ! [X66: nat] :
      ( ( zero_zero_nat != X66 )
    <=> pp(aa_nat_bool(case_nat_bool(fFalse,aTP_Lamm_vr),X66)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9636_nat_Odisc__eq__case_I2_J) ).

tff(f80156,plain,
    spl3933_428,
    inference(avatar_split_clause,[],[f58485,f80154]) ).

tff(f80154,plain,
    ( spl3933_428
  <=> ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_428])]) ).

tff(f58485,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X0)),
    inference(definition_unfolding,[],[f39538,f38905]) ).

tff(f38905,plain,
    bot_bot_nat = zero_zero_nat,
    inference(cnf_transformation,[],[f2979]) ).

tff(f2979,axiom,
    bot_bot_nat = zero_zero_nat,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2978_bot__nat__def) ).

tff(f39538,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,bot_bot_nat),X0)),
    inference(cnf_transformation,[],[f11206]) ).

tff(f11206,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,bot_bot_nat),X0)),
    inference(rectify,[],[f514]) ).

tff(f514,axiom,
    ! [X12: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,bot_bot_nat),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_513_bot_Oextremum) ).

tff(f80152,plain,
    spl3933_427,
    inference(avatar_split_clause,[],[f58467,f80150]) ).

tff(f80150,plain,
    ( spl3933_427
  <=> ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_427])]) ).

tff(f58467,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),zero_zero_nat)),
    inference(definition_unfolding,[],[f39456,f38905]) ).

tff(f39456,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),bot_bot_nat)),
    inference(cnf_transformation,[],[f11124]) ).

tff(f11124,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),bot_bot_nat)),
    inference(rectify,[],[f1359]) ).

tff(f1359,axiom,
    ! [X12: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X12),bot_bot_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1358_bot_Oextremum__strict) ).

tff(f80148,plain,
    spl3933_426,
    inference(avatar_split_clause,[],[f58437,f80146]) ).

tff(f80146,plain,
    ( spl3933_426
  <=> ! [X0: nat] : ( bot_bot_set_nat = collect_nat(vEBT_vebt_member(vEBT_vebt_buildup(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_426])]) ).

tff(f58437,plain,
    ! [X0: nat] : ( bot_bot_set_nat = collect_nat(vEBT_vebt_member(vEBT_vebt_buildup(X0))) ),
    inference(definition_unfolding,[],[f39362,f39504]) ).

tff(f39504,plain,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    inference(cnf_transformation,[],[f11172]) ).

tff(f11172,plain,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    inference(rectify,[],[f2516]) ).

tff(f2516,axiom,
    ! [X29: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X29) = collect_nat(vEBT_vebt_member(X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2515_set__vebt_H__def) ).

tff(f39362,plain,
    ! [X0: nat] : ( bot_bot_set_nat = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0)) ),
    inference(cnf_transformation,[],[f11030]) ).

tff(f11030,plain,
    ! [X0: nat] : ( bot_bot_set_nat = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0)) ),
    inference(rectify,[],[f68]) ).

tff(f68,axiom,
    ! [X28: nat] : ( bot_bot_set_nat = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X28)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_buildup__gives__empty) ).

tff(f80144,plain,
    spl3933_425,
    inference(avatar_split_clause,[],[f58424,f80142]) ).

tff(f58424,plain,
    ! [X0: num] : ( extend5688581933313929465d_enat != extended_enat2(aa_num_nat(numeral_numeral_nat,X0)) ),
    inference(definition_unfolding,[],[f39306,f39621]) ).

tff(f39621,plain,
    ! [X0: num] : ( numera1916890842035813515d_enat(X0) = extended_enat2(aa_num_nat(numeral_numeral_nat,X0)) ),
    inference(cnf_transformation,[],[f11289]) ).

tff(f11289,plain,
    ! [X0: num] : ( numera1916890842035813515d_enat(X0) = extended_enat2(aa_num_nat(numeral_numeral_nat,X0)) ),
    inference(rectify,[],[f10172]) ).

tff(f10172,axiom,
    ! [X59: num] : ( numera1916890842035813515d_enat(X59) = extended_enat2(aa_num_nat(numeral_numeral_nat,X59)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10171_numeral__eq__enat) ).

tff(f39306,plain,
    ! [X0: num] : ( extend5688581933313929465d_enat != numera1916890842035813515d_enat(X0) ),
    inference(cnf_transformation,[],[f10974]) ).

tff(f10974,plain,
    ! [X0: num] : ( extend5688581933313929465d_enat != numera1916890842035813515d_enat(X0) ),
    inference(rectify,[],[f10180]) ).

tff(f10180,axiom,
    ! [X59: num] : ( numera1916890842035813515d_enat(X59) != extend5688581933313929465d_enat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10179_numeral__ne__infinity) ).

tff(f80140,plain,
    spl3933_424,
    inference(avatar_split_clause,[],[f58422,f80138]) ).

tff(f80138,plain,
    ( spl3933_424
  <=> ! [X0: int] : ( bot_bot_set_int != collect_int(aa_int_fun_int_bool(aTP_Lamm_qn,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_424])]) ).

tff(f58422,plain,
    ! [X0: int] : ( bot_bot_set_int != collect_int(aa_int_fun_int_bool(aTP_Lamm_qn,X0)) ),
    inference(definition_unfolding,[],[f39304,f39622]) ).

tff(f39622,plain,
    ! [X0: int] : ( set_ord_atMost_int(X0) = collect_int(aa_int_fun_int_bool(aTP_Lamm_qn,X0)) ),
    inference(cnf_transformation,[],[f11290]) ).

tff(f11290,plain,
    ! [X0: int] : ( set_ord_atMost_int(X0) = collect_int(aa_int_fun_int_bool(aTP_Lamm_qn,X0)) ),
    inference(rectify,[],[f8979]) ).

tff(f8979,axiom,
    ! [X116: int] : ( set_ord_atMost_int(X116) = collect_int(aa_int_fun_int_bool(aTP_Lamm_qn,X116)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8978_atMost__def) ).

tff(f39304,plain,
    ! [X0: int] : ( bot_bot_set_int != set_ord_atMost_int(X0) ),
    inference(cnf_transformation,[],[f10972]) ).

tff(f10972,plain,
    ! [X0: int] : ( bot_bot_set_int != set_ord_atMost_int(X0) ),
    inference(rectify,[],[f8965]) ).

tff(f8965,axiom,
    ! [X58: int] : ( bot_bot_set_int != set_ord_atMost_int(X58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8964_not__empty__eq__Iic__eq__empty) ).

tff(f80136,plain,
    spl3933_423,
    inference(avatar_split_clause,[],[f58336,f80133]) ).

tff(f80133,plain,
    ( spl3933_423
  <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),sK3932)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_423])]) ).

tff(f58336,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),sK3932)),
    inference(cnf_transformation,[],[f38898]) ).

tff(f38898,plain,
    ( ! [X1: real] :
        ( ( sK3932 = X1 )
        | ( zero_zero_real != aa_real_real(cos_real,X1) )
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
        | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
    & ( zero_zero_real = aa_real_real(cos_real,sK3932) )
    & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,sK3932),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
    & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),sK3932)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3932])],[f28458,f38897]) ).

tff(f38897,plain,
    ( ? [X0: real] :
        ( ! [X1: real] :
            ( ( X0 = X1 )
            | ( zero_zero_real != aa_real_real(cos_real,X1) )
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
        & ( zero_zero_real = aa_real_real(cos_real,X0) )
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X0)) )
   => ( ! [X1: real] :
          ( ( sK3932 = X1 )
          | ( zero_zero_real != aa_real_real(cos_real,X1) )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
      & ( zero_zero_real = aa_real_real(cos_real,sK3932) )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,sK3932),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),sK3932)) ) ),
    introduced(choice_axiom,[]) ).

tff(f28458,plain,
    ? [X0: real] :
      ( ! [X1: real] :
          ( ( X0 = X1 )
          | ( zero_zero_real != aa_real_real(cos_real,X1) )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
      & ( zero_zero_real = aa_real_real(cos_real,X0) )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X0)) ),
    inference(flattening,[],[f28457]) ).

tff(f28457,plain,
    ? [X0: real] :
      ( ! [X1: real] :
          ( ( X0 = X1 )
          | ( zero_zero_real != aa_real_real(cos_real,X1) )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
      & ( zero_zero_real = aa_real_real(cos_real,X0) )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X0)) ),
    inference(ennf_transformation,[],[f21512]) ).

tff(f21512,plain,
    ? [X0: real] :
      ( ! [X1: real] :
          ( ( ( zero_zero_real = aa_real_real(cos_real,X1) )
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X1)) )
         => ( X0 = X1 ) )
      & ( zero_zero_real = aa_real_real(cos_real,X0) )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X0)) ),
    inference(rectify,[],[f7497]) ).

tff(f7497,axiom,
    ? [X37: real] :
      ( ! [X80: real] :
          ( ( ( zero_zero_real = aa_real_real(cos_real,X80) )
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X80),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X80)) )
         => ( X37 = X80 ) )
      & ( zero_zero_real = aa_real_real(cos_real,X37) )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X37),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),X37)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7496_cos__is__zero) ).

tff(f80131,plain,
    spl3933_422,
    inference(avatar_split_clause,[],[f53271,f80129]) ).

tff(f80129,plain,
    ( spl3933_422
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP409(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_422])]) ).

tff(f53271,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP409(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35611]) ).

tff(f35611,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,sK2991(X0,X1,X2),sK2992(X0,X1,X2),sK2993(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK2991(X0,X1,X2),sK2992(X0,X1,X2),sK2993(X0,X1,X2)) = X2 ) )
      | ~ sP409(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2991,sK2992,sK2993])],[f35609,f35610]) ).

tff(f35610,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,X3,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X3,X4,X5) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,sK2991(X0,X1,X2),sK2992(X0,X1,X2),sK2993(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK2991(X0,X1,X2),sK2992(X0,X1,X2),sK2993(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35609,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,X3,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X3,X4,X5) = X2 ) )
      | ~ sP409(X0,X1,X2) ),
    inference(rectify,[],[f35608]) ).

tff(f35608,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7),X1))
          & ~ pp(X2)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7) = X0 ) )
      | ~ sP409(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29081]) ).

tff(f29081,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7),X1))
          & ~ pp(X2)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7) = X0 ) )
      | ~ sP409(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP409])]) ).

tff(f80127,plain,
    spl3933_421,
    inference(avatar_split_clause,[],[f53268,f80125]) ).

tff(f80125,plain,
    ( spl3933_421
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP410(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_421])]) ).

tff(f53268,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP410(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35607]) ).

tff(f35607,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(sK2988(X0,X1,X2)),zero_zero_nat,sK2989(X0,X1,X2),sK2990(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK2988(X0,X1,X2)),zero_zero_nat,sK2989(X0,X1,X2),sK2990(X0,X1,X2)) = X2 ) )
      | ~ sP410(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2988,sK2989,sK2990])],[f35605,f35606]) ).

tff(f35606,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: product_prod_nat_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X3),zero_zero_nat,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X3),zero_zero_nat,X4,X5) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(sK2988(X0,X1,X2)),zero_zero_nat,sK2989(X0,X1,X2),sK2990(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK2988(X0,X1,X2)),zero_zero_nat,sK2989(X0,X1,X2),sK2990(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35605,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: product_prod_nat_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X3),zero_zero_nat,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X3),zero_zero_nat,X4,X5) = X2 ) )
      | ~ sP410(X0,X1,X2) ),
    inference(rectify,[],[f35604]) ).

tff(f35604,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X8: product_prod_nat_nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10),X1))
          & ~ pp(X2)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10) = X0 ) )
      | ~ sP410(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29082]) ).

tff(f29082,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X8: product_prod_nat_nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10),X1))
          & ~ pp(X2)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10) = X0 ) )
      | ~ sP410(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP410])]) ).

tff(f80123,plain,
    spl3933_420,
    inference(avatar_split_clause,[],[f53265,f80121]) ).

tff(f80121,plain,
    ( spl3933_420
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP411(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_420])]) ).

tff(f53265,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP411(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35603]) ).

tff(f35603,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(sK2985(X0,X1,X2)),aa_nat_nat(suc,zero_zero_nat),sK2986(X0,X1,X2),sK2987(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK2985(X0,X1,X2)),aa_nat_nat(suc,zero_zero_nat),sK2986(X0,X1,X2),sK2987(X0,X1,X2)) = X2 ) )
      | ~ sP411(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2985,sK2986,sK2987])],[f35601,f35602]) ).

tff(f35602,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: product_prod_nat_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X3),aa_nat_nat(suc,zero_zero_nat),X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X3),aa_nat_nat(suc,zero_zero_nat),X4,X5) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(sK2985(X0,X1,X2)),aa_nat_nat(suc,zero_zero_nat),sK2986(X0,X1,X2),sK2987(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK2985(X0,X1,X2)),aa_nat_nat(suc,zero_zero_nat),sK2986(X0,X1,X2),sK2987(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35601,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: product_prod_nat_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X3),aa_nat_nat(suc,zero_zero_nat),X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X3),aa_nat_nat(suc,zero_zero_nat),X4,X5) = X2 ) )
      | ~ sP411(X0,X1,X2) ),
    inference(rectify,[],[f35600]) ).

tff(f35600,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X11: product_prod_nat_nat,X12: list_VEBT_VEBT,X13: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X11),aa_nat_nat(suc,zero_zero_nat),X12,X13),X1))
          & ~ pp(X2)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X11),aa_nat_nat(suc,zero_zero_nat),X12,X13) = X0 ) )
      | ~ sP411(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29083]) ).

tff(f29083,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X11: product_prod_nat_nat,X12: list_VEBT_VEBT,X13: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_vebt_member_rel,produc738532404422230701BT_nat(vEBT_Node(some_P7363390416028606310at_nat(X11),aa_nat_nat(suc,zero_zero_nat),X12,X13),X1))
          & ~ pp(X2)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X11),aa_nat_nat(suc,zero_zero_nat),X12,X13) = X0 ) )
      | ~ sP411(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP411])]) ).

tff(f80119,plain,
    spl3933_419,
    inference(avatar_split_clause,[],[f53216,f80117]) ).

tff(f80117,plain,
    ( spl3933_419
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP392(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_419])]) ).

tff(f53216,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP392(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35553]) ).

tff(f35553,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(sK2962(X0,X1,X2),sK2963(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Leaf(sK2962(X0,X1,X2),sK2963(X0,X1,X2)) = X2 ) )
      | ~ sP392(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2962,sK2963])],[f35551,f35552]) ).

tff(f35552,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X0))
          & ~ pp(X1)
          & ( vEBT_Leaf(X3,X4) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(sK2962(X0,X1,X2),sK2963(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Leaf(sK2962(X0,X1,X2),sK2963(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35551,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X0))
          & ~ pp(X1)
          & ( vEBT_Leaf(X3,X4) = X2 ) )
      | ~ sP392(X0,X1,X2) ),
    inference(rectify,[],[f35550]) ).

tff(f35550,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X1))
          & ~ pp(X2)
          & ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP392(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29062]) ).

tff(f29062,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool,X4: bool] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Leaf(X3,X4),X1))
          & ~ pp(X2)
          & ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP392(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP392])]) ).

tff(f80115,plain,
    spl3933_418,
    inference(avatar_split_clause,[],[f53213,f80113]) ).

tff(f80113,plain,
    ( spl3933_418
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP393(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_418])]) ).

tff(f53213,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP393(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35549]) ).

tff(f35549,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2960(X0,X1,X2),sK2961(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2960(X0,X1,X2),sK2961(X0,X1,X2)) = X2 ) )
      | ~ sP393(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2960,sK2961])],[f35547,f35548]) ).

tff(f35548,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X3,X4),X0))
          & ~ pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X3,X4) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2960(X0,X1,X2),sK2961(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2960(X0,X1,X2),sK2961(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35547,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X3,X4),X0))
          & ~ pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X3,X4) = X2 ) )
      | ~ sP393(X0,X1,X2) ),
    inference(rectify,[],[f35546]) ).

tff(f35546,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6),X1))
          & ~ pp(X2)
          & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6) = X0 ) )
      | ~ sP393(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29063]) ).

tff(f29063,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V4351362008482014158ma_rel,produc738532404422230701BT_nat(vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6),X1))
          & ~ pp(X2)
          & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6) = X0 ) )
      | ~ sP393(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP393])]) ).

tff(f80111,plain,
    spl3933_417,
    inference(avatar_split_clause,[],[f53128,f80109]) ).

tff(f80109,plain,
    ( spl3933_417
  <=> ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
        ( ~ pp(X1)
        | ~ sP374(X0,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_417])]) ).

tff(f53128,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: bool] :
      ( ~ pp(X1)
      | ~ sP374(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35466]) ).

tff(f35466,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(sK2920(X0,X1,X2),zero_zero_nat,sK2921(X0,X1,X2),sK2922(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(sK2920(X0,X1,X2),zero_zero_nat,sK2921(X0,X1,X2),sK2922(X0,X1,X2)) = X2 ) )
      | ~ sP374(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2920,sK2921,sK2922])],[f35464,f35465]) ).

tff(f35465,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: option4927543243414619207at_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(X3,zero_zero_nat,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(X3,zero_zero_nat,X4,X5) = X2 ) )
     => ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(sK2920(X0,X1,X2),zero_zero_nat,sK2921(X0,X1,X2),sK2922(X0,X1,X2)),X0))
        & ~ pp(X1)
        & ( vEBT_Node(sK2920(X0,X1,X2),zero_zero_nat,sK2921(X0,X1,X2),sK2922(X0,X1,X2)) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35464,plain,
    ! [X0: nat,X1: bool,X2: vEBT_VEBT] :
      ( ? [X3: option4927543243414619207at_nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(X3,zero_zero_nat,X4,X5),X0))
          & ~ pp(X1)
          & ( vEBT_Node(X3,zero_zero_nat,X4,X5) = X2 ) )
      | ~ sP374(X0,X1,X2) ),
    inference(rectify,[],[f35463]) ).

tff(f35463,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: option4927543243414619207at_nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(X5,zero_zero_nat,X6,X7),X1))
          & ~ pp(X2)
          & ( vEBT_Node(X5,zero_zero_nat,X6,X7) = X0 ) )
      | ~ sP374(X1,X2,X0) ),
    inference(nnf_transformation,[],[f29040]) ).

tff(f29040,plain,
    ! [X1: nat,X2: bool,X0: vEBT_VEBT] :
      ( ? [X5: option4927543243414619207at_nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] :
          ( accp_P2887432264394892906BT_nat(vEBT_V5765760719290551771er_rel,produc738532404422230701BT_nat(vEBT_Node(X5,zero_zero_nat,X6,X7),X1))
          & ~ pp(X2)
          & ( vEBT_Node(X5,zero_zero_nat,X6,X7) = X0 ) )
      | ~ sP374(X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP374])]) ).

tff(f80107,plain,
    spl3933_416,
    inference(avatar_split_clause,[],[f51615,f80105]) ).

tff(f80105,plain,
    ( spl3933_416
  <=> ! [X0: option_nat,X1: vEBT_VEBT] :
        ( ( none_nat = X0 )
        | ~ sP308(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_416])]) ).

tff(f51615,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( none_nat = X0 )
      | ~ sP308(X0,X1) ),
    inference(cnf_transformation,[],[f34982]) ).

tff(f34982,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK2717(X1),sK2718(X1),sK2719(X1)) = X1 ) )
      | ~ sP308(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2717,sK2718,sK2719])],[f34980,f34981]) ).

tff(f34981,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 )
     => ( vEBT_Node(none_P5556105721700978146at_nat,sK2717(X1),sK2718(X1),sK2719(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f34980,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( ( none_nat = X0 )
        & ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP308(X0,X1) ),
    inference(rectify,[],[f34979]) ).

tff(f34979,plain,
    ! [X2: option_nat,X0: vEBT_VEBT] :
      ( ( ( none_nat = X2 )
        & ? [X10: nat,X11: list_VEBT_VEBT,X12: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X10,X11,X12) = X0 ) )
      | ~ sP308(X2,X0) ),
    inference(nnf_transformation,[],[f28952]) ).

tff(f28952,plain,
    ! [X2: option_nat,X0: vEBT_VEBT] :
      ( ( ( none_nat = X2 )
        & ? [X10: nat,X11: list_VEBT_VEBT,X12: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X10,X11,X12) = X0 ) )
      | ~ sP308(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP308])]) ).

tff(f80103,plain,
    spl3933_415,
    inference(avatar_split_clause,[],[f51569,f80101]) ).

tff(f80101,plain,
    ( spl3933_415
  <=> ! [X0: option_nat,X1: vEBT_VEBT] :
        ( ( none_nat = X0 )
        | ~ sP294(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_415])]) ).

tff(f51569,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( none_nat = X0 )
      | ~ sP294(X0,X1) ),
    inference(cnf_transformation,[],[f34928]) ).

tff(f34928,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK2677(X1),sK2678(X1),sK2679(X1)) = X1 ) )
      | ~ sP294(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2677,sK2678,sK2679])],[f34926,f34927]) ).

tff(f34927,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 )
     => ( vEBT_Node(none_P5556105721700978146at_nat,sK2677(X1),sK2678(X1),sK2679(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f34926,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( ( none_nat = X0 )
        & ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP294(X0,X1) ),
    inference(rectify,[],[f34925]) ).

tff(f34925,plain,
    ! [X2: option_nat,X0: vEBT_VEBT] :
      ( ( ( none_nat = X2 )
        & ? [X8: nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X8,X9,X10) = X0 ) )
      | ~ sP294(X2,X0) ),
    inference(nnf_transformation,[],[f28936]) ).

tff(f28936,plain,
    ! [X2: option_nat,X0: vEBT_VEBT] :
      ( ( ( none_nat = X2 )
        & ? [X8: nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X8,X9,X10) = X0 ) )
      | ~ sP294(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP294])]) ).

tff(f80099,plain,
    spl3933_414,
    inference(avatar_split_clause,[],[f47921,f80097]) ).

tff(f80097,plain,
    ( spl3933_414
  <=> ! [X0: nat,X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_hp,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_414])]) ).

tff(f47921,plain,
    ! [X0: nat,X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_hp,X0),X1)),
    inference(cnf_transformation,[],[f16973]) ).

tff(f16973,plain,
    ! [X0: nat,X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_hp,X0),X1)),
    inference(true_and_false_elimination,[],[f16972]) ).

tff(f16972,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_hp,X0),X1))
    <=> $true ),
    inference(rectify,[],[f10872]) ).

tff(f10872,axiom,
    ! [X93: nat,X269: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(aTP_Lamm_hp,X93),X269))
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10871_ATP_Olambda__666) ).

tff(f80095,plain,
    spl3933_413,
    inference(avatar_split_clause,[],[f47347,f80093]) ).

tff(f80093,plain,
    ( spl3933_413
  <=> ! [X0: vEBT_VEBT,X1: nat] :
        ( sP147(X0,X1)
        | ~ sP146(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_413])]) ).

tff(f47347,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
      | ~ sP146(X1,X0) ),
    inference(cnf_transformation,[],[f32657]) ).

tff(f32657,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( sP147(X0,X1)
        | ( ~ sP146(X1,X0)
          & ~ sP145(X1,X0)
          & ~ sP144(X1,X0)
          & ~ sP143(X1,X0)
          & ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ! [X2: bool,X3: bool] : ( vEBT_Leaf(X2,X3) != X0 ) ) ) )
      & ( sP146(X1,X0)
        | sP145(X1,X0)
        | sP144(X1,X0)
        | sP143(X1,X0)
        | ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( vEBT_Leaf(sK2147(X0),sK2148(X0)) = X0 ) )
        | ~ sP147(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2147,sK2148])],[f32655,f32656]) ).

tff(f32656,plain,
    ! [X0: vEBT_VEBT] :
      ( ? [X4: bool,X5: bool] : ( vEBT_Leaf(X4,X5) = X0 )
     => ( vEBT_Leaf(sK2147(X0),sK2148(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f32655,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( sP147(X0,X1)
        | ( ~ sP146(X1,X0)
          & ~ sP145(X1,X0)
          & ~ sP144(X1,X0)
          & ~ sP143(X1,X0)
          & ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ! [X2: bool,X3: bool] : ( vEBT_Leaf(X2,X3) != X0 ) ) ) )
      & ( sP146(X1,X0)
        | sP145(X1,X0)
        | sP144(X1,X0)
        | sP143(X1,X0)
        | ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ? [X4: bool,X5: bool] : ( vEBT_Leaf(X4,X5) = X0 ) )
        | ~ sP147(X0,X1) ) ),
    inference(rectify,[],[f32654]) ).

tff(f32654,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( sP147(X0,X1)
        | ( ~ sP146(X1,X0)
          & ~ sP145(X1,X0)
          & ~ sP144(X1,X0)
          & ~ sP143(X1,X0)
          & ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ! [X40: bool,X41: bool] : ( vEBT_Leaf(X40,X41) != X0 ) ) ) )
      & ( sP146(X1,X0)
        | sP145(X1,X0)
        | sP144(X1,X0)
        | sP143(X1,X0)
        | ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ? [X40: bool,X41: bool] : ( vEBT_Leaf(X40,X41) = X0 ) )
        | ~ sP147(X0,X1) ) ),
    inference(flattening,[],[f32653]) ).

tff(f32653,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( sP147(X0,X1)
        | ( ~ sP146(X1,X0)
          & ~ sP145(X1,X0)
          & ~ sP144(X1,X0)
          & ~ sP143(X1,X0)
          & ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ! [X40: bool,X41: bool] : ( vEBT_Leaf(X40,X41) != X0 ) ) ) )
      & ( sP146(X1,X0)
        | sP145(X1,X0)
        | sP144(X1,X0)
        | sP143(X1,X0)
        | ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ? [X40: bool,X41: bool] : ( vEBT_Leaf(X40,X41) = X0 ) )
        | ~ sP147(X0,X1) ) ),
    inference(nnf_transformation,[],[f28699]) ).

tff(f28699,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
    <=> ( sP146(X1,X0)
        | sP145(X1,X0)
        | sP144(X1,X0)
        | sP143(X1,X0)
        | ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ? [X40: bool,X41: bool] : ( vEBT_Leaf(X40,X41) = X0 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])]) ).

tff(f80091,plain,
    spl3933_412,
    inference(avatar_split_clause,[],[f47346,f80089]) ).

tff(f80089,plain,
    ( spl3933_412
  <=> ! [X0: vEBT_VEBT,X1: nat] :
        ( sP147(X0,X1)
        | ~ sP145(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_412])]) ).

tff(f47346,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
      | ~ sP145(X1,X0) ),
    inference(cnf_transformation,[],[f32657]) ).

tff(f80087,plain,
    spl3933_411,
    inference(avatar_split_clause,[],[f47345,f80085]) ).

tff(f80085,plain,
    ( spl3933_411
  <=> ! [X0: vEBT_VEBT,X1: nat] :
        ( sP147(X0,X1)
        | ~ sP144(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_411])]) ).

tff(f47345,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
      | ~ sP144(X1,X0) ),
    inference(cnf_transformation,[],[f32657]) ).

tff(f80083,plain,
    spl3933_410,
    inference(avatar_split_clause,[],[f47344,f80081]) ).

tff(f80081,plain,
    ( spl3933_410
  <=> ! [X0: vEBT_VEBT,X1: nat] :
        ( sP147(X0,X1)
        | ~ sP143(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_410])]) ).

tff(f47344,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
      | ~ sP143(X1,X0) ),
    inference(cnf_transformation,[],[f32657]) ).

tff(f80079,plain,
    spl3933_409,
    inference(avatar_split_clause,[],[f46911,f80077]) ).

tff(f80077,plain,
    ( spl3933_409
  <=> ! [X0: nat,X1: nat] :
        ( ( X0 = X1 )
        | ~ sP131(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_409])]) ).

tff(f46911,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
      | ~ sP131(X1,X0) ),
    inference(cnf_transformation,[],[f32369]) ).

tff(f32369,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( X0 = X1 )
        | ~ sP131(X1,X0) )
      & ( sP131(X1,X0)
        | ( X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f28680]) ).

tff(f28680,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
    <=> sP131(X1,X0) ),
    inference(definition_folding,[],[f16596,f28679]) ).

tff(f28679,plain,
    ! [X1: nat,X0: nat] :
      ( sP131(X1,X0)
    <=> ( ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = 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(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))
        <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).

tff(f16596,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = X1 )
    <=> ( ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = 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(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))
        <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) ) ) ),
    inference(rectify,[],[f5152]) ).

tff(f5152,axiom,
    ! [X12: nat,X13: nat] :
      ( ( X12 = X13 )
    <=> ( ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X12),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X13),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) )
        & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X12))
        <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5151_bit__eq__rec) ).

tff(f80075,plain,
    spl3933_408,
    inference(avatar_split_clause,[],[f46904,f80073]) ).

tff(f80073,plain,
    ( spl3933_408
  <=> ! [X0: int,X1: int] :
        ( ( X0 = X1 )
        | ~ sP130(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_408])]) ).

tff(f46904,plain,
    ! [X0: int,X1: int] :
      ( ( X0 = X1 )
      | ~ sP130(X1,X0) ),
    inference(cnf_transformation,[],[f32365]) ).

tff(f32365,plain,
    ! [X0: int,X1: int] :
      ( ( ( X0 = X1 )
        | ~ sP130(X1,X0) )
      & ( sP130(X1,X0)
        | ( X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f28678]) ).

tff(f28678,plain,
    ! [X0: int,X1: int] :
      ( ( X0 = X1 )
    <=> sP130(X1,X0) ),
    inference(definition_folding,[],[f16595,f28677]) ).

tff(f28677,plain,
    ! [X1: int,X0: int] :
      ( sP130(X1,X0)
    <=> ( ( aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) = aa_int_int(aa_int_fun_int_int(divide_divide_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) )
        & ( pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X0))
        <=> pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X1)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).

tff(f16595,plain,
    ! [X0: int,X1: int] :
      ( ( X0 = X1 )
    <=> ( ( aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) = aa_int_int(aa_int_fun_int_int(divide_divide_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) )
        & ( pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X0))
        <=> pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X1)) ) ) ),
    inference(rectify,[],[f5153]) ).

tff(f5153,axiom,
    ! [X12: int,X13: int] :
      ( ( X12 = X13 )
    <=> ( ( aa_int_int(aa_int_fun_int_int(divide_divide_int,X12),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) = aa_int_int(aa_int_fun_int_int(divide_divide_int,X13),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))) )
        & ( pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X12))
        <=> pp(aa_int_bool(aa_int_fun_int_bool(dvd_dvd_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5152_bit__eq__rec) ).

tff(f80071,plain,
    spl3933_407,
    inference(avatar_split_clause,[],[f46897,f80069]) ).

tff(f80069,plain,
    ( spl3933_407
  <=> ! [X0: code_integer,X1: code_integer] :
        ( ( X0 = X1 )
        | ~ sP129(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_407])]) ).

tff(f46897,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( ( X0 = X1 )
      | ~ sP129(X1,X0) ),
    inference(cnf_transformation,[],[f32361]) ).

tff(f32361,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( ( ( X0 = X1 )
        | ~ sP129(X1,X0) )
      & ( sP129(X1,X0)
        | ( X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f28676]) ).

tff(f28676,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( ( X0 = X1 )
    <=> sP129(X1,X0) ),
    inference(definition_folding,[],[f16594,f28675]) ).

tff(f28675,plain,
    ! [X1: code_integer,X0: code_integer] :
      ( sP129(X1,X0)
    <=> ( ( divide6298287555418463151nteger(X0,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) = divide6298287555418463151nteger(X1,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) )
        & ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X0))
        <=> pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X1)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).

tff(f16594,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( ( X0 = X1 )
    <=> ( ( divide6298287555418463151nteger(X0,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) = divide6298287555418463151nteger(X1,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) )
        & ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X0))
        <=> pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X1)) ) ) ),
    inference(rectify,[],[f5151]) ).

tff(f5151,axiom,
    ! [X12: code_integer,X13: code_integer] :
      ( ( X12 = X13 )
    <=> ( ( divide6298287555418463151nteger(X12,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) = divide6298287555418463151nteger(X13,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))) )
        & ( pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X12))
        <=> pp(aa_Code_integer_bool(aa_Cod7250484176784686200r_bool(dvd_dvd_Code_integer,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5150_bit__eq__rec) ).

tff(f80067,plain,
    spl3933_406,
    inference(avatar_split_clause,[],[f46838,f80065]) ).

tff(f80065,plain,
    ( spl3933_406
  <=> ! [X0: list_bool,X1: list_bool] :
        ( ( X0 = X1 )
        | ~ sP128(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_406])]) ).

tff(f46838,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( ( X0 = X1 )
      | ~ sP128(X1,X0) ),
    inference(cnf_transformation,[],[f32320]) ).

tff(f32320,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( ( ( X0 = X1 )
        | ~ sP128(X1,X0) )
      & ( sP128(X1,X0)
        | ( X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f28674]) ).

tff(f28674,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( ( X0 = X1 )
    <=> sP128(X1,X0) ),
    inference(definition_folding,[],[f24397,f28673]) ).

tff(f28673,plain,
    ! [X1: list_bool,X0: list_bool] :
      ( sP128(X1,X0)
    <=> ( ! [X2: nat] :
            ( ( pp(aa_nat_bool(nth_bool(X0),X2))
            <=> pp(aa_nat_bool(nth_bool(X1),X2)) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_size_list_bool(X0))) )
        & ( size_size_list_bool(X0) = size_size_list_bool(X1) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).

tff(f24397,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( ( X0 = X1 )
    <=> ( ! [X2: nat] :
            ( ( pp(aa_nat_bool(nth_bool(X0),X2))
            <=> pp(aa_nat_bool(nth_bool(X1),X2)) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_size_list_bool(X0))) )
        & ( size_size_list_bool(X0) = size_size_list_bool(X1) ) ) ),
    inference(ennf_transformation,[],[f16576]) ).

tff(f16576,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( ( X0 = X1 )
    <=> ( ! [X2: nat] :
            ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),size_size_list_bool(X0)))
           => ( pp(aa_nat_bool(nth_bool(X0),X2))
            <=> pp(aa_nat_bool(nth_bool(X1),X2)) ) )
        & ( size_size_list_bool(X0) = size_size_list_bool(X1) ) ) ),
    inference(rectify,[],[f3695]) ).

tff(f3695,axiom,
    ! [X30: list_bool,X142: list_bool] :
      ( ( X30 = X142 )
    <=> ( ! [X109: nat] :
            ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X109),size_size_list_bool(X30)))
           => ( pp(aa_nat_bool(nth_bool(X30),X109))
            <=> pp(aa_nat_bool(nth_bool(X142),X109)) ) )
        & ( size_size_list_bool(X30) = size_size_list_bool(X142) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3694_list__eq__iff__nth__eq) ).

tff(f80063,plain,
    spl3933_405,
    inference(avatar_split_clause,[],[f45107,f80061]) ).

tff(f80061,plain,
    ( spl3933_405
  <=> ! [X0: list_nat,X1: nat] :
        ( ( nil_nat = X0 )
        | ~ sP82(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_405])]) ).

tff(f45107,plain,
    ! [X0: list_nat,X1: nat] :
      ( ( nil_nat = X0 )
      | ~ sP82(X0,X1) ),
    inference(cnf_transformation,[],[f31557]) ).

tff(f31557,plain,
    ! [X0: list_nat,X1: nat] :
      ( ( pp(aa_nat_bool(accp_nat(nat_list_decode_rel),zero_zero_nat))
        & ( nil_nat = X0 )
        & ( zero_zero_nat = X1 ) )
      | ~ sP82(X0,X1) ),
    inference(rectify,[],[f31556]) ).

tff(f31556,plain,
    ! [X1: list_nat,X0: nat] :
      ( ( pp(aa_nat_bool(accp_nat(nat_list_decode_rel),zero_zero_nat))
        & ( nil_nat = X1 )
        & ( zero_zero_nat = X0 ) )
      | ~ sP82(X1,X0) ),
    inference(nnf_transformation,[],[f28601]) ).

tff(f28601,plain,
    ! [X1: list_nat,X0: nat] :
      ( ( pp(aa_nat_bool(accp_nat(nat_list_decode_rel),zero_zero_nat))
        & ( nil_nat = X1 )
        & ( zero_zero_nat = X0 ) )
      | ~ sP82(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).

tff(f80059,plain,
    spl3933_404,
    inference(avatar_split_clause,[],[f45106,f80057]) ).

tff(f80057,plain,
    ( spl3933_404
  <=> ! [X0: list_nat,X1: nat] :
        ( ( zero_zero_nat = X1 )
        | ~ sP82(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_404])]) ).

tff(f45106,plain,
    ! [X0: list_nat,X1: nat] :
      ( ( zero_zero_nat = X1 )
      | ~ sP82(X0,X1) ),
    inference(cnf_transformation,[],[f31557]) ).

tff(f80055,plain,
    spl3933_403,
    inference(avatar_split_clause,[],[f45097,f80053]) ).

tff(f80053,plain,
    ( spl3933_403
  <=> ! [X0: nat,X1: list_nat] :
        ( ( zero_zero_nat = X0 )
        | ~ sP81(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_403])]) ).

tff(f45097,plain,
    ! [X0: nat,X1: list_nat] :
      ( ( zero_zero_nat = X0 )
      | ~ sP81(X0,X1) ),
    inference(cnf_transformation,[],[f31551]) ).

tff(f31551,plain,
    ! [X0: nat,X1: list_nat] :
      ( ( pp(aa_list_nat_bool(accp_list_nat(nat_list_encode_rel),nil_nat))
        & ( zero_zero_nat = X0 )
        & ( nil_nat = X1 ) )
      | ~ sP81(X0,X1) ),
    inference(rectify,[],[f31550]) ).

tff(f31550,plain,
    ! [X1: nat,X0: list_nat] :
      ( ( pp(aa_list_nat_bool(accp_list_nat(nat_list_encode_rel),nil_nat))
        & ( zero_zero_nat = X1 )
        & ( nil_nat = X0 ) )
      | ~ sP81(X1,X0) ),
    inference(nnf_transformation,[],[f28599]) ).

tff(f28599,plain,
    ! [X1: nat,X0: list_nat] :
      ( ( pp(aa_list_nat_bool(accp_list_nat(nat_list_encode_rel),nil_nat))
        & ( zero_zero_nat = X1 )
        & ( nil_nat = X0 ) )
      | ~ sP81(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).

tff(f80051,plain,
    spl3933_402,
    inference(avatar_split_clause,[],[f45096,f80049]) ).

tff(f80049,plain,
    ( spl3933_402
  <=> ! [X0: nat,X1: list_nat] :
        ( ( nil_nat = X1 )
        | ~ sP81(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_402])]) ).

tff(f45096,plain,
    ! [X0: nat,X1: list_nat] :
      ( ( nil_nat = X1 )
      | ~ sP81(X0,X1) ),
    inference(cnf_transformation,[],[f31551]) ).

tff(f80047,plain,
    spl3933_401,
    inference(avatar_split_clause,[],[f44900,f80045]) ).

tff(f80045,plain,
    ( spl3933_401
  <=> ! [X0: fun_int_bool] :
        ( ( zero_zero_int != sK1624(X0) )
        | ~ sP57(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_401])]) ).

tff(f44900,plain,
    ! [X0: fun_int_bool] :
      ( ( zero_zero_int != sK1624(X0) )
      | ~ sP57(X0) ),
    inference(cnf_transformation,[],[f31395]) ).

tff(f31395,plain,
    ! [X0: fun_int_bool] :
      ( ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,sK1624(X0)),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
        & ( zero_zero_int != sK1624(X0) )
        & pp(aa_int_bool(X0,sK1624(X0))) )
      | ~ sP57(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1624])],[f31393,f31394]) ).

tff(f31394,plain,
    ! [X0: fun_int_bool] :
      ( ? [X1: int] :
          ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
          & ( zero_zero_int != X1 )
          & pp(aa_int_bool(X0,X1)) )
     => ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,sK1624(X0)),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
        & ( zero_zero_int != sK1624(X0) )
        & pp(aa_int_bool(X0,sK1624(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31393,plain,
    ! [X0: fun_int_bool] :
      ( ? [X1: int] :
          ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,X1),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
          & ( zero_zero_int != X1 )
          & pp(aa_int_bool(X0,X1)) )
      | ~ sP57(X0) ),
    inference(rectify,[],[f31392]) ).

tff(f31392,plain,
    ! [X0: fun_int_bool] :
      ( ? [X2: int] :
          ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,X2),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
          & ( zero_zero_int != X2 )
          & pp(aa_int_bool(X0,X2)) )
      | ~ sP57(X0) ),
    inference(nnf_transformation,[],[f28565]) ).

tff(f28565,plain,
    ! [X0: fun_int_bool] :
      ( ? [X2: int] :
          ( ~ pp(aa_int_bool(X0,aa_int_int(aa_int_fun_int_int(times_times_int,X2),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))
          & ( zero_zero_int != X2 )
          & pp(aa_int_bool(X0,X2)) )
      | ~ sP57(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).

tff(f80043,plain,
    spl3933_400,
    inference(avatar_split_clause,[],[f44824,f80041]) ).

tff(f80041,plain,
    ( spl3933_400
  <=> ! [X0: fun_set_nat_bool] :
        ( ( bot_bot_set_nat != sK1595(X0) )
        | ~ sP51(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_400])]) ).

tff(f44824,plain,
    ! [X0: fun_set_nat_bool] :
      ( ( bot_bot_set_nat != sK1595(X0) )
      | ~ sP51(X0) ),
    inference(cnf_transformation,[],[f31332]) ).

tff(f31332,plain,
    ! [X0: fun_set_nat_bool] :
      ( ( ~ pp(aa_set_nat_bool(X0,insert_nat(sK1594(X0),sK1595(X0))))
        & pp(aa_set_nat_bool(X0,sK1595(X0)))
        & ~ pp(aa_set_nat_bool(member_nat(sK1594(X0)),sK1595(X0)))
        & ( bot_bot_set_nat != sK1595(X0) )
        & pp(aa_set_nat_bool(finite_finite_nat,sK1595(X0))) )
      | ~ sP51(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1594,sK1595])],[f31330,f31331]) ).

tff(f31331,plain,
    ! [X0: fun_set_nat_bool] :
      ( ? [X1: nat,X2: set_nat] :
          ( ~ pp(aa_set_nat_bool(X0,insert_nat(X1,X2)))
          & pp(aa_set_nat_bool(X0,X2))
          & ~ pp(aa_set_nat_bool(member_nat(X1),X2))
          & ( bot_bot_set_nat != X2 )
          & pp(aa_set_nat_bool(finite_finite_nat,X2)) )
     => ( ~ pp(aa_set_nat_bool(X0,insert_nat(sK1594(X0),sK1595(X0))))
        & pp(aa_set_nat_bool(X0,sK1595(X0)))
        & ~ pp(aa_set_nat_bool(member_nat(sK1594(X0)),sK1595(X0)))
        & ( bot_bot_set_nat != sK1595(X0) )
        & pp(aa_set_nat_bool(finite_finite_nat,sK1595(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31330,plain,
    ! [X0: fun_set_nat_bool] :
      ( ? [X1: nat,X2: set_nat] :
          ( ~ pp(aa_set_nat_bool(X0,insert_nat(X1,X2)))
          & pp(aa_set_nat_bool(X0,X2))
          & ~ pp(aa_set_nat_bool(member_nat(X1),X2))
          & ( bot_bot_set_nat != X2 )
          & pp(aa_set_nat_bool(finite_finite_nat,X2)) )
      | ~ sP51(X0) ),
    inference(rectify,[],[f31329]) ).

tff(f31329,plain,
    ! [X1: fun_set_nat_bool] :
      ( ? [X3: nat,X4: set_nat] :
          ( ~ pp(aa_set_nat_bool(X1,insert_nat(X3,X4)))
          & pp(aa_set_nat_bool(X1,X4))
          & ~ pp(aa_set_nat_bool(member_nat(X3),X4))
          & ( bot_bot_set_nat != X4 )
          & pp(aa_set_nat_bool(finite_finite_nat,X4)) )
      | ~ sP51(X1) ),
    inference(nnf_transformation,[],[f28554]) ).

tff(f28554,plain,
    ! [X1: fun_set_nat_bool] :
      ( ? [X3: nat,X4: set_nat] :
          ( ~ pp(aa_set_nat_bool(X1,insert_nat(X3,X4)))
          & pp(aa_set_nat_bool(X1,X4))
          & ~ pp(aa_set_nat_bool(member_nat(X3),X4))
          & ( bot_bot_set_nat != X4 )
          & pp(aa_set_nat_bool(finite_finite_nat,X4)) )
      | ~ sP51(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).

tff(f80039,plain,
    spl3933_399,
    inference(avatar_split_clause,[],[f44749,f80037]) ).

tff(f80037,plain,
    ( spl3933_399
  <=> ! [X0: fun_set_complex_bool] :
        ( ( bot_bot_set_complex != sK1567(X0) )
        | ~ sP43(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_399])]) ).

tff(f44749,plain,
    ! [X0: fun_set_complex_bool] :
      ( ( bot_bot_set_complex != sK1567(X0) )
      | ~ sP43(X0) ),
    inference(cnf_transformation,[],[f31267]) ).

tff(f31267,plain,
    ! [X0: fun_set_complex_bool] :
      ( ( ~ pp(aa_set_complex_bool(X0,insert_complex(sK1566(X0),sK1567(X0))))
        & pp(aa_set_complex_bool(X0,sK1567(X0)))
        & ~ pp(aa_set_complex_bool(member_complex(sK1566(X0)),sK1567(X0)))
        & ( bot_bot_set_complex != sK1567(X0) )
        & pp(aa_set_complex_bool(finite3207457112153483333omplex,sK1567(X0))) )
      | ~ sP43(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1566,sK1567])],[f31265,f31266]) ).

tff(f31266,plain,
    ! [X0: fun_set_complex_bool] :
      ( ? [X1: complex,X2: set_complex] :
          ( ~ pp(aa_set_complex_bool(X0,insert_complex(X1,X2)))
          & pp(aa_set_complex_bool(X0,X2))
          & ~ pp(aa_set_complex_bool(member_complex(X1),X2))
          & ( bot_bot_set_complex != X2 )
          & pp(aa_set_complex_bool(finite3207457112153483333omplex,X2)) )
     => ( ~ pp(aa_set_complex_bool(X0,insert_complex(sK1566(X0),sK1567(X0))))
        & pp(aa_set_complex_bool(X0,sK1567(X0)))
        & ~ pp(aa_set_complex_bool(member_complex(sK1566(X0)),sK1567(X0)))
        & ( bot_bot_set_complex != sK1567(X0) )
        & pp(aa_set_complex_bool(finite3207457112153483333omplex,sK1567(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31265,plain,
    ! [X0: fun_set_complex_bool] :
      ( ? [X1: complex,X2: set_complex] :
          ( ~ pp(aa_set_complex_bool(X0,insert_complex(X1,X2)))
          & pp(aa_set_complex_bool(X0,X2))
          & ~ pp(aa_set_complex_bool(member_complex(X1),X2))
          & ( bot_bot_set_complex != X2 )
          & pp(aa_set_complex_bool(finite3207457112153483333omplex,X2)) )
      | ~ sP43(X0) ),
    inference(rectify,[],[f31264]) ).

tff(f31264,plain,
    ! [X1: fun_set_complex_bool] :
      ( ? [X3: complex,X4: set_complex] :
          ( ~ pp(aa_set_complex_bool(X1,insert_complex(X3,X4)))
          & pp(aa_set_complex_bool(X1,X4))
          & ~ pp(aa_set_complex_bool(member_complex(X3),X4))
          & ( bot_bot_set_complex != X4 )
          & pp(aa_set_complex_bool(finite3207457112153483333omplex,X4)) )
      | ~ sP43(X1) ),
    inference(nnf_transformation,[],[f28539]) ).

tff(f28539,plain,
    ! [X1: fun_set_complex_bool] :
      ( ? [X3: complex,X4: set_complex] :
          ( ~ pp(aa_set_complex_bool(X1,insert_complex(X3,X4)))
          & pp(aa_set_complex_bool(X1,X4))
          & ~ pp(aa_set_complex_bool(member_complex(X3),X4))
          & ( bot_bot_set_complex != X4 )
          & pp(aa_set_complex_bool(finite3207457112153483333omplex,X4)) )
      | ~ sP43(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).

tff(f80035,plain,
    spl3933_398,
    inference(avatar_split_clause,[],[f44679,f80033]) ).

tff(f80033,plain,
    ( spl3933_398
  <=> ! [X0: fun_set_bool_bool] :
        ( ( bot_bot_set_bool != sK1538(X0) )
        | ~ sP37(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_398])]) ).

tff(f44679,plain,
    ! [X0: fun_set_bool_bool] :
      ( ( bot_bot_set_bool != sK1538(X0) )
      | ~ sP37(X0) ),
    inference(cnf_transformation,[],[f31210]) ).

tff(f31210,plain,
    ! [X0: fun_set_bool_bool] :
      ( ( ~ pp(aa_set_bool_bool(X0,insert_bool(sK1537(X0),sK1538(X0))))
        & pp(aa_set_bool_bool(X0,sK1538(X0)))
        & ~ pp(aa_set_bool_bool(member_bool(sK1537(X0)),sK1538(X0)))
        & ( bot_bot_set_bool != sK1538(X0) )
        & pp(aa_set_bool_bool(finite_finite_bool,sK1538(X0))) )
      | ~ sP37(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1537,sK1538])],[f31208,f31209]) ).

tff(f31209,plain,
    ! [X0: fun_set_bool_bool] :
      ( ? [X1: bool,X2: set_bool] :
          ( ~ pp(aa_set_bool_bool(X0,insert_bool(X1,X2)))
          & pp(aa_set_bool_bool(X0,X2))
          & ~ pp(aa_set_bool_bool(member_bool(X1),X2))
          & ( bot_bot_set_bool != X2 )
          & pp(aa_set_bool_bool(finite_finite_bool,X2)) )
     => ( ~ pp(aa_set_bool_bool(X0,insert_bool(sK1537(X0),sK1538(X0))))
        & pp(aa_set_bool_bool(X0,sK1538(X0)))
        & ~ pp(aa_set_bool_bool(member_bool(sK1537(X0)),sK1538(X0)))
        & ( bot_bot_set_bool != sK1538(X0) )
        & pp(aa_set_bool_bool(finite_finite_bool,sK1538(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31208,plain,
    ! [X0: fun_set_bool_bool] :
      ( ? [X1: bool,X2: set_bool] :
          ( ~ pp(aa_set_bool_bool(X0,insert_bool(X1,X2)))
          & pp(aa_set_bool_bool(X0,X2))
          & ~ pp(aa_set_bool_bool(member_bool(X1),X2))
          & ( bot_bot_set_bool != X2 )
          & pp(aa_set_bool_bool(finite_finite_bool,X2)) )
      | ~ sP37(X0) ),
    inference(rectify,[],[f31207]) ).

tff(f31207,plain,
    ! [X1: fun_set_bool_bool] :
      ( ? [X3: bool,X4: set_bool] :
          ( ~ pp(aa_set_bool_bool(X1,insert_bool(X3,X4)))
          & pp(aa_set_bool_bool(X1,X4))
          & ~ pp(aa_set_bool_bool(member_bool(X3),X4))
          & ( bot_bot_set_bool != X4 )
          & pp(aa_set_bool_bool(finite_finite_bool,X4)) )
      | ~ sP37(X1) ),
    inference(nnf_transformation,[],[f28527]) ).

tff(f28527,plain,
    ! [X1: fun_set_bool_bool] :
      ( ? [X3: bool,X4: set_bool] :
          ( ~ pp(aa_set_bool_bool(X1,insert_bool(X3,X4)))
          & pp(aa_set_bool_bool(X1,X4))
          & ~ pp(aa_set_bool_bool(member_bool(X3),X4))
          & ( bot_bot_set_bool != X4 )
          & pp(aa_set_bool_bool(finite_finite_bool,X4)) )
      | ~ sP37(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

tff(f80031,plain,
    spl3933_397,
    inference(avatar_split_clause,[],[f44608,f80029]) ).

tff(f80029,plain,
    ( spl3933_397
  <=> ! [X0: fun_set_int_bool] :
        ( ( bot_bot_set_int != sK1508(X0) )
        | ~ sP31(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_397])]) ).

tff(f44608,plain,
    ! [X0: fun_set_int_bool] :
      ( ( bot_bot_set_int != sK1508(X0) )
      | ~ sP31(X0) ),
    inference(cnf_transformation,[],[f31151]) ).

tff(f31151,plain,
    ! [X0: fun_set_int_bool] :
      ( ( ~ pp(aa_set_int_bool(X0,insert_int(sK1507(X0),sK1508(X0))))
        & pp(aa_set_int_bool(X0,sK1508(X0)))
        & ~ pp(aa_set_int_bool(member_int(sK1507(X0)),sK1508(X0)))
        & ( bot_bot_set_int != sK1508(X0) )
        & pp(aa_set_int_bool(finite_finite_int,sK1508(X0))) )
      | ~ sP31(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1507,sK1508])],[f31149,f31150]) ).

tff(f31150,plain,
    ! [X0: fun_set_int_bool] :
      ( ? [X1: int,X2: set_int] :
          ( ~ pp(aa_set_int_bool(X0,insert_int(X1,X2)))
          & pp(aa_set_int_bool(X0,X2))
          & ~ pp(aa_set_int_bool(member_int(X1),X2))
          & ( bot_bot_set_int != X2 )
          & pp(aa_set_int_bool(finite_finite_int,X2)) )
     => ( ~ pp(aa_set_int_bool(X0,insert_int(sK1507(X0),sK1508(X0))))
        & pp(aa_set_int_bool(X0,sK1508(X0)))
        & ~ pp(aa_set_int_bool(member_int(sK1507(X0)),sK1508(X0)))
        & ( bot_bot_set_int != sK1508(X0) )
        & pp(aa_set_int_bool(finite_finite_int,sK1508(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31149,plain,
    ! [X0: fun_set_int_bool] :
      ( ? [X1: int,X2: set_int] :
          ( ~ pp(aa_set_int_bool(X0,insert_int(X1,X2)))
          & pp(aa_set_int_bool(X0,X2))
          & ~ pp(aa_set_int_bool(member_int(X1),X2))
          & ( bot_bot_set_int != X2 )
          & pp(aa_set_int_bool(finite_finite_int,X2)) )
      | ~ sP31(X0) ),
    inference(rectify,[],[f31148]) ).

tff(f31148,plain,
    ! [X1: fun_set_int_bool] :
      ( ? [X3: int,X4: set_int] :
          ( ~ pp(aa_set_int_bool(X1,insert_int(X3,X4)))
          & pp(aa_set_int_bool(X1,X4))
          & ~ pp(aa_set_int_bool(member_int(X3),X4))
          & ( bot_bot_set_int != X4 )
          & pp(aa_set_int_bool(finite_finite_int,X4)) )
      | ~ sP31(X1) ),
    inference(nnf_transformation,[],[f28515]) ).

tff(f28515,plain,
    ! [X1: fun_set_int_bool] :
      ( ? [X3: int,X4: set_int] :
          ( ~ pp(aa_set_int_bool(X1,insert_int(X3,X4)))
          & pp(aa_set_int_bool(X1,X4))
          & ~ pp(aa_set_int_bool(member_int(X3),X4))
          & ( bot_bot_set_int != X4 )
          & pp(aa_set_int_bool(finite_finite_int,X4)) )
      | ~ sP31(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

tff(f80027,plain,
    spl3933_396,
    inference(avatar_split_clause,[],[f44536,f80025]) ).

tff(f80025,plain,
    ( spl3933_396
  <=> ! [X0: fun_set_real_bool] :
        ( ( bot_bot_set_real != sK1477(X0) )
        | ~ sP24(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_396])]) ).

tff(f44536,plain,
    ! [X0: fun_set_real_bool] :
      ( ( bot_bot_set_real != sK1477(X0) )
      | ~ sP24(X0) ),
    inference(cnf_transformation,[],[f31090]) ).

