%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP271_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:32:50 AM UTC 2026
% Result : Theorem 50.48s 15.88s
% Output : Refutation 101.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 29
% Syntax : Number of formulae : 162 ( 116 unt; 0 typ; 1 def)
% Number of atoms : 235 ( 202 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 55 ~; 65 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 40 ( 3 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 431 ( 430 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 152 ( 150 usr; 2 prp; 0-5 aty)
% Number of functors : 2448 (2448 usr; 457 con; 0-8 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
produc1260151622200656695at_nat: $tType ).
tff(type_def_6,type,
produc533602882674032673at_nat: $tType ).
tff(type_def_7,type,
fun_fu4800041728187187127nteger: $tType ).
tff(type_def_8,type,
fun_Co1561183069634336733nteger: $tType ).
tff(type_def_9,type,
fun_fu4277857625997497611omplex: $tType ).
tff(type_def_10,type,
fun_op5682630191948829869t_bool: $tType ).
tff(type_def_11,type,
produc6167219322466932359on_num: $tType ).
tff(type_def_12,type,
produc3700678068921409119on_nat: $tType ).
tff(type_def_13,type,
produc2703417854250991842on_num: $tType ).
tff(type_def_14,type,
produc7004362771917097900on_nat: $tType ).
tff(type_def_15,type,
fun_fu4141963935195952137T_real: $tType ).
tff(type_def_16,type,
fun_Pr2477239776880934807at_nat: $tType ).
tff(type_def_17,type,
produc8114805097830739791at_num: $tType ).
tff(type_def_18,type,
produc9217583074051984497at_nat: $tType ).
tff(type_def_19,type,
fun_Pr5876161306168176259nteger: $tType ).
tff(type_def_20,type,
produc6121120109295599847at_nat: $tType ).
tff(type_def_21,type,
fun_fu4463953228700081077BT_rat: $tType ).
tff(type_def_22,type,
fun_fu5586652545743564717BT_nat: $tType ).
tff(type_def_23,type,
fun_fu7059288016784409353BT_int: $tType ).
tff(type_def_24,type,
fun_Pr817965127378462947t_bool: $tType ).
tff(type_def_25,type,
fun_fu7180905015247952065t_real: $tType ).
tff(type_def_26,type,
fun_fu6919794090103715845omplex: $tType ).
tff(type_def_27,type,
fun_fu3191020621175015362x_bool: $tType ).
tff(type_def_28,type,
fun_fu3064074204415222357nt_int: $tType ).
tff(type_def_29,type,
fun_fu7732904369943091395at_nat: $tType ).
tff(type_def_30,type,
fun_na1668100129766719005at_nat: $tType ).
tff(type_def_31,type,
fun_Co2470855966376689427nteger: $tType ).
tff(type_def_32,type,
fun_fu3612569900928539882l_real: $tType ).
tff(type_def_33,type,
fun_Pr446604468264085555t_bool: $tType ).
tff(type_def_34,type,
fun_fu8084223252616112272omplex: $tType ).
tff(type_def_35,type,
fun_se3305628495172992525t_bool: $tType ).
tff(type_def_36,type,
fun_fu9096511887113981695omplex: $tType ).
tff(type_def_37,type,
fun_fu709861064203714431x_real: $tType ).
tff(type_def_38,type,
fun_fu5995210064384465734x_bool: $tType ).
tff(type_def_39,type,
fun_li8232715659020003717t_bool: $tType ).
tff(type_def_40,type,
fun_fu9216119399439645550x_bool: $tType ).
tff(type_def_41,type,
set_Pr8693737435421807431at_nat: $tType ).
tff(type_def_42,type,
fun_fu3593947265352647275omplex: $tType ).
tff(type_def_43,type,
fun_fu5467039391162264447omplex: $tType ).
tff(type_def_44,type,
fun_fu6638204120336560003ex_rat: $tType ).
tff(type_def_45,type,
fun_fu2513798379308225899ex_nat: $tType ).
tff(type_def_46,type,
fun_fu4692242605864086655ex_int: $tType ).
tff(type_def_47,type,
fun_fu7100649987335273288l_bool: $tType ).
tff(type_def_48,type,
fun_Co3025358997185726883r_bool: $tType ).
tff(type_def_49,type,
fun_fu8382797250367883996t_bool: $tType ).
tff(type_def_50,type,
fun_fu5129045444369776328t_bool: $tType ).
tff(type_def_51,type,
fun_fu8998703528969179354omplex: $tType ).
tff(type_def_52,type,
fun_op775672374849087042m_bool: $tType ).
tff(type_def_53,type,
fun_op9100744243108201484t_bool: $tType ).
tff(type_def_54,type,
fun_op7732454363416259258t_bool: $tType ).
tff(type_def_55,type,
fun_op5698422665285572208t_bool: $tType ).
tff(type_def_56,type,
fun_fu7919257609373989805t_bool: $tType ).
tff(type_def_57,type,
fun_Pr5837708615769641901m_bool: $tType ).
tff(type_def_58,type,
fun_Pr248683899324676269t_bool: $tType ).
tff(type_def_59,type,
fun_Pr3099820731930151597t_bool: $tType ).
tff(type_def_60,type,
fun_na8713714802964096592at_nat: $tType ).
tff(type_def_61,type,
fun_fu9132278742410140537l_real: $tType ).
tff(type_def_62,type,
fun_fu2568719150003003596l_bool: $tType ).
tff(type_def_63,type,
produc859450856879609959at_nat: $tType ).
tff(type_def_64,type,
fun_se8708249003167407990omplex: $tType ).
tff(type_def_65,type,
fun_fu6750725090257165812l_bool: $tType ).
tff(type_def_66,type,
fun_fu1620311477532340197t_real: $tType ).
tff(type_def_67,type,
fun_fu4328765270694171897t_real: $tType ).
tff(type_def_68,type,
fun_fu8639250699203096928t_bool: $tType ).
tff(type_def_69,type,
fun_fu3401574108658714444t_bool: $tType ).
tff(type_def_70,type,
fun_fu8659448316070137091omplex: $tType ).
tff(type_def_71,type,
fun_fu2971308621445215880t_bool: $tType ).
tff(type_def_72,type,
fun_fu163127709195666036t_bool: $tType ).
tff(type_def_73,type,
fun_fu1400560744564786701nteger: $tType ).
tff(type_def_74,type,
fun_fu2868497722653781188t_bool: $tType ).
tff(type_def_75,type,
fun_fu3306995184869731826t_real: $tType ).
tff(type_def_76,type,
fun_se2100927751953696370t_real: $tType ).
tff(type_def_77,type,
fun_na4786964484885125043t_bool: $tType ).
tff(type_def_78,type,
fun_na4143055713577223196at_nat: $tType ).
tff(type_def_79,type,
fun_in2204242111582549184nt_int: $tType ).
tff(type_def_80,type,
fun_Co6597186368970283863nteger: $tType ).
tff(type_def_81,type,
fun_op7210469962420818650on_nat: $tType ).
tff(type_def_82,type,
fun_fu2454420574033104442at_nat: $tType ).
tff(type_def_83,type,
fun_fu3739269683040691718nt_int: $tType ).
tff(type_def_84,type,
fun_fu8198533418994508931T_real: $tType ).
tff(type_def_85,type,
fun_Pr2118491707810114563at_nat: $tType ).
tff(type_def_86,type,
fun_Pr2478283820680522243nt_int: $tType ).
tff(type_def_87,type,
fun_fu8643405727515436425nteger: $tType ).
tff(type_def_88,type,
fun_fu3477889739401271834t_real: $tType ).
tff(type_def_89,type,
fun_re3844104906058862192omplex: $tType ).
tff(type_def_90,type,
fun_fu2188483506383969923BT_rat: $tType ).
tff(type_def_91,type,
fun_fu5238640373165125763BT_nat: $tType ).
tff(type_def_92,type,
fun_fu5786399312697532803BT_int: $tType ).
tff(type_def_93,type,
fun_fu2499394402704830801nteger: $tType ).
tff(type_def_94,type,
fun_fu3628599891403802633nteger: $tType ).
tff(type_def_95,type,
fun_fu5956788528830221615omplex: $tType ).
tff(type_def_96,type,
fun_fu5589980185390252312t_real: $tType ).
tff(type_def_97,type,
fun_se7035039998181355731t_bool: $tType ).
tff(type_def_98,type,
fun_fu4806068833880117316t_real: $tType ).
tff(type_def_99,type,
fun_fu2115079063411676732t_real: $tType ).
tff(type_def_100,type,
fun_fu4540635375566031512t_real: $tType ).
tff(type_def_101,type,
fun_fu163975356400620604t_real: $tType ).
tff(type_def_102,type,
fun_Co7333321365496032713r_bool: $tType ).
tff(type_def_103,type,
fun_VE7346385682144900493T_bool: $tType ).
tff(type_def_104,type,
fun_fu8968174646369908141x_real: $tType ).
tff(type_def_105,type,
fun_fu248857536038387758omplex: $tType ).
tff(type_def_106,type,
fun_fu5519326811792979714x_bool: $tType ).
tff(type_def_107,type,
set_fi4554929511873752355omplex: $tType ).
tff(type_def_108,type,
fun_fu4413992040155564420at_nat: $tType ).
tff(type_def_109,type,
fun_fu923337204662071120nt_int: $tType ).
tff(type_def_110,type,
fun_Co1981900195452921617nteger: $tType ).
tff(type_def_111,type,
fun_re5512370375968561900l_real: $tType ).
tff(type_def_112,type,
list_P7413028617227757229T_VEBT: $tType ).
tff(type_def_113,type,
fun_fu5641360819561228055l_bool: $tType ).
tff(type_def_114,type,
fun_op1962577433978643573m_bool: $tType ).
tff(type_def_115,type,
fun_op1064277265382982207t_bool: $tType ).
tff(type_def_116,type,
fun_op8690601775248757823m_bool: $tType ).
tff(type_def_117,type,
fun_op7792301606653096457t_bool: $tType ).
tff(type_def_118,type,
fun_fu8384527901749275179omplex: $tType ).
tff(type_def_119,type,
fun_fu7714627026455246123x_real: $tType ).
tff(type_def_120,type,
fun_na4827981024643048934t_bool: $tType ).
tff(type_def_121,type,
fun_fu6356453956411242500x_bool: $tType ).
tff(type_def_122,type,
fun_fu1911030855436031788x_real: $tType ).
tff(type_def_123,type,
fun_na4138050610385705875at_nat: $tType ).
tff(type_def_124,type,
fun_in1696471567231710611nt_int: $tType ).
tff(type_def_125,type,
fun_fu5204410621998794179x_bool: $tType ).
tff(type_def_126,type,
fun_VE491066615515474744t_bool: $tType ).
tff(type_def_127,type,
fun_op2627489687811228755t_bool: $tType ).
tff(type_def_128,type,
fun_fu3810065756161129304x_bool: $tType ).
tff(type_def_129,type,
fun_fu40286998686754419omplex: $tType ).
tff(type_def_130,type,
fun_fu3613808716698379563omplex: $tType ).
tff(type_def_131,type,
fun_fu2990765671291504771ex_rat: $tType ).
tff(type_def_132,type,
fun_fu705315015666092147ex_nat: $tType ).
tff(type_def_133,type,
fun_fu4213752561377164075ex_int: $tType ).
tff(type_def_134,type,
fun_se7512233253626865466omplex: $tType ).
tff(type_def_135,type,
fun_na6632006986671646835omplex: $tType ).
tff(type_def_136,type,
fun_co6883864892131739507omplex: $tType ).
tff(type_def_137,type,
fun_Ex8341929632020906428d_enat: $tType ).
tff(type_def_138,type,
produc3447558737645232053on_num: $tType ).
tff(type_def_139,type,
produc4953844613479565601on_nat: $tType ).
tff(type_def_140,type,
fun_fu6344110373156359337l_real: $tType ).
tff(type_def_141,type,
produc2963631642982155120at_num: $tType ).
tff(type_def_142,type,
produc7248412053542808358at_nat: $tType ).
tff(type_def_143,type,
fun_fu1393723446858488622omplex: $tType ).
tff(type_def_144,type,
fun_fu914841811607101702l_bool: $tType ).
tff(type_def_145,type,
fun_li8598321315282354825t_bool: $tType ).
tff(type_def_146,type,
set_fi7789364187291644575l_real: $tType ).
tff(type_def_147,type,
fun_se8074476271188067385t_bool: $tType ).
tff(type_def_148,type,
fun_Pr8073036449086768093x_bool: $tType ).
tff(type_def_149,type,
fun_na2508794161012263405T_bool: $tType ).
tff(type_def_150,type,
fun_VE5877677516038742509T_bool: $tType ).
tff(type_def_151,type,
fun_fu7631928937237476593t_real: $tType ).
tff(type_def_152,type,
fun_fu3594690983434520489t_real: $tType ).
tff(type_def_153,type,
fun_fu7905158015251895726omplex: $tType ).
tff(type_def_154,type,
fun_fu4346542433904371390t_bool: $tType ).
tff(type_def_155,type,
fun_fu6363802315473983150omplex: $tType ).
tff(type_def_156,type,
fun_fu7152481525987436038t_bool: $tType ).
tff(type_def_157,type,
fun_se2973560062716774839x_bool: $tType ).
tff(type_def_158,type,
fun_Co8310303586393106575r_bool: $tType ).
tff(type_def_159,type,
filter6041513312241820739omplex: $tType ).
tff(type_def_160,type,
fun_fu3077872570260440615l_real: $tType ).
tff(type_def_161,type,
fun_fu4781654129426620053omplex: $tType ).
tff(type_def_162,type,
fun_Co8521658056209057742er_num: $tType ).
tff(type_def_163,type,
fun_Co3583066429914935172er_nat: $tType ).
tff(type_def_164,type,
fun_Co1092983284983208416er_int: $tType ).
tff(type_def_165,type,
fun_fu7376312551830202376l_bool: $tType ).
tff(type_def_166,type,
fun_fu1760894646116856364l_real: $tType ).
tff(type_def_167,type,
list_P44034876932920720T_bool: $tType ).
tff(type_def_168,type,
list_P5912569763298001674T_VEBT: $tType ).
tff(type_def_169,type,
fun_fu5874800227564645059l_bool: $tType ).
tff(type_def_170,type,
fun_re8542384036533109323t_real: $tType ).
tff(type_def_171,type,
fun_re4112884445705685835l_real: $tType ).
tff(type_def_172,type,
list_P7037539587688870467BT_nat: $tType ).
tff(type_def_173,type,
list_P4547456442757143711BT_int: $tType ).
tff(type_def_174,type,
list_P5647936690300460905T_VEBT: $tType ).
tff(type_def_175,type,
fun_fu2277326744902863452l_bool: $tType ).
tff(type_def_176,type,
fun_fu7249360421009165912al_rat: $tType ).
tff(type_def_177,type,
produc8243902056947475879T_VEBT: $tType ).
tff(type_def_178,type,
fun_fu2598743018846156927al_rat: $tType ).
tff(type_def_179,type,
fun_fu3214020956574444655al_nat: $tType ).
tff(type_def_180,type,
fun_fu6899955116716589935t_real: $tType ).
tff(type_def_181,type,
fun_fu121957152452960295t_real: $tType ).
tff(type_def_182,type,
fun_re4756235295228751087t_real: $tType ).
tff(type_def_183,type,
fun_na5225841814499866095t_real: $tType ).
tff(type_def_184,type,
fun_fu7195134416904984768t_bool: $tType ).
tff(type_def_185,type,
fun_fu9152424228179946668t_real: $tType ).
tff(type_def_186,type,
fun_fu549321512867696136t_bool: $tType ).
tff(type_def_187,type,
fun_fu6185597869953674668t_real: $tType ).
tff(type_def_188,type,
fun_Pr4050773816208733250omplex: $tType ).
tff(type_def_189,type,
fun_na376774557589183419x_bool: $tType ).
tff(type_def_190,type,
set_Pr5085853215250843933omplex: $tType ).
tff(type_def_191,type,
produc8923325533196201883nteger: $tType ).
tff(type_def_192,type,
fun_fu3106432010075488275t_real: $tType ).
tff(type_def_193,type,
fun_fu6119738925743952495t_real: $tType ).
tff(type_def_194,type,
fun_fu3889889255038636099t_bool: $tType ).
tff(type_def_195,type,
fun_fu7822069302422884163t_bool: $tType ).
tff(type_def_196,type,
fun_na7718645245721260691t_real: $tType ).
tff(type_def_197,type,
fun_fu3052598110916186900t_bool: $tType ).
tff(type_def_198,type,
fun_fu337402001079966300t_bool: $tType ).
tff(type_def_199,type,
fun_fu2671659548940339672nt_rat: $tType ).
tff(type_def_200,type,
fun_na3408937105440547634t_bool: $tType ).
tff(type_def_201,type,
fun_fu8328862064278946247at_rat: $tType ).
tff(type_def_202,type,
fun_fu7002938529518989751at_nat: $tType ).
tff(type_def_203,type,
fun_fu4512855384587262995at_int: $tType ).
tff(type_def_204,type,
fun_fu8464300013002972271at_int: $tType ).
tff(type_def_205,type,
fun_fu1008360527747082367nt_rat: $tType ).
tff(type_def_206,type,
fun_fu8905809029841901679nt_nat: $tType ).
tff(type_def_207,type,
fun_fu6415725884910174923nt_int: $tType ).
tff(type_def_208,type,
fun_fu1143798476471108391nt_int: $tType ).
tff(type_def_209,type,
fun_ra5513060666784058567at_rat: $tType ).
tff(type_def_210,type,
fun_Pr9030630356418945121l_bool: $tType ).
tff(type_def_211,type,
fun_nu9041852840018610706omplex: $tType ).
tff(type_def_212,type,
fun_na1148497095348402375at_rat: $tType ).
tff(type_def_213,type,
fun_na3925014923085203400omplex: $tType ).
tff(type_def_214,type,
fun_na3244735409550470327at_nat: $tType ).
tff(type_def_215,type,
fun_na7654559027617327379at_int: $tType ).
tff(type_def_216,type,
fun_na6363816395952508542omplex: $tType ).
tff(type_def_217,type,
fun_na2382631619178260847at_int: $tType ).
tff(type_def_218,type,
fun_in6793278964266839919at_int: $tType ).
tff(type_def_219,type,
fun_co7673397065115134084omplex: $tType ).
tff(type_def_220,type,
fun_nu1049378303802735384on_num: $tType ).
tff(type_def_221,type,
fun_na7595719129879163854on_num: $tType ).
tff(type_def_222,type,
fun_se2197967325210717499l_bool: $tType ).
tff(type_def_223,type,
fun_Pr672294278902479040t_real: $tType ).
tff(type_def_224,type,
fun_na6137814669449589053l_bool: $tType ).
tff(type_def_225,type,
filter2146258269922977983l_real: $tType ).
tff(type_def_226,type,
fun_Pr6287530515171585797m_bool: $tType ).
tff(type_def_227,type,
fun_Pr1727971692872576719m_bool: $tType ).
tff(type_def_228,type,
fun_Pr7757163693017731481t_bool: $tType ).
tff(type_def_229,type,
fun_Pr803113274115125473t_bool: $tType ).
tff(type_def_230,type,
fun_op1272087013972230845on_nat: $tType ).
tff(type_def_231,type,
fun_na205931550456536010l_bool: $tType ).
tff(type_def_232,type,
fun_VE2066785035971159626l_bool: $tType ).
tff(type_def_233,type,
fun_Pr8317260874932935276at_rat: $tType ).
tff(type_def_234,type,
fun_Pr2602117396471556196at_nat: $tType ).
tff(type_def_235,type,
fun_Pr7647638413817135296at_int: $tType ).
tff(type_def_236,type,
fun_Pr982841511892225912nt_int: $tType ).
tff(type_def_237,type,
fun_na5614638261385347865t_bool: $tType ).
tff(type_def_238,type,
fun_na7919044170365968317t_bool: $tType ).
tff(type_def_239,type,
fun_na1476630412504255114at_nat: $tType ).
tff(type_def_240,type,
fun_in4514472496968388910at_nat: $tType ).
tff(type_def_241,type,
fun_in4211310926729683942nt_int: $tType ).
tff(type_def_242,type,
fun_VE3763956218935105199t_bool: $tType ).
tff(type_def_243,type,
fun_se1654316830156123260t_real: $tType ).
tff(type_def_244,type,
fun_nu4698968662094489488t_real: $tType ).
tff(type_def_245,type,
fun_na2351039247863542899T_bool: $tType ).
tff(type_def_246,type,
fun_na3666575854997362246t_real: $tType ).
tff(type_def_247,type,
fun_na312559527389416956t_real: $tType ).
tff(type_def_248,type,
fun_se680526843285281907t_bool: $tType ).
tff(type_def_249,type,
fun_se6612071603986899387t_bool: $tType ).
tff(type_def_250,type,
fun_co1378794544173401837x_bool: $tType ).
tff(type_def_251,type,
option4927543243414619207at_nat: $tType ).
tff(type_def_252,type,
filter1242075044329608583at_nat: $tType ).
tff(type_def_253,type,
fun_se1179353343636554400at_nat: $tType ).
tff(type_def_254,type,
fun_se4827636401813558708nt_int: $tType ).
tff(type_def_255,type,
fun_nu530747996811530292et_nat: $tType ).
tff(type_def_256,type,
fun_nu4940571614878387344et_int: $tType ).
tff(type_def_257,type,
fun_na3896347130304379370et_nat: $tType ).
tff(type_def_258,type,
fun_na8306170748371236422et_int: $tType ).
tff(type_def_259,type,
fun_na1591161823130732966omplex: $tType ).
tff(type_def_260,type,
fun_co3258106519541737638omplex: $tType ).
tff(type_def_261,type,
set_Pr6218003697084177305l_real: $tType ).
tff(type_def_262,type,
list_P2722043638750504429l_bool: $tType ).
tff(type_def_263,type,
list_P6781292141273955916t_bool: $tType ).
tff(type_def_264,type,
list_P18149847613930150ol_nat: $tType ).
tff(type_def_265,type,
list_P6751438739536979202ol_int: $tType ).
tff(type_def_266,type,
produc6448083994118892042T_bool: $tType ).
tff(type_def_267,type,
produc8408751633324799108T_VEBT: $tType ).
tff(type_def_268,type,
list_P3744719386663036955um_num: $tType ).
tff(type_def_269,type,
list_P1726324292696863441at_num: $tType ).
tff(type_def_270,type,
list_P6011104703257516679at_nat: $tType ).
tff(type_def_271,type,
fun_li6006399982103069984T_bool: $tType ).
tff(type_def_272,type,
produc9072475918466114483BT_nat: $tType ).
tff(type_def_273,type,
produc4894624898956917775BT_int: $tType ).
tff(type_def_274,type,
produc7417142470700560111r_bool: $tType ).
tff(type_def_275,type,
set_Pr1261947904930325089at_nat: $tType ).
tff(type_def_276,type,
fun_se448528567104302406T_bool: $tType ).
tff(type_def_277,type,
fun_na5723442673449079972x_real: $tType ).
tff(type_def_278,type,
fun_co8378349014452122532t_real: $tType ).
tff(type_def_279,type,
fun_na5941084329111710283x_bool: $tType ).
tff(type_def_280,type,
fun_na1142814060743658952omplex: $tType ).
tff(type_def_281,type,
fun_Co8499238673658658103nteger: $tType ).
tff(type_def_282,type,
fun_re7681423839302404990l_real: $tType ).
tff(type_def_283,type,
fun_re1255401033344146673l_bool: $tType ).
tff(type_def_284,type,
fun_fu7511176317168184086l_bool: $tType ).
tff(type_def_285,type,
fun_re4238438383274954274t_real: $tType ).
tff(type_def_286,type,
fun_na6724076748692969250l_real: $tType ).
tff(type_def_287,type,
fun_li356976171784545970x_bool: $tType ).
tff(type_def_288,type,
fun_bo1841576699660343469l_bool: $tType ).
tff(type_def_289,type,
set_list_VEBT_VEBT: $tType ).
tff(type_def_290,type,
fun_fu7168253649841883962l_bool: $tType ).
tff(type_def_291,type,
fun_nat_fun_rat_real: $tType ).
tff(type_def_292,type,
fun_nat_fun_nat_real: $tType ).
tff(type_def_293,type,
fun_nat_fun_int_real: $tType ).
tff(type_def_294,type,
fun_na9137082442855928016l_bool: $tType ).
tff(type_def_295,type,
fun_Ex5852502975177633731d_enat: $tType ).
tff(type_def_296,type,
fun_VE5569070535936029429omplex: $tType ).
tff(type_def_297,type,
fun_set_complex_bool: $tType ).
tff(type_def_298,type,
fun_rat_fun_rat_bool: $tType ).
tff(type_def_299,type,
fun_num_fun_num_bool: $tType ).
tff(type_def_300,type,
fun_nat_fun_num_bool: $tType ).
tff(type_def_301,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_302,type,
fun_nat_fun_int_bool: $tType ).
tff(type_def_303,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_304,type,
fun_rat_fun_nat_rat: $tType ).
tff(type_def_305,type,
fun_num_fun_num_num: $tType ).
tff(type_def_306,type,
fun_num_set_complex: $tType ).
tff(type_def_307,type,
fun_nat_fun_rat_rat: $tType ).
tff(type_def_308,type,
fun_nat_fun_num_num: $tType ).
tff(type_def_309,type,
fun_nat_fun_nat_rat: $tType ).
tff(type_def_310,type,
fun_nat_fun_nat_nat: $tType ).
tff(type_def_311,type,
fun_nat_fun_nat_int: $tType ).
tff(type_def_312,type,
fun_nat_fun_int_int: $tType ).
tff(type_def_313,type,
fun_nat_set_complex: $tType ).
tff(type_def_314,type,
fun_int_fun_nat_int: $tType ).
tff(type_def_315,type,
fun_int_fun_int_int: $tType ).
tff(type_def_316,type,
fun_co8153928105989009288nteger: $tType ).
tff(type_def_317,type,
fun_option_num_bool: $tType ).
tff(type_def_318,type,
fun_option_nat_bool: $tType ).
tff(type_def_319,type,
fun_num_option_num: $tType ).
tff(type_def_320,type,
fun_nat_option_num: $tType ).
tff(type_def_321,type,
fun_list_real_bool: $tType ).
tff(type_def_322,type,
produc2804947525362035943l_bool: $tType ).
tff(type_def_323,type,
fun_list_bool_bool: $tType ).
tff(type_def_324,type,
produc567104428201204118ol_nat: $tType ).
tff(type_def_325,type,
produc5612625445546783218ol_int: $tType ).
tff(type_def_326,type,
fun_VEBT_VEBT_real: $tType ).
tff(type_def_327,type,
fun_set_real_bool: $tType ).
tff(type_def_328,type,
fun_list_nat_bool: $tType ).
tff(type_def_329,type,
fun_list_int_bool: $tType ).
tff(type_def_330,type,
product_prod_num_num: $tType ).
tff(type_def_331,type,
product_prod_nat_num: $tType ).
tff(type_def_332,type,
product_prod_nat_nat: $tType ).
tff(type_def_333,type,
product_prod_int_int: $tType ).
tff(type_def_334,type,
fun_VEBT_VEBT_bool: $tType ).
tff(type_def_335,type,
fun_re6978948838062957830nteger: $tType ).
tff(type_def_336,type,
fun_num_set_real: $tType ).
tff(type_def_337,type,
fun_nat_set_real: $tType ).
tff(type_def_338,type,
set_list_complex: $tType ).
tff(type_def_339,type,
fun_VEBT_VEBT_rat: $tType ).
tff(type_def_340,type,
fun_VEBT_VEBT_num: $tType ).
tff(type_def_341,type,
fun_VEBT_VEBT_nat: $tType ).
tff(type_def_342,type,
fun_VEBT_VEBT_int: $tType ).
tff(type_def_343,type,
fun_set_rat_bool: $tType ).
tff(type_def_344,type,
fun_set_num_bool: $tType ).
tff(type_def_345,type,
fun_set_nat_bool: $tType ).
tff(type_def_346,type,
fun_set_int_bool: $tType ).
tff(type_def_347,type,
fun_Co8822979462182099027r_bool: $tType ).
tff(type_def_348,type,
fun_set_nat_nat: $tType ).
tff(type_def_349,type,
fun_num_set_nat: $tType ).
tff(type_def_350,type,
fun_num_set_int: $tType ).
tff(type_def_351,type,
fun_nat_set_nat: $tType ).
tff(type_def_352,type,
fun_nat_Code_integer: $tType ).
tff(type_def_353,type,
fun_int_Code_integer: $tType ).
tff(type_def_354,type,
fun_complex_complex: $tType ).
tff(type_def_355,type,
fun_Code_integer_num: $tType ).
tff(type_def_356,type,
fun_Code_integer_nat: $tType ).
tff(type_def_357,type,
fun_Code_integer_int: $tType ).
tff(type_def_358,type,
fun_Ex8563670519792538868t_bool: $tType ).
tff(type_def_359,type,
set_list_real: $tType ).
tff(type_def_360,type,
set_list_bool: $tType ).
tff(type_def_361,type,
list_VEBT_VEBT: $tType ).
tff(type_def_362,type,
fun_real_complex: $tType ).
tff(type_def_363,type,
fun_complex_real: $tType ).
tff(type_def_364,type,
set_set_real: $tType ).
tff(type_def_365,type,
set_list_nat: $tType ).
tff(type_def_366,type,
set_list_int: $tType ).
tff(type_def_367,type,
fun_complex_bool: $tType ).
tff(type_def_368,type,
set_VEBT_VEBT: $tType ).
tff(type_def_369,type,
fun_nat_complex: $tType ).
tff(type_def_370,type,
fun_int_complex: $tType ).
tff(type_def_371,type,
fun_complex_rat: $tType ).
tff(type_def_372,type,
fun_complex_num: $tType ).
tff(type_def_373,type,
fun_complex_nat: $tType ).
tff(type_def_374,type,
fun_complex_int: $tType ).
tff(type_def_375,type,
set_set_nat: $tType ).
tff(type_def_376,type,
set_Product_unit: $tType ).
tff(type_def_377,type,
fun_char_nat: $tType ).
tff(type_def_378,type,
fun_real_real: $tType ).
tff(type_def_379,type,
fun_nat_char: $tType ).
tff(type_def_380,type,
fun_real_bool: $tType ).
tff(type_def_381,type,
fun_real_rat: $tType ).
tff(type_def_382,type,
fun_real_num: $tType ).
tff(type_def_383,type,
fun_real_nat: $tType ).
tff(type_def_384,type,
fun_real_int: $tType ).
tff(type_def_385,type,
fun_rat_real: $tType ).
tff(type_def_386,type,
fun_nat_real: $tType ).
tff(type_def_387,type,
fun_int_real: $tType ).
tff(type_def_388,type,
fun_bool_bool: $tType ).
tff(type_def_389,type,
list_complex: $tType ).
tff(type_def_390,type,
fun_rat_bool: $tType ).
tff(type_def_391,type,
fun_num_bool: $tType ).
tff(type_def_392,type,
fun_nat_bool: $tType ).
tff(type_def_393,type,
fun_int_bool: $tType ).
tff(type_def_394,type,
fun_bool_int: $tType ).
tff(type_def_395,type,
fun_rat_rat: $tType ).
tff(type_def_396,type,
fun_num_num: $tType ).
tff(type_def_397,type,
fun_num_nat: $tType ).
tff(type_def_398,type,
fun_num_int: $tType ).
tff(type_def_399,type,
fun_nat_rat: $tType ).
tff(type_def_400,type,
fun_nat_num: $tType ).
tff(type_def_401,type,
fun_nat_nat: $tType ).
tff(type_def_402,type,
fun_nat_int: $tType ).
tff(type_def_403,type,
fun_int_rat: $tType ).
tff(type_def_404,type,
fun_int_num: $tType ).
tff(type_def_405,type,
fun_int_nat: $tType ).
tff(type_def_406,type,
fun_int_int: $tType ).
tff(type_def_407,type,
set_complex: $tType ).
tff(type_def_408,type,
filter_real: $tType ).
tff(type_def_409,type,
option_num: $tType ).
tff(type_def_410,type,
option_nat: $tType ).
tff(type_def_411,type,
filter_nat: $tType ).
tff(type_def_412,type,
set_char: $tType ).
tff(type_def_413,type,
list_real: $tType ).
tff(type_def_414,type,
list_bool: $tType ).
tff(type_def_415,type,
set_real: $tType ).
tff(type_def_416,type,
list_num: $tType ).
tff(type_def_417,type,
list_nat: $tType ).
tff(type_def_418,type,
list_int: $tType ).
tff(type_def_419,type,
vEBT_VEBT: $tType ).
tff(type_def_420,type,
set_bool: $tType ).
tff(type_def_421,type,
set_rat: $tType ).
tff(type_def_422,type,
set_num: $tType ).
tff(type_def_423,type,
set_nat: $tType ).
tff(type_def_424,type,
set_int: $tType ).
tff(type_def_425,type,
code_integer: $tType ).
tff(type_def_426,type,
extended_enat: $tType ).
tff(type_def_427,type,
complex: $tType ).
tff(type_def_428,type,
char: $tType ).
tff(type_def_429,type,
real: $tType ).
tff(type_def_430,type,
bool: $tType ).
tff(type_def_431,type,
rat: $tType ).
tff(type_def_432,type,
num: $tType ).
tff(type_def_433,type,
nat: $tType ).
tff(type_def_434,type,
int: $tType ).
tff(func_def_0,type,
aTP_Lamm_a: set_int > fun_int_bool ).
tff(func_def_1,type,
aTP_Lamm_aa: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).
tff(func_def_2,type,
aTP_Lamm_ab: set_complex > fun_complex_bool ).
tff(func_def_3,type,
aTP_Lamm_ac: set_real > fun_real_bool ).
tff(func_def_4,type,
aTP_Lamm_ad: set_list_nat > fun_list_nat_bool ).
tff(func_def_5,type,
aTP_Lamm_ae: set_nat > fun_nat_bool ).
tff(func_def_6,type,
aTP_Lamm_af: complex > fun_complex_complex ).
tff(func_def_7,type,
aTP_Lamm_ag: fun_re7681423839302404990l_real ).
tff(func_def_8,type,
aTP_Lamm_ah: fun_nat_fun_nat_nat ).
tff(func_def_9,type,
aTP_Lamm_ai: fun_int_fun_int_int ).
tff(func_def_10,type,
aTP_Lamm_aj: fun_rat_rat ).
tff(func_def_11,type,
aTP_Lamm_ak: fun_complex_complex ).
