Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP239_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:31:18 AM UTC 2026

% Result   : Theorem 19.19s 4.27s
% Output   : Refutation 20.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :  448 ( 447 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  145 ( 144 usr;   1 prp; 0-4 aty)
%            Number of functors    : 1822 (1822 usr; 562 con; 0-8 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_Pr4779616527126863150_nat_o: $tType ).

tff(type_def_6,type,
    fun_Pr4822914654802553862_num_o: $tType ).

tff(type_def_7,type,
    fun_Pr1283576600272279410_nat_o: $tType ).

tff(type_def_8,type,
    fun_Pr7588637180273442094_num_o: $tType ).

tff(type_def_9,type,
    fun_Pr8463018485500633518_nat_o: $tType ).

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

tff(type_def_11,type,
    produc3739950874144486240at_nat: $tType ).

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

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

tff(type_def_14,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_15,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_16,type,
    produc7004362771917097900on_nat: $tType ).

tff(type_def_17,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_18,type,
    produc8114805097830739791at_num: $tType ).

tff(type_def_19,type,
    produc9217583074051984497at_nat: $tType ).

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

tff(type_def_21,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_22,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_23,type,
    produc50614890452615238on_num: $tType ).

tff(type_def_24,type,
    produc1615844007061411358on_nat: $tType ).

tff(type_def_25,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_26,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_27,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_28,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_29,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_30,type,
    fun_fu8084223252616112272omplex: $tType ).

tff(type_def_31,type,
    fun_fu2142003765521078979plex_o: $tType ).

tff(type_def_32,type,
    fun_fu8168279061277983450plex_o: $tType ).

tff(type_def_33,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_34,type,
    fun_fu8433555683852769370plex_o: $tType ).

tff(type_def_35,type,
    fun_fu7523448966510524487plex_o: $tType ).

tff(type_def_36,type,
    fun_fu8020951434679919326real_o: $tType ).

tff(type_def_37,type,
    fun_fu8998703528969179354omplex: $tType ).

tff(type_def_38,type,
    fun_fu8148986511470497476_num_o: $tType ).

tff(type_def_39,type,
    fun_fu2571895429041709858_nat_o: $tType ).

tff(type_def_40,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_41,type,
    fun_fu9068519094125542729real_o: $tType ).

tff(type_def_42,type,
    fun_fu3654966910337544342_nat_o: $tType ).

tff(type_def_43,type,
    fun_fu3749727409370067934_int_o: $tType ).

tff(type_def_44,type,
    fun_fu7307196158820694110real_o: $tType ).

tff(type_def_45,type,
    fun_fu3317822389839199582real_o: $tType ).

tff(type_def_46,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_47,type,
    fun_fu2993764712125629974_nat_o: $tType ).

tff(type_def_48,type,
    fun_fu3088525211158153566_int_o: $tType ).

tff(type_def_49,type,
    fun_fu6531550788665658134_nat_o: $tType ).

tff(type_def_50,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_51,type,
    fun_fu6433034133342731997_nat_o: $tType ).

tff(type_def_52,type,
    fun_fu3930813892005118153_int_o: $tType ).

tff(type_def_53,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_54,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_55,type,
    fun_op7326680082016885773_nat_o: $tType ).

tff(type_def_56,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_57,type,
    fun_op3832135881594366065_nat_o: $tType ).

tff(type_def_58,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_59,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_60,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_61,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_62,type,
    fun_fu5533088652784741581real_o: $tType ).

tff(type_def_63,type,
    fun_fu6579618355643354601at_rat: $tType ).

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

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

tff(type_def_66,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_67,type,
    fun_fu5587483295140630005real_o: $tType ).

tff(type_def_68,type,
    fun_fu3306995184869731826t_real: $tType ).

tff(type_def_69,type,
    fun_se2100927751953696370t_real: $tType ).

tff(type_def_70,type,
    fun_fu6813129056075673441_nat_o: $tType ).

tff(type_def_71,type,
    fun_fu4228744305898656589_int_o: $tType ).

tff(type_def_72,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_73,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_74,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_75,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_76,type,
    fun_fu2454420574033104442at_nat: $tType ).

tff(type_def_77,type,
    fun_fu3739269683040691718nt_int: $tType ).

tff(type_def_78,type,
    fun_fu1806770557662746761_nat_o: $tType ).