tff(f31090,plain,
    ! [X0: fun_set_real_bool] :
      ( ( ~ pp(aa_set_real_bool(X0,insert_real(sK1476(X0),sK1477(X0))))
        & pp(aa_set_real_bool(X0,sK1477(X0)))
        & ~ pp(aa_set_real_bool(member_real(sK1476(X0)),sK1477(X0)))
        & ( bot_bot_set_real != sK1477(X0) )
        & pp(aa_set_real_bool(finite_finite_real,sK1477(X0))) )
      | ~ sP24(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1476,sK1477])],[f31088,f31089]) ).

tff(f31089,plain,
    ! [X0: fun_set_real_bool] :
      ( ? [X1: real,X2: set_real] :
          ( ~ pp(aa_set_real_bool(X0,insert_real(X1,X2)))
          & pp(aa_set_real_bool(X0,X2))
          & ~ pp(aa_set_real_bool(member_real(X1),X2))
          & ( bot_bot_set_real != X2 )
          & pp(aa_set_real_bool(finite_finite_real,X2)) )
     => ( ~ pp(aa_set_real_bool(X0,insert_real(sK1476(X0),sK1477(X0))))
        & pp(aa_set_real_bool(X0,sK1477(X0)))
        & ~ pp(aa_set_real_bool(member_real(sK1476(X0)),sK1477(X0)))
        & ( bot_bot_set_real != sK1477(X0) )
        & pp(aa_set_real_bool(finite_finite_real,sK1477(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31088,plain,
    ! [X0: fun_set_real_bool] :
      ( ? [X1: real,X2: set_real] :
          ( ~ pp(aa_set_real_bool(X0,insert_real(X1,X2)))
          & pp(aa_set_real_bool(X0,X2))
          & ~ pp(aa_set_real_bool(member_real(X1),X2))
          & ( bot_bot_set_real != X2 )
          & pp(aa_set_real_bool(finite_finite_real,X2)) )
      | ~ sP24(X0) ),
    inference(rectify,[],[f31087]) ).

tff(f31087,plain,
    ! [X1: fun_set_real_bool] :
      ( ? [X3: real,X4: set_real] :
          ( ~ pp(aa_set_real_bool(X1,insert_real(X3,X4)))
          & pp(aa_set_real_bool(X1,X4))
          & ~ pp(aa_set_real_bool(member_real(X3),X4))
          & ( bot_bot_set_real != X4 )
          & pp(aa_set_real_bool(finite_finite_real,X4)) )
      | ~ sP24(X1) ),
    inference(nnf_transformation,[],[f28501]) ).

tff(f28501,plain,
    ! [X1: fun_set_real_bool] :
      ( ? [X3: real,X4: set_real] :
          ( ~ pp(aa_set_real_bool(X1,insert_real(X3,X4)))
          & pp(aa_set_real_bool(X1,X4))
          & ~ pp(aa_set_real_bool(member_real(X3),X4))
          & ( bot_bot_set_real != X4 )
          & pp(aa_set_real_bool(finite_finite_real,X4)) )
      | ~ sP24(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

tff(f80023,plain,
    spl3933_395,
    inference(avatar_split_clause,[],[f44480,f80021]) ).

tff(f80021,plain,
    ( spl3933_395
  <=> ! [X0: fun_se8074476271188067385t_bool] :
        ( ( bot_bo2099793752762293965at_nat != sK1456(X0) )
        | ~ sP18(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_395])]) ).

tff(f44480,plain,
    ! [X0: fun_se8074476271188067385t_bool] :
      ( ( bot_bo2099793752762293965at_nat != sK1456(X0) )
      | ~ sP18(X0) ),
    inference(cnf_transformation,[],[f31043]) ).

tff(f31043,plain,
    ! [X0: fun_se8074476271188067385t_bool] :
      ( ( ~ pp(aa_set3135850010578026034t_bool(X0,insert8211810215607154385at_nat(sK1455(X0),sK1456(X0))))
        & pp(aa_set3135850010578026034t_bool(X0,sK1456(X0)))
        & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(sK1455(X0)),sK1456(X0)))
        & ( bot_bo2099793752762293965at_nat != sK1456(X0) )
        & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,sK1456(X0))) )
      | ~ sP18(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1455,sK1456])],[f31041,f31042]) ).

tff(f31042,plain,
    ! [X0: fun_se8074476271188067385t_bool] :
      ( ? [X1: product_prod_nat_nat,X2: set_Pr1261947904930325089at_nat] :
          ( ~ pp(aa_set3135850010578026034t_bool(X0,insert8211810215607154385at_nat(X1,X2)))
          & pp(aa_set3135850010578026034t_bool(X0,X2))
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X1),X2))
          & ( bot_bo2099793752762293965at_nat != X2 )
          & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,X2)) )
     => ( ~ pp(aa_set3135850010578026034t_bool(X0,insert8211810215607154385at_nat(sK1455(X0),sK1456(X0))))
        & pp(aa_set3135850010578026034t_bool(X0,sK1456(X0)))
        & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(sK1455(X0)),sK1456(X0)))
        & ( bot_bo2099793752762293965at_nat != sK1456(X0) )
        & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,sK1456(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31041,plain,
    ! [X0: fun_se8074476271188067385t_bool] :
      ( ? [X1: product_prod_nat_nat,X2: set_Pr1261947904930325089at_nat] :
          ( ~ pp(aa_set3135850010578026034t_bool(X0,insert8211810215607154385at_nat(X1,X2)))
          & pp(aa_set3135850010578026034t_bool(X0,X2))
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X1),X2))
          & ( bot_bo2099793752762293965at_nat != X2 )
          & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,X2)) )
      | ~ sP18(X0) ),
    inference(rectify,[],[f31040]) ).

tff(f31040,plain,
    ! [X1: fun_se8074476271188067385t_bool] :
      ( ? [X3: product_prod_nat_nat,X4: set_Pr1261947904930325089at_nat] :
          ( ~ pp(aa_set3135850010578026034t_bool(X1,insert8211810215607154385at_nat(X3,X4)))
          & pp(aa_set3135850010578026034t_bool(X1,X4))
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X3),X4))
          & ( bot_bo2099793752762293965at_nat != X4 )
          & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,X4)) )
      | ~ sP18(X1) ),
    inference(nnf_transformation,[],[f28490]) ).

tff(f28490,plain,
    ! [X1: fun_se8074476271188067385t_bool] :
      ( ? [X3: product_prod_nat_nat,X4: set_Pr1261947904930325089at_nat] :
          ( ~ pp(aa_set3135850010578026034t_bool(X1,insert8211810215607154385at_nat(X3,X4)))
          & pp(aa_set3135850010578026034t_bool(X1,X4))
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X3),X4))
          & ( bot_bo2099793752762293965at_nat != X4 )
          & pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,X4)) )
      | ~ sP18(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

tff(f80019,plain,
    spl3933_394,
    inference(avatar_split_clause,[],[f44449,f80017]) ).

tff(f80017,plain,
    ( spl3933_394
  <=> ! [X0: fun_se8353504738346895699t_bool] :
        ( ( bot_bo228742789529271731at_nat != sK1446(X0) )
        | ~ sP15(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_394])]) ).

tff(f44449,plain,
    ! [X0: fun_se8353504738346895699t_bool] :
      ( ( bot_bo228742789529271731at_nat != sK1446(X0) )
      | ~ sP15(X0) ),
    inference(cnf_transformation,[],[f31024]) ).

tff(f31024,plain,
    ! [X0: fun_se8353504738346895699t_bool] :
      ( ( ~ pp(aa_set4148026973699692364t_bool(X0,insert9069300056098147895at_nat(sK1445(X0),sK1446(X0))))
        & pp(aa_set4148026973699692364t_bool(X0,sK1446(X0)))
        & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(sK1445(X0)),sK1446(X0)))
        & ( bot_bo228742789529271731at_nat != sK1446(X0) )
        & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,sK1446(X0))) )
      | ~ sP15(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1445,sK1446])],[f31022,f31023]) ).

tff(f31023,plain,
    ! [X0: fun_se8353504738346895699t_bool] :
      ( ? [X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
          ( ~ pp(aa_set4148026973699692364t_bool(X0,insert9069300056098147895at_nat(X1,X2)))
          & pp(aa_set4148026973699692364t_bool(X0,X2))
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X1),X2))
          & ( bot_bo228742789529271731at_nat != X2 )
          & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X2)) )
     => ( ~ pp(aa_set4148026973699692364t_bool(X0,insert9069300056098147895at_nat(sK1445(X0),sK1446(X0))))
        & pp(aa_set4148026973699692364t_bool(X0,sK1446(X0)))
        & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(sK1445(X0)),sK1446(X0)))
        & ( bot_bo228742789529271731at_nat != sK1446(X0) )
        & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,sK1446(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f31022,plain,
    ! [X0: fun_se8353504738346895699t_bool] :
      ( ? [X1: produc3843707927480180839at_nat,X2: set_Pr4329608150637261639at_nat] :
          ( ~ pp(aa_set4148026973699692364t_bool(X0,insert9069300056098147895at_nat(X1,X2)))
          & pp(aa_set4148026973699692364t_bool(X0,X2))
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X1),X2))
          & ( bot_bo228742789529271731at_nat != X2 )
          & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X2)) )
      | ~ sP15(X0) ),
    inference(rectify,[],[f31021]) ).

tff(f31021,plain,
    ! [X1: fun_se8353504738346895699t_bool] :
      ( ? [X3: produc3843707927480180839at_nat,X4: set_Pr4329608150637261639at_nat] :
          ( ~ pp(aa_set4148026973699692364t_bool(X1,insert9069300056098147895at_nat(X3,X4)))
          & pp(aa_set4148026973699692364t_bool(X1,X4))
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X3),X4))
          & ( bot_bo228742789529271731at_nat != X4 )
          & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X4)) )
      | ~ sP15(X1) ),
    inference(nnf_transformation,[],[f28484]) ).

tff(f28484,plain,
    ! [X1: fun_se8353504738346895699t_bool] :
      ( ? [X3: produc3843707927480180839at_nat,X4: set_Pr4329608150637261639at_nat] :
          ( ~ pp(aa_set4148026973699692364t_bool(X1,insert9069300056098147895at_nat(X3,X4)))
          & pp(aa_set4148026973699692364t_bool(X1,X4))
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X3),X4))
          & ( bot_bo228742789529271731at_nat != X4 )
          & pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X4)) )
      | ~ sP15(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

tff(f80015,plain,
    spl3933_393,
    inference(avatar_split_clause,[],[f44392,f80013]) ).

tff(f80013,plain,
    ( spl3933_393
  <=> ! [X0: option_nat,X1: vEBT_VEBT] :
        ( ( none_nat = X0 )
        | ~ sP12(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_393])]) ).

tff(f44392,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( none_nat = X0 )
      | ~ sP12(X0,X1) ),
    inference(cnf_transformation,[],[f30983]) ).

tff(f30983,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1412(X0,X1),sK1413(X0,X1),sK1414(X0,X1))))
        & ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1412(X0,X1),sK1413(X0,X1),sK1414(X0,X1)) = X1 ) )
      | ~ sP12(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1412,sK1413,sK1414])],[f30981,f30982]) ).

tff(f30982,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & ( none_nat = X0 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1412(X0,X1),sK1413(X0,X1),sK1414(X0,X1))))
        & ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1412(X0,X1),sK1413(X0,X1),sK1414(X0,X1)) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f30981,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & ( none_nat = X0 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP12(X0,X1) ),
    inference(rectify,[],[f30980]) ).

tff(f30980,plain,
    ! [X1: option_nat,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & ( none_nat = X1 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP12(X1,X0) ),
    inference(nnf_transformation,[],[f28478]) ).

tff(f28478,plain,
    ! [X1: option_nat,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_mint_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & ( none_nat = X1 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP12(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

tff(f80011,plain,
    spl3933_392,
    inference(avatar_split_clause,[],[f44369,f80009]) ).

tff(f80009,plain,
    ( spl3933_392
  <=> ! [X0: option_nat,X1: vEBT_VEBT] :
        ( ( none_nat = X0 )
        | ~ sP8(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_392])]) ).

tff(f44369,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( none_nat = X0 )
      | ~ sP8(X0,X1) ),
    inference(cnf_transformation,[],[f30961]) ).

tff(f30961,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1392(X0,X1),sK1393(X0,X1),sK1394(X0,X1))))
        & ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1392(X0,X1),sK1393(X0,X1),sK1394(X0,X1)) = X1 ) )
      | ~ sP8(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1392,sK1393,sK1394])],[f30959,f30960]) ).

tff(f30960,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & ( none_nat = X0 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1392(X0,X1),sK1393(X0,X1),sK1394(X0,X1))))
        & ( none_nat = X0 )
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1392(X0,X1),sK1393(X0,X1),sK1394(X0,X1)) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f30959,plain,
    ! [X0: option_nat,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & ( none_nat = X0 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP8(X0,X1) ),
    inference(rectify,[],[f30958]) ).

tff(f30958,plain,
    ! [X1: option_nat,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & ( none_nat = X1 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP8(X1,X0) ),
    inference(nnf_transformation,[],[f28472]) ).

tff(f28472,plain,
    ! [X1: option_nat,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_vebt_maxt_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & ( none_nat = X1 )
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP8(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

tff(f80007,plain,
    spl3933_391,
    inference(avatar_split_clause,[],[f44351,f80005]) ).

tff(f80005,plain,
    ( spl3933_391
  <=> ! [X0: vEBT_VEBT,X1: nat] :
        ( ( zero_zero_nat = X1 )
        | ~ sP4(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_391])]) ).

tff(f44351,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( zero_zero_nat = X1 )
      | ~ sP4(X0,X1) ),
    inference(cnf_transformation,[],[f30949]) ).

tff(f30949,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( pp(aa_nat_bool(accp_nat(vEBT_v4011308405150292612up_rel),zero_zero_nat))
        & ( vEBT_Leaf(fFalse,fFalse) = X0 )
        & ( zero_zero_nat = X1 ) )
      | ~ sP4(X0,X1) ),
    inference(rectify,[],[f30948]) ).

tff(f30948,plain,
    ! [X1: vEBT_VEBT,X0: nat] :
      ( ( pp(aa_nat_bool(accp_nat(vEBT_v4011308405150292612up_rel),zero_zero_nat))
        & ( vEBT_Leaf(fFalse,fFalse) = X1 )
        & ( zero_zero_nat = X0 ) )
      | ~ sP4(X1,X0) ),
    inference(nnf_transformation,[],[f28466]) ).

tff(f28466,plain,
    ! [X1: vEBT_VEBT,X0: nat] :
      ( ( pp(aa_nat_bool(accp_nat(vEBT_v4011308405150292612up_rel),zero_zero_nat))
        & ( vEBT_Leaf(fFalse,fFalse) = X1 )
        & ( zero_zero_nat = X0 ) )
      | ~ sP4(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

tff(f80003,plain,
    spl3933_390,
    inference(avatar_split_clause,[],[f42417,f80001]) ).

tff(f80001,plain,
    ( spl3933_390
  <=> ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fTrue,X0,X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_390])]) ).

tff(f42417,plain,
    ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fTrue,X0,X1) = X0 ),
    inference(cnf_transformation,[],[f13409]) ).

tff(f13409,plain,
    ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fTrue,X0,X1) = X0 ),
    inference(rectify,[],[f10932]) ).

tff(f10932,axiom,
    ! [X18: option_nat,X21: option_nat] : ( if_option_nat(fTrue,X18,X21) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Option__Ooption_It__Nat__Onat_J_T) ).

tff(f79999,plain,
    spl3933_389,
    inference(avatar_split_clause,[],[f42416,f79997]) ).

tff(f79997,plain,
    ( spl3933_389
  <=> ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fFalse,X0,X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_389])]) ).

tff(f42416,plain,
    ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fFalse,X0,X1) = X1 ),
    inference(cnf_transformation,[],[f13408]) ).

tff(f13408,plain,
    ! [X0: option_nat,X1: option_nat] : ( if_option_nat(fFalse,X0,X1) = X1 ),
    inference(rectify,[],[f10931]) ).

tff(f10931,axiom,
    ! [X18: option_nat,X21: option_nat] : ( if_option_nat(fFalse,X18,X21) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Option__Ooption_It__Nat__Onat_J_T) ).

tff(f79995,plain,
    spl3933_388,
    inference(avatar_split_clause,[],[f42415,f79993]) ).

tff(f79993,plain,
    ( spl3933_388
  <=> ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fTrue,X0,X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_388])]) ).

tff(f42415,plain,
    ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fTrue,X0,X1) = X0 ),
    inference(cnf_transformation,[],[f13407]) ).

tff(f13407,plain,
    ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fTrue,X0,X1) = X0 ),
    inference(rectify,[],[f10925]) ).

tff(f10925,axiom,
    ! [X18: vEBT_VEBT,X21: vEBT_VEBT] : ( if_VEBT_VEBT(fTrue,X18,X21) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__VEBT____Definitions__OVEBT_T) ).

tff(f79991,plain,
    spl3933_387,
    inference(avatar_split_clause,[],[f42414,f79989]) ).

tff(f79989,plain,
    ( spl3933_387
  <=> ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fFalse,X0,X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_387])]) ).

tff(f42414,plain,
    ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fFalse,X0,X1) = X1 ),
    inference(cnf_transformation,[],[f13406]) ).

tff(f13406,plain,
    ! [X0: vEBT_VEBT,X1: vEBT_VEBT] : ( if_VEBT_VEBT(fFalse,X0,X1) = X1 ),
    inference(rectify,[],[f10924]) ).

tff(f10924,axiom,
    ! [X18: vEBT_VEBT,X21: vEBT_VEBT] : ( if_VEBT_VEBT(fFalse,X18,X21) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__VEBT____Definitions__OVEBT_T) ).

tff(f79987,plain,
    spl3933_386,
    inference(avatar_split_clause,[],[f42413,f79985]) ).

tff(f79985,plain,
    ( spl3933_386
  <=> ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fTrue,X0,X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_386])]) ).

tff(f42413,plain,
    ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fTrue,X0,X1) = X0 ),
    inference(cnf_transformation,[],[f13405]) ).

tff(f13405,plain,
    ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fTrue,X0,X1) = X0 ),
    inference(rectify,[],[f10949]) ).

tff(f10949,axiom,
    ! [X18: produc8923325533196201883nteger,X21: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fTrue,X18,X21) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f79983,plain,
    spl3933_385,
    inference(avatar_split_clause,[],[f42412,f79981]) ).

tff(f79981,plain,
    ( spl3933_385
  <=> ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fFalse,X0,X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_385])]) ).

tff(f42412,plain,
    ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fFalse,X0,X1) = X1 ),
    inference(cnf_transformation,[],[f13404]) ).

tff(f13404,plain,
    ! [X0: produc8923325533196201883nteger,X1: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fFalse,X0,X1) = X1 ),
    inference(rectify,[],[f10948]) ).

tff(f10948,axiom,
    ! [X18: produc8923325533196201883nteger,X21: produc8923325533196201883nteger] : ( if_Pro6119634080678213985nteger(fFalse,X18,X21) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f79979,plain,
    spl3933_384,
    inference(avatar_split_clause,[],[f42411,f79977]) ).

tff(f79977,plain,
    ( spl3933_384
  <=> ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fTrue,X0,X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_384])]) ).

tff(f42411,plain,
    ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fTrue,X0,X1) = X0 ),
    inference(cnf_transformation,[],[f13403]) ).

tff(f13403,plain,
    ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fTrue,X0,X1) = X0 ),
    inference(rectify,[],[f10923]) ).

tff(f10923,axiom,
    ! [X18: code_integer,X21: code_integer] : ( if_Code_integer(fTrue,X18,X21) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Code____Numeral__Ointeger_T) ).

tff(f79975,plain,
    spl3933_383,
    inference(avatar_split_clause,[],[f42410,f79973]) ).

tff(f79973,plain,
    ( spl3933_383
  <=> ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fFalse,X0,X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_383])]) ).

tff(f42410,plain,
    ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fFalse,X0,X1) = X1 ),
    inference(cnf_transformation,[],[f13402]) ).

tff(f13402,plain,
    ! [X0: code_integer,X1: code_integer] : ( if_Code_integer(fFalse,X0,X1) = X1 ),
    inference(rectify,[],[f10922]) ).

tff(f10922,axiom,
    ! [X18: code_integer,X21: code_integer] : ( if_Code_integer(fFalse,X18,X21) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Code____Numeral__Ointeger_T) ).

tff(f79971,plain,
    spl3933_382,
    inference(avatar_split_clause,[],[f42409,f79969]) ).

tff(f79969,plain,
    ( spl3933_382
  <=> ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fTrue,X0,X1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_382])]) ).

tff(f42409,plain,
    ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fTrue,X0,X1) = X0 ),
    inference(cnf_transformation,[],[f13401]) ).

tff(f13401,plain,
    ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fTrue,X0,X1) = X0 ),
    inference(rectify,[],[f10936]) ).

tff(f10936,axiom,
    ! [X18: fun_int_int,X21: fun_int_int] : ( if_fun_int_int(fTrue,X18,X21) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__fun_It__Int__Oint_Mt__Int__Oint_J_T) ).

tff(f79967,plain,
    spl3933_381,
    inference(avatar_split_clause,[],[f42408,f79965]) ).

tff(f79965,plain,
    ( spl3933_381
  <=> ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fFalse,X0,X1) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_381])]) ).

tff(f42408,plain,
    ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fFalse,X0,X1) = X1 ),
    inference(cnf_transformation,[],[f13400]) ).

tff(f13400,plain,
    ! [X0: fun_int_int,X1: fun_int_int] : ( if_fun_int_int(fFalse,X0,X1) = X1 ),
    inference(rectify,[],[f10935]) ).

tff(f10935,axiom,
    ! [X18: fun_int_int,X21: fun_int_int] : ( if_fun_int_int(fFalse,X18,X21) = X21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__fun_It__Int__Oint_Mt__Int__Oint_J_T) ).

tff(f79963,plain,
    spl3933_380,
    inference(avatar_split_clause,[],[f42407,f79961]) ).

tff(f79961,plain,
    ( spl3933_380
  <=> ! [X0: nat,X1: vEBT_VEBT] : ( size_s6755466524823107622T_VEBT(replicate_VEBT_VEBT(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_380])]) ).

tff(f42407,plain,
    ! [X0: nat,X1: vEBT_VEBT] : ( size_s6755466524823107622T_VEBT(replicate_VEBT_VEBT(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f13399]) ).

tff(f13399,plain,
    ! [X0: nat,X1: vEBT_VEBT] : ( size_s6755466524823107622T_VEBT(replicate_VEBT_VEBT(X0,X1)) = X0 ),
    inference(rectify,[],[f5268]) ).

tff(f5268,axiom,
    ! [X28: nat,X18: vEBT_VEBT] : ( size_s6755466524823107622T_VEBT(replicate_VEBT_VEBT(X28,X18)) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5267_length__replicate) ).

tff(f79959,plain,
    spl3933_379,
    inference(avatar_split_clause,[],[f42406,f79957]) ).

tff(f79957,plain,
    ( spl3933_379
  <=> ! [X0: nat,X1: bool] : ( size_size_list_bool(replicate_bool(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_379])]) ).

tff(f42406,plain,
    ! [X0: nat,X1: bool] : ( size_size_list_bool(replicate_bool(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f13398]) ).

tff(f13398,plain,
    ! [X0: nat,X1: bool] : ( size_size_list_bool(replicate_bool(X0,X1)) = X0 ),
    inference(rectify,[],[f5269]) ).

tff(f5269,axiom,
    ! [X28: nat,X18: bool] : ( size_size_list_bool(replicate_bool(X28,X18)) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5268_length__replicate) ).

tff(f79955,plain,
    spl3933_378,
    inference(avatar_split_clause,[],[f42405,f79953]) ).

tff(f79953,plain,
    ( spl3933_378
  <=> ! [X0: nat,X1: nat] : ( size_size_list_nat(replicate_nat(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_378])]) ).

tff(f42405,plain,
    ! [X0: nat,X1: nat] : ( size_size_list_nat(replicate_nat(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f13397]) ).

tff(f13397,plain,
    ! [X0: nat,X1: nat] : ( size_size_list_nat(replicate_nat(X0,X1)) = X0 ),
    inference(rectify,[],[f5270]) ).

tff(f5270,axiom,
    ! [X28: nat,X18: nat] : ( size_size_list_nat(replicate_nat(X28,X18)) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5269_length__replicate) ).

tff(f79951,plain,
    spl3933_377,
    inference(avatar_split_clause,[],[f42404,f79949]) ).

tff(f79949,plain,
    ( spl3933_377
  <=> ! [X0: nat,X1: int] : ( size_size_list_int(replicate_int(X0,X1)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_377])]) ).

tff(f42404,plain,
    ! [X0: nat,X1: int] : ( size_size_list_int(replicate_int(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f13396]) ).

tff(f13396,plain,
    ! [X0: nat,X1: int] : ( size_size_list_int(replicate_int(X0,X1)) = X0 ),
    inference(rectify,[],[f5271]) ).

tff(f5271,axiom,
    ! [X28: nat,X18: int] : ( size_size_list_int(replicate_int(X28,X18)) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5270_length__replicate) ).

tff(f79947,plain,
    spl3933_376,
    inference(avatar_split_clause,[],[f42403,f79945]) ).

tff(f79945,plain,
    ( spl3933_376
  <=> ! [X0: fun_Pr2477239776880934807at_nat,X1: option4927543243414619207at_nat] : ( none_P5556105721700978146at_nat = vEBT_V1502963449132264192at_nat(X0,none_P5556105721700978146at_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_376])]) ).

tff(f42403,plain,
    ! [X0: fun_Pr2477239776880934807at_nat,X1: option4927543243414619207at_nat] : ( none_P5556105721700978146at_nat = vEBT_V1502963449132264192at_nat(X0,none_P5556105721700978146at_nat,X1) ),
    inference(cnf_transformation,[],[f13395]) ).

tff(f13395,plain,
    ! [X0: fun_Pr2477239776880934807at_nat,X1: option4927543243414619207at_nat] : ( none_P5556105721700978146at_nat = vEBT_V1502963449132264192at_nat(X0,none_P5556105721700978146at_nat,X1) ),
    inference(rectify,[],[f766]) ).

tff(f766,axiom,
    ! [X93: fun_Pr2477239776880934807at_nat,X94: option4927543243414619207at_nat] : ( none_P5556105721700978146at_nat = vEBT_V1502963449132264192at_nat(X93,none_P5556105721700978146at_nat,X94) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_765_VEBT__internal_Ooption__shift_Osimps_I1_J) ).

tff(f79943,plain,
    spl3933_375,
    inference(avatar_split_clause,[],[f42402,f79941]) ).

tff(f79941,plain,
    ( spl3933_375
  <=> ! [X0: fun_num_fun_num_num,X1: option_num] : ( none_num = vEBT_V819420779217536731ft_num(X0,none_num,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_375])]) ).

tff(f42402,plain,
    ! [X0: fun_num_fun_num_num,X1: option_num] : ( none_num = vEBT_V819420779217536731ft_num(X0,none_num,X1) ),
    inference(cnf_transformation,[],[f13394]) ).

tff(f13394,plain,
    ! [X0: fun_num_fun_num_num,X1: option_num] : ( none_num = vEBT_V819420779217536731ft_num(X0,none_num,X1) ),
    inference(rectify,[],[f767]) ).

tff(f767,axiom,
    ! [X93: fun_num_fun_num_num,X94: option_num] : ( none_num = vEBT_V819420779217536731ft_num(X93,none_num,X94) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_766_VEBT__internal_Ooption__shift_Osimps_I1_J) ).

tff(f79939,plain,
    spl3933_374,
    inference(avatar_split_clause,[],[f42401,f79937]) ).

tff(f79937,plain,
    ( spl3933_374
  <=> ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_374])]) ).

tff(f42401,plain,
    ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)),
    inference(cnf_transformation,[],[f13393]) ).

tff(f13393,plain,
    ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)),
    inference(rectify,[],[f543]) ).

tff(f543,axiom,
    ! [X28: nat,X18: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X28)),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_542_buildup__nothing__in__min__max) ).

tff(f79935,plain,
    spl3933_373,
    inference(avatar_split_clause,[],[f42400,f79933]) ).

tff(f79933,plain,
    ( spl3933_373
  <=> ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0)),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_373])]) ).

tff(f42400,plain,
    ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0)),X1)),
    inference(cnf_transformation,[],[f13392]) ).

tff(f13392,plain,
    ! [X0: nat,X1: nat] : ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0)),X1)),
    inference(rectify,[],[f349]) ).

tff(f349,axiom,
    ! [X28: nat,X18: nat] : ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_vebt_buildup(X28)),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_buildup__nothing__in__leaf) ).

tff(f79931,plain,
    spl3933_372,
    inference(avatar_split_clause,[],[f42368,f79929]) ).

tff(f79929,plain,
    ( spl3933_372
  <=> ! [X0: real] : ( aa_real_real(tan_real,sK1331(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_372])]) ).

tff(f42368,plain,
    ! [X0: real] : ( aa_real_real(tan_real,sK1331(X0)) = X0 ),
    inference(cnf_transformation,[],[f30847]) ).

tff(f30847,plain,
    ! [X0: real] :
      ( ! [X2: real] :
          ( ( sK1331(X0) = X2 )
          | ( aa_real_real(tan_real,X2) != X0 )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
      & ( aa_real_real(tan_real,sK1331(X0)) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,sK1331(X0)),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),sK1331(X0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1331])],[f22190,f30846]) ).

tff(f30846,plain,
    ! [X0: real] :
      ( ? [X1: real] :
          ( ! [X2: real] :
              ( ( X1 = X2 )
              | ( aa_real_real(tan_real,X2) != X0 )
              | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
              | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
          & ( aa_real_real(tan_real,X1) = X0 )
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) )
     => ( ! [X2: real] :
            ( ( sK1331(X0) = X2 )
            | ( aa_real_real(tan_real,X2) != X0 )
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
        & ( aa_real_real(tan_real,sK1331(X0)) = X0 )
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,sK1331(X0)),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),sK1331(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f22190,plain,
    ! [X0: real] :
    ? [X1: real] :
      ( ! [X2: real] :
          ( ( X1 = X2 )
          | ( aa_real_real(tan_real,X2) != X0 )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
      & ( aa_real_real(tan_real,X1) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) ),
    inference(flattening,[],[f22189]) ).

tff(f22189,plain,
    ! [X0: real] :
    ? [X1: real] :
      ( ! [X2: real] :
          ( ( X1 = X2 )
          | ( aa_real_real(tan_real,X2) != X0 )
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
          | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
      & ( aa_real_real(tan_real,X1) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) ),
    inference(ennf_transformation,[],[f13361]) ).

tff(f13361,plain,
    ! [X0: real] :
    ? [X1: real] :
      ( ! [X2: real] :
          ( ( ( aa_real_real(tan_real,X2) = X0 )
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X2),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X2)) )
         => ( X1 = X2 ) )
      & ( aa_real_real(tan_real,X1) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) ),
    inference(rectify,[],[f7533]) ).

tff(f7533,axiom,
    ! [X21: real] :
    ? [X37: real] :
      ( ! [X80: real] :
          ( ( ( aa_real_real(tan_real,X80) = X21 )
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X80),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
            & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X80)) )
         => ( X37 = X80 ) )
      & ( aa_real_real(tan_real,X37) = X21 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X37),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X37)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7532_tan__total) ).

tff(f79927,plain,
    spl3933_371,
    inference(avatar_split_clause,[],[f42365,f79925]) ).

tff(f79925,plain,
    ( spl3933_371
  <=> ! [X0: real] : ( aa_real_real(tan_real,sK1330(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_371])]) ).

tff(f42365,plain,
    ! [X0: real] : ( aa_real_real(tan_real,sK1330(X0)) = X0 ),
    inference(cnf_transformation,[],[f30845]) ).

tff(f30845,plain,
    ! [X0: real] :
      ( ( aa_real_real(tan_real,sK1330(X0)) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,sK1330(X0)),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),sK1330(X0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1330])],[f13360,f30844]) ).

tff(f30844,plain,
    ! [X0: real] :
      ( ? [X1: real] :
          ( ( aa_real_real(tan_real,X1) = X0 )
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) )
     => ( ( aa_real_real(tan_real,sK1330(X0)) = X0 )
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,sK1330(X0)),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
        & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),sK1330(X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f13360,plain,
    ! [X0: real] :
    ? [X1: real] :
      ( ( aa_real_real(tan_real,X1) = X0 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X1)) ),
    inference(rectify,[],[f7529]) ).

tff(f7529,axiom,
    ! [X21: real] :
    ? [X37: real] :
      ( ( aa_real_real(tan_real,X37) = X21 )
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X37),aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one)))))
      & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,aa_real_real(uminus_uminus_real,aa_real_real(divide_divide_real(pi),aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))))),X37)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7528_lemma__tan__total1) ).

tff(f79923,plain,
    spl3933_370,
    inference(avatar_split_clause,[],[f42323,f79921]) ).

tff(f79921,plain,
    ( spl3933_370
  <=> ! [X0: product_unit] : ( aa_bool_Product_unit(product_Abs_unit,sK1287(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_370])]) ).

tff(f42323,plain,
    ! [X0: product_unit] : ( aa_bool_Product_unit(product_Abs_unit,sK1287(X0)) = X0 ),
    inference(cnf_transformation,[],[f30784]) ).

tff(f30784,plain,
    ! [X0: product_unit] :
      ( pp(aa_set_bool_bool(member_bool(sK1287(X0)),insert_bool(fTrue,bot_bot_set_bool)))
      & ( aa_bool_Product_unit(product_Abs_unit,sK1287(X0)) = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1287])],[f22174,f30783]) ).

tff(f30783,plain,
    ! [X0: product_unit] :
      ( ? [X1: bool] :
          ( pp(aa_set_bool_bool(member_bool(X1),insert_bool(fTrue,bot_bot_set_bool)))
          & ( aa_bool_Product_unit(product_Abs_unit,X1) = X0 ) )
     => ( pp(aa_set_bool_bool(member_bool(sK1287(X0)),insert_bool(fTrue,bot_bot_set_bool)))
        & ( aa_bool_Product_unit(product_Abs_unit,sK1287(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f22174,plain,
    ! [X0: product_unit] :
    ? [X1: bool] :
      ( pp(aa_set_bool_bool(member_bool(X1),insert_bool(fTrue,bot_bot_set_bool)))
      & ( aa_bool_Product_unit(product_Abs_unit,X1) = X0 ) ),
    inference(ennf_transformation,[],[f13330]) ).

tff(f13330,plain,
    ! [X0: product_unit] :
      ~ ! [X1: bool] :
          ( ( aa_bool_Product_unit(product_Abs_unit,X1) = X0 )
         => ~ pp(aa_set_bool_bool(member_bool(X1),insert_bool(fTrue,bot_bot_set_bool))) ),
    inference(rectify,[],[f10055]) ).

tff(f10055,axiom,
    ! [X18: product_unit] :
      ~ ! [X38: bool] :
          ( ( aa_bool_Product_unit(product_Abs_unit,X38) = X18 )
         => ~ pp(aa_set_bool_bool(member_bool(X38),insert_bool(fTrue,bot_bot_set_bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10054_Abs__unit__cases) ).

tff(f79919,plain,
    spl3933_369,
    inference(avatar_split_clause,[],[f40852,f79917]) ).

tff(f79917,plain,
    ( spl3933_369
  <=> ! [X0: bool] :
        ( ~ pp(X0)
        | ~ pp(aa_bool_bool(fNot,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_369])]) ).

tff(f40852,plain,
    ! [X0: bool] :
      ( ~ pp(X0)
      | ~ pp(aa_bool_bool(fNot,X0)) ),
    inference(cnf_transformation,[],[f12470]) ).

tff(f12470,plain,
    ! [X0: bool] :
      ( ~ pp(X0)
      | ~ pp(aa_bool_bool(fNot,X0)) ),
    inference(rectify,[],[f10885]) ).

tff(f10885,axiom,
    ! [X35: bool] :
      ( ~ pp(X35)
      | ~ pp(aa_bool_bool(fNot,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_1_1_U) ).

tff(f79915,plain,
    spl3933_368,
    inference(avatar_split_clause,[],[f40851,f79913]) ).

tff(f40851,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(cnf_transformation,[],[f12469]) ).

tff(f12469,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(rectify,[],[f10947]) ).

tff(f10947,axiom,
    ! [X35: bool] :
      ( ( fFalse = X35 )
      | ( fTrue = X35 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f79911,plain,
    spl3933_367,
    inference(avatar_split_clause,[],[f40850,f79909]) ).

tff(f79909,plain,
    ( spl3933_367
  <=> ! [X0: bool] :
        ( pp(aa_bool_bool(fNot,X0))
        | pp(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_367])]) ).

tff(f40850,plain,
    ! [X0: bool] :
      ( pp(aa_bool_bool(fNot,X0))
      | pp(X0) ),
    inference(cnf_transformation,[],[f12468]) ).

tff(f12468,plain,
    ! [X0: bool] :
      ( pp(aa_bool_bool(fNot,X0))
      | pp(X0) ),
    inference(rectify,[],[f10884]) ).

tff(f10884,axiom,
    ! [X35: bool] :
      ( pp(aa_bool_bool(fNot,X35))
      | pp(X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_2_1_U) ).

tff(f79907,plain,
    spl3933_366,
    inference(avatar_split_clause,[],[f39558,f79905]) ).

tff(f79905,plain,
    ( spl3933_366
  <=> ! [X0: real] : filterlim_nat_real(aTP_Lamm_xy(X0),topolo2815343760600316023s_real(X0),at_top_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_366])]) ).

tff(f39558,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xy(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(cnf_transformation,[],[f11226]) ).

tff(f11226,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xy(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(rectify,[],[f9859]) ).

tff(f9859,axiom,
    ! [X95: real] : filterlim_nat_real(aTP_Lamm_xy(X95),topolo2815343760600316023s_real(X95),at_top_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9858_LIMSEQ__inverse__real__of__nat__add__minus__mult) ).

tff(f79903,plain,
    spl3933_365,
    inference(avatar_split_clause,[],[f39557,f79901]) ).

tff(f79901,plain,
    ( spl3933_365
  <=> ! [X0: real] : filterlim_nat_real(aTP_Lamm_xw(X0),topolo2815343760600316023s_real(X0),at_top_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_365])]) ).

tff(f39557,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xw(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(cnf_transformation,[],[f11225]) ).

tff(f11225,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xw(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(rectify,[],[f9857]) ).

tff(f9857,axiom,
    ! [X95: real] : filterlim_nat_real(aTP_Lamm_xw(X95),topolo2815343760600316023s_real(X95),at_top_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9856_LIMSEQ__inverse__real__of__nat__add__minus) ).

tff(f79899,plain,
    spl3933_364,
    inference(avatar_split_clause,[],[f39556,f79897]) ).

tff(f79897,plain,
    ( spl3933_364
  <=> ! [X0: real] : filterlim_nat_real(aTP_Lamm_xt(X0),topolo2815343760600316023s_real(X0),at_top_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_364])]) ).

tff(f39556,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xt(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(cnf_transformation,[],[f11224]) ).

tff(f11224,plain,
    ! [X0: real] : filterlim_nat_real(aTP_Lamm_xt(X0),topolo2815343760600316023s_real(X0),at_top_nat),
    inference(rectify,[],[f9850]) ).

tff(f9850,axiom,
    ! [X95: real] : filterlim_nat_real(aTP_Lamm_xt(X95),topolo2815343760600316023s_real(X95),at_top_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9849_LIMSEQ__inverse__real__of__nat__add) ).

tff(f79895,plain,
    spl3933_363,
    inference(avatar_split_clause,[],[f39552,f79893]) ).

tff(f79893,plain,
    ( spl3933_363
  <=> ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_363])]) ).

tff(f39552,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X0)),
    inference(cnf_transformation,[],[f11220]) ).

tff(f11220,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X0)),
    inference(rectify,[],[f366]) ).

tff(f366,axiom,
    ! [X12: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_365_dual__order_Orefl) ).

tff(f79891,plain,
    spl3933_362,
    inference(avatar_split_clause,[],[f39549,f79889]) ).

tff(f79889,plain,
    ( spl3933_362
  <=> ! [X0: rat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_362])]) ).

tff(f39549,plain,
    ! [X0: rat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X0)),
    inference(cnf_transformation,[],[f11217]) ).

tff(f11217,plain,
    ! [X0: rat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X0)),
    inference(rectify,[],[f374]) ).

tff(f374,axiom,
    ! [X18: rat] : pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_373_order__refl) ).

tff(f79887,plain,
    spl3933_361,
    inference(avatar_split_clause,[],[f39546,f79885]) ).

tff(f79885,plain,
    ( spl3933_361
  <=> ! [X0: int] : pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_361])]) ).

tff(f39546,plain,
    ! [X0: int] : pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X0)),
    inference(cnf_transformation,[],[f11214]) ).

tff(f11214,plain,
    ! [X0: int] : pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X0)),
    inference(rectify,[],[f377]) ).

tff(f377,axiom,
    ! [X18: int] : pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_376_order__refl) ).

tff(f79883,plain,
    spl3933_360,
    inference(avatar_split_clause,[],[f39543,f79881]) ).

tff(f79881,plain,
    ( spl3933_360
  <=> ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_360])]) ).

tff(f39543,plain,
    ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X0)),
    inference(cnf_transformation,[],[f11211]) ).

tff(f11211,plain,
    ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X0)),
    inference(rectify,[],[f375]) ).

tff(f375,axiom,
    ! [X18: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_374_order__refl) ).

tff(f79879,plain,
    spl3933_359,
    inference(avatar_split_clause,[],[f39537,f79877]) ).

tff(f79877,plain,
    ( spl3933_359
  <=> ! [X0: nat] : pp(aa_set_nat_bool(finite_finite_nat,aa_nat_set_nat(nat_set_decode,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_359])]) ).

tff(f39537,plain,
    ! [X0: nat] : pp(aa_set_nat_bool(finite_finite_nat,aa_nat_set_nat(nat_set_decode,X0))),
    inference(cnf_transformation,[],[f11205]) ).

tff(f11205,plain,
    ! [X0: nat] : pp(aa_set_nat_bool(finite_finite_nat,aa_nat_set_nat(nat_set_decode,X0))),
    inference(rectify,[],[f5096]) ).

tff(f5096,axiom,
    ! [X28: nat] : pp(aa_set_nat_bool(finite_finite_nat,aa_nat_set_nat(nat_set_decode,X28))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5095_finite__set__decode) ).

tff(f79875,plain,
    spl3933_358,
    inference(avatar_split_clause,[],[f39533,f79873]) ).

tff(f79873,plain,
    ( spl3933_358
  <=> ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,one),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_358])]) ).

tff(f39533,plain,
    ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,one),X0)),
    inference(cnf_transformation,[],[f11201]) ).

tff(f11201,plain,
    ! [X0: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,one),X0)),
    inference(rectify,[],[f1544]) ).

tff(f1544,axiom,
    ! [X28: num] : pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,one),X28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1543_semiring__norm_I68_J) ).

tff(f79871,plain,
    spl3933_357,
    inference(avatar_split_clause,[],[f39531,f79869]) ).

tff(f79869,plain,
    ( spl3933_357
  <=> ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le3146513528884898305at_nat,bot_bo2099793752762293965at_nat),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_357])]) ).

tff(f39531,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le3146513528884898305at_nat,bot_bo2099793752762293965at_nat),X0)),
    inference(cnf_transformation,[],[f11199]) ).

tff(f11199,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le3146513528884898305at_nat,bot_bo2099793752762293965at_nat),X0)),
    inference(rectify,[],[f108]) ).

tff(f108,axiom,
    ! [X39: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le3146513528884898305at_nat,bot_bo2099793752762293965at_nat),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_empty__subsetI) ).

tff(f79867,plain,
    spl3933_356,
    inference(avatar_split_clause,[],[f39527,f79865]) ).

tff(f79865,plain,
    ( spl3933_356
  <=> ! [X0: real] : ( aa_real_real(times_times_real(X0),one_one_real) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_356])]) ).

tff(f39527,plain,
    ! [X0: real] : ( aa_real_real(times_times_real(X0),one_one_real) = X0 ),
    inference(cnf_transformation,[],[f11195]) ).

tff(f11195,plain,
    ! [X0: real] : ( aa_real_real(times_times_real(X0),one_one_real) = X0 ),
    inference(rectify,[],[f2249]) ).

tff(f2249,axiom,
    ! [X12: real] : ( aa_real_real(times_times_real(X12),one_one_real) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2248_mult_Ocomm__neutral) ).

tff(f79863,plain,
    spl3933_355,
    inference(avatar_split_clause,[],[f39524,f79861]) ).

tff(f79861,plain,
    ( spl3933_355
  <=> ! [X0: real] : ( aa_real_real(plus_plus_real(X0),zero_zero_real) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_355])]) ).

tff(f39524,plain,
    ! [X0: real] : ( aa_real_real(plus_plus_real(X0),zero_zero_real) = X0 ),
    inference(cnf_transformation,[],[f11192]) ).

tff(f11192,plain,
    ! [X0: real] : ( aa_real_real(plus_plus_real(X0),zero_zero_real) = X0 ),
    inference(rectify,[],[f2731]) ).

tff(f2731,axiom,
    ! [X12: real] : ( aa_real_real(plus_plus_real(X12),zero_zero_real) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2730_add_Oright__neutral) ).

tff(f79859,plain,
    spl3933_354,
    inference(avatar_split_clause,[],[f39522,f79857]) ).

tff(f79857,plain,
    ( spl3933_354
  <=> ! [X0: real] : ( aa_real_real(minus_minus_real(X0),zero_zero_real) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_354])]) ).

tff(f39522,plain,
    ! [X0: real] : ( aa_real_real(minus_minus_real(X0),zero_zero_real) = X0 ),
    inference(cnf_transformation,[],[f11190]) ).

tff(f11190,plain,
    ! [X0: real] : ( aa_real_real(minus_minus_real(X0),zero_zero_real) = X0 ),
    inference(rectify,[],[f2770]) ).

tff(f2770,axiom,
    ! [X12: real] : ( aa_real_real(minus_minus_real(X12),zero_zero_real) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2769_diff__0__right) ).

tff(f79855,plain,
    spl3933_353,
    inference(avatar_split_clause,[],[f39520,f79853]) ).

tff(f79853,plain,
    ( spl3933_353
  <=> ! [X0: real] : ( aa_real_real(times_times_real(one_one_real),X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_353])]) ).

tff(f39520,plain,
    ! [X0: real] : ( aa_real_real(times_times_real(one_one_real),X0) = X0 ),
    inference(cnf_transformation,[],[f11188]) ).

tff(f11188,plain,
    ! [X0: real] : ( aa_real_real(times_times_real(one_one_real),X0) = X0 ),
    inference(rectify,[],[f2244]) ).

tff(f2244,axiom,
    ! [X12: real] : ( aa_real_real(times_times_real(one_one_real),X12) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2243_comm__monoid__mult__class_Omult__1) ).

tff(f79851,plain,
    spl3933_352,
    inference(avatar_split_clause,[],[f39517,f79849]) ).

tff(f79849,plain,
    ( spl3933_352
  <=> ! [X0: real] : ( aa_real_real(plus_plus_real(zero_zero_real),X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_352])]) ).

tff(f39517,plain,
    ! [X0: real] : ( aa_real_real(plus_plus_real(zero_zero_real),X0) = X0 ),
    inference(cnf_transformation,[],[f11185]) ).

tff(f11185,plain,
    ! [X0: real] : ( aa_real_real(plus_plus_real(zero_zero_real),X0) = X0 ),
    inference(rectify,[],[f2757]) ).

tff(f2757,axiom,
    ! [X12: real] : ( aa_real_real(plus_plus_real(zero_zero_real),X12) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2756_add__0) ).

tff(f79847,plain,
    spl3933_351,
    inference(avatar_split_clause,[],[f39516,f79845]) ).

tff(f79845,plain,
    ( spl3933_351
  <=> ! [X0: real] : ( aa_nat_real(power_power_real(X0),one_one_nat) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_351])]) ).

tff(f39516,plain,
    ! [X0: real] : ( aa_nat_real(power_power_real(X0),one_one_nat) = X0 ),
    inference(cnf_transformation,[],[f11184]) ).

tff(f11184,plain,
    ! [X0: real] : ( aa_nat_real(power_power_real(X0),one_one_nat) = X0 ),
    inference(rectify,[],[f1484]) ).

tff(f1484,axiom,
    ! [X12: real] : ( aa_nat_real(power_power_real(X12),one_one_nat) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1483_power__one__right) ).

tff(f79843,plain,
    spl3933_350,
    inference(avatar_split_clause,[],[f39514,f79841]) ).

tff(f79841,plain,
    ( spl3933_350
  <=> ! [X0: complex] : ( aa_complex_complex(times_times_complex(X0),one_one_complex) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_350])]) ).

tff(f39514,plain,
    ! [X0: complex] : ( aa_complex_complex(times_times_complex(X0),one_one_complex) = X0 ),
    inference(cnf_transformation,[],[f11182]) ).

tff(f11182,plain,
    ! [X0: complex] : ( aa_complex_complex(times_times_complex(X0),one_one_complex) = X0 ),
    inference(rectify,[],[f2136]) ).

tff(f2136,axiom,
    ! [X12: complex] : ( aa_complex_complex(times_times_complex(X12),one_one_complex) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2135_mult_Oright__neutral) ).

tff(f79839,plain,
    spl3933_349,
    inference(avatar_split_clause,[],[f39512,f79837]) ).

tff(f79837,plain,
    ( spl3933_349
  <=> ! [X0: complex] : ( aa_complex_complex(times_times_complex(one_one_complex),X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_349])]) ).

tff(f39512,plain,
    ! [X0: complex] : ( aa_complex_complex(times_times_complex(one_one_complex),X0) = X0 ),
    inference(cnf_transformation,[],[f11180]) ).

tff(f11180,plain,
    ! [X0: complex] : ( aa_complex_complex(times_times_complex(one_one_complex),X0) = X0 ),
    inference(rectify,[],[f2243]) ).

tff(f2243,axiom,
    ! [X12: complex] : ( aa_complex_complex(times_times_complex(one_one_complex),X12) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2242_comm__monoid__mult__class_Omult__1) ).

tff(f79835,plain,
    spl3933_348,
    inference(avatar_split_clause,[],[f39511,f79833]) ).

tff(f79833,plain,
    ( spl3933_348
  <=> ! [X0: int] : ( aa_nat_int(power_power_int(X0),one_one_nat) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_348])]) ).

tff(f39511,plain,
    ! [X0: int] : ( aa_nat_int(power_power_int(X0),one_one_nat) = X0 ),
    inference(cnf_transformation,[],[f11179]) ).

tff(f11179,plain,
    ! [X0: int] : ( aa_nat_int(power_power_int(X0),one_one_nat) = X0 ),
    inference(rectify,[],[f1485]) ).

tff(f1485,axiom,
    ! [X12: int] : ( aa_nat_int(power_power_int(X12),one_one_nat) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1484_power__one__right) ).

tff(f79831,plain,
    spl3933_347,
    inference(avatar_split_clause,[],[f39510,f79829]) ).

tff(f79829,plain,
    ( spl3933_347
  <=> ! [X0: complex] : ( aa_nat_complex(power_power_complex(X0),one_one_nat) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_347])]) ).

tff(f39510,plain,
    ! [X0: complex] : ( aa_nat_complex(power_power_complex(X0),one_one_nat) = X0 ),
    inference(cnf_transformation,[],[f11178]) ).

tff(f11178,plain,
    ! [X0: complex] : ( aa_nat_complex(power_power_complex(X0),one_one_nat) = X0 ),
    inference(rectify,[],[f1486]) ).

tff(f1486,axiom,
    ! [X12: complex] : ( aa_nat_complex(power_power_complex(X12),one_one_nat) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1485_power__one__right) ).

tff(f79827,plain,
    spl3933_346,
    inference(avatar_split_clause,[],[f39506,f79825]) ).

tff(f79825,plain,
    ( spl3933_346
  <=> ! [X0: code_integer] : ( abs_abs_Code_integer(X0) = abs_abs_Code_integer(abs_abs_Code_integer(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_346])]) ).

tff(f39506,plain,
    ! [X0: code_integer] : ( abs_abs_Code_integer(X0) = abs_abs_Code_integer(abs_abs_Code_integer(X0)) ),
    inference(cnf_transformation,[],[f11174]) ).

tff(f11174,plain,
    ! [X0: code_integer] : ( abs_abs_Code_integer(X0) = abs_abs_Code_integer(abs_abs_Code_integer(X0)) ),
    inference(rectify,[],[f6504]) ).

tff(f6504,axiom,
    ! [X12: code_integer] : ( abs_abs_Code_integer(X12) = abs_abs_Code_integer(abs_abs_Code_integer(X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6503_abs__idempotent) ).

tff(f79823,plain,
    spl3933_345,
    inference(avatar_split_clause,[],[f39495,f79821]) ).

tff(f79821,plain,
    ( spl3933_345
  <=> ! [X0: nat] : ( some_num(one) = aa_nat_option_num(aTP_Lamm_wr,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_345])]) ).

tff(f39495,plain,
    ! [X0: nat] : ( some_num(one) = aa_nat_option_num(aTP_Lamm_wr,X0) ),
    inference(cnf_transformation,[],[f11163]) ).

tff(f11163,plain,
    ! [X0: nat] : ( some_num(one) = aa_nat_option_num(aTP_Lamm_wr,X0) ),
    inference(rectify,[],[f10231]) ).

tff(f10231,axiom,
    ! [X93: nat] : ( some_num(one) = aa_nat_option_num(aTP_Lamm_wr,X93) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10230_ATP_Olambda__25) ).

tff(f79819,plain,
    spl3933_344,
    inference(avatar_split_clause,[],[f39494,f79817]) ).

tff(f79817,plain,
    ( spl3933_344
  <=> ! [X0: fun_nat_nat] : ( zero_zero_nat = aa_set_nat_nat(groups3542108847815614940at_nat(X0),bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_344])]) ).

tff(f39494,plain,
    ! [X0: fun_nat_nat] : ( zero_zero_nat = aa_set_nat_nat(groups3542108847815614940at_nat(X0),bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11162]) ).

tff(f11162,plain,
    ! [X0: fun_nat_nat] : ( zero_zero_nat = aa_set_nat_nat(groups3542108847815614940at_nat(X0),bot_bot_set_nat) ),
    inference(rectify,[],[f7688]) ).

tff(f7688,axiom,
    ! [X212: fun_nat_nat] : ( zero_zero_nat = aa_set_nat_nat(groups3542108847815614940at_nat(X212),bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7687_sum_Oempty) ).

tff(f79815,plain,
    spl3933_343,
    inference(avatar_split_clause,[],[f39492,f79813]) ).

tff(f79813,plain,
    ( spl3933_343
  <=> ! [X0: real] : ( zero_zero_real = aa_real_real(minus_minus_real(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_343])]) ).

tff(f39492,plain,
    ! [X0: real] : ( zero_zero_real = aa_real_real(minus_minus_real(X0),X0) ),
    inference(cnf_transformation,[],[f11160]) ).

tff(f11160,plain,
    ! [X0: real] : ( zero_zero_real = aa_real_real(minus_minus_real(X0),X0) ),
    inference(rectify,[],[f2761]) ).

tff(f2761,axiom,
    ! [X12: real] : ( zero_zero_real = aa_real_real(minus_minus_real(X12),X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2760_cancel__comm__monoid__add__class_Odiff__cancel) ).

tff(f79811,plain,
    spl3933_342,
    inference(avatar_split_clause,[],[f39490,f79809]) ).

tff(f79809,plain,
    ( spl3933_342
  <=> ! [X0: real] : ( one_one_real = aa_nat_real(power_power_real(X0),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_342])]) ).

tff(f79807,plain,
    spl3933_341,
    inference(avatar_split_clause,[],[f39489,f79805]) ).