tff(func_def_12,type,
aTP_Lamm_al: fun_real_real ).
tff(func_def_13,type,
aTP_Lamm_am: fun_nat_nat ).
tff(func_def_14,type,
aTP_Lamm_an: fun_int_int ).
tff(func_def_15,type,
aTP_Lamm_ao: vEBT_VEBT > fun_nat_fun_nat_bool ).
tff(func_def_16,type,
aTP_Lamm_ap: vEBT_VEBT > fun_nat_fun_nat_bool ).
tff(func_def_17,type,
aTP_Lamm_aq: fun_rat_rat ).
tff(func_def_18,type,
aTP_Lamm_ar: fun_complex_complex ).
tff(func_def_19,type,
aTP_Lamm_as: fun_real_real ).
tff(func_def_20,type,
aTP_Lamm_at: fun_nat_nat ).
tff(func_def_21,type,
aTP_Lamm_au: fun_int_int ).
tff(func_def_22,type,
aTP_Lamm_av: set_int > fun_se6612071603986899387t_bool ).
tff(func_def_23,type,
aTP_Lamm_aw: set_complex > fun_se2973560062716774839x_bool ).
tff(func_def_24,type,
aTP_Lamm_ax: set_real > fun_se2197967325210717499l_bool ).
tff(func_def_25,type,
aTP_Lamm_ay: set_list_nat > fun_se7035039998181355731t_bool ).
tff(func_def_26,type,
aTP_Lamm_az: set_Pr1261947904930325089at_nat > fun_se3305628495172992525t_bool ).
tff(func_def_27,type,
aTP_Lamm_ba: set_nat > fun_se680526843285281907t_bool ).
tff(func_def_28,type,
aTP_Lamm_bb: fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_29,type,
aTP_Lamm_bc: fun_nat_nat > fun_nat_fun_nat_bool ).
tff(func_def_30,type,
aTP_Lamm_bd: set_complex > fun_na376774557589183419x_bool ).
tff(func_def_31,type,
aTP_Lamm_be: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).
tff(func_def_32,type,
aTP_Lamm_bf: set_bool > fun_na205931550456536010l_bool ).
tff(func_def_33,type,
aTP_Lamm_bg: set_int > fun_na7919044170365968317t_bool ).
tff(func_def_34,type,
aTP_Lamm_bh: set_real > fun_na6137814669449589053l_bool ).
tff(func_def_35,type,
aTP_Lamm_bi: set_nat > fun_na5614638261385347865t_bool ).
tff(func_def_36,type,
aTP_Lamm_bj: set_complex > fun_na376774557589183419x_bool ).
tff(func_def_37,type,
aTP_Lamm_bk: set_VEBT_VEBT > fun_na2508794161012263405T_bool ).
tff(func_def_38,type,
aTP_Lamm_bl: set_bool > fun_na205931550456536010l_bool ).
tff(func_def_39,type,
aTP_Lamm_bm: set_int > fun_na7919044170365968317t_bool ).
tff(func_def_40,type,
aTP_Lamm_bn: set_real > fun_na6137814669449589053l_bool ).
tff(func_def_41,type,
aTP_Lamm_bo: set_nat > fun_na5614638261385347865t_bool ).
tff(func_def_42,type,
aTP_Lamm_bp: fun_nat_fun_nat_bool ).
tff(func_def_43,type,
aTP_Lamm_bq: fun_nat_fun_nat_bool ).
tff(func_def_44,type,
aTP_Lamm_br: nat > fun_real_bool ).
tff(func_def_45,type,
aTP_Lamm_bs: nat > fun_complex_bool ).
tff(func_def_46,type,
aTP_Lamm_bt: nat > fun_co1378794544173401837x_bool ).
tff(func_def_47,type,
aTP_Lamm_bu: set_int > fun_fu337402001079966300t_bool ).
tff(func_def_48,type,
aTP_Lamm_bv: set_int > fun_fu163127709195666036t_bool ).
tff(func_def_49,type,
aTP_Lamm_bw: set_real > fun_fu2277326744902863452l_bool ).
tff(func_def_50,type,
aTP_Lamm_bx: set_real > fun_fu6750725090257165812l_bool ).
tff(func_def_51,type,
aTP_Lamm_by: set_nat > fun_fu3052598110916186900t_bool ).
tff(func_def_52,type,
aTP_Lamm_bz: set_nat > fun_fu2971308621445215880t_bool ).
tff(func_def_53,type,
aTP_Lamm_ca: set_complex > fun_fu3810065756161129304x_bool ).
tff(func_def_54,type,
aTP_Lamm_cb: set_complex > fun_fu9216119399439645550x_bool ).
tff(func_def_55,type,
aTP_Lamm_cc: set_int > fun_fu7152481525987436038t_bool ).
tff(func_def_56,type,
aTP_Lamm_cd: set_int > fun_fu5129045444369776328t_bool ).
tff(func_def_57,type,
aTP_Lamm_ce: set_real > fun_fu914841811607101702l_bool ).
tff(func_def_58,type,
aTP_Lamm_cf: set_real > fun_fu7100649987335273288l_bool ).
tff(func_def_59,type,
aTP_Lamm_cg: set_nat > fun_fu4346542433904371390t_bool ).
tff(func_def_60,type,
aTP_Lamm_ch: set_nat > fun_fu8382797250367883996t_bool ).
tff(func_def_61,type,
aTP_Lamm_ci: set_complex > fun_fu5519326811792979714x_bool ).
tff(func_def_62,type,
aTP_Lamm_cj: set_complex > fun_fu3191020621175015362x_bool ).
tff(func_def_63,type,
aTP_Lamm_ck: set_int > fun_fu549321512867696136t_bool ).
tff(func_def_64,type,
aTP_Lamm_cl: set_int > fun_fu3401574108658714444t_bool ).
tff(func_def_65,type,
aTP_Lamm_cm: set_real > fun_fu7376312551830202376l_bool ).
tff(func_def_66,type,
aTP_Lamm_cn: set_real > fun_fu2568719150003003596l_bool ).
tff(func_def_67,type,
aTP_Lamm_co: set_int > fun_fu7152481525987436038t_bool ).
tff(func_def_68,type,
aTP_Lamm_cp: set_int > fun_fu5129045444369776328t_bool ).
tff(func_def_69,type,
aTP_Lamm_cq: set_real > fun_fu914841811607101702l_bool ).
tff(func_def_70,type,
aTP_Lamm_cr: set_real > fun_fu7100649987335273288l_bool ).
tff(func_def_71,type,
aTP_Lamm_cs: set_nat > fun_fu4346542433904371390t_bool ).
tff(func_def_72,type,
aTP_Lamm_ct: set_nat > fun_fu8382797250367883996t_bool ).
tff(func_def_73,type,
aTP_Lamm_cu: set_complex > fun_fu5519326811792979714x_bool ).
tff(func_def_74,type,
aTP_Lamm_cv: set_complex > fun_fu3191020621175015362x_bool ).
tff(func_def_75,type,
aTP_Lamm_cw: set_int > fun_fu549321512867696136t_bool ).
tff(func_def_76,type,
aTP_Lamm_cx: set_int > fun_fu3401574108658714444t_bool ).
tff(func_def_77,type,
aTP_Lamm_cy: set_real > fun_fu7376312551830202376l_bool ).
tff(func_def_78,type,
aTP_Lamm_cz: set_real > fun_fu2568719150003003596l_bool ).
tff(func_def_79,type,
aTP_Lamm_da: set_nat > fun_fu7195134416904984768t_bool ).
tff(func_def_80,type,
aTP_Lamm_db: set_nat > fun_fu8639250699203096928t_bool ).
tff(func_def_81,type,
aTP_Lamm_dc: set_complex > fun_fu6356453956411242500x_bool ).
tff(func_def_82,type,
aTP_Lamm_dd: set_complex > fun_fu5995210064384465734x_bool ).
tff(func_def_83,type,
aTP_Lamm_de: set_int > fun_fu337402001079966300t_bool ).
tff(func_def_84,type,
aTP_Lamm_df: set_int > fun_fu163127709195666036t_bool ).
tff(func_def_85,type,
aTP_Lamm_dg: set_real > fun_fu2277326744902863452l_bool ).
tff(func_def_86,type,
aTP_Lamm_dh: set_real > fun_fu6750725090257165812l_bool ).
tff(func_def_87,type,
aTP_Lamm_di: fun_na4138050610385705875at_nat ).
tff(func_def_88,type,
aTP_Lamm_dj: fun_in1696471567231710611nt_int ).
tff(func_def_89,type,
aTP_Lamm_dk: fun_na4138050610385705875at_nat ).
tff(func_def_90,type,
aTP_Lamm_dl: fun_in1696471567231710611nt_int ).
tff(func_def_91,type,
aTP_Lamm_dm: fun_Pr2602117396471556196at_nat > fun_nat_fun_nat_nat ).
tff(func_def_92,type,
aTP_Lamm_dn: fun_Pr2477239776880934807at_nat > fun_na1668100129766719005at_nat ).
tff(func_def_93,type,
aTP_Lamm_do: fun_Pr248683899324676269t_bool > fun_na4786964484885125043t_bool ).
tff(func_def_94,type,
aTP_Lamm_dp: fun_Pr2478283820680522243nt_int > fun_in1696471567231710611nt_int ).
tff(func_def_95,type,
aTP_Lamm_dq: fun_Pr982841511892225912nt_int > fun_int_fun_int_int ).
tff(func_def_96,type,
aTP_Lamm_dr: fun_nat_fun_nat_bool ).
tff(func_def_97,type,
aTP_Lamm_ds: num > fun_na4138050610385705875at_nat ).
tff(func_def_98,type,
aTP_Lamm_dt: num > fun_in1696471567231710611nt_int ).
tff(func_def_99,type,
aTP_Lamm_du: num > fun_Co2470855966376689427nteger ).
tff(func_def_100,type,
aTP_Lamm_dv: fun_na4138050610385705875at_nat ).
tff(func_def_101,type,
aTP_Lamm_dw: fun_int_fun_int_int ).
tff(func_def_102,type,
aTP_Lamm_dx: fun_nat_fun_nat_bool ).
tff(func_def_103,type,
aTP_Lamm_dy: fun_int_int > fun_int_int ).
tff(func_def_104,type,
aTP_Lamm_dz: fun_nat_real > fun_nat_real ).
tff(func_def_105,type,
aTP_Lamm_ea: fun_int_int > fun_fu923337204662071120nt_int ).
tff(func_def_106,type,
aTP_Lamm_eb: fun_int_int > fun_fu3739269683040691718nt_int ).
tff(func_def_107,type,
aTP_Lamm_ec: fun_complex_complex > fun_fu8998703528969179354omplex ).
tff(func_def_108,type,
aTP_Lamm_ed: fun_complex_complex > fun_fu8084223252616112272omplex ).
tff(func_def_109,type,
aTP_Lamm_ee: fun_nat_nat > fun_fu4413992040155564420at_nat ).
tff(func_def_110,type,
aTP_Lamm_ef: fun_nat_nat > fun_fu2454420574033104442at_nat ).
tff(func_def_111,type,
aTP_Lamm_eg: fun_nat_real > fun_fu163975356400620604t_real ).
tff(func_def_112,type,
aTP_Lamm_eh: fun_nat_real > fun_fu3306995184869731826t_real ).
tff(func_def_113,type,
aTP_Lamm_ei: fun_int_int > fun_int_fun_int_int ).
tff(func_def_114,type,
aTP_Lamm_ej: fun_complex_complex > fun_co7673397065115134084omplex ).
tff(func_def_115,type,
aTP_Lamm_ek: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_116,type,
aTP_Lamm_el: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_117,type,
aTP_Lamm_em: int > fun_fu1143798476471108391nt_int ).
tff(func_def_118,type,
aTP_Lamm_en: complex > fun_fu5956788528830221615omplex ).
tff(func_def_119,type,
aTP_Lamm_eo: nat > fun_fu7002938529518989751at_nat ).
tff(func_def_120,type,
aTP_Lamm_ep: real > fun_fu6899955116716589935t_real ).
tff(func_def_121,type,
aTP_Lamm_eq: fun_int_int > fun_fu1143798476471108391nt_int ).
tff(func_def_122,type,
aTP_Lamm_er: fun_complex_complex > fun_fu5956788528830221615omplex ).
tff(func_def_123,type,
aTP_Lamm_es: fun_nat_nat > fun_fu7002938529518989751at_nat ).
tff(func_def_124,type,
aTP_Lamm_et: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_125,type,
aTP_Lamm_eu: fun_int_int > fun_fu1143798476471108391nt_int ).
tff(func_def_126,type,
aTP_Lamm_ev: fun_complex_complex > fun_fu5956788528830221615omplex ).
tff(func_def_127,type,
aTP_Lamm_ew: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_128,type,
aTP_Lamm_ex: fun_complex_complex > fun_co7673397065115134084omplex ).
tff(func_def_129,type,
aTP_Lamm_ey: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_130,type,
aTP_Lamm_ez: fun_int_int > fun_int_fun_int_int ).
tff(func_def_131,type,
aTP_Lamm_fa: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_132,type,
aTP_Lamm_fb: fun_real_complex > fun_real_bool ).
tff(func_def_133,type,
aTP_Lamm_fc: fun_real_real > fun_real_bool ).
tff(func_def_134,type,
aTP_Lamm_fd: fun_complex_real > fun_complex_bool ).
tff(func_def_135,type,
aTP_Lamm_fe: fun_real_rat > fun_real_bool ).
tff(func_def_136,type,
aTP_Lamm_ff: fun_complex_rat > fun_complex_bool ).
tff(func_def_137,type,
aTP_Lamm_fg: fun_real_nat > fun_real_bool ).
tff(func_def_138,type,
aTP_Lamm_fh: fun_complex_nat > fun_complex_bool ).
tff(func_def_139,type,
aTP_Lamm_fi: fun_real_int > fun_real_bool ).
tff(func_def_140,type,
aTP_Lamm_fj: fun_complex_int > fun_complex_bool ).
tff(func_def_141,type,
aTP_Lamm_fk: fun_nat_complex > fun_nat_bool ).
tff(func_def_142,type,
aTP_Lamm_fl: vEBT_VEBT > fun_fu4141963935195952137T_real ).
tff(func_def_143,type,
aTP_Lamm_fm: complex > fun_fu709861064203714431x_real ).
tff(func_def_144,type,
aTP_Lamm_fn: vEBT_VEBT > fun_fu4463953228700081077BT_rat ).
tff(func_def_145,type,
aTP_Lamm_fo: complex > fun_fu6638204120336560003ex_rat ).
tff(func_def_146,type,
aTP_Lamm_fp: vEBT_VEBT > fun_fu5586652545743564717BT_nat ).
tff(func_def_147,type,
aTP_Lamm_fq: complex > fun_fu2513798379308225899ex_nat ).
tff(func_def_148,type,
aTP_Lamm_fr: vEBT_VEBT > fun_fu7059288016784409353BT_int ).
tff(func_def_149,type,
aTP_Lamm_fs: complex > fun_fu4692242605864086655ex_int ).
tff(func_def_150,type,
aTP_Lamm_ft: vEBT_VEBT > fun_fu4277857625997497611omplex ).
tff(func_def_151,type,
aTP_Lamm_fu: int > fun_fu4328765270694171897t_real ).
tff(func_def_152,type,
aTP_Lamm_fv: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).
tff(func_def_153,type,
aTP_Lamm_fw: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).
tff(func_def_154,type,
aTP_Lamm_fx: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).
tff(func_def_155,type,
aTP_Lamm_fy: fun_int_Code_integer > fun_fu3628599891403802633nteger ).
tff(func_def_156,type,
aTP_Lamm_fz: fun_complex_rat > fun_fu2990765671291504771ex_rat ).
tff(func_def_157,type,
aTP_Lamm_ga: fun_real_rat > fun_fu2598743018846156927al_rat ).
tff(func_def_158,type,
aTP_Lamm_gb: fun_nat_rat > fun_fu8328862064278946247at_rat ).
tff(func_def_159,type,
aTP_Lamm_gc: fun_int_rat > fun_fu1008360527747082367nt_rat ).
tff(func_def_160,type,
aTP_Lamm_gd: fun_complex_real > fun_fu7714627026455246123x_real ).
tff(func_def_161,type,
aTP_Lamm_ge: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_162,type,
aTP_Lamm_gf: fun_nat_rat > fun_nat_rat ).
tff(func_def_163,type,
aTP_Lamm_gg: fun_nat_complex > fun_nat_complex ).
tff(func_def_164,type,
aTP_Lamm_gh: fun_nat_real > fun_nat_real ).
tff(func_def_165,type,
aTP_Lamm_gi: fun_nat_complex > fun_fu40286998686754419omplex ).
tff(func_def_166,type,
aTP_Lamm_gj: fun_nat_rat > fun_fu8328862064278946247at_rat ).
tff(func_def_167,type,
aTP_Lamm_gk: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_168,type,
aTP_Lamm_gl: fun_Pr2602117396471556196at_nat > fun_fu7732904369943091395at_nat ).
tff(func_def_169,type,
aTP_Lamm_gm: fun_complex_nat > fun_fu705315015666092147ex_nat ).
tff(func_def_170,type,
aTP_Lamm_gn: fun_real_nat > fun_fu3214020956574444655al_nat ).
tff(func_def_171,type,
aTP_Lamm_go: fun_int_nat > fun_fu8905809029841901679nt_nat ).
tff(func_def_172,type,
aTP_Lamm_gp: fun_nat_nat > fun_fu7002938529518989751at_nat ).
tff(func_def_173,type,
aTP_Lamm_gq: fun_nat_nat > fun_nat_nat ).
tff(func_def_174,type,
aTP_Lamm_gr: fun_nat_real > fun_nat_real ).
tff(func_def_175,type,
aTP_Lamm_gs: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_176,type,
aTP_Lamm_gt: fun_nat_real > fun_nat_fun_nat_real ).
tff(func_def_177,type,
aTP_Lamm_gu: complex > fun_na1142814060743658952omplex ).
tff(func_def_178,type,
aTP_Lamm_gv: int > fun_nat_fun_nat_int ).
tff(func_def_179,type,
aTP_Lamm_gw: real > fun_nat_fun_nat_real ).
tff(func_def_180,type,
aTP_Lamm_gx: fun_nat_nat > fun_na3244735409550470327at_nat ).
tff(func_def_181,type,
aTP_Lamm_gy: fun_nat_real > fun_na7718645245721260691t_real ).
tff(func_def_182,type,
aTP_Lamm_gz: fun_nat_rat > fun_nat_rat ).
tff(func_def_183,type,
aTP_Lamm_ha: fun_nat_int > fun_nat_int ).
tff(func_def_184,type,
aTP_Lamm_hb: fun_nat_complex > fun_nat_complex ).
tff(func_def_185,type,
aTP_Lamm_hc: fun_nat_rat > fun_nat_rat ).
tff(func_def_186,type,
aTP_Lamm_hd: fun_nat_int > fun_nat_int ).
tff(func_def_187,type,
aTP_Lamm_he: fun_nat_real > fun_nat_real ).
tff(func_def_188,type,
aTP_Lamm_hf: fun_nat_complex > fun_nat_complex ).
tff(func_def_189,type,
aTP_Lamm_hg: fun_nat_rat > fun_nat_rat ).
tff(func_def_190,type,
aTP_Lamm_hh: fun_nat_int > fun_nat_int ).
tff(func_def_191,type,
aTP_Lamm_hi: fun_nat_real > fun_nat_real ).
tff(func_def_192,type,
aTP_Lamm_hj: fun_nat_rat > fun_nat_rat ).
tff(func_def_193,type,
aTP_Lamm_hk: fun_nat_int > fun_nat_int ).
tff(func_def_194,type,
aTP_Lamm_hl: fun_nat_real > fun_nat_real ).
tff(func_def_195,type,
aTP_Lamm_hm: fun_nat_rat > fun_nat_rat ).
tff(func_def_196,type,
aTP_Lamm_hn: fun_nat_int > fun_nat_int ).
tff(func_def_197,type,
aTP_Lamm_ho: fun_nat_complex > fun_nat_complex ).
tff(func_def_198,type,
aTP_Lamm_hp: fun_nat_nat > fun_nat_nat ).
tff(func_def_199,type,
aTP_Lamm_hq: fun_nat_real > fun_nat_real ).
tff(func_def_200,type,
aTP_Lamm_hr: nat > fun_nat_fun_nat_nat ).
tff(func_def_201,type,
aTP_Lamm_hs: rat > fun_rat_fun_nat_rat ).
tff(func_def_202,type,
aTP_Lamm_ht: int > fun_int_fun_nat_int ).
tff(func_def_203,type,
aTP_Lamm_hu: complex > fun_co3258106519541737638omplex ).
tff(func_def_204,type,
aTP_Lamm_hv: nat > fun_nat_fun_nat_nat ).
tff(func_def_205,type,
aTP_Lamm_hw: real > fun_re4238438383274954274t_real ).
tff(func_def_206,type,
aTP_Lamm_hx: fun_nat_fun_nat_rat ).
tff(func_def_207,type,
aTP_Lamm_hy: fun_nat_fun_nat_real ).
tff(func_def_208,type,
aTP_Lamm_hz: fun_nat_fun_nat_int ).
tff(func_def_209,type,
aTP_Lamm_ia: fun_na1142814060743658952omplex ).
tff(func_def_210,type,
aTP_Lamm_ib: fun_nat_fun_nat_nat ).
tff(func_def_211,type,
aTP_Lamm_ic: fun_re4238438383274954274t_real ).
tff(func_def_212,type,
aTP_Lamm_id: fun_re4238438383274954274t_real ).
tff(func_def_213,type,
aTP_Lamm_ie: fun_re4238438383274954274t_real ).
tff(func_def_214,type,
aTP_Lamm_if: fun_nat_complex > fun_nat_real ).
tff(func_def_215,type,
aTP_Lamm_ig: fun_complex_complex > fun_complex_real ).
tff(func_def_216,type,
aTP_Lamm_ih: fun_nat_real > fun_nat_real ).
tff(func_def_217,type,
aTP_Lamm_ii: fun_nat_real ).
tff(func_def_218,type,
aTP_Lamm_ij: rat > fun_ra5513060666784058567at_rat ).
tff(func_def_219,type,
aTP_Lamm_ik: rat > fun_ra5513060666784058567at_rat ).
tff(func_def_220,type,
aTP_Lamm_il: complex > fun_co6883864892131739507omplex ).
tff(func_def_221,type,
aTP_Lamm_im: complex > fun_co6883864892131739507omplex ).
tff(func_def_222,type,
aTP_Lamm_in: real > fun_re4756235295228751087t_real ).
tff(func_def_223,type,
aTP_Lamm_io: real > fun_re4756235295228751087t_real ).
tff(func_def_224,type,
aTP_Lamm_ip: complex > fun_fu40286998686754419omplex ).
tff(func_def_225,type,
aTP_Lamm_iq: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_226,type,
aTP_Lamm_ir: fun_nat_int > fun_fu8464300013002972271at_int ).
tff(func_def_227,type,
aTP_Lamm_is: fun_nat_complex > fun_fu40286998686754419omplex ).
tff(func_def_228,type,
aTP_Lamm_it: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_229,type,
aTP_Lamm_iu: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_230,type,
aTP_Lamm_iv: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_231,type,
aTP_Lamm_iw: fun_rat_fun_rat_bool ).
tff(func_def_232,type,
aTP_Lamm_ix: fun_num_fun_num_bool ).
tff(func_def_233,type,
aTP_Lamm_iy: fun_int_fun_int_bool ).
tff(func_def_234,type,
aTP_Lamm_iz: fun_re1255401033344146673l_bool ).
tff(func_def_235,type,
aTP_Lamm_ja: fun_nat_complex > fun_na1142814060743658952omplex ).
tff(func_def_236,type,
aTP_Lamm_jb: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_237,type,
aTP_Lamm_jc: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_238,type,
aTP_Lamm_jd: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_239,type,
aTP_Lamm_je: fun_nat_complex > fun_co8378349014452122532t_real ).
tff(func_def_240,type,
aTP_Lamm_jf: fun_nat_int > fun_nat_int ).
tff(func_def_241,type,
aTP_Lamm_jg: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_242,type,
aTP_Lamm_jh: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_243,type,
aTP_Lamm_ji: fun_nat_complex > fun_na6632006986671646835omplex ).
tff(func_def_244,type,
aTP_Lamm_jj: fun_nat_real > fun_na5225841814499866095t_real ).
tff(func_def_245,type,
aTP_Lamm_jk: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_246,type,
aTP_Lamm_jl: fun_nat_real > fun_nat_fun_nat_real ).
tff(func_def_247,type,
aTP_Lamm_jm: fun_nat_rat > fun_nat_rat ).
tff(func_def_248,type,
aTP_Lamm_jn: fun_nat_int > fun_nat_int ).
tff(func_def_249,type,
aTP_Lamm_jo: fun_nat_real > fun_nat_real ).
tff(func_def_250,type,
aTP_Lamm_jp: fun_nat_rat > fun_rat_fun_nat_rat ).
tff(func_def_251,type,
aTP_Lamm_jq: fun_nat_int > fun_int_fun_nat_int ).
tff(func_def_252,type,
aTP_Lamm_jr: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_253,type,
aTP_Lamm_js: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_254,type,
aTP_Lamm_jt: real > fun_fu7631928937237476593t_real ).
tff(func_def_255,type,
aTP_Lamm_ju: rat > fun_ra5513060666784058567at_rat ).
tff(func_def_256,type,
aTP_Lamm_jv: rat > fun_ra5513060666784058567at_rat ).
tff(func_def_257,type,
aTP_Lamm_jw: complex > fun_co6883864892131739507omplex ).
tff(func_def_258,type,
aTP_Lamm_jx: complex > fun_co6883864892131739507omplex ).
tff(func_def_259,type,
aTP_Lamm_jy: int > fun_in6793278964266839919at_int ).
tff(func_def_260,type,
aTP_Lamm_jz: int > fun_in6793278964266839919at_int ).
tff(func_def_261,type,
aTP_Lamm_ka: real > fun_re4756235295228751087t_real ).
tff(func_def_262,type,
aTP_Lamm_kb: real > fun_re4756235295228751087t_real ).
tff(func_def_263,type,
aTP_Lamm_kc: rat > fun_na1148497095348402375at_rat ).
tff(func_def_264,type,
aTP_Lamm_kd: complex > fun_na6632006986671646835omplex ).
tff(func_def_265,type,
aTP_Lamm_ke: int > fun_na2382631619178260847at_int ).
tff(func_def_266,type,
aTP_Lamm_kf: real > fun_na5225841814499866095t_real ).
tff(func_def_267,type,
aTP_Lamm_kg: rat > fun_na1148497095348402375at_rat ).
tff(func_def_268,type,
aTP_Lamm_kh: complex > fun_na6632006986671646835omplex ).
tff(func_def_269,type,
aTP_Lamm_ki: int > fun_na2382631619178260847at_int ).
tff(func_def_270,type,
aTP_Lamm_kj: real > fun_na5225841814499866095t_real ).
tff(func_def_271,type,
aTP_Lamm_kk: rat > fun_nat_fun_nat_rat ).
tff(func_def_272,type,
aTP_Lamm_kl: complex > fun_na1142814060743658952omplex ).
tff(func_def_273,type,
aTP_Lamm_km: int > fun_nat_fun_nat_int ).
tff(func_def_274,type,
aTP_Lamm_kn: real > fun_nat_fun_nat_real ).
tff(func_def_275,type,
aTP_Lamm_ko: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_276,type,
aTP_Lamm_kp: fun_nat_real > fun_nat_real ).
tff(func_def_277,type,
aTP_Lamm_kq: fun_nat_real > fun_nat_real ).
tff(func_def_278,type,
aTP_Lamm_kr: fun_nat_real ).
tff(func_def_279,type,
aTP_Lamm_ks: fun_re4238438383274954274t_real ).
tff(func_def_280,type,
aTP_Lamm_kt: real > fun_fu3477889739401271834t_real ).
tff(func_def_281,type,
aTP_Lamm_ku: real > fun_fu5589980185390252312t_real ).
tff(func_def_282,type,
aTP_Lamm_kv: real > fun_fu4806068833880117316t_real ).
tff(func_def_283,type,
aTP_Lamm_kw: real > fun_fu2115079063411676732t_real ).
tff(func_def_284,type,
aTP_Lamm_kx: real > fun_fu4540635375566031512t_real ).
tff(func_def_285,type,
aTP_Lamm_ky: real > fun_fu6899955116716589935t_real ).
tff(func_def_286,type,
aTP_Lamm_kz: fun_re4238438383274954274t_real ).
tff(func_def_287,type,
aTP_Lamm_la: fun_re4238438383274954274t_real ).
tff(func_def_288,type,
aTP_Lamm_lb: fun_re4238438383274954274t_real ).
tff(func_def_289,type,
aTP_Lamm_lc: complex > fun_fu40286998686754419omplex ).
tff(func_def_290,type,
aTP_Lamm_ld: real > fun_fu6899955116716589935t_real ).
tff(func_def_291,type,
aTP_Lamm_le: nat > fun_fu40286998686754419omplex ).
tff(func_def_292,type,
aTP_Lamm_lf: nat > fun_fu6899955116716589935t_real ).
tff(func_def_293,type,
aTP_Lamm_lg: nat > fun_co3258106519541737638omplex ).
tff(func_def_294,type,
aTP_Lamm_lh: nat > fun_re4238438383274954274t_real ).
tff(func_def_295,type,
aTP_Lamm_li: nat > fun_int_fun_nat_int ).
tff(func_def_296,type,
aTP_Lamm_lj: fun_nat_complex > fun_fu40286998686754419omplex ).
tff(func_def_297,type,
aTP_Lamm_lk: fun_nat_complex > fun_se8708249003167407990omplex ).
tff(func_def_298,type,
aTP_Lamm_ll: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_299,type,
aTP_Lamm_lm: fun_nat_real > fun_se2100927751953696370t_real ).
tff(func_def_300,type,
aTP_Lamm_ln: fun_nat_real ).
tff(func_def_301,type,
aTP_Lamm_lo: fun_nat_real > fun_nat_real ).
tff(func_def_302,type,
aTP_Lamm_lp: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_303,type,
aTP_Lamm_lq: fun_re4238438383274954274t_real ).
tff(func_def_304,type,
aTP_Lamm_lr: fun_re4238438383274954274t_real ).
tff(func_def_305,type,
aTP_Lamm_ls: complex > fun_nat_complex ).
tff(func_def_306,type,
aTP_Lamm_lt: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_307,type,
aTP_Lamm_lu: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_308,type,
aTP_Lamm_lv: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_309,type,
aTP_Lamm_lw: fun_nat_complex > fun_co3258106519541737638omplex ).
tff(func_def_310,type,
aTP_Lamm_lx: real > fun_fu6899955116716589935t_real ).
tff(func_def_311,type,
aTP_Lamm_ly: complex > fun_fu40286998686754419omplex ).
tff(func_def_312,type,
aTP_Lamm_lz: rat > fun_nat_rat ).
tff(func_def_313,type,
aTP_Lamm_ma: fun_re4238438383274954274t_real ).
tff(func_def_314,type,
aTP_Lamm_mb: complex > fun_nat_complex ).
tff(func_def_315,type,
aTP_Lamm_mc: rat > fun_nat_fun_rat_rat ).
tff(func_def_316,type,
aTP_Lamm_md: real > fun_na6724076748692969250l_real ).
tff(func_def_317,type,
aTP_Lamm_me: int > fun_nat_fun_int_int ).
tff(func_def_318,type,
aTP_Lamm_mf: complex > fun_na1591161823130732966omplex ).
tff(func_def_319,type,
aTP_Lamm_mg: nat > fun_nat_fun_nat_nat ).
tff(func_def_320,type,
aTP_Lamm_mh: fun_rat_rat ).
tff(func_def_321,type,
aTP_Lamm_mi: fun_real_real ).
tff(func_def_322,type,
aTP_Lamm_mj: fun_int_int ).
tff(func_def_323,type,
aTP_Lamm_mk: fun_nat_nat ).
tff(func_def_324,type,
aTP_Lamm_ml: fun_complex_complex ).
tff(func_def_325,type,
aTP_Lamm_mm: fun_nat_nat ).
tff(func_def_326,type,
aTP_Lamm_mn: fun_nat_int ).
tff(func_def_327,type,
aTP_Lamm_mo: fun_int_int ).
tff(func_def_328,type,
aTP_Lamm_mp: real > fun_fu8384527901749275179omplex ).
tff(func_def_329,type,
aTP_Lamm_mq: int > fun_fu3613808716698379563omplex ).
tff(func_def_330,type,
aTP_Lamm_mr: nat > fun_fu40286998686754419omplex ).
tff(func_def_331,type,
aTP_Lamm_ms: complex > fun_fu5956788528830221615omplex ).
tff(func_def_332,type,
aTP_Lamm_mt: real > fun_fu3077872570260440615l_real ).
tff(func_def_333,type,
aTP_Lamm_mu: int > fun_fu121957152452960295t_real ).
tff(func_def_334,type,
aTP_Lamm_mv: nat > fun_fu6899955116716589935t_real ).
tff(func_def_335,type,
aTP_Lamm_mw: complex > fun_fu7714627026455246123x_real ).
tff(func_def_336,type,
aTP_Lamm_mx: real > fun_fu2598743018846156927al_rat ).
tff(func_def_337,type,
aTP_Lamm_my: int > fun_fu1008360527747082367nt_rat ).
tff(func_def_338,type,
aTP_Lamm_mz: real > fun_fu8384527901749275179omplex ).
tff(func_def_339,type,
aTP_Lamm_na: int > fun_fu3613808716698379563omplex ).
tff(func_def_340,type,
aTP_Lamm_nb: nat > fun_fu40286998686754419omplex ).
tff(func_def_341,type,
aTP_Lamm_nc: complex > fun_fu5956788528830221615omplex ).
tff(func_def_342,type,
aTP_Lamm_nd: real > fun_fu3077872570260440615l_real ).
tff(func_def_343,type,
aTP_Lamm_ne: int > fun_fu121957152452960295t_real ).
tff(func_def_344,type,
aTP_Lamm_nf: nat > fun_fu6899955116716589935t_real ).
tff(func_def_345,type,
aTP_Lamm_ng: complex > fun_fu7714627026455246123x_real ).
tff(func_def_346,type,
aTP_Lamm_nh: real > fun_fu2598743018846156927al_rat ).
tff(func_def_347,type,
aTP_Lamm_ni: int > fun_fu1008360527747082367nt_rat ).