tff(type_def_79,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_80,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_81,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_82,type,
    fun_fu3477889739401271834t_real: $tType ).

tff(type_def_83,type,
    fun_fu6215981411654662428plex_o: $tType ).

tff(type_def_84,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_85,type,
    fun_fu9045617033751531768plex_o: $tType ).

tff(type_def_86,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_87,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_88,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_89,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_90,type,
    fun_fu4806068833880117316t_real: $tType ).

tff(type_def_91,type,
    fun_fu2115079063411676732t_real: $tType ).

tff(type_def_92,type,
    fun_fu4540635375566031512t_real: $tType ).

tff(type_def_93,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_94,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_95,type,
    fun_fu923337204662071120nt_int: $tType ).

tff(type_def_96,type,
    fun_fu8967550341600084630plex_o: $tType ).

tff(type_def_97,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_98,type,
    fun_fu8737060993192706592real_o: $tType ).

tff(type_def_99,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_100,type,
    fun_fu2079201134200759482plex_o: $tType ).

tff(type_def_101,type,
    fun_fu2658902142918880764real_o: $tType ).

tff(type_def_102,type,
    fun_fu1067021015399606944real_o: $tType ).

tff(type_def_103,type,
    fun_fu8384527901749275179omplex: $tType ).

tff(type_def_104,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_105,type,
    fun_fu1396458009202489560_nat_o: $tType ).

tff(type_def_106,type,
    fun_fu1028241674549403680_int_o: $tType ).

tff(type_def_107,type,
    fun_se1865396762483378772_nat_o: $tType ).

tff(type_def_108,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_109,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_110,type,
    fun_fu1994797156054922755_nat_o: $tType ).

tff(type_def_111,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_112,type,
    fun_fu3065505572990288052_nat_o: $tType ).

tff(type_def_113,type,
    fun_fu2697289238337202172_int_o: $tType ).

tff(type_def_114,type,
    fun_fu2874799657758024024_nat_o: $tType ).

tff(type_def_115,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_116,type,
    fun_fu3613808716698379563omplex: $tType ).

tff(type_def_117,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_118,type,
    fun_se7512233253626865466omplex: $tType ).

tff(type_def_119,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_120,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_121,type,
    fun_fu2445682883699234307plex_o: $tType ).

tff(type_def_122,type,
    fun_fu3719809307426920623omplex: $tType ).

tff(type_def_123,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_124,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_125,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_126,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_127,type,
    produc2963631642982155120at_num: $tType ).

tff(type_def_128,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_129,type,
    fun_fu6074783352538106518real_o: $tType ).

tff(type_def_130,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_131,type,
    fun_op167334234089630144_nat_o: $tType ).

tff(type_def_132,type,
    fun_op6120599277751319488_num_o: $tType ).

tff(type_def_133,type,
    fun_op5794009454290973322_nat_o: $tType ).

tff(type_def_134,type,
    fun_fu4383628726152020410real_o: $tType ).

tff(type_def_135,type,
    fun_fu8335073354567729686real_o: $tType ).

tff(type_def_136,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_137,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_138,type,
    fun_fu4846543092220166533plex_o: $tType ).

tff(type_def_139,type,
    fun_fu806425790188207109plex_o: $tType ).

tff(type_def_140,type,
    fun_fu3043978019632300333x_real: $tType ).

tff(type_def_141,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_142,type,
    fun_fu4600449761433299222_nat_o: $tType ).

tff(type_def_143,type,
    fun_fu4781654129426620053omplex: $tType ).

tff(type_def_144,type,
    fun_fu1494024730412365846_int_o: $tType ).

tff(type_def_145,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_146,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_147,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_148,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_149,type,
    fun_fu80362980471826017plex_o: $tType ).

tff(type_def_150,type,
    fun_Co5015990272074005067omplex: $tType ).

tff(type_def_151,type,
    fun_fu1148935994063782970_nat_o: $tType ).

tff(type_def_152,type,
    fun_fu6560018175767245462_nat_o: $tType ).

tff(type_def_153,type,
    fun_fu1329347338547691834_int_o: $tType ).

tff(type_def_154,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_155,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_156,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_157,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_158,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_159,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_160,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_161,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_162,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_163,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_164,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_165,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_166,type,
    fun_fu7444430165986413063real_o: $tType ).