tff(f79805,plain,
    ( spl3933_341
  <=> ! [X0: nat] : ( one_one_real = aa_nat_real(power_power_real(one_one_real),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_341])]) ).

tff(f79803,plain,
    spl3933_340,
    inference(avatar_split_clause,[],[f39488,f79801]) ).

tff(f79801,plain,
    ( spl3933_340
  <=> ! [X0: int] : ( one_one_int = aa_nat_int(power_power_int(X0),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_340])]) ).

tff(f79799,plain,
    spl3933_339,
    inference(avatar_split_clause,[],[f39487,f79797]) ).

tff(f79797,plain,
    ( spl3933_339
  <=> ! [X0: nat] : ( one_one_int = aa_nat_int(power_power_int(one_one_int),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_339])]) ).

tff(f79795,plain,
    spl3933_338,
    inference(avatar_split_clause,[],[f39486,f79793]) ).

tff(f79793,plain,
    ( spl3933_338
  <=> ! [X0: rat] : ( one_one_rat = aa_nat_rat(power_power_rat(X0),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_338])]) ).

tff(f79791,plain,
    spl3933_337,
    inference(avatar_split_clause,[],[f39485,f79789]) ).

tff(f79789,plain,
    ( spl3933_337
  <=> ! [X0: nat] : ( one_one_rat = aa_nat_rat(power_power_rat(one_one_rat),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_337])]) ).

tff(f79787,plain,
    spl3933_336,
    inference(avatar_split_clause,[],[f39480,f79785]) ).

tff(f79785,plain,
    ( spl3933_336
  <=> ! [X0: nat] : ( bot_bot_set_nat = aa_nat_set_nat(set_or4665077453230672383an_nat(X0),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_336])]) ).

tff(f39480,plain,
    ! [X0: nat] : ( bot_bot_set_nat = aa_nat_set_nat(set_or4665077453230672383an_nat(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11148]) ).

tff(f11148,plain,
    ! [X0: nat] : ( bot_bot_set_nat = aa_nat_set_nat(set_or4665077453230672383an_nat(X0),zero_zero_nat) ),
    inference(rectify,[],[f9572]) ).

tff(f9572,axiom,
    ! [X65: nat] : ( bot_bot_set_nat = aa_nat_set_nat(set_or4665077453230672383an_nat(X65),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9571_atLeastLessThan0) ).

tff(f79783,plain,
    spl3933_335,
    inference(avatar_split_clause,[],[f39475,f79781]) ).

tff(f79781,plain,
    ( spl3933_335
  <=> ! [X0: complex] : ( one_one_complex = aa_nat_complex(power_power_complex(X0),zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_335])]) ).

tff(f39475,plain,
    ! [X0: complex] : ( one_one_complex = aa_nat_complex(power_power_complex(X0),zero_zero_nat) ),
    inference(cnf_transformation,[],[f11143]) ).

tff(f11143,plain,
    ! [X0: complex] : ( one_one_complex = aa_nat_complex(power_power_complex(X0),zero_zero_nat) ),
    inference(rectify,[],[f3320]) ).

tff(f3320,axiom,
    ! [X12: complex] : ( one_one_complex = aa_nat_complex(power_power_complex(X12),zero_zero_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3319_power__0) ).

tff(f79779,plain,
    spl3933_334,
    inference(avatar_split_clause,[],[f39474,f79777]) ).

tff(f79777,plain,
    ( spl3933_334
  <=> ! [X0: nat] : ( one_one_complex = aa_nat_complex(power_power_complex(one_one_complex),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_334])]) ).

tff(f79775,plain,
    spl3933_333,
    inference(avatar_split_clause,[],[f39470,f79773]) ).

tff(f79773,plain,
    ( spl3933_333
  <=> ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_333])]) ).

tff(f39470,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X0)),
    inference(cnf_transformation,[],[f11138]) ).

tff(f11138,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),X0)),
    inference(rectify,[],[f1016]) ).

tff(f1016,axiom,
    ! [X18: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1015_order__less__irrefl) ).

tff(f79771,plain,
    spl3933_332,
    inference(avatar_split_clause,[],[f39468,f79769]) ).

tff(f79769,plain,
    ( spl3933_332
  <=> ! [X0: real] : ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_332])]) ).

tff(f39468,plain,
    ! [X0: real] : ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X0)),
    inference(cnf_transformation,[],[f11136]) ).

tff(f11136,plain,
    ! [X0: real] : ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),X0)),
    inference(rectify,[],[f1013]) ).

tff(f1013,axiom,
    ! [X18: real] : ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1012_order__less__irrefl) ).

tff(f79767,plain,
    spl3933_331,
    inference(avatar_split_clause,[],[f39466,f79765]) ).

tff(f79765,plain,
    ( spl3933_331
  <=> ! [X0: rat] : ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_331])]) ).

tff(f39466,plain,
    ! [X0: rat] : ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X0),X0)),
    inference(cnf_transformation,[],[f11134]) ).

tff(f11134,plain,
    ! [X0: rat] : ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X0),X0)),
    inference(rectify,[],[f1014]) ).

tff(f1014,axiom,
    ! [X18: rat] : ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X18),X18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1013_order__less__irrefl) ).

tff(f79763,plain,
    spl3933_330,
    inference(avatar_split_clause,[],[f39464,f79761]) ).

tff(f79761,plain,
    ( spl3933_330
  <=> ! [X0: int] : ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_330])]) ).

tff(f39464,plain,
    ! [X0: int] : ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),X0)),
    inference(cnf_transformation,[],[f11132]) ).

tff(f11132,plain,
    ! [X0: int] : ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),X0)),
    inference(rectify,[],[f936]) ).

tff(f936,axiom,
    ! [X12: int] : ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_935_dual__order_Oirrefl) ).

tff(f79759,plain,
    spl3933_329,
    inference(avatar_split_clause,[],[f39462,f79757]) ).

tff(f79757,plain,
    ( spl3933_329
  <=> ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_329])]) ).

tff(f39462,plain,
    ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),X0)),
    inference(cnf_transformation,[],[f11130]) ).

tff(f11130,plain,
    ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),X0)),
    inference(rectify,[],[f934]) ).

tff(f934,axiom,
    ! [X12: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_933_dual__order_Oirrefl) ).

tff(f79755,plain,
    spl3933_328,
    inference(avatar_split_clause,[],[f39455,f79753]) ).

tff(f79753,plain,
    ( spl3933_328
  <=> ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),one)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_328])]) ).

tff(f39455,plain,
    ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),one)),
    inference(cnf_transformation,[],[f11123]) ).

tff(f11123,plain,
    ! [X0: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X0),one)),
    inference(rectify,[],[f1543]) ).

tff(f1543,axiom,
    ! [X65: num] : ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_num,X65),one)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1542_semiring__norm_I75_J) ).

tff(f79751,plain,
    spl3933_327,
    inference(avatar_split_clause,[],[f39453,f79749]) ).

tff(f79749,plain,
    ( spl3933_327
  <=> ! [X0: set_Pr1261947904930325089at_nat] : ~ pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le7866589430770878221at_nat,X0),bot_bo2099793752762293965at_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_327])]) ).

tff(f39453,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : ~ pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le7866589430770878221at_nat,X0),bot_bo2099793752762293965at_nat)),
    inference(cnf_transformation,[],[f11121]) ).

tff(f11121,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : ~ pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le7866589430770878221at_nat,X0),bot_bo2099793752762293965at_nat)),
    inference(rectify,[],[f1492]) ).

tff(f1492,axiom,
    ! [X39: set_Pr1261947904930325089at_nat] : ~ pp(aa_set3135850010578026034t_bool(aa_set7594618562247239262t_bool(ord_le7866589430770878221at_nat,X39),bot_bo2099793752762293965at_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1491_not__psubset__empty) ).

tff(f79747,plain,
    spl3933_326,
    inference(avatar_split_clause,[],[f39452,f79745]) ).

tff(f79745,plain,
    ( spl3933_326
  <=> ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fTrue,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_326])]) ).

tff(f39452,plain,
    ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fTrue,X0))),
    inference(cnf_transformation,[],[f11120]) ).

tff(f11120,plain,
    ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fTrue,X0))),
    inference(rectify,[],[f3782]) ).

tff(f3782,axiom,
    ! [X94: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fTrue,X94))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3781_VEBT__internal_OminNull_Osimps_I2_J) ).

tff(f79743,plain,
    spl3933_325,
    inference(avatar_split_clause,[],[f39451,f79741]) ).

tff(f79741,plain,
    ( spl3933_325
  <=> ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(X0,fTrue))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_325])]) ).

tff(f39451,plain,
    ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(X0,fTrue))),
    inference(cnf_transformation,[],[f11119]) ).

tff(f11119,plain,
    ! [X0: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(X0,fTrue))),
    inference(rectify,[],[f3783]) ).

tff(f3783,axiom,
    ! [X93: bool] : ~ pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(X93,fTrue))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3782_VEBT__internal_OminNull_Osimps_I3_J) ).

tff(f79739,plain,
    spl3933_324,
    inference(avatar_split_clause,[],[f39026,f79736]) ).

tff(f79736,plain,
    ( spl3933_324
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,mi),ma)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_324])]) ).

tff(f39026,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,mi),ma)),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,mi),ma)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_case4_I9_J) ).

tff(f79734,plain,
    ( spl3933_323
    | ~ spl3933_285
    | ~ spl3933_315 ),
    inference(avatar_split_clause,[],[f79694,f79690,f79537,f79731]) ).

tff(f79731,plain,
    ( spl3933_323
  <=> pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_buildup(one_one_nat))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_323])]) ).

tff(f79537,plain,
    ( spl3933_285
  <=> pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_buildup(zero_zero_nat))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_285])]) ).

tff(f79690,plain,
    ( spl3933_315
  <=> ( vEBT_vebt_buildup(zero_zero_nat) = vEBT_vebt_buildup(one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_315])]) ).

tff(f79694,plain,
    ( pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_buildup(one_one_nat)))
    | ~ spl3933_285
    | ~ spl3933_315 ),
    inference(superposition,[],[f79539,f79692]) ).

tff(f79692,plain,
    ( ( vEBT_vebt_buildup(zero_zero_nat) = vEBT_vebt_buildup(one_one_nat) )
    | ~ spl3933_315 ),
    inference(avatar_component_clause,[],[f79690]) ).

tff(f79539,plain,
    ( pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_buildup(zero_zero_nat)))
    | ~ spl3933_285 ),
    inference(avatar_component_clause,[],[f79537]) ).

tff(f79729,plain,
    spl3933_322,
    inference(avatar_split_clause,[],[f39025,f79726]) ).

tff(f79726,plain,
    ( spl3933_322
  <=> pp(aa_nat_bool(ordering_top_nat(aTP_Lamm_eq,aTP_Lamm_mb),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_322])]) ).

tff(f39025,plain,
    pp(aa_nat_bool(ordering_top_nat(aTP_Lamm_eq,aTP_Lamm_mb),zero_zero_nat)),
    inference(cnf_transformation,[],[f10109]) ).

tff(f10109,axiom,
    pp(aa_nat_bool(ordering_top_nat(aTP_Lamm_eq,aTP_Lamm_mb),zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10108_bot__nat__0_Oordering__top__axioms) ).

tff(f79724,plain,
    spl3933_321,
    inference(avatar_split_clause,[],[f39022,f79721]) ).

tff(f79721,plain,
    ( spl3933_321
  <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),one_one_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_321])]) ).

tff(f39022,plain,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),one_one_real)),
    inference(cnf_transformation,[],[f3268]) ).

tff(f3268,axiom,
    pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,zero_zero_real),one_one_real)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3267_linordered__nonzero__semiring__class_Ozero__le__one) ).

tff(f79719,plain,
    spl3933_320,
    inference(avatar_split_clause,[],[f39018,f79716]) ).

tff(f79716,plain,
    ( spl3933_320
  <=> pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,zero_zero_rat),one_one_rat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_320])]) ).

tff(f39018,plain,
    pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,zero_zero_rat),one_one_rat)),
    inference(cnf_transformation,[],[f3269]) ).

tff(f3269,axiom,
    pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,zero_zero_rat),one_one_rat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3268_linordered__nonzero__semiring__class_Ozero__le__one) ).

tff(f79714,plain,
    spl3933_319,
    inference(avatar_split_clause,[],[f39014,f79711]) ).

tff(f79711,plain,
    ( spl3933_319
  <=> pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_319])]) ).

tff(f39014,plain,
    pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,zero_zero_int),one_one_int)),
    inference(cnf_transformation,[],[f3271]) ).

tff(f3271,axiom,
    pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,zero_zero_int),one_one_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3270_linordered__nonzero__semiring__class_Ozero__le__one) ).

tff(f79709,plain,
    spl3933_318,
    inference(avatar_split_clause,[],[f39012,f79706]) ).

tff(f79706,plain,
    ( spl3933_318
  <=> pp(aa_set_nat_bool(bij_be5333170631980326235at_nat(nat_prod_encode,top_to4669805908274784177at_nat),top_top_set_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_318])]) ).

tff(f39012,plain,
    pp(aa_set_nat_bool(bij_be5333170631980326235at_nat(nat_prod_encode,top_to4669805908274784177at_nat),top_top_set_nat)),
    inference(cnf_transformation,[],[f10007]) ).

tff(f10007,axiom,
    pp(aa_set_nat_bool(bij_be5333170631980326235at_nat(nat_prod_encode,top_to4669805908274784177at_nat),top_top_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10006_bij__prod__encode) ).

tff(f79704,plain,
    spl3933_317,
    inference(avatar_split_clause,[],[f39011,f79701]) ).

tff(f79701,plain,
    ( spl3933_317
  <=> pp(aa_set_nat_bool(bij_be8532844293280997160at_nat(nat_list_encode,top_top_set_list_nat),top_top_set_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_317])]) ).

tff(f39011,plain,
    pp(aa_set_nat_bool(bij_be8532844293280997160at_nat(nat_list_encode,top_top_set_list_nat),top_top_set_nat)),
    inference(cnf_transformation,[],[f10015]) ).

tff(f10015,axiom,
    pp(aa_set_nat_bool(bij_be8532844293280997160at_nat(nat_list_encode,top_top_set_list_nat),top_top_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10014_bij__list__encode) ).

tff(f79699,plain,
    spl3933_316,
    inference(avatar_split_clause,[],[f39010,f79696]) ).

tff(f79696,plain,
    ( spl3933_316
  <=> pp(aa_set3135850010578026034t_bool(bij_be8693218025023041337at_nat(nat_prod_decode,top_top_set_nat),top_to4669805908274784177at_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_316])]) ).

tff(f39010,plain,
    pp(aa_set3135850010578026034t_bool(bij_be8693218025023041337at_nat(nat_prod_decode,top_top_set_nat),top_to4669805908274784177at_nat)),
    inference(cnf_transformation,[],[f10143]) ).

tff(f10143,axiom,
    pp(aa_set3135850010578026034t_bool(bij_be8693218025023041337at_nat(nat_prod_decode,top_top_set_nat),top_to4669805908274784177at_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10142_bij__prod__decode) ).

tff(f79693,plain,
    ( spl3933_315
    | ~ spl3933_314 ),
    inference(avatar_split_clause,[],[f79688,f79684,f79690]) ).

tff(f79684,plain,
    ( spl3933_314
  <=> ( vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_314])]) ).

tff(f79688,plain,
    ( ( vEBT_vebt_buildup(zero_zero_nat) = vEBT_vebt_buildup(one_one_nat) )
    | ~ spl3933_314 ),
    inference(forward_demodulation,[],[f79686,f64467]) ).

tff(f79686,plain,
    ( ( vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero_nat) )
    | ~ spl3933_314 ),
    inference(avatar_component_clause,[],[f79684]) ).

tff(f79687,plain,
    spl3933_314,
    inference(avatar_split_clause,[],[f39005,f79684]) ).

tff(f39005,plain,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero_nat),
    inference(cnf_transformation,[],[f3786]) ).

tff(f3786,axiom,
    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3785_vebt__buildup_Osimps_I1_J) ).

tff(f79682,plain,
    spl3933_313,
    inference(avatar_split_clause,[],[f39004,f79679]) ).

tff(f79679,plain,
    ( spl3933_313
  <=> ( some_num(one) = bit_un7362597486090784418nd_num(one,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_313])]) ).

tff(f39004,plain,
    some_num(one) = bit_un7362597486090784418nd_num(one,one),
    inference(cnf_transformation,[],[f9780]) ).

tff(f9780,axiom,
    some_num(one) = bit_un7362597486090784418nd_num(one,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9779_and__num_Osimps_I1_J) ).

tff(f79677,plain,
    spl3933_312,
    inference(avatar_split_clause,[],[f39003,f79674]) ).

tff(f79674,plain,
    ( spl3933_312
  <=> ( bot_bot_set_nat = comple7806235888213564991et_nat(image_nat_set_nat(set_or1210151606488870762an_nat,top_top_set_nat)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_312])]) ).

tff(f39003,plain,
    bot_bot_set_nat = comple7806235888213564991et_nat(image_nat_set_nat(set_or1210151606488870762an_nat,top_top_set_nat)),
    inference(cnf_transformation,[],[f9878]) ).

tff(f9878,axiom,
    bot_bot_set_nat = comple7806235888213564991et_nat(image_nat_set_nat(set_or1210151606488870762an_nat,top_top_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9877_INT__greaterThan__UNIV) ).

tff(f79672,plain,
    spl3933_311,
    inference(avatar_split_clause,[],[f39002,f79669]) ).

tff(f79669,plain,
    ( spl3933_311
  <=> ( positive = map_fu1722713901878115497l_bool(rep_real,id_bool,aTP_Lamm_zz) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_311])]) ).

tff(f39002,plain,
    positive = map_fu1722713901878115497l_bool(rep_real,id_bool,aTP_Lamm_zz),
    inference(cnf_transformation,[],[f10204]) ).

tff(f10204,axiom,
    positive = map_fu1722713901878115497l_bool(rep_real,id_bool,aTP_Lamm_zz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10203_Real_Opositive__def) ).

tff(f79667,plain,
    ~ spl3933_310,
    inference(avatar_split_clause,[],[f39001,f79664]) ).

tff(f79664,plain,
    ( spl3933_310
  <=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_310])]) ).

tff(f39001,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),zero_zero_nat)),
    inference(cnf_transformation,[],[f3274]) ).

tff(f3274,axiom,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,one_one_nat),zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3273_not__one__le__zero) ).

tff(f79662,plain,
    ~ spl3933_309,
    inference(avatar_split_clause,[],[f39000,f79659]) ).

tff(f79659,plain,
    ( spl3933_309
  <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,one_one_real),zero_zero_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_309])]) ).

tff(f39000,plain,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,one_one_real),zero_zero_real)),
    inference(cnf_transformation,[],[f3272]) ).

tff(f3272,axiom,
    ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,one_one_real),zero_zero_real)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3271_not__one__le__zero) ).

tff(f79657,plain,
    ~ spl3933_308,
    inference(avatar_split_clause,[],[f38999,f79654]) ).

tff(f79654,plain,
    ( spl3933_308
  <=> pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,one_one_rat),zero_zero_rat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_308])]) ).

tff(f38999,plain,
    ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,one_one_rat),zero_zero_rat)),
    inference(cnf_transformation,[],[f3273]) ).

tff(f3273,axiom,
    ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,one_one_rat),zero_zero_rat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3272_not__one__le__zero) ).

tff(f79652,plain,
    ~ spl3933_307,
    inference(avatar_split_clause,[],[f38998,f79649]) ).

tff(f79649,plain,
    ( spl3933_307
  <=> pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,one_one_int),zero_zero_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_307])]) ).

tff(f38998,plain,
    ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,one_one_int),zero_zero_int)),
    inference(cnf_transformation,[],[f3275]) ).

tff(f3275,axiom,
    ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,one_one_int),zero_zero_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3274_not__one__le__zero) ).

tff(f79647,plain,
    ( ~ spl3933_306
    | ~ spl3933_232
    | ~ spl3933_234 ),
    inference(avatar_split_clause,[],[f79642,f79326,f79316,f79644]) ).

tff(f79644,plain,
    ( spl3933_306
  <=> ( one_one_int = zero_zero_int ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_306])]) ).

tff(f79316,plain,
    ( spl3933_232
  <=> ( one_one_int = aa_num_int(code_Target_positive,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_232])]) ).

tff(f79326,plain,
    ( spl3933_234
  <=> ! [X0: num] : ( zero_zero_int != aa_num_int(code_Target_positive,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_234])]) ).

tff(f79642,plain,
    ( ( one_one_int != zero_zero_int )
    | ~ spl3933_232
    | ~ spl3933_234 ),
    inference(superposition,[],[f79327,f79318]) ).

tff(f79318,plain,
    ( ( one_one_int = aa_num_int(code_Target_positive,one) )
    | ~ spl3933_232 ),
    inference(avatar_component_clause,[],[f79316]) ).

tff(f79327,plain,
    ( ! [X0: num] : ( zero_zero_int != aa_num_int(code_Target_positive,X0) )
    | ~ spl3933_234 ),
    inference(avatar_component_clause,[],[f79326]) ).

tff(f79640,plain,
    ( ~ spl3933_305
    | ~ spl3933_98
    | ~ spl3933_145 ),
    inference(avatar_split_clause,[],[f79619,f78966,f78738,f79637]) ).

tff(f79637,plain,
    ( spl3933_305
  <=> ( m = zero_zero_nat ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_305])]) ).

tff(f78738,plain,
    ( spl3933_98
  <=> ( m = aa_nat_nat(suc,na) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_98])]) ).

tff(f79619,plain,
    ( ( m != zero_zero_nat )
    | ~ spl3933_98
    | ~ spl3933_145 ),
    inference(superposition,[],[f78967,f78740]) ).

tff(f78740,plain,
    ( ( m = aa_nat_nat(suc,na) )
    | ~ spl3933_98 ),
    inference(avatar_component_clause,[],[f78738]) ).

tff(f79635,plain,
    ( ~ spl3933_304
    | ~ spl3933_98
    | ~ spl3933_144 ),
    inference(avatar_split_clause,[],[f79617,f78962,f78738,f79632]) ).

tff(f79632,plain,
    ( spl3933_304
  <=> ( m = na ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_304])]) ).

tff(f79617,plain,
    ( ( m != na )
    | ~ spl3933_98
    | ~ spl3933_144 ),
    inference(superposition,[],[f78963,f78740]) ).

tff(f79630,plain,
    ( ~ spl3933_303
    | ~ spl3933_109
    | ~ spl3933_143 ),
    inference(avatar_split_clause,[],[f79616,f78958,f78793,f79627]) ).

tff(f79627,plain,
    ( spl3933_303
  <=> ( one_one_nat = zero_zero_nat ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_303])]) ).

tff(f78958,plain,
    ( spl3933_143
  <=> ! [X0: num] : ( zero_zero_nat != aa_num_nat(numeral_numeral_nat,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_143])]) ).

tff(f79616,plain,
    ( ( one_one_nat != zero_zero_nat )
    | ~ spl3933_109
    | ~ spl3933_143 ),
    inference(superposition,[],[f78959,f78795]) ).

tff(f78959,plain,
    ( ! [X0: num] : ( zero_zero_nat != aa_num_nat(numeral_numeral_nat,X0) )
    | ~ spl3933_143 ),
    inference(avatar_component_clause,[],[f78958]) ).

tff(f79625,plain,
    ( ~ spl3933_302
    | ~ spl3933_112
    | ~ spl3933_142 ),
    inference(avatar_split_clause,[],[f79610,f78954,f78808,f79622]) ).

tff(f79622,plain,
    ( spl3933_302
  <=> ( one_one_real = zero_zero_real ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_302])]) ).

tff(f78808,plain,
    ( spl3933_112
  <=> ( one_one_real = aa_num_real(numeral_numeral_real,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_112])]) ).

tff(f78954,plain,
    ( spl3933_142
  <=> ! [X0: num] : ( zero_zero_real != aa_num_real(numeral_numeral_real,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_142])]) ).

tff(f79610,plain,
    ( ( one_one_real != zero_zero_real )
    | ~ spl3933_112
    | ~ spl3933_142 ),
    inference(superposition,[],[f78955,f78810]) ).

tff(f78810,plain,
    ( ( one_one_real = aa_num_real(numeral_numeral_real,one) )
    | ~ spl3933_112 ),
    inference(avatar_component_clause,[],[f78808]) ).

tff(f78955,plain,
    ( ! [X0: num] : ( zero_zero_real != aa_num_real(numeral_numeral_real,X0) )
    | ~ spl3933_142 ),
    inference(avatar_component_clause,[],[f78954]) ).

tff(f79615,plain,
    ( ~ spl3933_301
    | ~ spl3933_107
    | ~ spl3933_141 ),
    inference(avatar_split_clause,[],[f79609,f78950,f78783,f79612]) ).

tff(f79612,plain,
    ( spl3933_301
  <=> ( one_one_rat = zero_zero_rat ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_301])]) ).

tff(f78783,plain,
    ( spl3933_107
  <=> ( one_one_rat = aa_num_rat(numeral_numeral_rat,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_107])]) ).

tff(f78950,plain,
    ( spl3933_141
  <=> ! [X0: num] : ( zero_zero_rat != aa_num_rat(numeral_numeral_rat,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_141])]) ).

tff(f79609,plain,
    ( ( one_one_rat != zero_zero_rat )
    | ~ spl3933_107
    | ~ spl3933_141 ),
    inference(superposition,[],[f78951,f78785]) ).

tff(f78785,plain,
    ( ( one_one_rat = aa_num_rat(numeral_numeral_rat,one) )
    | ~ spl3933_107 ),
    inference(avatar_component_clause,[],[f78783]) ).

tff(f78951,plain,
    ( ! [X0: num] : ( zero_zero_rat != aa_num_rat(numeral_numeral_rat,X0) )
    | ~ spl3933_141 ),
    inference(avatar_component_clause,[],[f78950]) ).

tff(f79608,plain,
    spl3933_300,
    inference(avatar_split_clause,[],[f71965,f79606]) ).

tff(f71965,plain,
    ! [X2: bool,X3: bool] : sP147(vEBT_Leaf(X2,X3),one_one_nat),
    inference(forward_demodulation,[],[f62973,f38966]) ).

tff(f62973,plain,
    ! [X2: bool,X3: bool] : sP147(vEBT_Leaf(X2,X3),aa_nat_nat(suc,zero_zero_nat)),
    inference(equality_resolution,[],[f62972]) ).

tff(f62972,plain,
    ! [X2: bool,X3: bool,X0: vEBT_VEBT] :
      ( sP147(X0,aa_nat_nat(suc,zero_zero_nat))
      | ( vEBT_Leaf(X2,X3) != X0 ) ),
    inference(equality_resolution,[],[f47343]) ).

tff(f47343,plain,
    ! [X2: bool,X3: bool,X0: vEBT_VEBT,X1: nat] :
      ( sP147(X0,X1)
      | ( aa_nat_nat(suc,zero_zero_nat) != X1 )
      | ( vEBT_Leaf(X2,X3) != X0 ) ),
    inference(cnf_transformation,[],[f32657]) ).

tff(f79604,plain,
    spl3933_299,
    inference(avatar_split_clause,[],[f64850,f79602]) ).

tff(f79602,plain,
    ( spl3933_299
  <=> ! [X0: fun_nat_nat] : ( one_one_nat = size_option_nat(X0,none_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_299])]) ).

tff(f64850,plain,
    ! [X0: fun_nat_nat] : ( one_one_nat = size_option_nat(X0,none_nat) ),
    inference(forward_demodulation,[],[f39636,f38966]) ).

tff(f39636,plain,
    ! [X0: fun_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_nat(X0,none_nat) ),
    inference(cnf_transformation,[],[f11304]) ).

tff(f11304,plain,
    ! [X0: fun_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_nat(X0,none_nat) ),
    inference(rectify,[],[f5238]) ).

tff(f5238,axiom,
    ! [X18: fun_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_nat(X18,none_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5237_option_Osize__gen_I1_J) ).

tff(f79600,plain,
    spl3933_298,
    inference(avatar_split_clause,[],[f64849,f79598]) ).

tff(f79598,plain,
    ( spl3933_298
  <=> ! [X0: fun_Pr2602117396471556196at_nat] : ( one_one_nat = size_o8335143837870341156at_nat(X0,none_P5556105721700978146at_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_298])]) ).

tff(f64849,plain,
    ! [X0: fun_Pr2602117396471556196at_nat] : ( one_one_nat = size_o8335143837870341156at_nat(X0,none_P5556105721700978146at_nat) ),
    inference(forward_demodulation,[],[f39635,f38966]) ).

tff(f39635,plain,
    ! [X0: fun_Pr2602117396471556196at_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_o8335143837870341156at_nat(X0,none_P5556105721700978146at_nat) ),
    inference(cnf_transformation,[],[f11303]) ).

tff(f11303,plain,
    ! [X0: fun_Pr2602117396471556196at_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_o8335143837870341156at_nat(X0,none_P5556105721700978146at_nat) ),
    inference(rectify,[],[f5239]) ).

tff(f5239,axiom,
    ! [X18: fun_Pr2602117396471556196at_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_o8335143837870341156at_nat(X18,none_P5556105721700978146at_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5238_option_Osize__gen_I1_J) ).

tff(f79596,plain,
    spl3933_297,
    inference(avatar_split_clause,[],[f64848,f79594]) ).

tff(f79594,plain,
    ( spl3933_297
  <=> ! [X0: fun_num_nat] : ( one_one_nat = size_option_num(X0,none_num) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_297])]) ).

tff(f64848,plain,
    ! [X0: fun_num_nat] : ( one_one_nat = size_option_num(X0,none_num) ),
    inference(forward_demodulation,[],[f39634,f38966]) ).

tff(f39634,plain,
    ! [X0: fun_num_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_num(X0,none_num) ),
    inference(cnf_transformation,[],[f11302]) ).

tff(f11302,plain,
    ! [X0: fun_num_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_num(X0,none_num) ),
    inference(rectify,[],[f5240]) ).

tff(f5240,axiom,
    ! [X18: fun_num_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_option_num(X18,none_num) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5239_option_Osize__gen_I1_J) ).

tff(f79592,plain,
    spl3933_296,
    inference(avatar_split_clause,[],[f64847,f79590]) ).

tff(f79590,plain,
    ( spl3933_296
  <=> ! [X0: product_prod_nat_nat] : ( one_one_nat = size_s170228958280169651at_nat(some_P7363390416028606310at_nat(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_296])]) ).

tff(f64847,plain,
    ! [X0: product_prod_nat_nat] : ( one_one_nat = size_s170228958280169651at_nat(some_P7363390416028606310at_nat(X0)) ),
    inference(forward_demodulation,[],[f39633,f38966]) ).

tff(f39633,plain,
    ! [X0: product_prod_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_s170228958280169651at_nat(some_P7363390416028606310at_nat(X0)) ),
    inference(cnf_transformation,[],[f11301]) ).

tff(f11301,plain,
    ! [X0: product_prod_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_s170228958280169651at_nat(some_P7363390416028606310at_nat(X0)) ),
    inference(rectify,[],[f3328]) ).

tff(f3328,axiom,
    ! [X8: product_prod_nat_nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_s170228958280169651at_nat(some_P7363390416028606310at_nat(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3327_option_Osize_I4_J) ).

tff(f79588,plain,
    spl3933_295,
    inference(avatar_split_clause,[],[f64846,f79586]) ).

tff(f79586,plain,
    ( spl3933_295
  <=> ! [X0: nat] : ( one_one_nat = size_size_option_nat(some_nat(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_295])]) ).

tff(f64846,plain,
    ! [X0: nat] : ( one_one_nat = size_size_option_nat(some_nat(X0)) ),
    inference(forward_demodulation,[],[f39632,f38966]) ).

tff(f39632,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_nat(some_nat(X0)) ),
    inference(cnf_transformation,[],[f11300]) ).

tff(f11300,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_nat(some_nat(X0)) ),
    inference(rectify,[],[f3329]) ).

tff(f3329,axiom,
    ! [X8: nat] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_nat(some_nat(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3328_option_Osize_I4_J) ).

tff(f79584,plain,
    spl3933_294,
    inference(avatar_split_clause,[],[f64845,f79582]) ).

tff(f79582,plain,
    ( spl3933_294
  <=> ! [X0: num] : ( one_one_nat = size_size_option_num(some_num(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_294])]) ).

tff(f64845,plain,
    ! [X0: num] : ( one_one_nat = size_size_option_num(some_num(X0)) ),
    inference(forward_demodulation,[],[f39631,f38966]) ).

tff(f39631,plain,
    ! [X0: num] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(some_num(X0)) ),
    inference(cnf_transformation,[],[f11299]) ).

tff(f11299,plain,
    ! [X0: num] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(some_num(X0)) ),
    inference(rectify,[],[f3330]) ).

tff(f3330,axiom,
    ! [X8: num] : ( aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(some_num(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3329_option_Osize_I4_J) ).

tff(f79580,plain,
    spl3933_293,
    inference(avatar_split_clause,[],[f64466,f79577]) ).

tff(f79577,plain,
    ( spl3933_293
  <=> ( one_one_nat = aa_int_nat(nat2,one_one_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_293])]) ).

tff(f64466,plain,
    one_one_nat = aa_int_nat(nat2,one_one_int),
    inference(forward_demodulation,[],[f39052,f38966]) ).

tff(f39052,plain,
    aa_nat_nat(suc,zero_zero_nat) = aa_int_nat(nat2,one_one_int),
    inference(cnf_transformation,[],[f9460]) ).

tff(f9460,axiom,
    aa_nat_nat(suc,zero_zero_nat) = aa_int_nat(nat2,one_one_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9459_nat__1) ).

tff(f79575,plain,
    spl3933_292,
    inference(avatar_split_clause,[],[f64464,f79572]) ).

tff(f79572,plain,
    ( spl3933_292
  <=> ( one_one_real = aa_nat_real(semiri2265585572941072030t_real,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_292])]) ).

tff(f64464,plain,
    one_one_real = aa_nat_real(semiri2265585572941072030t_real,one_one_nat),
    inference(forward_demodulation,[],[f39045,f38966]) ).

tff(f39045,plain,
    one_one_real = aa_nat_real(semiri2265585572941072030t_real,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f8565]) ).

tff(f8565,axiom,
    one_one_real = aa_nat_real(semiri2265585572941072030t_real,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8564_fact__Suc__0) ).

tff(f79570,plain,
    spl3933_291,
    inference(avatar_split_clause,[],[f64463,f79567]) ).

tff(f79567,plain,
    ( spl3933_291
  <=> ( one_one_int = aa_nat_int(semiri1406184849735516958ct_int,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_291])]) ).

tff(f64463,plain,
    one_one_int = aa_nat_int(semiri1406184849735516958ct_int,one_one_nat),
    inference(forward_demodulation,[],[f39044,f38966]) ).

tff(f39044,plain,
    one_one_int = aa_nat_int(semiri1406184849735516958ct_int,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f8564]) ).

tff(f8564,axiom,
    one_one_int = aa_nat_int(semiri1406184849735516958ct_int,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8563_fact__Suc__0) ).

tff(f79565,plain,
    spl3933_290,
    inference(avatar_split_clause,[],[f64462,f79562]) ).

tff(f79562,plain,
    ( spl3933_290
  <=> ( one_one_int = aa_nat_int(bit_se2000444600071755411sk_int,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_290])]) ).

tff(f64462,plain,
    one_one_int = aa_nat_int(bit_se2000444600071755411sk_int,one_one_nat),
    inference(forward_demodulation,[],[f39043,f38966]) ).

tff(f39043,plain,
    one_one_int = aa_nat_int(bit_se2000444600071755411sk_int,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f6886]) ).

tff(f6886,axiom,
    one_one_int = aa_nat_int(bit_se2000444600071755411sk_int,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6885_mask__Suc__0) ).

tff(f79560,plain,
    spl3933_289,
    inference(avatar_split_clause,[],[f64461,f79557]) ).

tff(f79557,plain,
    ( spl3933_289
  <=> ( one_one_nat = aa_nat_nat(semiri1408675320244567234ct_nat,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_289])]) ).

tff(f64461,plain,
    one_one_nat = aa_nat_nat(semiri1408675320244567234ct_nat,one_one_nat),
    inference(forward_demodulation,[],[f39042,f38966]) ).

tff(f39042,plain,
    one_one_nat = aa_nat_nat(semiri1408675320244567234ct_nat,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f8566]) ).

tff(f8566,axiom,
    one_one_nat = aa_nat_nat(semiri1408675320244567234ct_nat,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8565_fact__Suc__0) ).

tff(f79555,plain,
    spl3933_288,
    inference(avatar_split_clause,[],[f64460,f79552]) ).

tff(f79552,plain,
    ( spl3933_288
  <=> ( one_one_nat = aa_nat_nat(bit_se2002935070580805687sk_nat,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_288])]) ).

tff(f64460,plain,
    one_one_nat = aa_nat_nat(bit_se2002935070580805687sk_nat,one_one_nat),
    inference(forward_demodulation,[],[f39041,f38966]) ).

tff(f39041,plain,
    one_one_nat = aa_nat_nat(bit_se2002935070580805687sk_nat,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f6885]) ).

tff(f6885,axiom,
    one_one_nat = aa_nat_nat(bit_se2002935070580805687sk_nat,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6884_mask__Suc__0) ).

tff(f79550,plain,
    spl3933_287,
    inference(avatar_split_clause,[],[f64459,f79547]) ).

tff(f79547,plain,
    ( spl3933_287
  <=> ( one_one_rat = aa_nat_rat(semiri773545260158071498ct_rat,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_287])]) ).

tff(f64459,plain,
    one_one_rat = aa_nat_rat(semiri773545260158071498ct_rat,one_one_nat),
    inference(forward_demodulation,[],[f39040,f38966]) ).

tff(f39040,plain,
    one_one_rat = aa_nat_rat(semiri773545260158071498ct_rat,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f8563]) ).

tff(f8563,axiom,
    one_one_rat = aa_nat_rat(semiri773545260158071498ct_rat,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8562_fact__Suc__0) ).

tff(f79545,plain,
    spl3933_286,
    inference(avatar_split_clause,[],[f64458,f79542]) ).

tff(f79542,plain,
    ( spl3933_286
  <=> ( one_one_complex = aa_nat_complex(semiri5044797733671781792omplex,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_286])]) ).

tff(f64458,plain,
    one_one_complex = aa_nat_complex(semiri5044797733671781792omplex,one_one_nat),
    inference(forward_demodulation,[],[f39038,f38966]) ).

tff(f39038,plain,
    one_one_complex = aa_nat_complex(semiri5044797733671781792omplex,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f8562]) ).

tff(f8562,axiom,
    one_one_complex = aa_nat_complex(semiri5044797733671781792omplex,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8561_fact__Suc__0) ).

tff(f79540,plain,
    spl3933_285,
    inference(avatar_split_clause,[],[f64457,f79537]) ).

tff(f64457,plain,
    pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_buildup(zero_zero_nat))),
    inference(forward_demodulation,[],[f39009,f39005]) ).

tff(f39009,plain,
    pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fFalse,fFalse))),
    inference(cnf_transformation,[],[f3781]) ).

tff(f3781,axiom,
    pp(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_Leaf(fFalse,fFalse))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3780_VEBT__internal_OminNull_Osimps_I1_J) ).

tff(f79535,plain,
    spl3933_284,
    inference(avatar_split_clause,[],[f64453,f79532]) ).

tff(f79532,plain,
    ( spl3933_284
  <=> ( code_negative = comp_C3531382070062128313er_num(uminus1351360451143612070nteger,code_integer_of_num) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_284])]) ).

tff(f64453,plain,
    code_negative = comp_C3531382070062128313er_num(uminus1351360451143612070nteger,code_integer_of_num),
    inference(forward_demodulation,[],[f58351,f58349]) ).

tff(f58349,plain,
    code_positive = code_integer_of_num,
    inference(definition_unfolding,[],[f38911,f38910]) ).

tff(f38910,plain,
    numera6620942414471956472nteger = code_positive,
    inference(cnf_transformation,[],[f9652]) ).

tff(f9652,axiom,
    numera6620942414471956472nteger = code_positive,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9651_Code__Numeral_Opositive__def) ).

tff(f38911,plain,
    numera6620942414471956472nteger = code_integer_of_num,
    inference(cnf_transformation,[],[f9740]) ).

tff(f9740,axiom,
    numera6620942414471956472nteger = code_integer_of_num,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9739_integer__of__num__def) ).

tff(f58351,plain,
    code_negative = comp_C3531382070062128313er_num(uminus1351360451143612070nteger,code_positive),
    inference(definition_unfolding,[],[f38943,f38910]) ).

tff(f38943,plain,
    code_negative = comp_C3531382070062128313er_num(uminus1351360451143612070nteger,numera6620942414471956472nteger),
    inference(cnf_transformation,[],[f9712]) ).

tff(f9712,axiom,
    code_negative = comp_C3531382070062128313er_num(uminus1351360451143612070nteger,numera6620942414471956472nteger),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9711_Code__Numeral_Onegative__def) ).

tff(f79530,plain,
    spl3933_283,
    inference(avatar_split_clause,[],[f64298,f79528]) ).

tff(f79528,plain,
    ( spl3933_283
  <=> ! [X2: list_VEBT_VEBT,X1: nat,X3: nat] : sP669(X1,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_283])]) ).

tff(f64298,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X1: nat] : sP669(X1,X1,X2,X3),
    inference(equality_resolution,[],[f58154]) ).

tff(f58154,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X0: nat,X1: nat] :
      ( sP669(X0,X1,X2,X3)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f38795]) ).

tff(f38795,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat] :
      ( ( sP669(X0,X1,X2,X3)
        | ( ( ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,sK3907(X0,X1,X2,X3)),X0))
                | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),sK3907(X0,X1,X2,X3))) )
              & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),sK3907(X0,X1,X2,X3)))
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3907(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
            | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X0)) )
          & ( X0 != X1 ) ) )
      & ( ( ! [X5: nat] :
              ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X0))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),X5)) )
              | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X5))
              | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X0)) )
        | ( X0 = X1 )
        | ~ sP669(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3907])],[f38793,f38794]) ).

tff(f38794,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat] :
      ( ? [X4: nat] :
          ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X4),X0))
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),X4)) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X4))
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
     => ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,sK3907(X0,X1,X2,X3)),X0))
          | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),sK3907(X0,X1,X2,X3))) )
        & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),sK3907(X0,X1,X2,X3)))
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3907(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) ) ),
    introduced(choice_axiom,[]) ).

tff(f38793,plain,
    ! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat] :
      ( ( sP669(X0,X1,X2,X3)
        | ( ( ? [X4: nat] :
                ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X4),X0))
                  | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),X4)) )
                & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X4))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
            | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X0)) )
          & ( X0 != X1 ) ) )
      & ( ( ! [X5: nat] :
              ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X0))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),X5)) )
              | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X5))
              | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X3))) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X3),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2),X0)) )
        | ( X0 = X1 )
        | ~ sP669(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38792]) ).

tff(f38792,plain,
    ! [X4: nat,X3: nat,X1: list_VEBT_VEBT,X0: nat] :
      ( ( sP669(X4,X3,X1,X0)
        | ( ( ? [X5: nat] :
                ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X4))
                  | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X5)) )
                & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X5))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) )
            | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X4)) )
          & ( X3 != X4 ) ) )
      & ( ( ! [X5: nat] :
              ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X4))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X5)) )
              | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X5))
              | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X4)) )
        | ( X3 = X4 )
        | ~ sP669(X4,X3,X1,X0) ) ),
    inference(flattening,[],[f38791]) ).

tff(f38791,plain,
    ! [X4: nat,X3: nat,X1: list_VEBT_VEBT,X0: nat] :
      ( ( sP669(X4,X3,X1,X0)
        | ( ( ? [X5: nat] :
                ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X4))
                  | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X5)) )
                & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X5))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) )
            | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X4)) )
          & ( X3 != X4 ) ) )
      & ( ( ! [X5: nat] :
              ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X4))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X5)) )
              | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X5))
              | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X4)) )
        | ( X3 = X4 )
        | ~ sP669(X4,X3,X1,X0) ) ),
    inference(nnf_transformation,[],[f29534]) ).

tff(f29534,plain,
    ! [X4: nat,X3: nat,X1: list_VEBT_VEBT,X0: nat] :
      ( sP669(X4,X3,X1,X0)
    <=> ( ( ! [X5: nat] :
              ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X5),X4))
                & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X5)) )
              | ~ pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X5))
              | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) )
          & pp(aa_nat_bool(vEBT_V5917875025757280293ildren(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1),X4)) )
        | ( X3 = X4 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP669])]) ).

tff(f79526,plain,
    spl3933_282,
    inference(avatar_split_clause,[],[f64247,f79524]) ).

tff(f79524,plain,
    ( spl3933_282
  <=> ! [X2: int,X3: int] : sP645(X3,X2,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_282])]) ).

tff(f64247,plain,
    ! [X2: int,X3: int] : sP645(X3,X2,X2,X3),
    inference(equality_resolution,[],[f64246]) ).

tff(f64246,plain,
    ! [X2: int,X3: int,X0: int] :
      ( sP645(X0,X2,X2,X3)
      | ( X0 != X3 ) ),
    inference(equality_resolution,[],[f57690]) ).

tff(f57690,plain,
    ! [X2: int,X3: int,X0: int,X1: int] :
      ( sP645(X0,X1,X2,X3)
      | ( X1 != X2 )
      | ( X0 != X3 ) ),
    inference(cnf_transformation,[],[f38372]) ).

tff(f38372,plain,
    ! [X0: int,X1: int,X2: int,X3: int] :
      ( ( sP645(X0,X1,X2,X3)
        | ( ( ( X0 != X1 )
            | ( X2 != X3 ) )
          & ( ( X1 != X2 )
            | ( X0 != X3 ) ) ) )
      & ( ( ( X0 = X1 )
          & ( X2 = X3 ) )
        | ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ~ sP645(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38371]) ).

tff(f38371,plain,
    ! [X2: int,X1: int,X3: int,X0: int] :
      ( ( sP645(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP645(X2,X1,X3,X0) ) ),
    inference(flattening,[],[f38370]) ).

tff(f38370,plain,
    ! [X2: int,X1: int,X3: int,X0: int] :
      ( ( sP645(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP645(X2,X1,X3,X0) ) ),
    inference(nnf_transformation,[],[f29486]) ).

tff(f29486,plain,
    ! [X2: int,X1: int,X3: int,X0: int] :
      ( sP645(X2,X1,X3,X0)
    <=> ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP645])]) ).

tff(f79522,plain,
    spl3933_281,
    inference(avatar_split_clause,[],[f64245,f79520]) ).

tff(f79520,plain,
    ( spl3933_281
  <=> ! [X1: int,X3: int] : sP645(X1,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_281])]) ).

tff(f64245,plain,
    ! [X3: int,X1: int] : sP645(X1,X1,X3,X3),
    inference(equality_resolution,[],[f64244]) ).

tff(f64244,plain,
    ! [X2: int,X3: int,X1: int] :
      ( sP645(X1,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f57691]) ).

tff(f57691,plain,
    ! [X2: int,X3: int,X0: int,X1: int] :
      ( sP645(X0,X1,X2,X3)
      | ( X0 != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f38372]) ).

tff(f79518,plain,
    spl3933_280,
    inference(avatar_split_clause,[],[f64243,f79516]) ).

tff(f79516,plain,
    ( spl3933_280
  <=> ! [X2: nat,X3: nat] : sP644(X3,X2,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_280])]) ).

tff(f64243,plain,
    ! [X2: nat,X3: nat] : sP644(X3,X2,X2,X3),
    inference(equality_resolution,[],[f64242]) ).

tff(f64242,plain,
    ! [X2: nat,X3: nat,X0: nat] :
      ( sP644(X0,X2,X2,X3)
      | ( X0 != X3 ) ),
    inference(equality_resolution,[],[f57682]) ).

tff(f57682,plain,
    ! [X2: nat,X3: nat,X0: nat,X1: nat] :
      ( sP644(X0,X1,X2,X3)
      | ( X1 != X2 )
      | ( X0 != X3 ) ),
    inference(cnf_transformation,[],[f38368]) ).

tff(f38368,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( sP644(X0,X1,X2,X3)
        | ( ( ( X0 != X1 )
            | ( X2 != X3 ) )
          & ( ( X1 != X2 )
            | ( X0 != X3 ) ) ) )
      & ( ( ( X0 = X1 )
          & ( X2 = X3 ) )
        | ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ~ sP644(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38367]) ).

tff(f38367,plain,
    ! [X2: nat,X1: nat,X3: nat,X0: nat] :
      ( ( sP644(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP644(X2,X1,X3,X0) ) ),
    inference(flattening,[],[f38366]) ).

tff(f38366,plain,
    ! [X2: nat,X1: nat,X3: nat,X0: nat] :
      ( ( sP644(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP644(X2,X1,X3,X0) ) ),
    inference(nnf_transformation,[],[f29484]) ).

tff(f29484,plain,
    ! [X2: nat,X1: nat,X3: nat,X0: nat] :
      ( sP644(X2,X1,X3,X0)
    <=> ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP644])]) ).

tff(f79514,plain,
    spl3933_279,
    inference(avatar_split_clause,[],[f64241,f79512]) ).

tff(f79512,plain,
    ( spl3933_279
  <=> ! [X1: nat,X3: nat] : sP644(X1,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_279])]) ).

tff(f64241,plain,
    ! [X3: nat,X1: nat] : sP644(X1,X1,X3,X3),
    inference(equality_resolution,[],[f64240]) ).

tff(f64240,plain,
    ! [X2: nat,X3: nat,X1: nat] :
      ( sP644(X1,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f57683]) ).

tff(f57683,plain,
    ! [X2: nat,X3: nat,X0: nat,X1: nat] :
      ( sP644(X0,X1,X2,X3)
      | ( X0 != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f38368]) ).

tff(f79510,plain,
    spl3933_278,
    inference(avatar_split_clause,[],[f64235,f79508]) ).

tff(f79508,plain,
    ( spl3933_278
  <=> ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat] : sP641(X3,X2,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_278])]) ).

tff(f64235,plain,
    ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat] : sP641(X3,X2,X2,X3),
    inference(equality_resolution,[],[f64234]) ).

tff(f64234,plain,
    ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat] :
      ( sP641(X0,X2,X2,X3)
      | ( X0 != X3 ) ),
    inference(equality_resolution,[],[f57649]) ).

tff(f57649,plain,
    ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( sP641(X0,X1,X2,X3)
      | ( X1 != X2 )
      | ( X0 != X3 ) ),
    inference(cnf_transformation,[],[f38352]) ).

tff(f38352,plain,
    ! [X0: product_prod_nat_nat,X1: product_prod_nat_nat,X2: product_prod_nat_nat,X3: product_prod_nat_nat] :
      ( ( sP641(X0,X1,X2,X3)
        | ( ( ( X0 != X1 )
            | ( X2 != X3 ) )
          & ( ( X1 != X2 )
            | ( X0 != X3 ) ) ) )
      & ( ( ( X0 = X1 )
          & ( X2 = X3 ) )
        | ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ~ sP641(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38351]) ).

tff(f38351,plain,
    ! [X2: product_prod_nat_nat,X1: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat] :
      ( ( sP641(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP641(X2,X1,X3,X0) ) ),
    inference(flattening,[],[f38350]) ).

tff(f38350,plain,
    ! [X2: product_prod_nat_nat,X1: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat] :
      ( ( sP641(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP641(X2,X1,X3,X0) ) ),
    inference(nnf_transformation,[],[f29479]) ).

tff(f29479,plain,
    ! [X2: product_prod_nat_nat,X1: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat] :
      ( sP641(X2,X1,X3,X0)
    <=> ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP641])]) ).

tff(f79506,plain,
    spl3933_277,
    inference(avatar_split_clause,[],[f64233,f79504]) ).

tff(f79504,plain,
    ( spl3933_277
  <=> ! [X1: product_prod_nat_nat,X3: product_prod_nat_nat] : sP641(X1,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_277])]) ).

tff(f64233,plain,
    ! [X3: product_prod_nat_nat,X1: product_prod_nat_nat] : sP641(X1,X1,X3,X3),
    inference(equality_resolution,[],[f64232]) ).

tff(f64232,plain,
    ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( sP641(X1,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f57650]) ).

tff(f57650,plain,
    ! [X2: product_prod_nat_nat,X3: product_prod_nat_nat,X0: product_prod_nat_nat,X1: product_prod_nat_nat] :
      ( sP641(X0,X1,X2,X3)
      | ( X0 != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f38352]) ).

tff(f79502,plain,
    spl3933_276,
    inference(avatar_split_clause,[],[f64231,f79500]) ).

tff(f79500,plain,
    ( spl3933_276
  <=> ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat] : sP640(X3,X2,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_276])]) ).

tff(f64231,plain,
    ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat] : sP640(X3,X2,X2,X3),
    inference(equality_resolution,[],[f64230]) ).

tff(f64230,plain,
    ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat] :
      ( sP640(X0,X2,X2,X3)
      | ( X0 != X3 ) ),
    inference(equality_resolution,[],[f57641]) ).

tff(f57641,plain,
    ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( sP640(X0,X1,X2,X3)
      | ( X1 != X2 )
      | ( X0 != X3 ) ),
    inference(cnf_transformation,[],[f38348]) ).

tff(f38348,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat,X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat] :
      ( ( sP640(X0,X1,X2,X3)
        | ( ( ( X0 != X1 )
            | ( X2 != X3 ) )
          & ( ( X1 != X2 )
            | ( X0 != X3 ) ) ) )
      & ( ( ( X0 = X1 )
          & ( X2 = X3 ) )
        | ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ~ sP640(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38347]) ).

tff(f38347,plain,
    ! [X2: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat] :
      ( ( sP640(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP640(X2,X1,X3,X0) ) ),
    inference(flattening,[],[f38346]) ).

tff(f38346,plain,
    ! [X2: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat] :
      ( ( sP640(X2,X1,X3,X0)
        | ( ( ( X1 != X2 )
            | ( X0 != X3 ) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP640(X2,X1,X3,X0) ) ),
    inference(nnf_transformation,[],[f29477]) ).

tff(f29477,plain,
    ! [X2: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat] :
      ( sP640(X2,X1,X3,X0)
    <=> ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP640])]) ).

tff(f79498,plain,
    spl3933_275,
    inference(avatar_split_clause,[],[f64229,f79496]) ).

tff(f79496,plain,
    ( spl3933_275
  <=> ! [X1: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat] : sP640(X1,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_275])]) ).

tff(f64229,plain,
    ! [X3: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] : sP640(X1,X1,X3,X3),
    inference(equality_resolution,[],[f64228]) ).

tff(f64228,plain,
    ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( sP640(X1,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f57642]) ).

tff(f57642,plain,
    ! [X2: produc3843707927480180839at_nat,X3: produc3843707927480180839at_nat,X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( sP640(X0,X1,X2,X3)
      | ( X0 != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f38348]) ).

tff(f79494,plain,
    spl3933_274,
    inference(avatar_split_clause,[],[f64221,f79492]) ).

tff(f79492,plain,
    ( spl3933_274
  <=> ! [X2: nat,X3: nat] : sP632(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_274])]) ).

tff(f64221,plain,
    ! [X2: nat,X3: nat] : sP632(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64220]) ).

tff(f64220,plain,
    ! [X2: nat,X3: nat,X1: nat] :
      ( sP632(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57477]) ).

tff(f57477,plain,
    ! [X2: nat,X3: nat,X0: nat,X1: nat] :
      ( sP632(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38262]) ).

tff(f38262,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( sP632(X0,X1,X2,X3)
        | ( ( 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,X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ 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,X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP632(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38261]) ).

tff(f38261,plain,
    ! [X3: nat,X2: nat,X1: nat,X0: nat] :
      ( ( sP632(X3,X2,X1,X0)
        | ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP632(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38260]) ).

tff(f38260,plain,
    ! [X3: nat,X2: nat,X1: nat,X0: nat] :
      ( ( sP632(X3,X2,X1,X0)
        | ( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP632(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29462]) ).