tff(func_def_348,type,
aTP_Lamm_nj: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_349,type,
aTP_Lamm_nk: fun_nat_int > fun_nat_fun_nat_int ).
tff(func_def_350,type,
aTP_Lamm_nl: fun_int_int > fun_nat_fun_int_int ).
tff(func_def_351,type,
aTP_Lamm_nm: fun_nat_nat > fun_fu7002938529518989751at_nat ).
tff(func_def_352,type,
aTP_Lamm_nn: fun_nat_int > fun_fu8464300013002972271at_int ).
tff(func_def_353,type,
aTP_Lamm_no: fun_int_int > fun_fu1143798476471108391nt_int ).
tff(func_def_354,type,
aTP_Lamm_np: fun_nat_int > fun_int_fun_nat_int ).
tff(func_def_355,type,
aTP_Lamm_nq: fun_nat_rat > fun_nat_fun_rat_rat ).
tff(func_def_356,type,
aTP_Lamm_nr: fun_nat_complex > fun_na1591161823130732966omplex ).
tff(func_def_357,type,
aTP_Lamm_ns: fun_nat_real > fun_na6724076748692969250l_real ).
tff(func_def_358,type,
aTP_Lamm_nt: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_359,type,
aTP_Lamm_nu: fun_nat_int > fun_nat_fun_int_int ).
tff(func_def_360,type,
aTP_Lamm_nv: set_int > fun_fu7822069302422884163t_bool ).
tff(func_def_361,type,
aTP_Lamm_nw: fun_int_complex > fun_fu6363802315473983150omplex ).
tff(func_def_362,type,
aTP_Lamm_nx: set_real > fun_fu5874800227564645059l_bool ).
tff(func_def_363,type,
aTP_Lamm_ny: fun_real_complex > fun_fu1393723446858488622omplex ).
tff(func_def_364,type,
aTP_Lamm_nz: set_nat > fun_fu3889889255038636099t_bool ).
tff(func_def_365,type,
aTP_Lamm_oa: fun_nat_complex > fun_fu7905158015251895726omplex ).
tff(func_def_366,type,
aTP_Lamm_ob: set_complex > fun_fu5204410621998794179x_bool ).
tff(func_def_367,type,
aTP_Lamm_oc: fun_complex_complex > fun_fu248857536038387758omplex ).
tff(func_def_368,type,
aTP_Lamm_od: fun_int_real > fun_fu6185597869953674668t_real ).
tff(func_def_369,type,
aTP_Lamm_oe: fun_real_real > fun_fu1760894646116856364l_real ).
tff(func_def_370,type,
aTP_Lamm_of: fun_nat_real > fun_fu9152424228179946668t_real ).
tff(func_def_371,type,
aTP_Lamm_og: fun_complex_real > fun_fu1911030855436031788x_real ).
tff(func_def_372,type,
aTP_Lamm_oh: fun_int_rat > fun_fu2671659548940339672nt_rat ).
tff(func_def_373,type,
aTP_Lamm_oi: fun_real_rat > fun_fu7249360421009165912al_rat ).
tff(func_def_374,type,
aTP_Lamm_oj: real > fun_fu3106432010075488275t_real ).
tff(func_def_375,type,
aTP_Lamm_ok: complex > fun_fu4781654129426620053omplex ).
tff(func_def_376,type,
aTP_Lamm_ol: nat > fun_fu7002938529518989751at_nat ).
tff(func_def_377,type,
aTP_Lamm_om: int > fun_fu4512855384587262995at_int ).
tff(func_def_378,type,
aTP_Lamm_on: int > fun_fu6415725884910174923nt_int ).
tff(func_def_379,type,
aTP_Lamm_oo: fun_nat_int > fun_nat_fun_nat_int ).
tff(func_def_380,type,
aTP_Lamm_op: fun_real_complex > fun_real_bool ).
tff(func_def_381,type,
aTP_Lamm_oq: fun_complex_complex > fun_complex_bool ).
tff(func_def_382,type,
aTP_Lamm_or: fun_real_real > fun_real_bool ).
tff(func_def_383,type,
aTP_Lamm_os: fun_complex_real > fun_complex_bool ).
tff(func_def_384,type,
aTP_Lamm_ot: fun_real_rat > fun_real_bool ).
tff(func_def_385,type,
aTP_Lamm_ou: fun_complex_rat > fun_complex_bool ).
tff(func_def_386,type,
aTP_Lamm_ov: fun_real_nat > fun_real_bool ).
tff(func_def_387,type,
aTP_Lamm_ow: fun_complex_nat > fun_complex_bool ).
tff(func_def_388,type,
aTP_Lamm_ox: fun_real_int > fun_real_bool ).
tff(func_def_389,type,
aTP_Lamm_oy: fun_complex_int > fun_complex_bool ).
tff(func_def_390,type,
aTP_Lamm_oz: fun_nat_int > fun_nat_fun_nat_int ).
tff(func_def_391,type,
aTP_Lamm_pa: fun_nat_int > fun_na7654559027617327379at_int ).
tff(func_def_392,type,
aTP_Lamm_pb: complex > fun_fu6919794090103715845omplex ).
tff(func_def_393,type,
aTP_Lamm_pc: int > fun_fu5467039391162264447omplex ).
tff(func_def_394,type,
aTP_Lamm_pd: real > fun_fu9096511887113981695omplex ).
tff(func_def_395,type,
aTP_Lamm_pe: nat > fun_fu3593947265352647275omplex ).
tff(func_def_396,type,
aTP_Lamm_pf: real > fun_fu9132278742410140537l_real ).
tff(func_def_397,type,
aTP_Lamm_pg: nat > fun_fu1620311477532340197t_real ).
tff(func_def_398,type,
aTP_Lamm_ph: fun_Pr4050773816208733250omplex > fun_fu7180905015247952065t_real ).
tff(func_def_399,type,
aTP_Lamm_pi: fun_complex_complex > fun_fu8968174646369908141x_real ).
tff(func_def_400,type,
aTP_Lamm_pj: fun_real_complex > fun_fu6344110373156359337l_real ).
tff(func_def_401,type,
aTP_Lamm_pk: fun_int_complex > fun_fu3594690983434520489t_real ).
tff(func_def_402,type,
aTP_Lamm_pl: fun_nat_complex > fun_fu7631928937237476593t_real ).
tff(func_def_403,type,
aTP_Lamm_pm: rat > fun_nat_rat ).
tff(func_def_404,type,
aTP_Lamm_pn: fun_re4238438383274954274t_real ).
tff(func_def_405,type,
aTP_Lamm_po: complex > fun_nat_complex ).
tff(func_def_406,type,
aTP_Lamm_pp: fun_nat_fun_nat_nat ).
tff(func_def_407,type,
aTP_Lamm_pq: int > fun_nat_int ).
tff(func_def_408,type,
aTP_Lamm_pr: rat > fun_nat_fun_nat_rat ).
tff(func_def_409,type,
aTP_Lamm_ps: real > fun_nat_fun_nat_real ).
tff(func_def_410,type,
aTP_Lamm_pt: complex > fun_na1142814060743658952omplex ).
tff(func_def_411,type,
aTP_Lamm_pu: nat > fun_nat_fun_nat_nat ).
tff(func_def_412,type,
aTP_Lamm_pv: int > fun_nat_fun_nat_int ).
tff(func_def_413,type,
aTP_Lamm_pw: fun_nat_complex > fun_nat_complex ).
tff(func_def_414,type,
aTP_Lamm_px: fun_nat_real > fun_nat_real ).
tff(func_def_415,type,
aTP_Lamm_py: fun_nat_nat > fun_nat_nat ).
tff(func_def_416,type,
aTP_Lamm_pz: fun_nat_int > fun_nat_int ).
tff(func_def_417,type,
aTP_Lamm_qa: fun_nat_complex > fun_na1591161823130732966omplex ).
tff(func_def_418,type,
aTP_Lamm_qb: fun_nat_rat > fun_nat_fun_rat_rat ).
tff(func_def_419,type,
aTP_Lamm_qc: fun_nat_int > fun_nat_fun_int_int ).
tff(func_def_420,type,
aTP_Lamm_qd: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_421,type,
aTP_Lamm_qe: fun_nat_real > fun_na6724076748692969250l_real ).
tff(func_def_422,type,
aTP_Lamm_qf: rat > fun_nat_rat ).
tff(func_def_423,type,
aTP_Lamm_qg: complex > fun_nat_complex ).
tff(func_def_424,type,
aTP_Lamm_qh: fun_re4238438383274954274t_real ).
tff(func_def_425,type,
aTP_Lamm_qi: fun_nat_fun_nat_nat ).
tff(func_def_426,type,
aTP_Lamm_qj: fun_nat_fun_nat_nat ).
tff(func_def_427,type,
aTP_Lamm_qk: fun_nat_fun_nat_nat ).
tff(func_def_428,type,
aTP_Lamm_ql: nat > fun_nat_fun_nat_nat ).
tff(func_def_429,type,
aTP_Lamm_qm: nat > fun_na3244735409550470327at_nat ).
tff(func_def_430,type,
aTP_Lamm_qn: nat > fun_na3244735409550470327at_nat ).
tff(func_def_431,type,
aTP_Lamm_qo: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_432,type,
aTP_Lamm_qp: fun_nat_nat > fun_fu4413992040155564420at_nat ).
tff(func_def_433,type,
aTP_Lamm_qq: fun_nat_nat > fun_fu4413992040155564420at_nat ).
tff(func_def_434,type,
aTP_Lamm_qr: fun_nat_fun_nat_nat ).
tff(func_def_435,type,
aTP_Lamm_qs: fun_nat_fun_nat_nat ).
tff(func_def_436,type,
aTP_Lamm_qt: nat > fun_nat_complex ).
tff(func_def_437,type,
aTP_Lamm_qu: fun_re1255401033344146673l_bool ).
tff(func_def_438,type,
aTP_Lamm_qv: fun_re1255401033344146673l_bool ).
tff(func_def_439,type,
aTP_Lamm_qw: fun_real_bool ).
tff(func_def_440,type,
aTP_Lamm_qx: fun_re1255401033344146673l_bool ).
tff(func_def_441,type,
aTP_Lamm_qy: fun_real_bool ).
tff(func_def_442,type,
aTP_Lamm_qz: complex > fun_na5941084329111710283x_bool ).
tff(func_def_443,type,
aTP_Lamm_ra: nat > fun_nat_fun_nat_bool ).
tff(func_def_444,type,
aTP_Lamm_rb: complex > fun_real_bool ).
tff(func_def_445,type,
aTP_Lamm_rc: fun_nat_fun_nat_nat ).
tff(func_def_446,type,
aTP_Lamm_rd: fun_int_fun_int_int ).
tff(func_def_447,type,
aTP_Lamm_re: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_448,type,
aTP_Lamm_rf: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_449,type,
aTP_Lamm_rg: fun_Co8521658056209057742er_num ).
tff(func_def_450,type,
aTP_Lamm_rh: fun_Co3583066429914935172er_nat ).
tff(func_def_451,type,
aTP_Lamm_ri: fun_Co1092983284983208416er_int ).
tff(func_def_452,type,
aTP_Lamm_rj: real > fun_int_bool ).
tff(func_def_453,type,
aTP_Lamm_rk: fun_nat_bool ).
tff(func_def_454,type,
aTP_Lamm_rl: fun_nat_bool ).
tff(func_def_455,type,
aTP_Lamm_rm: fun_nat_fun_nat_nat ).
tff(func_def_456,type,
aTP_Lamm_rn: fun_nat_fun_nat_nat ).
tff(func_def_457,type,
aTP_Lamm_ro: code_integer > fun_Co3025358997185726883r_bool ).
tff(func_def_458,type,
aTP_Lamm_rp: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_459,type,
aTP_Lamm_rq: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_460,type,
aTP_Lamm_rr: nat > fun_na4143055713577223196at_nat ).
tff(func_def_461,type,
aTP_Lamm_rs: fun_na1668100129766719005at_nat ).
tff(func_def_462,type,
aTP_Lamm_rt: fun_na4138050610385705875at_nat ).
tff(func_def_463,type,
aTP_Lamm_ru: nat > fun_na3408937105440547634t_bool ).
tff(func_def_464,type,
aTP_Lamm_rv: fun_na4786964484885125043t_bool ).
tff(func_def_465,type,
aTP_Lamm_rw: nat > fun_na3408937105440547634t_bool ).
tff(func_def_466,type,
aTP_Lamm_rx: fun_na4786964484885125043t_bool ).
tff(func_def_467,type,
aTP_Lamm_ry: nat > fun_na4143055713577223196at_nat ).
tff(func_def_468,type,
aTP_Lamm_rz: fun_na1668100129766719005at_nat ).
tff(func_def_469,type,
aTP_Lamm_sa: nat > fun_na4143055713577223196at_nat ).
tff(func_def_470,type,
aTP_Lamm_sb: fun_na1668100129766719005at_nat ).
tff(func_def_471,type,
aTP_Lamm_sc: fun_nat_fun_nat_nat ).
tff(func_def_472,type,
aTP_Lamm_sd: num > fun_num_int ).
tff(func_def_473,type,
aTP_Lamm_se: fun_nat_option_num ).
tff(func_def_474,type,
aTP_Lamm_sf: fun_num_option_num ).
tff(func_def_475,type,
aTP_Lamm_sg: fun_num_option_num ).
tff(func_def_476,type,
aTP_Lamm_sh: num > fun_nat_option_num ).
tff(func_def_477,type,
aTP_Lamm_si: num > fun_nat_option_num ).
tff(func_def_478,type,
aTP_Lamm_sj: nat > fun_num_option_num ).
tff(func_def_479,type,
aTP_Lamm_sk: nat > fun_num_option_num ).
tff(func_def_480,type,
aTP_Lamm_sl: num > fun_nat_option_num ).
tff(func_def_481,type,
aTP_Lamm_sm: fun_na7595719129879163854on_num ).
tff(func_def_482,type,
aTP_Lamm_sn: fun_nat_fun_nat_nat ).
tff(func_def_483,type,
aTP_Lamm_so: fun_nat_fun_nat_nat ).
tff(func_def_484,type,
aTP_Lamm_sp: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_485,type,
aTP_Lamm_sq: fun_nat_fun_nat_nat ).
tff(func_def_486,type,
aTP_Lamm_sr: fun_nat_real > fun_nat_real ).
tff(func_def_487,type,
aTP_Lamm_ss: fun_na6724076748692969250l_real ).
tff(func_def_488,type,
aTP_Lamm_st: fun_na6724076748692969250l_real ).
tff(func_def_489,type,
aTP_Lamm_su: fun_real_real > fun_na6724076748692969250l_real ).
tff(func_def_490,type,
aTP_Lamm_sv: fun_re7681423839302404990l_real ).
tff(func_def_491,type,
aTP_Lamm_sw: fun_real_real > fun_re7681423839302404990l_real ).
tff(func_def_492,type,
aTP_Lamm_sx: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_493,type,
aTP_Lamm_sy: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).
tff(func_def_494,type,
aTP_Lamm_sz: fun_re4238438383274954274t_real > fun_real_real ).
tff(func_def_495,type,
aTP_Lamm_ta: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_496,type,
aTP_Lamm_tb: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_497,type,
aTP_Lamm_tc: fun_nat_real > fun_real_real ).
tff(func_def_498,type,
aTP_Lamm_td: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).
tff(func_def_499,type,
aTP_Lamm_te: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).
tff(func_def_500,type,
aTP_Lamm_tf: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).
tff(func_def_501,type,
aTP_Lamm_tg: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).
tff(func_def_502,type,
aTP_Lamm_th: nat > fun_fu3612569900928539882l_real ).
tff(func_def_503,type,
aTP_Lamm_ti: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).
tff(func_def_504,type,
aTP_Lamm_tj: fun_real_real ).
tff(func_def_505,type,
aTP_Lamm_tk: fun_re4238438383274954274t_real ).
tff(func_def_506,type,
aTP_Lamm_tl: fun_real_real ).
tff(func_def_507,type,
aTP_Lamm_tm: fun_nat_real > fun_nat_real ).
tff(func_def_508,type,
aTP_Lamm_tn: fun_nat_real ).
tff(func_def_509,type,
aTP_Lamm_to: fun_nat_real > fun_nat_real ).
tff(func_def_510,type,
aTP_Lamm_tp: fun_nat_real ).
tff(func_def_511,type,
aTP_Lamm_tq: fun_re4238438383274954274t_real ).
tff(func_def_512,type,
aTP_Lamm_tr: fun_nat_real ).
tff(func_def_513,type,
aTP_Lamm_ts: fun_re4238438383274954274t_real ).
tff(func_def_514,type,
aTP_Lamm_tt: real > fun_re4238438383274954274t_real ).
tff(func_def_515,type,
aTP_Lamm_tu: fun_re4238438383274954274t_real ).
tff(func_def_516,type,
aTP_Lamm_tv: fun_re4238438383274954274t_real ).
tff(func_def_517,type,
aTP_Lamm_tw: fun_re4238438383274954274t_real ).
tff(func_def_518,type,
aTP_Lamm_tx: fun_re4238438383274954274t_real ).
tff(func_def_519,type,
aTP_Lamm_ty: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_520,type,
aTP_Lamm_tz: fun_nat_real > fun_fu6119738925743952495t_real ).
tff(func_def_521,type,
aTP_Lamm_ua: fun_nat_real > fun_nat_real ).
tff(func_def_522,type,
aTP_Lamm_ub: fun_nat_real > fun_nat_real ).
tff(func_def_523,type,
aTP_Lamm_uc: fun_nat_real > fun_nat_real ).
tff(func_def_524,type,
aTP_Lamm_ud: fun_re7681423839302404990l_real ).
tff(func_def_525,type,
aTP_Lamm_ue: nat > fun_fu3077872570260440615l_real ).
tff(func_def_526,type,
aTP_Lamm_uf: fun_real_real ).
tff(func_def_527,type,
aTP_Lamm_ug: fun_na6724076748692969250l_real ).
tff(func_def_528,type,
aTP_Lamm_uh: fun_re7681423839302404990l_real ).
tff(func_def_529,type,
aTP_Lamm_ui: fun_real_real > fun_real_bool ).
tff(func_def_530,type,
aTP_Lamm_uj: fun_real_real > fun_fu7376312551830202376l_bool ).
tff(func_def_531,type,
aTP_Lamm_uk: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_532,type,
aTP_Lamm_ul: fun_nat_bool > fun_nat_bool ).
tff(func_def_533,type,
aTP_Lamm_um: fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_534,type,
aTP_Lamm_un: real > fun_re1255401033344146673l_bool ).
tff(func_def_535,type,
aTP_Lamm_uo: fun_real_bool > fun_re1255401033344146673l_bool ).
tff(func_def_536,type,
aTP_Lamm_up: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_537,type,
aTP_Lamm_uq: nat > fun_li8232715659020003717t_bool ).
tff(func_def_538,type,
aTP_Lamm_ur: fun_real_real > fun_real_real ).
tff(func_def_539,type,
aTP_Lamm_us: fun_real_real > fun_real_real ).
tff(func_def_540,type,
aTP_Lamm_ut: real > fun_re1255401033344146673l_bool ).
tff(func_def_541,type,
aTP_Lamm_uu: fun_re5512370375968561900l_real ).
tff(func_def_542,type,
aTP_Lamm_uv: real > fun_co1378794544173401837x_bool ).
tff(func_def_543,type,
aTP_Lamm_uw: fun_re3844104906058862192omplex ).
tff(func_def_544,type,
aTP_Lamm_ux: fun_nat_fun_nat_nat ).
tff(func_def_545,type,
aTP_Lamm_uy: fun_re7681423839302404990l_real ).
tff(func_def_546,type,
aTP_Lamm_uz: fun_re7681423839302404990l_real ).
tff(func_def_547,type,
aTP_Lamm_va: fun_nat_real > fun_fu3106432010075488275t_real ).
tff(func_def_548,type,
aTP_Lamm_vb: fun_nat_fun_nat_bool ).
tff(func_def_549,type,
aTP_Lamm_vc: fun_real_bool ).
tff(func_def_550,type,
aTP_Lamm_vd: fun_real_bool ).
tff(func_def_551,type,
aTP_Lamm_ve: fun_nat_fun_nat_nat ).
tff(func_def_552,type,
aTP_Lamm_vf: fun_nat_nat ).
tff(func_def_553,type,
aTP_Lamm_vg: nat > fun_na5614638261385347865t_bool ).
tff(func_def_554,type,
aTP_Lamm_vh: nat > fun_na5614638261385347865t_bool ).
tff(func_def_555,type,
aTP_Lamm_vi: nat > fun_na5614638261385347865t_bool ).
tff(func_def_556,type,
aTP_Lamm_vj: nat > fun_nat_fun_nat_bool ).
tff(func_def_557,type,
aTP_Lamm_vk: nat > fun_nat_set_nat ).
tff(func_def_558,type,
aTP_Lamm_vl: nat > fun_nat_set_nat ).
tff(func_def_559,type,
aTP_Lamm_vm: nat > fun_nat_set_nat ).
tff(func_def_560,type,
aTP_Lamm_vn: nat > fun_nat_fun_nat_bool ).
tff(func_def_561,type,
aTP_Lamm_vo: set_real > fun_real_bool ).
tff(func_def_562,type,
aTP_Lamm_vp: nat > fun_nat_set_nat ).
tff(func_def_563,type,
aTP_Lamm_vq: nat > fun_nat_set_nat ).
tff(func_def_564,type,
aTP_Lamm_vr: int > fun_in2204242111582549184nt_int ).
tff(func_def_565,type,
aTP_Lamm_vs: rat > fun_in1696471567231710611nt_int ).
tff(func_def_566,type,
aTP_Lamm_vt: nat > fun_nat_fun_nat_bool ).
tff(func_def_567,type,
archim2889992004027027881ng_rat: rat > int ).
tff(func_def_568,type,
archim7802044766580827645g_real: fun_real_int ).
tff(func_def_569,type,
archim3151403230148437115or_rat: rat > int ).
tff(func_def_570,type,
archim6058952711729229775r_real: fun_real_int ).
tff(func_def_571,type,
archimedean_frac_rat: rat > rat ).
tff(func_def_572,type,
archim2898591450579166408c_real: fun_real_real ).
tff(func_def_573,type,
archim7778729529865785530nd_rat: rat > int ).
tff(func_def_574,type,
archim8280529875227126926d_real: fun_real_int ).
tff(func_def_575,type,
bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
tff(func_def_576,type,
bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
tff(func_def_577,type,
bNF_We3818239936649020644el_nat: fun_se8074476271188067385t_bool ).
tff(func_def_578,type,
binomial: fun_nat_fun_nat_nat ).
tff(func_def_579,type,
gbinomial_complex: complex > fun_nat_complex ).
tff(func_def_580,type,
gbinomial_int: int > fun_nat_int ).
tff(func_def_581,type,
gbinomial_nat: fun_nat_fun_nat_nat ).
tff(func_def_582,type,
gbinomial_rat: rat > fun_nat_rat ).
tff(func_def_583,type,
gbinomial_real: fun_re4238438383274954274t_real ).
tff(func_def_584,type,
bit_and_int_rel: fun_Pr3099820731930151597t_bool ).
tff(func_def_585,type,
bit_and_not_num: ( num * num ) > option_num ).
tff(func_def_586,type,
bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_587,type,
bit_concat_bit: nat > fun_int_fun_int_int ).
tff(func_def_588,type,
bit_or_not_num_neg: fun_num_fun_num_num ).
tff(func_def_589,type,
bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_590,type,
bit_ri7919022796975470100ot_int: fun_int_int ).
tff(func_def_591,type,
bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_592,type,
bit_ri631733984087533419it_int: nat > fun_int_int ).
tff(func_def_593,type,
bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_594,type,
bit_se725231765392027082nd_int: fun_int_fun_int_int ).
tff(func_def_595,type,
bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).
tff(func_def_596,type,
bit_se8568078237143864401it_int: nat > fun_int_int ).
tff(func_def_597,type,
bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).
tff(func_def_598,type,
bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_599,type,
bit_se2159334234014336723it_int: nat > fun_int_int ).
tff(func_def_600,type,
bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).
tff(func_def_601,type,
bit_se2119862282449309892nteger: fun_nat_Code_integer ).
tff(func_def_602,type,
bit_se2000444600071755411sk_int: fun_nat_int ).
tff(func_def_603,type,
bit_se2002935070580805687sk_nat: fun_nat_nat ).
tff(func_def_604,type,
bit_se1080825931792720795nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_605,type,
bit_se1409905431419307370or_int: fun_int_fun_int_int ).
tff(func_def_606,type,
bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).
tff(func_def_607,type,
bit_se545348938243370406it_int: nat > fun_int_int ).
tff(func_def_608,type,
bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).
tff(func_def_609,type,
bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_610,type,
bit_se7879613467334960850it_int: nat > fun_int_int ).
tff(func_def_611,type,
bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).
tff(func_def_612,type,
bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_613,type,
bit_se2923211474154528505it_int: nat > fun_int_int ).
tff(func_def_614,type,
bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).
tff(func_def_615,type,
bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_616,type,
bit_se4203085406695923979it_int: nat > fun_int_int ).
tff(func_def_617,type,
bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).
tff(func_def_618,type,
bit_se6526347334894502574or_int: fun_int_fun_int_int ).
tff(func_def_619,type,
bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).
tff(func_def_620,type,
bit_se1146084159140164899it_int: int > fun_nat_bool ).
tff(func_def_621,type,
bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).
tff(func_def_622,type,
bit_take_bit_num: ( nat * num ) > option_num ).
tff(func_def_623,type,
bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).
tff(func_def_624,type,
bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_625,type,
bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).
tff(func_def_626,type,
bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_627,type,
bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).
tff(func_def_628,type,
bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_629,type,
bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).
tff(func_def_630,type,
bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_631,type,
cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_632,type,
cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).
tff(func_def_633,type,
cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_634,type,
cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).
tff(func_def_635,type,
cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_636,type,
code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).
tff(func_def_637,type,
code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_638,type,
code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_639,type,
code_int_of_integer: code_integer > int ).
tff(func_def_640,type,
code_integer_of_int: fun_int_Code_integer ).
tff(func_def_641,type,
code_integer_of_num: num > code_integer ).
tff(func_def_642,type,
code_nat_of_integer: code_integer > nat ).
tff(func_def_643,type,
code_num_of_integer: code_integer > num ).
tff(func_def_644,type,
code_Target_negative: fun_num_int ).
tff(func_def_645,type,
code_Target_positive: fun_num_int ).
tff(func_def_646,type,
comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).
tff(func_def_647,type,
comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).
tff(func_def_648,type,
comple4887499456419720421f_real: set_real > real ).
tff(func_def_649,type,
comple1385675409528146559p_real: set_real > real ).
tff(func_def_650,type,
arg: fun_complex_real ).
tff(func_def_651,type,
cis: fun_real_complex ).
tff(func_def_652,type,
cnj: fun_complex_complex ).
tff(func_def_653,type,
complex2: real > fun_real_complex ).
tff(func_def_654,type,
im: fun_complex_real ).
tff(func_def_655,type,
re: fun_complex_real ).
tff(func_def_656,type,
csqrt: fun_complex_complex ).
tff(func_def_657,type,
imaginary_unit: complex ).
tff(func_def_658,type,
rcis: real > fun_real_complex ).
tff(func_def_659,type,
adjust_div: fun_Pr982841511892225912nt_int ).
tff(func_def_660,type,
adjust_mod: fun_int_fun_int_int ).
tff(func_def_661,type,
divmod_nat: ( nat * nat ) > product_prod_nat_nat ).
tff(func_def_662,type,
eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).
tff(func_def_663,type,
unique6319869463603278526ux_int: fun_Pr803113274115125473t_bool ).
tff(func_def_664,type,
unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).
tff(func_def_665,type,
unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).
tff(func_def_666,type,
unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).
tff(func_def_667,type,
unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).
tff(func_def_668,type,
unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_669,type,
unique5024387138958732305ep_int: num > fun_Pr2478283820680522243nt_int ).
tff(func_def_670,type,
unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).
tff(func_def_671,type,
euclid4774559944035922753ze_int: fun_int_nat ).
tff(func_def_672,type,
euclid4777050414544973029ze_nat: fun_nat_nat ).
tff(func_def_673,type,
euclid3395696857347342551nt_int: fun_int_int ).
tff(func_def_674,type,
comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).
tff(func_def_675,type,
comm_s2602460028002588243omplex: complex > fun_nat_complex ).
tff(func_def_676,type,
comm_s4660882817536571857er_int: int > fun_nat_int ).
tff(func_def_677,type,
comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).
tff(func_def_678,type,
comm_s4028243227959126397er_rat: rat > fun_nat_rat ).
tff(func_def_679,type,
comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).
tff(func_def_680,type,
semiri3624122377584611663nteger: fun_nat_Code_integer ).
tff(func_def_681,type,
semiri5044797733671781792omplex: fun_nat_complex ).
tff(func_def_682,type,
semiri1406184849735516958ct_int: fun_nat_int ).
tff(func_def_683,type,
semiri1408675320244567234ct_nat: fun_nat_nat ).
tff(func_def_684,type,
semiri773545260158071498ct_rat: fun_nat_rat ).
tff(func_def_685,type,
semiri2265585572941072030t_real: fun_nat_real ).
tff(func_def_686,type,
invers8013647133539491842omplex: fun_complex_complex ).
tff(func_def_687,type,
inverse_inverse_rat: rat > rat ).
tff(func_def_688,type,
inverse_inverse_real: fun_real_real ).
tff(func_def_689,type,
at_bot_real: filter_real ).
tff(func_def_690,type,
at_top_nat: filter_nat ).
tff(func_def_691,type,
at_top_real: filter_real ).
tff(func_def_692,type,
filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).
tff(func_def_693,type,
princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).
tff(func_def_694,type,
princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).
tff(func_def_695,type,
prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).
tff(func_def_696,type,
finite_card_complex: set_complex > nat ).
tff(func_def_697,type,
finite_card_bool: set_bool > nat ).
tff(func_def_698,type,
finite_card_int: set_int > nat ).
tff(func_def_699,type,
finite_card_list_nat: set_list_nat > nat ).
tff(func_def_700,type,
finite_card_nat: set_nat > nat ).
tff(func_def_701,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
tff(func_def_702,type,
finite_card_char: set_char > nat ).
tff(func_def_703,type,
finite3207457112153483333omplex: fun_set_complex_bool ).
tff(func_def_704,type,
finite_finite_int: fun_set_int_bool ).
tff(func_def_705,type,
finite_finite_nat: fun_set_nat_bool ).
tff(func_def_706,type,
finite_finite_num: fun_set_num_bool ).
tff(func_def_707,type,
finite6177210948735845034at_nat: fun_se8074476271188067385t_bool ).
tff(func_def_708,type,
finite_finite_rat: fun_set_rat_bool ).
tff(func_def_709,type,
finite_finite_real: fun_set_real_bool ).
tff(func_def_710,type,
finite5795047828879050333T_VEBT: fun_se448528567104302406T_bool ).
tff(func_def_711,type,
bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_bool ).
tff(func_def_712,type,
bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_bool ).
tff(func_def_713,type,
bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).
tff(func_def_714,type,
comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).
tff(func_def_715,type,
comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).
tff(func_def_716,type,
comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).
tff(func_def_717,type,
comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_718,type,
comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).
tff(func_def_719,type,
comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).
tff(func_def_720,type,
id_bool: fun_bool_bool ).
tff(func_def_721,type,
id_nat: fun_nat_nat ).
tff(func_def_722,type,
inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).
tff(func_def_723,type,
inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).
tff(func_def_724,type,
inj_on_real_real: fun_real_real > fun_set_real_bool ).
tff(func_def_725,type,
map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).
tff(func_def_726,type,
map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).
tff(func_def_727,type,
map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).
tff(func_def_728,type,
map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).
tff(func_def_729,type,
map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).
tff(func_def_730,type,
strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).
tff(func_def_731,type,
the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).
tff(func_def_732,type,
fun_pair_leq: set_Pr8693737435421807431at_nat ).
tff(func_def_733,type,
fun_pair_less: set_Pr8693737435421807431at_nat ).
tff(func_def_734,type,
gcd_Gcd_nat: set_nat > nat ).
tff(func_def_735,type,
bezw: ( nat * nat ) > product_prod_int_int ).
tff(func_def_736,type,
bezw_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_737,type,
gcd_gcd_int: fun_int_fun_int_int ).
tff(func_def_738,type,
gcd_gcd_nat: fun_nat_fun_nat_nat ).
tff(func_def_739,type,
gcd_nat_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_740,type,
abs_abs_Code_integer: code_integer > code_integer ).
tff(func_def_741,type,
abs_abs_complex: fun_complex_complex ).
tff(func_def_742,type,
abs_abs_int: fun_int_int ).
tff(func_def_743,type,
abs_abs_rat: rat > rat ).
tff(func_def_744,type,
abs_abs_real: fun_real_real ).
tff(func_def_745,type,
minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_746,type,
minus_minus_complex: complex > fun_complex_complex ).
tff(func_def_747,type,
minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_748,type,
minus_minus_int: fun_int_fun_int_int ).
tff(func_def_749,type,
minus_minus_nat: fun_nat_fun_nat_nat ).
tff(func_def_750,type,
minus_minus_rat: ( rat * rat ) > rat ).
tff(func_def_751,type,
minus_minus_real: fun_re7681423839302404990l_real ).
tff(func_def_752,type,
minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).
tff(func_def_753,type,
minus_minus_set_int: ( set_int * set_int ) > set_int ).
tff(func_def_754,type,
minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).
tff(func_def_755,type,
minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).
tff(func_def_756,type,
minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_757,type,
minus_minus_set_real: ( set_real * set_real ) > set_real ).
tff(func_def_758,type,
minus_5127226145743854075T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).
tff(func_def_759,type,
minus_5423061390740260265x_bool: ( fun_complex_bool * fun_complex_bool ) > fun_complex_bool ).
tff(func_def_760,type,
minus_7727386867957376939t_bool: ( fun_int_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_761,type,
minus_8064998606961450743t_bool: ( fun_list_nat_bool * fun_list_nat_bool ) > fun_list_nat_bool ).
tff(func_def_762,type,
minus_1628305797571225351t_bool: ( fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_763,type,
minus_5597117856863188850t_bool: ( fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_764,type,
minus_6582619742941512235l_bool: ( fun_real_bool * fun_real_bool ) > fun_real_bool ).
tff(func_def_765,type,
one_one_Code_integer: code_integer ).
tff(func_def_766,type,
one_one_complex: complex ).
tff(func_def_767,type,
one_on7984719198319812577d_enat: extended_enat ).