tff(type_def_167,type,
    fun_fu3532930458344041007omplex: $tType ).

tff(type_def_168,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_169,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_170,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_171,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_172,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_173,type,
    fun_na5873943405026509934VEBT_o: $tType ).

tff(type_def_174,type,
    fun_fu6891447142836604759at_o_o: $tType ).

tff(type_def_175,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_176,type,
    fun_Co5368275265270938953t_real: $tType ).

tff(type_def_177,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_178,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_179,type,
    fun_fu4512855384587262995at_int: $tType ).

tff(type_def_180,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_181,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_182,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_183,type,
    fun_fu6415725884910174923nt_int: $tType ).

tff(type_def_184,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_185,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_186,type,
    fun_nu9041852840018610706omplex: $tType ).

tff(type_def_187,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_188,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_189,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_190,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_191,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_192,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_193,type,
    fun_fu6176141739774794687_nat_o: $tType ).

tff(type_def_194,type,
    fun_fu4302481349826706223omplex: $tType ).

tff(type_def_195,type,
    fun_fu7994259084669964039_int_o: $tType ).

tff(type_def_196,type,
    fun_fu3558165918884697647omplex: $tType ).

tff(type_def_197,type,
    fun_se9162176452187397432plex_o: $tType ).

tff(type_def_198,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_199,type,
    fun_Co7401227239307276909et_nat: $tType ).

tff(type_def_200,type,
    fun_Co2587678820519358153et_int: $tType ).

tff(type_def_201,type,
    fun_fu1358370060594899587plex_o: $tType ).

tff(type_def_202,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_203,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_204,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_205,type,
    fun_fu4478067837645853357l_real: $tType ).

tff(type_def_206,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_207,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_208,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_209,type,
    list_P8526636022914148096eger_o: $tType ).

tff(type_def_210,type,
    fun_fu6510078244439976541real_o: $tType ).

tff(type_def_211,type,
    fun_fu5551332503302594393al_rat: $tType ).

tff(type_def_212,type,
    fun_fu1031053159183118053real_o: $tType ).

tff(type_def_213,type,
    fun_fu1268630300833693065real_o: $tType ).

tff(type_def_214,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_215,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_216,type,
    fun_Pr982841511892225912nt_int: $tType ).

tff(type_def_217,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_218,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_219,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_220,type,
    fun_se1654316830156123260t_real: $tType ).

tff(type_def_221,type,
    fun_nu4698968662094489488t_real: $tType ).

tff(type_def_222,type,
    fun_na3666575854997362246t_real: $tType ).

tff(type_def_223,type,
    set_Pr448751882837621926eger_o: $tType ).

tff(type_def_224,type,
    fun_fu2498659858537143873_nat_o: $tType ).

tff(type_def_225,type,
    fun_fu2983119460465514377_int_o: $tType ).

tff(type_def_226,type,
    fun_fu6621322437453427393_nat_o: $tType ).

tff(type_def_227,type,
    fun_fu4002475321494201261t_real: $tType ).

tff(type_def_228,type,
    fun_fu4185471554550717449_int_o: $tType ).

tff(type_def_229,type,
    fun_fu7030473000426307245t_real: $tType ).

tff(type_def_230,type,
    fun_Pr3290071492984375169er_o_o: $tType ).

tff(type_def_231,type,
    fun_na2418085665696872764plex_o: $tType ).

tff(type_def_232,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_233,type,
    fun_se1179353343636554400at_nat: $tType ).

tff(type_def_234,type,
    fun_se4827636401813558708nt_int: $tType ).

tff(type_def_235,type,
    fun_nu530747996811530292et_nat: $tType ).

tff(type_def_236,type,
    fun_nu4940571614878387344et_int: $tType ).

tff(type_def_237,type,
    fun_na3896347130304379370et_nat: $tType ).

tff(type_def_238,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_239,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_240,type,
    fun_fu7145897819039579925_nat_o: $tType ).

tff(type_def_241,type,
    fun_fu5477517762487726877_nat_o: $tType ).

tff(type_def_242,type,
    fun_fu5961977364416097381_int_o: $tType ).

tff(type_def_243,type,
    fun_fu3162257917499486297at_rat: $tType ).

tff(type_def_244,type,
    fun_fu4050368934121317825_nat_o: $tType ).