tff(f29462,plain,
    ! [X3: nat,X2: nat,X1: nat,X0: nat] :
      ( sP632(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP632])]) ).

tff(f79490,plain,
    spl3933_273,
    inference(avatar_split_clause,[],[f64201,f79488]) ).

tff(f79488,plain,
    ( spl3933_273
  <=> ! [X2: real,X3: real] : sP629(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_273])]) ).

tff(f64201,plain,
    ! [X2: real,X3: real] : sP629(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64200]) ).

tff(f64200,plain,
    ! [X2: real,X3: real,X1: real] :
      ( sP629(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57418]) ).

tff(f57418,plain,
    ! [X2: real,X3: real,X0: real,X1: real] :
      ( sP629(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38230]) ).

tff(f38230,plain,
    ! [X0: real,X1: real,X2: real,X3: real] :
      ( ( sP629(X0,X1,X2,X3)
        | ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
            | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP629(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38229]) ).

tff(f38229,plain,
    ! [X3: real,X2: real,X1: real,X0: real] :
      ( ( sP629(X3,X2,X1,X0)
        | ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X2),X3))
            | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X2),X3))
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP629(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38228]) ).

tff(f38228,plain,
    ! [X3: real,X2: real,X1: real,X0: real] :
      ( ( sP629(X3,X2,X1,X0)
        | ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X2),X3))
            | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X2),X3))
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP629(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29456]) ).

tff(f29456,plain,
    ! [X3: real,X2: real,X1: real,X0: real] :
      ( sP629(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X2),X3))
          & ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP629])]) ).

tff(f79486,plain,
    spl3933_272,
    inference(avatar_split_clause,[],[f64199,f79484]) ).

tff(f79484,plain,
    ( spl3933_272
  <=> ! [X2: int,X3: int] : sP628(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_272])]) ).

tff(f64199,plain,
    ! [X2: int,X3: int] : sP628(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64198]) ).

tff(f64198,plain,
    ! [X2: int,X3: int,X1: int] :
      ( sP628(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57410]) ).

tff(f57410,plain,
    ! [X2: int,X3: int,X0: int,X1: int] :
      ( sP628(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38226]) ).

tff(f38226,plain,
    ! [X0: int,X1: int,X2: int,X3: int] :
      ( ( sP628(X0,X1,X2,X3)
        | ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X1),X0))
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X1),X0))
          & ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP628(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38225]) ).

tff(f38225,plain,
    ! [X3: int,X2: int,X1: int,X0: int] :
      ( ( sP628(X3,X2,X1,X0)
        | ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X2),X3))
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X2),X3))
          & ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP628(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38224]) ).

tff(f38224,plain,
    ! [X3: int,X2: int,X1: int,X0: int] :
      ( ( sP628(X3,X2,X1,X0)
        | ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X2),X3))
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X2),X3))
          & ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP628(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29454]) ).

tff(f29454,plain,
    ! [X3: int,X2: int,X1: int,X0: int] :
      ( sP628(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X2),X3))
          & ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_eq_int,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP628])]) ).

tff(f79482,plain,
    spl3933_271,
    inference(avatar_split_clause,[],[f64197,f79480]) ).

tff(f79480,plain,
    ( spl3933_271
  <=> ! [X2: rat,X3: rat] : sP627(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_271])]) ).

tff(f64197,plain,
    ! [X2: rat,X3: rat] : sP627(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64196]) ).

tff(f64196,plain,
    ! [X2: rat,X3: rat,X1: rat] :
      ( sP627(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57402]) ).

tff(f57402,plain,
    ! [X2: rat,X3: rat,X0: rat,X1: rat] :
      ( sP627(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38222]) ).

tff(f38222,plain,
    ! [X0: rat,X1: rat,X2: rat,X3: rat] :
      ( ( sP627(X0,X1,X2,X3)
        | ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
            | pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
          & ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP627(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38221]) ).

tff(f38221,plain,
    ! [X3: rat,X2: rat,X1: rat,X0: rat] :
      ( ( sP627(X3,X2,X1,X0)
        | ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X2),X3))
            | pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X2),X3))
          & ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP627(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38220]) ).

tff(f38220,plain,
    ! [X3: rat,X2: rat,X1: rat,X0: rat] :
      ( ( sP627(X3,X2,X1,X0)
        | ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X2),X3))
            | pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X2),X3))
          & ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP627(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29452]) ).

tff(f29452,plain,
    ! [X3: rat,X2: rat,X1: rat,X0: rat] :
      ( sP627(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X2),X3))
          & ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP627])]) ).

tff(f79478,plain,
    spl3933_270,
    inference(avatar_split_clause,[],[f64195,f79476]) ).

tff(f79476,plain,
    ( spl3933_270
  <=> ! [X2: num,X3: num] : sP626(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_270])]) ).

tff(f64195,plain,
    ! [X2: num,X3: num] : sP626(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64194]) ).

tff(f64194,plain,
    ! [X2: num,X3: num,X1: num] :
      ( sP626(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57394]) ).

tff(f57394,plain,
    ! [X2: num,X3: num,X0: num,X1: num] :
      ( sP626(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38218]) ).

tff(f38218,plain,
    ! [X0: num,X1: num,X2: num,X3: num] :
      ( ( sP626(X0,X1,X2,X3)
        | ( ( pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X1),X0))
            | pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X1),X0))
          & ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP626(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38217]) ).

tff(f38217,plain,
    ! [X3: num,X2: num,X1: num,X0: num] :
      ( ( sP626(X3,X2,X1,X0)
        | ( ( pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X2),X3))
            | pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X2),X3))
          & ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP626(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38216]) ).

tff(f38216,plain,
    ! [X3: num,X2: num,X1: num,X0: num] :
      ( ( sP626(X3,X2,X1,X0)
        | ( ( pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X2),X3))
            | pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X2),X3))
          & ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP626(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29450]) ).

tff(f29450,plain,
    ! [X3: num,X2: num,X1: num,X0: num] :
      ( sP626(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X2),X3))
          & ~ pp(aa_num_bool(aa_num_fun_num_bool(ord_less_eq_num,X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP626])]) ).

tff(f79474,plain,
    spl3933_269,
    inference(avatar_split_clause,[],[f64193,f79472]) ).

tff(f79472,plain,
    ( spl3933_269
  <=> ! [X2: set_nat,X3: set_nat] : sP625(X2,X3,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_269])]) ).

tff(f64193,plain,
    ! [X2: set_nat,X3: set_nat] : sP625(X2,X3,X2,X3),
    inference(equality_resolution,[],[f64192]) ).

tff(f64192,plain,
    ! [X2: set_nat,X3: set_nat,X1: set_nat] :
      ( sP625(X2,X1,X2,X3)
      | ( X1 != X3 ) ),
    inference(equality_resolution,[],[f57386]) ).

tff(f57386,plain,
    ! [X2: set_nat,X3: set_nat,X0: set_nat,X1: set_nat] :
      ( sP625(X0,X1,X2,X3)
      | ( X0 != X2 )
      | ( X1 != X3 ) ),
    inference(cnf_transformation,[],[f38214]) ).

tff(f38214,plain,
    ! [X0: set_nat,X1: set_nat,X2: set_nat,X3: set_nat] :
      ( ( sP625(X0,X1,X2,X3)
        | ( ( pp(aa_set_nat_bool(ord_less_eq_set_nat(X1),X0))
            | pp(aa_set_nat_bool(ord_less_eq_set_nat(X3),X2)) )
          & ( ( X0 != X2 )
            | ( X1 != X3 ) ) ) )
      & ( ( ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X1),X0))
          & ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X3),X2)) )
        | ( ( X0 = X2 )
          & ( X1 = X3 ) )
        | ~ sP625(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f38213]) ).

tff(f38213,plain,
    ! [X3: set_nat,X2: set_nat,X1: set_nat,X0: set_nat] :
      ( ( sP625(X3,X2,X1,X0)
        | ( ( pp(aa_set_nat_bool(ord_less_eq_set_nat(X2),X3))
            | pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X2),X3))
          & ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP625(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f38212]) ).

tff(f38212,plain,
    ! [X3: set_nat,X2: set_nat,X1: set_nat,X0: set_nat] :
      ( ( sP625(X3,X2,X1,X0)
        | ( ( pp(aa_set_nat_bool(ord_less_eq_set_nat(X2),X3))
            | pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) )
          & ( ( X1 != X3 )
            | ( X0 != X2 ) ) ) )
      & ( ( ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X2),X3))
          & ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ~ sP625(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f29448]) ).

tff(f29448,plain,
    ! [X3: set_nat,X2: set_nat,X1: set_nat,X0: set_nat] :
      ( sP625(X3,X2,X1,X0)
    <=> ( ( ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X2),X3))
          & ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP625])]) ).

tff(f79470,plain,
    spl3933_268,
    inference(avatar_split_clause,[],[f64028,f79468]) ).

tff(f79468,plain,
    ( spl3933_268
  <=> ! [X2: nat,X1: set_nat,X3: set_nat] : sP601(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_268])]) ).

tff(f64028,plain,
    ! [X2: nat,X3: set_nat,X1: set_nat] : sP601(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56691]) ).

tff(f56691,plain,
    ! [X2: nat,X3: set_nat,X0: nat,X1: set_nat] :
      ( sP601(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37750]) ).

tff(f37750,plain,
    ! [X0: nat,X1: set_nat,X2: nat,X3: set_nat] :
      ( ( sP601(X0,X1,X2,X3)
        | ( ! [X4: set_nat] :
              ( pp(aa_set_nat_bool(member_nat(X0),X4))
              | ( insert_nat(X0,X4) != X1 )
              | pp(aa_set_nat_bool(member_nat(X2),X4))
              | ( insert_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set_nat_bool(member_nat(X0),sK3410(X0,X1,X2,X3)))
          & ( insert_nat(X0,sK3410(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set_nat_bool(member_nat(X2),sK3410(X0,X1,X2,X3)))
          & ( insert_nat(X2,sK3410(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP601(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3410])],[f37748,f37749]) ).

tff(f37749,plain,
    ! [X0: nat,X1: set_nat,X2: nat,X3: set_nat] :
      ( ? [X5: set_nat] :
          ( ~ pp(aa_set_nat_bool(member_nat(X0),X5))
          & ( insert_nat(X0,X5) = X1 )
          & ~ pp(aa_set_nat_bool(member_nat(X2),X5))
          & ( insert_nat(X2,X5) = X3 ) )
     => ( ~ pp(aa_set_nat_bool(member_nat(X0),sK3410(X0,X1,X2,X3)))
        & ( insert_nat(X0,sK3410(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set_nat_bool(member_nat(X2),sK3410(X0,X1,X2,X3)))
        & ( insert_nat(X2,sK3410(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37748,plain,
    ! [X0: nat,X1: set_nat,X2: nat,X3: set_nat] :
      ( ( sP601(X0,X1,X2,X3)
        | ( ! [X4: set_nat] :
              ( pp(aa_set_nat_bool(member_nat(X0),X4))
              | ( insert_nat(X0,X4) != X1 )
              | pp(aa_set_nat_bool(member_nat(X2),X4))
              | ( insert_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X0),X5))
            & ( insert_nat(X0,X5) = X1 )
            & ~ pp(aa_set_nat_bool(member_nat(X2),X5))
            & ( insert_nat(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP601(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37747]) ).

tff(f37747,plain,
    ! [X0: nat,X3: set_nat,X2: nat,X1: set_nat] :
      ( ( sP601(X0,X3,X2,X1)
        | ( ! [X4: set_nat] :
              ( pp(aa_set_nat_bool(member_nat(X0),X4))
              | ( insert_nat(X0,X4) != X3 )
              | pp(aa_set_nat_bool(member_nat(X2),X4))
              | ( insert_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X0),X4))
            & ( insert_nat(X0,X4) = X3 )
            & ~ pp(aa_set_nat_bool(member_nat(X2),X4))
            & ( insert_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP601(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37746]) ).

tff(f37746,plain,
    ! [X0: nat,X3: set_nat,X2: nat,X1: set_nat] :
      ( ( sP601(X0,X3,X2,X1)
        | ( ! [X4: set_nat] :
              ( pp(aa_set_nat_bool(member_nat(X0),X4))
              | ( insert_nat(X0,X4) != X3 )
              | pp(aa_set_nat_bool(member_nat(X2),X4))
              | ( insert_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X0),X4))
            & ( insert_nat(X0,X4) = X3 )
            & ~ pp(aa_set_nat_bool(member_nat(X2),X4))
            & ( insert_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP601(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29404]) ).

tff(f29404,plain,
    ! [X0: nat,X3: set_nat,X2: nat,X1: set_nat] :
      ( sP601(X0,X3,X2,X1)
    <=> ( ? [X4: set_nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X0),X4))
            & ( insert_nat(X0,X4) = X3 )
            & ~ pp(aa_set_nat_bool(member_nat(X2),X4))
            & ( insert_nat(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP601])]) ).

tff(f79466,plain,
    spl3933_267,
    inference(avatar_split_clause,[],[f64023,f79464]) ).

tff(f79464,plain,
    ( spl3933_267
  <=> ! [X2: complex,X1: set_complex,X3: set_complex] : sP600(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_267])]) ).

tff(f64023,plain,
    ! [X2: complex,X3: set_complex,X1: set_complex] : sP600(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56681]) ).

tff(f56681,plain,
    ! [X2: complex,X3: set_complex,X0: complex,X1: set_complex] :
      ( sP600(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37743]) ).

tff(f37743,plain,
    ! [X0: complex,X1: set_complex,X2: complex,X3: set_complex] :
      ( ( sP600(X0,X1,X2,X3)
        | ( ! [X4: set_complex] :
              ( pp(aa_set_complex_bool(member_complex(X0),X4))
              | ( insert_complex(X0,X4) != X1 )
              | pp(aa_set_complex_bool(member_complex(X2),X4))
              | ( insert_complex(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set_complex_bool(member_complex(X0),sK3409(X0,X1,X2,X3)))
          & ( insert_complex(X0,sK3409(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set_complex_bool(member_complex(X2),sK3409(X0,X1,X2,X3)))
          & ( insert_complex(X2,sK3409(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP600(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3409])],[f37741,f37742]) ).

tff(f37742,plain,
    ! [X0: complex,X1: set_complex,X2: complex,X3: set_complex] :
      ( ? [X5: set_complex] :
          ( ~ pp(aa_set_complex_bool(member_complex(X0),X5))
          & ( insert_complex(X0,X5) = X1 )
          & ~ pp(aa_set_complex_bool(member_complex(X2),X5))
          & ( insert_complex(X2,X5) = X3 ) )
     => ( ~ pp(aa_set_complex_bool(member_complex(X0),sK3409(X0,X1,X2,X3)))
        & ( insert_complex(X0,sK3409(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set_complex_bool(member_complex(X2),sK3409(X0,X1,X2,X3)))
        & ( insert_complex(X2,sK3409(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37741,plain,
    ! [X0: complex,X1: set_complex,X2: complex,X3: set_complex] :
      ( ( sP600(X0,X1,X2,X3)
        | ( ! [X4: set_complex] :
              ( pp(aa_set_complex_bool(member_complex(X0),X4))
              | ( insert_complex(X0,X4) != X1 )
              | pp(aa_set_complex_bool(member_complex(X2),X4))
              | ( insert_complex(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_complex] :
            ( ~ pp(aa_set_complex_bool(member_complex(X0),X5))
            & ( insert_complex(X0,X5) = X1 )
            & ~ pp(aa_set_complex_bool(member_complex(X2),X5))
            & ( insert_complex(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP600(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37740]) ).

tff(f37740,plain,
    ! [X0: complex,X3: set_complex,X2: complex,X1: set_complex] :
      ( ( sP600(X0,X3,X2,X1)
        | ( ! [X4: set_complex] :
              ( pp(aa_set_complex_bool(member_complex(X0),X4))
              | ( insert_complex(X0,X4) != X3 )
              | pp(aa_set_complex_bool(member_complex(X2),X4))
              | ( insert_complex(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_complex] :
            ( ~ pp(aa_set_complex_bool(member_complex(X0),X4))
            & ( insert_complex(X0,X4) = X3 )
            & ~ pp(aa_set_complex_bool(member_complex(X2),X4))
            & ( insert_complex(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP600(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37739]) ).

tff(f37739,plain,
    ! [X0: complex,X3: set_complex,X2: complex,X1: set_complex] :
      ( ( sP600(X0,X3,X2,X1)
        | ( ! [X4: set_complex] :
              ( pp(aa_set_complex_bool(member_complex(X0),X4))
              | ( insert_complex(X0,X4) != X3 )
              | pp(aa_set_complex_bool(member_complex(X2),X4))
              | ( insert_complex(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_complex] :
            ( ~ pp(aa_set_complex_bool(member_complex(X0),X4))
            & ( insert_complex(X0,X4) = X3 )
            & ~ pp(aa_set_complex_bool(member_complex(X2),X4))
            & ( insert_complex(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP600(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29402]) ).

tff(f29402,plain,
    ! [X0: complex,X3: set_complex,X2: complex,X1: set_complex] :
      ( sP600(X0,X3,X2,X1)
    <=> ( ? [X4: set_complex] :
            ( ~ pp(aa_set_complex_bool(member_complex(X0),X4))
            & ( insert_complex(X0,X4) = X3 )
            & ~ pp(aa_set_complex_bool(member_complex(X2),X4))
            & ( insert_complex(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP600])]) ).

tff(f79462,plain,
    spl3933_266,
    inference(avatar_split_clause,[],[f64018,f79460]) ).

tff(f79460,plain,
    ( spl3933_266
  <=> ! [X2: bool,X1: set_bool,X3: bool] : sP597(X1,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_266])]) ).

tff(f64018,plain,
    ! [X2: bool,X3: bool,X1: set_bool] : sP597(X1,X1,X2,X3),
    inference(equality_resolution,[],[f56670]) ).

tff(f56670,plain,
    ! [X2: bool,X3: bool,X0: set_bool,X1: set_bool] :
      ( sP597(X0,X1,X2,X3)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f37734]) ).

tff(f37734,plain,
    ! [X0: set_bool,X1: set_bool,X2: bool,X3: bool] :
      ( ( sP597(X0,X1,X2,X3)
        | ( ( X0 != X1 )
          & ( pp(X3)
            | ~ pp(X2) )
          & ( pp(X2)
            | ~ pp(X3) ) ) )
      & ( ( X0 = X1 )
        | ( ( ~ pp(X2)
            | ~ pp(X3) )
          & ( pp(X2)
            | pp(X3) ) )
        | ~ sP597(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37733]) ).

tff(f37733,plain,
    ! [X3: set_bool,X1: set_bool,X2: bool,X0: bool] :
      ( ( sP597(X3,X1,X2,X0)
        | ( ( X1 != X3 )
          & ( pp(X0)
            | ~ pp(X2) )
          & ( pp(X2)
            | ~ pp(X0) ) ) )
      & ( ( X1 = X3 )
        | ( ( ~ pp(X2)
            | ~ pp(X0) )
          & ( pp(X2)
            | pp(X0) ) )
        | ~ sP597(X3,X1,X2,X0) ) ),
    inference(flattening,[],[f37732]) ).

tff(f37732,plain,
    ! [X3: set_bool,X1: set_bool,X2: bool,X0: bool] :
      ( ( sP597(X3,X1,X2,X0)
        | ( ( X1 != X3 )
          & ( pp(X0)
            | ~ pp(X2) )
          & ( pp(X2)
            | ~ pp(X0) ) ) )
      & ( ( X1 = X3 )
        | ( ( ~ pp(X2)
            | ~ pp(X0) )
          & ( pp(X2)
            | pp(X0) ) )
        | ~ sP597(X3,X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f29398]) ).

tff(f29398,plain,
    ! [X3: set_bool,X1: set_bool,X2: bool,X0: bool] :
      ( sP597(X3,X1,X2,X0)
    <=> ( ( X1 = X3 )
        | ( pp(X0)
        <~> pp(X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP597])]) ).

tff(f79458,plain,
    spl3933_265,
    inference(avatar_split_clause,[],[f64015,f79456]) ).

tff(f79456,plain,
    ( spl3933_265
  <=> ! [X2: int,X1: set_int,X3: set_int] : sP595(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_265])]) ).

tff(f64015,plain,
    ! [X2: int,X3: set_int,X1: set_int] : sP595(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56652]) ).

tff(f56652,plain,
    ! [X2: int,X3: set_int,X0: int,X1: set_int] :
      ( sP595(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37724]) ).

tff(f37724,plain,
    ! [X0: int,X1: set_int,X2: int,X3: set_int] :
      ( ( sP595(X0,X1,X2,X3)
        | ( ! [X4: set_int] :
              ( pp(aa_set_int_bool(member_int(X0),X4))
              | ( insert_int(X0,X4) != X1 )
              | pp(aa_set_int_bool(member_int(X2),X4))
              | ( insert_int(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set_int_bool(member_int(X0),sK3407(X0,X1,X2,X3)))
          & ( insert_int(X0,sK3407(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set_int_bool(member_int(X2),sK3407(X0,X1,X2,X3)))
          & ( insert_int(X2,sK3407(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP595(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3407])],[f37722,f37723]) ).

tff(f37723,plain,
    ! [X0: int,X1: set_int,X2: int,X3: set_int] :
      ( ? [X5: set_int] :
          ( ~ pp(aa_set_int_bool(member_int(X0),X5))
          & ( insert_int(X0,X5) = X1 )
          & ~ pp(aa_set_int_bool(member_int(X2),X5))
          & ( insert_int(X2,X5) = X3 ) )
     => ( ~ pp(aa_set_int_bool(member_int(X0),sK3407(X0,X1,X2,X3)))
        & ( insert_int(X0,sK3407(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set_int_bool(member_int(X2),sK3407(X0,X1,X2,X3)))
        & ( insert_int(X2,sK3407(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37722,plain,
    ! [X0: int,X1: set_int,X2: int,X3: set_int] :
      ( ( sP595(X0,X1,X2,X3)
        | ( ! [X4: set_int] :
              ( pp(aa_set_int_bool(member_int(X0),X4))
              | ( insert_int(X0,X4) != X1 )
              | pp(aa_set_int_bool(member_int(X2),X4))
              | ( insert_int(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_int] :
            ( ~ pp(aa_set_int_bool(member_int(X0),X5))
            & ( insert_int(X0,X5) = X1 )
            & ~ pp(aa_set_int_bool(member_int(X2),X5))
            & ( insert_int(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP595(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37721]) ).

tff(f37721,plain,
    ! [X0: int,X3: set_int,X2: int,X1: set_int] :
      ( ( sP595(X0,X3,X2,X1)
        | ( ! [X4: set_int] :
              ( pp(aa_set_int_bool(member_int(X0),X4))
              | ( insert_int(X0,X4) != X3 )
              | pp(aa_set_int_bool(member_int(X2),X4))
              | ( insert_int(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_int] :
            ( ~ pp(aa_set_int_bool(member_int(X0),X4))
            & ( insert_int(X0,X4) = X3 )
            & ~ pp(aa_set_int_bool(member_int(X2),X4))
            & ( insert_int(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP595(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37720]) ).

tff(f37720,plain,
    ! [X0: int,X3: set_int,X2: int,X1: set_int] :
      ( ( sP595(X0,X3,X2,X1)
        | ( ! [X4: set_int] :
              ( pp(aa_set_int_bool(member_int(X0),X4))
              | ( insert_int(X0,X4) != X3 )
              | pp(aa_set_int_bool(member_int(X2),X4))
              | ( insert_int(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_int] :
            ( ~ pp(aa_set_int_bool(member_int(X0),X4))
            & ( insert_int(X0,X4) = X3 )
            & ~ pp(aa_set_int_bool(member_int(X2),X4))
            & ( insert_int(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP595(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29395]) ).

tff(f29395,plain,
    ! [X0: int,X3: set_int,X2: int,X1: set_int] :
      ( sP595(X0,X3,X2,X1)
    <=> ( ? [X4: set_int] :
            ( ~ pp(aa_set_int_bool(member_int(X0),X4))
            & ( insert_int(X0,X4) = X3 )
            & ~ pp(aa_set_int_bool(member_int(X2),X4))
            & ( insert_int(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP595])]) ).

tff(f79454,plain,
    spl3933_264,
    inference(avatar_split_clause,[],[f64010,f79452]) ).

tff(f79452,plain,
    ( spl3933_264
  <=> ! [X2: real,X1: set_real,X3: set_real] : sP594(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_264])]) ).

tff(f64010,plain,
    ! [X2: real,X3: set_real,X1: set_real] : sP594(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56642]) ).

tff(f56642,plain,
    ! [X2: real,X3: set_real,X0: real,X1: set_real] :
      ( sP594(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37717]) ).

tff(f37717,plain,
    ! [X0: real,X1: set_real,X2: real,X3: set_real] :
      ( ( sP594(X0,X1,X2,X3)
        | ( ! [X4: set_real] :
              ( pp(aa_set_real_bool(member_real(X0),X4))
              | ( insert_real(X0,X4) != X1 )
              | pp(aa_set_real_bool(member_real(X2),X4))
              | ( insert_real(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set_real_bool(member_real(X0),sK3406(X0,X1,X2,X3)))
          & ( insert_real(X0,sK3406(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set_real_bool(member_real(X2),sK3406(X0,X1,X2,X3)))
          & ( insert_real(X2,sK3406(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP594(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3406])],[f37715,f37716]) ).

tff(f37716,plain,
    ! [X0: real,X1: set_real,X2: real,X3: set_real] :
      ( ? [X5: set_real] :
          ( ~ pp(aa_set_real_bool(member_real(X0),X5))
          & ( insert_real(X0,X5) = X1 )
          & ~ pp(aa_set_real_bool(member_real(X2),X5))
          & ( insert_real(X2,X5) = X3 ) )
     => ( ~ pp(aa_set_real_bool(member_real(X0),sK3406(X0,X1,X2,X3)))
        & ( insert_real(X0,sK3406(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set_real_bool(member_real(X2),sK3406(X0,X1,X2,X3)))
        & ( insert_real(X2,sK3406(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37715,plain,
    ! [X0: real,X1: set_real,X2: real,X3: set_real] :
      ( ( sP594(X0,X1,X2,X3)
        | ( ! [X4: set_real] :
              ( pp(aa_set_real_bool(member_real(X0),X4))
              | ( insert_real(X0,X4) != X1 )
              | pp(aa_set_real_bool(member_real(X2),X4))
              | ( insert_real(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_real] :
            ( ~ pp(aa_set_real_bool(member_real(X0),X5))
            & ( insert_real(X0,X5) = X1 )
            & ~ pp(aa_set_real_bool(member_real(X2),X5))
            & ( insert_real(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP594(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37714]) ).

tff(f37714,plain,
    ! [X0: real,X3: set_real,X2: real,X1: set_real] :
      ( ( sP594(X0,X3,X2,X1)
        | ( ! [X4: set_real] :
              ( pp(aa_set_real_bool(member_real(X0),X4))
              | ( insert_real(X0,X4) != X3 )
              | pp(aa_set_real_bool(member_real(X2),X4))
              | ( insert_real(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_real] :
            ( ~ pp(aa_set_real_bool(member_real(X0),X4))
            & ( insert_real(X0,X4) = X3 )
            & ~ pp(aa_set_real_bool(member_real(X2),X4))
            & ( insert_real(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP594(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37713]) ).

tff(f37713,plain,
    ! [X0: real,X3: set_real,X2: real,X1: set_real] :
      ( ( sP594(X0,X3,X2,X1)
        | ( ! [X4: set_real] :
              ( pp(aa_set_real_bool(member_real(X0),X4))
              | ( insert_real(X0,X4) != X3 )
              | pp(aa_set_real_bool(member_real(X2),X4))
              | ( insert_real(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_real] :
            ( ~ pp(aa_set_real_bool(member_real(X0),X4))
            & ( insert_real(X0,X4) = X3 )
            & ~ pp(aa_set_real_bool(member_real(X2),X4))
            & ( insert_real(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP594(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29393]) ).

tff(f29393,plain,
    ! [X0: real,X3: set_real,X2: real,X1: set_real] :
      ( sP594(X0,X3,X2,X1)
    <=> ( ? [X4: set_real] :
            ( ~ pp(aa_set_real_bool(member_real(X0),X4))
            & ( insert_real(X0,X4) = X3 )
            & ~ pp(aa_set_real_bool(member_real(X2),X4))
            & ( insert_real(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP594])]) ).

tff(f79450,plain,
    spl3933_263,
    inference(avatar_split_clause,[],[f64005,f79448]) ).

tff(f79448,plain,
    ( spl3933_263
  <=> ! [X2: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat,X3: set_Pr1261947904930325089at_nat] : sP593(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_263])]) ).

tff(f64005,plain,
    ! [X2: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat,X1: set_Pr1261947904930325089at_nat] : sP593(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56632]) ).

tff(f56632,plain,
    ! [X2: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat,X0: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat] :
      ( sP593(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37710]) ).

tff(f37710,plain,
    ! [X0: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat] :
      ( ( sP593(X0,X1,X2,X3)
        | ( ! [X4: set_Pr1261947904930325089at_nat] :
              ( pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
              | ( insert8211810215607154385at_nat(X0,X4) != X1 )
              | pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
              | ( insert8211810215607154385at_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),sK3405(X0,X1,X2,X3)))
          & ( insert8211810215607154385at_nat(X0,sK3405(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),sK3405(X0,X1,X2,X3)))
          & ( insert8211810215607154385at_nat(X2,sK3405(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP593(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3405])],[f37708,f37709]) ).

tff(f37709,plain,
    ! [X0: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat] :
      ( ? [X5: set_Pr1261947904930325089at_nat] :
          ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X5))
          & ( insert8211810215607154385at_nat(X0,X5) = X1 )
          & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X5))
          & ( insert8211810215607154385at_nat(X2,X5) = X3 ) )
     => ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),sK3405(X0,X1,X2,X3)))
        & ( insert8211810215607154385at_nat(X0,sK3405(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),sK3405(X0,X1,X2,X3)))
        & ( insert8211810215607154385at_nat(X2,sK3405(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37708,plain,
    ! [X0: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat] :
      ( ( sP593(X0,X1,X2,X3)
        | ( ! [X4: set_Pr1261947904930325089at_nat] :
              ( pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
              | ( insert8211810215607154385at_nat(X0,X4) != X1 )
              | pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
              | ( insert8211810215607154385at_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_Pr1261947904930325089at_nat] :
            ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X5))
            & ( insert8211810215607154385at_nat(X0,X5) = X1 )
            & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X5))
            & ( insert8211810215607154385at_nat(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP593(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37707]) ).

tff(f37707,plain,
    ! [X0: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat] :
      ( ( sP593(X0,X3,X2,X1)
        | ( ! [X4: set_Pr1261947904930325089at_nat] :
              ( pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
              | ( insert8211810215607154385at_nat(X0,X4) != X3 )
              | pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
              | ( insert8211810215607154385at_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_Pr1261947904930325089at_nat] :
            ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
            & ( insert8211810215607154385at_nat(X0,X4) = X3 )
            & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
            & ( insert8211810215607154385at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP593(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37706]) ).

tff(f37706,plain,
    ! [X0: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat] :
      ( ( sP593(X0,X3,X2,X1)
        | ( ! [X4: set_Pr1261947904930325089at_nat] :
              ( pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
              | ( insert8211810215607154385at_nat(X0,X4) != X3 )
              | pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
              | ( insert8211810215607154385at_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_Pr1261947904930325089at_nat] :
            ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
            & ( insert8211810215607154385at_nat(X0,X4) = X3 )
            & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
            & ( insert8211810215607154385at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP593(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29391]) ).

tff(f29391,plain,
    ! [X0: product_prod_nat_nat,X3: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X1: set_Pr1261947904930325089at_nat] :
      ( sP593(X0,X3,X2,X1)
    <=> ( ? [X4: set_Pr1261947904930325089at_nat] :
            ( ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),X4))
            & ( insert8211810215607154385at_nat(X0,X4) = X3 )
            & ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X2),X4))
            & ( insert8211810215607154385at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP593])]) ).

tff(f79446,plain,
    spl3933_262,
    inference(avatar_split_clause,[],[f64000,f79444]) ).

tff(f79444,plain,
    ( spl3933_262
  <=> ! [X2: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat,X3: set_Pr4329608150637261639at_nat] : sP592(X2,X1,X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_262])]) ).

tff(f64000,plain,
    ! [X2: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat,X1: set_Pr4329608150637261639at_nat] : sP592(X2,X1,X2,X3),
    inference(equality_resolution,[],[f56622]) ).

tff(f56622,plain,
    ! [X2: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat,X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( sP592(X0,X1,X2,X3)
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f37703]) ).

tff(f37703,plain,
    ! [X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat] :
      ( ( sP592(X0,X1,X2,X3)
        | ( ! [X4: set_Pr4329608150637261639at_nat] :
              ( pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
              | ( insert9069300056098147895at_nat(X0,X4) != X1 )
              | pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
              | ( insert9069300056098147895at_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),sK3404(X0,X1,X2,X3)))
          & ( insert9069300056098147895at_nat(X0,sK3404(X0,X1,X2,X3)) = X1 )
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),sK3404(X0,X1,X2,X3)))
          & ( insert9069300056098147895at_nat(X2,sK3404(X0,X1,X2,X3)) = X3 ) )
        | ( X0 = X2 )
        | ~ sP592(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3404])],[f37701,f37702]) ).

tff(f37702,plain,
    ! [X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat] :
      ( ? [X5: set_Pr4329608150637261639at_nat] :
          ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X5))
          & ( insert9069300056098147895at_nat(X0,X5) = X1 )
          & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X5))
          & ( insert9069300056098147895at_nat(X2,X5) = X3 ) )
     => ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),sK3404(X0,X1,X2,X3)))
        & ( insert9069300056098147895at_nat(X0,sK3404(X0,X1,X2,X3)) = X1 )
        & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),sK3404(X0,X1,X2,X3)))
        & ( insert9069300056098147895at_nat(X2,sK3404(X0,X1,X2,X3)) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f37701,plain,
    ! [X0: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat] :
      ( ( sP592(X0,X1,X2,X3)
        | ( ! [X4: set_Pr4329608150637261639at_nat] :
              ( pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
              | ( insert9069300056098147895at_nat(X0,X4) != X1 )
              | pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
              | ( insert9069300056098147895at_nat(X2,X4) != X3 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X5: set_Pr4329608150637261639at_nat] :
            ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X5))
            & ( insert9069300056098147895at_nat(X0,X5) = X1 )
            & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X5))
            & ( insert9069300056098147895at_nat(X2,X5) = X3 ) )
        | ( X0 = X2 )
        | ~ sP592(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f37700]) ).

tff(f37700,plain,
    ! [X0: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP592(X0,X3,X2,X1)
        | ( ! [X4: set_Pr4329608150637261639at_nat] :
              ( pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
              | ( insert9069300056098147895at_nat(X0,X4) != X3 )
              | pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
              | ( insert9069300056098147895at_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_Pr4329608150637261639at_nat] :
            ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
            & ( insert9069300056098147895at_nat(X0,X4) = X3 )
            & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
            & ( insert9069300056098147895at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP592(X0,X3,X2,X1) ) ),
    inference(flattening,[],[f37699]) ).

tff(f37699,plain,
    ! [X0: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( ( sP592(X0,X3,X2,X1)
        | ( ! [X4: set_Pr4329608150637261639at_nat] :
              ( pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
              | ( insert9069300056098147895at_nat(X0,X4) != X3 )
              | pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
              | ( insert9069300056098147895at_nat(X2,X4) != X1 ) )
          & ( X0 != X2 ) ) )
      & ( ? [X4: set_Pr4329608150637261639at_nat] :
            ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
            & ( insert9069300056098147895at_nat(X0,X4) = X3 )
            & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
            & ( insert9069300056098147895at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 )
        | ~ sP592(X0,X3,X2,X1) ) ),
    inference(nnf_transformation,[],[f29389]) ).

tff(f29389,plain,
    ! [X0: produc3843707927480180839at_nat,X3: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat,X1: set_Pr4329608150637261639at_nat] :
      ( sP592(X0,X3,X2,X1)
    <=> ( ? [X4: set_Pr4329608150637261639at_nat] :
            ( ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X0),X4))
            & ( insert9069300056098147895at_nat(X0,X4) = X3 )
            & ~ pp(aa_set4148026973699692364t_bool(member8757157785044589968at_nat(X2),X4))
            & ( insert9069300056098147895at_nat(X2,X4) = X1 ) )
        | ( X0 = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP592])]) ).

tff(f79442,plain,
    spl3933_261,
    inference(avatar_split_clause,[],[f63733,f79440]) ).

tff(f79440,plain,
    ( spl3933_261
  <=> ! [X1: bool] :
        ( sP473(one_one_nat,X1)
        | ~ pp(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_261])]) ).

tff(f63733,plain,
    ! [X1: bool] :
      ( sP473(one_one_nat,X1)
      | ~ pp(X1) ),
    inference(equality_resolution,[],[f54437]) ).

tff(f54437,plain,
    ! [X0: nat,X1: bool] :
      ( sP473(X0,X1)
      | ( one_one_nat != X0 )
      | ~ pp(X1) ),
    inference(cnf_transformation,[],[f36479]) ).

tff(f36479,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP473(X0,X1)
        | ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) ) )
      & ( ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 )
        | ~ sP473(X0,X1) ) ),
    inference(rectify,[],[f36478]) ).

tff(f36478,plain,
    ! [X2: nat,X1: bool] :
      ( ( sP473(X2,X1)
        | ( ( ( one_one_nat != X2 )
            | ( ~ pp(X1)
              & ( one_one_nat = X2 ) ) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 )
        | ~ sP473(X2,X1) ) ),
    inference(flattening,[],[f36477]) ).

tff(f36477,plain,
    ! [X2: nat,X1: bool] :
      ( ( sP473(X2,X1)
        | ( ( ( one_one_nat != X2 )
            | ( ~ pp(X1)
              & ( one_one_nat = X2 ) ) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 )
        | ~ sP473(X2,X1) ) ),
    inference(nnf_transformation,[],[f29184]) ).

tff(f29184,plain,
    ! [X2: nat,X1: bool] :
      ( sP473(X2,X1)
    <=> ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP473])]) ).

tff(f79438,plain,
    spl3933_260,
    inference(avatar_split_clause,[],[f63727,f79436]) ).

tff(f79436,plain,
    ( spl3933_260
  <=> ! [X1: bool] :
        ( sP472(one_one_nat,X1)
        | ~ pp(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_260])]) ).

tff(f63727,plain,
    ! [X1: bool] :
      ( sP472(one_one_nat,X1)
      | ~ pp(X1) ),
    inference(equality_resolution,[],[f54426]) ).

tff(f54426,plain,
    ! [X0: nat,X1: bool] :
      ( sP472(X0,X1)
      | ( one_one_nat != X0 )
      | ~ pp(X1) ),
    inference(cnf_transformation,[],[f36473]) ).

tff(f36473,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP472(X0,X1)
        | ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) ) )
      & ( ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 )
        | ~ sP472(X0,X1) ) ),
    inference(rectify,[],[f36472]) ).

tff(f36472,plain,
    ! [X2: nat,X1: bool] :
      ( ( sP472(X2,X1)
        | ( ( ( one_one_nat != X2 )
            | ( ~ pp(X1)
              & ( one_one_nat = X2 ) ) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 )
        | ~ sP472(X2,X1) ) ),
    inference(flattening,[],[f36471]) ).

tff(f36471,plain,
    ! [X2: nat,X1: bool] :
      ( ( sP472(X2,X1)
        | ( ( ( one_one_nat != X2 )
            | ( ~ pp(X1)
              & ( one_one_nat = X2 ) ) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 )
        | ~ sP472(X2,X1) ) ),
    inference(nnf_transformation,[],[f29182]) ).

tff(f29182,plain,
    ! [X2: nat,X1: bool] :
      ( sP472(X2,X1)
    <=> ( ( ( one_one_nat = X2 )
          & ( pp(X1)
            | ( one_one_nat != X2 ) ) )
        | ( zero_zero_nat = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP472])]) ).

tff(f79434,plain,
    spl3933_259,
    inference(avatar_split_clause,[],[f63585,f79432]) ).

tff(f79432,plain,
    ( spl3933_259
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP413(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_259])]) ).

tff(f63585,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP413(one_one_nat,X1) ),
    inference(equality_resolution,[],[f53325]) ).

tff(f53325,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP413(X0,X1) ),
    inference(cnf_transformation,[],[f35654]) ).

tff(f35654,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP413(X0,X1)
        | ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 ) )
      & ( ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) )
        | ~ sP413(X0,X1) ) ),
    inference(rectify,[],[f35653]) ).

tff(f35653,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP413(X1,X4)
        | ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) )
      & ( ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) )
        | ~ sP413(X1,X4) ) ),
    inference(flattening,[],[f35652]) ).

tff(f35652,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP413(X1,X4)
        | ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) )
      & ( ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) )
        | ~ sP413(X1,X4) ) ),
    inference(nnf_transformation,[],[f29086]) ).

tff(f29086,plain,
    ! [X1: nat,X4: bool] :
      ( sP413(X1,X4)
    <=> ( ( ( one_one_nat != X1 )
          | ( ~ pp(X4)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP413])]) ).

tff(f79430,plain,
    spl3933_258,
    inference(avatar_split_clause,[],[f63577,f79428]) ).

tff(f79428,plain,
    ( spl3933_258
  <=> ! [X1: bool] :
        ( sP404(one_one_nat,X1)
        | ~ pp(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_258])]) ).

tff(f63577,plain,
    ! [X1: bool] :
      ( sP404(one_one_nat,X1)
      | ~ pp(X1) ),
    inference(equality_resolution,[],[f53296]) ).

tff(f53296,plain,
    ! [X0: nat,X1: bool] :
      ( sP404(X0,X1)
      | ( one_one_nat != X0 )
      | ~ pp(X1) ),
    inference(cnf_transformation,[],[f35627]) ).

tff(f35627,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP404(X0,X1)
        | ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) ) )
      & ( ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 )
        | ~ sP404(X0,X1) ) ),
    inference(rectify,[],[f35626]) ).

tff(f35626,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP404(X1,X4)
        | ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 )
        | ~ sP404(X1,X4) ) ),
    inference(flattening,[],[f35625]) ).

tff(f35625,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP404(X1,X4)
        | ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 )
        | ~ sP404(X1,X4) ) ),
    inference(nnf_transformation,[],[f29076]) ).

tff(f29076,plain,
    ! [X1: nat,X4: bool] :
      ( sP404(X1,X4)
    <=> ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP404])]) ).

tff(f79426,plain,
    spl3933_257,
    inference(avatar_split_clause,[],[f63559,f79424]) ).

tff(f79424,plain,
    ( spl3933_257
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP376(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_257])]) ).

tff(f63559,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP376(one_one_nat,X1) ),
    inference(equality_resolution,[],[f53162]) ).

tff(f53162,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP376(X0,X1) ),
    inference(cnf_transformation,[],[f35495]) ).

tff(f35495,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP376(X0,X1)
        | ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 ) )
      & ( ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) )
        | ~ sP376(X0,X1) ) ),
    inference(rectify,[],[f35494]) ).

tff(f35494,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP376(X1,X4)
        | ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) )
      & ( ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) )
        | ~ sP376(X1,X4) ) ),
    inference(flattening,[],[f35493]) ).

tff(f35493,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP376(X1,X4)
        | ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) )
      & ( ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) )
        | ~ sP376(X1,X4) ) ),
    inference(nnf_transformation,[],[f29043]) ).

tff(f29043,plain,
    ! [X1: nat,X4: bool] :
      ( sP376(X1,X4)
    <=> ( ( ( one_one_nat != X1 )
          | ( ~ pp(X4)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP376])]) ).

tff(f79422,plain,
    spl3933_256,
    inference(avatar_split_clause,[],[f63553,f79420]) ).

tff(f79420,plain,
    ( spl3933_256
  <=> ! [X1: bool] :
        ( sP370(one_one_nat,X1)
        | ~ pp(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_256])]) ).

tff(f63553,plain,
    ! [X1: bool] :
      ( sP370(one_one_nat,X1)
      | ~ pp(X1) ),
    inference(equality_resolution,[],[f53145]) ).

tff(f53145,plain,
    ! [X0: nat,X1: bool] :
      ( sP370(X0,X1)
      | ( one_one_nat != X0 )
      | ~ pp(X1) ),
    inference(cnf_transformation,[],[f35479]) ).

tff(f35479,plain,
    ! [X0: nat,X1: bool] :
      ( ( sP370(X0,X1)
        | ( ( ( one_one_nat != X0 )
            | ( ~ pp(X1)
              & ( one_one_nat = X0 ) ) )
          & ( zero_zero_nat != X0 ) ) )
      & ( ( ( one_one_nat = X0 )
          & ( pp(X1)
            | ( one_one_nat != X0 ) ) )
        | ( zero_zero_nat = X0 )
        | ~ sP370(X0,X1) ) ),
    inference(rectify,[],[f35478]) ).

tff(f35478,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP370(X1,X4)
        | ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 )
        | ~ sP370(X1,X4) ) ),
    inference(flattening,[],[f35477]) ).

tff(f35477,plain,
    ! [X1: nat,X4: bool] :
      ( ( sP370(X1,X4)
        | ( ( ( one_one_nat != X1 )
            | ( ~ pp(X4)
              & ( one_one_nat = X1 ) ) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 )
        | ~ sP370(X1,X4) ) ),
    inference(nnf_transformation,[],[f29036]) ).

tff(f29036,plain,
    ! [X1: nat,X4: bool] :
      ( sP370(X1,X4)
    <=> ( ( ( one_one_nat = X1 )
          & ( pp(X4)
            | ( one_one_nat != X1 ) ) )
        | ( zero_zero_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP370])]) ).

tff(f79418,plain,
    spl3933_255,
    inference(avatar_split_clause,[],[f63004,f79416]) ).

tff(f79416,plain,
    ( spl3933_255
  <=> ! [X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP136(X0,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_255])]) ).

tff(f63004,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat] : sP136(X0,X1,X3,X3),
    inference(equality_resolution,[],[f47425]) ).

tff(f47425,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat] :
      ( sP136(X0,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f32723]) ).

tff(f32723,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ( sP136(X0,X1,X2,X3)
        | ( ( ~ sP135(X3,X2,X1,sK2187(X0,X1,X2,X3),X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK2187(X0,X1,X2,X3))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK2187(X0,X1,X2,X3) ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK2187(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
          & ( X2 != X3 ) ) )
      & ( ! [X5: nat] :
            ( ( sP135(X3,X2,X1,X5,X0)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) != X5 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1))) )
        | ( X2 = X3 )
        | ~ sP136(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2187])],[f32721,f32722]) ).

tff(f32722,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ? [X4: nat] :
          ( ( ~ sP135(X3,X2,X1,X4,X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X4)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X4 ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1))) )
     => ( ( ~ sP135(X3,X2,X1,sK2187(X0,X1,X2,X3),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK2187(X0,X1,X2,X3))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK2187(X0,X1,X2,X3) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK2187(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1))) ) ),
    introduced(choice_axiom,[]) ).

tff(f32721,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ( sP136(X0,X1,X2,X3)
        | ( ? [X4: nat] :
              ( ( ~ sP135(X3,X2,X1,X4,X0)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X4)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X4 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1))) )
          & ( X2 != X3 ) ) )
      & ( ! [X5: nat] :
            ( ( sP135(X3,X2,X1,X5,X0)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) != X5 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1))) )
        | ( X2 = X3 )
        | ~ sP136(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f32720]) ).

tff(f32720,plain,
    ! [X14: list_VEBT_VEBT,X15: nat,X17: nat,X18: nat] :
      ( ( sP136(X14,X15,X17,X18)
        | ( ? [X19: nat] :
              ( ( ~ sP135(X18,X17,X15,X19,X14)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X14,X19)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X18),X15)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X18),X15) = X19 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X19),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X15))) )
          & ( X17 != X18 ) ) )
      & ( ! [X19: nat] :
            ( ( sP135(X18,X17,X15,X19,X14)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X14,X19)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X18),X15)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X18),X15) != X19 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X19),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X15))) )
        | ( X17 = X18 )
        | ~ sP136(X14,X15,X17,X18) ) ),
    inference(flattening,[],[f32719]) ).

tff(f32719,plain,
    ! [X14: list_VEBT_VEBT,X15: nat,X17: nat,X18: nat] :
      ( ( sP136(X14,X15,X17,X18)
        | ( ? [X19: nat] :
              ( ( ~ sP135(X18,X17,X15,X19,X14)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X14,X19)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X18),X15)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X18),X15) = X19 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X19),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X15))) )
          & ( X17 != X18 ) ) )
      & ( ! [X19: nat] :
            ( ( sP135(X18,X17,X15,X19,X14)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X14,X19)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X18),X15)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X18),X15) != X19 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X19),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X15))) )
        | ( X17 = X18 )
        | ~ sP136(X14,X15,X17,X18) ) ),
    inference(nnf_transformation,[],[f28688]) ).

tff(f28688,plain,
    ! [X14: list_VEBT_VEBT,X15: nat,X17: nat,X18: nat] :
      ( sP136(X14,X15,X17,X18)
    <=> ( ! [X19: nat] :
            ( ( sP135(X18,X17,X15,X19,X14)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X14,X19)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X18),X15)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X18),X15) != X19 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X19),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X15))) )
        | ( X17 = X18 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).

tff(f79414,plain,
    spl3933_254,
    inference(avatar_split_clause,[],[f62999,f79412]) ).

tff(f79412,plain,
    ( spl3933_254
  <=> ! [X0: list_VEBT_VEBT,X1: nat,X3: nat] : sP140(X0,X1,X3,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_254])]) ).

tff(f62999,plain,
    ! [X3: nat,X0: list_VEBT_VEBT,X1: nat] : sP140(X0,X1,X3,X3),
    inference(equality_resolution,[],[f47405]) ).

tff(f47405,plain,
    ! [X2: nat,X3: nat,X0: list_VEBT_VEBT,X1: nat] :
      ( sP140(X0,X1,X2,X3)
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f32701]) ).

tff(f32701,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ( sP140(X0,X1,X2,X3)
        | ( ( ~ sP139(X3,X2,X1,sK2180(X0,X1,X2,X3),X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK2180(X0,X1,X2,X3))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK2180(X0,X1,X2,X3) ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK2180(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1))))
          & ( X2 != X3 ) ) )
      & ( ! [X5: nat] :
            ( ( sP139(X3,X2,X1,X5,X0)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) != X5 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1)))) )
        | ( X2 = X3 )
        | ~ sP140(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2180])],[f32699,f32700]) ).

tff(f32700,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ? [X4: nat] :
          ( ( ~ sP139(X3,X2,X1,X4,X0)
            | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X4)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X4 ) ) )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1)))) )
     => ( ( ~ sP139(X3,X2,X1,sK2180(X0,X1,X2,X3),X0)
          | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,sK2180(X0,X1,X2,X3))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
            & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = sK2180(X0,X1,X2,X3) ) ) )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK2180(X0,X1,X2,X3)),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1)))) ) ),
    introduced(choice_axiom,[]) ).

tff(f32699,plain,
    ! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( ( sP140(X0,X1,X2,X3)
        | ( ? [X4: nat] :
              ( ( ~ sP139(X3,X2,X1,X4,X0)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X4)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) = X4 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1)))) )
          & ( X2 != X3 ) ) )
      & ( ! [X5: nat] :
            ( ( sP139(X3,X2,X1,X5,X0)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X0,X5)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X3),X1)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X3),X1) != X5 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X5),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X1)))) )
        | ( X2 = X3 )
        | ~ sP140(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f32698]) ).

tff(f32698,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X5: nat,X6: nat] :
      ( ( sP140(X2,X3,X5,X6)
        | ( ? [X7: nat] :
              ( ( ~ sP139(X6,X5,X3,X7,X2)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,X7)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X3)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X3) = X7 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X7),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X3)))) )
          & ( X5 != X6 ) ) )
      & ( ! [X7: nat] :
            ( ( sP139(X6,X5,X3,X7,X2)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,X7)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X3)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X3) != X7 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X7),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X3)))) )
        | ( X5 = X6 )
        | ~ sP140(X2,X3,X5,X6) ) ),
    inference(flattening,[],[f32697]) ).

tff(f32697,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X5: nat,X6: nat] :
      ( ( sP140(X2,X3,X5,X6)
        | ( ? [X7: nat] :
              ( ( ~ sP139(X6,X5,X3,X7,X2)
                | ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,X7)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X3)))
                  & ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X3) = X7 ) ) )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X7),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X3)))) )
          & ( X5 != X6 ) ) )
      & ( ! [X7: nat] :
            ( ( sP139(X6,X5,X3,X7,X2)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,X7)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X3)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X3) != X7 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X7),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X3)))) )
        | ( X5 = X6 )
        | ~ sP140(X2,X3,X5,X6) ) ),
    inference(nnf_transformation,[],[f28692]) ).

tff(f28692,plain,
    ! [X2: list_VEBT_VEBT,X3: nat,X5: nat,X6: nat] :
      ( sP140(X2,X3,X5,X6)
    <=> ( ! [X7: nat] :
            ( ( sP139(X6,X5,X3,X7,X2)
              & ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(X2,X7)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X6),X3)))
                | ( aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X6),X3) != X7 ) ) )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X7),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,X3)))) )
        | ( X5 = X6 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).

tff(f79410,plain,
    spl3933_253,
    inference(avatar_split_clause,[],[f62957,f79408]) ).

tff(f79408,plain,
    ( spl3933_253
  <=> ! [X1: set_nat] : pp(aa_set_nat_bool(aTP_Lamm_al(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_253])]) ).

tff(f62957,plain,
    ! [X1: set_nat] : pp(aa_set_nat_bool(aTP_Lamm_al(X1),X1)),
    inference(equality_resolution,[],[f47220]) ).

tff(f47220,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(aTP_Lamm_al(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32575]) ).

tff(f32575,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( pp(aa_set_nat_bool(aTP_Lamm_al(X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_set_nat_bool(aTP_Lamm_al(X0),X1)) ) ),
    inference(nnf_transformation,[],[f16723]) ).

tff(f16723,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(aTP_Lamm_al(X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10392]) ).

tff(f10392,axiom,
    ! [X93: set_nat,X269: set_nat] :
      ( pp(aa_set_nat_bool(aTP_Lamm_al(X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10391_ATP_Olambda__186) ).

tff(f79406,plain,
    spl3933_252,
    inference(avatar_split_clause,[],[f62956,f79404]) ).

tff(f79404,plain,
    ( spl3933_252
  <=> ! [X1: list_nat] : pp(aa_list_nat_bool(aTP_Lamm_am(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_252])]) ).

tff(f62956,plain,
    ! [X1: list_nat] : pp(aa_list_nat_bool(aTP_Lamm_am(X1),X1)),
    inference(equality_resolution,[],[f47142]) ).

tff(f47142,plain,
    ! [X0: list_nat,X1: list_nat] :
      ( pp(aa_list_nat_bool(aTP_Lamm_am(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32516]) ).

tff(f32516,plain,
    ! [X0: list_nat,X1: list_nat] :
      ( ( pp(aa_list_nat_bool(aTP_Lamm_am(X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_list_nat_bool(aTP_Lamm_am(X0),X1)) ) ),
    inference(nnf_transformation,[],[f16688]) ).

tff(f16688,plain,
    ! [X0: list_nat,X1: list_nat] :
      ( pp(aa_list_nat_bool(aTP_Lamm_am(X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10390]) ).

tff(f10390,axiom,
    ! [X93: list_nat,X269: list_nat] :
      ( pp(aa_list_nat_bool(aTP_Lamm_am(X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10389_ATP_Olambda__184) ).

tff(f79402,plain,
    spl3933_251,
    inference(avatar_split_clause,[],[f62955,f79400]) ).

tff(f79400,plain,
    ( spl3933_251
  <=> ! [X1: produc3843707927480180839at_nat] : pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_251])]) ).

tff(f62955,plain,
    ! [X1: produc3843707927480180839at_nat] : pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X1),X1)),
    inference(equality_resolution,[],[f47134]) ).