tff(func_def_768,type,
one_one_int: int ).
tff(func_def_769,type,
one_one_nat: nat ).
tff(func_def_770,type,
one_one_rat: rat ).
tff(func_def_771,type,
one_one_real: real ).
tff(func_def_772,type,
plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_773,type,
plus_plus_complex: complex > fun_complex_complex ).
tff(func_def_774,type,
plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_775,type,
plus_plus_int: fun_int_fun_int_int ).
tff(func_def_776,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(func_def_777,type,
plus_plus_num: fun_num_fun_num_num ).
tff(func_def_778,type,
plus_plus_rat: rat > fun_rat_rat ).
tff(func_def_779,type,
plus_plus_real: fun_re7681423839302404990l_real ).
tff(func_def_780,type,
sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).
tff(func_def_781,type,
sgn_sgn_complex: fun_complex_complex ).
tff(func_def_782,type,
sgn_sgn_int: fun_int_int ).
tff(func_def_783,type,
sgn_sgn_real: fun_real_real ).
tff(func_def_784,type,
times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).
tff(func_def_785,type,
times_times_complex: complex > fun_complex_complex ).
tff(func_def_786,type,
times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_787,type,
times_times_int: fun_int_fun_int_int ).
tff(func_def_788,type,
times_times_nat: fun_nat_fun_nat_nat ).
tff(func_def_789,type,
times_times_num: fun_num_fun_num_num ).
tff(func_def_790,type,
times_times_rat: rat > fun_rat_rat ).
tff(func_def_791,type,
times_times_real: fun_re7681423839302404990l_real ).
tff(func_def_792,type,
uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).
tff(func_def_793,type,
uminus1482373934393186551omplex: fun_complex_complex ).
tff(func_def_794,type,
uminus_uminus_int: fun_int_int ).
tff(func_def_795,type,
uminus_uminus_rat: rat > rat ).
tff(func_def_796,type,
uminus_uminus_real: fun_real_real ).
tff(func_def_797,type,
uminus1532241313380277803et_int: set_int > set_int ).
tff(func_def_798,type,
uminus5710092332889474511et_nat: set_nat > set_nat ).
tff(func_def_799,type,
uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
tff(func_def_800,type,
uminus612125837232591019t_real: set_real > set_real ).
tff(func_def_801,type,
uminus8041839845116263051T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT ).
tff(func_def_802,type,
zero_z3403309356797280102nteger: code_integer ).
tff(func_def_803,type,
zero_zero_complex: complex ).
tff(func_def_804,type,
zero_z5237406670263579293d_enat: extended_enat ).
tff(func_def_805,type,
zero_zero_int: int ).
tff(func_def_806,type,
zero_zero_nat: nat ).
tff(func_def_807,type,
zero_zero_rat: rat ).
tff(func_def_808,type,
zero_zero_real: real ).
tff(func_def_809,type,
groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).
tff(func_def_810,type,
groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).
tff(func_def_811,type,
groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).
tff(func_def_812,type,
groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).
tff(func_def_813,type,
groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).
tff(func_def_814,type,
groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).
tff(func_def_815,type,
groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).
tff(func_def_816,type,
groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).
tff(func_def_817,type,
groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).
tff(func_def_818,type,
groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).
tff(func_def_819,type,
groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).
tff(func_def_820,type,
groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).
tff(func_def_821,type,
groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).
tff(func_def_822,type,
groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).
tff(func_def_823,type,
groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).
tff(func_def_824,type,
groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).
tff(func_def_825,type,
groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).
tff(func_def_826,type,
groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).
tff(func_def_827,type,
groups6381953495645901045omplex: ( fun_Pr4050773816208733250omplex * set_Pr1261947904930325089at_nat ) > complex ).
tff(func_def_828,type,
groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).
tff(func_def_829,type,
groups342789780944988191at_rat: ( fun_Pr8317260874932935276at_rat * set_Pr1261947904930325089at_nat ) > rat ).
tff(func_def_830,type,
groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).
tff(func_def_831,type,
groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).
tff(func_def_832,type,
groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).
tff(func_def_833,type,
groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).
tff(func_def_834,type,
groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).
tff(func_def_835,type,
groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).
tff(func_def_836,type,
groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).
tff(func_def_837,type,
groups1794756597179926696omplex: ( fun_VE5569070535936029429omplex * set_VEBT_VEBT ) > complex ).
tff(func_def_838,type,
groups769130701875090982BT_int: ( fun_VEBT_VEBT_int * set_VEBT_VEBT ) > int ).
tff(func_def_839,type,
groups771621172384141258BT_nat: ( fun_VEBT_VEBT_nat * set_VEBT_VEBT ) > nat ).
tff(func_def_840,type,
groups136491112297645522BT_rat: ( fun_VEBT_VEBT_rat * set_VEBT_VEBT ) > rat ).
tff(func_def_841,type,
groups2240296850493347238T_real: ( fun_VEBT_VEBT_real * set_VEBT_VEBT ) > real ).
tff(func_def_842,type,
groups8682486955453173170nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).
tff(func_def_843,type,
groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).
tff(func_def_844,type,
groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).
tff(func_def_845,type,
groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).
tff(func_def_846,type,
groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).
tff(func_def_847,type,
groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).
tff(func_def_848,type,
groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).
tff(func_def_849,type,
groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).
tff(func_def_850,type,
groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).
tff(func_def_851,type,
groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).
tff(func_def_852,type,
groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).
tff(func_def_853,type,
groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).
tff(func_def_854,type,
groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).
tff(func_def_855,type,
groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).
tff(func_def_856,type,
groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).
tff(func_def_857,type,
groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).
tff(func_def_858,type,
groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).
tff(func_def_859,type,
groups8110221916422527690omplex: ( fun_Pr4050773816208733250omplex * set_Pr1261947904930325089at_nat ) > complex ).
tff(func_def_860,type,
groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).
tff(func_def_861,type,
groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).
tff(func_def_862,type,
groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).
tff(func_def_863,type,
groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).
tff(func_def_864,type,
groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).
tff(func_def_865,type,
groups127312072573709053omplex: ( fun_VE5569070535936029429omplex * set_VEBT_VEBT ) > complex ).
tff(func_def_866,type,
groups2703838992350267259T_real: ( fun_VEBT_VEBT_real * set_VEBT_VEBT ) > real ).
tff(func_def_867,type,
groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).
tff(func_def_868,type,
groups4561878855575611511st_nat: list_nat > nat ).
tff(func_def_869,type,
the_int: fun_int_bool > int ).
tff(func_def_870,type,
the_real: fun_real_bool > real ).
tff(func_def_871,type,
if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).
tff(func_def_872,type,
if_complex: ( bool * complex ) > fun_complex_complex ).
tff(func_def_873,type,
if_int: bool > fun_int_fun_int_int ).
tff(func_def_874,type,
if_nat: bool > fun_nat_fun_nat_nat ).
tff(func_def_875,type,
if_num: bool > fun_num_fun_num_num ).
tff(func_def_876,type,
if_option_nat: ( bool * option_nat * option_nat ) > option_nat ).
tff(func_def_877,type,
if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_878,type,
if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).
tff(func_def_879,type,
if_Pro6206227464963214023at_nat: bool > fun_Pr2477239776880934807at_nat ).
tff(func_def_880,type,
if_rat: ( bool * rat * rat ) > rat ).
tff(func_def_881,type,
if_real: bool > fun_re7681423839302404990l_real ).
tff(func_def_882,type,
if_VEBT_VEBT: ( bool * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_883,type,
if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).
tff(func_def_884,type,
infini8530281810654367211te_nat: set_nat > fun_nat_nat ).
tff(func_def_885,type,
abs_Integ: fun_Pr7647638413817135296at_int ).
tff(func_def_886,type,
rep_Integ: fun_in4514472496968388910at_nat ).
tff(func_def_887,type,
nat2: fun_int_nat ).
tff(func_def_888,type,
power_int_real: real > fun_int_real ).
tff(func_def_889,type,
ring_1_Ints_real: set_real ).
tff(func_def_890,type,
ring_18347121197199848620nteger: fun_int_Code_integer ).
tff(func_def_891,type,
ring_17405671764205052669omplex: fun_int_complex ).
tff(func_def_892,type,
ring_1_of_int_int: fun_int_int ).
tff(func_def_893,type,
ring_1_of_int_rat: fun_int_rat ).
tff(func_def_894,type,
ring_1_of_int_real: fun_int_real ).
tff(func_def_895,type,
inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).
tff(func_def_896,type,
inf_inf_nat: fun_nat_fun_nat_nat ).
tff(func_def_897,type,
inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_898,type,
sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).
tff(func_def_899,type,
sup_sup_nat: fun_nat_fun_nat_nat ).
tff(func_def_900,type,
sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).
tff(func_def_901,type,
sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_902,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
tff(func_def_903,type,
append_int: ( list_int * list_int ) > list_int ).
tff(func_def_904,type,
append_nat: ( list_nat * list_nat ) > list_nat ).
tff(func_def_905,type,
drop_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_906,type,
last_nat: list_nat > nat ).
tff(func_def_907,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
tff(func_def_908,type,
cons_int: ( int * list_int ) > list_int ).
tff(func_def_909,type,
cons_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_910,type,
nil_int: list_int ).
tff(func_def_911,type,
nil_nat: list_nat ).
tff(func_def_912,type,
hd_nat: list_nat > nat ).
tff(func_def_913,type,
map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).
tff(func_def_914,type,
set_complex2: list_complex > set_complex ).
tff(func_def_915,type,
set_bool2: list_bool > set_bool ).
tff(func_def_916,type,
set_int2: list_int > set_int ).
tff(func_def_917,type,
set_nat2: list_nat > set_nat ).
tff(func_def_918,type,
set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).
tff(func_def_919,type,
set_real2: list_real > set_real ).
tff(func_def_920,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
tff(func_def_921,type,
size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).
tff(func_def_922,type,
tl_nat: list_nat > list_nat ).
tff(func_def_923,type,
list_update_complex: ( list_complex * nat * complex ) > list_complex ).
tff(func_def_924,type,
list_update_bool: ( list_bool * nat * bool ) > list_bool ).
tff(func_def_925,type,
list_update_int: ( list_int * nat * int ) > list_int ).
tff(func_def_926,type,
list_update_nat: ( list_nat * nat * nat ) > list_nat ).
tff(func_def_927,type,
list_u6180841689913720943at_nat: ( list_P6011104703257516679at_nat * nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).
tff(func_def_928,type,
list_update_real: ( list_real * nat * real ) > list_real ).
tff(func_def_929,type,
list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_930,type,
nth_complex: list_complex > fun_nat_complex ).
tff(func_def_931,type,
nth_bool: list_bool > fun_nat_bool ).
tff(func_def_932,type,
nth_int: list_int > fun_nat_int ).
tff(func_def_933,type,
nth_nat: list_nat > fun_nat_nat ).
tff(func_def_934,type,
nth_num: list_num > fun_nat_num ).
tff(func_def_935,type,
nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).
tff(func_def_936,type,
nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).
tff(func_def_937,type,
nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).
tff(func_def_938,type,
nth_Pr3250499561091541003T_VEBT: ( list_P5912569763298001674T_VEBT * nat ) > produc8408751633324799108T_VEBT ).
tff(func_def_939,type,
nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).
tff(func_def_940,type,
nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).
tff(func_def_941,type,
nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).
tff(func_def_942,type,
nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).
tff(func_def_943,type,
nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).
tff(func_def_944,type,
nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).
tff(func_def_945,type,
nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).
tff(func_def_946,type,
nth_real: list_real > fun_nat_real ).
tff(func_def_947,type,
nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_948,type,
product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).
tff(func_def_949,type,
product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).
tff(func_def_950,type,
product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).
tff(func_def_951,type,
produc2282853104913622818T_VEBT: ( list_bool * list_VEBT_VEBT ) > list_P5912569763298001674T_VEBT ).
tff(func_def_952,type,
product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).
tff(func_def_953,type,
product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).
tff(func_def_954,type,
produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).
tff(func_def_955,type,
product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).
tff(func_def_956,type,
produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).
tff(func_def_957,type,
produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).
tff(func_def_958,type,
produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).
tff(func_def_959,type,
produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).
tff(func_def_960,type,
replicate_complex: ( nat * complex ) > list_complex ).
tff(func_def_961,type,
replicate_bool: ( nat * bool ) > list_bool ).
tff(func_def_962,type,
replicate_int: ( nat * int ) > list_int ).
tff(func_def_963,type,
replicate_nat: ( nat * nat ) > list_nat ).
tff(func_def_964,type,
replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).
tff(func_def_965,type,
replicate_real: ( nat * real ) > list_real ).
tff(func_def_966,type,
replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_967,type,
sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).
tff(func_def_968,type,
take_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_969,type,
upt: ( nat * nat ) > list_nat ).
tff(func_def_970,type,
upto: ( int * int ) > list_int ).
tff(func_def_971,type,
upto_aux: ( int * int * list_int ) > list_int ).
tff(func_def_972,type,
suc: fun_nat_nat ).
tff(func_def_973,type,
compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_974,type,
case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_975,type,
case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_976,type,
case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).
tff(func_def_977,type,
pred: fun_nat_nat ).
tff(func_def_978,type,
semiri4939895301339042750nteger: fun_nat_Code_integer ).
tff(func_def_979,type,
semiri8010041392384452111omplex: fun_nat_complex ).
tff(func_def_980,type,
semiri4216267220026989637d_enat: nat > extended_enat ).
tff(func_def_981,type,
semiri1314217659103216013at_int: fun_nat_int ).
tff(func_def_982,type,
semiri1316708129612266289at_nat: fun_nat_nat ).
tff(func_def_983,type,
semiri681578069525770553at_rat: fun_nat_rat ).
tff(func_def_984,type,
semiri5074537144036343181t_real: fun_nat_real ).
tff(func_def_985,type,
semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).
tff(func_def_986,type,
semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).
tff(func_def_987,type,
semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_988,type,
semiri7787848453975740701ux_rat: ( fun_rat_rat * nat * rat ) > rat ).
tff(func_def_989,type,
semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).
tff(func_def_990,type,
size_s3451745648224563538omplex: list_complex > nat ).
tff(func_def_991,type,
size_size_list_bool: list_bool > nat ).
tff(func_def_992,type,
size_size_list_int: list_int > nat ).
tff(func_def_993,type,
size_size_list_nat: list_nat > nat ).
tff(func_def_994,type,
size_size_list_num: list_num > nat ).
tff(func_def_995,type,
size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).
tff(func_def_996,type,
size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).
tff(func_def_997,type,
size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).
tff(func_def_998,type,
size_s7211631430880329078T_VEBT: list_P5912569763298001674T_VEBT > nat ).
tff(func_def_999,type,
size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).
tff(func_def_1000,type,
size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).
tff(func_def_1001,type,
size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).
tff(func_def_1002,type,
size_s1343096544515248124T_bool: list_P44034876932920720T_bool > nat ).
tff(func_def_1003,type,
size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).
tff(func_def_1004,type,
size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).
tff(func_def_1005,type,
size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).
tff(func_def_1006,type,
size_size_list_real: list_real > nat ).
tff(func_def_1007,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
tff(func_def_1008,type,
size_size_num: fun_num_nat ).
tff(func_def_1009,type,
size_size_option_nat: option_nat > nat ).
tff(func_def_1010,type,
size_size_option_num: option_num > nat ).
tff(func_def_1011,type,
size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).
tff(func_def_1012,type,
size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).
tff(func_def_1013,type,
nat_list_encode: list_nat > nat ).
tff(func_def_1014,type,
nat_list_encode_rel: fun_li8598321315282354825t_bool ).
tff(func_def_1015,type,
nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).
tff(func_def_1016,type,
nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_1017,type,
nat_prod_encode: fun_Pr2602117396471556196at_nat ).
tff(func_def_1018,type,
nat_set_decode: fun_nat_set_nat ).
tff(func_def_1019,type,
nat_set_encode: fun_set_nat_nat ).
tff(func_def_1020,type,
nat_triangle: fun_nat_nat ).
tff(func_def_1021,type,
root: fun_na6724076748692969250l_real ).
tff(func_def_1022,type,
sqrt: fun_real_real ).
tff(func_def_1023,type,
bitM: num > num ).
tff(func_def_1024,type,
inc: num > num ).
tff(func_def_1025,type,
neg_nu8804712462038260780nteger: code_integer > code_integer ).
tff(func_def_1026,type,
neg_nu7009210354673126013omplex: fun_complex_complex ).
tff(func_def_1027,type,
neg_numeral_dbl_int: fun_int_int ).
tff(func_def_1028,type,
neg_numeral_dbl_rat: rat > rat ).
tff(func_def_1029,type,
neg_numeral_dbl_real: fun_real_real ).
tff(func_def_1030,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
tff(func_def_1031,type,
neg_nu6511756317524482435omplex: fun_complex_complex ).
tff(func_def_1032,type,
neg_nu3811975205180677377ec_int: fun_int_int ).
tff(func_def_1033,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
tff(func_def_1034,type,
neg_nu6075765906172075777c_real: fun_real_real ).
tff(func_def_1035,type,
neg_nu5831290666863070958nteger: code_integer > code_integer ).
tff(func_def_1036,type,
neg_nu8557863876264182079omplex: fun_complex_complex ).
tff(func_def_1037,type,
neg_nu5851722552734809277nc_int: fun_int_int ).
tff(func_def_1038,type,
neg_nu5219082963157363817nc_rat: rat > rat ).
tff(func_def_1039,type,
neg_nu8295874005876285629c_real: fun_real_real ).
tff(func_def_1040,type,
neg_numeral_sub_int: ( num * num ) > int ).
tff(func_def_1041,type,
bit0: fun_num_num ).
tff(func_def_1042,type,
bit1: fun_num_num ).
tff(func_def_1043,type,
one: num ).
tff(func_def_1044,type,
case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).
tff(func_def_1045,type,
size_num: fun_num_nat ).
tff(func_def_1046,type,
num_of_nat: fun_nat_num ).
tff(func_def_1047,type,
numera6620942414471956472nteger: num > code_integer ).
tff(func_def_1048,type,
numera6690914467698888265omplex: num > complex ).
tff(func_def_1049,type,
numera1916890842035813515d_enat: num > extended_enat ).
tff(func_def_1050,type,
numeral_numeral_int: fun_num_int ).
tff(func_def_1051,type,
numeral_numeral_nat: fun_num_nat ).
tff(func_def_1052,type,
numeral_numeral_rat: num > rat ).
tff(func_def_1053,type,
numeral_numeral_real: num > real ).
tff(func_def_1054,type,
pow: fun_num_fun_num_num ).
tff(func_def_1055,type,
pred_numeral: fun_num_nat ).
tff(func_def_1056,type,
sqr: num > num ).
tff(func_def_1057,type,
none_nat: option_nat ).
tff(func_def_1058,type,
none_num: option_num ).
tff(func_def_1059,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
tff(func_def_1060,type,
some_nat: nat > option_nat ).
tff(func_def_1061,type,
some_num: num > option_num ).
tff(func_def_1062,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
tff(func_def_1063,type,
case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool ) > fun_op2627489687811228755t_bool ).
tff(func_def_1064,type,
case_option_int_num: ( int * fun_num_int * option_num ) > int ).
tff(func_def_1065,type,
case_option_num_num: ( num * fun_num_num * option_num ) > num ).
tff(func_def_1066,type,
case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).
tff(func_def_1067,type,
map_option_num_num: ( fun_num_num * option_num ) > option_num ).
tff(func_def_1068,type,
size_option_nat: ( fun_nat_nat * option_nat ) > nat ).
tff(func_def_1069,type,
size_option_num: ( fun_num_nat * option_num ) > nat ).
tff(func_def_1070,type,
size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).
tff(func_def_1071,type,
the_nat: option_nat > nat ).
tff(func_def_1072,type,
the_num: option_num > num ).
tff(func_def_1073,type,
the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).
tff(func_def_1074,type,
order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).
tff(func_def_1075,type,
bot_bo4199563552545308370d_enat: extended_enat ).
tff(func_def_1076,type,
bot_bot_nat: nat ).
tff(func_def_1077,type,
bot_bot_set_complex: set_complex ).
tff(func_def_1078,type,
bot_bot_set_int: set_int ).
tff(func_def_1079,type,
bot_bot_set_nat: set_nat ).
tff(func_def_1080,type,
bot_bot_set_num: set_num ).
tff(func_def_1081,type,
bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
tff(func_def_1082,type,
bot_bot_set_rat: set_rat ).
tff(func_def_1083,type,
bot_bot_set_real: set_real ).
tff(func_def_1084,type,
bot_bot_set_set_nat: set_set_nat ).
tff(func_def_1085,type,
bot_bot_set_set_real: set_set_real ).
tff(func_def_1086,type,
bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).
tff(func_def_1087,type,
ord_Least_nat: fun_nat_bool > nat ).
tff(func_def_1088,type,
ord_Least_real: fun_real_bool > real ).
tff(func_def_1089,type,
ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).
tff(func_def_1090,type,
ord_le72135733267957522d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).
tff(func_def_1091,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_1092,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_1093,type,
ord_less_num: fun_num_fun_num_bool ).
tff(func_def_1094,type,
ord_less_rat: fun_rat_fun_rat_bool ).
tff(func_def_1095,type,
ord_less_real: fun_re1255401033344146673l_bool ).
tff(func_def_1096,type,
ord_less_set_complex: set_complex > fun_set_complex_bool ).
tff(func_def_1097,type,
ord_less_set_int: set_int > fun_set_int_bool ).
tff(func_def_1098,type,
ord_less_set_nat: set_nat > fun_set_nat_bool ).
tff(func_def_1099,type,
ord_less_set_num: set_num > fun_set_num_bool ).
tff(func_def_1100,type,
ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > fun_se8074476271188067385t_bool ).
tff(func_def_1101,type,
ord_less_set_rat: set_rat > fun_set_rat_bool ).
tff(func_def_1102,type,
ord_less_set_real: set_real > fun_set_real_bool ).
tff(func_def_1103,type,
ord_le3480810397992357184T_VEBT: set_VEBT_VEBT > fun_se448528567104302406T_bool ).
tff(func_def_1104,type,
ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).
tff(func_def_1105,type,
ord_le2932123472753598470d_enat: extended_enat > fun_Ex8563670519792538868t_bool ).
tff(func_def_1106,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_1107,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_1108,type,
ord_less_eq_num: fun_num_fun_num_bool ).
tff(func_def_1109,type,
ord_less_eq_rat: fun_rat_fun_rat_bool ).
tff(func_def_1110,type,
ord_less_eq_real: fun_re1255401033344146673l_bool ).
tff(func_def_1111,type,
ord_le211207098394363844omplex: set_complex > fun_set_complex_bool ).
tff(func_def_1112,type,
ord_less_eq_set_int: set_int > fun_set_int_bool ).
tff(func_def_1113,type,
ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).
tff(func_def_1114,type,
ord_less_eq_set_num: set_num > fun_set_num_bool ).
tff(func_def_1115,type,
ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > fun_se8074476271188067385t_bool ).
tff(func_def_1116,type,
ord_less_eq_set_real: set_real > fun_set_real_bool ).
tff(func_def_1117,type,
ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > fun_se448528567104302406T_bool ).
tff(func_def_1118,type,
ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).
tff(func_def_1119,type,
ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).
tff(func_def_1120,type,
ord_max_int: fun_int_fun_int_int ).
tff(func_def_1121,type,
ord_max_nat: fun_nat_fun_nat_nat ).
tff(func_def_1122,type,
ord_max_num: fun_num_fun_num_num ).
tff(func_def_1123,type,
ord_max_rat: ( rat * rat ) > rat ).
tff(func_def_1124,type,
ord_max_real: fun_re7681423839302404990l_real ).
tff(func_def_1125,type,
ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).
tff(func_def_1126,type,
ord_max_set_real: ( set_real * set_real ) > set_real ).
tff(func_def_1127,type,
ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).
tff(func_def_1128,type,
ord_min_nat: fun_nat_fun_nat_nat ).
tff(func_def_1129,type,
order_Greatest_nat: fun_nat_bool > nat ).
tff(func_def_1130,type,
ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_1131,type,
top_top_set_bool: set_bool ).
tff(func_def_1132,type,
top_top_set_nat: set_nat ).
tff(func_def_1133,type,
top_to1996260823553986621t_unit: set_Product_unit ).
tff(func_def_1134,type,
top_top_set_real: set_real ).
tff(func_def_1135,type,
top_top_set_char: set_char ).
tff(func_def_1136,type,
power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).
tff(func_def_1137,type,
power_power_complex: complex > fun_nat_complex ).
tff(func_def_1138,type,
power_power_int: int > fun_nat_int ).
tff(func_def_1139,type,
power_power_nat: fun_nat_fun_nat_nat ).
tff(func_def_1140,type,
power_power_rat: rat > fun_nat_rat ).
tff(func_def_1141,type,
power_power_real: fun_re4238438383274954274t_real ).
tff(func_def_1142,type,
produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_1143,type,
produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).
tff(func_def_1144,type,
produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).
tff(func_def_1145,type,
produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).
tff(func_def_1146,type,
produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).
tff(func_def_1147,type,
produc9074556814250467700T_VEBT: ( bool * vEBT_VEBT ) > produc8408751633324799108T_VEBT ).
tff(func_def_1148,type,
product_Pair_int_int: fun_in1696471567231710611nt_int ).
tff(func_def_1149,type,
product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).
tff(func_def_1150,type,
product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).
tff(func_def_1151,type,
produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).
tff(func_def_1152,type,
produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).
tff(func_def_1153,type,
product_Pair_num_num: ( num * num ) > product_prod_num_num ).
tff(func_def_1154,type,
produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).
tff(func_def_1155,type,
produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).
tff(func_def_1156,type,
produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).
tff(func_def_1157,type,
produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).
tff(func_def_1158,type,
produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).
tff(func_def_1159,type,
produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).
tff(func_def_1160,type,
produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).
tff(func_def_1161,type,
produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).
tff(func_def_1162,type,
produc2004789812759622991on_nat: ( fun_nat_fun_nat_bool * produc4953844613479565601on_nat ) > produc3700678068921409119on_nat ).
tff(func_def_1163,type,
produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).
tff(func_def_1164,type,
produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).
tff(func_def_1165,type,
produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).
tff(func_def_1166,type,
produc8433281988922931063on_num: ( fun_num_fun_num_bool * produc3447558737645232053on_num ) > produc6167219322466932359on_num ).
tff(func_def_1167,type,
produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).
tff(func_def_1168,type,
produc5961576194287291153at_nat: ( fun_Pr248683899324676269t_bool * produc6121120109295599847at_nat ) > produc533602882674032673at_nat ).
tff(func_def_1169,type,
produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).
tff(func_def_1170,type,
produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_1171,type,
produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).
tff(func_def_1172,type,
produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).
tff(func_def_1173,type,
produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).
tff(func_def_1174,type,
produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).
tff(func_def_1175,type,
produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_1176,type,
produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).
tff(func_def_1177,type,
produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).
tff(func_def_1178,type,
produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).
tff(func_def_1179,type,
produc8211389475949308722nt_int: fun_int_fun_int_int > fun_Pr982841511892225912nt_int ).
tff(func_def_1180,type,
produc4245557441103728435nt_int: fun_in1696471567231710611nt_int > fun_Pr2478283820680522243nt_int ).
tff(func_def_1181,type,
produc1917071388513777916omplex: fun_na1142814060743658952omplex > fun_Pr4050773816208733250omplex ).
tff(func_def_1182,type,
produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).
tff(func_def_1183,type,
produc6840382203811409530at_int: ( fun_nat_fun_nat_int * product_prod_nat_nat ) > int ).
tff(func_def_1184,type,
produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).
tff(func_def_1185,type,
produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).
tff(func_def_1186,type,
produc6207742614233964070at_rat: fun_nat_fun_nat_rat > fun_Pr8317260874932935276at_rat ).
tff(func_def_1187,type,
produc1703576794950452218t_real: fun_nat_fun_nat_real > fun_Pr672294278902479040t_real ).
tff(func_def_1188,type,
produc3453488052772718514omplex: ( fun_na6363816395952508542omplex * product_prod_nat_nat ) > set_complex ).
tff(func_def_1189,type,
produc3668448655016342576t_real: ( fun_na312559527389416956t_real * product_prod_nat_nat ) > set_real ).
tff(func_def_1190,type,
produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).
tff(func_def_1191,type,
produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).
tff(func_def_1192,type,
produc3677492636715751295m_bool: fun_nat_fun_num_bool > fun_Pr1727971692872576719m_bool ).
tff(func_def_1193,type,
produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).
tff(func_def_1194,type,
produc6231982587499038204omplex: ( fun_na3925014923085203400omplex * product_prod_nat_num ) > set_complex ).
tff(func_def_1195,type,
produc9175805072616146554et_int: ( fun_na8306170748371236422et_int * product_prod_nat_num ) > set_int ).
tff(func_def_1196,type,
produc4130284055270567454et_nat: ( fun_na3896347130304379370et_nat * product_prod_nat_num ) > set_nat ).
tff(func_def_1197,type,
produc1435849484188172666t_real: ( fun_na3666575854997362246t_real * product_prod_nat_num ) > set_real ).
tff(func_def_1198,type,
produc8237051459014760373m_bool: fun_num_fun_num_bool > fun_Pr6287530515171585797m_bool ).
tff(func_def_1199,type,
produc2866383454006189126omplex: ( fun_nu9041852840018610706omplex * product_prod_num_num ) > set_complex ).
tff(func_def_1200,type,
produc6406642877701697732et_int: ( fun_nu4940571614878387344et_int * product_prod_num_num ) > set_int ).
tff(func_def_1201,type,
produc1361121860356118632et_nat: ( fun_nu530747996811530292et_nat * product_prod_num_num ) > set_nat ).
tff(func_def_1202,type,
produc8296048397933160132t_real: ( fun_nu4698968662094489488t_real * product_prod_num_num ) > set_real ).
tff(func_def_1203,type,
produc6738493412065443883t_bool: fun_Pr248683899324676269t_bool > fun_Pr446604468264085555t_bool ).
tff(func_def_1204,type,
produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).
tff(func_def_1205,type,
product_fst_int_int: fun_Pr982841511892225912nt_int ).
tff(func_def_1206,type,
product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).
tff(func_def_1207,type,
product_snd_int_int: fun_Pr982841511892225912nt_int ).
tff(func_def_1208,type,
product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).
tff(func_def_1209,type,
frct: product_prod_int_int > rat ).
tff(func_def_1210,type,
field_5140801741446780682s_real: set_real ).
tff(func_def_1211,type,
field_7254667332652039916t_real: rat > real ).
tff(func_def_1212,type,
normalize: fun_Pr2478283820680522243nt_int ).
tff(func_def_1213,type,
quotient_of: rat > product_prod_int_int ).
tff(func_def_1214,type,
real_V2521375963428798218omplex: set_complex ).
tff(func_def_1215,type,
real_V3694042436643373181omplex: complex > fun_complex_real ).
tff(func_def_1216,type,
real_V975177566351809787t_real: fun_re7681423839302404990l_real ).
tff(func_def_1217,type,
real_V1022390504157884413omplex: fun_complex_real ).
tff(func_def_1218,type,
real_V7735802525324610683m_real: fun_real_real ).
tff(func_def_1219,type,
real_V4546457046886955230omplex: fun_real_complex ).
tff(func_def_1220,type,
real_V1803761363581548252l_real: fun_real_real ).
tff(func_def_1221,type,
real_V2046097035970521341omplex: real > fun_complex_complex ).
tff(func_def_1222,type,
real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).
tff(func_def_1223,type,
field_nat: set_Pr1261947904930325089at_nat > set_nat ).
tff(func_def_1224,type,
id_nat2: set_Pr1261947904930325089at_nat ).
tff(func_def_1225,type,
divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_1226,type,
divide1717551699836669952omplex: complex > fun_complex_complex ).
tff(func_def_1227,type,
divide_divide_int: fun_int_fun_int_int ).
tff(func_def_1228,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(func_def_1229,type,
divide_divide_rat: ( rat * rat ) > rat ).
tff(func_def_1230,type,
divide_divide_real: fun_re7681423839302404990l_real ).
tff(func_def_1231,type,
dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).
tff(func_def_1232,type,
dvd_dvd_complex: fun_co1378794544173401837x_bool ).
tff(func_def_1233,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(func_def_1234,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(func_def_1235,type,
dvd_dvd_rat: fun_rat_fun_rat_bool ).
tff(func_def_1236,type,
dvd_dvd_real: fun_re1255401033344146673l_bool ).
tff(func_def_1237,type,
modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_1238,type,
modulo_modulo_int: fun_int_fun_int_int ).
tff(func_def_1239,type,
modulo_modulo_nat: fun_nat_fun_nat_nat ).
tff(func_def_1240,type,
zero_n356916108424825756nteger: bool > code_integer ).
tff(func_def_1241,type,
zero_n1201886186963655149omplex: bool > complex ).
tff(func_def_1242,type,
zero_n2684676970156552555ol_int: fun_bool_int ).
tff(func_def_1243,type,
zero_n2687167440665602831ol_nat: bool > nat ).
tff(func_def_1244,type,
zero_n2052037380579107095ol_rat: bool > rat ).
tff(func_def_1245,type,
zero_n3304061248610475627l_real: bool > real ).
tff(func_def_1246,type,
suminf_complex: fun_nat_complex > complex ).
tff(func_def_1247,type,
suminf_int: fun_nat_int > int ).
tff(func_def_1248,type,
suminf_nat: fun_nat_nat > nat ).
tff(func_def_1249,type,
suminf_real: fun_nat_real > real ).
tff(func_def_1250,type,
sums_complex: fun_nat_complex > fun_complex_bool ).
tff(func_def_1251,type,
sums_int: fun_nat_int > fun_int_bool ).
tff(func_def_1252,type,
sums_nat: fun_nat_nat > fun_nat_bool ).
tff(func_def_1253,type,
sums_real: fun_nat_real > fun_real_bool ).
tff(func_def_1254,type,
collect_complex: fun_complex_bool > set_complex ).
tff(func_def_1255,type,
collect_int: fun_int_bool > set_int ).
tff(func_def_1256,type,
collect_list_complex: fun_li356976171784545970x_bool > set_list_complex ).
tff(func_def_1257,type,
collect_list_bool: fun_list_bool_bool > set_list_bool ).