tff(type_def_245,type,
    fun_na8255220838387308393_num_o: $tType ).

tff(type_def_246,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_247,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_248,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_249,type,
    fun_re7812779276277946752omplex: $tType ).

tff(type_def_250,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_251,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_252,type,
    fun_se2161501677553633980real_o: $tType ).

tff(type_def_253,type,
    set_Pr8218934625190621173um_num: $tType ).

tff(type_def_254,type,
    set_Pr6200539531224447659at_num: $tType ).

tff(type_def_255,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_256,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_257,type,
    fun_fu9050450510664235267real_o: $tType ).

tff(type_def_258,type,
    fun_re2084383175013312036omplex: $tType ).

tff(type_def_259,type,
    fun_Pr6331313853612757382_num_o: $tType ).

tff(type_def_260,type,
    fun_Pr5555124106300582480_num_o: $tType ).

tff(type_def_261,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_262,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_263,type,
    fun_na5723442673449079972x_real: $tType ).

tff(type_def_264,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_265,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_266,type,
    fun_na7306406234920378942_int_o: $tType ).

tff(type_def_267,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_268,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_269,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_270,type,
    fun_se382663106265794036_nat_o: $tType ).

tff(type_def_271,type,
    fun_se867122708194164540_int_o: $tType ).

tff(type_def_272,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_273,type,
    fun_fu4001317426178549763_nat_o: $tType ).

tff(type_def_274,type,
    fun_fu3883539188510166275_int_o: $tType ).

tff(type_def_275,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_276,type,
    fun_re7428432522468557474al_nat: $tType ).

tff(type_def_277,type,
    fun_re4938349377536830718al_int: $tType ).

tff(type_def_278,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_279,type,
    fun_re7457141977439324286t_real: $tType ).

tff(type_def_280,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_281,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_282,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_283,type,
    list_P3795440434834930179_o_int: $tType ).

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

tff(type_def_285,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_286,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

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

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

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

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

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

tff(type_def_294,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_295,type,
    produc6271795597528267376eger_o: $tType ).

tff(type_def_296,type,
    fun_re7319081385389557872plex_o: $tType ).

tff(type_def_297,type,
    fun_co4998825143550818160real_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_310,type,
    fun_co8153928105989009288nteger: $tType ).

tff(type_def_311,type,
    fun_na1554462459066888140plex_o: $tType ).

tff(type_def_312,type,
    fun_co5676208753217392844_nat_o: $tType ).

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

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

tff(type_def_315,type,
    fun_Co480733329897759773un_o_o: $tType ).

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

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

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

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

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

tff(type_def_321,type,
    list_P4002435161011370285od_o_o: $tType ).

tff(type_def_322,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_368,type,
    fun_VEBT_VEBT_o: $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_nat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_4,type,
    aTP_Lamm_ad: set_int > fun_int_o ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_complex > fun_se9162176452187397432plex_o ).

tff(func_def_6,type,
    aTP_Lamm_af: set_real > fun_se2161501677553633980real_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: set_list_nat > fun_se1865396762483378772_nat_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_int > fun_se867122708194164540_int_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: set_nat > fun_se382663106265794036_nat_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_re7681423839302404990l_real ).

tff(func_def_11,type,
    aTP_Lamm_ak: rat > fun_rat_rat ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_nat_fun_nat_nat ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_int_fun_int_int ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_complex_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_list_nat_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_int_o ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_real_o ).

tff(func_def_19,type,
    aTP_Lamm_as: set_complex > fun_fu1358370060594899587plex_o ).

tff(func_def_20,type,
    aTP_Lamm_at: set_real > fun_fu9050450510664235267real_o ).

tff(func_def_21,type,
    aTP_Lamm_au: set_list_nat > fun_fu1994797156054922755_nat_o ).

tff(func_def_22,type,
    aTP_Lamm_av: set_nat > fun_fu4001317426178549763_nat_o ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_int > fun_fu3883539188510166275_int_o ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_complex_complex ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_real_real ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_rat_rat ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_nat_nat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_int_int ).

tff(func_def_29,type,
    aTP_Lamm_bc: list_complex > fun_complex_o ).

tff(func_def_30,type,
    aTP_Lamm_bd: list_real > fun_real_o ).

tff(func_def_31,type,
    aTP_Lamm_be: list_list_nat > fun_list_nat_o ).