tff(f47134,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32512]) ).

tff(f32512,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( ( pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X0),X1))
        | ( X0 != X1 ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X0),X1)) ) ),
    inference(nnf_transformation,[],[f16684]) ).

tff(f16684,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X0),X1))
    <=> ( X0 = X1 ) ),
    inference(rectify,[],[f10387]) ).

tff(f10387,axiom,
    ! [X93: produc3843707927480180839at_nat,X269: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(aTP_Lamm_aj(X93),X269))
    <=> ( X93 = X269 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10386_ATP_Olambda__181) ).

tff(f79398,plain,
    spl3933_250,
    inference(avatar_split_clause,[],[f62862,f79396]) ).

tff(f79396,plain,
    ( spl3933_250
  <=> ! [X0: nat] : ( nil_nat = upt(X0,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_250])]) ).

tff(f62862,plain,
    ! [X0: nat] : ( nil_nat = upt(X0,zero_zero_nat) ),
    inference(equality_resolution,[],[f46939]) ).

tff(f46939,plain,
    ! [X0: nat,X1: nat] :
      ( ( nil_nat = upt(X0,X1) )
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f32387]) ).

tff(f32387,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( nil_nat = upt(X0,X1) )
        | ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
          & ( zero_zero_nat != X1 ) ) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
        | ( zero_zero_nat = X1 )
        | ( nil_nat != upt(X0,X1) ) ) ),
    inference(flattening,[],[f32386]) ).

tff(f32386,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( nil_nat = upt(X0,X1) )
        | ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
          & ( zero_zero_nat != X1 ) ) )
      & ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
        | ( zero_zero_nat = X1 )
        | ( nil_nat != upt(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f16607]) ).

tff(f16607,plain,
    ! [X0: nat,X1: nat] :
      ( ( nil_nat = upt(X0,X1) )
    <=> ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0))
        | ( zero_zero_nat = X1 ) ) ),
    inference(rectify,[],[f9979]) ).

tff(f9979,axiom,
    ! [X77: nat,X78: nat] :
      ( ( nil_nat = upt(X77,X78) )
    <=> ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X78),X77))
        | ( zero_zero_nat = X78 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9978_upt__eq__Nil__conv) ).

tff(f79394,plain,
    spl3933_249,
    inference(avatar_split_clause,[],[f62861,f79392]) ).

tff(f79392,plain,
    ( spl3933_249
  <=> ! [X1: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_249])]) ).

tff(f62861,plain,
    ! [X1: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X1),X1)),
    inference(equality_resolution,[],[f46933]) ).

tff(f46933,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32383]) ).

tff(f32383,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),X1))
        | ( ( X0 != X1 )
          & pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1))
        | pp(aa_set_nat_bool(ord_less_set_nat(X0),X1)) ) ),
    inference(flattening,[],[f32382]) ).

tff(f32382,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),X1))
        | ( ( X0 != X1 )
          & pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) ) )
      & ( ( X0 = X1 )
        | ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1))
        | pp(aa_set_nat_bool(ord_less_set_nat(X0),X1)) ) ),
    inference(nnf_transformation,[],[f16604]) ).

tff(f16604,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),X1))
    <=> ( ( X0 = X1 )
        | ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X1)) ) ),
    inference(rectify,[],[f1302]) ).

tff(f1302,axiom,
    ! [X12: set_nat,X13: set_nat] :
      ( ~ pp(aa_set_nat_bool(ord_less_set_nat(X12),X13))
    <=> ( ( X12 = X13 )
        | ~ pp(aa_set_nat_bool(ord_less_eq_set_nat(X12),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1301_nless__le) ).

tff(f79390,plain,
    spl3933_248,
    inference(avatar_split_clause,[],[f62657,f79388]) ).

tff(f79388,plain,
    ( spl3933_248
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP78(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_248])]) ).

tff(f62657,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP78(one_one_nat,X1) ),
    inference(equality_resolution,[],[f45073]) ).

tff(f45073,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP78(X0,X1) ),
    inference(cnf_transformation,[],[f31533]) ).

tff(f31533,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( ( one_one_nat != X0 )
          | ( ~ pp(X1)
            & ( one_one_nat = X0 ) ) )
        & ( zero_zero_nat != X0 ) )
      | ~ sP78(X0,X1) ),
    inference(rectify,[],[f31532]) ).

tff(f31532,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP78(X1,X3) ),
    inference(nnf_transformation,[],[f28595]) ).

tff(f28595,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP78(X1,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).

tff(f79386,plain,
    spl3933_247,
    inference(avatar_split_clause,[],[f62654,f79384]) ).

tff(f79384,plain,
    ( spl3933_247
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP73(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_247])]) ).

tff(f62654,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP73(one_one_nat,X1) ),
    inference(equality_resolution,[],[f45058]) ).

tff(f45058,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP73(X0,X1) ),
    inference(cnf_transformation,[],[f31520]) ).

tff(f31520,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( ( one_one_nat != X0 )
          | ( ~ pp(X1)
            & ( one_one_nat = X0 ) ) )
        & ( zero_zero_nat != X0 ) )
      | ~ sP73(X0,X1) ),
    inference(rectify,[],[f31519]) ).

tff(f31519,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP73(X1,X3) ),
    inference(nnf_transformation,[],[f28589]) ).

tff(f28589,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP73(X1,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).

tff(f79382,plain,
    spl3933_246,
    inference(avatar_split_clause,[],[f62649,f79380]) ).

tff(f79380,plain,
    ( spl3933_246
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP62(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_246])]) ).

tff(f62649,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP62(one_one_nat,X1) ),
    inference(equality_resolution,[],[f44994]) ).

tff(f44994,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP62(X0,X1) ),
    inference(cnf_transformation,[],[f31449]) ).

tff(f31449,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( ( one_one_nat != X0 )
          | ( ~ pp(X1)
            & ( one_one_nat = X0 ) ) )
        & ( zero_zero_nat != X0 ) )
      | ~ sP62(X0,X1) ),
    inference(rectify,[],[f31448]) ).

tff(f31448,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP62(X1,X3) ),
    inference(nnf_transformation,[],[f28573]) ).

tff(f28573,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP62(X1,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

tff(f79378,plain,
    spl3933_245,
    inference(avatar_split_clause,[],[f62646,f79376]) ).

tff(f79376,plain,
    ( spl3933_245
  <=> ! [X1: bool] :
        ( ~ pp(X1)
        | ~ sP59(one_one_nat,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_245])]) ).

tff(f62646,plain,
    ! [X1: bool] :
      ( ~ pp(X1)
      | ~ sP59(one_one_nat,X1) ),
    inference(equality_resolution,[],[f44986]) ).

tff(f44986,plain,
    ! [X0: nat,X1: bool] :
      ( ( one_one_nat != X0 )
      | ~ pp(X1)
      | ~ sP59(X0,X1) ),
    inference(cnf_transformation,[],[f31440]) ).

tff(f31440,plain,
    ! [X0: nat,X1: bool] :
      ( ( ( ( one_one_nat != X0 )
          | ( ~ pp(X1)
            & ( one_one_nat = X0 ) ) )
        & ( zero_zero_nat != X0 ) )
      | ~ sP59(X0,X1) ),
    inference(rectify,[],[f31439]) ).

tff(f31439,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP59(X1,X3) ),
    inference(nnf_transformation,[],[f28569]) ).

tff(f28569,plain,
    ! [X1: nat,X3: bool] :
      ( ( ( ( one_one_nat != X1 )
          | ( ~ pp(X3)
            & ( one_one_nat = X1 ) ) )
        & ( zero_zero_nat != X1 ) )
      | ~ sP59(X1,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).

tff(f79374,plain,
    spl3933_244,
    inference(avatar_split_clause,[],[f62580,f79372]) ).

tff(f79372,plain,
    ( spl3933_244
  <=> ! [X1: set_nat] : pp(aa_set_nat_bool(fequal_set_nat(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_244])]) ).

tff(f62580,plain,
    ! [X1: set_nat] : pp(aa_set_nat_bool(fequal_set_nat(X1),X1)),
    inference(equality_resolution,[],[f44189]) ).

tff(f44189,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(fequal_set_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15025]) ).

tff(f15025,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(fequal_set_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10929]) ).

tff(f10929,axiom,
    ! [X18: set_nat,X21: set_nat] :
      ( pp(aa_set_nat_bool(fequal_set_nat(X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Set__Oset_It__Nat__Onat_J_T) ).

tff(f79370,plain,
    spl3933_243,
    inference(avatar_split_clause,[],[f62579,f79368]) ).

tff(f79368,plain,
    ( spl3933_243
  <=> ! [X1: list_nat] : pp(aa_list_nat_bool(fequal_list_nat(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_243])]) ).

tff(f62579,plain,
    ! [X1: list_nat] : pp(aa_list_nat_bool(fequal_list_nat(X1),X1)),
    inference(equality_resolution,[],[f44188]) ).

tff(f44188,plain,
    ! [X0: list_nat,X1: list_nat] :
      ( pp(aa_list_nat_bool(fequal_list_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15024]) ).

tff(f15024,plain,
    ! [X0: list_nat,X1: list_nat] :
      ( pp(aa_list_nat_bool(fequal_list_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10933]) ).

tff(f10933,axiom,
    ! [X18: list_nat,X21: list_nat] :
      ( pp(aa_list_nat_bool(fequal_list_nat(X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__List__Olist_It__Nat__Onat_J_T) ).

tff(f79366,plain,
    spl3933_242,
    inference(avatar_split_clause,[],[f62578,f79364]) ).

tff(f79364,plain,
    ( spl3933_242
  <=> ! [X1: produc3843707927480180839at_nat] : pp(aa_Pro1809015098595223084t_bool(fequal7949547063978738364at_nat(X1),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_242])]) ).

tff(f62578,plain,
    ! [X1: produc3843707927480180839at_nat] : pp(aa_Pro1809015098595223084t_bool(fequal7949547063978738364at_nat(X1),X1)),
    inference(equality_resolution,[],[f44187]) ).

tff(f44187,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(fequal7949547063978738364at_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f15023]) ).

tff(f15023,plain,
    ! [X0: produc3843707927480180839at_nat,X1: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(fequal7949547063978738364at_nat(X0),X1))
      | ( X0 != X1 ) ),
    inference(rectify,[],[f10953]) ).

tff(f10953,axiom,
    ! [X18: produc3843707927480180839at_nat,X21: produc3843707927480180839at_nat] :
      ( pp(aa_Pro1809015098595223084t_bool(fequal7949547063978738364at_nat(X18),X21))
      | ( X18 != X21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_T) ).

tff(f79362,plain,
    spl3933_241,
    inference(avatar_split_clause,[],[f62272,f79359]) ).

tff(f79359,plain,
    ( spl3933_241
  <=> ( zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_241])]) ).

tff(f62272,plain,
    zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,zero_zero_nat),
    inference(equality_resolution,[],[f40791]) ).

tff(f40791,plain,
    ! [X0: nat] :
      ( ( zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,X0) )
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f21595]) ).

tff(f21595,plain,
    ! [X0: nat] :
      ( ( ( aa_nat_complex(semiri8010041392384452111omplex,X0) = produc1917071388513777916omplex(aTP_Lamm_hq,divmod_nat(X0,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) )
        | ( zero_zero_nat = X0 ) )
      & ( ( zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,X0) )
        | ( zero_zero_nat != X0 ) ) ),
    inference(ennf_transformation,[],[f12440]) ).

tff(f12440,plain,
    ! [X0: nat] :
      ( ( ( zero_zero_nat != X0 )
       => ( aa_nat_complex(semiri8010041392384452111omplex,X0) = produc1917071388513777916omplex(aTP_Lamm_hq,divmod_nat(X0,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ) )
      & ( ( zero_zero_nat = X0 )
       => ( zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,X0) ) ) ),
    inference(rectify,[],[f7592]) ).

tff(f7592,axiom,
    ! [X28: nat] :
      ( ( ( zero_zero_nat != X28 )
       => ( aa_nat_complex(semiri8010041392384452111omplex,X28) = produc1917071388513777916omplex(aTP_Lamm_hq,divmod_nat(X28,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ) )
      & ( ( zero_zero_nat = X28 )
       => ( zero_zero_complex = aa_nat_complex(semiri8010041392384452111omplex,X28) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7591_of__nat__code__if) ).

tff(f79357,plain,
    spl3933_240,
    inference(avatar_split_clause,[],[f62271,f79354]) ).

tff(f79354,plain,
    ( spl3933_240
  <=> ( zero_zero_real = aa_int_real(ring_1_of_int_real,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_240])]) ).

tff(f62271,plain,
    zero_zero_real = aa_int_real(ring_1_of_int_real,zero_zero_int),
    inference(equality_resolution,[],[f40788]) ).

tff(f40788,plain,
    ! [X0: int] :
      ( ( zero_zero_real = aa_int_real(ring_1_of_int_real,X0) )
      | ( zero_zero_int != X0 ) ),
    inference(cnf_transformation,[],[f21594]) ).

tff(f21594,plain,
    ! [X0: int] :
      ( ( ( ( ( aa_int_real(ring_1_of_int_real,X0) = aa_real_real(if_real(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_real_real(plus_plus_real(aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_real)) )
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) )
          & ( ( aa_int_real(ring_1_of_int_real,X0) = aa_real_real(uminus_uminus_real,aa_int_real(ring_1_of_int_real,aa_int_int(uminus_uminus_int,X0))) )
            | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) ) )
        | ( zero_zero_int = X0 ) )
      & ( ( zero_zero_real = aa_int_real(ring_1_of_int_real,X0) )
        | ( zero_zero_int != X0 ) ) ),
    inference(ennf_transformation,[],[f12439]) ).

tff(f12439,plain,
    ! [X0: int] :
      ( ( ( zero_zero_int != X0 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_real(ring_1_of_int_real,X0) = aa_real_real(if_real(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_real_real(plus_plus_real(aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_real)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_real(ring_1_of_int_real,X0) = aa_real_real(uminus_uminus_real,aa_int_real(ring_1_of_int_real,aa_int_int(uminus_uminus_int,X0))) ) ) ) )
      & ( ( zero_zero_int = X0 )
       => ( zero_zero_real = aa_int_real(ring_1_of_int_real,X0) ) ) ),
    inference(rectify,[],[f6845]) ).

tff(f6845,axiom,
    ! [X59: int] :
      ( ( ( zero_zero_int != X59 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_real(ring_1_of_int_real,X59) = aa_real_real(if_real(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_real_real(plus_plus_real(aa_real_real(times_times_real(aa_num_real(numeral_numeral_real,aa_num_num(bit0,one))),aa_int_real(ring_1_of_int_real,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_real)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_real(ring_1_of_int_real,X59) = aa_real_real(uminus_uminus_real,aa_int_real(ring_1_of_int_real,aa_int_int(uminus_uminus_int,X59))) ) ) ) )
      & ( ( zero_zero_int = X59 )
       => ( zero_zero_real = aa_int_real(ring_1_of_int_real,X59) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6844_of__int__code__if) ).

tff(f79352,plain,
    spl3933_239,
    inference(avatar_split_clause,[],[f62270,f79349]) ).

tff(f79349,plain,
    ( spl3933_239
  <=> ( zero_zero_rat = aa_int_rat(ring_1_of_int_rat,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_239])]) ).

tff(f62270,plain,
    zero_zero_rat = aa_int_rat(ring_1_of_int_rat,zero_zero_int),
    inference(equality_resolution,[],[f40785]) ).

tff(f40785,plain,
    ! [X0: int] :
      ( ( zero_zero_rat = aa_int_rat(ring_1_of_int_rat,X0) )
      | ( zero_zero_int != X0 ) ),
    inference(cnf_transformation,[],[f21593]) ).

tff(f21593,plain,
    ! [X0: int] :
      ( ( ( ( ( aa_int_rat(ring_1_of_int_rat,X0) = aa_rat_rat(aa_rat_fun_rat_rat(if_rat(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_rat_rat(aa_rat_fun_rat_rat(plus_plus_rat,aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_rat)) )
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) )
          & ( ( aa_int_rat(ring_1_of_int_rat,X0) = aa_rat_rat(uminus_uminus_rat,aa_int_rat(ring_1_of_int_rat,aa_int_int(uminus_uminus_int,X0))) )
            | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) ) )
        | ( zero_zero_int = X0 ) )
      & ( ( zero_zero_rat = aa_int_rat(ring_1_of_int_rat,X0) )
        | ( zero_zero_int != X0 ) ) ),
    inference(ennf_transformation,[],[f12438]) ).

tff(f12438,plain,
    ! [X0: int] :
      ( ( ( zero_zero_int != X0 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_rat(ring_1_of_int_rat,X0) = aa_rat_rat(aa_rat_fun_rat_rat(if_rat(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_rat_rat(aa_rat_fun_rat_rat(plus_plus_rat,aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_rat)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_rat(ring_1_of_int_rat,X0) = aa_rat_rat(uminus_uminus_rat,aa_int_rat(ring_1_of_int_rat,aa_int_int(uminus_uminus_int,X0))) ) ) ) )
      & ( ( zero_zero_int = X0 )
       => ( zero_zero_rat = aa_int_rat(ring_1_of_int_rat,X0) ) ) ),
    inference(rectify,[],[f6848]) ).

tff(f6848,axiom,
    ! [X59: int] :
      ( ( ( zero_zero_int != X59 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_rat(ring_1_of_int_rat,X59) = aa_rat_rat(aa_rat_fun_rat_rat(if_rat(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_rat_rat(aa_rat_fun_rat_rat(plus_plus_rat,aa_rat_rat(aa_rat_fun_rat_rat(times_times_rat,aa_num_rat(numeral_numeral_rat,aa_num_num(bit0,one))),aa_int_rat(ring_1_of_int_rat,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_rat)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_rat(ring_1_of_int_rat,X59) = aa_rat_rat(uminus_uminus_rat,aa_int_rat(ring_1_of_int_rat,aa_int_int(uminus_uminus_int,X59))) ) ) ) )
      & ( ( zero_zero_int = X59 )
       => ( zero_zero_rat = aa_int_rat(ring_1_of_int_rat,X59) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6847_of__int__code__if) ).

tff(f79347,plain,
    spl3933_238,
    inference(avatar_split_clause,[],[f62269,f79344]) ).

tff(f79344,plain,
    ( spl3933_238
  <=> ( zero_zero_int = aa_int_int(ring_1_of_int_int,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_238])]) ).

tff(f62269,plain,
    zero_zero_int = aa_int_int(ring_1_of_int_int,zero_zero_int),
    inference(equality_resolution,[],[f40782]) ).

tff(f40782,plain,
    ! [X0: int] :
      ( ( zero_zero_int = aa_int_int(ring_1_of_int_int,X0) )
      | ( zero_zero_int != X0 ) ),
    inference(cnf_transformation,[],[f21592]) ).

tff(f21592,plain,
    ! [X0: int] :
      ( ( ( ( ( aa_int_int(ring_1_of_int_int,X0) = aa_int_int(aa_int_fun_int_int(if_int(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_int)) )
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) )
          & ( ( aa_int_int(ring_1_of_int_int,X0) = aa_int_int(uminus_uminus_int,aa_int_int(ring_1_of_int_int,aa_int_int(uminus_uminus_int,X0))) )
            | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) ) )
        | ( zero_zero_int = X0 ) )
      & ( ( zero_zero_int = aa_int_int(ring_1_of_int_int,X0) )
        | ( zero_zero_int != X0 ) ) ),
    inference(ennf_transformation,[],[f12437]) ).

tff(f12437,plain,
    ! [X0: int] :
      ( ( ( zero_zero_int != X0 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_int(ring_1_of_int_int,X0) = aa_int_int(aa_int_fun_int_int(if_int(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_int)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_int(ring_1_of_int_int,X0) = aa_int_int(uminus_uminus_int,aa_int_int(ring_1_of_int_int,aa_int_int(uminus_uminus_int,X0))) ) ) ) )
      & ( ( zero_zero_int = X0 )
       => ( zero_zero_int = aa_int_int(ring_1_of_int_int,X0) ) ) ),
    inference(rectify,[],[f6844]) ).

tff(f6844,axiom,
    ! [X59: int] :
      ( ( ( zero_zero_int != X59 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_int(ring_1_of_int_int,X59) = aa_int_int(aa_int_fun_int_int(if_int(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int)),aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_int_int(aa_int_fun_int_int(plus_plus_int,aa_int_int(aa_int_fun_int_int(times_times_int,aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))),aa_int_int(ring_1_of_int_int,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_int)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_int(ring_1_of_int_int,X59) = aa_int_int(uminus_uminus_int,aa_int_int(ring_1_of_int_int,aa_int_int(uminus_uminus_int,X59))) ) ) ) )
      & ( ( zero_zero_int = X59 )
       => ( zero_zero_int = aa_int_int(ring_1_of_int_int,X59) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6843_of__int__code__if) ).

tff(f79342,plain,
    spl3933_237,
    inference(avatar_split_clause,[],[f62268,f79339]) ).

tff(f79339,plain,
    ( spl3933_237
  <=> ( zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_237])]) ).

tff(f62268,plain,
    zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,zero_zero_int),
    inference(equality_resolution,[],[f40779]) ).

tff(f40779,plain,
    ! [X0: int] :
      ( ( zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,X0) )
      | ( zero_zero_int != X0 ) ),
    inference(cnf_transformation,[],[f21591]) ).

tff(f21591,plain,
    ! [X0: int] :
      ( ( ( ( ( aa_int_Code_integer(ring_18347121197199848620nteger,X0) = if_Code_integer(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),plus_p5714425477246183910nteger(aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),one_one_Code_integer)) )
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) )
          & ( ( aa_int_Code_integer(ring_18347121197199848620nteger,X0) = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(uminus_uminus_int,X0))) )
            | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) ) )
        | ( zero_zero_int = X0 ) )
      & ( ( zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,X0) )
        | ( zero_zero_int != X0 ) ) ),
    inference(ennf_transformation,[],[f12436]) ).

tff(f12436,plain,
    ! [X0: int] :
      ( ( ( zero_zero_int != X0 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_Code_integer(ring_18347121197199848620nteger,X0) = if_Code_integer(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),plus_p5714425477246183910nteger(aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),one_one_Code_integer)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_Code_integer(ring_18347121197199848620nteger,X0) = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(uminus_uminus_int,X0))) ) ) ) )
      & ( ( zero_zero_int = X0 )
       => ( zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,X0) ) ) ),
    inference(rectify,[],[f6847]) ).

tff(f6847,axiom,
    ! [X59: int] :
      ( ( ( zero_zero_int != X59 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_Code_integer(ring_18347121197199848620nteger,X59) = if_Code_integer(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),plus_p5714425477246183910nteger(aa_Cod1783974652533396728nteger(aa_Cod4161879620478718930nteger(times_3573771949741848930nteger,aa_num_Code_integer(numera6620942414471956472nteger,aa_num_num(bit0,one))),aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one))))),one_one_Code_integer)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_Code_integer(ring_18347121197199848620nteger,X59) = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,aa_int_Code_integer(ring_18347121197199848620nteger,aa_int_int(uminus_uminus_int,X59))) ) ) ) )
      & ( ( zero_zero_int = X59 )
       => ( zero_z3403309356797280102nteger = aa_int_Code_integer(ring_18347121197199848620nteger,X59) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6846_of__int__code__if) ).

tff(f79337,plain,
    spl3933_236,
    inference(avatar_split_clause,[],[f62267,f79334]) ).

tff(f79334,plain,
    ( spl3933_236
  <=> ( zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_236])]) ).

tff(f62267,plain,
    zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,zero_zero_int),
    inference(equality_resolution,[],[f40776]) ).

tff(f40776,plain,
    ! [X0: int] :
      ( ( zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,X0) )
      | ( zero_zero_int != X0 ) ),
    inference(cnf_transformation,[],[f21590]) ).

tff(f21590,plain,
    ! [X0: int] :
      ( ( ( ( ( aa_int_complex(ring_17405671764205052669omplex,X0) = aa_complex_complex(if_complex(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_complex_complex(plus_plus_complex(aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_complex)) )
            | pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) )
          & ( ( aa_int_complex(ring_17405671764205052669omplex,X0) = aa_complex_complex(uminus1482373934393186551omplex,aa_int_complex(ring_17405671764205052669omplex,aa_int_int(uminus_uminus_int,X0))) )
            | ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int)) ) )
        | ( zero_zero_int = X0 ) )
      & ( ( zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,X0) )
        | ( zero_zero_int != X0 ) ) ),
    inference(ennf_transformation,[],[f12435]) ).

tff(f12435,plain,
    ! [X0: int] :
      ( ( ( zero_zero_int != X0 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_complex(ring_17405671764205052669omplex,X0) = aa_complex_complex(if_complex(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_complex_complex(plus_plus_complex(aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X0),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_complex)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X0),zero_zero_int))
           => ( aa_int_complex(ring_17405671764205052669omplex,X0) = aa_complex_complex(uminus1482373934393186551omplex,aa_int_complex(ring_17405671764205052669omplex,aa_int_int(uminus_uminus_int,X0))) ) ) ) )
      & ( ( zero_zero_int = X0 )
       => ( zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,X0) ) ) ),
    inference(rectify,[],[f6846]) ).

tff(f6846,axiom,
    ! [X59: int] :
      ( ( ( zero_zero_int != X59 )
       => ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_complex(ring_17405671764205052669omplex,X59) = aa_complex_complex(if_complex(aa_int_bool(aa_int_fun_int_bool(fequal_int,aa_int_int(aa_int_fun_int_int(modulo_modulo_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))),zero_zero_int),aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),aa_complex_complex(plus_plus_complex(aa_complex_complex(times_times_complex(numera6690914467698888265omplex(aa_num_num(bit0,one))),aa_int_complex(ring_17405671764205052669omplex,aa_int_int(aa_int_fun_int_int(divide_divide_int,X59),aa_num_int(numeral_numeral_int,aa_num_num(bit0,one)))))),one_one_complex)) ) )
          & ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,X59),zero_zero_int))
           => ( aa_int_complex(ring_17405671764205052669omplex,X59) = aa_complex_complex(uminus1482373934393186551omplex,aa_int_complex(ring_17405671764205052669omplex,aa_int_int(uminus_uminus_int,X59))) ) ) ) )
      & ( ( zero_zero_int = X59 )
       => ( zero_zero_complex = aa_int_complex(ring_17405671764205052669omplex,X59) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6845_of__int__code__if) ).

tff(f79332,plain,
    spl3933_235,
    inference(avatar_split_clause,[],[f58462,f79330]) ).

tff(f79330,plain,
    ( spl3933_235
  <=> ! [X0: nat] : ( aa_nat_nat(id_nat,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_235])]) ).

tff(f58462,plain,
    ! [X0: nat] : ( aa_nat_nat(id_nat,X0) = X0 ),
    inference(definition_unfolding,[],[f39428,f38909]) ).

tff(f38909,plain,
    semiri1316708129612266289at_nat = id_nat,
    inference(cnf_transformation,[],[f10205]) ).

tff(f10205,axiom,
    semiri1316708129612266289at_nat = id_nat,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10204_of__nat__eq__id) ).

tff(f39428,plain,
    ! [X0: nat] : ( aa_nat_nat(semiri1316708129612266289at_nat,X0) = X0 ),
    inference(cnf_transformation,[],[f11096]) ).

tff(f11096,plain,
    ! [X0: nat] : ( aa_nat_nat(semiri1316708129612266289at_nat,X0) = X0 ),
    inference(rectify,[],[f9436]) ).

tff(f9436,axiom,
    ! [X28: nat] : ( aa_nat_nat(semiri1316708129612266289at_nat,X28) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9435_of__nat__id) ).

tff(f79328,plain,
    spl3933_234,
    inference(avatar_split_clause,[],[f58427,f79326]) ).

tff(f58427,plain,
    ! [X0: num] : ( zero_zero_int != aa_num_int(code_Target_positive,X0) ),
    inference(definition_unfolding,[],[f39321,f38912]) ).

tff(f39321,plain,
    ! [X0: num] : ( zero_zero_int != aa_num_int(numeral_numeral_int,X0) ),
    inference(cnf_transformation,[],[f10989]) ).

tff(f10989,plain,
    ! [X0: num] : ( zero_zero_int != aa_num_int(numeral_numeral_int,X0) ),
    inference(rectify,[],[f3091]) ).

tff(f3091,axiom,
    ! [X28: num] : ( aa_num_int(numeral_numeral_int,X28) != zero_zero_int ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3090_zero__neq__numeral) ).

tff(f79324,plain,
    spl3933_233,
    inference(avatar_split_clause,[],[f58358,f79321]) ).

tff(f79321,plain,
    ( spl3933_233
  <=> pp(aa_nat_bool(vEBT_invar_vebt(summary),m)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_233])]) ).

tff(f58358,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
    inference(definition_unfolding,[],[f38996,f38904]) ).

tff(f38904,plain,
    summary2 = summary,
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    summary2 = summary,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062) ).

tff(f38996,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(summary2),m)),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,axiom,
    pp(aa_nat_bool(vEBT_invar_vebt(summary2),m)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_case4_I3_J) ).

tff(f79319,plain,
    spl3933_232,
    inference(avatar_split_clause,[],[f58354,f79316]) ).

tff(f58354,plain,
    one_one_int = aa_num_int(code_Target_positive,one),
    inference(definition_unfolding,[],[f38968,f38912]) ).

tff(f38968,plain,
    one_one_int = aa_num_int(numeral_numeral_int,one),
    inference(cnf_transformation,[],[f1404]) ).

tff(f1404,axiom,
    one_one_int = aa_num_int(numeral_numeral_int,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1403_numeral__One) ).

tff(f79314,plain,
    spl3933_231,
    inference(avatar_split_clause,[],[f58352,f79311]) ).

tff(f79311,plain,
    ( spl3933_231
  <=> ( code_Target_negative = comp_int_int_num(uminus_uminus_int,code_Target_positive) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_231])]) ).

tff(f58352,plain,
    code_Target_negative = comp_int_int_num(uminus_uminus_int,code_Target_positive),
    inference(definition_unfolding,[],[f38944,f38912]) ).

tff(f38944,plain,
    code_Target_negative = comp_int_int_num(uminus_uminus_int,numeral_numeral_int),
    inference(cnf_transformation,[],[f9713]) ).

tff(f9713,axiom,
    code_Target_negative = comp_int_int_num(uminus_uminus_int,numeral_numeral_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9712_Code__Target__Int_Onegative__def) ).

tff(f79309,plain,
    spl3933_230,
    inference(avatar_split_clause,[],[f58338,f79306]) ).

tff(f79306,plain,
    ( spl3933_230
  <=> ( zero_zero_real = aa_real_real(cos_real,sK3932) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_230])]) ).

tff(f58338,plain,
    zero_zero_real = aa_real_real(cos_real,sK3932),
    inference(cnf_transformation,[],[f38898]) ).

tff(f79304,plain,
    spl3933_229,
    inference(avatar_split_clause,[],[f53302,f79302]) ).

tff(f79302,plain,
    ( spl3933_229
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP419(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_229])]) ).

tff(f53302,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP419(X0,X1) ),
    inference(cnf_transformation,[],[f35636]) ).

tff(f35636,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK2999(X1),sK3000(X1),sK3001(X1)) = X1 ) )
      | ~ sP419(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2999,sK3000,sK3001])],[f35634,f35635]) ).

tff(f35635,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 )
     => ( vEBT_Node(none_P5556105721700978146at_nat,sK2999(X1),sK3000(X1),sK3001(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f35634,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP419(X0,X1) ),
    inference(rectify,[],[f35633]) ).

tff(f35633,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X5: nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7) = X0 ) )
      | ~ sP419(X2,X0) ),
    inference(nnf_transformation,[],[f29092]) ).

tff(f29092,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X5: nat,X6: list_VEBT_VEBT,X7: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,X5,X6,X7) = X0 ) )
      | ~ sP419(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP419])]) ).

tff(f79300,plain,
    spl3933_228,
    inference(avatar_split_clause,[],[f53300,f79298]) ).

tff(f79298,plain,
    ( spl3933_228
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP420(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_228])]) ).

tff(f53300,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP420(X0,X1) ),
    inference(cnf_transformation,[],[f35632]) ).

tff(f35632,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK2996(X1)),zero_zero_nat,sK2997(X1),sK2998(X1)) = X1 ) )
      | ~ sP420(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2996,sK2997,sK2998])],[f35630,f35631]) ).

tff(f35631,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: product_prod_nat_nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(some_P7363390416028606310at_nat(X2),zero_zero_nat,X3,X4) = X1 )
     => ( vEBT_Node(some_P7363390416028606310at_nat(sK2996(X1)),zero_zero_nat,sK2997(X1),sK2998(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f35630,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: product_prod_nat_nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] : ( vEBT_Node(some_P7363390416028606310at_nat(X2),zero_zero_nat,X3,X4) = X1 ) )
      | ~ sP420(X0,X1) ),
    inference(rectify,[],[f35629]) ).

tff(f35629,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X8: product_prod_nat_nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] : ( vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10) = X0 ) )
      | ~ sP420(X2,X0) ),
    inference(nnf_transformation,[],[f29093]) ).

tff(f29093,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X8: product_prod_nat_nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] : ( vEBT_Node(some_P7363390416028606310at_nat(X8),zero_zero_nat,X9,X10) = X0 ) )
      | ~ sP420(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP420])]) ).

tff(f79296,plain,
    spl3933_227,
    inference(avatar_split_clause,[],[f53238,f79294]) ).

tff(f79294,plain,
    ( spl3933_227
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP402(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_227])]) ).

tff(f53238,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP402(X0,X1) ),
    inference(cnf_transformation,[],[f35573]) ).

tff(f35573,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Leaf(sK2966(X1),sK2967(X1)) = X1 ) )
      | ~ sP402(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2966,sK2967])],[f35571,f35572]) ).

tff(f35572,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: bool,X3: bool] : ( vEBT_Leaf(X2,X3) = X1 )
     => ( vEBT_Leaf(sK2966(X1),sK2967(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f35571,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: bool,X3: bool] : ( vEBT_Leaf(X2,X3) = X1 ) )
      | ~ sP402(X0,X1) ),
    inference(rectify,[],[f35570]) ).

tff(f35570,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP402(X2,X0) ),
    inference(nnf_transformation,[],[f29073]) ).

tff(f29073,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X3: bool,X4: bool] : ( vEBT_Leaf(X3,X4) = X0 ) )
      | ~ sP402(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP402])]) ).

tff(f79292,plain,
    spl3933_226,
    inference(avatar_split_clause,[],[f53236,f79290]) ).

tff(f79290,plain,
    ( spl3933_226
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP403(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_226])]) ).

tff(f53236,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP403(X0,X1) ),
    inference(cnf_transformation,[],[f35569]) ).

tff(f35569,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2964(X1),sK2965(X1)) = X1 ) )
      | ~ sP403(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2964,sK2965])],[f35567,f35568]) ).

tff(f35568,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: list_VEBT_VEBT,X3: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X2,X3) = X1 )
     => ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,sK2964(X1),sK2965(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f35567,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: list_VEBT_VEBT,X3: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X2,X3) = X1 ) )
      | ~ sP403(X0,X1) ),
    inference(rectify,[],[f35566]) ).

tff(f35566,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X5: list_VEBT_VEBT,X6: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6) = X0 ) )
      | ~ sP403(X2,X0) ),
    inference(nnf_transformation,[],[f29074]) ).

tff(f29074,plain,
    ! [X2: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X2)
        & ? [X5: list_VEBT_VEBT,X6: vEBT_VEBT] : ( vEBT_Node(none_P5556105721700978146at_nat,zero_zero_nat,X5,X6) = X0 ) )
      | ~ sP403(X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP403])]) ).

tff(f79288,plain,
    spl3933_225,
    inference(avatar_split_clause,[],[f46486,f79286]) ).

tff(f79286,plain,
    ( spl3933_225
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( pp(X0)
        | ~ sP115(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_225])]) ).

tff(f46486,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( pp(X0)
      | ~ sP115(X0,X1) ),
    inference(cnf_transformation,[],[f31919]) ).

tff(f31919,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(X0)
        & ( vEBT_Leaf(fFalse,fFalse) = X1 ) )
      | ~ sP115(X0,X1) ),
    inference(rectify,[],[f31918]) ).

tff(f31918,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( pp(X1)
        & ( vEBT_Leaf(fFalse,fFalse) = X0 ) )
      | ~ sP115(X1,X0) ),
    inference(nnf_transformation,[],[f28649]) ).

tff(f28649,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( pp(X1)
        & ( vEBT_Leaf(fFalse,fFalse) = X0 ) )
      | ~ sP115(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).

tff(f79284,plain,
    spl3933_224,
    inference(avatar_split_clause,[],[f46484,f79282]) ).

tff(f79282,plain,
    ( spl3933_224
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP116(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_224])]) ).

tff(f46484,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP116(X0,X1) ),
    inference(cnf_transformation,[],[f31917]) ).

tff(f31917,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Leaf(fTrue,sK1916(X1)) = X1 ) )
      | ~ sP116(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1916])],[f31915,f31916]) ).

tff(f31916,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: bool] : ( vEBT_Leaf(fTrue,X2) = X1 )
     => ( vEBT_Leaf(fTrue,sK1916(X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f31915,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: bool] : ( vEBT_Leaf(fTrue,X2) = X1 ) )
      | ~ sP116(X0,X1) ),
    inference(rectify,[],[f31914]) ).

tff(f31914,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X1)
        & ? [X2: bool] : ( vEBT_Leaf(fTrue,X2) = X0 ) )
      | ~ sP116(X1,X0) ),
    inference(nnf_transformation,[],[f28650]) ).

tff(f28650,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X1)
        & ? [X2: bool] : ( vEBT_Leaf(fTrue,X2) = X0 ) )
      | ~ sP116(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).

tff(f79280,plain,
    spl3933_223,
    inference(avatar_split_clause,[],[f46482,f79278]) ).

tff(f79278,plain,
    ( spl3933_223
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP117(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_223])]) ).

tff(f46482,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP117(X0,X1) ),
    inference(cnf_transformation,[],[f31913]) ).

tff(f31913,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ( vEBT_Leaf(sK1915(X1),fTrue) = X1 ) )
      | ~ sP117(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1915])],[f31911,f31912]) ).

tff(f31912,plain,
    ! [X1: vEBT_VEBT] :
      ( ? [X2: bool] : ( vEBT_Leaf(X2,fTrue) = X1 )
     => ( vEBT_Leaf(sK1915(X1),fTrue) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f31911,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( ~ pp(X0)
        & ? [X2: bool] : ( vEBT_Leaf(X2,fTrue) = X1 ) )
      | ~ sP117(X0,X1) ),
    inference(rectify,[],[f31910]) ).

tff(f31910,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X1)
        & ? [X3: bool] : ( vEBT_Leaf(X3,fTrue) = X0 ) )
      | ~ sP117(X1,X0) ),
    inference(nnf_transformation,[],[f28651]) ).

tff(f28651,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( ~ pp(X1)
        & ? [X3: bool] : ( vEBT_Leaf(X3,fTrue) = X0 ) )
      | ~ sP117(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).

tff(f79276,plain,
    spl3933_222,
    inference(avatar_split_clause,[],[f46477,f79274]) ).

tff(f79274,plain,
    ( spl3933_222
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( pp(X0)
        | ~ sP109(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_222])]) ).

tff(f46477,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( pp(X0)
      | ~ sP109(X0,X1) ),
    inference(cnf_transformation,[],[f31908]) ).

tff(f31908,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fFalse,fFalse)))
        & pp(X0)
        & ( vEBT_Leaf(fFalse,fFalse) = X1 ) )
      | ~ sP109(X0,X1) ),
    inference(rectify,[],[f31907]) ).

tff(f31907,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fFalse,fFalse)))
        & pp(X1)
        & ( vEBT_Leaf(fFalse,fFalse) = X0 ) )
      | ~ sP109(X1,X0) ),
    inference(nnf_transformation,[],[f28642]) ).

tff(f28642,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fFalse,fFalse)))
        & pp(X1)
        & ( vEBT_Leaf(fFalse,fFalse) = X0 ) )
      | ~ sP109(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).

tff(f79272,plain,
    spl3933_221,
    inference(avatar_split_clause,[],[f46474,f79270]) ).

tff(f79270,plain,
    ( spl3933_221
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP110(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_221])]) ).

tff(f46474,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP110(X0,X1) ),
    inference(cnf_transformation,[],[f31906]) ).

tff(f31906,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,sK1914(X0,X1))))
        & ~ pp(X0)
        & ( vEBT_Leaf(fTrue,sK1914(X0,X1)) = X1 ) )
      | ~ sP110(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1914])],[f31904,f31905]) ).

tff(f31905,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,X2)))
          & ~ pp(X0)
          & ( vEBT_Leaf(fTrue,X2) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,sK1914(X0,X1))))
        & ~ pp(X0)
        & ( vEBT_Leaf(fTrue,sK1914(X0,X1)) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f31904,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,X2)))
          & ~ pp(X0)
          & ( vEBT_Leaf(fTrue,X2) = X1 ) )
      | ~ sP110(X0,X1) ),
    inference(rectify,[],[f31903]) ).

tff(f31903,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,X2)))
          & ~ pp(X1)
          & ( vEBT_Leaf(fTrue,X2) = X0 ) )
      | ~ sP110(X1,X0) ),
    inference(nnf_transformation,[],[f28643]) ).

tff(f28643,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(fTrue,X2)))
          & ~ pp(X1)
          & ( vEBT_Leaf(fTrue,X2) = X0 ) )
      | ~ sP110(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).

tff(f79268,plain,
    spl3933_220,
    inference(avatar_split_clause,[],[f46471,f79266]) ).

tff(f79266,plain,
    ( spl3933_220
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP111(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_220])]) ).

tff(f46471,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP111(X0,X1) ),
    inference(cnf_transformation,[],[f31902]) ).

tff(f31902,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(sK1913(X0,X1),fTrue)))
        & ~ pp(X0)
        & ( vEBT_Leaf(sK1913(X0,X1),fTrue) = X1 ) )
      | ~ sP111(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1913])],[f31900,f31901]) ).

tff(f31901,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(X2,fTrue)))
          & ~ pp(X0)
          & ( vEBT_Leaf(X2,fTrue) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(sK1913(X0,X1),fTrue)))
        & ~ pp(X0)
        & ( vEBT_Leaf(sK1913(X0,X1),fTrue) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f31900,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(X2,fTrue)))
          & ~ pp(X0)
          & ( vEBT_Leaf(X2,fTrue) = X1 ) )
      | ~ sP111(X0,X1) ),
    inference(rectify,[],[f31899]) ).

tff(f31899,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(X3,fTrue)))
          & ~ pp(X1)
          & ( vEBT_Leaf(X3,fTrue) = X0 ) )
      | ~ sP111(X1,X0) ),
    inference(nnf_transformation,[],[f28644]) ).

tff(f28644,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X3: bool] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Leaf(X3,fTrue)))
          & ~ pp(X1)
          & ( vEBT_Leaf(X3,fTrue) = X0 ) )
      | ~ sP111(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).

tff(f79264,plain,
    spl3933_219,
    inference(avatar_split_clause,[],[f46468,f79262]) ).

tff(f79262,plain,
    ( spl3933_219
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( pp(X0)
        | ~ sP112(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_219])]) ).

tff(f46468,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( pp(X0)
      | ~ sP112(X0,X1) ),
    inference(cnf_transformation,[],[f31898]) ).

tff(f31898,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1910(X0,X1),sK1911(X0,X1),sK1912(X0,X1))))
        & pp(X0)
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1910(X0,X1),sK1911(X0,X1),sK1912(X0,X1)) = X1 ) )
      | ~ sP112(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1910,sK1911,sK1912])],[f31896,f31897]) ).

tff(f31897,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & pp(X0)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,sK1910(X0,X1),sK1911(X0,X1),sK1912(X0,X1))))
        & pp(X0)
        & ( vEBT_Node(none_P5556105721700978146at_nat,sK1910(X0,X1),sK1911(X0,X1),sK1912(X0,X1)) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f31896,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: nat,X3: list_VEBT_VEBT,X4: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4)))
          & pp(X0)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X2,X3,X4) = X1 ) )
      | ~ sP112(X0,X1) ),
    inference(rectify,[],[f31895]) ).

tff(f31895,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP112(X1,X0) ),
    inference(nnf_transformation,[],[f28645]) ).

tff(f28645,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X4: nat,X5: list_VEBT_VEBT,X6: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6)))
          & pp(X1)
          & ( vEBT_Node(none_P5556105721700978146at_nat,X4,X5,X6) = X0 ) )
      | ~ sP112(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).

tff(f79260,plain,
    spl3933_218,
    inference(avatar_split_clause,[],[f46465,f79258]) ).

tff(f79258,plain,
    ( spl3933_218
  <=> ! [X0: bool,X1: vEBT_VEBT] :
        ( ~ pp(X0)
        | ~ sP113(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_218])]) ).

tff(f46465,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ~ pp(X0)
      | ~ sP113(X0,X1) ),
    inference(cnf_transformation,[],[f31894]) ).

tff(f31894,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(sK1906(X0,X1)),sK1907(X0,X1),sK1908(X0,X1),sK1909(X0,X1))))
        & ~ pp(X0)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK1906(X0,X1)),sK1907(X0,X1),sK1908(X0,X1),sK1909(X0,X1)) = X1 ) )
      | ~ sP113(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1906,sK1907,sK1908,sK1909])],[f31892,f31893]) ).

tff(f31893,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: product_prod_nat_nat,X3: nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(X2),X3,X4,X5)))
          & ~ pp(X0)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X2),X3,X4,X5) = X1 ) )
     => ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(sK1906(X0,X1)),sK1907(X0,X1),sK1908(X0,X1),sK1909(X0,X1))))
        & ~ pp(X0)
        & ( vEBT_Node(some_P7363390416028606310at_nat(sK1906(X0,X1)),sK1907(X0,X1),sK1908(X0,X1),sK1909(X0,X1)) = X1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f31892,plain,
    ! [X0: bool,X1: vEBT_VEBT] :
      ( ? [X2: product_prod_nat_nat,X3: nat,X4: list_VEBT_VEBT,X5: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(X2),X3,X4,X5)))
          & ~ pp(X0)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X2),X3,X4,X5) = X1 ) )
      | ~ sP113(X0,X1) ),
    inference(rectify,[],[f31891]) ).

tff(f31891,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X7: product_prod_nat_nat,X8: nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(X7),X8,X9,X10)))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X7),X8,X9,X10) = X0 ) )
      | ~ sP113(X1,X0) ),
    inference(nnf_transformation,[],[f28646]) ).

tff(f28646,plain,
    ! [X1: bool,X0: vEBT_VEBT] :
      ( ? [X7: product_prod_nat_nat,X8: nat,X9: list_VEBT_VEBT,X10: vEBT_VEBT] :
          ( pp(aa_VEBT_VEBT_bool(accp_VEBT_VEBT(vEBT_V6963167321098673237ll_rel),vEBT_Node(some_P7363390416028606310at_nat(X7),X8,X9,X10)))
          & ~ pp(X1)
          & ( vEBT_Node(some_P7363390416028606310at_nat(X7),X8,X9,X10) = X0 ) )
      | ~ sP113(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).

tff(f79256,plain,
    spl3933_217,
    inference(avatar_split_clause,[],[f42341,f79254]) ).

tff(f79254,plain,
    ( spl3933_217
  <=> ! [X0: nat] : ( size_s6755466524823107622T_VEBT(sK1314(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_217])]) ).

tff(f42341,plain,
    ! [X0: nat] : ( size_s6755466524823107622T_VEBT(sK1314(X0)) = X0 ),
    inference(cnf_transformation,[],[f30813]) ).

tff(f30813,plain,
    ! [X0: nat] : ( size_s6755466524823107622T_VEBT(sK1314(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1314])],[f13344,f30812]) ).

tff(f30812,plain,
    ! [X0: nat] :
      ( ? [X1: list_VEBT_VEBT] : ( size_s6755466524823107622T_VEBT(X1) = X0 )
     => ( size_s6755466524823107622T_VEBT(sK1314(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f13344,plain,
    ! [X0: nat] :
    ? [X1: list_VEBT_VEBT] : ( size_s6755466524823107622T_VEBT(X1) = X0 ),
    inference(rectify,[],[f3486]) ).

tff(f3486,axiom,
    ! [X28: nat] :
    ? [X141: list_VEBT_VEBT] : ( size_s6755466524823107622T_VEBT(X141) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3485_Ex__list__of__length) ).

tff(f79252,plain,
    spl3933_216,
    inference(avatar_split_clause,[],[f42340,f79250]) ).

tff(f79250,plain,
    ( spl3933_216
  <=> ! [X0: nat] : ( size_size_list_bool(sK1313(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_216])]) ).

tff(f42340,plain,
    ! [X0: nat] : ( size_size_list_bool(sK1313(X0)) = X0 ),
    inference(cnf_transformation,[],[f30811]) ).

tff(f30811,plain,
    ! [X0: nat] : ( size_size_list_bool(sK1313(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1313])],[f13343,f30810]) ).

tff(f30810,plain,
    ! [X0: nat] :
      ( ? [X1: list_bool] : ( size_size_list_bool(X1) = X0 )
     => ( size_size_list_bool(sK1313(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f13343,plain,
    ! [X0: nat] :
    ? [X1: list_bool] : ( size_size_list_bool(X1) = X0 ),
    inference(rectify,[],[f3487]) ).

tff(f3487,axiom,
    ! [X28: nat] :
    ? [X141: list_bool] : ( size_size_list_bool(X141) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3486_Ex__list__of__length) ).

tff(f79248,plain,
    spl3933_215,
    inference(avatar_split_clause,[],[f42339,f79246]) ).

tff(f79246,plain,
    ( spl3933_215
  <=> ! [X0: nat] : ( size_size_list_nat(sK1312(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_215])]) ).

tff(f42339,plain,
    ! [X0: nat] : ( size_size_list_nat(sK1312(X0)) = X0 ),
    inference(cnf_transformation,[],[f30809]) ).

tff(f30809,plain,
    ! [X0: nat] : ( size_size_list_nat(sK1312(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1312])],[f13342,f30808]) ).

tff(f30808,plain,
    ! [X0: nat] :
      ( ? [X1: list_nat] : ( size_size_list_nat(X1) = X0 )
     => ( size_size_list_nat(sK1312(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f13342,plain,
    ! [X0: nat] :
    ? [X1: list_nat] : ( size_size_list_nat(X1) = X0 ),
    inference(rectify,[],[f3488]) ).

tff(f3488,axiom,
    ! [X28: nat] :
    ? [X141: list_nat] : ( size_size_list_nat(X141) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3487_Ex__list__of__length) ).

tff(f79244,plain,
    spl3933_214,
    inference(avatar_split_clause,[],[f42338,f79242]) ).

tff(f79242,plain,
    ( spl3933_214
  <=> ! [X0: nat] : ( size_size_list_int(sK1311(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_214])]) ).

tff(f42338,plain,
    ! [X0: nat] : ( size_size_list_int(sK1311(X0)) = X0 ),
    inference(cnf_transformation,[],[f30807]) ).

tff(f30807,plain,
    ! [X0: nat] : ( size_size_list_int(sK1311(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1311])],[f13341,f30806]) ).

tff(f30806,plain,
    ! [X0: nat] :
      ( ? [X1: list_int] : ( size_size_list_int(X1) = X0 )
     => ( size_size_list_int(sK1311(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f13341,plain,
    ! [X0: nat] :
    ? [X1: list_int] : ( size_size_list_int(X1) = X0 ),
    inference(rectify,[],[f3489]) ).

tff(f3489,axiom,
    ! [X28: nat] :
    ? [X141: list_int] : ( size_size_list_int(X141) = X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3488_Ex__list__of__length) ).

tff(f79240,plain,
    spl3933_213,
    inference(avatar_split_clause,[],[f41501,f79238]) ).

tff(f79238,plain,
    ( spl3933_213
  <=> ! [X0: fun_nat_real] :
        ( summable_real(aTP_Lamm_il(X0))
        | ~ summable_real(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_213])]) ).

tff(f41501,plain,
    ! [X0: fun_nat_real] :
      ( summable_real(aTP_Lamm_il(X0))
      | ~ summable_real(X0) ),
    inference(cnf_transformation,[],[f30165]) ).

tff(f30165,plain,
    ! [X0: fun_nat_real] :
      ( ( summable_real(aTP_Lamm_il(X0))
        | ~ summable_real(X0) )
      & ( summable_real(X0)
        | ~ summable_real(aTP_Lamm_il(X0)) ) ),
    inference(nnf_transformation,[],[f12926]) ).

tff(f12926,plain,
    ! [X0: fun_nat_real] :
      ( summable_real(aTP_Lamm_il(X0))
    <=> summable_real(X0) ),
    inference(rectify,[],[f7762]) ).

tff(f7762,axiom,
    ! [X61: fun_nat_real] :
      ( summable_real(aTP_Lamm_il(X61))
    <=> summable_real(X61) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7761_summable__Suc__iff) ).

tff(f79236,plain,
    spl3933_212,
    inference(avatar_split_clause,[],[f41500,f79234]) ).

tff(f79234,plain,
    ( spl3933_212
  <=> ! [X0: fun_nat_real] :
        ( summable_real(X0)
        | ~ summable_real(aTP_Lamm_il(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_212])]) ).

tff(f41500,plain,
    ! [X0: fun_nat_real] :
      ( summable_real(X0)
      | ~ summable_real(aTP_Lamm_il(X0)) ),
    inference(cnf_transformation,[],[f30165]) ).

tff(f79232,plain,
    spl3933_211,
    inference(avatar_split_clause,[],[f39443,f79230]) ).

tff(f79230,plain,
    ( spl3933_211
  <=> ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_211])]) ).

tff(f39443,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X0)),
    inference(cnf_transformation,[],[f11111]) ).

tff(f11111,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(X0),X0)),
    inference(rectify,[],[f363]) ).

tff(f363,axiom,
    ! [X12: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_dual__order_Orefl) ).

tff(f79228,plain,
    spl3933_210,
    inference(avatar_split_clause,[],[f39441,f79226]) ).

tff(f79226,plain,
    ( spl3933_210
  <=> ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(bot_bot_set_nat),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_210])]) ).

tff(f39441,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(bot_bot_set_nat),X0)),
    inference(cnf_transformation,[],[f11109]) ).

tff(f11109,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(bot_bot_set_nat),X0)),
    inference(rectify,[],[f111]) ).

tff(f111,axiom,
    ! [X39: set_nat] : pp(aa_set_nat_bool(ord_less_eq_set_nat(bot_bot_set_nat),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_empty__subsetI) ).

tff(f79224,plain,
    spl3933_209,
    inference(avatar_split_clause,[],[f39440,f79222]) ).

tff(f79222,plain,
    ( spl3933_209
  <=> ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_nat(suc),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_209])]) ).

tff(f39440,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_nat(suc),X0)),
    inference(cnf_transformation,[],[f11108]) ).

tff(f11108,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_nat(suc),X0)),
    inference(rectify,[],[f9957]) ).

tff(f9957,axiom,
    ! [X112: set_nat] : pp(aa_set_nat_bool(inj_on_nat_nat(suc),X112)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9956_inj__Suc) ).

tff(f79220,plain,
    spl3933_208,
    inference(avatar_split_clause,[],[f39439,f79218]) ).

tff(f79218,plain,
    ( spl3933_208
  <=> ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on5538052773655684606at_nat(nat_prod_decode),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_208])]) ).

tff(f39439,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on5538052773655684606at_nat(nat_prod_decode),X0)),
    inference(cnf_transformation,[],[f11107]) ).

tff(f11107,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on5538052773655684606at_nat(nat_prod_decode),X0)),
    inference(rectify,[],[f10141]) ).

tff(f10141,axiom,
    ! [X39: set_nat] : pp(aa_set_nat_bool(inj_on5538052773655684606at_nat(nat_prod_decode),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10140_inj__prod__decode) ).