tff(func_def_1258,type,
collect_list_int: fun_list_int_bool > set_list_int ).
tff(func_def_1259,type,
collect_list_nat: fun_list_nat_bool > set_list_nat ).
tff(func_def_1260,type,
collect_list_real: fun_list_real_bool > set_list_real ).
tff(func_def_1261,type,
collec5608196760682091941T_VEBT: fun_li6006399982103069984T_bool > set_list_VEBT_VEBT ).
tff(func_def_1262,type,
collect_nat: fun_nat_bool > set_nat ).
tff(func_def_1263,type,
collect_num: fun_num_bool > set_num ).
tff(func_def_1264,type,
collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).
tff(func_def_1265,type,
collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).
tff(func_def_1266,type,
collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).
tff(func_def_1267,type,
collect_rat: fun_rat_bool > set_rat ).
tff(func_def_1268,type,
collect_real: fun_real_bool > set_real ).
tff(func_def_1269,type,
image_int_int: ( fun_int_int * set_int ) > set_int ).
tff(func_def_1270,type,
image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).
tff(func_def_1271,type,
image_nat_real: ( fun_nat_real * set_nat ) > set_real ).
tff(func_def_1272,type,
image_nat_char: ( fun_nat_char * set_nat ) > set_char ).
tff(func_def_1273,type,
image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).
tff(func_def_1274,type,
image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).
tff(func_def_1275,type,
image_real_real: ( fun_real_real * set_real ) > set_real ).
tff(func_def_1276,type,
image_char_nat: ( fun_char_nat * set_char ) > set_nat ).
tff(func_def_1277,type,
image_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * set_VEBT_VEBT ) > set_nat ).
tff(func_def_1278,type,
insert_complex: ( complex * set_complex ) > set_complex ).
tff(func_def_1279,type,
insert_int: ( int * set_int ) > set_int ).
tff(func_def_1280,type,
insert_nat: ( nat * set_nat ) > set_nat ).
tff(func_def_1281,type,
insert_num: ( num * set_num ) > set_num ).
tff(func_def_1282,type,
insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_1283,type,
insert_rat: ( rat * set_rat ) > set_rat ).
tff(func_def_1284,type,
insert_real: ( real * set_real ) > set_real ).
tff(func_def_1285,type,
insert_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).
tff(func_def_1286,type,
vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).
tff(func_def_1287,type,
set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).
tff(func_def_1288,type,
set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).
tff(func_def_1289,type,
set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).
tff(func_def_1290,type,
set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat * rat ) > rat ).
tff(func_def_1291,type,
set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).
tff(func_def_1292,type,
set_or1266510415728281911st_int: ( int * int ) > set_int ).
tff(func_def_1293,type,
set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).
tff(func_def_1294,type,
set_or7049704709247886629st_num: ( num * num ) > set_num ).
tff(func_def_1295,type,
set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).
tff(func_def_1296,type,
set_or1222579329274155063t_real: ( real * real ) > set_real ).
tff(func_def_1297,type,
set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).
tff(func_def_1298,type,
set_or7743017856606604397t_real: ( set_real * set_real ) > set_set_real ).
tff(func_def_1299,type,
set_or4662586982721622107an_int: ( int * int ) > set_int ).
tff(func_def_1300,type,
set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).
tff(func_def_1301,type,
set_ord_atLeast_nat: fun_nat_set_nat ).
tff(func_def_1302,type,
set_ord_atLeast_real: real > set_real ).
tff(func_def_1303,type,
set_ord_atMost_nat: fun_nat_set_nat ).
tff(func_def_1304,type,
set_or6656581121297822940st_int: ( int * int ) > set_int ).
tff(func_def_1305,type,
set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).
tff(func_def_1306,type,
set_or5832277885323065728an_int: ( int * int ) > set_int ).
tff(func_def_1307,type,
set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).
tff(func_def_1308,type,
set_or1633881224788618240n_real: ( real * real ) > set_real ).
tff(func_def_1309,type,
set_or1210151606488870762an_nat: fun_nat_set_nat ).
tff(func_def_1310,type,
set_or5849166863359141190n_real: real > set_real ).
tff(func_def_1311,type,
set_ord_lessThan_int: int > set_int ).
tff(func_def_1312,type,
set_ord_lessThan_nat: fun_nat_set_nat ).
tff(func_def_1313,type,
set_ord_lessThan_num: num > set_num ).
tff(func_def_1314,type,
set_ord_lessThan_rat: rat > set_rat ).
tff(func_def_1315,type,
set_or5984915006950818249n_real: real > set_real ).
tff(func_def_1316,type,
ascii_of: char > char ).
tff(func_def_1317,type,
char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).
tff(func_def_1318,type,
comm_s629917340098488124ar_nat: fun_char_nat ).
tff(func_def_1319,type,
integer_of_char: char > code_integer ).
tff(func_def_1320,type,
unique3096191561947761185of_nat: fun_nat_char ).
tff(func_def_1321,type,
topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).
tff(func_def_1322,type,
topolo2815343760600316023s_real: real > filter_real ).
tff(func_def_1323,type,
topolo896644834953643431omplex: filter6041513312241820739omplex ).
tff(func_def_1324,type,
topolo1511823702728130853y_real: filter2146258269922977983l_real ).
tff(func_def_1325,type,
arccos: fun_real_real ).
tff(func_def_1326,type,
arcosh_real: fun_real_real ).
tff(func_def_1327,type,
arcsin: fun_real_real ).
tff(func_def_1328,type,
arctan: fun_real_real ).
tff(func_def_1329,type,
arsinh_real: fun_real_real ).
tff(func_def_1330,type,
artanh_real: fun_real_real ).
tff(func_def_1331,type,
cos_complex: fun_complex_complex ).
tff(func_def_1332,type,
cos_real: fun_real_real ).
tff(func_def_1333,type,
cos_coeff: fun_nat_real ).
tff(func_def_1334,type,
cosh_real: fun_real_real ).
tff(func_def_1335,type,
cot_real: fun_real_real ).
tff(func_def_1336,type,
diffs_complex: fun_nat_complex > fun_nat_complex ).
tff(func_def_1337,type,
diffs_int: fun_nat_int > fun_nat_int ).
tff(func_def_1338,type,
diffs_real: fun_nat_real > fun_nat_real ).
tff(func_def_1339,type,
exp_complex: fun_complex_complex ).
tff(func_def_1340,type,
exp_real: fun_real_real ).
tff(func_def_1341,type,
ln_ln_real: fun_real_real ).
tff(func_def_1342,type,
log: fun_re7681423839302404990l_real ).
tff(func_def_1343,type,
pi: real ).
tff(func_def_1344,type,
powr_real: fun_re7681423839302404990l_real ).
tff(func_def_1345,type,
sin_complex: fun_complex_complex ).
tff(func_def_1346,type,
sin_real: fun_real_real ).
tff(func_def_1347,type,
sin_coeff: fun_nat_real ).
tff(func_def_1348,type,
sinh_real: fun_real_real ).
tff(func_def_1349,type,
tan_complex: fun_complex_complex ).
tff(func_def_1350,type,
tan_real: fun_real_real ).
tff(func_def_1351,type,
tanh_complex: fun_complex_complex ).
tff(func_def_1352,type,
tanh_real: fun_real_real ).
tff(func_def_1353,type,
transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
tff(func_def_1354,type,
transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
tff(func_def_1355,type,
vEBT_T_i_n_s_e_r_t: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1356,type,
vEBT_T_i_n_s_e_r_t2: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1357,type,
vEBT_T5076183648494686801_t_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1358,type,
vEBT_T9217963907923527482_t_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1359,type,
vEBT_T_m_a_x_t: fun_VEBT_VEBT_nat ).
tff(func_def_1360,type,
vEBT_T_m_a_x_t_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1361,type,
vEBT_T_m_e_m_b_e_r: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1362,type,
vEBT_T_m_e_m_b_e_r2: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1363,type,
vEBT_T8099345112685741742_r_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1364,type,
vEBT_T5837161174952499735_r_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1365,type,
vEBT_T_m_i_n_N_u_l_l: fun_VEBT_VEBT_nat ).
tff(func_def_1366,type,
vEBT_T5462971552011256508_l_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1367,type,
vEBT_T_m_i_n_t: fun_VEBT_VEBT_nat ).
tff(func_def_1368,type,
vEBT_T_m_i_n_t_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1369,type,
vEBT_T_p_r_e_d: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1370,type,
vEBT_T_p_r_e_d2: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1371,type,
vEBT_T_p_r_e_d_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1372,type,
vEBT_T_p_r_e_d_rel2: fun_Pr817965127378462947t_bool ).
tff(func_def_1373,type,
vEBT_T_s_u_c_c: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1374,type,
vEBT_T_s_u_c_c2: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1375,type,
vEBT_T_s_u_c_c_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1376,type,
vEBT_T_s_u_c_c_rel2: fun_Pr817965127378462947t_bool ).
tff(func_def_1377,type,
vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).
tff(func_def_1378,type,
vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1379,type,
vEBT_size_VEBT: fun_VEBT_VEBT_nat ).
tff(func_def_1380,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
tff(func_def_1381,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(func_def_1382,type,
vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).
tff(func_def_1383,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
tff(func_def_1384,type,
vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).
tff(func_def_1385,type,
vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1386,type,
vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).
tff(func_def_1387,type,
vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1388,type,
vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).
tff(func_def_1389,type,
vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1390,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(func_def_1391,type,
vEBT_set_vebt: vEBT_VEBT > set_nat ).
tff(func_def_1392,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
tff(func_def_1393,type,
vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).
tff(func_def_1394,type,
vEBT_T_d_e_l_e_t_e: vEBT_VEBT > fun_nat_nat ).
tff(func_def_1395,type,
vEBT_T8441311223069195367_e_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1396,type,
vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1397,type,
vEBT_vebt_delete_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1398,type,
vEBT_VEBT_height: fun_VEBT_VEBT_nat ).
tff(func_def_1399,type,
vEBT_VEBT_height_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1400,type,
vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1401,type,
vEBT_vebt_insert_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1402,type,
vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).
tff(func_def_1403,type,
vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).
tff(func_def_1404,type,
vEBT_V6963167321098673237ll_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1405,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
tff(func_def_1406,type,
vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).
tff(func_def_1407,type,
vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1408,type,
vEBT_VEBT_add: fun_op7210469962420818650on_nat ).
tff(func_def_1409,type,
vEBT_VEBT_greater: fun_op7792301606653096457t_bool ).
tff(func_def_1410,type,
vEBT_VEBT_less: fun_op7792301606653096457t_bool ).
tff(func_def_1411,type,
vEBT_VEBT_lesseq: fun_op7792301606653096457t_bool ).
tff(func_def_1412,type,
vEBT_VEBT_max_in_set: set_nat > fun_nat_bool ).
tff(func_def_1413,type,
vEBT_VEBT_min_in_set: set_nat > fun_nat_bool ).
tff(func_def_1414,type,
vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).
tff(func_def_1415,type,
vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).
tff(func_def_1416,type,
vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).
tff(func_def_1417,type,
vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).
tff(func_def_1418,type,
vEBT_VEBT_power: fun_op7210469962420818650on_nat ).
tff(func_def_1419,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
tff(func_def_1420,type,
vEBT_vebt_maxt_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1421,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
tff(func_def_1422,type,
vEBT_vebt_mint_rel: fun_VE5877677516038742509T_bool ).
tff(func_def_1423,type,
vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_1424,type,
vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).
tff(func_def_1425,type,
vEBT_vebt_pred_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1426,type,
vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_1427,type,
vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).
tff(func_def_1428,type,
vEBT_vebt_succ_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_1429,type,
accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).
tff(func_def_1430,type,
accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).
tff(func_def_1431,type,
accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).
tff(func_def_1432,type,
accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).
tff(func_def_1433,type,
accp_P3113834385874906142um_num: fun_Pr5837708615769641901m_bool > fun_Pr6287530515171585797m_bool ).
tff(func_def_1434,type,
accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).
tff(func_def_1435,type,
pred_nat: set_Pr1261947904930325089at_nat ).
tff(func_def_1436,type,
wf_nat: fun_se8074476271188067385t_bool ).
tff(func_def_1437,type,
aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).
tff(func_def_1438,type,
aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).
tff(func_def_1439,type,
aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).
tff(func_def_1440,type,
aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).
tff(func_def_1441,type,
aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).
tff(func_def_1442,type,
aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_1443,type,
aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).
tff(func_def_1444,type,
aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).
tff(func_def_1445,type,
aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).
tff(func_def_1446,type,
aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).
tff(func_def_1447,type,
aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).
tff(func_def_1448,type,
aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).
tff(func_def_1449,type,
aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).
tff(func_def_1450,type,
aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).
tff(func_def_1451,type,
aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).
tff(func_def_1452,type,
aa_complex_complex: ( fun_complex_complex * complex ) > complex ).
tff(func_def_1453,type,
aa_complex_bool: ( fun_complex_bool * complex ) > bool ).
tff(func_def_1454,type,
aa_complex_int: ( fun_complex_int * complex ) > int ).
tff(func_def_1455,type,
aa_complex_nat: ( fun_complex_nat * complex ) > nat ).
tff(func_def_1456,type,
aa_complex_num: ( fun_complex_num * complex ) > num ).
tff(func_def_1457,type,
aa_complex_rat: ( fun_complex_rat * complex ) > rat ).
tff(func_def_1458,type,
aa_complex_real: ( fun_complex_real * complex ) > real ).
tff(func_def_1459,type,
aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).
tff(func_def_1460,type,
aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).
tff(func_def_1461,type,
aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).
tff(func_def_1462,type,
aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).
tff(func_def_1463,type,
aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).
tff(func_def_1464,type,
aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).
tff(func_def_1465,type,
aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).
tff(func_def_1466,type,
aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).
tff(func_def_1467,type,
aa_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_1468,type,
aa_bool_int: ( fun_bool_int * bool ) > int ).
tff(func_def_1469,type,
aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).
tff(func_def_1470,type,
aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).
tff(func_def_1471,type,
aa_int_complex: ( fun_int_complex * int ) > complex ).
tff(func_def_1472,type,
aa_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_1473,type,
aa_int_int: ( fun_int_int * int ) > int ).
tff(func_def_1474,type,
aa_int_nat: ( fun_int_nat * int ) > nat ).
tff(func_def_1475,type,
aa_int_num: ( fun_int_num * int ) > num ).
tff(func_def_1476,type,
aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).
tff(func_def_1477,type,
aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).
tff(func_def_1478,type,
aa_int_rat: ( fun_int_rat * int ) > rat ).
tff(func_def_1479,type,
aa_int_real: ( fun_int_real * int ) > real ).
tff(func_def_1480,type,
aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_1481,type,
aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).
tff(func_def_1482,type,
aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).
tff(func_def_1483,type,
aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).
tff(func_def_1484,type,
aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).
tff(func_def_1485,type,
aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).
tff(func_def_1486,type,
aa_list_complex_bool: ( fun_li356976171784545970x_bool * list_complex ) > bool ).
tff(func_def_1487,type,
aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).
tff(func_def_1488,type,
aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).
tff(func_def_1489,type,
aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).
tff(func_def_1490,type,
aa_list_real_bool: ( fun_list_real_bool * list_real ) > bool ).
tff(func_def_1491,type,
aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).
tff(func_def_1492,type,
aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).
tff(func_def_1493,type,
aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).
tff(func_def_1494,type,
aa_nat_complex: ( fun_nat_complex * nat ) > complex ).
tff(func_def_1495,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_1496,type,
aa_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_1497,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_1498,type,
aa_nat_num: ( fun_nat_num * nat ) > num ).
tff(func_def_1499,type,
aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).
tff(func_def_1500,type,
aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).
tff(func_def_1501,type,
aa_nat_rat: ( fun_nat_rat * nat ) > rat ).
tff(func_def_1502,type,
aa_nat_real: ( fun_nat_real * nat ) > real ).
tff(func_def_1503,type,
aa_nat_set_complex: ( fun_nat_set_complex * nat ) > set_complex ).
tff(func_def_1504,type,
aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).
tff(func_def_1505,type,
aa_nat_set_real: ( fun_nat_set_real * nat ) > set_real ).
tff(func_def_1506,type,
aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).
tff(func_def_1507,type,
aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).
tff(func_def_1508,type,
aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).
tff(func_def_1509,type,
aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).
tff(func_def_1510,type,
aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).
tff(func_def_1511,type,
aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).
tff(func_def_1512,type,
aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).
tff(func_def_1513,type,
aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).
tff(func_def_1514,type,
aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).
tff(func_def_1515,type,
aa_nat8039161444313734436x_bool: ( fun_na376774557589183419x_bool * nat ) > fun_li356976171784545970x_bool ).
tff(func_def_1516,type,
aa_nat4862889769322786699l_bool: ( fun_na205931550456536010l_bool * nat ) > fun_list_bool_bool ).
tff(func_def_1517,type,
aa_nat1619170893822700070t_bool: ( fun_na7919044170365968317t_bool * nat ) > fun_list_int_bool ).
tff(func_def_1518,type,
aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).
tff(func_def_1519,type,
aa_nat4570152432052498854l_bool: ( fun_na6137814669449589053l_bool * nat ) > fun_list_real_bool ).
tff(func_def_1520,type,
aa_nat1297483763028037422T_bool: ( fun_na2508794161012263405T_bool * nat ) > fun_li6006399982103069984T_bool ).
tff(func_def_1521,type,
aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).
tff(func_def_1522,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_1523,type,
aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).
tff(func_def_1524,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(func_def_1525,type,
aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).
tff(func_def_1526,type,
aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).
tff(func_def_1527,type,
aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).
tff(func_def_1528,type,
aa_nat1569477272816701503omplex: ( fun_na6363816395952508542omplex * nat ) > fun_nat_set_complex ).
tff(func_def_1529,type,
aa_nat3669977791431069885t_real: ( fun_na312559527389416956t_real * nat ) > fun_nat_set_real ).
tff(func_def_1530,type,
aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).
tff(func_def_1531,type,
aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).
tff(func_def_1532,type,
aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).
tff(func_def_1533,type,
aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).
tff(func_def_1534,type,
aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).
tff(func_def_1535,type,
aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).
tff(func_def_1536,type,
aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).
tff(func_def_1537,type,
aa_nat_fun_num_bool: ( fun_nat_fun_num_bool * nat ) > fun_num_bool ).
tff(func_def_1538,type,
aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).
tff(func_def_1539,type,
aa_nat4347971807543021193omplex: ( fun_na3925014923085203400omplex * nat ) > fun_num_set_complex ).
tff(func_def_1540,type,
aa_nat6493022401476965383et_int: ( fun_na8306170748371236422et_int * nat ) > fun_num_set_int ).
tff(func_def_1541,type,
aa_nat8983105546408692139et_nat: ( fun_na3896347130304379370et_nat * nat ) > fun_num_set_nat ).
tff(func_def_1542,type,
aa_nat1437378620602899975t_real: ( fun_na3666575854997362246t_real * nat ) > fun_num_set_real ).
tff(func_def_1543,type,
aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_1544,type,
aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).
tff(func_def_1545,type,
aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).
tff(func_def_1546,type,
aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).
tff(func_def_1547,type,
aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).
tff(func_def_1548,type,
aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).
tff(func_def_1549,type,
aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).
tff(func_def_1550,type,
aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).
tff(func_def_1551,type,
aa_num_bool: ( fun_num_bool * num ) > bool ).
tff(func_def_1552,type,
aa_num_int: ( fun_num_int * num ) > int ).
tff(func_def_1553,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(func_def_1554,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(func_def_1555,type,
aa_num_option_num: ( fun_num_option_num * num ) > option_num ).
tff(func_def_1556,type,
aa_num_set_complex: ( fun_num_set_complex * num ) > set_complex ).
tff(func_def_1557,type,
aa_num_set_int: ( fun_num_set_int * num ) > set_int ).
tff(func_def_1558,type,
aa_num_set_nat: ( fun_num_set_nat * num ) > set_nat ).
tff(func_def_1559,type,
aa_num_set_real: ( fun_num_set_real * num ) > set_real ).
tff(func_def_1560,type,
aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).
tff(func_def_1561,type,
aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).
tff(func_def_1562,type,
aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).
tff(func_def_1563,type,
aa_num241437687621652691omplex: ( fun_nu9041852840018610706omplex * num ) > fun_num_set_complex ).
tff(func_def_1564,type,
aa_num3127423267984116305et_int: ( fun_nu4940571614878387344et_int * num ) > fun_num_set_int ).
tff(func_def_1565,type,
aa_num5617506412915843061et_nat: ( fun_nu530747996811530292et_nat * num ) > fun_num_set_nat ).
tff(func_def_1566,type,
aa_num2469771427700027217t_real: ( fun_nu4698968662094489488t_real * num ) > fun_num_set_real ).
tff(func_def_1567,type,
aa_option_nat_bool: ( fun_option_nat_bool * option_nat ) > bool ).
tff(func_def_1568,type,
aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).
tff(func_def_1569,type,
aa_opt7943525813896274546t_bool: ( fun_op7792301606653096457t_bool * option_nat ) > fun_option_nat_bool ).
tff(func_def_1570,type,
aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).
tff(func_def_1571,type,
aa_opt1914333813751119784m_bool: ( fun_op8690601775248757823m_bool * option_nat ) > fun_option_num_bool ).
tff(func_def_1572,type,
aa_opt9009324110926966577t_bool: ( fun_op5698422665285572208t_bool * option_nat ) > fun_op2627489687811228755t_bool ).
tff(func_def_1573,type,
aa_option_num_bool: ( fun_option_num_bool * option_num ) > bool ).
tff(func_def_1574,type,
aa_opt1215501472626160296t_bool: ( fun_op1064277265382982207t_bool * option_num ) > fun_option_nat_bool ).
tff(func_def_1575,type,
aa_opt4409681509335781342m_bool: ( fun_op1962577433978643573m_bool * option_num ) > fun_option_num_bool ).
tff(func_def_1576,type,
aa_opt1819983772202877819t_bool: ( fun_op7732454363416259258t_bool * option_num ) > fun_op2627489687811228755t_bool ).
tff(func_def_1577,type,
aa_opt6800557945374683724t_bool: ( fun_op2627489687811228755t_bool * option4927543243414619207at_nat ) > bool ).
tff(func_def_1578,type,
aa_opt5915962183577952389t_bool: ( fun_op9100744243108201484t_bool * option4927543243414619207at_nat ) > fun_option_nat_bool ).
tff(func_def_1579,type,
aa_opt9110142220287573435m_bool: ( fun_op775672374849087042m_bool * option4927543243414619207at_nat ) > fun_option_num_bool ).
tff(func_def_1580,type,
aa_opt7606875699174042974t_bool: ( fun_op5682630191948829869t_bool * option4927543243414619207at_nat ) > fun_op2627489687811228755t_bool ).
tff(func_def_1581,type,
aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_1582,type,
aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).
tff(func_def_1583,type,
aa_Pro6799258434465214121nt_int: ( fun_Pr982841511892225912nt_int * product_prod_int_int ) > int ).
tff(func_def_1584,type,
aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).
tff(func_def_1585,type,
aa_Pro82899191565270131omplex: ( fun_Pr4050773816208733250omplex * product_prod_nat_nat ) > complex ).
tff(func_def_1586,type,
aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).
tff(func_def_1587,type,
aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).
tff(func_def_1588,type,
aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).
tff(func_def_1589,type,
aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).
tff(func_def_1590,type,
aa_Pro3608043709957902237at_rat: ( fun_Pr8317260874932935276at_rat * product_prod_nat_nat ) > rat ).
tff(func_def_1591,type,
aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).
tff(func_def_1592,type,
aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_1593,type,
aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).
tff(func_def_1594,type,
aa_Pro5426739851356932296m_bool: ( fun_Pr1727971692872576719m_bool * product_prod_nat_num ) > bool ).
tff(func_def_1595,type,
aa_Pro762926636801165566m_bool: ( fun_Pr6287530515171585797m_bool * product_prod_num_num ) > bool ).
tff(func_def_1596,type,
aa_Pro6098352494050694700t_bool: ( fun_Pr446604468264085555t_bool * produc859450856879609959at_nat ) > bool ).
tff(func_def_1597,type,
aa_rat_bool: ( fun_rat_bool * rat ) > bool ).
tff(func_def_1598,type,
aa_rat_rat: ( fun_rat_rat * rat ) > rat ).
tff(func_def_1599,type,
aa_rat_real: ( fun_rat_real * rat ) > real ).
tff(func_def_1600,type,
aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).
tff(func_def_1601,type,
aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).
tff(func_def_1602,type,
aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).
tff(func_def_1603,type,
aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).
tff(func_def_1604,type,
aa_real_complex: ( fun_real_complex * real ) > complex ).
tff(func_def_1605,type,
aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).
tff(func_def_1606,type,
aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).
tff(func_def_1607,type,
aa_real_bool: ( fun_real_bool * real ) > bool ).
tff(func_def_1608,type,
aa_real_int: ( fun_real_int * real ) > int ).
tff(func_def_1609,type,
aa_real_nat: ( fun_real_nat * real ) > nat ).
tff(func_def_1610,type,
aa_real_num: ( fun_real_num * real ) > num ).
tff(func_def_1611,type,
aa_real_rat: ( fun_real_rat * real ) > rat ).
tff(func_def_1612,type,
aa_real_real: ( fun_real_real * real ) > real ).
tff(func_def_1613,type,
aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).
tff(func_def_1614,type,
aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).
tff(func_def_1615,type,
aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).
tff(func_def_1616,type,
aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).
tff(func_def_1617,type,
aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).
tff(func_def_1618,type,
aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).
tff(func_def_1619,type,
aa_set_complex_bool: ( fun_set_complex_bool * set_complex ) > bool ).
tff(func_def_1620,type,
aa_set7743095458595710203omplex: ( fun_se7512233253626865466omplex * set_complex ) > fun_complex_complex ).
tff(func_def_1621,type,
aa_set3741564773079358752x_bool: ( fun_se2973560062716774839x_bool * set_complex ) > fun_complex_bool ).
tff(func_def_1622,type,
aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).
tff(func_def_1623,type,
aa_set7012339369581096484t_bool: ( fun_se6612071603986899387t_bool * set_int ) > fun_int_bool ).
tff(func_def_1624,type,
aa_set7310040872927613301nt_int: ( fun_se4827636401813558708nt_int * set_int ) > fun_int_int ).
tff(func_def_1625,type,
aa_set257547205302447420t_bool: ( fun_se7035039998181355731t_bool * set_list_nat ) > fun_list_nat_bool ).
tff(func_def_1626,type,
aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).
tff(func_def_1627,type,
aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).
tff(func_def_1628,type,
aa_set3744802623701456604t_bool: ( fun_se680526843285281907t_bool * set_nat ) > fun_nat_bool ).
tff(func_def_1629,type,
aa_set6537093552120046177at_nat: ( fun_se1179353343636554400at_nat * set_nat ) > fun_nat_nat ).
tff(func_def_1630,type,
aa_set1166323925324055613t_real: ( fun_se1654316830156123260t_real * set_nat ) > fun_nat_real ).
tff(func_def_1631,type,
aa_set5115289136882354743omplex: ( fun_se8708249003167407990omplex * set_nat ) > fun_fu40286998686754419omplex ).
tff(func_def_1632,type,
aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).
tff(func_def_1633,type,
aa_set_num_bool: ( fun_set_num_bool * set_num ) > bool ).
tff(func_def_1634,type,
aa_set3135850010578026034t_bool: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > bool ).
tff(func_def_1635,type,
aa_set5223363028666124222t_bool: ( fun_se3305628495172992525t_bool * set_Pr1261947904930325089at_nat ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_1636,type,
aa_set_rat_bool: ( fun_set_rat_bool * set_rat ) > bool ).
tff(func_def_1637,type,
aa_set_real_bool: ( fun_set_real_bool * set_real ) > bool ).
tff(func_def_1638,type,
aa_set8565328311858951076l_bool: ( fun_se2197967325210717499l_bool * set_real ) > fun_real_bool ).
tff(func_def_1639,type,
aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).
tff(func_def_1640,type,
aa_char_nat: ( fun_char_nat * char ) > nat ).
tff(func_def_1641,type,
aa_VEBT_VEBT_complex: ( fun_VE5569070535936029429omplex * vEBT_VEBT ) > complex ).
tff(func_def_1642,type,
aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).
tff(func_def_1643,type,
aa_VEBT_VEBT_int: ( fun_VEBT_VEBT_int * vEBT_VEBT ) > int ).
tff(func_def_1644,type,
aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).
tff(func_def_1645,type,
aa_VEBT_VEBT_num: ( fun_VEBT_VEBT_num * vEBT_VEBT ) > num ).
tff(func_def_1646,type,
aa_VEBT_VEBT_rat: ( fun_VEBT_VEBT_rat * vEBT_VEBT ) > rat ).
tff(func_def_1647,type,
aa_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * vEBT_VEBT ) > real ).
tff(func_def_1648,type,
aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).
tff(func_def_1649,type,
aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).
tff(func_def_1650,type,
aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).
tff(func_def_1651,type,
aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).
tff(func_def_1652,type,
aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).
tff(func_def_1653,type,
aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).
tff(func_def_1654,type,
aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).
tff(func_def_1655,type,
aa_fun9073502203726719595x_bool: ( fun_fu5519326811792979714x_bool * fun_complex_complex ) > fun_complex_bool ).
tff(func_def_1656,type,
aa_fun1953249243402654830x_real: ( fun_fu8968174646369908141x_real * fun_complex_complex ) > fun_complex_real ).
tff(func_def_1657,type,
aa_fun6995112137416684571omplex: ( fun_fu8998703528969179354omplex * fun_complex_complex ) > fun_co7673397065115134084omplex ).
tff(func_def_1658,type,
aa_fun1583801116089702097omplex: ( fun_fu8084223252616112272omplex * fun_complex_complex ) > fun_se7512233253626865466omplex ).
tff(func_def_1659,type,
aa_fun4268748527592579270omplex: ( fun_fu6919794090103715845omplex * fun_complex_complex ) > fun_fu5956788528830221615omplex ).
tff(func_def_1660,type,
aa_fun6641798613628721963x_bool: ( fun_fu3191020621175015362x_bool * fun_complex_complex ) > fun_fu5519326811792979714x_bool ).
tff(func_def_1661,type,
aa_fun1034237174562290143omplex: ( fun_fu248857536038387758omplex * fun_complex_bool ) > fun_complex_complex ).
tff(func_def_1662,type,
aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).
tff(func_def_1663,type,
aa_fun2902006202505214429x_real: ( fun_fu1911030855436031788x_real * fun_complex_bool ) > fun_complex_real ).
tff(func_def_1664,type,
aa_fun4286351638413746156ex_int: ( fun_fu4213752561377164075ex_int * fun_complex_int ) > fun_complex_int ).
tff(func_def_1665,type,
aa_fun6437630453459604288ex_int: ( fun_fu4692242605864086655ex_int * fun_complex_int ) > fun_fu4213752561377164075ex_int ).
tff(func_def_1666,type,
aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).
tff(func_def_1667,type,
aa_fun2484745150758625324ex_nat: ( fun_fu2513798379308225899ex_nat * fun_complex_nat ) > fun_fu705315015666092147ex_nat ).
tff(func_def_1668,type,
aa_fun2759627087638585025x_bool: ( fun_fu3810065756161129304x_bool * fun_complex_rat ) > fun_complex_bool ).
tff(func_def_1669,type,
aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).
tff(func_def_1670,type,
aa_fun1496239077807485399x_bool: ( fun_fu9216119399439645550x_bool * fun_complex_rat ) > fun_fu3810065756161129304x_bool ).
tff(func_def_1671,type,
aa_fun530470884365435460ex_rat: ( fun_fu6638204120336560003ex_rat * fun_complex_rat ) > fun_fu2990765671291504771ex_rat ).
tff(func_def_1672,type,
aa_fun2898354424061222765x_bool: ( fun_fu6356453956411242500x_bool * fun_complex_real ) > fun_complex_bool ).
tff(func_def_1673,type,
aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).
tff(func_def_1674,type,
aa_fun2094807616088678831x_bool: ( fun_fu5995210064384465734x_bool * fun_complex_real ) > fun_fu6356453956411242500x_bool ).
tff(func_def_1675,type,
aa_fun8382785274855863872x_real: ( fun_fu709861064203714431x_real * fun_complex_real ) > fun_fu7714627026455246123x_real ).
tff(func_def_1676,type,
aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).
tff(func_def_1677,type,
aa_fun3088484340408535532omplex: ( fun_fu3613808716698379563omplex * fun_int_complex ) > fun_int_complex ).
tff(func_def_1678,type,
aa_fun8146511558608327279t_bool: ( fun_fu7152481525987436038t_bool * fun_int_complex ) > fun_int_bool ).
tff(func_def_1679,type,
aa_fun1985759105522019690t_real: ( fun_fu3594690983434520489t_real * fun_int_complex ) > fun_int_real ).
tff(func_def_1680,type,
aa_fun8701580876069687872omplex: ( fun_fu5467039391162264447omplex * fun_int_complex ) > fun_fu3613808716698379563omplex ).
tff(func_def_1681,type,
aa_fun3850298374753145905t_bool: ( fun_fu5129045444369776328t_bool * fun_int_complex ) > fun_fu7152481525987436038t_bool ).
tff(func_def_1682,type,
aa_fun3606824691168040799omplex: ( fun_fu6363802315473983150omplex * fun_int_bool ) > fun_int_complex ).
tff(func_def_1683,type,
aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_1684,type,
aa_fun4400602662665189257nt_rat: ( fun_fu2671659548940339672nt_rat * fun_int_bool ) > fun_int_rat ).
tff(func_def_1685,type,
aa_fun6974987029372589917t_real: ( fun_fu6185597869953674668t_real * fun_int_bool ) > fun_int_real ).
tff(func_def_1686,type,
aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).
tff(func_def_1687,type,
aa_fun5911324870756489105nt_int: ( fun_fu923337204662071120nt_int * fun_int_int ) > fun_int_fun_int_int ).
tff(func_def_1688,type,
aa_fun8076508010538293575nt_int: ( fun_fu3739269683040691718nt_int * fun_int_int ) > fun_se4827636401813558708nt_int ).
tff(func_def_1689,type,
aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).
tff(func_def_1690,type,
aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).
tff(func_def_1691,type,
aa_fun258058769140594373t_bool: ( fun_fu337402001079966300t_bool * fun_int_rat ) > fun_int_bool ).
tff(func_def_1692,type,
aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).
tff(func_def_1693,type,
aa_fun465274253410646749t_bool: ( fun_fu163127709195666036t_bool * fun_int_rat ) > fun_fu337402001079966300t_bool ).