tff(func_def_32,type,
    aTP_Lamm_bf: list_VEBT_VEBT > fun_VEBT_VEBT_o ).

tff(func_def_33,type,
    aTP_Lamm_bg: list_o > fun_o_o ).

tff(func_def_34,type,
    aTP_Lamm_bh: list_nat > fun_nat_o ).

tff(func_def_35,type,
    aTP_Lamm_bi: list_int > fun_int_o ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_complex_complex ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_real_real ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_rat_rat ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_nat_nat ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_int_int ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_43,type,
    aTP_Lamm_bq: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_44,type,
    aTP_Lamm_br: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_45,type,
    aTP_Lamm_bs: set_o > fun_nat_fun_list_o_o ).

tff(func_def_46,type,
    aTP_Lamm_bt: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_47,type,
    aTP_Lamm_bu: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_48,type,
    aTP_Lamm_bv: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_49,type,
    aTP_Lamm_bw: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_50,type,
    aTP_Lamm_bx: set_o > fun_nat_fun_list_o_o ).

tff(func_def_51,type,
    aTP_Lamm_by: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_52,type,
    aTP_Lamm_bz: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_nat_fun_nat_o ).

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_fun_nat_o ).

tff(func_def_55,type,
    aTP_Lamm_cc: set_nat > fun_set_nat_o ).

tff(func_def_56,type,
    aTP_Lamm_cd: set_complex > fun_set_complex_o ).

tff(func_def_57,type,
    aTP_Lamm_ce: set_int > fun_set_int_o ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_real_o > fun_fu6074783352538106518real_o ).

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

tff(func_def_60,type,
    aTP_Lamm_ch: fun_real_o > fun_fu4600449761433299222_nat_o ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_nat_fun_real_o > fun_real_fun_nat_o ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_real_o > fun_fu1494024730412365846_int_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_int_fun_real_o > fun_real_fun_int_o ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_real_o > fun_fu8967550341600084630plex_o ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_co4998825143550818160real_o > fun_re7319081385389557872plex_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_nat_o > fun_fu4383628726152020410real_o ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_real_fun_nat_o > fun_nat_fun_real_o ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_nat_o > fun_fu1148935994063782970_nat_o ).

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

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_o > fun_fu1329347338547691834_int_o ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_int_fun_nat_o > fun_nat_fun_int_o ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_nat_o > fun_fu2079201134200759482plex_o ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_co5676208753217392844_nat_o > fun_na1554462459066888140plex_o ).

tff(func_def_74,type,
    aTP_Lamm_cv: fun_int_o > fun_fu8335073354567729686real_o ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_real_fun_int_o > fun_int_fun_real_o ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_int_o > fun_fu6560018175767245462_nat_o ).

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_fun_int_o > fun_int_fun_nat_o ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_nat_fun_real_o ).

tff(func_def_79,type,
    aTP_Lamm_da: nat > fun_complex_o ).

tff(func_def_80,type,
    aTP_Lamm_db: int > fun_int_fun_int_o ).

tff(func_def_81,type,
    aTP_Lamm_dc: int > fun_int_fun_int_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: int > fun_int_fun_int_o ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_real_o > fun_fu8020951434679919326real_o ).

tff(func_def_84,type,
    aTP_Lamm_df: fun_real_o > fun_fu3654966910337544342_nat_o ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_real_o > fun_fu3749727409370067934_int_o ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_real_o > fun_fu8168279061277983450plex_o ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_real_o > fun_fu7307196158820694110real_o ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_real_o > fun_fu2993764712125629974_nat_o ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_real_o > fun_fu3088525211158153566_int_o ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_real_o > fun_fu8433555683852769370plex_o ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_real_o > fun_fu3317822389839199582real_o ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_real_o > fun_fu6531550788665658134_nat_o ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_real_o > fun_fu3022329567491847689real_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_real_o > fun_fu2498659858537143873_nat_o ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_real_o > fun_fu2983119460465514377_int_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_real_o > fun_fu4846543092220166533plex_o ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_nat_o > fun_fu1031053159183118053real_o ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_nat_o > fun_fu5477517762487726877_nat_o ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_nat_o > fun_fu5961977364416097381_int_o ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_nat_o > fun_fu80362980471826017plex_o ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_int_o > fun_fu1268630300833693065real_o ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_int_o > fun_fu4050368934121317825_nat_o ).