tff(f79216,plain,
    spl3933_207,
    inference(avatar_split_clause,[],[f39438,f79214]) ).

tff(f79214,plain,
    ( spl3933_207
  <=> ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_list_nat(nat_list_decode),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_207])]) ).

tff(f39438,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_list_nat(nat_list_decode),X0)),
    inference(cnf_transformation,[],[f11106]) ).

tff(f11106,plain,
    ! [X0: set_nat] : pp(aa_set_nat_bool(inj_on_nat_list_nat(nat_list_decode),X0)),
    inference(rectify,[],[f10150]) ).

tff(f10150,axiom,
    ! [X39: set_nat] : pp(aa_set_nat_bool(inj_on_nat_list_nat(nat_list_decode),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10149_inj__list__decode) ).

tff(f79212,plain,
    spl3933_206,
    inference(avatar_split_clause,[],[f39437,f79210]) ).

tff(f79210,plain,
    ( spl3933_206
  <=> ! [X0: list_nat] : pp(aa_set_nat_bool(finite_finite_nat,set_nat2(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_206])]) ).

tff(f39437,plain,
    ! [X0: list_nat] : pp(aa_set_nat_bool(finite_finite_nat,set_nat2(X0))),
    inference(cnf_transformation,[],[f11105]) ).

tff(f11105,plain,
    ! [X0: list_nat] : pp(aa_set_nat_bool(finite_finite_nat,set_nat2(X0))),
    inference(rectify,[],[f4678]) ).

tff(f4678,axiom,
    ! [X30: list_nat] : pp(aa_set_nat_bool(finite_finite_nat,set_nat2(X30))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4677_List_Ofinite__set) ).

tff(f79208,plain,
    spl3933_205,
    inference(avatar_split_clause,[],[f39436,f79206]) ).

tff(f79206,plain,
    ( spl3933_205
  <=> ! [X0: list_complex] : pp(aa_set_complex_bool(finite3207457112153483333omplex,set_complex2(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_205])]) ).

tff(f39436,plain,
    ! [X0: list_complex] : pp(aa_set_complex_bool(finite3207457112153483333omplex,set_complex2(X0))),
    inference(cnf_transformation,[],[f11104]) ).

tff(f11104,plain,
    ! [X0: list_complex] : pp(aa_set_complex_bool(finite3207457112153483333omplex,set_complex2(X0))),
    inference(rectify,[],[f4679]) ).

tff(f4679,axiom,
    ! [X30: list_complex] : pp(aa_set_complex_bool(finite3207457112153483333omplex,set_complex2(X30))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4678_List_Ofinite__set) ).

tff(f79204,plain,
    spl3933_204,
    inference(avatar_split_clause,[],[f39434,f79202]) ).

tff(f79202,plain,
    ( spl3933_204
  <=> ! [X0: set_bool] : pp(aa_set_bool_bool(ord_less_eq_set_bool(bot_bot_set_bool),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_204])]) ).

tff(f39434,plain,
    ! [X0: set_bool] : pp(aa_set_bool_bool(ord_less_eq_set_bool(bot_bot_set_bool),X0)),
    inference(cnf_transformation,[],[f11102]) ).

tff(f11102,plain,
    ! [X0: set_bool] : pp(aa_set_bool_bool(ord_less_eq_set_bool(bot_bot_set_bool),X0)),
    inference(rectify,[],[f109]) ).

tff(f109,axiom,
    ! [X39: set_bool] : pp(aa_set_bool_bool(ord_less_eq_set_bool(bot_bot_set_bool),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_empty__subsetI) ).

tff(f79200,plain,
    spl3933_203,
    inference(avatar_split_clause,[],[f39432,f79198]) ).

tff(f79198,plain,
    ( spl3933_203
  <=> ! [X0: set_int] : pp(aa_set_int_bool(ord_less_eq_set_int(bot_bot_set_int),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_203])]) ).

tff(f39432,plain,
    ! [X0: set_int] : pp(aa_set_int_bool(ord_less_eq_set_int(bot_bot_set_int),X0)),
    inference(cnf_transformation,[],[f11100]) ).

tff(f11100,plain,
    ! [X0: set_int] : pp(aa_set_int_bool(ord_less_eq_set_int(bot_bot_set_int),X0)),
    inference(rectify,[],[f110]) ).

tff(f110,axiom,
    ! [X39: set_int] : pp(aa_set_int_bool(ord_less_eq_set_int(bot_bot_set_int),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_empty__subsetI) ).

tff(f79196,plain,
    spl3933_202,
    inference(avatar_split_clause,[],[f39431,f79194]) ).

tff(f79194,plain,
    ( spl3933_202
  <=> ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(inj_on2178005380612969504at_nat(nat_prod_encode),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_202])]) ).

tff(f39431,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(inj_on2178005380612969504at_nat(nat_prod_encode),X0)),
    inference(cnf_transformation,[],[f11099]) ).

tff(f11099,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(inj_on2178005380612969504at_nat(nat_prod_encode),X0)),
    inference(rectify,[],[f10008]) ).

tff(f10008,axiom,
    ! [X39: set_Pr1261947904930325089at_nat] : pp(aa_set3135850010578026034t_bool(inj_on2178005380612969504at_nat(nat_prod_encode),X39)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10007_inj__prod__encode) ).

tff(f79192,plain,
    spl3933_201,
    inference(avatar_split_clause,[],[f39430,f79190]) ).

tff(f79190,plain,
    ( spl3933_201
  <=> ! [X0: list_P6011104703257516679at_nat] : pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,set_Pr5648618587558075414at_nat(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_201])]) ).

tff(f39430,plain,
    ! [X0: list_P6011104703257516679at_nat] : pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,set_Pr5648618587558075414at_nat(X0))),
    inference(cnf_transformation,[],[f11098]) ).

tff(f11098,plain,
    ! [X0: list_P6011104703257516679at_nat] : pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,set_Pr5648618587558075414at_nat(X0))),
    inference(rectify,[],[f4680]) ).

tff(f4680,axiom,
    ! [X30: list_P6011104703257516679at_nat] : pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,set_Pr5648618587558075414at_nat(X30))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4679_List_Ofinite__set) ).

tff(f79188,plain,
    spl3933_200,
    inference(avatar_split_clause,[],[f39429,f79186]) ).

tff(f79186,plain,
    ( spl3933_200
  <=> ! [X0: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(produc8955392012077580105t_bool(aTP_Lamm_hp),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_200])]) ).

tff(f39429,plain,
    ! [X0: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(produc8955392012077580105t_bool(aTP_Lamm_hp),X0)),
    inference(cnf_transformation,[],[f11097]) ).

tff(f11097,plain,
    ! [X0: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(produc8955392012077580105t_bool(aTP_Lamm_hp),X0)),
    inference(rectify,[],[f6603]) ).

tff(f6603,axiom,
    ! [X210: product_prod_nat_nat] : pp(aa_Pro2232559814647311250t_bool(produc8955392012077580105t_bool(aTP_Lamm_hp),X210)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6602_prod_Odisc__eq__case) ).

tff(f79184,plain,
    spl3933_199,
    inference(avatar_split_clause,[],[f39427,f79182]) ).

tff(f79182,plain,
    ( spl3933_199
  <=> ! [X0: nat] : ( aa_nat_nat(aTP_Lamm_mg,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_199])]) ).

tff(f39427,plain,
    ! [X0: nat] : ( aa_nat_nat(aTP_Lamm_mg,X0) = X0 ),
    inference(cnf_transformation,[],[f11095]) ).

tff(f11095,plain,
    ! [X0: nat] : ( aa_nat_nat(aTP_Lamm_mg,X0) = X0 ),
    inference(rectify,[],[f10874]) ).

tff(f10874,axiom,
    ! [X93: nat] : ( aa_nat_nat(aTP_Lamm_mg,X93) = X93 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10873_ATP_Olambda__668) ).

tff(f79180,plain,
    spl3933_198,
    inference(avatar_split_clause,[],[f39426,f79178]) ).

tff(f79178,plain,
    ( spl3933_198
  <=> ! [X0: int] : ( aa_int_int(aTP_Lamm_om,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_198])]) ).

tff(f39426,plain,
    ! [X0: int] : ( aa_int_int(aTP_Lamm_om,X0) = X0 ),
    inference(cnf_transformation,[],[f11094]) ).

tff(f11094,plain,
    ! [X0: int] : ( aa_int_int(aTP_Lamm_om,X0) = X0 ),
    inference(rectify,[],[f10875]) ).

tff(f10875,axiom,
    ! [X93: int] : ( aa_int_int(aTP_Lamm_om,X93) = X93 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10874_ATP_Olambda__669) ).

tff(f79176,plain,
    spl3933_197,
    inference(avatar_split_clause,[],[f39425,f79174]) ).

tff(f79174,plain,
    ( spl3933_197
  <=> ! [X0: complex] : ( aa_complex_complex(aTP_Lamm_nd,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_197])]) ).

tff(f39425,plain,
    ! [X0: complex] : ( aa_complex_complex(aTP_Lamm_nd,X0) = X0 ),
    inference(cnf_transformation,[],[f11093]) ).

tff(f11093,plain,
    ! [X0: complex] : ( aa_complex_complex(aTP_Lamm_nd,X0) = X0 ),
    inference(rectify,[],[f10873]) ).

tff(f10873,axiom,
    ! [X93: complex] : ( aa_complex_complex(aTP_Lamm_nd,X93) = X93 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10872_ATP_Olambda__667) ).

tff(f79172,plain,
    spl3933_196,
    inference(avatar_split_clause,[],[f39408,f79170]) ).

tff(f79170,plain,
    ( spl3933_196
  <=> ! [X0: set_bool] : ( ord_max_set_bool(bot_bot_set_bool,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_196])]) ).

tff(f39408,plain,
    ! [X0: set_bool] : ( ord_max_set_bool(bot_bot_set_bool,X0) = X0 ),
    inference(cnf_transformation,[],[f11076]) ).

tff(f11076,plain,
    ! [X0: set_bool] : ( ord_max_set_bool(bot_bot_set_bool,X0) = X0 ),
    inference(rectify,[],[f2802]) ).

tff(f2802,axiom,
    ! [X18: set_bool] : ( ord_max_set_bool(bot_bot_set_bool,X18) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2801_max__bot) ).

tff(f79168,plain,
    spl3933_195,
    inference(avatar_split_clause,[],[f39407,f79166]) ).

tff(f79166,plain,
    ( spl3933_195
  <=> ! [X0: set_int] : ( ord_max_set_int(bot_bot_set_int,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_195])]) ).

tff(f39407,plain,
    ! [X0: set_int] : ( ord_max_set_int(bot_bot_set_int,X0) = X0 ),
    inference(cnf_transformation,[],[f11075]) ).

tff(f11075,plain,
    ! [X0: set_int] : ( ord_max_set_int(bot_bot_set_int,X0) = X0 ),
    inference(rectify,[],[f2804]) ).

tff(f2804,axiom,
    ! [X18: set_int] : ( ord_max_set_int(bot_bot_set_int,X18) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2803_max__bot) ).

tff(f79164,plain,
    spl3933_194,
    inference(avatar_split_clause,[],[f39406,f79162]) ).

tff(f79162,plain,
    ( spl3933_194
  <=> ! [X0: literal] : ( plus_plus_literal(zero_zero_literal,X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_194])]) ).

tff(f39406,plain,
    ! [X0: literal] : ( plus_plus_literal(zero_zero_literal,X0) = X0 ),
    inference(cnf_transformation,[],[f11074]) ).

tff(f11074,plain,
    ! [X0: literal] : ( plus_plus_literal(zero_zero_literal,X0) = X0 ),
    inference(rectify,[],[f2756]) ).

tff(f2756,axiom,
    ! [X12: literal] : ( plus_plus_literal(zero_zero_literal,X12) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2755_add__0) ).

tff(f79160,plain,
    spl3933_193,
    inference(avatar_split_clause,[],[f39405,f79158]) ).

tff(f79158,plain,
    ( spl3933_193
  <=> ! [X0: set_bool] : ( ord_max_set_bool(X0,bot_bot_set_bool) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_193])]) ).

tff(f39405,plain,
    ! [X0: set_bool] : ( ord_max_set_bool(X0,bot_bot_set_bool) = X0 ),
    inference(cnf_transformation,[],[f11073]) ).

tff(f11073,plain,
    ! [X0: set_bool] : ( ord_max_set_bool(X0,bot_bot_set_bool) = X0 ),
    inference(rectify,[],[f2807]) ).

tff(f2807,axiom,
    ! [X18: set_bool] : ( ord_max_set_bool(X18,bot_bot_set_bool) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2806_max__bot2) ).

tff(f79156,plain,
    spl3933_192,
    inference(avatar_split_clause,[],[f39404,f79154]) ).

tff(f79154,plain,
    ( spl3933_192
  <=> ! [X0: set_int] : ( ord_max_set_int(X0,bot_bot_set_int) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_192])]) ).

tff(f39404,plain,
    ! [X0: set_int] : ( ord_max_set_int(X0,bot_bot_set_int) = X0 ),
    inference(cnf_transformation,[],[f11072]) ).

tff(f11072,plain,
    ! [X0: set_int] : ( ord_max_set_int(X0,bot_bot_set_int) = X0 ),
    inference(rectify,[],[f2809]) ).

tff(f2809,axiom,
    ! [X18: set_int] : ( ord_max_set_int(X18,bot_bot_set_int) = X18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2808_max__bot2) ).

tff(f79152,plain,
    spl3933_191,
    inference(avatar_split_clause,[],[f39403,f79150]) ).

tff(f79150,plain,
    ( spl3933_191
  <=> ! [X0: literal] : ( plus_plus_literal(X0,zero_zero_literal) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_191])]) ).

tff(f39403,plain,
    ! [X0: literal] : ( plus_plus_literal(X0,zero_zero_literal) = X0 ),
    inference(cnf_transformation,[],[f11071]) ).

tff(f11071,plain,
    ! [X0: literal] : ( plus_plus_literal(X0,zero_zero_literal) = X0 ),
    inference(rectify,[],[f2730]) ).

tff(f2730,axiom,
    ! [X12: literal] : ( plus_plus_literal(X12,zero_zero_literal) = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2729_add_Oright__neutral) ).

tff(f79148,plain,
    spl3933_190,
    inference(avatar_split_clause,[],[f39402,f79146]) ).

tff(f79146,plain,
    ( spl3933_190
  <=> ! [X0: nat] : ( the_nat(some_nat(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_190])]) ).

tff(f39402,plain,
    ! [X0: nat] : ( the_nat(some_nat(X0)) = X0 ),
    inference(cnf_transformation,[],[f11070]) ).

tff(f11070,plain,
    ! [X0: nat] : ( the_nat(some_nat(X0)) = X0 ),
    inference(rectify,[],[f2477]) ).

tff(f2477,axiom,
    ! [X8: nat] : ( the_nat(some_nat(X8)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2476_option_Osel) ).

tff(f79144,plain,
    spl3933_189,
    inference(avatar_split_clause,[],[f39401,f79142]) ).

tff(f79142,plain,
    ( spl3933_189
  <=> ! [X0: set_nat] : ( collect_nat(aTP_Lamm_ac(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_189])]) ).

tff(f39401,plain,
    ! [X0: set_nat] : ( collect_nat(aTP_Lamm_ac(X0)) = X0 ),
    inference(cnf_transformation,[],[f11069]) ).

tff(f11069,plain,
    ! [X0: set_nat] : ( collect_nat(aTP_Lamm_ac(X0)) = X0 ),
    inference(rectify,[],[f80]) ).

tff(f80,axiom,
    ! [X39: set_nat] : ( collect_nat(aTP_Lamm_ac(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_Collect__mem__eq) ).

tff(f79140,plain,
    spl3933_188,
    inference(avatar_split_clause,[],[f39400,f79138]) ).

tff(f79138,plain,
    ( spl3933_188
  <=> ! [X0: set_complex] : ( collect_complex(aTP_Lamm_ad(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_188])]) ).

tff(f39400,plain,
    ! [X0: set_complex] : ( collect_complex(aTP_Lamm_ad(X0)) = X0 ),
    inference(cnf_transformation,[],[f11068]) ).

tff(f11068,plain,
    ! [X0: set_complex] : ( collect_complex(aTP_Lamm_ad(X0)) = X0 ),
    inference(rectify,[],[f81]) ).

tff(f81,axiom,
    ! [X39: set_complex] : ( collect_complex(aTP_Lamm_ad(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_Collect__mem__eq) ).

tff(f79136,plain,
    spl3933_187,
    inference(avatar_split_clause,[],[f39399,f79134]) ).

tff(f79134,plain,
    ( spl3933_187
  <=> ! [X0: set_Pr1261947904930325089at_nat] : ( collec3392354462482085612at_nat(aTP_Lamm_ae(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_187])]) ).

tff(f39399,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : ( collec3392354462482085612at_nat(aTP_Lamm_ae(X0)) = X0 ),
    inference(cnf_transformation,[],[f11067]) ).

tff(f11067,plain,
    ! [X0: set_Pr1261947904930325089at_nat] : ( collec3392354462482085612at_nat(aTP_Lamm_ae(X0)) = X0 ),
    inference(rectify,[],[f82]) ).

tff(f82,axiom,
    ! [X39: set_Pr1261947904930325089at_nat] : ( collec3392354462482085612at_nat(aTP_Lamm_ae(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_Collect__mem__eq) ).

tff(f79132,plain,
    spl3933_186,
    inference(avatar_split_clause,[],[f39398,f79130]) ).

tff(f79130,plain,
    ( spl3933_186
  <=> ! [X0: set_list_nat] : ( collect_list_nat(aTP_Lamm_ag(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_186])]) ).

tff(f39398,plain,
    ! [X0: set_list_nat] : ( collect_list_nat(aTP_Lamm_ag(X0)) = X0 ),
    inference(cnf_transformation,[],[f11066]) ).

tff(f11066,plain,
    ! [X0: set_list_nat] : ( collect_list_nat(aTP_Lamm_ag(X0)) = X0 ),
    inference(rectify,[],[f84]) ).

tff(f84,axiom,
    ! [X39: set_list_nat] : ( collect_list_nat(aTP_Lamm_ag(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_Collect__mem__eq) ).

tff(f79128,plain,
    spl3933_185,
    inference(avatar_split_clause,[],[f39397,f79126]) ).

tff(f79126,plain,
    ( spl3933_185
  <=> ! [X0: set_set_nat] : ( collect_set_nat(aTP_Lamm_af(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_185])]) ).

tff(f39397,plain,
    ! [X0: set_set_nat] : ( collect_set_nat(aTP_Lamm_af(X0)) = X0 ),
    inference(cnf_transformation,[],[f11065]) ).

tff(f11065,plain,
    ! [X0: set_set_nat] : ( collect_set_nat(aTP_Lamm_af(X0)) = X0 ),
    inference(rectify,[],[f83]) ).

tff(f83,axiom,
    ! [X39: set_set_nat] : ( collect_set_nat(aTP_Lamm_af(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_Collect__mem__eq) ).

tff(f79124,plain,
    spl3933_184,
    inference(avatar_split_clause,[],[f39396,f79122]) ).

tff(f79122,plain,
    ( spl3933_184
  <=> ! [X0: fun_Pr7757163693017731481t_bool] : ( produc8955392012077580105t_bool(aTP_Lamm_gj(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_184])]) ).

tff(f39396,plain,
    ! [X0: fun_Pr7757163693017731481t_bool] : ( produc8955392012077580105t_bool(aTP_Lamm_gj(X0)) = X0 ),
    inference(cnf_transformation,[],[f11064]) ).

tff(f11064,plain,
    ! [X0: fun_Pr7757163693017731481t_bool] : ( produc8955392012077580105t_bool(aTP_Lamm_gj(X0)) = X0 ),
    inference(rectify,[],[f5901]) ).

tff(f5901,axiom,
    ! [X61: fun_Pr7757163693017731481t_bool] : ( produc8955392012077580105t_bool(aTP_Lamm_gj(X61)) = X61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5900_case__prod__eta) ).

tff(f79120,plain,
    spl3933_183,
    inference(avatar_split_clause,[],[f39395,f79118]) ).

tff(f79118,plain,
    ( spl3933_183
  <=> ! [X0: set_int] : ( collect_int(aTP_Lamm_ab(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_183])]) ).

tff(f39395,plain,
    ! [X0: set_int] : ( collect_int(aTP_Lamm_ab(X0)) = X0 ),
    inference(cnf_transformation,[],[f11063]) ).

tff(f11063,plain,
    ! [X0: set_int] : ( collect_int(aTP_Lamm_ab(X0)) = X0 ),
    inference(rectify,[],[f79]) ).

tff(f79,axiom,
    ! [X39: set_int] : ( collect_int(aTP_Lamm_ab(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Collect__mem__eq) ).

tff(f79116,plain,
    spl3933_182,
    inference(avatar_split_clause,[],[f39394,f79114]) ).

tff(f79114,plain,
    ( spl3933_182
  <=> ! [X0: set_bool] : ( collect_bool(aTP_Lamm_aa(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_182])]) ).

tff(f39394,plain,
    ! [X0: set_bool] : ( collect_bool(aTP_Lamm_aa(X0)) = X0 ),
    inference(cnf_transformation,[],[f11062]) ).

tff(f11062,plain,
    ! [X0: set_bool] : ( collect_bool(aTP_Lamm_aa(X0)) = X0 ),
    inference(rectify,[],[f78]) ).

tff(f78,axiom,
    ! [X39: set_bool] : ( collect_bool(aTP_Lamm_aa(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_Collect__mem__eq) ).

tff(f79112,plain,
    spl3933_181,
    inference(avatar_split_clause,[],[f39393,f79110]) ).

tff(f79110,plain,
    ( spl3933_181
  <=> ! [X0: set_real] : ( collect_real(aTP_Lamm_a(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_181])]) ).

tff(f39393,plain,
    ! [X0: set_real] : ( collect_real(aTP_Lamm_a(X0)) = X0 ),
    inference(cnf_transformation,[],[f11061]) ).

tff(f11061,plain,
    ! [X0: set_real] : ( collect_real(aTP_Lamm_a(X0)) = X0 ),
    inference(rectify,[],[f77]) ).

tff(f77,axiom,
    ! [X39: set_real] : ( collect_real(aTP_Lamm_a(X39)) = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_Collect__mem__eq) ).

tff(f79108,plain,
    spl3933_180,
    inference(avatar_split_clause,[],[f39392,f79106]) ).

tff(f79106,plain,
    ( spl3933_180
  <=> ! [X0: fun_Pr248683899324676269t_bool] : ( produc5023667602222594023t_bool(aTP_Lamm_gm(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_180])]) ).

tff(f39392,plain,
    ! [X0: fun_Pr248683899324676269t_bool] : ( produc5023667602222594023t_bool(aTP_Lamm_gm(X0)) = X0 ),
    inference(cnf_transformation,[],[f11060]) ).

tff(f11060,plain,
    ! [X0: fun_Pr248683899324676269t_bool] : ( produc5023667602222594023t_bool(aTP_Lamm_gm(X0)) = X0 ),
    inference(rectify,[],[f5904]) ).

tff(f5904,axiom,
    ! [X61: fun_Pr248683899324676269t_bool] : ( produc5023667602222594023t_bool(aTP_Lamm_gm(X61)) = X61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5903_case__prod__eta) ).

tff(f79104,plain,
    spl3933_179,
    inference(avatar_split_clause,[],[f39391,f79102]) ).

tff(f79102,plain,
    ( spl3933_179
  <=> ! [X0: fun_Pr2478283820680522243nt_int] : ( produc4245557441103728435nt_int(aTP_Lamm_gn(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_179])]) ).

tff(f39391,plain,
    ! [X0: fun_Pr2478283820680522243nt_int] : ( produc4245557441103728435nt_int(aTP_Lamm_gn(X0)) = X0 ),
    inference(cnf_transformation,[],[f11059]) ).

tff(f11059,plain,
    ! [X0: fun_Pr2478283820680522243nt_int] : ( produc4245557441103728435nt_int(aTP_Lamm_gn(X0)) = X0 ),
    inference(rectify,[],[f5905]) ).

tff(f5905,axiom,
    ! [X61: fun_Pr2478283820680522243nt_int] : ( produc4245557441103728435nt_int(aTP_Lamm_gn(X61)) = X61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5904_case__prod__eta) ).

tff(f79100,plain,
    spl3933_178,
    inference(avatar_split_clause,[],[f39390,f79098]) ).

tff(f79098,plain,
    ( spl3933_178
  <=> ! [X0: fun_Pr2477239776880934807at_nat] : ( produc4528391901023682385at_nat(aTP_Lamm_gl(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_178])]) ).

tff(f39390,plain,
    ! [X0: fun_Pr2477239776880934807at_nat] : ( produc4528391901023682385at_nat(aTP_Lamm_gl(X0)) = X0 ),
    inference(cnf_transformation,[],[f11058]) ).

tff(f11058,plain,
    ! [X0: fun_Pr2477239776880934807at_nat] : ( produc4528391901023682385at_nat(aTP_Lamm_gl(X0)) = X0 ),
    inference(rectify,[],[f5903]) ).

tff(f5903,axiom,
    ! [X61: fun_Pr2477239776880934807at_nat] : ( produc4528391901023682385at_nat(aTP_Lamm_gl(X61)) = X61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5902_case__prod__eta) ).

tff(f79096,plain,
    spl3933_177,
    inference(avatar_split_clause,[],[f39389,f79094]) ).

tff(f79094,plain,
    ( spl3933_177
  <=> ! [X0: fun_Pr2602117396471556196at_nat] : ( produc6842872674320459806at_nat(aTP_Lamm_gk(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_177])]) ).

tff(f39389,plain,
    ! [X0: fun_Pr2602117396471556196at_nat] : ( produc6842872674320459806at_nat(aTP_Lamm_gk(X0)) = X0 ),
    inference(cnf_transformation,[],[f11057]) ).

tff(f11057,plain,
    ! [X0: fun_Pr2602117396471556196at_nat] : ( produc6842872674320459806at_nat(aTP_Lamm_gk(X0)) = X0 ),
    inference(rectify,[],[f5902]) ).

tff(f5902,axiom,
    ! [X61: fun_Pr2602117396471556196at_nat] : ( produc6842872674320459806at_nat(aTP_Lamm_gk(X61)) = X61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5901_case__prod__eta) ).

tff(f79092,plain,
    spl3933_176,
    inference(avatar_split_clause,[],[f39388,f79090]) ).

tff(f79090,plain,
    ( spl3933_176
  <=> ! [X0: product_prod_nat_nat] : ( the_Pr8591224930841456533at_nat(some_P7363390416028606310at_nat(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_176])]) ).

tff(f39388,plain,
    ! [X0: product_prod_nat_nat] : ( the_Pr8591224930841456533at_nat(some_P7363390416028606310at_nat(X0)) = X0 ),
    inference(cnf_transformation,[],[f11056]) ).

tff(f11056,plain,
    ! [X0: product_prod_nat_nat] : ( the_Pr8591224930841456533at_nat(some_P7363390416028606310at_nat(X0)) = X0 ),
    inference(rectify,[],[f2476]) ).

tff(f2476,axiom,
    ! [X8: product_prod_nat_nat] : ( the_Pr8591224930841456533at_nat(some_P7363390416028606310at_nat(X8)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2475_option_Osel) ).

tff(f79088,plain,
    spl3933_175,
    inference(avatar_split_clause,[],[f39387,f79086]) ).

tff(f79086,plain,
    ( spl3933_175
  <=> ! [X0: num] : ( the_num(some_num(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_175])]) ).

tff(f39387,plain,
    ! [X0: num] : ( the_num(some_num(X0)) = X0 ),
    inference(cnf_transformation,[],[f11055]) ).

tff(f11055,plain,
    ! [X0: num] : ( the_num(some_num(X0)) = X0 ),
    inference(rectify,[],[f2478]) ).

tff(f2478,axiom,
    ! [X8: num] : ( the_num(some_num(X8)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2477_option_Osel) ).

tff(f79084,plain,
    spl3933_174,
    inference(avatar_split_clause,[],[f39386,f79082]) ).

tff(f79082,plain,
    ( spl3933_174
  <=> ! [X0: fun_bool_nat] : ( zero_zero_nat = groups5768501273728744877ol_nat(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_174])]) ).

tff(f39386,plain,
    ! [X0: fun_bool_nat] : ( zero_zero_nat = groups5768501273728744877ol_nat(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11054]) ).

tff(f11054,plain,
    ! [X0: fun_bool_nat] : ( zero_zero_nat = groups5768501273728744877ol_nat(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f7681]) ).

tff(f7681,axiom,
    ! [X212: fun_bool_nat] : ( zero_zero_nat = groups5768501273728744877ol_nat(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7680_sum_Oempty) ).

tff(f79080,plain,
    spl3933_173,
    inference(avatar_split_clause,[],[f39385,f79078]) ).

tff(f79078,plain,
    ( spl3933_173
  <=> ! [X0: fun_int_nat] : ( zero_zero_nat = groups4541462559716669496nt_nat(X0,bot_bot_set_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_173])]) ).

tff(f39385,plain,
    ! [X0: fun_int_nat] : ( zero_zero_nat = groups4541462559716669496nt_nat(X0,bot_bot_set_int) ),
    inference(cnf_transformation,[],[f11053]) ).

tff(f11053,plain,
    ! [X0: fun_int_nat] : ( zero_zero_nat = groups4541462559716669496nt_nat(X0,bot_bot_set_int) ),
    inference(rectify,[],[f7687]) ).

tff(f7687,axiom,
    ! [X212: fun_int_nat] : ( zero_zero_nat = groups4541462559716669496nt_nat(X212,bot_bot_set_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7686_sum_Oempty) ).

tff(f79076,plain,
    spl3933_172,
    inference(avatar_split_clause,[],[f39384,f79074]) ).

tff(f79074,plain,
    ( spl3933_172
  <=> ! [X0: fun_bool_real] : ( zero_zero_real = groups502887708668150281l_real(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_172])]) ).

tff(f39384,plain,
    ! [X0: fun_bool_real] : ( zero_zero_real = groups502887708668150281l_real(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11052]) ).

tff(f11052,plain,
    ! [X0: fun_bool_real] : ( zero_zero_real = groups502887708668150281l_real(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f7679]) ).

tff(f7679,axiom,
    ! [X212: fun_bool_real] : ( zero_zero_real = groups502887708668150281l_real(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7678_sum_Oempty) ).

tff(f79072,plain,
    spl3933_171,
    inference(avatar_split_clause,[],[f39383,f79070]) ).

tff(f79070,plain,
    ( spl3933_171
  <=> ! [X0: fun_int_real] : ( zero_zero_real = groups8778361861064173332t_real(X0,bot_bot_set_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_171])]) ).

tff(f39383,plain,
    ! [X0: fun_int_real] : ( zero_zero_real = groups8778361861064173332t_real(X0,bot_bot_set_int) ),
    inference(cnf_transformation,[],[f11051]) ).

tff(f11051,plain,
    ! [X0: fun_int_real] : ( zero_zero_real = groups8778361861064173332t_real(X0,bot_bot_set_int) ),
    inference(rectify,[],[f7685]) ).

tff(f7685,axiom,
    ! [X212: fun_int_real] : ( zero_zero_real = groups8778361861064173332t_real(X212,bot_bot_set_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7684_sum_Oempty) ).

tff(f79068,plain,
    spl3933_170,
    inference(avatar_split_clause,[],[f39382,f79066]) ).

tff(f79066,plain,
    ( spl3933_170
  <=> ! [X0: fun_nat_rat] : ( zero_zero_rat = groups2906978787729119204at_rat(X0,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_170])]) ).

tff(f39382,plain,
    ! [X0: fun_nat_rat] : ( zero_zero_rat = groups2906978787729119204at_rat(X0,bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11050]) ).

tff(f11050,plain,
    ! [X0: fun_nat_rat] : ( zero_zero_rat = groups2906978787729119204at_rat(X0,bot_bot_set_nat) ),
    inference(rectify,[],[f7683]) ).

tff(f7683,axiom,
    ! [X212: fun_nat_rat] : ( zero_zero_rat = groups2906978787729119204at_rat(X212,bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7682_sum_Oempty) ).

tff(f79064,plain,
    spl3933_169,
    inference(avatar_split_clause,[],[f39381,f79062]) ).

tff(f79062,plain,
    ( spl3933_169
  <=> ! [X0: fun_bool_rat] : ( zero_zero_rat = groups5133371213642249141ol_rat(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_169])]) ).

tff(f39381,plain,
    ! [X0: fun_bool_rat] : ( zero_zero_rat = groups5133371213642249141ol_rat(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11049]) ).

tff(f11049,plain,
    ! [X0: fun_bool_rat] : ( zero_zero_rat = groups5133371213642249141ol_rat(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f7680]) ).

tff(f7680,axiom,
    ! [X212: fun_bool_rat] : ( zero_zero_rat = groups5133371213642249141ol_rat(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7679_sum_Oempty) ).

tff(f79060,plain,
    spl3933_168,
    inference(avatar_split_clause,[],[f39380,f79058]) ).

tff(f79058,plain,
    ( spl3933_168
  <=> ! [X0: fun_int_rat] : ( zero_zero_rat = groups3906332499630173760nt_rat(X0,bot_bot_set_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_168])]) ).

tff(f39380,plain,
    ! [X0: fun_int_rat] : ( zero_zero_rat = groups3906332499630173760nt_rat(X0,bot_bot_set_int) ),
    inference(cnf_transformation,[],[f11048]) ).

tff(f11048,plain,
    ! [X0: fun_int_rat] : ( zero_zero_rat = groups3906332499630173760nt_rat(X0,bot_bot_set_int) ),
    inference(rectify,[],[f7686]) ).

tff(f7686,axiom,
    ! [X212: fun_int_rat] : ( zero_zero_rat = groups3906332499630173760nt_rat(X212,bot_bot_set_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7685_sum_Oempty) ).

tff(f79056,plain,
    spl3933_167,
    inference(avatar_split_clause,[],[f39379,f79054]) ).

tff(f79054,plain,
    ( spl3933_167
  <=> ! [X0: fun_nat_int] : ( zero_zero_int = groups3539618377306564664at_int(X0,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_167])]) ).

tff(f39379,plain,
    ! [X0: fun_nat_int] : ( zero_zero_int = groups3539618377306564664at_int(X0,bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11047]) ).

tff(f11047,plain,
    ! [X0: fun_nat_int] : ( zero_zero_int = groups3539618377306564664at_int(X0,bot_bot_set_nat) ),
    inference(rectify,[],[f7684]) ).

tff(f7684,axiom,
    ! [X212: fun_nat_int] : ( zero_zero_int = groups3539618377306564664at_int(X212,bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7683_sum_Oempty) ).

tff(f79052,plain,
    spl3933_166,
    inference(avatar_split_clause,[],[f39378,f79050]) ).

tff(f79050,plain,
    ( spl3933_166
  <=> ! [X0: fun_bool_int] : ( zero_zero_int = groups5766010803219694601ol_int(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_166])]) ).

tff(f39378,plain,
    ! [X0: fun_bool_int] : ( zero_zero_int = groups5766010803219694601ol_int(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11046]) ).

tff(f11046,plain,
    ! [X0: fun_bool_int] : ( zero_zero_int = groups5766010803219694601ol_int(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f7682]) ).

tff(f7682,axiom,
    ! [X212: fun_bool_int] : ( zero_zero_int = groups5766010803219694601ol_int(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7681_sum_Oempty) ).

tff(f79048,plain,
    spl3933_165,
    inference(avatar_split_clause,[],[f39377,f79046]) ).

tff(f79046,plain,
    ( spl3933_165
  <=> ! [X0: fun_nat_real] : ( one_one_real = groups129246275422532515t_real(X0,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_165])]) ).

tff(f39377,plain,
    ! [X0: fun_nat_real] : ( one_one_real = groups129246275422532515t_real(X0,bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11045]) ).

tff(f11045,plain,
    ! [X0: fun_nat_real] : ( one_one_real = groups129246275422532515t_real(X0,bot_bot_set_nat) ),
    inference(rectify,[],[f8921]) ).

tff(f8921,axiom,
    ! [X212: fun_nat_real] : ( one_one_real = groups129246275422532515t_real(X212,bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8920_prod_Oempty) ).

tff(f79044,plain,
    spl3933_164,
    inference(avatar_split_clause,[],[f39376,f79042]) ).

tff(f79042,plain,
    ( spl3933_164
  <=> ! [X0: fun_bool_real] : ( one_one_real = groups2440149372559378398l_real(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_164])]) ).

tff(f39376,plain,
    ! [X0: fun_bool_real] : ( one_one_real = groups2440149372559378398l_real(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11044]) ).

tff(f11044,plain,
    ! [X0: fun_bool_real] : ( one_one_real = groups2440149372559378398l_real(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f8916]) ).

tff(f8916,axiom,
    ! [X212: fun_bool_real] : ( one_one_real = groups2440149372559378398l_real(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8915_prod_Oempty) ).

tff(f79040,plain,
    spl3933_163,
    inference(avatar_split_clause,[],[f39375,f79038]) ).

tff(f79038,plain,
    ( spl3933_163
  <=> ! [X0: fun_int_real] : ( one_one_real = groups2316167850115554303t_real(X0,bot_bot_set_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_163])]) ).

tff(f39375,plain,
    ! [X0: fun_int_real] : ( one_one_real = groups2316167850115554303t_real(X0,bot_bot_set_int) ),
    inference(cnf_transformation,[],[f11043]) ).

tff(f11043,plain,
    ! [X0: fun_int_real] : ( one_one_real = groups2316167850115554303t_real(X0,bot_bot_set_int) ),
    inference(rectify,[],[f8924]) ).

tff(f8924,axiom,
    ! [X212: fun_int_real] : ( one_one_real = groups2316167850115554303t_real(X212,bot_bot_set_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8923_prod_Oempty) ).

tff(f79036,plain,
    spl3933_162,
    inference(avatar_split_clause,[],[f39374,f79034]) ).

tff(f79034,plain,
    ( spl3933_162
  <=> ! [X0: fun_bool_int] : ( one_one_int = groups1892458791187145822ol_int(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_162])]) ).

tff(f39374,plain,
    ! [X0: fun_bool_int] : ( one_one_int = groups1892458791187145822ol_int(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11042]) ).

tff(f11042,plain,
    ! [X0: fun_bool_int] : ( one_one_int = groups1892458791187145822ol_int(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f8919]) ).

tff(f8919,axiom,
    ! [X212: fun_bool_int] : ( one_one_int = groups1892458791187145822ol_int(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8918_prod_Oempty) ).

tff(f79032,plain,
    spl3933_161,
    inference(avatar_split_clause,[],[f39373,f79030]) ).

tff(f79030,plain,
    ( spl3933_161
  <=> ! [X0: fun_bool_nat] : ( one_one_nat = groups1894949261696196098ol_nat(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_161])]) ).

tff(f39373,plain,
    ! [X0: fun_bool_nat] : ( one_one_nat = groups1894949261696196098ol_nat(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11041]) ).

tff(f11041,plain,
    ! [X0: fun_bool_nat] : ( one_one_nat = groups1894949261696196098ol_nat(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f8918]) ).

tff(f8918,axiom,
    ! [X212: fun_bool_nat] : ( one_one_nat = groups1894949261696196098ol_nat(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8917_prod_Oempty) ).

tff(f79028,plain,
    spl3933_160,
    inference(avatar_split_clause,[],[f39372,f79026]) ).

tff(f79026,plain,
    ( spl3933_160
  <=> ! [X0: fun_nat_rat] : ( one_one_rat = groups73079841787564623at_rat(X0,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_160])]) ).

tff(f39372,plain,
    ! [X0: fun_nat_rat] : ( one_one_rat = groups73079841787564623at_rat(X0,bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11040]) ).

tff(f11040,plain,
    ! [X0: fun_nat_rat] : ( one_one_rat = groups73079841787564623at_rat(X0,bot_bot_set_nat) ),
    inference(rectify,[],[f8922]) ).

tff(f8922,axiom,
    ! [X212: fun_nat_rat] : ( one_one_rat = groups73079841787564623at_rat(X212,bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8921_prod_Oempty) ).

tff(f79024,plain,
    spl3933_159,
    inference(avatar_split_clause,[],[f39371,f79022]) ).

tff(f79022,plain,
    ( spl3933_159
  <=> ! [X0: fun_bool_rat] : ( one_one_rat = groups1259819201609700362ol_rat(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_159])]) ).

tff(f39371,plain,
    ! [X0: fun_bool_rat] : ( one_one_rat = groups1259819201609700362ol_rat(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11039]) ).

tff(f11039,plain,
    ! [X0: fun_bool_rat] : ( one_one_rat = groups1259819201609700362ol_rat(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f8917]) ).

tff(f8917,axiom,
    ! [X212: fun_bool_rat] : ( one_one_rat = groups1259819201609700362ol_rat(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8916_prod_Oempty) ).

tff(f79020,plain,
    spl3933_158,
    inference(avatar_split_clause,[],[f39353,f79018]) ).

tff(f79018,plain,
    ( spl3933_158
  <=> ! [X0: fun_bool_complex] : ( one_one_complex = groups4392847887476860640omplex(X0,bot_bot_set_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_158])]) ).

tff(f39353,plain,
    ! [X0: fun_bool_complex] : ( one_one_complex = groups4392847887476860640omplex(X0,bot_bot_set_bool) ),
    inference(cnf_transformation,[],[f11021]) ).

tff(f11021,plain,
    ! [X0: fun_bool_complex] : ( one_one_complex = groups4392847887476860640omplex(X0,bot_bot_set_bool) ),
    inference(rectify,[],[f8915]) ).

tff(f8915,axiom,
    ! [X212: fun_bool_complex] : ( one_one_complex = groups4392847887476860640omplex(X212,bot_bot_set_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8914_prod_Oempty) ).

tff(f79016,plain,
    spl3933_157,
    inference(avatar_split_clause,[],[f39352,f79014]) ).

tff(f79014,plain,
    ( spl3933_157
  <=> ! [X0: fun_nat_complex] : ( one_one_complex = groups6464643781859351333omplex(X0,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_157])]) ).

tff(f39352,plain,
    ! [X0: fun_nat_complex] : ( one_one_complex = groups6464643781859351333omplex(X0,bot_bot_set_nat) ),
    inference(cnf_transformation,[],[f11020]) ).

tff(f11020,plain,
    ! [X0: fun_nat_complex] : ( one_one_complex = groups6464643781859351333omplex(X0,bot_bot_set_nat) ),
    inference(rectify,[],[f8920]) ).

tff(f8920,axiom,
    ! [X212: fun_nat_complex] : ( one_one_complex = groups6464643781859351333omplex(X212,bot_bot_set_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8919_prod_Oempty) ).

tff(f79012,plain,
    spl3933_156,
    inference(avatar_split_clause,[],[f39351,f79010]) ).

tff(f79010,plain,
    ( spl3933_156
  <=> ! [X0: fun_int_complex] : ( one_one_complex = groups7440179247065528705omplex(X0,bot_bot_set_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_156])]) ).

tff(f39351,plain,
    ! [X0: fun_int_complex] : ( one_one_complex = groups7440179247065528705omplex(X0,bot_bot_set_int) ),
    inference(cnf_transformation,[],[f11019]) ).

tff(f11019,plain,
    ! [X0: fun_int_complex] : ( one_one_complex = groups7440179247065528705omplex(X0,bot_bot_set_int) ),
    inference(rectify,[],[f8923]) ).

tff(f8923,axiom,
    ! [X212: fun_int_complex] : ( one_one_complex = groups7440179247065528705omplex(X212,bot_bot_set_int) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8922_prod_Oempty) ).

tff(f79008,plain,
    spl3933_155,
    inference(avatar_split_clause,[],[f39348,f79006]) ).

tff(f79006,plain,
    ( spl3933_155
  <=> ! [X0: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),zero_zero_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_155])]) ).

tff(f39348,plain,
    ! [X0: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),zero_zero_nat)),
    inference(cnf_transformation,[],[f11016]) ).

tff(f11016,plain,
    ! [X0: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),zero_zero_nat)),
    inference(rectify,[],[f2724]) ).

tff(f2724,axiom,
    ! [X29: vEBT_VEBT] : ~ pp(aa_nat_bool(vEBT_invar_vebt(X29),zero_zero_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2723_valid__0__not) ).

tff(f79004,plain,
    spl3933_154,
    inference(avatar_split_clause,[],[f39346,f79002]) ).

tff(f79002,plain,
    ( spl3933_154
  <=> ! [X0: nat] : ~ pp(aa_set_nat_bool(member_nat(X0),bot_bot_set_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_154])]) ).

tff(f39346,plain,
    ! [X0: nat] : ~ pp(aa_set_nat_bool(member_nat(X0),bot_bot_set_nat)),
    inference(cnf_transformation,[],[f11014]) ).

tff(f11014,plain,
    ! [X0: nat] : ~ pp(aa_set_nat_bool(member_nat(X0),bot_bot_set_nat)),
    inference(rectify,[],[f148]) ).

tff(f148,axiom,
    ! [X44: nat] : ~ pp(aa_set_nat_bool(member_nat(X44),bot_bot_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_empty__iff) ).

tff(f79000,plain,
    spl3933_153,
    inference(avatar_split_clause,[],[f39344,f78998]) ).

tff(f78998,plain,
    ( spl3933_153
  <=> ! [X0: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),bot_bot_set_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_153])]) ).

tff(f39344,plain,
    ! [X0: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),bot_bot_set_nat)),
    inference(cnf_transformation,[],[f11012]) ).

tff(f11012,plain,
    ! [X0: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X0),bot_bot_set_nat)),
    inference(rectify,[],[f1357]) ).

tff(f1357,axiom,
    ! [X12: set_nat] : ~ pp(aa_set_nat_bool(ord_less_set_nat(X12),bot_bot_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1356_bot_Oextremum__strict) ).

tff(f78996,plain,
    spl3933_152,
    inference(avatar_split_clause,[],[f39342,f78994]) ).

tff(f78994,plain,
    ( spl3933_152
  <=> ! [X0: complex] : ~ pp(aa_set_complex_bool(member_complex(X0),bot_bot_set_complex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_152])]) ).

tff(f39342,plain,
    ! [X0: complex] : ~ pp(aa_set_complex_bool(member_complex(X0),bot_bot_set_complex)),
    inference(cnf_transformation,[],[f11010]) ).

tff(f11010,plain,
    ! [X0: complex] : ~ pp(aa_set_complex_bool(member_complex(X0),bot_bot_set_complex)),
    inference(rectify,[],[f144]) ).

tff(f144,axiom,
    ! [X44: complex] : ~ pp(aa_set_complex_bool(member_complex(X44),bot_bot_set_complex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_empty__iff) ).

tff(f78992,plain,
    spl3933_151,
    inference(avatar_split_clause,[],[f39340,f78990]) ).

tff(f78990,plain,
    ( spl3933_151
  <=> ! [X0: bool] : ~ pp(aa_set_bool_bool(member_bool(X0),bot_bot_set_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_151])]) ).

tff(f39340,plain,
    ! [X0: bool] : ~ pp(aa_set_bool_bool(member_bool(X0),bot_bot_set_bool)),
    inference(cnf_transformation,[],[f11008]) ).

tff(f11008,plain,
    ! [X0: bool] : ~ pp(aa_set_bool_bool(member_bool(X0),bot_bot_set_bool)),
    inference(rectify,[],[f147]) ).

tff(f147,axiom,
    ! [X44: bool] : ~ pp(aa_set_bool_bool(member_bool(X44),bot_bot_set_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_empty__iff) ).

tff(f78988,plain,
    spl3933_150,
    inference(avatar_split_clause,[],[f39338,f78986]) ).

tff(f78986,plain,
    ( spl3933_150
  <=> ! [X0: set_bool] : ~ pp(aa_set_bool_bool(ord_less_set_bool(X0),bot_bot_set_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_150])]) ).

tff(f39338,plain,
    ! [X0: set_bool] : ~ pp(aa_set_bool_bool(ord_less_set_bool(X0),bot_bot_set_bool)),
    inference(cnf_transformation,[],[f11006]) ).

tff(f11006,plain,
    ! [X0: set_bool] : ~ pp(aa_set_bool_bool(ord_less_set_bool(X0),bot_bot_set_bool)),
    inference(rectify,[],[f1493]) ).

tff(f1493,axiom,
    ! [X39: set_bool] : ~ pp(aa_set_bool_bool(ord_less_set_bool(X39),bot_bot_set_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1492_not__psubset__empty) ).

tff(f78984,plain,
    spl3933_149,
    inference(avatar_split_clause,[],[f39336,f78982]) ).

tff(f78982,plain,
    ( spl3933_149
  <=> ! [X0: int] : ~ pp(aa_set_int_bool(member_int(X0),bot_bot_set_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_149])]) ).

tff(f39336,plain,
    ! [X0: int] : ~ pp(aa_set_int_bool(member_int(X0),bot_bot_set_int)),
    inference(cnf_transformation,[],[f11004]) ).

tff(f11004,plain,
    ! [X0: int] : ~ pp(aa_set_int_bool(member_int(X0),bot_bot_set_int)),
    inference(rectify,[],[f200]) ).

tff(f200,axiom,
    ! [X12: int] : ~ pp(aa_set_int_bool(member_int(X12),bot_bot_set_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_emptyE) ).

tff(f78980,plain,
    spl3933_148,
    inference(avatar_split_clause,[],[f39334,f78978]) ).

tff(f78978,plain,
    ( spl3933_148
  <=> ! [X0: set_int] : ~ pp(aa_set_int_bool(ord_less_set_int(X0),bot_bot_set_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_148])]) ).

tff(f39334,plain,
    ! [X0: set_int] : ~ pp(aa_set_int_bool(ord_less_set_int(X0),bot_bot_set_int)),
    inference(cnf_transformation,[],[f11002]) ).

tff(f11002,plain,
    ! [X0: set_int] : ~ pp(aa_set_int_bool(ord_less_set_int(X0),bot_bot_set_int)),
    inference(rectify,[],[f1358]) ).

tff(f1358,axiom,
    ! [X12: set_int] : ~ pp(aa_set_int_bool(ord_less_set_int(X12),bot_bot_set_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1357_bot_Oextremum__strict) ).

tff(f78976,plain,
    spl3933_147,
    inference(avatar_split_clause,[],[f39332,f78974]) ).

tff(f78974,plain,
    ( spl3933_147
  <=> ! [X0: real] : ~ pp(aa_set_real_bool(member_real(X0),bot_bot_set_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_147])]) ).

tff(f39332,plain,
    ! [X0: real] : ~ pp(aa_set_real_bool(member_real(X0),bot_bot_set_real)),
    inference(cnf_transformation,[],[f11000]) ).

tff(f11000,plain,
    ! [X0: real] : ~ pp(aa_set_real_bool(member_real(X0),bot_bot_set_real)),
    inference(rectify,[],[f196]) ).

tff(f196,axiom,
    ! [X12: real] : ~ pp(aa_set_real_bool(member_real(X12),bot_bot_set_real)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_emptyE) ).

tff(f78972,plain,
    spl3933_146,
    inference(avatar_split_clause,[],[f39330,f78970]) ).

tff(f78970,plain,
    ( spl3933_146
  <=> ! [X0: product_prod_nat_nat] : ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),bot_bo2099793752762293965at_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_146])]) ).

tff(f39330,plain,
    ! [X0: product_prod_nat_nat] : ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),bot_bo2099793752762293965at_nat)),
    inference(cnf_transformation,[],[f10998]) ).

tff(f10998,plain,
    ! [X0: product_prod_nat_nat] : ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X0),bot_bo2099793752762293965at_nat)),
    inference(rectify,[],[f197]) ).

tff(f197,axiom,
    ! [X12: product_prod_nat_nat] : ~ pp(aa_set3135850010578026034t_bool(member8440522571783428010at_nat(X12),bot_bo2099793752762293965at_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_emptyE) ).

tff(f78968,plain,
    spl3933_145,
    inference(avatar_split_clause,[],[f39324,f78966]) ).

tff(f39324,plain,
    ! [X0: nat] : ( zero_zero_nat != aa_nat_nat(suc,X0) ),
    inference(cnf_transformation,[],[f10992]) ).

tff(f10992,plain,
    ! [X0: nat] : ( zero_zero_nat != aa_nat_nat(suc,X0) ),
    inference(rectify,[],[f3124]) ).

tff(f3124,axiom,
    ! [X65: nat] : ( aa_nat_nat(suc,X65) != zero_zero_nat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3123_Zero__not__Suc) ).

tff(f78964,plain,
    spl3933_144,
    inference(avatar_split_clause,[],[f39323,f78962]) ).

tff(f39323,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) != X0 ),
    inference(cnf_transformation,[],[f10991]) ).

tff(f10991,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) != X0 ),
    inference(rectify,[],[f633]) ).

tff(f633,axiom,
    ! [X28: nat] : ( aa_nat_nat(suc,X28) != X28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_632_n__not__Suc__n) ).

tff(f78960,plain,
    spl3933_143,
    inference(avatar_split_clause,[],[f39322,f78958]) ).

tff(f39322,plain,
    ! [X0: num] : ( zero_zero_nat != aa_num_nat(numeral_numeral_nat,X0) ),
    inference(cnf_transformation,[],[f10990]) ).

tff(f10990,plain,
    ! [X0: num] : ( zero_zero_nat != aa_num_nat(numeral_numeral_nat,X0) ),
    inference(rectify,[],[f3090]) ).

tff(f3090,axiom,
    ! [X28: num] : ( aa_num_nat(numeral_numeral_nat,X28) != zero_zero_nat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3089_zero__neq__numeral) ).

tff(f78956,plain,
    spl3933_142,
    inference(avatar_split_clause,[],[f39320,f78954]) ).

tff(f39320,plain,
    ! [X0: num] : ( zero_zero_real != aa_num_real(numeral_numeral_real,X0) ),
    inference(cnf_transformation,[],[f10988]) ).

tff(f10988,plain,
    ! [X0: num] : ( zero_zero_real != aa_num_real(numeral_numeral_real,X0) ),
    inference(rectify,[],[f3088]) ).

tff(f3088,axiom,
    ! [X28: num] : ( aa_num_real(numeral_numeral_real,X28) != zero_zero_real ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3087_zero__neq__numeral) ).

tff(f78952,plain,
    spl3933_141,
    inference(avatar_split_clause,[],[f39319,f78950]) ).

tff(f39319,plain,
    ! [X0: num] : ( zero_zero_rat != aa_num_rat(numeral_numeral_rat,X0) ),
    inference(cnf_transformation,[],[f10987]) ).

tff(f10987,plain,
    ! [X0: num] : ( zero_zero_rat != aa_num_rat(numeral_numeral_rat,X0) ),
    inference(rectify,[],[f3089]) ).

tff(f3089,axiom,
    ! [X28: num] : ( aa_num_rat(numeral_numeral_rat,X28) != zero_zero_rat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3088_zero__neq__numeral) ).

tff(f78948,plain,
    spl3933_140,
    inference(avatar_split_clause,[],[f39316,f78946]) ).

tff(f78946,plain,
    ( spl3933_140
  <=> ! [X0: num] : ( one != aa_num_num(bit0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_140])]) ).

tff(f39316,plain,
    ! [X0: num] : ( one != aa_num_num(bit0,X0) ),
    inference(cnf_transformation,[],[f10984]) ).

tff(f10984,plain,
    ! [X0: num] : ( one != aa_num_num(bit0,X0) ),
    inference(rectify,[],[f4736]) ).

tff(f4736,axiom,
    ! [X8: num] : ( one != aa_num_num(bit0,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4735_verit__eq__simplify_I10_J) ).

tff(f78944,plain,
    spl3933_139,
    inference(avatar_split_clause,[],[f39313,f78942]) ).

tff(f78942,plain,
    ( spl3933_139
  <=> ! [X0: num] : ( one != aa_num_num(bit1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_139])]) ).

tff(f39313,plain,
    ! [X0: num] : ( one != aa_num_num(bit1,X0) ),
    inference(cnf_transformation,[],[f10981]) ).