tff(func_def_1694,type,
aa_fun1262781554902806129t_bool: ( fun_fu549321512867696136t_bool * fun_int_real ) > fun_int_bool ).
tff(func_def_1695,type,
aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).
tff(func_def_1696,type,
aa_fun6205147705862377397t_bool: ( fun_fu3401574108658714444t_bool * fun_int_real ) > fun_fu549321512867696136t_bool ).
tff(func_def_1697,type,
aa_fun6524208927192123834t_real: ( fun_fu4328765270694171897t_real * fun_int_real ) > fun_fu121957152452960295t_real ).
tff(func_def_1698,type,
aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).
tff(func_def_1699,type,
aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).
tff(func_def_1700,type,
aa_fun8004580481347240231t_bool: ( fun_fu4346542433904371390t_bool * fun_nat_complex ) > fun_nat_bool ).
tff(func_def_1701,type,
aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).
tff(func_def_1702,type,
aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).
tff(func_def_1703,type,
aa_fun5430245816583273541t_bool: ( fun_fu8382797250367883996t_bool * fun_nat_complex ) > fun_fu4346542433904371390t_bool ).
tff(func_def_1704,type,
aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).
tff(func_def_1705,type,
aa_fun8588439219086927967omplex: ( fun_fu7905158015251895726omplex * fun_nat_bool ) > fun_nat_complex ).
tff(func_def_1706,type,
aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_1707,type,
aa_fun1750223370215434333t_real: ( fun_fu9152424228179946668t_real * fun_nat_bool ) > fun_nat_real ).
tff(func_def_1708,type,
aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).
tff(func_def_1709,type,
aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).
tff(func_def_1710,type,
aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).
tff(func_def_1711,type,
aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).
tff(func_def_1712,type,
aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_1713,type,
aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).
tff(func_def_1714,type,
aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).
tff(func_def_1715,type,
aa_fun4561837934398617467at_nat: ( fun_fu2454420574033104442at_nat * fun_nat_nat ) > fun_se1179353343636554400at_nat ).
tff(func_def_1716,type,
aa_fun5637262893798792573t_bool: ( fun_fu3052598110916186900t_bool * fun_nat_rat ) > fun_nat_bool ).
tff(func_def_1717,type,
aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).
tff(func_def_1718,type,
aa_fun2107527232086395633t_bool: ( fun_fu2971308621445215880t_bool * fun_nat_rat ) > fun_fu3052598110916186900t_bool ).
tff(func_def_1719,type,
aa_fun1349230436907296553t_bool: ( fun_fu7195134416904984768t_bool * fun_nat_real ) > fun_nat_bool ).
tff(func_def_1720,type,
aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).
tff(func_def_1721,type,
aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).
tff(func_def_1722,type,
aa_fun1400677770452585267t_real: ( fun_fu3306995184869731826t_real * fun_nat_real ) > fun_se1654316830156123260t_real ).
tff(func_def_1723,type,
aa_fun849216055071118793t_bool: ( fun_fu8639250699203096928t_bool * fun_nat_real ) > fun_fu7195134416904984768t_bool ).
tff(func_def_1724,type,
aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).
tff(func_def_1725,type,
aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).
tff(func_def_1726,type,
aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).
tff(func_def_1727,type,
aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).
tff(func_def_1728,type,
aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).
tff(func_def_1729,type,
aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).
tff(func_def_1730,type,
aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).
tff(func_def_1731,type,
aa_fun6819693891783611194t_real: ( fun_fu7180905015247952065t_real * fun_Pr4050773816208733250omplex ) > fun_Pr672294278902479040t_real ).
tff(func_def_1732,type,
aa_fun8663595511526100224l_bool: ( fun_fu5641360819561228055l_bool * fun_Pr7757163693017731481t_bool ) > bool ).
tff(func_def_1733,type,
aa_fun2351638177499875132at_nat: ( fun_fu7732904369943091395at_nat * fun_Pr2602117396471556196at_nat ) > fun_Pr2602117396471556196at_nat ).
tff(func_def_1734,type,
aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).
tff(func_def_1735,type,
aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).
tff(func_def_1736,type,
aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).
tff(func_def_1737,type,
aa_fun2233226938935547116omplex: ( fun_fu8384527901749275179omplex * fun_real_complex ) > fun_real_complex ).
tff(func_def_1738,type,
aa_fun3813300650643916655l_bool: ( fun_fu914841811607101702l_bool * fun_real_complex ) > fun_real_bool ).
tff(func_def_1739,type,
aa_fun2786211375485122666l_real: ( fun_fu6344110373156359337l_real * fun_real_complex ) > fun_real_real ).
tff(func_def_1740,type,
aa_fun2106233272836097472omplex: ( fun_fu9096511887113981695omplex * fun_real_complex ) > fun_fu8384527901749275179omplex ).
tff(func_def_1741,type,
aa_fun5520078544946397361l_bool: ( fun_fu7100649987335273288l_bool * fun_real_complex ) > fun_fu914841811607101702l_bool ).
tff(func_def_1742,type,
aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).
tff(func_def_1743,type,
aa_fun6813637976755515871omplex: ( fun_fu1393723446858488622omplex * fun_real_bool ) > fun_real_complex ).
tff(func_def_1744,type,
aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).
tff(func_def_1745,type,
aa_fun7219699593533116937al_rat: ( fun_fu7249360421009165912al_rat * fun_real_bool ) > fun_real_rat ).
tff(func_def_1746,type,
aa_fun6348708079608492509l_real: ( fun_fu1760894646116856364l_real * fun_real_bool ) > fun_real_real ).
tff(func_def_1747,type,
aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).
tff(func_def_1748,type,
aa_fun8987621170725249221l_bool: ( fun_fu2277326744902863452l_bool * fun_real_rat ) > fun_real_bool ).
tff(func_def_1749,type,
aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).
tff(func_def_1750,type,
aa_fun8530242357055030877l_bool: ( fun_fu6750725090257165812l_bool * fun_real_rat ) > fun_fu2277326744902863452l_bool ).
tff(func_def_1751,type,
aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).
tff(func_def_1752,type,
aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).
tff(func_def_1753,type,
aa_fun334843040499603765l_bool: ( fun_fu2568719150003003596l_bool * fun_real_real ) > fun_fu7376312551830202376l_bool ).
tff(func_def_1754,type,
aa_fun5414376518349398074l_real: ( fun_fu9132278742410140537l_real * fun_real_real ) > fun_fu3077872570260440615l_real ).
tff(func_def_1755,type,
aa_fun8982142231764154876omplex: ( fun_fu8659448316070137091omplex * fun_VE5569070535936029429omplex ) > fun_VE5569070535936029429omplex ).
tff(func_def_1756,type,
aa_fun2910201368058922428omplex: ( fun_fu4277857625997497611omplex * fun_VE5569070535936029429omplex ) > fun_fu8659448316070137091omplex ).
tff(func_def_1757,type,
aa_fun7144222995531728252BT_int: ( fun_fu5786399312697532803BT_int * fun_VEBT_VEBT_int ) > fun_VEBT_VEBT_int ).
tff(func_def_1758,type,
aa_fun7485955581636121530BT_int: ( fun_fu7059288016784409353BT_int * fun_VEBT_VEBT_int ) > fun_fu5786399312697532803BT_int ).
tff(func_def_1759,type,
aa_fun8284231930576791164BT_nat: ( fun_fu5238640373165125763BT_nat * fun_VEBT_VEBT_nat ) > fun_VEBT_VEBT_nat ).
tff(func_def_1760,type,
aa_fun8778301808485728350BT_nat: ( fun_fu5586652545743564717BT_nat * fun_VEBT_VEBT_nat ) > fun_fu5238640373165125763BT_nat ).
tff(func_def_1761,type,
aa_fun8105832842879916156BT_rat: ( fun_fu2188483506383969923BT_rat * fun_VEBT_VEBT_rat ) > fun_VEBT_VEBT_rat ).
tff(func_def_1762,type,
aa_fun2693410532875676774BT_rat: ( fun_fu4463953228700081077BT_rat * fun_VEBT_VEBT_rat ) > fun_fu2188483506383969923BT_rat ).
tff(func_def_1763,type,
aa_fun1825138017709814396T_real: ( fun_fu8198533418994508931T_real * fun_VEBT_VEBT_real ) > fun_VEBT_VEBT_real ).
tff(func_def_1764,type,
aa_fun910392650362481850T_real: ( fun_fu4141963935195952137T_real * fun_VEBT_VEBT_real ) > fun_fu8198533418994508931T_real ).
tff(func_def_1765,type,
fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).
tff(func_def_1766,type,
fChoice_real: fun_real_bool > real ).
tff(func_def_1767,type,
fEx_nat: fun_fu7168253649841883962l_bool ).
tff(func_def_1768,type,
fEx_real: fun_fu7511176317168184086l_bool ).
tff(func_def_1769,type,
fFalse: bool ).
tff(func_def_1770,type,
fNot: fun_bool_bool ).
tff(func_def_1771,type,
fTrue: bool ).
tff(func_def_1772,type,
fconj: bool > fun_bool_bool ).
tff(func_def_1773,type,
fdisj: bool > fun_bool_bool ).
tff(func_def_1774,type,
fequal_Code_integer: fun_Co8310303586393106575r_bool ).
tff(func_def_1775,type,
fequal_complex: fun_co1378794544173401837x_bool ).
tff(func_def_1776,type,
fequal_bool: bool > fun_bool_bool ).
tff(func_def_1777,type,
fequal_int: fun_int_fun_int_bool ).
tff(func_def_1778,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_1779,type,
fequal_option_nat: fun_op7792301606653096457t_bool ).
tff(func_def_1780,type,
fequal_real: fun_re1255401033344146673l_bool ).
tff(func_def_1781,type,
fequal_VEBT_VEBT: vEBT_VEBT > fun_VEBT_VEBT_bool ).
tff(func_def_1782,type,
fimplies: fun_bo1841576699660343469l_bool ).
tff(func_def_1783,type,
member_complex: complex > fun_set_complex_bool ).
tff(func_def_1784,type,
member_int: int > fun_set_int_bool ).
tff(func_def_1785,type,
member_nat: nat > fun_set_nat_bool ).
tff(func_def_1786,type,
member_num: num > fun_set_num_bool ).
tff(func_def_1787,type,
member8440522571783428010at_nat: product_prod_nat_nat > fun_se8074476271188067385t_bool ).
tff(func_def_1788,type,
member_rat: rat > fun_set_rat_bool ).
tff(func_def_1789,type,
member_real: real > fun_set_real_bool ).
tff(func_def_1790,type,
member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).
tff(func_def_1791,type,
deg: nat ).
tff(func_def_1792,type,
m: nat ).
tff(func_def_1793,type,
ma: nat ).
tff(func_def_1794,type,
mi: nat ).
tff(func_def_1795,type,
na: nat ).
tff(func_def_1796,type,
summary: vEBT_VEBT ).
tff(func_def_1797,type,
treeList: list_VEBT_VEBT ).
tff(func_def_1798,type,
xa: nat ).
tff(func_def_1799,type,
sK92: fun_nat_bool > nat ).
tff(func_def_1800,type,
sK93: fun_nat_bool > nat ).
tff(func_def_1801,type,
sK94: fun_nat_fun_nat_bool > nat ).
tff(func_def_1802,type,
sK95: fun_nat_fun_nat_bool > nat ).
tff(func_def_1803,type,
sK96: fun_nat_fun_nat_bool > nat ).
tff(func_def_1804,type,
sK97: fun_nat_fun_nat_bool > nat ).
tff(func_def_1805,type,
sK98: fun_nat_fun_nat_bool > nat ).
tff(func_def_1806,type,
sK99: ( nat * nat ) > nat ).
tff(func_def_1807,type,
sK100: ( nat * nat ) > nat ).
tff(func_def_1808,type,
sK101: ( nat * nat ) > nat ).
tff(func_def_1809,type,
sK102: ( nat * nat ) > nat ).
tff(func_def_1810,type,
sK103: fun_nat_nat > nat ).
tff(func_def_1811,type,
sK104: fun_nat_nat > nat ).
tff(func_def_1812,type,
sK105: ( nat * nat ) > nat ).
tff(func_def_1813,type,
sK106: ( nat * nat ) > nat ).
tff(func_def_1814,type,
sK107: ( nat * nat ) > nat ).
tff(func_def_1815,type,
sK108: ( nat * nat ) > nat ).
tff(func_def_1816,type,
sK109: ( nat * nat ) > nat ).
tff(func_def_1817,type,
sK110: nat > nat ).
tff(func_def_1818,type,
sK111: nat > nat ).
tff(func_def_1819,type,
sK112: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).
tff(func_def_1820,type,
sK113: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).
tff(func_def_1821,type,
sK114: num > num ).
tff(func_def_1822,type,
sK115: num > num ).
tff(func_def_1823,type,
sK116: vEBT_VEBT > nat ).
tff(func_def_1824,type,
sK117: vEBT_VEBT > nat ).
tff(func_def_1825,type,
sK118: vEBT_VEBT > nat ).
tff(func_def_1826,type,
sK119: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1827,type,
sK120: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_1828,type,
sK121: vEBT_VEBT > nat ).
tff(func_def_1829,type,
sK122: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1830,type,
sK123: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_1831,type,
sK124: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_1832,type,
sK125: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_1833,type,
sK126: ( option_nat * vEBT_VEBT ) > bool ).
tff(func_def_1834,type,
sK127: ( option_nat * vEBT_VEBT ) > bool ).
tff(func_def_1835,type,
sK128: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1836,type,
sK129: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1837,type,
sK130: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1838,type,
sK131: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).
tff(func_def_1839,type,
sK132: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).
tff(func_def_1840,type,
sK133: vEBT_VEBT > nat ).
tff(func_def_1841,type,
sK134: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1842,type,
sK135: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_1843,type,
sK136: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1844,type,
sK137: product_prod_nat_nat > nat ).
tff(func_def_1845,type,
sK138: product_prod_nat_nat > nat ).
tff(func_def_1846,type,
sK139: product_prod_nat_nat > nat ).
tff(func_def_1847,type,
sK140: product_prod_nat_nat > nat ).
tff(func_def_1848,type,
sK141: product_prod_nat_nat > nat ).
tff(func_def_1849,type,
sK142: product_prod_nat_nat > nat ).
tff(func_def_1850,type,
sK143: fun_nat_bool > nat ).
tff(func_def_1851,type,
sK144: nat > nat ).
tff(func_def_1852,type,
sK145: ( nat * nat ) > nat ).
tff(func_def_1853,type,
sK146: nat > nat ).
tff(func_def_1854,type,
sK147: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1855,type,
sK148: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1856,type,
sK149: nat > nat ).
tff(func_def_1857,type,
sK150: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1858,type,
sK151: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1859,type,
sK152: nat > nat ).
tff(func_def_1860,type,
sK153: nat > nat ).
tff(func_def_1861,type,
sK154: fun_nat_bool > nat ).
tff(func_def_1862,type,
sK155: fun_nat_fun_nat_bool > nat ).
tff(func_def_1863,type,
sK156: fun_nat_fun_nat_bool > nat ).
tff(func_def_1864,type,
sK157: fun_nat_fun_nat_bool > nat ).
tff(func_def_1865,type,
sK158: fun_nat_fun_nat_bool > nat ).
tff(func_def_1866,type,
sK159: fun_nat_bool > nat ).
tff(func_def_1867,type,
sK160: nat > nat ).
tff(func_def_1868,type,
sK161: fun_nat_nat > nat ).
tff(func_def_1869,type,
sK162: fun_nat_nat > nat ).
tff(func_def_1870,type,
sK163: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1871,type,
sK164: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1872,type,
sK165: fun_nat_fun_nat_bool > nat ).
tff(func_def_1873,type,
sK166: fun_nat_fun_nat_bool > nat ).
tff(func_def_1874,type,
sK167: fun_nat_fun_nat_bool > nat ).
tff(func_def_1875,type,
sK168: fun_nat_fun_nat_bool > nat ).
tff(func_def_1876,type,
sK169: ( nat * nat ) > nat ).
tff(func_def_1877,type,
sK170: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1878,type,
sK171: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1879,type,
sK172: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1880,type,
sK173: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1881,type,
sK174: ( nat * nat ) > nat ).
tff(func_def_1882,type,
sK175: ( nat * nat ) > nat ).
tff(func_def_1883,type,
sK176: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1884,type,
sK177: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_1885,type,
sK178: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1886,type,
sK179: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1887,type,
sK180: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_1888,type,
sK181: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1889,type,
sK182: nat > nat ).
tff(func_def_1890,type,
sK183: nat > nat ).
tff(func_def_1891,type,
sK184: nat > nat ).
tff(func_def_1892,type,
sK185: nat > nat ).
tff(func_def_1893,type,
sK186: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1894,type,
sK187: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_1895,type,
sK188: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1896,type,
sK189: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1897,type,
sK190: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_1898,type,
sK191: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).
tff(func_def_1899,type,
sK192: nat > nat ).
tff(func_def_1900,type,
sK193: nat > nat ).
tff(func_def_1901,type,
sK194: nat > nat ).
tff(func_def_1902,type,
sK195: nat > nat ).
tff(func_def_1903,type,
sK196: fun_nat_bool > nat ).
tff(func_def_1904,type,
sK197: fun_nat_bool > nat ).
tff(func_def_1905,type,
sK198: fun_nat_bool > nat ).
tff(func_def_1906,type,
sK199: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1907,type,
sK200: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1908,type,
sK201: nat > nat ).
tff(func_def_1909,type,
sK202: nat > nat ).
tff(func_def_1910,type,
sK203: nat > nat ).
tff(func_def_1911,type,
sK204: nat > nat ).
tff(func_def_1912,type,
sK205: fun_nat_bool > nat ).
tff(func_def_1913,type,
sK206: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1914,type,
sK207: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1915,type,
sK208: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1916,type,
sK209: fun_nat_nat > nat ).
tff(func_def_1917,type,
sK210: fun_nat_nat > nat ).
tff(func_def_1918,type,
sK211: fun_nat_bool > nat ).
tff(func_def_1919,type,
sK212: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1920,type,
sK213: ( nat * nat * fun_nat_bool ) > nat ).
tff(func_def_1921,type,
sK214: ( nat * nat * fun_nat_bool ) > nat ).
tff(func_def_1922,type,
sK215: fun_nat_nat > nat ).
tff(func_def_1923,type,
sK216: fun_nat_nat > nat ).
tff(func_def_1924,type,
sK217: fun_nat_fun_nat_bool > nat ).
tff(func_def_1925,type,
sK218: fun_nat_fun_nat_bool > nat ).
tff(func_def_1926,type,
sK219: fun_nat_fun_nat_bool > nat ).
tff(func_def_1927,type,
sK220: fun_nat_fun_nat_bool > nat ).
tff(func_def_1928,type,
sK221: fun_nat_fun_nat_bool > nat ).
tff(func_def_1929,type,
sK222: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1930,type,
sK223: fun_nat_bool > nat ).
tff(func_def_1931,type,
sK224: nat > nat ).
tff(func_def_1932,type,
sK225: nat > list_VEBT_VEBT ).
tff(func_def_1933,type,
sK226: ( nat * real ) > real ).
tff(func_def_1934,type,
sK227: ( nat * real ) > real ).
tff(func_def_1935,type,
sK228: ( real * real ) > nat ).
tff(func_def_1936,type,
sK229: ( real * nat ) > real ).
tff(func_def_1937,type,
sK230: ( real * real ) > nat ).
tff(func_def_1938,type,
sK231: fun_nat_real > nat ).
tff(func_def_1939,type,
sK232: fun_nat_real > nat ).
tff(func_def_1940,type,
sK233: fun_int_bool > int ).
tff(func_def_1941,type,
sK234: fun_int_bool > int ).
tff(func_def_1942,type,
sK235: nat > nat ).
tff(func_def_1943,type,
sK236: ( nat * nat ) > nat ).
tff(func_def_1944,type,
sK237: nat > nat ).
tff(func_def_1945,type,
sK238: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1946,type,
sK239: ( fun_nat_bool * nat ) > nat ).
tff(func_def_1947,type,
sK240: ( nat * nat ) > nat ).
tff(func_def_1948,type,
sK241: ( nat * nat ) > nat ).
tff(func_def_1949,type,
sK242: ( nat * nat ) > nat ).
tff(func_def_1950,type,
sK243: ( nat * nat ) > nat ).
tff(func_def_1951,type,
sK244: ( nat * nat ) > nat ).
tff(func_def_1952,type,
sK245: ( nat * nat ) > nat ).
tff(func_def_1953,type,
sK246: ( nat * nat ) > nat ).
tff(func_def_1954,type,
sK247: ( nat * nat ) > nat ).
tff(func_def_1955,type,
sK248: ( nat * nat ) > nat ).
tff(func_def_1956,type,
sK249: ( nat * nat ) > nat ).
tff(func_def_1957,type,
sK250: ( nat * nat ) > nat ).
tff(func_def_1958,type,
sK251: ( nat * nat ) > nat ).
tff(func_def_1959,type,
sK252: ( nat * nat ) > nat ).
tff(func_def_1960,type,
sK253: ( nat * nat ) > nat ).
tff(func_def_1961,type,
sK254: ( nat * nat * nat ) > nat ).
tff(func_def_1962,type,
sK255: ( nat * nat * nat ) > nat ).
tff(func_def_1963,type,
sK256: ( nat * nat ) > nat ).
tff(func_def_1964,type,
sK257: ( nat * nat ) > nat ).
tff(func_def_1965,type,
sK258: ( nat * nat * nat ) > nat ).
tff(func_def_1966,type,
sK259: ( nat * nat * nat ) > nat ).
tff(func_def_1967,type,
sK260: ( nat * nat * nat ) > nat ).
tff(func_def_1968,type,
sK261: ( nat * nat * nat ) > nat ).
tff(func_def_1969,type,
sK262: fun_nat_bool > nat ).
tff(func_def_1970,type,
sK263: fun_nat_bool > nat ).
tff(func_def_1971,type,
sK264: ( nat * nat ) > nat ).
tff(func_def_1972,type,
sK265: ( nat * nat ) > nat ).
tff(func_def_1973,type,
sK266: ( real * real ) > real ).
tff(func_def_1974,type,
sK267: ( real * real ) > real ).
tff(func_def_1975,type,
sK268: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1976,type,
sK269: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1977,type,
sK270: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1978,type,
sK271: option_nat > nat ).
tff(func_def_1979,type,
sK272: option_nat > nat ).
tff(func_def_1980,type,
sK273: option_nat > nat ).
tff(func_def_1981,type,
sK274: vEBT_VEBT > bool ).
tff(func_def_1982,type,
sK275: vEBT_VEBT > bool ).
tff(func_def_1983,type,
sK276: vEBT_VEBT > bool ).
tff(func_def_1984,type,
sK277: vEBT_VEBT > bool ).
tff(func_def_1985,type,
sK278: vEBT_VEBT > bool ).
tff(func_def_1986,type,
sK279: vEBT_VEBT > bool ).
tff(func_def_1987,type,
sK280: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).
tff(func_def_1988,type,
sK281: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1989,type,
sK282: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1990,type,
sK283: ( option_nat * vEBT_VEBT ) > bool ).
tff(func_def_1991,type,
sK284: ( option_nat * vEBT_VEBT ) > bool ).
tff(func_def_1992,type,
sK285: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1993,type,
sK286: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1994,type,
sK287: ( vEBT_VEBT * option_nat ) > nat ).
tff(func_def_1995,type,
sK288: ( vEBT_VEBT * option_nat ) > list_VEBT_VEBT ).
tff(func_def_1996,type,
sK289: ( vEBT_VEBT * option_nat ) > vEBT_VEBT ).
tff(func_def_1997,type,
sK290: vEBT_VEBT > nat ).
tff(func_def_1998,type,
sK291: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1999,type,
sK292: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2000,type,
sK293: vEBT_VEBT > nat ).
tff(func_def_2001,type,
sK294: vEBT_VEBT > nat ).
tff(func_def_2002,type,
sK295: vEBT_VEBT > nat ).
tff(func_def_2003,type,
sK296: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2004,type,
sK297: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2005,type,
sK298: vEBT_VEBT > nat ).
tff(func_def_2006,type,
sK299: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2007,type,
sK300: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2008,type,
sK301: vEBT_VEBT > bool ).
tff(func_def_2009,type,
sK302: vEBT_VEBT > bool ).
tff(func_def_2010,type,
sK303: option4927543243414619207at_nat > product_prod_nat_nat ).
tff(func_def_2011,type,
sK304: option4927543243414619207at_nat > product_prod_nat_nat ).
tff(func_def_2012,type,
sK305: option4927543243414619207at_nat > product_prod_nat_nat ).
tff(func_def_2013,type,
sK306: vEBT_VEBT > option4927543243414619207at_nat ).
tff(func_def_2014,type,
sK307: vEBT_VEBT > nat ).
tff(func_def_2015,type,
sK308: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2016,type,
sK309: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2017,type,
sK310: vEBT_VEBT > bool ).
tff(func_def_2018,type,
sK311: vEBT_VEBT > bool ).
tff(func_def_2019,type,
sK312: vEBT_VEBT > bool ).
tff(func_def_2020,type,
sK313: vEBT_VEBT > bool ).
tff(func_def_2021,type,
sK314: vEBT_VEBT > option4927543243414619207at_nat ).
tff(func_def_2022,type,
sK315: vEBT_VEBT > nat ).
tff(func_def_2023,type,
sK316: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2024,type,
sK317: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2025,type,
sK318: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_2026,type,
sK319: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_2027,type,
sK320: fun_nat_bool > nat ).
tff(func_def_2028,type,
sK321: set_VEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2029,type,
sK322: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).
tff(func_def_2030,type,
sK323: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).
tff(func_def_2031,type,
sK324: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).
tff(func_def_2032,type,
sK325: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).
tff(func_def_2033,type,
sK326: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).
tff(func_def_2034,type,
sK327: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).
tff(func_def_2035,type,
sK328: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2036,type,
sK329: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2037,type,
sK330: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2038,type,
sK331: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2039,type,
sK332: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2040,type,
sK333: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2041,type,
sK334: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2042,type,
sK335: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2043,type,
sK336: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2044,type,
sK337: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2045,type,
sK338: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2046,type,
sK339: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2047,type,
sK340: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2048,type,
sK341: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2049,type,
sK342: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2050,type,
sK343: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2051,type,
sK344: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2052,type,
sK345: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2053,type,
sK346: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2054,type,
sK347: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2055,type,
sK348: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2056,type,
sK349: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2057,type,
sK350: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2058,type,
sK351: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2059,type,
sK352: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_2060,type,
sK353: ( list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2061,type,
sK354: ( list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2062,type,
sK355: vEBT_VEBT > bool ).
tff(func_def_2063,type,
sK356: vEBT_VEBT > bool ).
tff(func_def_2064,type,
sK357: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2065,type,
sK358: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_2066,type,
sK359: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2067,type,
sK360: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2068,type,
sK361: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2069,type,
sK362: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2070,type,
sK363: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2071,type,
sK364: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_2072,type,
sK365: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2073,type,
sK366: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2074,type,
sK367: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2075,type,
sK368: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2076,type,
sK369: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2077,type,
sK370: vEBT_VEBT > nat ).
tff(func_def_2078,type,
sK371: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2079,type,
sK372: list_VEBT_VEBT > nat ).
tff(func_def_2080,type,
sK373: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_2081,type,
sK374: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2082,type,
sK375: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2083,type,
sK376: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2084,type,
sK377: vEBT_VEBT > nat ).
tff(func_def_2085,type,
sK378: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2086,type,
sK379: list_VEBT_VEBT > nat ).
tff(func_def_2087,type,
sK380: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_2088,type,
sK381: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_2089,type,
sK382: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2090,type,
sK383: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2091,type,
sK384: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2092,type,
sK385: ( list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2093,type,
sK386: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2094,type,
sK387: list_VEBT_VEBT > nat ).
tff(func_def_2095,type,
sK388: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2096,type,
sK389: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2097,type,
sK390: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2098,type,
sK391: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2099,type,
sK392: ( list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2100,type,
sK393: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2101,type,
sK394: list_VEBT_VEBT > nat ).
tff(func_def_2102,type,
sK395: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2103,type,
sK396: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2104,type,
sK397: vEBT_VEBT > bool ).
tff(func_def_2105,type,
sK398: vEBT_VEBT > bool ).
tff(func_def_2106,type,
sK399: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2107,type,
sK400: list_VEBT_VEBT > nat ).
tff(func_def_2108,type,
sK401: vEBT_VEBT > nat ).
tff(func_def_2109,type,
sK402: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2110,type,
sK403: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2111,type,
sK404: list_VEBT_VEBT > nat ).
tff(func_def_2112,type,
sK405: vEBT_VEBT > nat ).
tff(func_def_2113,type,
sK406: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2114,type,
sK407: vEBT_VEBT > nat ).
tff(func_def_2115,type,
sK408: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2116,type,
sK409: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2117,type,
sK410: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2118,type,
sK411: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2119,type,
sK412: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2120,type,
sK413: list_VEBT_VEBT > nat ).
tff(func_def_2121,type,
sK414: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2122,type,
sK415: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2123,type,
sK416: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).
tff(func_def_2124,type,
sK417: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2125,type,
sK418: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2126,type,
sK419: list_VEBT_VEBT > vEBT_VEBT ).
tff(func_def_2127,type,
sK420: list_VEBT_VEBT > nat ).
tff(func_def_2128,type,
sK421: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_2129,type,
sK422: vEBT_VEBT > nat ).
tff(func_def_2130,type,
sK423: vEBT_VEBT > nat ).
tff(func_def_2131,type,
sK424: vEBT_VEBT > nat ).
tff(func_def_2132,type,
sK425: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2133,type,
sK426: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2134,type,
sK427: vEBT_VEBT > nat ).
tff(func_def_2135,type,
sK428: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2136,type,
sK429: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2137,type,
sK430: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_2138,type,
sK431: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_2139,type,
sK432: vEBT_VEBT > bool ).
tff(func_def_2140,type,
sK433: vEBT_VEBT > product_prod_nat_nat ).
tff(func_def_2141,type,
sK434: vEBT_VEBT > nat ).
tff(func_def_2142,type,
sK435: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2143,type,
sK436: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2144,type,
sK437: vEBT_VEBT > nat ).
tff(func_def_2145,type,
sK438: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2146,type,
sK439: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2147,type,
sK440: vEBT_VEBT > bool ).
tff(func_def_2148,type,
sK441: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2149,type,
sK442: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2150,type,
sK443: nat > nat ).
tff(func_def_2151,type,
sK444: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2152,type,
sK445: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2153,type,
sK446: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2154,type,
sK447: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).
tff(func_def_2155,type,
sK448: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).
tff(func_def_2156,type,
sK449: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).
tff(func_def_2157,type,
sK450: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).
tff(func_def_2158,type,
sK451: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2159,type,
sK452: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2160,type,
sK453: ( vEBT_VEBT * vEBT_VEBT ) > nat ).
tff(func_def_2161,type,
sK454: ( vEBT_VEBT * vEBT_VEBT ) > nat ).
tff(func_def_2162,type,
sK455: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2163,type,
sK456: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2164,type,
sK457: ( vEBT_VEBT * vEBT_VEBT ) > nat ).
tff(func_def_2165,type,
sK458: ( vEBT_VEBT * vEBT_VEBT ) > nat ).
tff(func_def_2166,type,
sK459: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2167,type,
sK460: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2168,type,
sK461: ( vEBT_VEBT * vEBT_VEBT ) > nat ).
tff(func_def_2169,type,
sK462: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_2170,type,
sK463: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_2171,type,
sK464: vEBT_VEBT > nat ).
tff(func_def_2172,type,
sK465: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2173,type,
sK466: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2174,type,
sK467: nat > nat ).
tff(func_def_2175,type,
sK468: vEBT_VEBT > bool ).
tff(func_def_2176,type,
sK469: vEBT_VEBT > bool ).
tff(func_def_2177,type,
sK470: vEBT_VEBT > bool ).
tff(func_def_2178,type,
sK471: vEBT_VEBT > bool ).
tff(func_def_2179,type,
sK472: vEBT_VEBT > bool ).
tff(func_def_2180,type,
sK473: vEBT_VEBT > bool ).
tff(func_def_2181,type,
sK474: ( vEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2182,type,
sK475: ( vEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2183,type,
sK476: ( vEBT_VEBT * nat * nat ) > nat ).
tff(func_def_2184,type,
sK477: ( vEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).
tff(func_def_2185,type,
sK478: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).
tff(func_def_2186,type,
sK479: vEBT_VEBT > nat ).
tff(func_def_2187,type,
sK480: vEBT_VEBT > nat ).
tff(func_def_2188,type,
sK481: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2189,type,
sK482: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2190,type,
sK483: vEBT_VEBT > nat ).
tff(func_def_2191,type,
sK484: vEBT_VEBT > nat ).
tff(func_def_2192,type,
sK485: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2193,type,
sK486: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2194,type,
sK487: fun_option_nat_bool > nat ).
tff(func_def_2195,type,
sK488: fun_option_nat_bool > option_nat ).
tff(func_def_2196,type,
sK489: fun_option_nat_bool > option_nat ).
tff(func_def_2197,type,
sK490: fun_option_nat_bool > nat ).
tff(func_def_2198,type,
sK491: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).
tff(func_def_2199,type,
sK492: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > nat ).
tff(func_def_2200,type,
sK493: real > real ).
tff(func_def_2201,type,
sK494: real > real ).
tff(func_def_2202,type,
sK495: real > real ).
tff(func_def_2203,type,
sK496: real > real ).
tff(func_def_2204,type,
sK497: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2205,type,
sK498: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).
tff(func_def_2206,type,
sK499: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2207,type,
sK500: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2208,type,
sK501: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).
tff(func_def_2209,type,
sK502: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2210,type,
sK503: real > real ).
tff(func_def_2211,type,
sK504: real > real ).
tff(func_def_2212,type,
sK505: real > real ).
tff(func_def_2213,type,
sK506: real > real ).
tff(func_def_2214,type,
sK507: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2215,type,
sK508: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).
tff(func_def_2216,type,
sK509: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2217,type,
sK510: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2218,type,
sK511: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).
tff(func_def_2219,type,
sK512: ( fun_real_bool * fun_real_bool * real ) > real ).
tff(func_def_2220,type,
sK513: real > real ).
tff(func_def_2221,type,
sK514: real > real ).
tff(func_def_2222,type,
sK515: real > real ).
tff(func_def_2223,type,
sK516: real > real ).
tff(func_def_2224,type,
sK517: ( real * real ) > real ).
tff(func_def_2225,type,
sK518: real > real ).
tff(func_def_2226,type,
sK519: real > real ).
tff(func_def_2227,type,
sK520: int > int ).
tff(func_def_2228,type,
sK521: int > int ).
tff(func_def_2229,type,
sK522: int > int ).
tff(func_def_2230,type,
sK523: int > int ).
tff(func_def_2231,type,
sK524: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2232,type,
sK525: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).
tff(func_def_2233,type,
sK526: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2234,type,
sK527: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2235,type,
sK528: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).
tff(func_def_2236,type,
sK529: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2237,type,
sK530: int > int ).
tff(func_def_2238,type,
sK531: int > int ).
tff(func_def_2239,type,
sK532: int > int ).
tff(func_def_2240,type,
sK533: int > int ).
tff(func_def_2241,type,
sK534: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2242,type,
sK535: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).
tff(func_def_2243,type,
sK536: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2244,type,
sK537: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2245,type,
sK538: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).
tff(func_def_2246,type,
sK539: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2247,type,
sK540: int > int ).
tff(func_def_2248,type,
sK541: int > int ).
tff(func_def_2249,type,
sK542: int > int ).
tff(func_def_2250,type,
sK543: int > int ).
tff(func_def_2251,type,
sK544: fun_nat_int > nat ).
tff(func_def_2252,type,
sK545: fun_nat_int > nat ).
tff(func_def_2253,type,
sK546: fun_nat_int > nat ).
tff(func_def_2254,type,
sK547: fun_nat_int > nat ).
tff(func_def_2255,type,
sK548: fun_int_bool > int ).
tff(func_def_2256,type,
sK549: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2257,type,
sK550: ( int * fun_int_bool ) > int ).
tff(func_def_2258,type,
sK551: ( int * fun_int_bool ) > int ).
tff(func_def_2259,type,
sK552: fun_int_bool > int ).
tff(func_def_2260,type,
sK553: ( fun_int_bool * fun_int_bool * int ) > int ).
tff(func_def_2261,type,
sK554: ( int * fun_int_bool ) > int ).
tff(func_def_2262,type,
sK555: ( int * fun_int_bool ) > int ).
tff(func_def_2263,type,
sK556: ( int * fun_int_bool ) > int ).
tff(func_def_2264,type,
sK557: ( int * fun_int_bool ) > int ).
tff(func_def_2265,type,
sK558: ( fun_int_bool * int ) > int ).
tff(func_def_2266,type,
sK559: ( fun_int_bool * int ) > int ).
tff(func_def_2267,type,
sK560: ( int * fun_int_bool ) > int ).
tff(func_def_2268,type,
sK561: ( int * fun_int_bool ) > int ).
tff(func_def_2269,type,
sK562: ( fun_int_bool * int ) > int ).
tff(func_def_2270,type,
sK563: ( fun_int_bool * int ) > int ).
tff(func_def_2271,type,
sK564: ( int * fun_int_bool ) > int ).
tff(func_def_2272,type,
sK565: ( fun_int_bool * int ) > int ).
tff(func_def_2273,type,
sK566: ( fun_int_bool * int ) > int ).
tff(func_def_2274,type,
sK567: ( int * fun_int_bool ) > int ).
tff(func_def_2275,type,
sK568: ( int * fun_int_bool ) > int ).
tff(func_def_2276,type,
sK569: vEBT_VEBT > bool ).
tff(func_def_2277,type,
sK570: vEBT_VEBT > product_prod_nat_nat ).
tff(func_def_2278,type,
sK571: vEBT_VEBT > nat ).
tff(func_def_2279,type,
sK572: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2280,type,
sK573: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2281,type,
sK574: vEBT_VEBT > nat ).
tff(func_def_2282,type,
sK575: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2283,type,
sK576: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2284,type,
sK577: vEBT_VEBT > bool ).
tff(func_def_2285,type,
sK578: vEBT_VEBT > nat ).
tff(func_def_2286,type,
sK579: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2287,type,
sK580: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2288,type,
sK581: vEBT_VEBT > product_prod_nat_nat ).
tff(func_def_2289,type,
sK582: vEBT_VEBT > nat ).
tff(func_def_2290,type,
sK583: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2291,type,
sK584: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2292,type,
sK585: vEBT_VEBT > nat ).
tff(func_def_2293,type,
sK586: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2294,type,
sK587: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2295,type,
sK588: vEBT_VEBT > bool ).
tff(func_def_2296,type,
sK589: vEBT_VEBT > bool ).
tff(func_def_2297,type,
sK590: ( fun_int_bool * real ) > int ).
tff(func_def_2298,type,
sK591: real > int ).
tff(func_def_2299,type,
sK592: int > nat ).
tff(func_def_2300,type,
sK593: int > nat ).
tff(func_def_2301,type,
sK594: int > nat ).
tff(func_def_2302,type,
sK595: int > nat ).
tff(func_def_2303,type,
sK596: int > nat ).
tff(func_def_2304,type,
sK597: int > nat ).
tff(func_def_2305,type,
sK598: ( int * int ) > nat ).
tff(func_def_2306,type,
sK599: int > nat ).
tff(func_def_2307,type,
sK600: int > nat ).
tff(func_def_2308,type,
sK601: int > nat ).
tff(func_def_2309,type,
sK602: int > nat ).
tff(func_def_2310,type,
sK603: fun_int_bool > nat ).
tff(func_def_2311,type,
sK604: fun_int_bool > nat ).
tff(func_def_2312,type,
sK605: int > nat ).
tff(func_def_2313,type,
sK606: int > nat ).
tff(func_def_2314,type,
sK607: ( real * real ) > nat ).
tff(func_def_2315,type,
sK608: real > nat ).
tff(func_def_2316,type,
sK609: ( real * real ) > nat ).
tff(func_def_2317,type,
sK610: ( real * real ) > nat ).
tff(func_def_2318,type,
sK611: real > nat ).
tff(func_def_2319,type,
sK612: real > nat ).
tff(func_def_2320,type,
sK613: vEBT_VEBT > product_prod_nat_nat ).
tff(func_def_2321,type,
sK614: vEBT_VEBT > nat ).
tff(func_def_2322,type,
sK615: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_2323,type,
sK616: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_2324,type,
sK617: vEBT_VEBT > bool ).
tff(func_def_2325,type,
sK618: vEBT_VEBT > bool ).
tff(func_def_2326,type,
sK619: fun_nat_fun_nat_bool > nat ).
tff(func_def_2327,type,
sK620: fun_nat_fun_nat_bool > nat ).
tff(func_def_2328,type,
sK621: fun_nat_fun_nat_bool > nat ).
tff(func_def_2329,type,
sK622: ( nat * fun_nat_bool * nat ) > nat ).
tff(func_def_2330,type,
sK623: ( nat * fun_nat_bool * nat ) > nat ).
tff(func_def_2331,type,
sK624: ( nat * nat * nat ) > nat ).
tff(func_def_2332,type,
sK625: ( nat * nat * nat ) > nat ).
tff(func_def_2333,type,
sK626: ( nat * nat * nat ) > nat ).
tff(func_def_2334,type,
sK627: ( nat * nat * nat ) > nat ).
tff(func_def_2335,type,
sK628: ( nat * nat * nat ) > nat ).
tff(func_def_2336,type,
sK629: ( nat * nat ) > nat ).
tff(func_def_2337,type,
sK630: ( fun_nat_bool * nat ) > nat ).
tff(func_def_2338,type,
sK631: int > int ).
tff(func_def_2339,type,
sK632: ( int * int ) > int ).
tff(func_def_2340,type,
sK633: int > int ).
tff(func_def_2341,type,
sK634: ( fun_int_bool * int ) > int ).
tff(func_def_2342,type,
sK635: ( fun_int_bool * int ) > int ).
tff(func_def_2343,type,
sK636: ( int * int ) > int ).
tff(func_def_2344,type,
sK637: ( int * int ) > int ).
tff(func_def_2345,type,
sK638: ( int * int ) > int ).
tff(func_def_2346,type,
sK639: ( int * int ) > int ).
tff(func_def_2347,type,
sK640: ( int * int ) > int ).
tff(func_def_2348,type,
sK641: ( int * int ) > int ).
tff(func_def_2349,type,
sK642: ( int * int ) > int ).
tff(func_def_2350,type,
sK643: ( int * int * int ) > int ).
tff(func_def_2351,type,
sK644: ( int * int * int ) > int ).
tff(func_def_2352,type,
sK645: ( int * int * int ) > int ).
tff(func_def_2353,type,
sK646: ( int * int * int ) > int ).
tff(func_def_2354,type,
sK647: ( nat * fun_nat_int * int ) > nat ).
tff(func_def_2355,type,
sK648: ( nat * fun_nat_int ) > nat ).
tff(func_def_2356,type,
sK649: ( nat * fun_nat_int * int ) > nat ).
tff(func_def_2357,type,
sK650: ( nat * fun_nat_int ) > nat ).
tff(func_def_2358,type,
sK651: ( fun_nat_int * nat * nat ) > nat ).
tff(func_def_2359,type,
sK652: ( nat * nat * fun_nat_int * int ) > nat ).
tff(func_def_2360,type,
sK653: fun_int_fun_int_bool > int ).
tff(func_def_2361,type,
sK654: ( int * fun_int_fun_int_bool * int ) > int ).
tff(func_def_2362,type,
sK655: ( int * fun_int_fun_int_bool * int ) > int ).
tff(func_def_2363,type,
sK656: ( int * fun_int_fun_int_bool * int ) > int ).
tff(func_def_2364,type,
sK657: ( int * fun_int_fun_int_bool * int ) > int ).
tff(func_def_2365,type,
sK658: ( fun_int_bool * int * int ) > int ).
tff(func_def_2366,type,
sK659: ( fun_int_bool * int * int ) > int ).
tff(func_def_2367,type,
sK660: ( fun_int_bool * int * int ) > int ).
tff(func_def_2368,type,
sK661: ( fun_int_bool * int * int ) > int ).
tff(func_def_2369,type,
sK662: ( int * int ) > int ).
tff(func_def_2370,type,
sK663: ( int * int ) > int ).
tff(func_def_2371,type,
sK664: ( int * int * int ) > int ).
tff(func_def_2372,type,
sK665: ( fun_int_bool * int * int ) > int ).
tff(func_def_2373,type,
sK666: ( fun_int_bool * int * int ) > int ).
tff(func_def_2374,type,
sK667: ( fun_int_bool * int * int ) > int ).
tff(func_def_2375,type,
sK668: ( fun_int_bool * int * int ) > int ).
tff(func_def_2376,type,
sK669: ( fun_int_bool * real ) > int ).
tff(func_def_2377,type,
sK670: real > int ).
tff(func_def_2378,type,
sK671: real > int ).
tff(func_def_2379,type,
sK672: real > int ).
tff(func_def_2380,type,
sK673: real > int ).
tff(func_def_2381,type,
sK674: real > int ).
tff(func_def_2382,type,
sK675: real > int ).
tff(func_def_2383,type,
sK676: ( fun_re1255401033344146673l_bool * real * real ) > real ).
tff(func_def_2384,type,
sK677: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).
tff(func_def_2385,type,
sK678: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).
tff(func_def_2386,type,
sK679: fun_re1255401033344146673l_bool > real ).
tff(func_def_2387,type,
sK680: fun_re1255401033344146673l_bool > real ).
tff(func_def_2388,type,
sK681: fun_re1255401033344146673l_bool > real ).
tff(func_def_2389,type,
sK682: ( real * fun_real_bool ) > real ).
tff(func_def_2390,type,
sK683: ( real * fun_real_bool ) > real ).
tff(func_def_2391,type,
sK684: ( fun_real_bool * real ) > real ).
tff(func_def_2392,type,
sK685: ( fun_real_bool * real ) > real ).
tff(func_def_2393,type,
sK686: ( real * fun_real_bool ) > real ).
tff(func_def_2394,type,
sK687: ( real * fun_real_bool ) > real ).
tff(func_def_2395,type,
sK688: ( fun_real_bool * real ) > real ).
tff(func_def_2396,type,
sK689: ( fun_real_bool * real ) > real ).
tff(func_def_2397,type,
sK690: fun_int_bool > int ).
tff(func_def_2398,type,
sK691: fun_int_bool > bool ).
tff(func_def_2399,type,
sK692: fun_int_bool > int ).
tff(func_def_2400,type,
sK693: fun_nat_bool > nat ).
tff(func_def_2401,type,
sK694: fun_nat_bool > bool ).
tff(func_def_2402,type,
sK695: fun_nat_bool > nat ).
tff(func_def_2403,type,
sK696: fun_re1255401033344146673l_bool > real ).
tff(func_def_2404,type,
sK697: ( real * real * real ) > real ).
tff(func_def_2405,type,
sK698: ( real * real * real ) > real ).
tff(func_def_2406,type,
sK699: real > real ).
tff(func_def_2407,type,
sK700: set_int > int ).
tff(func_def_2408,type,
sK701: set_int > int ).
tff(func_def_2409,type,
sK702: set_int > int ).
tff(func_def_2410,type,
sK703: set_int > int ).
tff(func_def_2411,type,
sK704: ( fun_set_int_bool * fun_int_nat ) > int ).
tff(func_def_2412,type,
sK705: ( fun_set_int_bool * fun_int_nat ) > set_int ).
tff(func_def_2413,type,
sK706: fun_set_int_bool > int ).
tff(func_def_2414,type,
sK707: fun_set_int_bool > set_int ).
tff(func_def_2415,type,
sK708: fun_set_int_bool > int ).
tff(func_def_2416,type,
sK709: fun_set_int_bool > set_int ).
tff(func_def_2417,type,
sK710: fun_set_int_bool > int ).
tff(func_def_2418,type,
sK711: fun_set_int_bool > set_int ).
tff(func_def_2419,type,
sK712: fun_set_int_bool > set_int ).
tff(func_def_2420,type,
sK713: real > nat ).
tff(func_def_2421,type,
sK714: real > nat ).
tff(func_def_2422,type,
sK715: real > nat ).
tff(func_def_2423,type,
sK716: real > int ).
tff(func_def_2424,type,
sK717: real > nat ).
tff(func_def_2425,type,
sK718: real > nat ).
tff(func_def_2426,type,
sK719: real > int ).
tff(func_def_2427,type,
sK720: real > real ).
tff(func_def_2428,type,
sK721: real ).
tff(func_def_2429,type,
sK722: real > nat ).
tff(func_def_2430,type,
sK723: real > nat ).
tff(func_def_2431,type,
sK724: real > nat ).
tff(func_def_2432,type,
sK725: real > int ).
tff(func_def_2433,type,
sK726: real > real ).
tff(func_def_2434,type,
sK727: ( real * real ) > real ).
tff(func_def_2435,type,
sK728: ( real * real ) > real ).
tff(func_def_2436,type,
sK729: ( real * real ) > real ).
tff(func_def_2437,type,
sK730: ( real * real ) > real ).
tff(func_def_2438,type,
sK731: real > int ).
tff(func_def_2439,type,
sK732: real > real ).
tff(func_def_2440,type,
sK733: ( real * real ) > real ).
tff(func_def_2441,type,
sK734: ( real * real ) > real ).
tff(func_def_2442,type,
sK735: ( set_int * int ) > int ).
tff(func_def_2443,type,
sK736: ( set_int * int ) > int ).
tff(func_def_2444,type,
sK737: ( nat * fun_nat_bool ) > nat ).
tff(func_def_2445,type,
sK738: ( nat * fun_nat_bool ) > nat ).
tff(func_def_2446,type,
sK739: ( nat * fun_nat_bool ) > nat ).
tff(func_def_2447,type,
sK740: ( nat * fun_nat_bool ) > nat ).
tff(pred_def_1,type,
differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).
tff(pred_def_2,type,
has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).
tff(pred_def_3,type,
has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).
tff(pred_def_4,type,
unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).
tff(pred_def_5,type,
eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).
tff(pred_def_6,type,
eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).
tff(pred_def_7,type,
eventually_real: ( fun_real_bool * filter_real ) > $o ).
tff(pred_def_8,type,
filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).
tff(pred_def_9,type,
filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).
tff(pred_def_10,type,
filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).
tff(pred_def_11,type,
finite_finite_bool: set_bool > $o ).
tff(pred_def_12,type,
finite8712137658972009173omplex: set_list_complex > $o ).
tff(pred_def_13,type,
finite7866827932528546246t_bool: set_list_bool > $o ).
tff(pred_def_14,type,
finite3922522038869484883st_int: set_list_int > $o ).
tff(pred_def_15,type,
finite8100373058378681591st_nat: set_list_nat > $o ).
tff(pred_def_16,type,
finite306553202115118035t_real: set_list_real > $o ).
tff(pred_def_17,type,
finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).
tff(pred_def_18,type,
finite1152437895449049373et_nat: set_set_nat > $o ).
tff(pred_def_19,type,
finite9007344921179782393t_real: set_set_real > $o ).
tff(pred_def_20,type,
semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_21,type,
bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).
tff(pred_def_22,type,
ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).
tff(pred_def_23,type,
ord_le7926960851185191020t_real: ( set_set_real * set_set_real ) > $o ).
tff(pred_def_24,type,
ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).
tff(pred_def_25,type,
ord_less_eq_set_bool: ( set_bool * set_bool ) > $o ).
tff(pred_def_26,type,
ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).
tff(pred_def_27,type,
ord_le3558479182127378552t_real: ( set_set_real * set_set_real ) > $o ).
tff(pred_def_28,type,
order_9091379641038594480t_real: fun_nat_real > $o ).
tff(pred_def_29,type,
order_mono_nat_nat: fun_nat_nat > $o ).
tff(pred_def_30,type,
order_mono_nat_real: fun_nat_real > $o ).
tff(pred_def_31,type,
order_5726023648592871131at_nat: fun_nat_nat > $o ).
tff(pred_def_32,type,
order_7092887310737990675l_real: fun_real_real > $o ).
tff(pred_def_33,type,
real_V5970128139526366754l_real: fun_real_real > $o ).
tff(pred_def_34,type,
summable_complex: fun_nat_complex > $o ).
tff(pred_def_35,type,
summable_int: fun_nat_int > $o ).
tff(pred_def_36,type,
summable_nat: fun_nat_nat > $o ).
tff(pred_def_37,type,
summable_real: fun_nat_real > $o ).
tff(pred_def_38,type,
topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).
tff(pred_def_39,type,
topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).
tff(pred_def_40,type,
topolo4899668324122417113eq_int: fun_nat_int > $o ).
tff(pred_def_41,type,
topolo4902158794631467389eq_nat: fun_nat_nat > $o ).
tff(pred_def_42,type,
topolo1459490580787246023eq_num: fun_nat_num > $o ).
tff(pred_def_43,type,
topolo6980174941875973593q_real: fun_nat_real > $o ).
tff(pred_def_44,type,
topolo7278393974255667507et_nat: fun_nat_set_nat > $o ).
tff(pred_def_45,type,
topolo2489691266198938127t_real: fun_nat_set_real > $o ).
tff(pred_def_46,type,
topolo7531315842566124627t_real: fun_nat_real > $o ).
tff(pred_def_47,type,
topolo4055970368930404560y_real: fun_nat_real > $o ).
tff(pred_def_48,type,
accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).
tff(pred_def_49,type,
member_bool: ( bool * set_bool ) > $o ).
tff(pred_def_50,type,
member_list_bool: ( list_bool * set_list_bool ) > $o ).
tff(pred_def_51,type,
member_list_int: ( list_int * set_list_int ) > $o ).
tff(pred_def_52,type,
member_list_nat: ( list_nat * set_list_nat ) > $o ).
tff(pred_def_53,type,
member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).
tff(pred_def_54,type,
member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).
tff(pred_def_55,type,
member_set_nat: ( set_nat * set_set_nat ) > $o ).
tff(pred_def_56,type,
member_set_real: ( set_real * set_set_real ) > $o ).
tff(pred_def_57,type,
pp: bool > $o ).
tff(pred_def_58,type,
sP0: ( option_nat * vEBT_VEBT ) > $o ).
tff(pred_def_59,type,
sP1: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_60,type,
sP2: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_61,type,
sP3: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_62,type,
sP4: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_63,type,
sP5: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_64,type,
sP6: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_65,type,
sP7: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_66,type,
sP8: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(pred_def_67,type,
sP9: ( real * num * real ) > $o ).
tff(pred_def_68,type,
sP10: ( real * real * num ) > $o ).
tff(pred_def_69,type,
sP11: ( real * num * real ) > $o ).
tff(pred_def_70,type,
sP12: ( real * real * num ) > $o ).
tff(pred_def_71,type,
sP13: ( real * real * real ) > $o ).
tff(pred_def_72,type,
sP14: ( real * real * real ) > $o ).
tff(pred_def_73,type,
sP15: ( real * real * real ) > $o ).
tff(pred_def_74,type,
sP16: ( real * real * real ) > $o ).
tff(pred_def_75,type,
sP17: fun_int_bool > $o ).
tff(pred_def_76,type,
sP18: ( real * num * real ) > $o ).
tff(pred_def_77,type,
sP19: ( real * real * num ) > $o ).
tff(pred_def_78,type,
sP20: ( real * num * real ) > $o ).
tff(pred_def_79,type,
sP21: ( real * real * num ) > $o ).
tff(pred_def_80,type,
sP22: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_81,type,
sP23: ( option_nat * vEBT_VEBT ) > $o ).
tff(pred_def_82,type,
sP24: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_83,type,
sP25: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_84,type,
sP26: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_85,type,
sP27: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_86,type,
sP28: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_87,type,
sP29: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_88,type,
sP30: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_89,type,
sP31: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_90,type,
sP32: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_91,type,
sP33: ( list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_92,type,
sP34: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_93,type,
sP35: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_94,type,
sP36: ( list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_95,type,
sP37: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_96,type,
sP38: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_97,type,
sP39: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_98,type,
sP40: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_99,type,
sP41: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_100,type,
sP42: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_101,type,
sP43: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_102,type,
sP44: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).
tff(pred_def_103,type,
sP45: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).
tff(pred_def_104,type,
sP46: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_105,type,
sP47: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_106,type,
sP48: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).
tff(pred_def_107,type,
sP49: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).
tff(pred_def_108,type,
sP50: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).
tff(pred_def_109,type,
sP51: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).
tff(pred_def_110,type,
sP52: ( nat * nat * vEBT_VEBT ) > $o ).
tff(pred_def_111,type,
sP53: ( nat * nat * vEBT_VEBT ) > $o ).
tff(pred_def_112,type,
sP54: ( nat * nat * vEBT_VEBT ) > $o ).
tff(pred_def_113,type,
sP55: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_114,type,
sP56: ( option_nat * option_nat * fun_op7792301606653096457t_bool ) > $o ).
tff(pred_def_115,type,
sP57: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_116,type,
sP58: ( fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_117,type,
sP59: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_118,type,
sP60: ( fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_119,type,
sP61: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_120,type,
sP62: ( fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_121,type,
sP63: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_122,type,
sP64: ( fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_123,type,
sP65: ( real * real * real ) > $o ).
tff(pred_def_124,type,
sP66: ( real * real * real ) > $o ).
tff(pred_def_125,type,
sP67: ( real * real * real ) > $o ).
tff(pred_def_126,type,
sP68: ( real * real * real ) > $o ).
tff(pred_def_127,type,
sP69: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_128,type,
sP70: ( fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_129,type,
sP71: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_130,type,
sP72: ( fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_131,type,
sP73: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_132,type,
sP74: ( fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_133,type,
sP75: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_134,type,
sP76: ( fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_135,type,
sP77: ( int * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_136,type,
sP78: ( int * fun_int_bool * fun_int_bool ) > $o ).
tff(pred_def_137,type,
sP79: ( fun_int_bool * int ) > $o ).
tff(pred_def_138,type,
sP80: ( bool * vEBT_VEBT ) > $o ).
tff(pred_def_139,type,
sP81: ( bool * vEBT_VEBT ) > $o ).
tff(pred_def_140,type,
sP82: ( bool * vEBT_VEBT ) > $o ).
tff(pred_def_141,type,
sP83: ( nat * fun_nat_bool * nat ) > $o ).
tff(pred_def_142,type,
sP84: ( fun_nat_int * nat * nat ) > $o ).
tff(pred_def_143,type,
sP85: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_144,type,
sP86: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_145,type,
sP87: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_146,type,
sP88: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_147,type,
sP89: ( fun_re1255401033344146673l_bool * real * real ) > $o ).
tff(pred_def_148,type,
sP90: ( real * fun_real_bool * fun_real_bool ) > $o ).
tff(pred_def_149,type,
sP91: ( real * fun_real_bool * fun_real_bool ) > $o ).
tff(f1,axiom,
xa = mi,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).
tff(f5,axiom,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_False) ).
tff(f10,axiom,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_one__add__one) ).
tff(f428,axiom,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(suc,X1)) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_427_add__Suc__right) ).
tff(f437,axiom,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(suc,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_436_add__2__eq__Suc_H) ).
tff(f438,axiom,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0) = aa_nat_nat(suc,aa_nat_nat(suc,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_437_add__2__eq__Suc) ).
tff(f439,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_Suc__1) ).
tff(f447,axiom,
! [X0: nat] : ( X0 != aa_nat_nat(suc,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_446_n__not__Suc__n) ).
tff(f466,axiom,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,X0)),X1) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_465_add__Suc) ).
tff(f513,axiom,
! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_512_Suc__eq__plus1__left) ).
tff(f552,axiom,
! [X0: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,X0))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_551_Suc3__eq__add__3) ).
tff(f1259,axiom,
! [X0: nat,X1: nat,X2: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)),X2) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1258_ab__semigroup__add__class_Oadd__ac_I1_J) ).
tff(f1273,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( X0 = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2) )
=> ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1272_group__cancel_Oadd2) ).
tff(f1291,axiom,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1290_add_Ocommute) ).
tff(f1572,axiom,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1571__C3_C) ).
tff(f1622,axiom,
! [X0: nat] :
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
<=> ( X0 = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1621_not__gr__zero) ).
tff(f2879,axiom,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2878_numeral__3__eq__3) ).
tff(f4750,axiom,
! [X0: bool] :
( ( pp(X0)
=> ( zero_n2687167440665602831ol_nat(X0) = one_one_nat ) )
& ( ~ pp(X0)
=> ( zero_n2687167440665602831ol_nat(X0) = zero_zero_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4749_of__bool__def) ).
tff(f6880,axiom,
! [X0: num] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,X0))),one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6879_or__numerals_I5_J) ).
tff(f6930,axiom,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X0),X1) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6929_or_Ocommute) ).
tff(f7078,axiom,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X0),one_one_nat) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7077_or__one__eq) ).
tff(f9320,axiom,
aa_int_nat(nat2,one_one_int) = aa_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9319_nat__1) ).
tff(f9360,axiom,
one_one_nat = aa_int_nat(nat2,one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9359_nat__one__as__int) ).
tff(f10781,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
tff(f10788,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f10794,axiom,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Nat__Onat_T) ).
tff(f10837,axiom,
! [X0: bool] :
( ( X0 = fTrue )
| ( X0 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).
tff(f10843,conjecture,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f10844,negated_conjecture,
( ( ~ aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) ) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),one_one_nat) ),
inference(negated_conjecture,[status(cth)],[f10843]) ).
tff(f10845,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),one_one_nat),
inference(flattening,[],[f10844]) ).
tff(f10984,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X2)) )
| ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2) != X0 ) ),
inference(ennf_transformation,[],[f1273]) ).
tff(f13165,plain,
! [X0: bool] :
( ( ( zero_n2687167440665602831ol_nat(X0) = one_one_nat )
| ~ pp(X0) )
& ( ( zero_n2687167440665602831ol_nat(X0) = zero_zero_nat )
| pp(X0) ) ),
inference(ennf_transformation,[],[f4750]) ).
tff(f13771,plain,
! [X0: nat] :
( ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
| ( zero_zero_nat != X0 ) )
& ( ( X0 = zero_zero_nat )
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0)) ) ),
inference(nnf_transformation,[],[f1622]) ).
tff(f15631,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),one_one_nat),
inference(cnf_transformation,[],[f10845]) ).
tff(f15657,plain,
! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X0) ),
inference(cnf_transformation,[],[f513]) ).
tff(f15658,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,one_one_nat),
inference(cnf_transformation,[],[f439]) ).
tff(f15671,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f10]) ).
tff(f15786,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0) ),
inference(cnf_transformation,[],[f1291]) ).
tff(f15788,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X2)) )
| ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2) != X0 ) ),
inference(cnf_transformation,[],[f10984]) ).
tff(f15791,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)),X2) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)) ),
inference(cnf_transformation,[],[f1259]) ).
tff(f15834,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,X0)),X1) ),
inference(cnf_transformation,[],[f466]) ).
tff(f15836,plain,
! [X0: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,X0)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0) ),
inference(cnf_transformation,[],[f438]) ).
tff(f15837,plain,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(suc,X0)) ),
inference(cnf_transformation,[],[f437]) ).
tff(f15842,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(suc,X1)) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)) ),
inference(cnf_transformation,[],[f428]) ).
tff(f15865,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat))),
inference(cnf_transformation,[],[f2879]) ).
tff(f15873,plain,
! [X0: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,X0))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),X0) ),
inference(cnf_transformation,[],[f552]) ).
tff(f15963,plain,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),
inference(cnf_transformation,[],[f5]) ).
tff(f15971,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),xa) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)),
inference(cnf_transformation,[],[f1572]) ).
tff(f15974,plain,
xa = mi,
inference(cnf_transformation,[],[f1]) ).
tff(f16069,plain,
! [X0: nat] : ( aa_nat_nat(suc,X0) != X0 ),
inference(cnf_transformation,[],[f447]) ).
tff(f16152,plain,
! [X0: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X0))
| ( zero_zero_nat = X0 ) ),
inference(cnf_transformation,[],[f13771]) ).
tff(f19609,plain,
one_one_nat = aa_int_nat(nat2,one_one_int),
inference(cnf_transformation,[],[f9360]) ).
tff(f19634,plain,
aa_nat_nat(suc,zero_zero_nat) = aa_int_nat(nat2,one_one_int),
inference(cnf_transformation,[],[f9320]) ).
tff(f19636,plain,
! [X0: bool] :
( ( fTrue = X0 )
| ( fFalse = X0 ) ),
inference(cnf_transformation,[],[f10837]) ).
tff(f19637,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),X0),X1) = X1 ),
inference(cnf_transformation,[],[f10794]) ).
tff(f19638,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f10788]) ).
tff(f20015,plain,
pp(fTrue),
inference(cnf_transformation,[],[f10781]) ).
tff(f21259,plain,
! [X0: bool] :
( pp(X0)
| ( zero_zero_nat = zero_n2687167440665602831ol_nat(X0) ) ),
inference(cnf_transformation,[],[f13165]) ).
tff(f21295,plain,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0))) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X0),one_one_nat) ),
inference(cnf_transformation,[],[f7078]) ).
tff(f21304,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X0),X1) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,X1),X0) ),
inference(cnf_transformation,[],[f6930]) ).
tff(f21310,plain,
! [X0: num] : ( aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,X0)) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,X0))),one_one_nat) ),
inference(cnf_transformation,[],[f6880]) ).
tff(f22138,plain,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),one_one_nat) != aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi),
inference(definition_unfolding,[],[f15631,f15974]) ).
tff(f22144,plain,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)) = aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi),
inference(definition_unfolding,[],[f15971,f15974]) ).
tff(f22626,plain,
! [X2: nat,X3: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),X2)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)) ),
inference(equality_resolution,[],[f15788]) ).
tff(f24453,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(suc,aa_nat_nat(suc,aa_int_nat(nat2,one_one_int))),
inference(forward_demodulation,[],[f15865,f19634]) ).
tff(f24468,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),
inference(forward_demodulation,[],[f22138,f15791]) ).
tff(f25011,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)),
inference(forward_demodulation,[],[f24453,f19609]) ).
tff(f25020,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))),
inference(forward_demodulation,[],[f24468,f15791]) ).
tff(f25353,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),
inference(forward_demodulation,[],[f25020,f15791]) ).
tff(f25563,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),
inference(forward_demodulation,[],[f25353,f15791]) ).
tff(f25683,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))))),
inference(forward_demodulation,[],[f25563,f15791]) ).
tff(f25746,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))),
inference(forward_demodulation,[],[f25683,f15791]) ).
tff(f25767,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))),
inference(forward_demodulation,[],[f25746,f15873]) ).
tff(f25782,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25767,f15873]) ).
tff(f25789,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25782,f22626]) ).
tff(f25796,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25789,f22626]) ).
tff(f25803,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25796,f22626]) ).
tff(f25810,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25803,f22626]) ).
tff(f25811,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25810,f22626]) ).
tff(f25812,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25811,f22626]) ).
tff(f25813,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25812,f22626]) ).
tff(f25814,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25813,f22626]) ).
tff(f25815,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))),
inference(forward_demodulation,[],[f25814,f15657]) ).
tff(f25816,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))),
inference(forward_demodulation,[],[f25815,f15786]) ).
tff(f25817,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))),
inference(forward_demodulation,[],[f25816,f22626]) ).
tff(f25818,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))),
inference(forward_demodulation,[],[f25817,f22626]) ).
tff(f25819,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))),
inference(forward_demodulation,[],[f25818,f22626]) ).
tff(f25820,plain,
aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) != aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))),
inference(forward_demodulation,[],[f25819,f15657]) ).
tff(f25825,plain,
! [X0: bool,X1: bool] :
( ( X0 = X1 )
| ( fFalse = X1 )
| ( fFalse = X0 ) ),
inference(superposition,[],[f19636,f19636]) ).
tff(f25834,definition,
( spl741_5
<=> ! [X0: bool] : ( fFalse = X0 ) ),
introduced(definition,[new_symbols(definition,[spl741_5])],[avatar_definition]) ).
tff(f25835,plain,
( ! [X0: bool] : ( fFalse = X0 )
| ~ spl741_5 ),
inference(avatar_component_clause,[],[f25834]) ).
tff(f25849,plain,
( ~ pp(fTrue)
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = fFalse ) ),
inference(superposition,[],[f15963,f19636]) ).
tff(f25850,plain,
aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = fFalse,
inference(forward_subsumption_resolution,[],[f25849,f20015]) ).
tff(f25854,plain,
fFalse = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)),
inference(forward_demodulation,[],[f25850,f15671]) ).
tff(f25858,plain,
fFalse = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)),
inference(forward_demodulation,[],[f25854,f15657]) ).
tff(f25859,plain,
fFalse = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)),
inference(forward_demodulation,[],[f25858,f15786]) ).