tff(f10981,plain,
    ! [X0: num] : ( one != aa_num_num(bit1,X0) ),
    inference(rectify,[],[f5441]) ).

tff(f5441,axiom,
    ! [X28: num] : ( one != aa_num_num(bit1,X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5440_semiring__norm_I84_J) ).

tff(f78940,plain,
    spl3933_138,
    inference(avatar_split_clause,[],[f39312,f78938]) ).

tff(f78938,plain,
    ( spl3933_138
  <=> ! [X0: nat] : ( bot_bot_set_nat != aa_nat_set_nat(set_ord_atMost_nat,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_138])]) ).

tff(f39312,plain,
    ! [X0: nat] : ( bot_bot_set_nat != aa_nat_set_nat(set_ord_atMost_nat,X0) ),
    inference(cnf_transformation,[],[f10980]) ).

tff(f10980,plain,
    ! [X0: nat] : ( bot_bot_set_nat != aa_nat_set_nat(set_ord_atMost_nat,X0) ),
    inference(rectify,[],[f8966]) ).

tff(f8966,axiom,
    ! [X58: nat] : ( bot_bot_set_nat != aa_nat_set_nat(set_ord_atMost_nat,X58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8965_not__empty__eq__Iic__eq__empty) ).

tff(f78936,plain,
    spl3933_137,
    inference(avatar_split_clause,[],[f39294,f78933]) ).

tff(f78933,plain,
    ( spl3933_137
  <=> pp(aa_nat_bool(vEBT_invar_vebt(sK688),m)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_137])]) ).

tff(f39294,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(sK688),m)),
    inference(cnf_transformation,[],[f29562]) ).

tff(f29562,plain,
    ( ! [X3: vEBT_VEBT] :
        ( pp(aa_nat_bool(vEBT_invar_vebt(X3),na))
        | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X3),set_VEBT_VEBT2(sK687))) )
    & pp(aa_nat_bool(vEBT_invar_vebt(sK688),m))
    & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(sK687) )
    & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
    & ( sa = vEBT_Node(sK689,deg,sK687,sK688) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK687,sK688,sK689])],[f21587,f29561]) ).

tff(f29561,plain,
    ( ? [X0: list_VEBT_VEBT,X1: vEBT_VEBT,X2: option4927543243414619207at_nat] :
        ( ! [X3: vEBT_VEBT] :
            ( pp(aa_nat_bool(vEBT_invar_vebt(X3),na))
            | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X3),set_VEBT_VEBT2(X0))) )
        & pp(aa_nat_bool(vEBT_invar_vebt(X1),m))
        & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(X0) )
        & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
        & ( sa = vEBT_Node(X2,deg,X0,X1) ) )
   => ( ! [X3: vEBT_VEBT] :
          ( pp(aa_nat_bool(vEBT_invar_vebt(X3),na))
          | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X3),set_VEBT_VEBT2(sK687))) )
      & pp(aa_nat_bool(vEBT_invar_vebt(sK688),m))
      & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(sK687) )
      & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
      & ( sa = vEBT_Node(sK689,deg,sK687,sK688) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f21587,plain,
    ? [X0: list_VEBT_VEBT,X1: vEBT_VEBT,X2: option4927543243414619207at_nat] :
      ( ! [X3: vEBT_VEBT] :
          ( pp(aa_nat_bool(vEBT_invar_vebt(X3),na))
          | ~ pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X3),set_VEBT_VEBT2(X0))) )
      & pp(aa_nat_bool(vEBT_invar_vebt(X1),m))
      & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(X0) )
      & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
      & ( sa = vEBT_Node(X2,deg,X0,X1) ) ),
    inference(ennf_transformation,[],[f10962]) ).

tff(f10962,plain,
    ~ ! [X0: list_VEBT_VEBT,X1: vEBT_VEBT,X2: option4927543243414619207at_nat] :
        ~ ( ! [X3: vEBT_VEBT] :
              ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X3),set_VEBT_VEBT2(X0)))
             => pp(aa_nat_bool(vEBT_invar_vebt(X3),na)) )
          & pp(aa_nat_bool(vEBT_invar_vebt(X1),m))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(X0) )
          & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
          & ( sa = vEBT_Node(X2,deg,X0,X1) ) ),
    inference(rectify,[],[f751]) ).

tff(f751,axiom,
    ~ ! [X90: list_VEBT_VEBT,X91: vEBT_VEBT,X55: option4927543243414619207at_nat] :
        ~ ( ! [X16: vEBT_VEBT] :
              ( pp(aa_set8260762808118238015T_bool(aa_VEB289770264548726718T_bool(member_VEBT_VEBT,X16),set_VEBT_VEBT2(X90)))
             => pp(aa_nat_bool(vEBT_invar_vebt(X16),na)) )
          & pp(aa_nat_bool(vEBT_invar_vebt(X91),m))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),m) = size_s6755466524823107622T_VEBT(X90) )
          & ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
          & ( sa = vEBT_Node(X55,deg,X90,X91) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_750__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062treeList_H_Asummary_H_Ainfo_O_As_A_061_ANode_Ainfo_Adeg_AtreeList_H_Asummary_H_A_092_060and_062_Adeg_A_061_An_A_L_Am_A_092_060and_062_Alength_AtreeList_H_A_061_A2_A_094_Am_A_092_060and_062_Ainvar__vebt_Asummary_H_Am_A_092_060and_062_A_I_092_060forall_062t_092_060in_062set_AtreeList_H_O_Ainvar__vebt_At_An_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).

tff(f78931,plain,
    spl3933_136,
    inference(avatar_split_clause,[],[f38997,f78928]) ).

tff(f78928,plain,
    ( spl3933_136
  <=> filterlim_nat_real(aTP_Lamm_xs,topolo2815343760600316023s_real(zero_zero_real),at_top_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_136])]) ).

tff(f38997,plain,
    filterlim_nat_real(aTP_Lamm_xs,topolo2815343760600316023s_real(zero_zero_real),at_top_nat),
    inference(cnf_transformation,[],[f9849]) ).

tff(f9849,axiom,
    filterlim_nat_real(aTP_Lamm_xs,topolo2815343760600316023s_real(zero_zero_real),at_top_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9848_LIMSEQ__inverse__real__of__nat) ).

tff(f78926,plain,
    spl3933_135,
    inference(avatar_split_clause,[],[f38995,f78923]) ).

tff(f78923,plain,
    ( spl3933_135
  <=> pp(aa_nat_bool(vEBT_invar_vebt(sa),deg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_135])]) ).

tff(f38995,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(sa),deg)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    pp(aa_nat_bool(vEBT_invar_vebt(sa),deg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_case4_I12_J) ).

tff(f78921,plain,
    spl3933_134,
    inference(avatar_split_clause,[],[f38994,f78918]) ).

tff(f78918,plain,
    ( spl3933_134
  <=> pp(aa_real_bool(sums_real(aTP_Lamm_oc),one_one_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_134])]) ).

tff(f38994,plain,
    pp(aa_real_bool(sums_real(aTP_Lamm_oc),one_one_real)),
    inference(cnf_transformation,[],[f8487]) ).

tff(f8487,axiom,
    pp(aa_real_bool(sums_real(aTP_Lamm_oc),one_one_real)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8486_power__half__series) ).

tff(f78916,plain,
    spl3933_133,
    inference(avatar_split_clause,[],[f38991,f78913]) ).

tff(f78913,plain,
    ( spl3933_133
  <=> ( one = aa_num_num(bitM,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_133])]) ).

tff(f38991,plain,
    one = aa_num_num(bitM,one),
    inference(cnf_transformation,[],[f6807]) ).

tff(f6807,axiom,
    one = aa_num_num(bitM,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6806_semiring__norm_I26_J) ).

tff(f78911,plain,
    spl3933_132,
    inference(avatar_split_clause,[],[f38990,f78908]) ).

tff(f78908,plain,
    ( spl3933_132
  <=> ( one = aa_num_num(sqr,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_132])]) ).

tff(f38990,plain,
    one = aa_num_num(sqr,one),
    inference(cnf_transformation,[],[f10046]) ).

tff(f10046,axiom,
    one = aa_num_num(sqr,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10045_sqr_Osimps_I1_J) ).

tff(f78906,plain,
    spl3933_131,
    inference(avatar_split_clause,[],[f38989,f78903]) ).

tff(f78903,plain,
    ( spl3933_131
  <=> ( one = aa_nat_num(num_of_nat,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_131])]) ).

tff(f38989,plain,
    one = aa_nat_num(num_of_nat,zero_zero_nat),
    inference(cnf_transformation,[],[f9717]) ).

tff(f9717,axiom,
    one = aa_nat_num(num_of_nat,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9716_num__of__nat_Osimps_I1_J) ).

tff(f78901,plain,
    spl3933_130,
    inference(avatar_split_clause,[],[f38988,f78898]) ).

tff(f78898,plain,
    ( spl3933_130
  <=> ( suc = aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_130])]) ).

tff(f38988,plain,
    suc = aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),
    inference(cnf_transformation,[],[f1438]) ).

tff(f1438,axiom,
    suc = aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1437_plus__1__eq__Suc) ).

tff(f78896,plain,
    spl3933_129,
    inference(avatar_split_clause,[],[f38986,f78893]) ).

tff(f78893,plain,
    ( spl3933_129
  <=> ( zero_zero_nat = aa_nat_nat(nat_triangle,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_129])]) ).

tff(f38986,plain,
    zero_zero_nat = aa_nat_nat(nat_triangle,zero_zero_nat),
    inference(cnf_transformation,[],[f4490]) ).

tff(f4490,axiom,
    zero_zero_nat = aa_nat_nat(nat_triangle,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4489_triangle__0) ).

tff(f78891,plain,
    spl3933_128,
    inference(avatar_split_clause,[],[f38985,f78888]) ).

tff(f78888,plain,
    ( spl3933_128
  <=> ( zero_zero_nat = aa_num_nat(pred_numeral,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_128])]) ).

tff(f38985,plain,
    zero_zero_nat = aa_num_nat(pred_numeral,one),
    inference(cnf_transformation,[],[f6398]) ).

tff(f6398,axiom,
    zero_zero_nat = aa_num_nat(pred_numeral,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6397_pred__numeral__simps_I1_J) ).

tff(f78886,plain,
    spl3933_127,
    inference(avatar_split_clause,[],[f38984,f78883]) ).

tff(f78883,plain,
    ( spl3933_127
  <=> ( zero_zero_nat = aa_num_nat(size_size_num,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_127])]) ).

tff(f38984,plain,
    zero_zero_nat = aa_num_nat(size_size_num,one),
    inference(cnf_transformation,[],[f3111]) ).

tff(f3111,axiom,
    zero_zero_nat = aa_num_nat(size_size_num,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3110_num_Osize_I4_J) ).

tff(f78881,plain,
    spl3933_126,
    inference(avatar_split_clause,[],[f38983,f78878]) ).

tff(f78878,plain,
    ( spl3933_126
  <=> ( zero_zero_nat = aa_num_nat(size_num,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_126])]) ).

tff(f38983,plain,
    zero_zero_nat = aa_num_nat(size_num,one),
    inference(cnf_transformation,[],[f7021]) ).

tff(f7021,axiom,
    zero_zero_nat = aa_num_nat(size_num,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7020_num_Osize__gen_I1_J) ).

tff(f78876,plain,
    spl3933_125,
    inference(avatar_split_clause,[],[f38982,f78873]) ).

tff(f78873,plain,
    ( spl3933_125
  <=> ( zero_zero_nat = aa_set_nat_nat(nat_set_encode,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_125])]) ).

tff(f38982,plain,
    zero_zero_nat = aa_set_nat_nat(nat_set_encode,bot_bot_set_nat),
    inference(cnf_transformation,[],[f4939]) ).

tff(f4939,axiom,
    zero_zero_nat = aa_set_nat_nat(nat_set_encode,bot_bot_set_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4938_set__encode__empty) ).

tff(f78871,plain,
    spl3933_124,
    inference(avatar_split_clause,[],[f38981,f78868]) ).

tff(f78868,plain,
    ( spl3933_124
  <=> ( zero_zero_nat = aa_set_nat_nat(complete_Sup_Sup_nat,bot_bot_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_124])]) ).

tff(f38981,plain,
    zero_zero_nat = aa_set_nat_nat(complete_Sup_Sup_nat,bot_bot_set_nat),
    inference(cnf_transformation,[],[f9672]) ).

tff(f9672,axiom,
    zero_zero_nat = aa_set_nat_nat(complete_Sup_Sup_nat,bot_bot_set_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9671_Sup__nat__empty) ).

tff(f78866,plain,
    spl3933_123,
    inference(avatar_split_clause,[],[f38980,f78863]) ).

tff(f78863,plain,
    ( spl3933_123
  <=> ( zero_zero_nat = aa_list_nat_nat(nat_list_encode,nil_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_123])]) ).

tff(f38980,plain,
    zero_zero_nat = aa_list_nat_nat(nat_list_encode,nil_nat),
    inference(cnf_transformation,[],[f10017]) ).

tff(f10017,axiom,
    zero_zero_nat = aa_list_nat_nat(nat_list_encode,nil_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10016_list__encode_Osimps_I1_J) ).

tff(f78861,plain,
    spl3933_122,
    inference(avatar_split_clause,[],[f38979,f78858]) ).

tff(f78858,plain,
    ( spl3933_122
  <=> ( zero_zero_real = aa_real_real(uminus_uminus_real,zero_zero_real) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_122])]) ).

tff(f38979,plain,
    zero_zero_real = aa_real_real(uminus_uminus_real,zero_zero_real),
    inference(cnf_transformation,[],[f5388]) ).

tff(f5388,axiom,
    zero_zero_real = aa_real_real(uminus_uminus_real,zero_zero_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5387_add_Oinverse__neutral) ).

tff(f78856,plain,
    spl3933_121,
    inference(avatar_split_clause,[],[f38978,f78853]) ).

tff(f78853,plain,
    ( spl3933_121
  <=> ( zero_zero_real = aa_real_real(abs_abs_real,zero_zero_real) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_121])]) ).

tff(f38978,plain,
    zero_zero_real = aa_real_real(abs_abs_real,zero_zero_real),
    inference(cnf_transformation,[],[f6516]) ).

tff(f6516,axiom,
    zero_zero_real = aa_real_real(abs_abs_real,zero_zero_real),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6515_abs__zero) ).

tff(f78851,plain,
    spl3933_120,
    inference(avatar_split_clause,[],[f38977,f78848]) ).

tff(f78848,plain,
    ( spl3933_120
  <=> ( zero_zero_real = aa_nat_real(semiri5074537144036343181t_real,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_120])]) ).

tff(f38977,plain,
    zero_zero_real = aa_nat_real(semiri5074537144036343181t_real,zero_zero_nat),
    inference(cnf_transformation,[],[f7282]) ).

tff(f7282,axiom,
    zero_zero_real = aa_nat_real(semiri5074537144036343181t_real,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7281_of__nat__0) ).

tff(f78846,plain,
    spl3933_119,
    inference(avatar_split_clause,[],[f38976,f78843]) ).

tff(f78843,plain,
    ( spl3933_119
  <=> ( zero_zero_rat = aa_rat_rat(uminus_uminus_rat,zero_zero_rat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_119])]) ).

tff(f38976,plain,
    zero_zero_rat = aa_rat_rat(uminus_uminus_rat,zero_zero_rat),
    inference(cnf_transformation,[],[f5391]) ).

tff(f5391,axiom,
    zero_zero_rat = aa_rat_rat(uminus_uminus_rat,zero_zero_rat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5390_add_Oinverse__neutral) ).

tff(f78841,plain,
    spl3933_118,
    inference(avatar_split_clause,[],[f38975,f78838]) ).

tff(f78838,plain,
    ( spl3933_118
  <=> ( zero_zero_rat = aa_rat_rat(abs_abs_rat,zero_zero_rat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_118])]) ).

tff(f38975,plain,
    zero_zero_rat = aa_rat_rat(abs_abs_rat,zero_zero_rat),
    inference(cnf_transformation,[],[f6517]) ).

tff(f6517,axiom,
    zero_zero_rat = aa_rat_rat(abs_abs_rat,zero_zero_rat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6516_abs__zero) ).

tff(f78836,plain,
    spl3933_117,
    inference(avatar_split_clause,[],[f38974,f78833]) ).

tff(f78833,plain,
    ( spl3933_117
  <=> ( zero_zero_rat = aa_nat_rat(semiri681578069525770553at_rat,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_117])]) ).

tff(f38974,plain,
    zero_zero_rat = aa_nat_rat(semiri681578069525770553at_rat,zero_zero_nat),
    inference(cnf_transformation,[],[f7281]) ).

tff(f7281,axiom,
    zero_zero_rat = aa_nat_rat(semiri681578069525770553at_rat,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7280_of__nat__0) ).

tff(f78831,plain,
    spl3933_116,
    inference(avatar_split_clause,[],[f38973,f78828]) ).

tff(f78828,plain,
    ( spl3933_116
  <=> ( zero_zero_int = aa_int_int(uminus_uminus_int,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_116])]) ).

tff(f38973,plain,
    zero_zero_int = aa_int_int(uminus_uminus_int,zero_zero_int),
    inference(cnf_transformation,[],[f5387]) ).

tff(f5387,axiom,
    zero_zero_int = aa_int_int(uminus_uminus_int,zero_zero_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5386_add_Oinverse__neutral) ).

tff(f78826,plain,
    spl3933_115,
    inference(avatar_split_clause,[],[f38972,f78823]) ).

tff(f78823,plain,
    ( spl3933_115
  <=> ( zero_zero_int = aa_int_int(abs_abs_int,zero_zero_int) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_115])]) ).

tff(f38972,plain,
    zero_zero_int = aa_int_int(abs_abs_int,zero_zero_int),
    inference(cnf_transformation,[],[f6518]) ).

tff(f6518,axiom,
    zero_zero_int = aa_int_int(abs_abs_int,zero_zero_int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6517_abs__zero) ).

tff(f78821,plain,
    spl3933_114,
    inference(avatar_split_clause,[],[f38971,f78818]) ).

tff(f78818,plain,
    ( spl3933_114
  <=> ( zero_zero_int = aa_nat_int(semiri1314217659103216013at_int,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_114])]) ).

tff(f38971,plain,
    zero_zero_int = aa_nat_int(semiri1314217659103216013at_int,zero_zero_nat),
    inference(cnf_transformation,[],[f7283]) ).

tff(f7283,axiom,
    zero_zero_int = aa_nat_int(semiri1314217659103216013at_int,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7282_of__nat__0) ).

tff(f78816,plain,
    spl3933_113,
    inference(avatar_split_clause,[],[f38970,f78813]) ).

tff(f78813,plain,
    ( spl3933_113
  <=> ( one_one_real = aa_nat_real(semiri5074537144036343181t_real,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_113])]) ).

tff(f38970,plain,
    one_one_real = aa_nat_real(semiri5074537144036343181t_real,one_one_nat),
    inference(cnf_transformation,[],[f7318]) ).

tff(f7318,axiom,
    one_one_real = aa_nat_real(semiri5074537144036343181t_real,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7317_of__nat__1) ).

tff(f78811,plain,
    spl3933_112,
    inference(avatar_split_clause,[],[f38969,f78808]) ).

tff(f78806,plain,
    spl3933_111,
    inference(avatar_split_clause,[],[f38967,f78803]) ).

tff(f78803,plain,
    ( spl3933_111
  <=> ( one_one_int = aa_nat_int(semiri1314217659103216013at_int,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_111])]) ).

tff(f38967,plain,
    one_one_int = aa_nat_int(semiri1314217659103216013at_int,one_one_nat),
    inference(cnf_transformation,[],[f7319]) ).

tff(f7319,axiom,
    one_one_int = aa_nat_int(semiri1314217659103216013at_int,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7318_of__nat__1) ).

tff(f78801,plain,
    spl3933_110,
    inference(avatar_split_clause,[],[f38966,f78798]) ).

tff(f78798,plain,
    ( spl3933_110
  <=> ( one_one_nat = aa_nat_nat(suc,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_110])]) ).

tff(f78796,plain,
    spl3933_109,
    inference(avatar_split_clause,[],[f38963,f78793]) ).

tff(f38963,plain,
    one_one_nat = aa_num_nat(numeral_numeral_nat,one),
    inference(cnf_transformation,[],[f1405]) ).

tff(f1405,axiom,
    one_one_nat = aa_num_nat(numeral_numeral_nat,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1404_numerals_I1_J) ).

tff(f78791,plain,
    spl3933_108,
    inference(avatar_split_clause,[],[f38962,f78788]) ).

tff(f78788,plain,
    ( spl3933_108
  <=> ( one_one_rat = aa_nat_rat(semiri681578069525770553at_rat,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_108])]) ).

tff(f38962,plain,
    one_one_rat = aa_nat_rat(semiri681578069525770553at_rat,one_one_nat),
    inference(cnf_transformation,[],[f7317]) ).

tff(f7317,axiom,
    one_one_rat = aa_nat_rat(semiri681578069525770553at_rat,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7316_of__nat__1) ).

tff(f78786,plain,
    spl3933_107,
    inference(avatar_split_clause,[],[f38961,f78783]) ).

tff(f38961,plain,
    one_one_rat = aa_num_rat(numeral_numeral_rat,one),
    inference(cnf_transformation,[],[f1402]) ).

tff(f1402,axiom,
    one_one_rat = aa_num_rat(numeral_numeral_rat,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1401_numeral__One) ).

tff(f78781,plain,
    spl3933_106,
    inference(avatar_split_clause,[],[f38960,f78778]) ).

tff(f78778,plain,
    ( spl3933_106
  <=> ( bot_bot_set_nat = aa_nat_set_nat(set_ord_lessThan_nat,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_106])]) ).

tff(f38960,plain,
    bot_bot_set_nat = aa_nat_set_nat(set_ord_lessThan_nat,zero_zero_nat),
    inference(cnf_transformation,[],[f8353]) ).

tff(f8353,axiom,
    bot_bot_set_nat = aa_nat_set_nat(set_ord_lessThan_nat,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8352_lessThan__0) ).

tff(f78776,plain,
    spl3933_105,
    inference(avatar_split_clause,[],[f38959,f78773]) ).

tff(f78773,plain,
    ( spl3933_105
  <=> ( bot_bot_set_nat = aa_nat_set_nat(nat_set_decode,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_105])]) ).

tff(f38959,plain,
    bot_bot_set_nat = aa_nat_set_nat(nat_set_decode,zero_zero_nat),
    inference(cnf_transformation,[],[f5008]) ).

tff(f5008,axiom,
    bot_bot_set_nat = aa_nat_set_nat(nat_set_decode,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5007_set__decode__zero) ).

tff(f78771,plain,
    spl3933_104,
    inference(avatar_split_clause,[],[f38958,f78768]) ).

tff(f78768,plain,
    ( spl3933_104
  <=> ( one_one_complex = aa_nat_complex(semiri8010041392384452111omplex,one_one_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_104])]) ).

tff(f38958,plain,
    one_one_complex = aa_nat_complex(semiri8010041392384452111omplex,one_one_nat),
    inference(cnf_transformation,[],[f7316]) ).

tff(f7316,axiom,
    one_one_complex = aa_nat_complex(semiri8010041392384452111omplex,one_one_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7315_of__nat__1) ).

tff(f78766,plain,
    spl3933_103,
    inference(avatar_split_clause,[],[f38957,f78763]) ).

tff(f78763,plain,
    ( spl3933_103
  <=> ( zero_z3403309356797280102nteger = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,zero_z3403309356797280102nteger) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_103])]) ).

tff(f38957,plain,
    zero_z3403309356797280102nteger = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,zero_z3403309356797280102nteger),
    inference(cnf_transformation,[],[f5390]) ).

tff(f5390,axiom,
    zero_z3403309356797280102nteger = aa_Cod1783974652533396728nteger(uminus1351360451143612070nteger,zero_z3403309356797280102nteger),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5389_add_Oinverse__neutral) ).

tff(f78761,plain,
    spl3933_102,
    inference(avatar_split_clause,[],[f38956,f78758]) ).

tff(f78758,plain,
    ( spl3933_102
  <=> ( one_one_Code_integer = aa_num_Code_integer(code_integer_of_num,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_102])]) ).

tff(f38956,plain,
    one_one_Code_integer = aa_num_Code_integer(code_integer_of_num,one),
    inference(cnf_transformation,[],[f9747]) ).

tff(f9747,axiom,
    one_one_Code_integer = aa_num_Code_integer(code_integer_of_num,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9746_integer__of__num__triv_I1_J) ).

tff(f78756,plain,
    spl3933_101,
    inference(avatar_split_clause,[],[f38955,f78753]) ).

tff(f78753,plain,
    ( spl3933_101
  <=> ( zero_zero_complex = aa_complex_complex(uminus1482373934393186551omplex,zero_zero_complex) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_101])]) ).

tff(f38955,plain,
    zero_zero_complex = aa_complex_complex(uminus1482373934393186551omplex,zero_zero_complex),
    inference(cnf_transformation,[],[f5389]) ).

tff(f5389,axiom,
    zero_zero_complex = aa_complex_complex(uminus1482373934393186551omplex,zero_zero_complex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5388_add_Oinverse__neutral) ).

tff(f78751,plain,
    spl3933_100,
    inference(avatar_split_clause,[],[f38954,f78748]) ).

tff(f78748,plain,
    ( spl3933_100
  <=> ( none_num = bit_and_not_num(one,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_100])]) ).

tff(f38954,plain,
    none_num = bit_and_not_num(one,one),
    inference(cnf_transformation,[],[f9758]) ).

tff(f9758,axiom,
    none_num = bit_and_not_num(one,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9757_and__not__num_Osimps_I1_J) ).

tff(f78746,plain,
    spl3933_99,
    inference(avatar_split_clause,[],[f38953,f78743]) ).

tff(f78743,plain,
    ( spl3933_99
  <=> ( none_num = bit_un2480387367778600638or_num(one,one) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_99])]) ).

tff(f38953,plain,
    none_num = bit_un2480387367778600638or_num(one,one),
    inference(cnf_transformation,[],[f9791]) ).

tff(f9791,axiom,
    none_num = bit_un2480387367778600638or_num(one,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9790_xor__num_Osimps_I1_J) ).

tff(f78741,plain,
    spl3933_98,
    inference(avatar_split_clause,[],[f38952,f78738]) ).

tff(f38952,plain,
    m = aa_nat_nat(suc,na),
    inference(cnf_transformation,[],[f175]) ).

tff(f175,axiom,
    m = aa_nat_nat(suc,na),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_case4_I5_J) ).

tff(f78736,plain,
    spl3933_97,
    inference(avatar_split_clause,[],[f38951,f78733]) ).

tff(f78733,plain,
    ( spl3933_97
  <=> ( nil_nat = aa_nat_list_nat(nat_list_decode,zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_97])]) ).

tff(f38951,plain,
    nil_nat = aa_nat_list_nat(nat_list_decode,zero_zero_nat),
    inference(cnf_transformation,[],[f10152]) ).

tff(f10152,axiom,
    nil_nat = aa_nat_list_nat(nat_list_decode,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10151_list__decode_Osimps_I1_J) ).

tff(f78731,plain,
    spl3933_96,
    inference(avatar_split_clause,[],[f38950,f78728]) ).

tff(f78728,plain,
    ( spl3933_96
  <=> ( top_top_set_nat = image_list_nat_nat(nat_list_encode,top_top_set_list_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_96])]) ).

tff(f38950,plain,
    top_top_set_nat = image_list_nat_nat(nat_list_encode,top_top_set_list_nat),
    inference(cnf_transformation,[],[f10016]) ).

tff(f10016,axiom,
    top_top_set_nat = image_list_nat_nat(nat_list_encode,top_top_set_list_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10015_surj__list__encode) ).

tff(f78726,plain,
    spl3933_95,
    inference(avatar_split_clause,[],[f38949,f78723]) ).

tff(f78723,plain,
    ( spl3933_95
  <=> ( top_top_set_nat = image_2486076414777270412at_nat(nat_prod_encode,top_to4669805908274784177at_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_95])]) ).

tff(f38949,plain,
    top_top_set_nat = image_2486076414777270412at_nat(nat_prod_encode,top_to4669805908274784177at_nat),
    inference(cnf_transformation,[],[f10006]) ).

tff(f10006,axiom,
    top_top_set_nat = image_2486076414777270412at_nat(nat_prod_encode,top_to4669805908274784177at_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10005_surj__prod__encode) ).

tff(f78721,plain,
    spl3933_94,
    inference(avatar_split_clause,[],[f38948,f78718]) ).

tff(f78718,plain,
    ( spl3933_94
  <=> ( bNF_Ca8665028551170535155natLeq = collec3392354462482085612at_nat(produc8955392012077580105t_bool(ord_less_eq_nat)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_94])]) ).

tff(f38948,plain,
    bNF_Ca8665028551170535155natLeq = collec3392354462482085612at_nat(produc8955392012077580105t_bool(ord_less_eq_nat)),
    inference(cnf_transformation,[],[f10042]) ).

tff(f10042,axiom,
    bNF_Ca8665028551170535155natLeq = collec3392354462482085612at_nat(produc8955392012077580105t_bool(ord_less_eq_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10041_natLeq__def) ).

tff(f78716,plain,
    spl3933_93,
    inference(avatar_split_clause,[],[f38947,f78713]) ).

tff(f78713,plain,
    ( spl3933_93
  <=> ( top_to4669805908274784177at_nat = image_5846123807819985514at_nat(nat_prod_decode,top_top_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_93])]) ).

tff(f38947,plain,
    top_to4669805908274784177at_nat = image_5846123807819985514at_nat(nat_prod_decode,top_top_set_nat),
    inference(cnf_transformation,[],[f10144]) ).

tff(f10144,axiom,
    top_to4669805908274784177at_nat = image_5846123807819985514at_nat(nat_prod_decode,top_top_set_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10143_surj__prod__decode) ).

tff(f78711,plain,
    spl3933_92,
    inference(avatar_split_clause,[],[f38946,f78708]) ).

tff(f78708,plain,
    ( spl3933_92
  <=> ( top_top_set_list_nat = image_nat_list_nat(nat_list_decode,top_top_set_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_92])]) ).

tff(f38946,plain,
    top_top_set_list_nat = image_nat_list_nat(nat_list_decode,top_top_set_nat),
    inference(cnf_transformation,[],[f10155]) ).

tff(f10155,axiom,
    top_top_set_list_nat = image_nat_list_nat(nat_list_decode,top_top_set_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10154_surj__list__decode) ).

tff(f78706,plain,
    spl3933_91,
    inference(avatar_split_clause,[],[f38945,f78703]) ).

tff(f78703,plain,
    ( spl3933_91
  <=> ( pred_nat = collec3392354462482085612at_nat(produc8955392012077580105t_bool(aTP_Lamm_wo)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_91])]) ).

tff(f38945,plain,
    pred_nat = collec3392354462482085612at_nat(produc8955392012077580105t_bool(aTP_Lamm_wo)),
    inference(cnf_transformation,[],[f9714]) ).

tff(f9714,axiom,
    pred_nat = collec3392354462482085612at_nat(produc8955392012077580105t_bool(aTP_Lamm_wo)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9713_pred__nat__def) ).

tff(f78701,plain,
    spl3933_90,
    inference(avatar_split_clause,[],[f64456,f78698]) ).

tff(f78698,plain,
    ( spl3933_90
  <=> ( one_one_nat = size_size_option_nat(none_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_90])]) ).

tff(f64456,plain,
    one_one_nat = size_size_option_nat(none_nat),
    inference(forward_demodulation,[],[f39008,f38966]) ).

tff(f39008,plain,
    aa_nat_nat(suc,zero_zero_nat) = size_size_option_nat(none_nat),
    inference(cnf_transformation,[],[f3332]) ).

tff(f3332,axiom,
    aa_nat_nat(suc,zero_zero_nat) = size_size_option_nat(none_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3331_option_Osize_I3_J) ).

tff(f78696,plain,
    spl3933_89,
    inference(avatar_split_clause,[],[f64455,f78693]) ).

tff(f78693,plain,
    ( spl3933_89
  <=> ( one_one_nat = size_s170228958280169651at_nat(none_P5556105721700978146at_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_89])]) ).

tff(f64455,plain,
    one_one_nat = size_s170228958280169651at_nat(none_P5556105721700978146at_nat),
    inference(forward_demodulation,[],[f39007,f38966]) ).

tff(f39007,plain,
    aa_nat_nat(suc,zero_zero_nat) = size_s170228958280169651at_nat(none_P5556105721700978146at_nat),
    inference(cnf_transformation,[],[f3333]) ).

tff(f3333,axiom,
    aa_nat_nat(suc,zero_zero_nat) = size_s170228958280169651at_nat(none_P5556105721700978146at_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3332_option_Osize_I3_J) ).

tff(f78691,plain,
    spl3933_88,
    inference(avatar_split_clause,[],[f64454,f78688]) ).

tff(f78688,plain,
    ( spl3933_88
  <=> ( one_one_nat = size_size_option_num(none_num) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_88])]) ).

tff(f64454,plain,
    one_one_nat = size_size_option_num(none_num),
    inference(forward_demodulation,[],[f39006,f38966]) ).

tff(f39006,plain,
    aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(none_num),
    inference(cnf_transformation,[],[f3334]) ).

tff(f3334,axiom,
    aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(none_num),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3333_option_Osize_I3_J) ).

tff(f78686,plain,
    spl3933_87,
    inference(avatar_split_clause,[],[f63780,f78684]) ).

tff(f78684,plain,
    ( spl3933_87
  <=> ! [X0: fun_nat_bool,X1: nat] : sP488(X0,X1,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_87])]) ).

tff(f63780,plain,
    ! [X0: fun_nat_bool,X1: nat] : sP488(X0,X1,zero_zero_nat),
    inference(equality_resolution,[],[f54714]) ).

tff(f54714,plain,
    ! [X2: nat,X0: fun_nat_bool,X1: nat] :
      ( sP488(X0,X1,X2)
      | ( zero_zero_nat != X2 ) ),
    inference(cnf_transformation,[],[f36652]) ).

tff(f36652,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP488(X0,X1,X2)
        | ( ~ pp(aa_nat_bool(X0,sK3254(X0,X1,X2)))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),sK3254(X0,X1,X2))),sK3255(X0,X1,X2)) = X1 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3255(X0,X1,X2)),X2))
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X5: nat,X6: nat] :
            ( pp(aa_nat_bool(X0,X5))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X5)),X6) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X6),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP488(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3254,sK3255])],[f36650,f36651]) ).

tff(f36651,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ? [X3: nat,X4: nat] :
          ( ~ pp(aa_nat_bool(X0,X3))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
     => ( ~ pp(aa_nat_bool(X0,sK3254(X0,X1,X2)))
        & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),sK3254(X0,X1,X2))),sK3255(X0,X1,X2)) = X1 )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3255(X0,X1,X2)),X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f36650,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP488(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X3))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X5: nat,X6: nat] :
            ( pp(aa_nat_bool(X0,X5))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X5)),X6) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X6),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP488(X0,X1,X2) ) ),
    inference(rectify,[],[f36649]) ).

tff(f36649,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP488(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X3))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X3))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP488(X0,X1,X2) ) ),
    inference(flattening,[],[f36648]) ).

tff(f36648,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP488(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X3))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X3))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP488(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f29213]) ).

tff(f29213,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( sP488(X0,X1,X2)
    <=> ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X3))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP488])]) ).

tff(f78682,plain,
    spl3933_86,
    inference(avatar_split_clause,[],[f63775,f78680]) ).

tff(f78680,plain,
    ( spl3933_86
  <=> ! [X0: fun_nat_bool,X1: nat] : sP485(X0,X1,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_86])]) ).

tff(f63775,plain,
    ! [X0: fun_nat_bool,X1: nat] : sP485(X0,X1,zero_zero_nat),
    inference(equality_resolution,[],[f54689]) ).

tff(f54689,plain,
    ! [X2: nat,X0: fun_nat_bool,X1: nat] :
      ( sP485(X0,X1,X2)
      | ( zero_zero_nat != X2 ) ),
    inference(cnf_transformation,[],[f36633]) ).

tff(f36633,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP485(X0,X1,X2)
        | ( ~ pp(aa_nat_bool(X0,sK3251(X0,X1,X2)))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),sK3250(X0,X1,X2))),sK3251(X0,X1,X2)) = X1 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3251(X0,X1,X2)),X2))
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X5: nat,X6: nat] :
            ( pp(aa_nat_bool(X0,X6))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X5)),X6) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X6),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP485(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3250,sK3251])],[f36631,f36632]) ).

tff(f36632,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ? [X3: nat,X4: nat] :
          ( ~ pp(aa_nat_bool(X0,X4))
          & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
     => ( ~ pp(aa_nat_bool(X0,sK3251(X0,X1,X2)))
        & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),sK3250(X0,X1,X2))),sK3251(X0,X1,X2)) = X1 )
        & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,sK3251(X0,X1,X2)),X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f36631,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP485(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X4))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X5: nat,X6: nat] :
            ( pp(aa_nat_bool(X0,X6))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X5)),X6) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X6),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP485(X0,X1,X2) ) ),
    inference(rectify,[],[f36630]) ).

tff(f36630,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP485(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X4))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X4))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP485(X0,X1,X2) ) ),
    inference(flattening,[],[f36629]) ).

tff(f36629,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( ( sP485(X0,X1,X2)
        | ( ? [X3: nat,X4: nat] :
              ( ~ pp(aa_nat_bool(X0,X4))
              & ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) = X1 )
              & pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
          & ( zero_zero_nat != X2 ) ) )
      & ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X4))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 )
        | ~ sP485(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f29207]) ).

tff(f29207,plain,
    ! [X0: fun_nat_bool,X1: nat,X2: nat] :
      ( sP485(X0,X1,X2)
    <=> ( ! [X3: nat,X4: nat] :
            ( pp(aa_nat_bool(X0,X4))
            | ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X3)),X4) != X1 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X4),X2)) )
        | ( zero_zero_nat = X2 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP485])]) ).

tff(f78678,plain,
    spl3933_85,
    inference(avatar_split_clause,[],[f63768,f78676]) ).

tff(f78676,plain,
    ( spl3933_85
  <=> ! [X2: bool,X1: bool] : ~ sP483(zero_zero_nat,X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_85])]) ).

tff(f63768,plain,
    ! [X2: bool,X1: bool] : ~ sP483(zero_zero_nat,X1,X2),
    inference(equality_resolution,[],[f54648]) ).

tff(f54648,plain,
    ! [X2: bool,X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP483(X0,X1,X2) ),
    inference(cnf_transformation,[],[f36604]) ).

tff(f36604,plain,
    ! [X0: nat,X1: bool,X2: bool] :
      ( ( sP483(X0,X1,X2)
        | ( zero_zero_nat = X0 )
        | ( ( ~ pp(X1)
            | ~ pp(X2) )
          & ( pp(X1)
            | pp(X2) ) ) )
      & ( ( ( zero_zero_nat != X0 )
          & ( pp(X2)
            | ~ pp(X1) )
          & ( pp(X1)
            | ~ pp(X2) ) )
        | ~ sP483(X0,X1,X2) ) ),
    inference(rectify,[],[f36603]) ).

tff(f36603,plain,
    ! [X1: nat,X2: bool,X0: bool] :
      ( ( sP483(X1,X2,X0)
        | ( zero_zero_nat = X1 )
        | ( ( ~ pp(X2)
            | ~ pp(X0) )
          & ( pp(X2)
            | pp(X0) ) ) )
      & ( ( ( zero_zero_nat != X1 )
          & ( pp(X0)
            | ~ pp(X2) )
          & ( pp(X2)
            | ~ pp(X0) ) )
        | ~ sP483(X1,X2,X0) ) ),
    inference(flattening,[],[f36602]) ).

tff(f36602,plain,
    ! [X1: nat,X2: bool,X0: bool] :
      ( ( sP483(X1,X2,X0)
        | ( zero_zero_nat = X1 )
        | ( ( ~ pp(X2)
            | ~ pp(X0) )
          & ( pp(X2)
            | pp(X0) ) ) )
      & ( ( ( zero_zero_nat != X1 )
          & ( pp(X0)
            | ~ pp(X2) )
          & ( pp(X2)
            | ~ pp(X0) ) )
        | ~ sP483(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f29203]) ).

tff(f29203,plain,
    ! [X1: nat,X2: bool,X0: bool] :
      ( sP483(X1,X2,X0)
    <=> ( ( zero_zero_nat != X1 )
        & ( pp(X0)
        <=> pp(X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP483])]) ).

tff(f78674,plain,
    spl3933_84,
    inference(avatar_split_clause,[],[f63517,f78672]) ).

tff(f78672,plain,
    ( spl3933_84
  <=> ! [X2: product_prod_int_int,X0: int] : ~ sP328(X0,zero_zero_int,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_84])]) ).

tff(f63517,plain,
    ! [X2: product_prod_int_int,X0: int] : ~ sP328(X0,zero_zero_int,X2),
    inference(equality_resolution,[],[f52517]) ).

tff(f52517,plain,
    ! [X2: product_prod_int_int,X0: int,X1: int] :
      ( ( zero_zero_int != X1 )
      | ~ sP328(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35229]) ).

tff(f35229,plain,
    ! [X0: int,X1: int,X2: product_prod_int_int] :
      ( ( ( aa_int_int(aa_int_fun_int_int(times_times_int,sK2815(X0,X1,X2)),X1) = X0 )
        & ( zero_zero_int != X1 )
        & ( aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,sK2815(X0,X1,X2)),zero_zero_int) = X2 ) )
      | ~ sP328(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2815])],[f35227,f35228]) ).

tff(f35228,plain,
    ! [X0: int,X1: int,X2: product_prod_int_int] :
      ( ? [X3: int] :
          ( ( aa_int_int(aa_int_fun_int_int(times_times_int,X3),X1) = X0 )
          & ( zero_zero_int != X1 )
          & ( aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,X3),zero_zero_int) = X2 ) )
     => ( ( aa_int_int(aa_int_fun_int_int(times_times_int,sK2815(X0,X1,X2)),X1) = X0 )
        & ( zero_zero_int != X1 )
        & ( aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,sK2815(X0,X1,X2)),zero_zero_int) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f35227,plain,
    ! [X0: int,X1: int,X2: product_prod_int_int] :
      ( ? [X3: int] :
          ( ( aa_int_int(aa_int_fun_int_int(times_times_int,X3),X1) = X0 )
          & ( zero_zero_int != X1 )
          & ( aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,X3),zero_zero_int) = X2 ) )
      | ~ sP328(X0,X1,X2) ),
    inference(nnf_transformation,[],[f28978]) ).

tff(f28978,plain,
    ! [X0: int,X1: int,X2: product_prod_int_int] :
      ( ? [X3: int] :
          ( ( aa_int_int(aa_int_fun_int_int(times_times_int,X3),X1) = X0 )
          & ( zero_zero_int != X1 )
          & ( aa_int7462565939943104719nt_int(aa_int2565445551602696444nt_int(product_Pair_int_int,X3),zero_zero_int) = X2 ) )
      | ~ sP328(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP328])]) ).

tff(f78670,plain,
    spl3933_83,
    inference(avatar_split_clause,[],[f62337,f78667]) ).

tff(f78667,plain,
    ( spl3933_83
  <=> pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,bot_bo228742789529271731at_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_83])]) ).

tff(f62337,plain,
    pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,bot_bo228742789529271731at_nat)),
    inference(equality_resolution,[],[f41586]) ).

tff(f41586,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
      | ( bot_bo228742789529271731at_nat != X0 ) ),
    inference(cnf_transformation,[],[f30267]) ).

tff(f30267,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
        | ( ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
              ( ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
              | ( insert9069300056098147895at_nat(X2,X1) != X0 ) )
          & ( bot_bo228742789529271731at_nat != X0 ) ) )
      & ( ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,sK1218(X0)))
          & ( insert9069300056098147895at_nat(sK1219(X0),sK1218(X0)) = X0 ) )
        | ( bot_bo228742789529271731at_nat = X0 )
        | ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1218,sK1219])],[f30265,f30266]) ).

tff(f30266,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( ? [X3: set_Pr4329608150637261639at_nat,X4: produc3843707927480180839at_nat] :
          ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X3))
          & ( insert9069300056098147895at_nat(X4,X3) = X0 ) )
     => ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,sK1218(X0)))
        & ( insert9069300056098147895at_nat(sK1219(X0),sK1218(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f30265,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
        | ( ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
              ( ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
              | ( insert9069300056098147895at_nat(X2,X1) != X0 ) )
          & ( bot_bo228742789529271731at_nat != X0 ) ) )
      & ( ? [X3: set_Pr4329608150637261639at_nat,X4: produc3843707927480180839at_nat] :
            ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X3))
            & ( insert9069300056098147895at_nat(X4,X3) = X0 ) )
        | ( bot_bo228742789529271731at_nat = X0 )
        | ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0)) ) ),
    inference(rectify,[],[f30264]) ).

tff(f30264,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
        | ( ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
              ( ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
              | ( insert9069300056098147895at_nat(X2,X1) != X0 ) )
          & ( bot_bo228742789529271731at_nat != X0 ) ) )
      & ( ? [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
            ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
            & ( insert9069300056098147895at_nat(X2,X1) = X0 ) )
        | ( bot_bo228742789529271731at_nat = X0 )
        | ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0)) ) ),
    inference(flattening,[],[f30263]) ).

tff(f30263,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
        | ( ! [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
              ( ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
              | ( insert9069300056098147895at_nat(X2,X1) != X0 ) )
          & ( bot_bo228742789529271731at_nat != X0 ) ) )
      & ( ? [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
            ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
            & ( insert9069300056098147895at_nat(X2,X1) = X0 ) )
        | ( bot_bo228742789529271731at_nat = X0 )
        | ~ pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0)) ) ),
    inference(nnf_transformation,[],[f12975]) ).

tff(f12975,plain,
    ! [X0: set_Pr4329608150637261639at_nat] :
      ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X0))
    <=> ( ? [X1: set_Pr4329608150637261639at_nat,X2: produc3843707927480180839at_nat] :
            ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X1))
            & ( insert9069300056098147895at_nat(X2,X1) = X0 ) )
        | ( bot_bo228742789529271731at_nat = X0 ) ) ),
    inference(rectify,[],[f4859]) ).

tff(f4859,axiom,
    ! [X12: set_Pr4329608150637261639at_nat] :
      ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X12))
    <=> ( ? [X205: set_Pr4329608150637261639at_nat,X168: produc3843707927480180839at_nat] :
            ( pp(aa_set4148026973699692364t_bool(finite4343798906461161616at_nat,X205))
            & ( insert9069300056098147895at_nat(X168,X205) = X12 ) )
        | ( bot_bo228742789529271731at_nat = X12 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4858_finite_Osimps) ).

tff(f78665,plain,
    spl3933_82,
    inference(avatar_split_clause,[],[f41648,f78663]) ).

tff(f78663,plain,
    ( spl3933_82
  <=> ! [X0: nat] : ~ pp(aa_nat_bool(aTP_Lamm_ch,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_82])]) ).

tff(f41648,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aTP_Lamm_ch,X0)),
    inference(cnf_transformation,[],[f13007]) ).

tff(f13007,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aTP_Lamm_ch,X0)),
    inference(flattening,[],[f13006]) ).

tff(f13006,plain,
    ! [X0: nat] : ~ pp(aa_nat_bool(aTP_Lamm_ch,X0)),
    inference(true_and_false_elimination,[],[f13005]) ).

tff(f13005,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aTP_Lamm_ch,X0))
    <=> $false ),
    inference(rectify,[],[f10881]) ).

tff(f10881,axiom,
    ! [X93: nat] :
      ( pp(aa_nat_bool(aTP_Lamm_ch,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10880_ATP_Olambda__675) ).

tff(f78661,plain,
    spl3933_81,
    inference(avatar_split_clause,[],[f41645,f78659]) ).

tff(f78659,plain,
    ( spl3933_81
  <=> ! [X0: nat] : pp(aa_nat_bool(aTP_Lamm_vr,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_81])]) ).

tff(f41645,plain,
    ! [X0: nat] : pp(aa_nat_bool(aTP_Lamm_vr,X0)),
    inference(cnf_transformation,[],[f13003]) ).

tff(f13003,plain,
    ! [X0: nat] : pp(aa_nat_bool(aTP_Lamm_vr,X0)),
    inference(true_and_false_elimination,[],[f13002]) ).

tff(f13002,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aTP_Lamm_vr,X0))
    <=> $true ),
    inference(rectify,[],[f10883]) ).

tff(f10883,axiom,
    ! [X93: nat] :
      ( pp(aa_nat_bool(aTP_Lamm_vr,X93))
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10882_ATP_Olambda__677) ).

tff(f78657,plain,
    spl3933_80,
    inference(avatar_split_clause,[],[f41632,f78655]) ).

tff(f41632,plain,
    ! [X0: int] : ~ pp(aa_int_bool(aTP_Lamm_ci,X0)),
    inference(cnf_transformation,[],[f12997]) ).

tff(f12997,plain,
    ! [X0: int] : ~ pp(aa_int_bool(aTP_Lamm_ci,X0)),
    inference(flattening,[],[f12996]) ).

tff(f12996,plain,
    ! [X0: int] : ~ pp(aa_int_bool(aTP_Lamm_ci,X0)),
    inference(true_and_false_elimination,[],[f12995]) ).

tff(f12995,plain,
    ! [X0: int] :
      ( pp(aa_int_bool(aTP_Lamm_ci,X0))
    <=> $false ),
    inference(rectify,[],[f10882]) ).

tff(f10882,axiom,
    ! [X93: int] :
      ( pp(aa_int_bool(aTP_Lamm_ci,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10881_ATP_Olambda__676) ).

tff(f78653,plain,
    spl3933_79,
    inference(avatar_split_clause,[],[f41616,f78651]) ).

tff(f78651,plain,
    ( spl3933_79
  <=> ! [X0: set_nat] : ~ pp(aa_set_nat_bool(aTP_Lamm_cd,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_79])]) ).

tff(f41616,plain,
    ! [X0: set_nat] : ~ pp(aa_set_nat_bool(aTP_Lamm_cd,X0)),
    inference(cnf_transformation,[],[f12988]) ).

tff(f12988,plain,
    ! [X0: set_nat] : ~ pp(aa_set_nat_bool(aTP_Lamm_cd,X0)),
    inference(flattening,[],[f12987]) ).

tff(f12987,plain,
    ! [X0: set_nat] : ~ pp(aa_set_nat_bool(aTP_Lamm_cd,X0)),
    inference(true_and_false_elimination,[],[f12986]) ).

tff(f12986,plain,
    ! [X0: set_nat] :
      ( pp(aa_set_nat_bool(aTP_Lamm_cd,X0))
    <=> $false ),
    inference(rectify,[],[f10880]) ).

tff(f10880,axiom,
    ! [X93: set_nat] :
      ( pp(aa_set_nat_bool(aTP_Lamm_cd,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10879_ATP_Olambda__674) ).

tff(f78649,plain,
    spl3933_78,
    inference(avatar_split_clause,[],[f41577,f78647]) ).

tff(f41577,plain,
    ! [X0: bool] : ~ pp(aa_bool_bool(aTP_Lamm_cg,X0)),
    inference(cnf_transformation,[],[f12971]) ).

tff(f12971,plain,
    ! [X0: bool] : ~ pp(aa_bool_bool(aTP_Lamm_cg,X0)),
    inference(flattening,[],[f12970]) ).

tff(f12970,plain,
    ! [X0: bool] : ~ pp(aa_bool_bool(aTP_Lamm_cg,X0)),
    inference(true_and_false_elimination,[],[f12969]) ).

tff(f12969,plain,
    ! [X0: bool] :
      ( pp(aa_bool_bool(aTP_Lamm_cg,X0))
    <=> $false ),
    inference(rectify,[],[f10879]) ).

tff(f10879,axiom,
    ! [X93: bool] :
      ( pp(aa_bool_bool(aTP_Lamm_cg,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10878_ATP_Olambda__673) ).

tff(f78645,plain,
    spl3933_77,
    inference(avatar_split_clause,[],[f41574,f78643]) ).

tff(f41574,plain,
    ! [X0: complex] : ~ pp(aa_complex_bool(aTP_Lamm_cc,X0)),
    inference(cnf_transformation,[],[f12967]) ).

tff(f12967,plain,
    ! [X0: complex] : ~ pp(aa_complex_bool(aTP_Lamm_cc,X0)),
    inference(flattening,[],[f12966]) ).

tff(f12966,plain,
    ! [X0: complex] : ~ pp(aa_complex_bool(aTP_Lamm_cc,X0)),
    inference(true_and_false_elimination,[],[f12965]) ).

tff(f12965,plain,
    ! [X0: complex] :
      ( pp(aa_complex_bool(aTP_Lamm_cc,X0))
    <=> $false ),
    inference(rectify,[],[f10877]) ).

tff(f10877,axiom,
    ! [X93: complex] :
      ( pp(aa_complex_bool(aTP_Lamm_cc,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10876_ATP_Olambda__671) ).

tff(f78641,plain,
    spl3933_76,
    inference(avatar_split_clause,[],[f41571,f78639]) ).

tff(f78639,plain,
    ( spl3933_76
  <=> ! [X0: product_prod_nat_nat] : ~ pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_76])]) ).

tff(f41571,plain,
    ! [X0: product_prod_nat_nat] : ~ pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X0)),
    inference(cnf_transformation,[],[f12963]) ).

tff(f12963,plain,
    ! [X0: product_prod_nat_nat] : ~ pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X0)),
    inference(flattening,[],[f12962]) ).

tff(f12962,plain,
    ! [X0: product_prod_nat_nat] : ~ pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X0)),
    inference(true_and_false_elimination,[],[f12961]) ).

tff(f12961,plain,
    ! [X0: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X0))
    <=> $false ),
    inference(rectify,[],[f10876]) ).

tff(f10876,axiom,
    ! [X93: product_prod_nat_nat] :
      ( pp(aa_Pro2232559814647311250t_bool(aTP_Lamm_cf,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10875_ATP_Olambda__670) ).

tff(f78637,plain,
    spl3933_75,
    inference(avatar_split_clause,[],[f41570,f78635]) ).

tff(f41570,plain,
    ! [X0: list_nat] : ~ pp(aa_list_nat_bool(aTP_Lamm_ce,X0)),
    inference(cnf_transformation,[],[f12960]) ).

tff(f12960,plain,
    ! [X0: list_nat] : ~ pp(aa_list_nat_bool(aTP_Lamm_ce,X0)),
    inference(flattening,[],[f12959]) ).

tff(f12959,plain,
    ! [X0: list_nat] : ~ pp(aa_list_nat_bool(aTP_Lamm_ce,X0)),
    inference(true_and_false_elimination,[],[f12958]) ).

tff(f12958,plain,
    ! [X0: list_nat] :
      ( pp(aa_list_nat_bool(aTP_Lamm_ce,X0))
    <=> $false ),
    inference(rectify,[],[f10878]) ).

tff(f10878,axiom,
    ! [X93: list_nat] :
      ( pp(aa_list_nat_bool(aTP_Lamm_ce,X93))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10877_ATP_Olambda__672) ).

tff(f78633,plain,
    spl3933_74,
    inference(avatar_split_clause,[],[f39309,f78631]) ).

tff(f78631,plain,
    ( spl3933_74
  <=> ! [X0: product_prod_nat_nat] : ( none_P5556105721700978146at_nat != some_P7363390416028606310at_nat(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_74])]) ).

tff(f39309,plain,
    ! [X0: product_prod_nat_nat] : ( none_P5556105721700978146at_nat != some_P7363390416028606310at_nat(X0) ),
    inference(cnf_transformation,[],[f10977]) ).

tff(f10977,plain,
    ! [X0: product_prod_nat_nat] : ( none_P5556105721700978146at_nat != some_P7363390416028606310at_nat(X0) ),
    inference(rectify,[],[f567]) ).