tff(f25909,plain,
zero_zero_nat = zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList))),
inference(resolution,[],[f21259,f15963]) ).
tff(f25913,plain,
zero_zero_nat = zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
inference(forward_demodulation,[],[f25909,f15671]) ).
tff(f25914,plain,
zero_zero_nat = zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
inference(forward_demodulation,[],[f25913,f15657]) ).
tff(f25915,plain,
zero_zero_nat = zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
inference(forward_demodulation,[],[f25914,f15786]) ).
tff(f25916,plain,
zero_zero_nat = zero_n2687167440665602831ol_nat(fFalse),
inference(forward_demodulation,[],[f25915,f25859]) ).
tff(f27864,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X2),X0)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)) ),
inference(superposition,[],[f22626,f15786]) ).
tff(f27868,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X2))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2))) ),
inference(superposition,[],[f22626,f22626]) ).
tff(f27869,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(suc,aa_nat_nat(suc,X0))) ),
inference(superposition,[],[f22626,f15837]) ).
tff(f27940,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(suc,X0))) ),
inference(forward_demodulation,[],[f27869,f15842]) ).
tff(f27971,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))) ),
inference(forward_demodulation,[],[f27940,f15842]) ).
tff(f27992,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(suc,aa_nat_nat(suc,X1))) ),
inference(forward_demodulation,[],[f27971,f15837]) ).
tff(f28001,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(suc,X1))) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))) ),
inference(forward_demodulation,[],[f27992,f15842]) ).
tff(f28004,plain,
! [X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1))) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))) ),
inference(forward_demodulation,[],[f28001,f15842]) ).
tff(f30627,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))),X2)) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)))),X2) ),
inference(superposition,[],[f15834,f28004]) ).
tff(f30640,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))),X2)) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1))),X2)) ),
inference(forward_demodulation,[],[f30627,f15834]) ).
tff(f30653,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))),X2)) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X1)),X2))) ),
inference(forward_demodulation,[],[f30640,f15834]) ).
tff(f30657,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0))),X2)) ),
inference(forward_demodulation,[],[f30653,f15791]) ).
tff(f30660,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)))) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X0)),X2))) ),
inference(forward_demodulation,[],[f30657,f15834]) ).
tff(f30662,plain,
! [X2: nat,X0: nat,X1: nat] : ( aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),X2)))) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2)))) ),
inference(forward_demodulation,[],[f30660,f15791]) ).
tff(f31314,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_nat_nat(suc,one_one_nat)),one_one_nat),
inference(superposition,[],[f21310,f15658]) ).
tff(f31321,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,one_one_nat),aa_nat_nat(suc,one_one_nat)),
inference(forward_demodulation,[],[f31314,f21304]) ).
tff(f31323,plain,
aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,one_one_nat),aa_nat_nat(suc,one_one_nat)),
inference(forward_demodulation,[],[f31321,f25011]) ).
tff(f33855,plain,
aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),one_one_nat) = aa_nat_nat(suc,aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
inference(superposition,[],[f15836,f21295]) ).
tff(f33856,plain,
aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),one_one_nat) = aa_nat_nat(suc,aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),
inference(forward_demodulation,[],[f33855,f15671]) ).
tff(f33908,plain,
aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,aa_nat_nat(suc,one_one_nat)),one_one_nat) = aa_nat_nat(suc,aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(suc,one_one_nat))))),
inference(forward_demodulation,[],[f33856,f15657]) ).
tff(f33959,plain,
aa_nat_nat(aa_nat_fun_nat_nat(bit_se1412395901928357646or_nat,one_one_nat),aa_nat_nat(suc,one_one_nat)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(suc,one_one_nat))))),
inference(forward_demodulation,[],[f33908,f21304]) ).
tff(f33972,plain,
aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(suc,one_one_nat))))),
inference(forward_demodulation,[],[f33959,f31323]) ).
tff(f33992,plain,
aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) != aa_nat_nat(suc,zero_n2687167440665602831ol_nat(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(suc,one_one_nat)))),
inference(superposition,[],[f16069,f33972]) ).
tff(f58742,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(superposition,[],[f22144,f25825]) ).
tff(f59044,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f58742,f15791]) ).
tff(f59210,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59044,f15791]) ).
tff(f59376,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59210,f15791]) ).
tff(f59542,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59376,f15791]) ).
tff(f59708,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59542,f15791]) ).
tff(f59874,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59708,f15791]) ).
tff(f60040,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,one))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f59874,f15873]) ).
tff(f60206,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60040,f15873]) ).
tff(f60371,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60206,f30662]) ).
tff(f60536,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60371,f22626]) ).
tff(f60701,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60536,f27868]) ).
tff(f60866,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60701,f27868]) ).
tff(f61031,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f60866,f27868]) ).
tff(f61196,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(fFalse),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,one)))),aa_nat_nat(vEBT_T_d_e_l_e_t_e(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_i_n_N_u_l_l,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_VEBT_VEBT_bool(vEBT_VEBT_minNull,vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(vEBT_T_d_e_l_e_t_e(summary),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_option_nat_bool(aa_opt7943525813896274546t_bool(fequal_option_nat,vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))),none_nat)),one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit0,aa_num_num(bit0,one))))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))))))))),one_one_nat)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(aa_nat_fun_nat_nat(if_nat(aa_nat_bool(aa_nat_fun_nat_bool(fequal_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,aa_num_num(bit1,one)))),aa_VEBT_VEBT_nat(vEBT_T_m_a_x_t,nth_VEBT_VEBT(list_u1324408373059187874T_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),vEBT_vebt_delete(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),one_one_nat)))))),one_one_nat)))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61031,f15657]) ).
tff(f61361,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))),one_one_nat))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61196,f19637]) ).
tff(f61522,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61361,f27864]) ).
tff(f61680,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61522,f27868]) ).
tff(f61837,plain,
! [X0: bool] :
( ( aa_nat_nat(vEBT_T_d_e_l_e_t_e(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),mi) = aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,summary)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit1,one)))),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_VEBT_VEBT_nat(vEBT_T_m_i_n_t,nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit1,aa_num_num(bit0,aa_num_num(bit1,one))))))))))))))) )
| ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61680,f15657]) ).
tff(f61994,plain,
! [X0: bool] :
( ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),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(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_subsumption_resolution,[],[f61837,f25820]) ).
tff(f62151,plain,
! [X0: bool] :
( ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f61994,f15671]) ).
tff(f62308,plain,
! [X0: bool] :
( ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary))))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f62151,f15657]) ).
tff(f62465,plain,
! [X0: bool] :
( ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,the_nat(vEBT_vebt_mint(nth_VEBT_VEBT(treeList,the_nat(vEBT_vebt_mint(summary)))))),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,the_nat(vEBT_vebt_mint(summary))),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))))),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList)) = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f62308,f15786]) ).
tff(f62622,plain,
! [X0: bool] :
( ( fFalse = X0 )
| ( fFalse = X0 ) ),
inference(forward_demodulation,[],[f62465,f25859]) ).
tff(f62623,plain,
! [X0: bool] : ( fFalse = X0 ),
inference(duplicate_literal_removal,[],[f62622]) ).
tff(f62781,plain,
spl741_5,
inference(avatar_split_clause,[],[f62623,f25834]) ).
tff(f65498,plain,
( ! [X0: nat] :
( pp(fFalse)
| ( zero_zero_nat = X0 ) )
| ~ spl741_5 ),
inference(superposition,[],[f16152,f25835]) ).
tff(f65746,plain,
( ( aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) != aa_nat_nat(suc,zero_n2687167440665602831ol_nat(fFalse)) )
| ~ spl741_5 ),
inference(superposition,[],[f33992,f25835]) ).
tff(f65986,plain,
( ( aa_nat_nat(suc,zero_zero_nat) != aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) )
| ~ spl741_5 ),
inference(forward_demodulation,[],[f65746,f25916]) ).
tff(f66152,plain,
( ! [X0: nat] : ( zero_zero_nat = X0 )
| ~ spl741_5 ),
inference(forward_subsumption_resolution,[],[f65498,f19638]) ).
tff(f66197,plain,
( ( aa_int_nat(nat2,one_one_int) != aa_nat_nat(suc,aa_nat_nat(suc,one_one_nat)) )
| ~ spl741_5 ),
inference(forward_demodulation,[],[f65986,f19634]) ).
tff(f66251,plain,
( ( zero_zero_nat != aa_int_nat(nat2,one_one_int) )
| ~ spl741_5 ),
inference(forward_demodulation,[],[f66197,f66152]) ).
tff(f66253,plain,
( $false
| ~ spl741_5 ),
inference(forward_subsumption_resolution,[],[f66251,f66152]) ).
tff(f66254,plain,
~ spl741_5,
inference(avatar_contradiction_clause,[],[f66253]) ).
cnf(s133,plain,
spl741_5,
inference(sat_conversion,[],[f62781]) ).
cnf(s238,plain,
~ spl741_5,
inference(sat_conversion,[],[f66254]) ).
cnf(s241,plain,
$false,
inference(rat,[],[s133,s238]) ).
tff(f66255,plain,
$false,
inference(avatar_sat_refutation,[],[s241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP271_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 12:43:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.72/3.42 % (3946128)Detected formulas, will run a generic FOF schedule.
% 12.72/3.42 % (3946181)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=324161368:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 12.72/3.42 % (3946181)Instruction limit reached!
% 12.72/3.42 % (3946181)------------------------------
% 12.72/3.42 % (3946181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.42 % (3946181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.42 % (3946181)CaDiCaL version: 2.1.3
% 12.72/3.42 % (3946181)Termination reason: Instruction limit
% 12.72/3.42 % (3946181)Termination phase: Property scanning
% 12.72/3.42 % (3946181)Time elapsed: 0.030 s
% 12.72/3.42 % (3946181)Peak memory usage: 96 MB
% 12.72/3.42 % (3946181)Instructions burned: 142 (million)
% 12.72/3.42 % (3946179)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2780286834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 12.72/3.42 % (3946176)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=614747548:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 12.72/3.42 % (3946177)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4008479686:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 12.72/3.42 % (3946178)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=194695535:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 12.72/3.42 % (3946180)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2153539480:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 12.72/3.42 % (3946182)dis-21_1_sil=8000:lcm=predicate:random_seed=3908372233:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 12.72/3.42 % (3946179)Instruction limit reached!
% 12.72/3.42 % (3946179)------------------------------
% 12.72/3.42 % (3946179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.42 % (3946179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.42 % (3946179)CaDiCaL version: 2.1.3
% 12.72/3.42 % (3946179)Termination reason: Instruction limit
% 12.72/3.42 % (3946179)Termination phase: Blocked clause elimination
% 12.72/3.42 % (3946179)Time elapsed: 0.068 s
% 12.72/3.42 % (3946179)Peak memory usage: 98 MB
% 12.72/3.42 % (3946179)Instructions burned: 109 (million)
% 12.72/3.42 % (3946180)Instruction limit reached!
% 12.72/3.42 % (3946180)------------------------------
% 12.72/3.42 % (3946180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.42 % (3946180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.42 % (3946180)CaDiCaL version: 2.1.3
% 12.72/3.42 % (3946180)Termination reason: Instruction limit
% 12.72/3.42 % (3946180)Termination phase: Preprocessing 2
% 12.72/3.42 % (3946180)Time elapsed: 0.084 s
% 12.72/3.42 % (3946180)Peak memory usage: 97 MB
% 12.72/3.42 % (3946180)Instructions burned: 120 (million)
% 12.72/3.42 % (3946182)Instruction limit reached!
% 12.72/3.42 % (3946182)------------------------------
% 12.72/3.42 % (3946182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.42 % (3946182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.42 % (3946182)CaDiCaL version: 2.1.3
% 12.72/3.42 % (3946182)Termination reason: Instruction limit
% 12.72/3.42 % (3946182)Termination phase: Preprocessing 1
% 12.72/3.42 % (3946182)Time elapsed: 0.085 s
% 12.72/3.42 % (3946182)Peak memory usage: 97 MB
% 12.72/3.42 % (3946182)Instructions burned: 129 (million)
% 12.72/3.42 % (3946184)lrs+10_1_sil=8000:sp=occurrence:random_seed=1475898945:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 12.72/3.42 % (3946184)Instruction limit reached!
% 12.72/3.42 % (3946184)------------------------------
% 12.72/3.42 % (3946184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.42 % (3946184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.42 % (3946184)CaDiCaL version: 2.1.3
% 12.72/3.42 % (3946184)Termination reason: Instruction limit
% 12.72/3.42 % (3946184)Termination phase: Function definition elimination
% 12.72/3.42 % (3946184)Time elapsed: 0.090 s
% 12.72/3.42 % (3946184)Peak memory usage: 100 MB
% 18.90/4.39 % (3946184)Instructions burned: 289 (million)
% 18.90/4.39 % (3946191)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4136323396:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 18.90/4.39 % (3946193)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=887231302:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 18.90/4.39 % (3946192)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2750852687:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 18.90/4.39 % (3946191)Instruction limit reached!
% 18.90/4.39 % (3946191)------------------------------
% 18.90/4.39 % (3946191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946191)CaDiCaL version: 2.1.3
% 18.90/4.39 % (3946191)Termination reason: Instruction limit
% 18.90/4.39 % (3946191)Termination phase: Property scanning
% 18.90/4.39 % (3946191)Time elapsed: 0.061 s
% 18.90/4.39 % (3946191)Peak memory usage: 96 MB
% 18.90/4.39 % (3946191)Instructions burned: 158 (million)
% 18.90/4.39 % (3946195)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3656628435:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 18.90/4.39 % (3946193)Instruction limit reached!
% 18.90/4.39 % (3946193)------------------------------
% 18.90/4.39 % (3946193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946193)CaDiCaL version: 2.1.3
% 18.90/4.39 % (3946193)Termination reason: Instruction limit
% 18.90/4.39 % (3946193)Termination phase: Property scanning
% 18.90/4.39 % (3946193)Time elapsed: 0.096 s
% 18.90/4.39 % (3946193)Peak memory usage: 96 MB
% 18.90/4.39 % (3946193)Instructions burned: 248 (million)
% 18.90/4.39 % (3946195)Instruction limit reached!
% 18.90/4.39 % (3946195)------------------------------
% 18.90/4.39 % (3946195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946195)CaDiCaL version: 2.1.3
% 18.90/4.39 % (3946195)Termination reason: Instruction limit
% 18.90/4.39 % (3946195)Termination phase: Property scanning
% 18.90/4.39 % (3946195)Time elapsed: 0.107 s
% 18.90/4.39 % (3946195)Peak memory usage: 103 MB
% 18.90/4.39 % (3946195)Instructions burned: 295 (million)
% 18.90/4.39 % (3946192)Instruction limit reached!
% 18.90/4.39 % (3946192)------------------------------
% 18.90/4.39 % (3946192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946192)CaDiCaL version: 2.1.3
% 18.90/4.39 % (3946192)Termination reason: Instruction limit
% 18.90/4.39 % (3946192)Termination phase: Saturation
% 18.90/4.39 % (3946192)Time elapsed: 0.190 s
% 18.90/4.39 % (3946192)Peak memory usage: 102 MB
% 18.90/4.39 % (3946192)Instructions burned: 326 (million)
% 18.90/4.39 % (3946199)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2992255589:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 18.90/4.39 % (3946201)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4119703205:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 18.90/4.39 % (3946202)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4134021291:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 18.90/4.39 % (3946201)Instruction limit reached!
% 18.90/4.39 % (3946201)------------------------------
% 18.90/4.39 % (3946201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946201)CaDiCaL version: 2.1.3
% 18.90/4.39 % (3946201)Termination reason: Instruction limit
% 18.90/4.39 % (3946201)Termination phase: Preprocessing 1
% 18.90/4.39 % (3946201)Time elapsed: 0.078 s
% 18.90/4.39 % (3946201)Peak memory usage: 97 MB
% 18.90/4.39 % (3946201)Instructions burned: 114 (million)
% 18.90/4.39 % (3946202)Instruction limit reached!
% 18.90/4.39 % (3946202)------------------------------
% 18.90/4.39 % (3946202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.90/4.39 % (3946202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.90/4.39 % (3946202)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946202)Termination reason: Instruction limit
% 36.20/6.72 % (3946202)Termination phase: Naming
% 36.20/6.72 % (3946202)Time elapsed: 0.054 s
% 36.20/6.72 % (3946202)Peak memory usage: 101 MB
% 36.20/6.72 % (3946202)Instructions burned: 127 (million)
% 36.20/6.72 % (3946203)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4150118444:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 36.20/6.72 % (3946203)Instruction limit reached!
% 36.20/6.72 % (3946203)------------------------------
% 36.20/6.72 % (3946203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/6.72 % (3946203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/6.72 % (3946203)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946203)Termination reason: Instruction limit
% 36.20/6.72 % (3946203)Termination phase: Property scanning
% 36.20/6.72 % (3946203)Time elapsed: 0.045 s
% 36.20/6.72 % (3946203)Peak memory usage: 96 MB
% 36.20/6.72 % (3946203)Instructions burned: 115 (million)
% 36.20/6.72 % (3946208)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1169322901:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 36.20/6.72 % (3946207)lrs+10_1_sil=8000:sp=occurrence:random_seed=3609394557:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 36.20/6.72 % (3946210)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1179468850:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 36.20/6.72 % (3946208)Instruction limit reached!
% 36.20/6.72 % (3946208)------------------------------
% 36.20/6.72 % (3946208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/6.72 % (3946208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/6.72 % (3946208)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946208)Termination reason: Instruction limit
% 36.20/6.72 % (3946208)Termination phase: Clausification
% 36.20/6.72 % (3946208)Time elapsed: 0.154 s
% 36.20/6.72 % (3946208)Peak memory usage: 111 MB
% 36.20/6.72 % (3946208)Instructions burned: 437 (million)
% 36.20/6.72 % (3946214)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=253562876:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 36.20/6.72 % (3946214)Instruction limit reached!
% 36.20/6.72 % (3946214)------------------------------
% 36.20/6.72 % (3946214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/6.72 % (3946214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/6.72 % (3946214)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946214)Termination reason: Instruction limit
% 36.20/6.72 % (3946214)Termination phase: Preprocessing 1
% 36.20/6.72 % (3946214)Time elapsed: 0.053 s
% 36.20/6.72 % (3946214)Peak memory usage: 97 MB
% 36.20/6.72 % (3946214)Instructions burned: 136 (million)
% 36.20/6.72 % (3946207)Instruction limit reached!
% 36.20/6.72 % (3946207)------------------------------
% 36.20/6.72 % (3946207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/6.72 % (3946207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/6.72 % (3946207)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946207)Termination reason: Instruction limit
% 36.20/6.72 % (3946207)Termination phase: Saturation
% 36.20/6.72 % (3946207)Time elapsed: 0.434 s
% 36.20/6.72 % (3946207)Peak memory usage: 107 MB
% 36.20/6.72 % (3946207)Instructions burned: 907 (million)
% 36.20/6.72 % (3946216)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=799972176:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 36.20/6.72 % (3946217)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4036140451:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 36.20/6.72 % (3946216)Instruction limit reached!
% 36.20/6.72 % (3946216)------------------------------
% 36.20/6.72 % (3946216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.20/6.72 % (3946216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.20/6.72 % (3946216)CaDiCaL version: 2.1.3
% 36.20/6.72 % (3946216)Termination reason: Instruction limit
% 36.20/6.72 % (3946216)Termination phase: Property scanning
% 36.20/6.72 % (3946216)Time elapsed: 0.196 s
% 36.20/6.72 % (3946216)Peak memory usage: 108 MB
% 36.20/6.72 % (3946216)Instructions burned: 593 (million)
% 36.20/6.72 % (3946220)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3434606941:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 67.02/11.11 % (3946220)Instruction limit reached!
% 67.02/11.11 % (3946220)------------------------------
% 67.02/11.11 % (3946220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/11.11 % (3946220)CaDiCaL version: 2.1.3
% 67.02/11.11 % (3946220)Termination reason: Instruction limit
% 67.02/11.11 % (3946220)Termination phase: Property scanning
% 67.02/11.11 % (3946220)Time elapsed: 0.027 s
% 67.02/11.11 % (3946220)Peak memory usage: 96 MB
% 67.02/11.11 % (3946220)Instructions burned: 129 (million)
% 67.02/11.11 % (3946222)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3652534990:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 67.02/11.11 % (3946222)Instruction limit reached!
% 67.02/11.11 % (3946222)------------------------------
% 67.02/11.11 % (3946222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/11.11 % (3946222)CaDiCaL version: 2.1.3
% 67.02/11.11 % (3946222)Termination reason: Instruction limit
% 67.02/11.11 % (3946222)Termination phase: Property scanning
% 67.02/11.11 % (3946222)Time elapsed: 0.028 s
% 67.02/11.11 % (3946222)Peak memory usage: 96 MB
% 67.02/11.11 % (3946222)Instructions burned: 134 (million)
% 67.02/11.11 % (3946199)Instruction limit reached!
% 67.02/11.11 % (3946199)------------------------------
% 67.02/11.11 % (3946199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/11.11 % (3946199)CaDiCaL version: 2.1.3
% 67.02/11.11 % (3946199)Termination reason: Instruction limit
% 67.02/11.11 % (3946199)Termination phase: Saturation
% 67.02/11.11 % (3946199)Time elapsed: 1.325 s
% 67.02/11.11 % (3946199)Peak memory usage: 183 MB
% 67.02/11.11 % (3946199)Instructions burned: 2351 (million)
% 67.02/11.11 % (3946224)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3974464115:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 67.02/11.11 % (3946224)Refutation not found, incomplete strategy
% 67.02/11.11 % (3946224)------------------------------
% 67.02/11.11 % (3946224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/11.11 % (3946224)CaDiCaL version: 2.1.3
% 67.02/11.11 % (3946224)Termination reason: Refutation not found, incomplete strategy
% 67.02/11.11 % (3946224)Time elapsed: 0.114 s
% 67.02/11.11 % (3946224)Peak memory usage: 101 MB
% 67.02/11.11 % (3946224)Instructions burned: 116 (million)
% 67.02/11.11 % (3946225)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4130933573:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 67.02/11.11 % (3946225)Instruction limit reached!
% 67.02/11.11 % (3946225)------------------------------
% 67.02/11.11 % (3946225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.02/11.11 % (3946225)CaDiCaL version: 2.1.3
% 67.02/11.11 % (3946225)Termination reason: Instruction limit
% 67.02/11.11 % (3946225)Termination phase: Saturation
% 67.02/11.11 % (3946225)Time elapsed: 0.223 s
% 67.02/11.11 % (3946225)Peak memory usage: 102 MB
% 67.02/11.11 % (3946225)Instructions burned: 433 (million)
% 67.02/11.11 % (3946224)------------------------------
% 67.02/11.11 % (3946224)------------------------------
% 67.02/11.11 % (3946228)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1417369551:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 67.02/11.11 % (3946229)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1710249688:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 67.02/11.11 % (3946229)Instruction limit reached!
% 67.02/11.11 % (3946229)------------------------------
% 67.02/11.11 % (3946229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.02/11.11 % (3946229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946229)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946229)Termination reason: Instruction limit
% 50.48/15.88 % (3946229)Termination phase: Preprocessing 1
% 50.48/15.88 % (3946229)Time elapsed: 0.102 s
% 50.48/15.88 % (3946229)Peak memory usage: 97 MB
% 50.48/15.88 % (3946229)Instructions burned: 150 (million)
% 50.48/15.88 % (3946232)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1420731245:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 50.48/15.88 % (3946210)Instruction limit reached!
% 50.48/15.88 % (3946210)------------------------------
% 50.48/15.88 % (3946210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946210)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946210)Termination reason: Instruction limit
% 50.48/15.88 % (3946210)Termination phase: Saturation
% 50.48/15.88 % (3946210)Time elapsed: 2.205 s
% 50.48/15.88 % (3946210)Peak memory usage: 200 MB
% 50.48/15.88 % (3946210)Instructions burned: 5205 (million)
% 50.48/15.88 % (3946234)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1795941501:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 50.48/15.88 % (3946234)Instruction limit reached!
% 50.48/15.88 % (3946234)------------------------------
% 50.48/15.88 % (3946234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946234)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946234)Termination reason: Instruction limit
% 50.48/15.88 % (3946234)Termination phase: Property scanning
% 50.48/15.88 % (3946234)Time elapsed: 0.228 s
% 50.48/15.88 % (3946234)Peak memory usage: 112 MB
% 50.48/15.88 % (3946234)Instructions burned: 673 (million)
% 50.48/15.88 % (3946236)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1417978207:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 50.48/15.88 % (3946236)Instruction limit reached!
% 50.48/15.88 % (3946236)------------------------------
% 50.48/15.88 % (3946236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946236)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946236)Termination reason: Instruction limit
% 50.48/15.88 % (3946236)Termination phase: Preprocessing 1
% 50.48/15.88 % (3946236)Time elapsed: 0.072 s
% 50.48/15.88 % (3946236)Peak memory usage: 97 MB
% 50.48/15.88 % (3946236)Instructions burned: 185 (million)
% 50.48/15.88 % (3946238)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2022695409:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2953 on theBenchmark for (2953ds/193Mi)
% 50.48/15.88 % (3946238)Instruction limit reached!
% 50.48/15.88 % (3946238)------------------------------
% 50.48/15.88 % (3946238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946238)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946238)Termination reason: Instruction limit
% 50.48/15.88 % (3946238)Termination phase: Preprocessing 1
% 50.48/15.88 % (3946238)Time elapsed: 0.079 s
% 50.48/15.88 % (3946238)Peak memory usage: 97 MB
% 50.48/15.88 % (3946238)Instructions burned: 193 (million)
% 50.48/15.88 % (3946240)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=733578676:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2951 on theBenchmark for (2951ds/4850Mi)
% 50.48/15.88 % (3946240)Refutation not found, incomplete strategy
% 50.48/15.88 % (3946240)------------------------------
% 50.48/15.88 % (3946240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946240)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946240)Termination reason: Refutation not found, incomplete strategy
% 50.48/15.88 % (3946240)Time elapsed: 0.554 s
% 50.48/15.88 % (3946240)Peak memory usage: 131 MB
% 50.48/15.88 % (3946240)Instructions burned: 1977 (million)
% 50.48/15.88 % (3946240)------------------------------
% 50.48/15.88 % (3946240)------------------------------
% 50.48/15.88 % (3946242)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3238283005:i=12111:sd=1:ss=included_2942 on theBenchmark for (2942ds/12111Mi)
% 50.48/15.88 % (3946228)Instruction limit reached!
% 50.48/15.88 % (3946228)------------------------------
% 50.48/15.88 % (3946228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946228)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946228)Termination reason: Instruction limit
% 50.48/15.88 % (3946228)Termination phase: Saturation
% 50.48/15.88 % (3946228)Time elapsed: 4.019 s
% 50.48/15.88 % (3946228)Peak memory usage: 414 MB
% 50.48/15.88 % (3946228)Instructions burned: 6061 (million)
% 50.48/15.88 % (3946244)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3520036645:i=319:kws=precedence:fsr=off_2925 on theBenchmark for (2925ds/319Mi)
% 50.48/15.88 % (3946244)Instruction limit reached!
% 50.48/15.88 % (3946244)------------------------------
% 50.48/15.88 % (3946244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946244)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946244)Termination reason: Instruction limit
% 50.48/15.88 % (3946244)Termination phase: Preprocessing 3
% 50.48/15.88 % (3946244)Time elapsed: 0.193 s
% 50.48/15.88 % (3946244)Peak memory usage: 108 MB
% 50.48/15.88 % (3946244)Instructions burned: 320 (million)
% 50.48/15.88 % (3946246)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=645788149:i=2064:ep=RST_2921 on theBenchmark for (2921ds/2064Mi)
% 50.48/15.88 % (3946246)Instruction limit reached!
% 50.48/15.88 % (3946246)------------------------------
% 50.48/15.88 % (3946246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946246)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946246)Termination reason: Instruction limit
% 50.48/15.88 % (3946246)Termination phase: Saturation
% 50.48/15.88 % (3946246)Time elapsed: 0.890 s
% 50.48/15.88 % (3946246)Peak memory usage: 123 MB
% 50.48/15.88 % (3946246)Instructions burned: 2064 (million)
% 50.48/15.88 % (3946248)dis-1011_128_sil=32000:random_seed=3141013845:i=3706:ep=RST:av=off_2911 on theBenchmark for (2911ds/3706Mi)
% 50.48/15.88 % (3946242)Instruction limit reached!
% 50.48/15.88 % (3946242)------------------------------
% 50.48/15.88 % (3946242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946242)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946242)Termination reason: Instruction limit
% 50.48/15.88 % (3946242)Termination phase: Saturation
% 50.48/15.88 % (3946242)Time elapsed: 3.847 s
% 50.48/15.88 % (3946242)Peak memory usage: 391 MB
% 50.48/15.88 % (3946242)Instructions burned: 12111 (million)
% 50.48/15.88 % (3946250)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2961556181:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2902 on theBenchmark for (2902ds/757Mi)
% 50.48/15.88 % (3946217)Instruction limit reached!
% 50.48/15.88 % (3946217)------------------------------
% 50.48/15.88 % (3946217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946217)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946217)Termination reason: Instruction limit
% 50.48/15.88 % (3946217)Termination phase: Saturation
% 50.48/15.88 % (3946217)Time elapsed: 7.650 s
% 50.48/15.88 % (3946217)Peak memory usage: 269 MB
% 50.48/15.88 % (3946217)Instructions burned: 13193 (million)
% 50.48/15.88 % (3946250)Instruction limit reached!
% 50.48/15.88 % (3946250)------------------------------
% 50.48/15.88 % (3946250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946250)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946250)Termination reason: Instruction limit
% 50.48/15.88 % (3946250)Termination phase: Saturation
% 50.48/15.88 % (3946250)Time elapsed: 0.191 s
% 50.48/15.88 % (3946250)Peak memory usage: 108 MB
% 50.48/15.88 % (3946250)Instructions burned: 759 (million)
% 50.48/15.88 % (3946253)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2383310716:i=9925:aac=none_2899 on theBenchmark for (2899ds/9925Mi)
% 50.48/15.88 % (3946252)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=431887641:i=13913:ss=axioms:sgt=8_2899 on theBenchmark for (2899ds/13913Mi)
% 50.48/15.88 % (3946248)Instruction limit reached!
% 50.48/15.88 % (3946248)------------------------------
% 50.48/15.88 % (3946248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946248)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946248)Termination reason: Instruction limit
% 50.48/15.88 % (3946248)Termination phase: Saturation
% 50.48/15.88 % (3946248)Time elapsed: 1.804 s
% 50.48/15.88 % (3946248)Peak memory usage: 137 MB
% 50.48/15.88 % (3946248)Instructions burned: 3708 (million)
% 50.48/15.88 % (3946256)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3935947072:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2891 on theBenchmark for (2891ds/2479Mi)
% 50.48/15.88 % (3946256)Instruction limit reached!
% 50.48/15.88 % (3946256)------------------------------
% 50.48/15.88 % (3946256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946256)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946256)Termination reason: Instruction limit
% 50.48/15.88 % (3946256)Termination phase: Saturation
% 50.48/15.88 % (3946256)Time elapsed: 1.096 s
% 50.48/15.88 % (3946256)Peak memory usage: 112 MB
% 50.48/15.88 % (3946256)Instructions burned: 2483 (million)
% 50.48/15.88 % (3946232)Instruction limit reached!
% 50.48/15.88 % (3946232)------------------------------
% 50.48/15.88 % (3946232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946232)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946232)Termination reason: Instruction limit
% 50.48/15.88 % (3946232)Termination phase: Saturation
% 50.48/15.88 % (3946232)Time elapsed: 8.527 s
% 50.48/15.88 % (3946232)Peak memory usage: 427 MB
% 50.48/15.88 % (3946232)Instructions burned: 14157 (million)
% 50.48/15.88 % (3946258)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3554429628:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2878 on theBenchmark for (2878ds/440Mi)
% 50.48/15.88 % (3946259)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1155873285:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2877 on theBenchmark for (2877ds/11145Mi)
% 50.48/15.88 % (3946258)Instruction limit reached!
% 50.48/15.88 % (3946258)------------------------------
% 50.48/15.88 % (3946258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946258)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946258)Termination reason: Instruction limit
% 50.48/15.88 % (3946258)Termination phase: Property scanning
% 50.48/15.88 % (3946258)Time elapsed: 0.173 s
% 50.48/15.88 % (3946258)Peak memory usage: 96 MB
% 50.48/15.88 % (3946258)Instructions burned: 441 (million)
% 50.48/15.88 % (3946262)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1724562243:cts=off:i=3034:av=off:er=known:fsd=on_2875 on theBenchmark for (2875ds/3034Mi)
% 50.48/15.88 % (3946262)Instruction limit reached!
% 50.48/15.88 % (3946262)------------------------------
% 50.48/15.88 % (3946262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/15.88 % (3946262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/15.88 % (3946262)CaDiCaL version: 2.1.3
% 50.48/15.88 % (3946262)Termination reason: Instruction limit
% 50.48/15.88 % (3946262)Termination phase: Saturation
% 50.48/15.88 % (3946262)Time elapsed: 2.076 s
% 50.48/15.88 % (3946262)Peak memory usage: 320 MB
% 50.48/15.88 % (3946262)Instructions burned: 3036 (million)
% 50.48/15.88 % (3946252)First to succeed.
% 50.48/15.88 % (3946252)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3946128"
% 50.48/15.88 % (3946491)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1669092065:st=2:s2a=on:i=524:s2at=2:ss=axioms_2852 on theBenchmark for (2852ds/524Mi)
% 50.48/15.88 % (3946252)Refutation found. Thanks to Tanya!
% 50.48/15.88 % SZS status Theorem for theBenchmark
% 50.48/15.88 % SZS output start Proof for theBenchmark
% See solution above
% 101.26/16.10 % (3946252)------------------------------
% 101.26/16.10 % (3946252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.26/16.10 % (3946252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.26/16.10 % (3946252)CaDiCaL version: 2.1.3
% 101.26/16.10 % (3946252)Termination reason: Refutation
% 101.26/16.10 % (3946252)Time elapsed: 4.518 s
% 101.26/16.10 % (3946252)Peak memory usage: 242 MB
% 101.26/16.10 % (3946252)Instructions burned: 12593 (million)
% 101.26/16.10 % (3946252)------------------------------
% 101.26/16.10 % (3946252)------------------------------
% 101.26/16.10 % (3946128)Success in time 15.024 s
% 101.26/16.10 % Vampire exiting
%------------------------------------------------------------------------------