tff(f567,axiom,
    ! [X8: product_prod_nat_nat] : ( some_P7363390416028606310at_nat(X8) != none_P5556105721700978146at_nat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_566_option_Odistinct_I1_J) ).

tff(f78629,plain,
    spl3933_73,
    inference(avatar_split_clause,[],[f39308,f78627]) ).

tff(f78627,plain,
    ( spl3933_73
  <=> ! [X0: nat] : ( none_nat != some_nat(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_73])]) ).

tff(f39308,plain,
    ! [X0: nat] : ( none_nat != some_nat(X0) ),
    inference(cnf_transformation,[],[f10976]) ).

tff(f10976,plain,
    ! [X0: nat] : ( none_nat != some_nat(X0) ),
    inference(rectify,[],[f568]) ).

tff(f568,axiom,
    ! [X8: nat] : ( some_nat(X8) != none_nat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_567_option_Odistinct_I1_J) ).

tff(f78625,plain,
    spl3933_72,
    inference(avatar_split_clause,[],[f39307,f78623]) ).

tff(f78623,plain,
    ( spl3933_72
  <=> ! [X0: num] : ( none_num != some_num(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_72])]) ).

tff(f39307,plain,
    ! [X0: num] : ( none_num != some_num(X0) ),
    inference(cnf_transformation,[],[f10975]) ).

tff(f10975,plain,
    ! [X0: num] : ( none_num != some_num(X0) ),
    inference(rectify,[],[f569]) ).

tff(f569,axiom,
    ! [X8: num] : ( some_num(X8) != none_num ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_568_option_Odistinct_I1_J) ).

tff(f78621,plain,
    spl3933_71,
    inference(avatar_split_clause,[],[f39303,f78619]) ).

tff(f78619,plain,
    ( spl3933_71
  <=> ! [X0: int] : ( bot_bot_set_int != set_ord_lessThan_int(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_71])]) ).

tff(f39303,plain,
    ! [X0: int] : ( bot_bot_set_int != set_ord_lessThan_int(X0) ),
    inference(cnf_transformation,[],[f10971]) ).

tff(f10971,plain,
    ! [X0: int] : ( bot_bot_set_int != set_ord_lessThan_int(X0) ),
    inference(rectify,[],[f8372]) ).

tff(f8372,axiom,
    ! [X18: int] : ( bot_bot_set_int != set_ord_lessThan_int(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8371_lessThan__non__empty) ).

tff(f78617,plain,
    spl3933_70,
    inference(avatar_split_clause,[],[f39302,f78615]) ).

tff(f78615,plain,
    ( spl3933_70
  <=> ! [X0: real] : ( bot_bot_set_real != set_or5984915006950818249n_real(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_70])]) ).

tff(f39302,plain,
    ! [X0: real] : ( bot_bot_set_real != set_or5984915006950818249n_real(X0) ),
    inference(cnf_transformation,[],[f10970]) ).

tff(f10970,plain,
    ! [X0: real] : ( bot_bot_set_real != set_or5984915006950818249n_real(X0) ),
    inference(rectify,[],[f8373]) ).

tff(f8373,axiom,
    ! [X18: real] : ( bot_bot_set_real != set_or5984915006950818249n_real(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8372_lessThan__non__empty) ).

tff(f78613,plain,
    spl3933_69,
    inference(avatar_split_clause,[],[f38942,f78610]) ).

tff(f78610,plain,
    ( spl3933_69
  <=> pp(aa_set_nat_bool(finite_finite_nat,bot_bot_set_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_69])]) ).

tff(f38942,plain,
    pp(aa_set_nat_bool(finite_finite_nat,bot_bot_set_nat)),
    inference(cnf_transformation,[],[f4804]) ).

tff(f4804,axiom,
    pp(aa_set_nat_bool(finite_finite_nat,bot_bot_set_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4803_finite_OemptyI) ).

tff(f78608,plain,
    spl3933_68,
    inference(avatar_split_clause,[],[f38941,f78605]) ).

tff(f78605,plain,
    ( spl3933_68
  <=> pp(aa_set_complex_bool(finite3207457112153483333omplex,bot_bot_set_complex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_68])]) ).

tff(f38941,plain,
    pp(aa_set_complex_bool(finite3207457112153483333omplex,bot_bot_set_complex)),
    inference(cnf_transformation,[],[f4801]) ).

tff(f4801,axiom,
    pp(aa_set_complex_bool(finite3207457112153483333omplex,bot_bot_set_complex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4800_finite_OemptyI) ).

tff(f78603,plain,
    spl3933_67,
    inference(avatar_split_clause,[],[f38940,f78600]) ).

tff(f78600,plain,
    ( spl3933_67
  <=> pp(aa_set_bool_bool(finite_finite_bool,bot_bot_set_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_67])]) ).

tff(f38940,plain,
    pp(aa_set_bool_bool(finite_finite_bool,bot_bot_set_bool)),
    inference(cnf_transformation,[],[f4803]) ).

tff(f4803,axiom,
    pp(aa_set_bool_bool(finite_finite_bool,bot_bot_set_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4802_finite_OemptyI) ).

tff(f78598,plain,
    spl3933_66,
    inference(avatar_split_clause,[],[f38939,f78595]) ).

tff(f78595,plain,
    ( spl3933_66
  <=> pp(aa_set_int_bool(finite_finite_int,bot_bot_set_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_66])]) ).

tff(f38939,plain,
    pp(aa_set_int_bool(finite_finite_int,bot_bot_set_int)),
    inference(cnf_transformation,[],[f4805]) ).

tff(f4805,axiom,
    pp(aa_set_int_bool(finite_finite_int,bot_bot_set_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4804_finite_OemptyI) ).

tff(f78593,plain,
    spl3933_65,
    inference(avatar_split_clause,[],[f38938,f78590]) ).

tff(f78590,plain,
    ( spl3933_65
  <=> pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,bot_bo2099793752762293965at_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_65])]) ).

tff(f38938,plain,
    pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,bot_bo2099793752762293965at_nat)),
    inference(cnf_transformation,[],[f4802]) ).

tff(f4802,axiom,
    pp(aa_set3135850010578026034t_bool(finite6177210948735845034at_nat,bot_bo2099793752762293965at_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4801_finite_OemptyI) ).

tff(f78588,plain,
    spl3933_64,
    inference(avatar_split_clause,[],[f38937,f78585]) ).

tff(f78585,plain,
    ( spl3933_64
  <=> ( bot_bot_set_nat = collect_nat(aTP_Lamm_ch) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_64])]) ).

tff(f38937,plain,
    bot_bot_set_nat = collect_nat(aTP_Lamm_ch),
    inference(cnf_transformation,[],[f2630]) ).

tff(f2630,axiom,
    bot_bot_set_nat = collect_nat(aTP_Lamm_ch),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2629_empty__def) ).

tff(f78583,plain,
    spl3933_63,
    inference(avatar_split_clause,[],[f38936,f78580]) ).

tff(f78580,plain,
    ( spl3933_63
  <=> ( bot_bot_set_nat = collect_nat(bot_bot_fun_nat_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_63])]) ).

tff(f38936,plain,
    bot_bot_set_nat = collect_nat(bot_bot_fun_nat_bool),
    inference(cnf_transformation,[],[f383]) ).

tff(f383,axiom,
    bot_bot_set_nat = collect_nat(bot_bot_fun_nat_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_382_bot__set__def) ).

tff(f78578,plain,
    spl3933_62,
    inference(avatar_split_clause,[],[f38935,f78575]) ).

tff(f78575,plain,
    ( spl3933_62
  <=> ( bot_bot_set_bool = collect_bool(bot_bo4756488196683355415l_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_62])]) ).

tff(f38935,plain,
    bot_bot_set_bool = collect_bool(bot_bo4756488196683355415l_bool),
    inference(cnf_transformation,[],[f382]) ).

tff(f382,axiom,
    bot_bot_set_bool = collect_bool(bot_bo4756488196683355415l_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_381_bot__set__def) ).

tff(f78573,plain,
    spl3933_61,
    inference(avatar_split_clause,[],[f38934,f78570]) ).

tff(f78570,plain,
    ( spl3933_61
  <=> ( bot_bot_set_bool = collect_bool(aTP_Lamm_cg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_61])]) ).

tff(f38934,plain,
    bot_bot_set_bool = collect_bool(aTP_Lamm_cg),
    inference(cnf_transformation,[],[f2629]) ).

tff(f2629,axiom,
    bot_bot_set_bool = collect_bool(aTP_Lamm_cg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2628_empty__def) ).

tff(f78568,plain,
    spl3933_60,
    inference(avatar_split_clause,[],[f38933,f78565]) ).

tff(f78565,plain,
    ( spl3933_60
  <=> ( bot_bot_set_int = collect_int(bot_bot_fun_int_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_60])]) ).

tff(f38933,plain,
    bot_bot_set_int = collect_int(bot_bot_fun_int_bool),
    inference(cnf_transformation,[],[f384]) ).

tff(f384,axiom,
    bot_bot_set_int = collect_int(bot_bot_fun_int_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_383_bot__set__def) ).

tff(f78563,plain,
    spl3933_59,
    inference(avatar_split_clause,[],[f38932,f78560]) ).

tff(f78560,plain,
    ( spl3933_59
  <=> ( bot_bot_set_int = collect_int(aTP_Lamm_ci) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_59])]) ).

tff(f38932,plain,
    bot_bot_set_int = collect_int(aTP_Lamm_ci),
    inference(cnf_transformation,[],[f2631]) ).

tff(f2631,axiom,
    bot_bot_set_int = collect_int(aTP_Lamm_ci),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2630_empty__def) ).

tff(f78558,plain,
    spl3933_58,
    inference(avatar_split_clause,[],[f38930,f78555]) ).

tff(f78555,plain,
    ( spl3933_58
  <=> ( bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(bot_bo3782518310583830573t_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_58])]) ).

tff(f38930,plain,
    bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(bot_bo3782518310583830573t_bool),
    inference(cnf_transformation,[],[f381]) ).

tff(f381,axiom,
    bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(bot_bo3782518310583830573t_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_380_bot__set__def) ).

tff(f78553,plain,
    spl3933_57,
    inference(avatar_split_clause,[],[f38929,f78550]) ).

tff(f78550,plain,
    ( spl3933_57
  <=> ( bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(aTP_Lamm_cf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_57])]) ).

tff(f38929,plain,
    bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(aTP_Lamm_cf),
    inference(cnf_transformation,[],[f2628]) ).

tff(f2628,axiom,
    bot_bo2099793752762293965at_nat = collec3392354462482085612at_nat(aTP_Lamm_cf),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2627_empty__def) ).

tff(f78548,plain,
    spl3933_56,
    inference(avatar_split_clause,[],[f38928,f78545]) ).

tff(f78545,plain,
    ( spl3933_56
  <=> ( zero_z3403309356797280102nteger = abs_abs_Code_integer(zero_z3403309356797280102nteger) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_56])]) ).

tff(f78543,plain,
    spl3933_55,
    inference(avatar_split_clause,[],[f38927,f78540]) ).

tff(f78540,plain,
    ( spl3933_55
  <=> ( bot_bot_set_complex = collect_complex(bot_bo8490223647127498926x_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_55])]) ).

tff(f38927,plain,
    bot_bot_set_complex = collect_complex(bot_bo8490223647127498926x_bool),
    inference(cnf_transformation,[],[f378]) ).

tff(f378,axiom,
    bot_bot_set_complex = collect_complex(bot_bo8490223647127498926x_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_377_bot__set__def) ).

tff(f78538,plain,
    spl3933_54,
    inference(avatar_split_clause,[],[f38926,f78535]) ).

tff(f78535,plain,
    ( spl3933_54
  <=> ( bot_bot_set_complex = collect_complex(aTP_Lamm_cc) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_54])]) ).

tff(f38926,plain,
    bot_bot_set_complex = collect_complex(aTP_Lamm_cc),
    inference(cnf_transformation,[],[f2625]) ).

tff(f2625,axiom,
    bot_bot_set_complex = collect_complex(aTP_Lamm_cc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2624_empty__def) ).

tff(f78533,plain,
    spl3933_53,
    inference(avatar_split_clause,[],[f38925,f78530]) ).

tff(f78530,plain,
    ( spl3933_53
  <=> ( vEBT_VEBT_add = vEBT_V4262088993061758097ft_nat(plus_plus_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_53])]) ).

tff(f38925,plain,
    vEBT_VEBT_add = vEBT_V4262088993061758097ft_nat(plus_plus_nat),
    inference(cnf_transformation,[],[f560]) ).

tff(f560,axiom,
    vEBT_VEBT_add = vEBT_V4262088993061758097ft_nat(plus_plus_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_559_add__def) ).

tff(f78528,plain,
    spl3933_52,
    inference(avatar_split_clause,[],[f38924,f78525]) ).

tff(f78525,plain,
    ( spl3933_52
  <=> ( vEBT_VEBT_mul = vEBT_V4262088993061758097ft_nat(times_times_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_52])]) ).

tff(f38924,plain,
    vEBT_VEBT_mul = vEBT_V4262088993061758097ft_nat(times_times_nat),
    inference(cnf_transformation,[],[f2453]) ).

tff(f2453,axiom,
    vEBT_VEBT_mul = vEBT_V4262088993061758097ft_nat(times_times_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2452_mul__def) ).

tff(f78523,plain,
    spl3933_51,
    inference(avatar_split_clause,[],[f38923,f78520]) ).

tff(f78520,plain,
    ( spl3933_51
  <=> ( intrel = produc5023667602222594023t_bool(aTP_Lamm_zr) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_51])]) ).

tff(f38923,plain,
    intrel = produc5023667602222594023t_bool(aTP_Lamm_zr),
    inference(cnf_transformation,[],[f10102]) ).

tff(f10102,axiom,
    intrel = produc5023667602222594023t_bool(aTP_Lamm_zr),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10101_intrel__def) ).

tff(f78518,plain,
    spl3933_50,
    inference(avatar_split_clause,[],[f38922,f78515]) ).

tff(f78515,plain,
    ( spl3933_50
  <=> ( bot_bot_set_set_nat = collect_set_nat(bot_bo8343409700046576086t_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_50])]) ).

tff(f38922,plain,
    bot_bot_set_set_nat = collect_set_nat(bot_bo8343409700046576086t_bool),
    inference(cnf_transformation,[],[f379]) ).

tff(f379,axiom,
    bot_bot_set_set_nat = collect_set_nat(bot_bo8343409700046576086t_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_378_bot__set__def) ).

tff(f78513,plain,
    spl3933_49,
    inference(avatar_split_clause,[],[f38921,f78510]) ).

tff(f78510,plain,
    ( spl3933_49
  <=> ( bot_bot_set_set_nat = collect_set_nat(aTP_Lamm_cd) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_49])]) ).

tff(f38921,plain,
    bot_bot_set_set_nat = collect_set_nat(aTP_Lamm_cd),
    inference(cnf_transformation,[],[f2626]) ).

tff(f2626,axiom,
    bot_bot_set_set_nat = collect_set_nat(aTP_Lamm_cd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2625_empty__def) ).

tff(f78508,plain,
    spl3933_48,
    inference(avatar_split_clause,[],[f38920,f78505]) ).

tff(f78505,plain,
    ( spl3933_48
  <=> ( nat_prod_encode = produc6842872674320459806at_nat(aTP_Lamm_ze) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_48])]) ).

tff(f38920,plain,
    nat_prod_encode = produc6842872674320459806at_nat(aTP_Lamm_ze),
    inference(cnf_transformation,[],[f10011]) ).

tff(f10011,axiom,
    nat_prod_encode = produc6842872674320459806at_nat(aTP_Lamm_ze),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10010_prod__encode__def) ).

tff(f78503,plain,
    spl3933_47,
    inference(avatar_split_clause,[],[f38919,f78500]) ).

tff(f78500,plain,
    ( spl3933_47
  <=> ( nat_prod_decode = nat_prod_decode_aux(zero_zero_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_47])]) ).

tff(f38919,plain,
    nat_prod_decode = nat_prod_decode_aux(zero_zero_nat),
    inference(cnf_transformation,[],[f10142]) ).

tff(f10142,axiom,
    nat_prod_decode = nat_prod_decode_aux(zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10141_prod__decode__def) ).

tff(f78498,plain,
    spl3933_46,
    inference(avatar_split_clause,[],[f38918,f78495]) ).

tff(f78495,plain,
    ( spl3933_46
  <=> ( bot_bot_set_list_nat = collect_list_nat(aTP_Lamm_ce) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_46])]) ).

tff(f38918,plain,
    bot_bot_set_list_nat = collect_list_nat(aTP_Lamm_ce),
    inference(cnf_transformation,[],[f2627]) ).

tff(f2627,axiom,
    bot_bot_set_list_nat = collect_list_nat(aTP_Lamm_ce),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2626_empty__def) ).

tff(f78493,plain,
    spl3933_45,
    inference(avatar_split_clause,[],[f38917,f78490]) ).

tff(f78490,plain,
    ( spl3933_45
  <=> ( bot_bot_set_list_nat = collect_list_nat(bot_bo6469247547558333820t_bool) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_45])]) ).

tff(f38917,plain,
    bot_bot_set_list_nat = collect_list_nat(bot_bo6469247547558333820t_bool),
    inference(cnf_transformation,[],[f380]) ).

tff(f380,axiom,
    bot_bot_set_list_nat = collect_list_nat(bot_bo6469247547558333820t_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_bot__set__def) ).

tff(f78488,plain,
    spl3933_44,
    inference(avatar_split_clause,[],[f38916,f78485]) ).

tff(f78485,plain,
    ( spl3933_44
  <=> ( vEBT_VEBT_power = vEBT_V4262088993061758097ft_nat(power_power_nat) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_44])]) ).

tff(f38916,plain,
    vEBT_VEBT_power = vEBT_V4262088993061758097ft_nat(power_power_nat),
    inference(cnf_transformation,[],[f748]) ).

tff(f748,axiom,
    vEBT_VEBT_power = vEBT_V4262088993061758097ft_nat(power_power_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_747_local_Opower__def) ).

tff(f78483,plain,
    spl3933_43,
    inference(avatar_split_clause,[],[f72405,f78480]) ).

tff(f78480,plain,
    ( spl3933_43
  <=> sP151(zero_zero_nat,one_one_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_43])]) ).

tff(f72405,plain,
    sP151(zero_zero_nat,one_one_nat),
    inference(forward_demodulation,[],[f63217,f38966]) ).

tff(f63217,plain,
    sP151(zero_zero_nat,aa_nat_nat(suc,zero_zero_nat)),
    inference(equality_resolution,[],[f63216]) ).

tff(f63216,plain,
    ! [X1: nat] :
      ( sP151(zero_zero_nat,X1)
      | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ),
    inference(equality_resolution,[],[f48436]) ).

tff(f48436,plain,
    ! [X0: nat,X1: nat] :
      ( sP151(X0,X1)
      | ( zero_zero_nat != X0 )
      | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ),
    inference(cnf_transformation,[],[f33361]) ).

tff(f33361,plain,
    ! [X0: nat,X1: nat] :
      ( ( sP151(X0,X1)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X0 )
            | ( zero_zero_nat != X1 ) )
          & ( ( zero_zero_nat != X0 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X0 )
          & ( zero_zero_nat = X1 ) )
        | ( ( zero_zero_nat = X0 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X1 ) )
        | ~ sP151(X0,X1) ) ),
    inference(rectify,[],[f33360]) ).

tff(f33360,plain,
    ! [X1: nat,X0: nat] :
      ( ( sP151(X1,X0)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ( zero_zero_nat != X0 ) )
          & ( ( zero_zero_nat != X1 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X0 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) )
        | ~ sP151(X1,X0) ) ),
    inference(flattening,[],[f33359]) ).

tff(f33359,plain,
    ! [X1: nat,X0: nat] :
      ( ( sP151(X1,X0)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ( zero_zero_nat != X0 ) )
          & ( ( zero_zero_nat != X1 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X0 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) )
        | ~ sP151(X1,X0) ) ),
    inference(nnf_transformation,[],[f28707]) ).

tff(f28707,plain,
    ! [X1: nat,X0: nat] :
      ( sP151(X1,X0)
    <=> ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])]) ).

tff(f78478,plain,
    spl3933_42,
    inference(avatar_split_clause,[],[f72404,f78475]) ).

tff(f78475,plain,
    ( spl3933_42
  <=> sP151(one_one_nat,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_42])]) ).

tff(f72404,plain,
    sP151(one_one_nat,zero_zero_nat),
    inference(forward_demodulation,[],[f63215,f38966]) ).

tff(f63215,plain,
    sP151(aa_nat_nat(suc,zero_zero_nat),zero_zero_nat),
    inference(equality_resolution,[],[f63214]) ).

tff(f63214,plain,
    ! [X1: nat] :
      ( sP151(aa_nat_nat(suc,zero_zero_nat),X1)
      | ( zero_zero_nat != X1 ) ),
    inference(equality_resolution,[],[f48437]) ).

tff(f48437,plain,
    ! [X0: nat,X1: nat] :
      ( sP151(X0,X1)
      | ( aa_nat_nat(suc,zero_zero_nat) != X0 )
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33361]) ).

tff(f78473,plain,
    spl3933_41,
    inference(avatar_split_clause,[],[f72395,f78470]) ).

tff(f78470,plain,
    ( spl3933_41
  <=> sP150(zero_zero_nat,one_one_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_41])]) ).

tff(f72395,plain,
    sP150(zero_zero_nat,one_one_nat),
    inference(forward_demodulation,[],[f63213,f38966]) ).

tff(f63213,plain,
    sP150(zero_zero_nat,aa_nat_nat(suc,zero_zero_nat)),
    inference(equality_resolution,[],[f63212]) ).

tff(f63212,plain,
    ! [X1: nat] :
      ( sP150(zero_zero_nat,X1)
      | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ),
    inference(equality_resolution,[],[f48428]) ).

tff(f48428,plain,
    ! [X0: nat,X1: nat] :
      ( sP150(X0,X1)
      | ( zero_zero_nat != X0 )
      | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ),
    inference(cnf_transformation,[],[f33357]) ).

tff(f33357,plain,
    ! [X0: nat,X1: nat] :
      ( ( sP150(X0,X1)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X0 )
            | ( zero_zero_nat != X1 ) )
          & ( ( zero_zero_nat != X0 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X1 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X0 )
          & ( zero_zero_nat = X1 ) )
        | ( ( zero_zero_nat = X0 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X1 ) )
        | ~ sP150(X0,X1) ) ),
    inference(rectify,[],[f33356]) ).

tff(f33356,plain,
    ! [X1: nat,X0: nat] :
      ( ( sP150(X1,X0)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ( zero_zero_nat != X0 ) )
          & ( ( zero_zero_nat != X1 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X0 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) )
        | ~ sP150(X1,X0) ) ),
    inference(flattening,[],[f33355]) ).

tff(f33355,plain,
    ! [X1: nat,X0: nat] :
      ( ( sP150(X1,X0)
        | ( ( ( aa_nat_nat(suc,zero_zero_nat) != X1 )
            | ( zero_zero_nat != X0 ) )
          & ( ( zero_zero_nat != X1 )
            | ( aa_nat_nat(suc,zero_zero_nat) != X0 ) ) ) )
      & ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) )
        | ~ sP150(X1,X0) ) ),
    inference(nnf_transformation,[],[f28705]) ).

tff(f28705,plain,
    ! [X1: nat,X0: nat] :
      ( sP150(X1,X0)
    <=> ( ( ( aa_nat_nat(suc,zero_zero_nat) = X1 )
          & ( zero_zero_nat = X0 ) )
        | ( ( zero_zero_nat = X1 )
          & ( aa_nat_nat(suc,zero_zero_nat) = X0 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])]) ).

tff(f78468,plain,
    spl3933_40,
    inference(avatar_split_clause,[],[f72394,f78465]) ).

tff(f78465,plain,
    ( spl3933_40
  <=> sP150(one_one_nat,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_40])]) ).

tff(f72394,plain,
    sP150(one_one_nat,zero_zero_nat),
    inference(forward_demodulation,[],[f63211,f38966]) ).

tff(f63211,plain,
    sP150(aa_nat_nat(suc,zero_zero_nat),zero_zero_nat),
    inference(equality_resolution,[],[f63210]) ).

tff(f63210,plain,
    ! [X1: nat] :
      ( sP150(aa_nat_nat(suc,zero_zero_nat),X1)
      | ( zero_zero_nat != X1 ) ),
    inference(equality_resolution,[],[f48429]) ).

tff(f48429,plain,
    ! [X0: nat,X1: nat] :
      ( sP150(X0,X1)
      | ( aa_nat_nat(suc,zero_zero_nat) != X0 )
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33357]) ).

tff(f78463,plain,
    spl3933_39,
    inference(avatar_split_clause,[],[f63735,f78461]) ).

tff(f78461,plain,
    ( spl3933_39
  <=> ! [X1: bool] : sP473(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_39])]) ).

tff(f63735,plain,
    ! [X1: bool] : sP473(zero_zero_nat,X1),
    inference(equality_resolution,[],[f54435]) ).

tff(f54435,plain,
    ! [X0: nat,X1: bool] :
      ( sP473(X0,X1)
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f36479]) ).

tff(f78459,plain,
    spl3933_38,
    inference(avatar_split_clause,[],[f63729,f78457]) ).

tff(f78457,plain,
    ( spl3933_38
  <=> ! [X1: bool] : sP472(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_38])]) ).

tff(f63729,plain,
    ! [X1: bool] : sP472(zero_zero_nat,X1),
    inference(equality_resolution,[],[f54424]) ).

tff(f54424,plain,
    ! [X0: nat,X1: bool] :
      ( sP472(X0,X1)
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f36473]) ).

tff(f78455,plain,
    spl3933_37,
    inference(avatar_split_clause,[],[f63587,f78453]) ).

tff(f78453,plain,
    ( spl3933_37
  <=> ! [X1: bool] : ~ sP413(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_37])]) ).

tff(f63587,plain,
    ! [X1: bool] : ~ sP413(zero_zero_nat,X1),
    inference(equality_resolution,[],[f53323]) ).

tff(f53323,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP413(X0,X1) ),
    inference(cnf_transformation,[],[f35654]) ).

tff(f78451,plain,
    spl3933_36,
    inference(avatar_split_clause,[],[f63579,f78449]) ).

tff(f78449,plain,
    ( spl3933_36
  <=> ! [X1: bool] : sP404(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_36])]) ).

tff(f63579,plain,
    ! [X1: bool] : sP404(zero_zero_nat,X1),
    inference(equality_resolution,[],[f53294]) ).

tff(f53294,plain,
    ! [X0: nat,X1: bool] :
      ( sP404(X0,X1)
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f35627]) ).

tff(f78447,plain,
    spl3933_35,
    inference(avatar_split_clause,[],[f63561,f78445]) ).

tff(f78445,plain,
    ( spl3933_35
  <=> ! [X1: bool] : ~ sP376(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_35])]) ).

tff(f63561,plain,
    ! [X1: bool] : ~ sP376(zero_zero_nat,X1),
    inference(equality_resolution,[],[f53160]) ).

tff(f53160,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP376(X0,X1) ),
    inference(cnf_transformation,[],[f35495]) ).

tff(f78443,plain,
    spl3933_34,
    inference(avatar_split_clause,[],[f63555,f78441]) ).

tff(f78441,plain,
    ( spl3933_34
  <=> ! [X1: bool] : sP370(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_34])]) ).

tff(f63555,plain,
    ! [X1: bool] : sP370(zero_zero_nat,X1),
    inference(equality_resolution,[],[f53143]) ).

tff(f53143,plain,
    ! [X0: nat,X1: bool] :
      ( sP370(X0,X1)
      | ( zero_zero_nat != X0 ) ),
    inference(cnf_transformation,[],[f35479]) ).

tff(f78439,plain,
    spl3933_33,
    inference(avatar_split_clause,[],[f63235,f78437]) ).

tff(f78437,plain,
    ( spl3933_33
  <=> ! [X1: rat] : sP177(zero_zero_rat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_33])]) ).

tff(f63235,plain,
    ! [X1: rat] : sP177(zero_zero_rat,X1),
    inference(equality_resolution,[],[f48858]) ).

tff(f48858,plain,
    ! [X0: rat,X1: rat] :
      ( sP177(X0,X1)
      | ( zero_zero_rat != X0 ) ),
    inference(cnf_transformation,[],[f33567]) ).

tff(f33567,plain,
    ! [X0: rat,X1: rat] :
      ( ( sP177(X0,X1)
        | ( ( zero_zero_rat != X0 )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X0),zero_zero_rat)) )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0)) ) ) )
      & ( ( zero_zero_rat = X0 )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X0),zero_zero_rat)) )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0)) )
        | ~ sP177(X0,X1) ) ),
    inference(rectify,[],[f33566]) ).

tff(f33566,plain,
    ! [X1: rat,X0: rat] :
      ( ( sP177(X1,X0)
        | ( ( zero_zero_rat != X1 )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X1),zero_zero_rat)) )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X1)) ) ) )
      & ( ( zero_zero_rat = X1 )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X1),zero_zero_rat)) )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X1)) )
        | ~ sP177(X1,X0) ) ),
    inference(flattening,[],[f33565]) ).

tff(f33565,plain,
    ! [X1: rat,X0: rat] :
      ( ( sP177(X1,X0)
        | ( ( zero_zero_rat != X1 )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X1),zero_zero_rat)) )
          & ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
            | ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X1)) ) ) )
      & ( ( zero_zero_rat = X1 )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X1),zero_zero_rat)) )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X1)) )
        | ~ sP177(X1,X0) ) ),
    inference(nnf_transformation,[],[f28759]) ).

tff(f28759,plain,
    ! [X1: rat,X0: rat] :
      ( sP177(X1,X0)
    <=> ( ( zero_zero_rat = X1 )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X1),X0))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,X1),zero_zero_rat)) )
        | ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_eq_rat,X0),X1))
          & pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X1)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP177])]) ).

tff(f78435,plain,
    spl3933_32,
    inference(avatar_split_clause,[],[f63232,f78433]) ).

tff(f78433,plain,
    ( spl3933_32
  <=> ! [X1: real] : sP161(zero_zero_real,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_32])]) ).

tff(f63232,plain,
    ! [X1: real] : sP161(zero_zero_real,X1),
    inference(equality_resolution,[],[f48569]) ).

tff(f48569,plain,
    ! [X0: real,X1: real] :
      ( sP161(X0,X1)
      | ( zero_zero_real != X0 ) ),
    inference(cnf_transformation,[],[f33423]) ).

tff(f33423,plain,
    ! [X0: real,X1: real] :
      ( ( sP161(X0,X1)
        | ( ( zero_zero_real != X0 )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),zero_zero_real)) )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0)) ) ) )
      & ( ( zero_zero_real = X0 )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X0),zero_zero_real)) )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0)) )
        | ~ sP161(X0,X1) ) ),
    inference(rectify,[],[f33422]) ).

tff(f33422,plain,
    ! [X1: real,X0: real] :
      ( ( sP161(X1,X0)
        | ( ( zero_zero_real != X1 )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),zero_zero_real)) )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X1)) ) ) )
      & ( ( zero_zero_real = X1 )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),zero_zero_real)) )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X1)) )
        | ~ sP161(X1,X0) ) ),
    inference(flattening,[],[f33421]) ).

tff(f33421,plain,
    ! [X1: real,X0: real] :
      ( ( sP161(X1,X0)
        | ( ( zero_zero_real != X1 )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),zero_zero_real)) )
          & ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
            | ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X1)) ) ) )
      & ( ( zero_zero_real = X1 )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),zero_zero_real)) )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X1)) )
        | ~ sP161(X1,X0) ) ),
    inference(nnf_transformation,[],[f28727]) ).

tff(f28727,plain,
    ! [X1: real,X0: real] :
      ( sP161(X1,X0)
    <=> ( ( zero_zero_real = X1 )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X1),X0))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,X1),zero_zero_real)) )
        | ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real,X0),X1))
          & pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X1)) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP161])]) ).

tff(f78431,plain,
    spl3933_31,
    inference(avatar_split_clause,[],[f63228,f78429]) ).

tff(f78429,plain,
    ( spl3933_31
  <=> ! [X0: real] : sP156(X0,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_31])]) ).

tff(f63228,plain,
    ! [X0: real] : sP156(X0,zero_zero_nat),
    inference(equality_resolution,[],[f48514]) ).

tff(f48514,plain,
    ! [X0: real,X1: nat] :
      ( sP156(X0,X1)
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33397]) ).

tff(f33397,plain,
    ! [X0: real,X1: nat] :
      ( ( sP156(X0,X1)
        | ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_real = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_real != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP156(X0,X1) ) ),
    inference(flattening,[],[f33396]) ).

tff(f33396,plain,
    ! [X0: real,X1: nat] :
      ( ( sP156(X0,X1)
        | ( ( ~ pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_real = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_real != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP156(X0,X1) ) ),
    inference(nnf_transformation,[],[f28717]) ).

tff(f28717,plain,
    ! [X0: real,X1: nat] :
      ( sP156(X0,X1)
    <=> ( ( pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real,zero_zero_real),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_real != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP156])]) ).

tff(f78427,plain,
    spl3933_30,
    inference(avatar_split_clause,[],[f63224,f78425]) ).

tff(f78425,plain,
    ( spl3933_30
  <=> ! [X0: rat] : sP154(X0,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_30])]) ).

tff(f63224,plain,
    ! [X0: rat] : sP154(X0,zero_zero_nat),
    inference(equality_resolution,[],[f48489]) ).

tff(f48489,plain,
    ! [X0: rat,X1: nat] :
      ( sP154(X0,X1)
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33386]) ).

tff(f33386,plain,
    ! [X0: rat,X1: nat] :
      ( ( sP154(X0,X1)
        | ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_rat = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_rat != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP154(X0,X1) ) ),
    inference(flattening,[],[f33385]) ).

tff(f33385,plain,
    ! [X0: rat,X1: nat] :
      ( ( sP154(X0,X1)
        | ( ( ~ pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_rat = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_rat != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP154(X0,X1) ) ),
    inference(nnf_transformation,[],[f28713]) ).

tff(f28713,plain,
    ! [X0: rat,X1: nat] :
      ( sP154(X0,X1)
    <=> ( ( pp(aa_rat_bool(aa_rat_fun_rat_bool(ord_less_rat,zero_zero_rat),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_rat != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP154])]) ).

tff(f78423,plain,
    spl3933_29,
    inference(avatar_split_clause,[],[f63219,f78421]) ).

tff(f78421,plain,
    ( spl3933_29
  <=> ! [X0: int] : sP152(X0,zero_zero_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_29])]) ).

tff(f63219,plain,
    ! [X0: int] : sP152(X0,zero_zero_nat),
    inference(equality_resolution,[],[f48461]) ).

tff(f48461,plain,
    ! [X0: int,X1: nat] :
      ( sP152(X0,X1)
      | ( zero_zero_nat != X1 ) ),
    inference(cnf_transformation,[],[f33373]) ).

tff(f33373,plain,
    ! [X0: int,X1: nat] :
      ( ( sP152(X0,X1)
        | ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_int = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_int != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP152(X0,X1) ) ),
    inference(flattening,[],[f33372]) ).

tff(f33372,plain,
    ! [X0: int,X1: nat] :
      ( ( sP152(X0,X1)
        | ( ( ~ pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),X0))
            | pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( ( zero_zero_int = X0 )
            | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
          & ( zero_zero_nat != X1 ) ) )
      & ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_int != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 )
        | ~ sP152(X0,X1) ) ),
    inference(nnf_transformation,[],[f28709]) ).

tff(f28709,plain,
    ! [X0: int,X1: nat] :
      ( sP152(X0,X1)
    <=> ( ( pp(aa_int_bool(aa_int_fun_int_bool(ord_less_int,zero_zero_int),X0))
          & ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( ( zero_zero_int != X0 )
          & pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)) )
        | ( zero_zero_nat = X1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])]) ).

tff(f78419,plain,
    spl3933_28,
    inference(avatar_split_clause,[],[f62852,f78417]) ).

tff(f78417,plain,
    ( spl3933_28
  <=> ! [X1: nat] : sP131(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_28])]) ).

tff(f62852,plain,
    ! [X1: nat] : sP131(X1,X1),
    inference(equality_resolution,[],[f46910]) ).

tff(f46910,plain,
    ! [X0: nat,X1: nat] :
      ( sP131(X1,X0)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32369]) ).

tff(f78415,plain,
    spl3933_27,
    inference(avatar_split_clause,[],[f62851,f78413]) ).

tff(f78413,plain,
    ( spl3933_27
  <=> ! [X1: int] : sP130(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_27])]) ).

tff(f62851,plain,
    ! [X1: int] : sP130(X1,X1),
    inference(equality_resolution,[],[f46903]) ).

tff(f46903,plain,
    ! [X0: int,X1: int] :
      ( sP130(X1,X0)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32365]) ).

tff(f78411,plain,
    spl3933_26,
    inference(avatar_split_clause,[],[f62850,f78409]) ).

tff(f78409,plain,
    ( spl3933_26
  <=> ! [X1: code_integer] : sP129(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_26])]) ).

tff(f62850,plain,
    ! [X1: code_integer] : sP129(X1,X1),
    inference(equality_resolution,[],[f46896]) ).

tff(f46896,plain,
    ! [X0: code_integer,X1: code_integer] :
      ( sP129(X1,X0)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32361]) ).

tff(f78407,plain,
    spl3933_25,
    inference(avatar_split_clause,[],[f62815,f78405]) ).

tff(f78405,plain,
    ( spl3933_25
  <=> ! [X1: list_bool] : sP128(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_25])]) ).

tff(f62815,plain,
    ! [X1: list_bool] : sP128(X1,X1),
    inference(equality_resolution,[],[f46837]) ).

tff(f46837,plain,
    ! [X0: list_bool,X1: list_bool] :
      ( sP128(X1,X0)
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f32320]) ).

tff(f78403,plain,
    spl3933_24,
    inference(avatar_split_clause,[],[f62793,f78401]) ).

tff(f78401,plain,
    ( spl3933_24
  <=> ! [X0: option_nat] : ~ sP108(X0,none_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_24])]) ).

tff(f62793,plain,
    ! [X0: option_nat] : ~ sP108(X0,none_nat),
    inference(equality_resolution,[],[f46459]) ).

tff(f46459,plain,
    ! [X0: option_nat,X1: option_nat] :
      ( ( none_nat != X1 )
      | ~ sP108(X0,X1) ),
    inference(cnf_transformation,[],[f31889]) ).

tff(f31889,plain,
    ! [X0: option_nat,X1: option_nat] :
      ( ( ( the_nat(X0) != the_nat(X1) )
        & ( none_nat != X0 )
        & ( none_nat != X1 ) )
      | ~ sP108(X0,X1) ),
    inference(rectify,[],[f31888]) ).

tff(f31888,plain,
    ! [X1: option_nat,X0: option_nat] :
      ( ( ( the_nat(X0) != the_nat(X1) )
        & ( none_nat != X1 )
        & ( none_nat != X0 ) )
      | ~ sP108(X1,X0) ),
    inference(nnf_transformation,[],[f28640]) ).

tff(f28640,plain,
    ! [X1: option_nat,X0: option_nat] :
      ( ( ( the_nat(X0) != the_nat(X1) )
        & ( none_nat != X1 )
        & ( none_nat != X0 ) )
      | ~ sP108(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).

tff(f78399,plain,
    spl3933_23,
    inference(avatar_split_clause,[],[f62792,f78397]) ).

tff(f78397,plain,
    ( spl3933_23
  <=> ! [X1: option_nat] : ~ sP108(none_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_23])]) ).

tff(f62792,plain,
    ! [X1: option_nat] : ~ sP108(none_nat,X1),
    inference(equality_resolution,[],[f46460]) ).

tff(f46460,plain,
    ! [X0: option_nat,X1: option_nat] :
      ( ( none_nat != X0 )
      | ~ sP108(X0,X1) ),
    inference(cnf_transformation,[],[f31889]) ).

tff(f78395,plain,
    spl3933_22,
    inference(avatar_split_clause,[],[f62789,f78393]) ).

tff(f78393,plain,
    ( spl3933_22
  <=> ! [X0: option4927543243414619207at_nat] : ~ sP107(X0,none_P5556105721700978146at_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_22])]) ).

tff(f62789,plain,
    ! [X0: option4927543243414619207at_nat] : ~ sP107(X0,none_P5556105721700978146at_nat),
    inference(equality_resolution,[],[f46454]) ).

tff(f46454,plain,
    ! [X0: option4927543243414619207at_nat,X1: option4927543243414619207at_nat] :
      ( ( none_P5556105721700978146at_nat != X1 )
      | ~ sP107(X0,X1) ),
    inference(cnf_transformation,[],[f31886]) ).

tff(f31886,plain,
    ! [X0: option4927543243414619207at_nat,X1: option4927543243414619207at_nat] :
      ( ( ( the_Pr8591224930841456533at_nat(X0) != the_Pr8591224930841456533at_nat(X1) )
        & ( none_P5556105721700978146at_nat != X0 )
        & ( none_P5556105721700978146at_nat != X1 ) )
      | ~ sP107(X0,X1) ),
    inference(rectify,[],[f31885]) ).

tff(f31885,plain,
    ! [X1: option4927543243414619207at_nat,X0: option4927543243414619207at_nat] :
      ( ( ( the_Pr8591224930841456533at_nat(X0) != the_Pr8591224930841456533at_nat(X1) )
        & ( none_P5556105721700978146at_nat != X1 )
        & ( none_P5556105721700978146at_nat != X0 ) )
      | ~ sP107(X1,X0) ),
    inference(nnf_transformation,[],[f28638]) ).

tff(f28638,plain,
    ! [X1: option4927543243414619207at_nat,X0: option4927543243414619207at_nat] :
      ( ( ( the_Pr8591224930841456533at_nat(X0) != the_Pr8591224930841456533at_nat(X1) )
        & ( none_P5556105721700978146at_nat != X1 )
        & ( none_P5556105721700978146at_nat != X0 ) )
      | ~ sP107(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).

tff(f78391,plain,
    spl3933_21,
    inference(avatar_split_clause,[],[f62788,f78389]) ).

tff(f78389,plain,
    ( spl3933_21
  <=> ! [X1: option4927543243414619207at_nat] : ~ sP107(none_P5556105721700978146at_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_21])]) ).

tff(f62788,plain,
    ! [X1: option4927543243414619207at_nat] : ~ sP107(none_P5556105721700978146at_nat,X1),
    inference(equality_resolution,[],[f46455]) ).

tff(f46455,plain,
    ! [X0: option4927543243414619207at_nat,X1: option4927543243414619207at_nat] :
      ( ( none_P5556105721700978146at_nat != X0 )
      | ~ sP107(X0,X1) ),
    inference(cnf_transformation,[],[f31886]) ).

tff(f78387,plain,
    spl3933_20,
    inference(avatar_split_clause,[],[f62785,f78385]) ).

tff(f78385,plain,
    ( spl3933_20
  <=> ! [X0: option_num] : ~ sP106(X0,none_num) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_20])]) ).

tff(f62785,plain,
    ! [X0: option_num] : ~ sP106(X0,none_num),
    inference(equality_resolution,[],[f46449]) ).

tff(f46449,plain,
    ! [X0: option_num,X1: option_num] :
      ( ( none_num != X1 )
      | ~ sP106(X0,X1) ),
    inference(cnf_transformation,[],[f31883]) ).

tff(f31883,plain,
    ! [X0: option_num,X1: option_num] :
      ( ( ( the_num(X0) != the_num(X1) )
        & ( none_num != X0 )
        & ( none_num != X1 ) )
      | ~ sP106(X0,X1) ),
    inference(rectify,[],[f31882]) ).

tff(f31882,plain,
    ! [X1: option_num,X0: option_num] :
      ( ( ( the_num(X0) != the_num(X1) )
        & ( none_num != X1 )
        & ( none_num != X0 ) )
      | ~ sP106(X1,X0) ),
    inference(nnf_transformation,[],[f28636]) ).

tff(f28636,plain,
    ! [X1: option_num,X0: option_num] :
      ( ( ( the_num(X0) != the_num(X1) )
        & ( none_num != X1 )
        & ( none_num != X0 ) )
      | ~ sP106(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).

tff(f78383,plain,
    spl3933_19,
    inference(avatar_split_clause,[],[f62784,f78381]) ).

tff(f78381,plain,
    ( spl3933_19
  <=> ! [X1: option_num] : ~ sP106(none_num,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_19])]) ).

tff(f62784,plain,
    ! [X1: option_num] : ~ sP106(none_num,X1),
    inference(equality_resolution,[],[f46450]) ).

tff(f46450,plain,
    ! [X0: option_num,X1: option_num] :
      ( ( none_num != X0 )
      | ~ sP106(X0,X1) ),
    inference(cnf_transformation,[],[f31883]) ).

tff(f78379,plain,
    spl3933_18,
    inference(avatar_split_clause,[],[f62659,f78377]) ).

tff(f78377,plain,
    ( spl3933_18
  <=> ! [X1: bool] : ~ sP78(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_18])]) ).

tff(f62659,plain,
    ! [X1: bool] : ~ sP78(zero_zero_nat,X1),
    inference(equality_resolution,[],[f45071]) ).

tff(f45071,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP78(X0,X1) ),
    inference(cnf_transformation,[],[f31533]) ).

tff(f78375,plain,
    spl3933_17,
    inference(avatar_split_clause,[],[f62656,f78373]) ).

tff(f78373,plain,
    ( spl3933_17
  <=> ! [X1: bool] : ~ sP73(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_17])]) ).

tff(f62656,plain,
    ! [X1: bool] : ~ sP73(zero_zero_nat,X1),
    inference(equality_resolution,[],[f45056]) ).

tff(f45056,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP73(X0,X1) ),
    inference(cnf_transformation,[],[f31520]) ).

tff(f78371,plain,
    spl3933_16,
    inference(avatar_split_clause,[],[f62651,f78369]) ).

tff(f78369,plain,
    ( spl3933_16
  <=> ! [X1: bool] : ~ sP62(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_16])]) ).

tff(f62651,plain,
    ! [X1: bool] : ~ sP62(zero_zero_nat,X1),
    inference(equality_resolution,[],[f44992]) ).

tff(f44992,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP62(X0,X1) ),
    inference(cnf_transformation,[],[f31449]) ).

tff(f78367,plain,
    spl3933_15,
    inference(avatar_split_clause,[],[f62648,f78365]) ).

tff(f78365,plain,
    ( spl3933_15
  <=> ! [X1: bool] : ~ sP59(zero_zero_nat,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_15])]) ).

tff(f62648,plain,
    ! [X1: bool] : ~ sP59(zero_zero_nat,X1),
    inference(equality_resolution,[],[f44984]) ).

tff(f44984,plain,
    ! [X0: nat,X1: bool] :
      ( ( zero_zero_nat != X0 )
      | ~ sP59(X0,X1) ),
    inference(cnf_transformation,[],[f31440]) ).

tff(f78363,plain,
    spl3933_14,
    inference(avatar_split_clause,[],[f58349,f78360]) ).

tff(f78360,plain,
    ( spl3933_14
  <=> ( code_positive = code_integer_of_num ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_14])]) ).

tff(f78358,plain,
    spl3933_13,
    inference(avatar_split_clause,[],[f39300,f78356]) ).

tff(f78356,plain,
    ( spl3933_13
  <=> ! [X0: fun_nat_real] : summable_real(aTP_Lamm_hz(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_13])]) ).

tff(f39300,plain,
    ! [X0: fun_nat_real] : summable_real(aTP_Lamm_hz(X0)),
    inference(cnf_transformation,[],[f10967]) ).

tff(f10967,plain,
    ! [X0: fun_nat_real] : summable_real(aTP_Lamm_hz(X0)),
    inference(rectify,[],[f7905]) ).

tff(f7905,axiom,
    ! [X61: fun_nat_real] : summable_real(aTP_Lamm_hz(X61)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7904_summable__zero__power_H) ).

tff(f78354,plain,
    spl3933_12,
    inference(avatar_split_clause,[],[f39298,f78352]) ).

tff(f78352,plain,
    ( spl3933_12
  <=> ! [X0: fun_nat_complex] : summable_complex(aTP_Lamm_hy(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_12])]) ).

tff(f39298,plain,
    ! [X0: fun_nat_complex] : summable_complex(aTP_Lamm_hy(X0)),
    inference(cnf_transformation,[],[f10965]) ).

tff(f10965,plain,
    ! [X0: fun_nat_complex] : summable_complex(aTP_Lamm_hy(X0)),
    inference(rectify,[],[f7904]) ).

tff(f7904,axiom,
    ! [X61: fun_nat_complex] : summable_complex(aTP_Lamm_hy(X61)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7903_summable__zero__power_H) ).

tff(f78350,plain,
    spl3933_11,
    inference(avatar_split_clause,[],[f39297,f78348]) ).

tff(f78348,plain,
    ( spl3933_11
  <=> ! [X0: fun_nat_int] : summable_int(aTP_Lamm_iu(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_11])]) ).

tff(f39297,plain,
    ! [X0: fun_nat_int] : summable_int(aTP_Lamm_iu(X0)),
    inference(cnf_transformation,[],[f10964]) ).

tff(f10964,plain,
    ! [X0: fun_nat_int] : summable_int(aTP_Lamm_iu(X0)),
    inference(rectify,[],[f7906]) ).

tff(f7906,axiom,
    ! [X61: fun_nat_int] : summable_int(aTP_Lamm_iu(X61)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7905_summable__zero__power_H) ).

tff(f78346,plain,
    spl3933_10,
    inference(avatar_split_clause,[],[f39296,f78344]) ).

tff(f39296,plain,
    ! [X0: list_VEBT_VEBT] : finite5795047828879050333T_VEBT(set_VEBT_VEBT2(X0)),
    inference(cnf_transformation,[],[f10963]) ).

tff(f10963,plain,
    ! [X0: list_VEBT_VEBT] : finite5795047828879050333T_VEBT(set_VEBT_VEBT2(X0)),
    inference(rectify,[],[f4677]) ).

tff(f4677,axiom,
    ! [X30: list_VEBT_VEBT] : finite5795047828879050333T_VEBT(set_VEBT_VEBT2(X30)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4676_List_Ofinite__set) ).

tff(f78342,plain,
    spl3933_9,
    inference(avatar_split_clause,[],[f38915,f78339]) ).

tff(f78339,plain,
    ( spl3933_9
  <=> summable_real(power_power_real(zero_zero_real)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_9])]) ).

tff(f38915,plain,
    summable_real(power_power_real(zero_zero_real)),
    inference(cnf_transformation,[],[f7822]) ).

tff(f7822,axiom,
    summable_real(power_power_real(zero_zero_real)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7821_summable__zero__power) ).

tff(f78337,plain,
    spl3933_8,
    inference(avatar_split_clause,[],[f38914,f78334]) ).

tff(f78334,plain,
    ( spl3933_8
  <=> summable_complex(power_power_complex(zero_zero_complex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_8])]) ).

tff(f38914,plain,
    summable_complex(power_power_complex(zero_zero_complex)),
    inference(cnf_transformation,[],[f7824]) ).

tff(f7824,axiom,
    summable_complex(power_power_complex(zero_zero_complex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7823_summable__zero__power) ).

tff(f78332,plain,
    spl3933_7,
    inference(avatar_split_clause,[],[f38913,f78329]) ).

tff(f78329,plain,
    ( spl3933_7
  <=> summable_int(power_power_int(zero_zero_int)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_7])]) ).

tff(f38913,plain,
    summable_int(power_power_int(zero_zero_int)),
    inference(cnf_transformation,[],[f7823]) ).

tff(f7823,axiom,
    summable_int(power_power_int(zero_zero_int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7822_summable__zero__power) ).

tff(f78327,plain,
    ~ spl3933_6,
    inference(avatar_split_clause,[],[f38903,f78324]) ).

tff(f78324,plain,
    ( spl3933_6
  <=> eventually_nat(aTP_Lamm_ch,at_top_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_6])]) ).

tff(f38903,plain,
    ~ eventually_nat(aTP_Lamm_ch,at_top_nat),
    inference(cnf_transformation,[],[f9904]) ).

tff(f9904,axiom,
    ~ eventually_nat(aTP_Lamm_ch,at_top_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9903_eventually__False__sequentially) ).

tff(f78322,plain,
    ~ spl3933_5,
    inference(avatar_split_clause,[],[f38902,f78319]) ).

tff(f78319,plain,
    ( spl3933_5
  <=> ( at_top_nat = bot_bot_filter_nat ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_5])]) ).

tff(f38902,plain,
    at_top_nat != bot_bot_filter_nat,
    inference(cnf_transformation,[],[f9845]) ).

tff(f9845,axiom,
    at_top_nat != bot_bot_filter_nat,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9844_trivial__limit__sequentially) ).

tff(f78317,plain,
    ( ~ spl3933_4
    | spl3933_3 ),
    inference(avatar_split_clause,[],[f78312,f78308,f78314]) ).

tff(f78308,plain,
    ( spl3933_3
  <=> ( sa = vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_3])]) ).

tff(f78312,plain,
    ( ( sa != vEBT_Node(info,deg,treeList,summary) )
    | spl3933_3 ),
    inference(forward_demodulation,[],[f78310,f39031]) ).

tff(f78310,plain,
    ( ( sa != vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary) )
    | spl3933_3 ),
    inference(avatar_component_clause,[],[f78308]) ).

tff(f78311,plain,
    ~ spl3933_3,
    inference(avatar_split_clause,[],[f58348,f78308]) ).

tff(f58348,plain,
    sa != vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary),
    inference(definition_unfolding,[],[f38899,f38906,f38904]) ).

tff(f38906,plain,
    treeList2 = treeList,
    inference(cnf_transformation,[],[f10]) ).

tff(f10,axiom,
    treeList2 = treeList,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__092_060open_062treeList_A_061_AtreeList_H_092_060close_062) ).

tff(f38899,plain,
    vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList2,summary2) != sa,
    inference(cnf_transformation,[],[f10957]) ).

tff(f10957,plain,
    vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList2,summary2) != sa,
    inference(flattening,[],[f10956]) ).

tff(f10956,negated_conjecture,
    ( ~ vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList2,summary2) = sa ),
    inference(negated_conjecture,[],[f10955]) ).

tff(f10955,conjecture,
    vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList2,summary2) = sa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f78306,plain,
    spl3933_2,
    inference(avatar_split_clause,[],[f38901,f78303]) ).

tff(f38901,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f10886]) ).

tff(f10886,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

tff(f78301,plain,
    ~ spl3933_1,
    inference(avatar_split_clause,[],[f38900,f78298]) ).

tff(f78298,plain,
    ( spl3933_1
  <=> pp(fFalse) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3933_1])]) ).

tff(f38900,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f10893]) ).

tff(f10893,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : ITP278_1 : TPTP v8.2.0. Released v8.0.0.
% 0.09/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 18:48:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (26074)Running in auto input_syntax mode. Trying TPTP
% 0.86/1.02  % (26079)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.86/1.02  % (26078)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.86/1.02  % (26081)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.86/1.03  % (26076)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.86/1.03  % (26077)WARNING: value z3 for option sas not known
% 0.86/1.03  % (26077)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.86/1.04  % (26075)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.86/1.05  % (26080)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 10.49/2.49  % (26079)First to succeed.
% 11.12/2.53  % (26079)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26074"
% 11.12/2.54  % (26079)Refutation found. Thanks to Tanya!
% 11.12/2.54  % SZS status Theorem for theBenchmark
% 11.12/2.54  % SZS output start Proof for theBenchmark
% See solution above
% 11.12/2.57  % (26079)------------------------------
% 11.12/2.57  % (26079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.12/2.57  % (26079)Termination reason: Refutation
% 11.12/2.57  
% 11.12/2.57  % (26079)Memory used [KB]: 50660
% 11.12/2.57  % (26079)Time elapsed: 1.509 s
% 11.12/2.57  % (26079)Instructions burned: 4209 (million)
% 11.12/2.57  % (26074)Success in time 2.233 s
%------------------------------------------------------------------------------