tff(func_def_103,type,
    aTP_Lamm_dy: nat > fun_co1148497455491383662plex_o ).

tff(func_def_104,type,
    aTP_Lamm_dz: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_105,type,
    aTP_Lamm_ea: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_106,type,
    aTP_Lamm_eb: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_107,type,
    aTP_Lamm_ec: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_108,type,
    aTP_Lamm_ed: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_109,type,
    aTP_Lamm_ee: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_110,type,
    aTP_Lamm_ef: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_111,type,
    aTP_Lamm_eg: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_112,type,
    aTP_Lamm_eh: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_113,type,
    aTP_Lamm_ei: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_114,type,
    aTP_Lamm_ej: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_115,type,
    aTP_Lamm_ek: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_116,type,
    aTP_Lamm_el: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_117,type,
    aTP_Lamm_em: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_118,type,
    aTP_Lamm_en: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_119,type,
    aTP_Lamm_eo: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_120,type,
    aTP_Lamm_ep: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_121,type,
    aTP_Lamm_eq: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_122,type,
    aTP_Lamm_er: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_123,type,
    aTP_Lamm_es: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_124,type,
    aTP_Lamm_et: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_125,type,
    aTP_Lamm_eu: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_126,type,
    aTP_Lamm_ev: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_127,type,
    aTP_Lamm_ew: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_128,type,
    aTP_Lamm_ex: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_129,type,
    aTP_Lamm_ey: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_130,type,
    aTP_Lamm_ez: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_131,type,
    aTP_Lamm_fa: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_132,type,
    aTP_Lamm_fb: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_133,type,
    aTP_Lamm_fc: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_134,type,
    aTP_Lamm_fd: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_135,type,
    aTP_Lamm_fe: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_136,type,
    aTP_Lamm_ff: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_137,type,
    aTP_Lamm_fg: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_138,type,
    aTP_Lamm_fh: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_139,type,
    aTP_Lamm_fi: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_140,type,
    aTP_Lamm_fj: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_141,type,
    aTP_Lamm_fk: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_142,type,
    aTP_Lamm_fl: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_143,type,
    aTP_Lamm_fm: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_co1148497455491383662plex_o ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_real_fun_real_o ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_nat_fun_nat_o ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_Co2081214437782444048eger_o ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_int_fun_int_o ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_nat_fun_nat_o ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_int_int > fun_fu923337204662071120nt_int ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_int_int > fun_fu3739269683040691718nt_int ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_complex_complex > fun_fu8998703528969179354omplex ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_complex_complex > fun_fu8084223252616112272omplex ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_nat > fun_fu2454420574033104442at_nat ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_real > fun_fu3306995184869731826t_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_int_int > fun_int_fun_int_int ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_162,type,
    aTP_Lamm_gf: int > fun_fu1143798476471108391nt_int ).

tff(func_def_163,type,
    aTP_Lamm_gg: complex > fun_fu5956788528830221615omplex ).

tff(func_def_164,type,
    aTP_Lamm_gh: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_165,type,
    aTP_Lamm_gi: real > fun_fu6899955116716589935t_real ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_int_int > fun_int_fun_int_int ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_real_complex > fun_real_o ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_int_complex > fun_int_o ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_real_real > fun_real_o ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_int_real > fun_int_o ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_complex_real > fun_complex_o ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_real_rat > fun_real_o ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_int_rat > fun_int_o ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_complex_rat > fun_complex_o ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_real_nat > fun_real_o ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_int_nat > fun_int_o ).

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

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

tff(func_def_189,type,
    aTP_Lamm_hg: fun_nat_complex > fun_nat_complex ).

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

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

tff(func_def_192,type,
    aTP_Lamm_hj: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_194,type,
    aTP_Lamm_hl: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_195,type,
    aTP_Lamm_hm: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_201,type,
    aTP_Lamm_hs: complex > fun_na1142814060743658952omplex ).

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

tff(func_def_203,type,
    aTP_Lamm_hu: int > fun_nat_fun_nat_int ).

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

tff(func_def_205,type,
    aTP_Lamm_hw: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_nat_real > fun_na7718645245721260691t_real ).

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

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

tff(func_def_209,type,
    aTP_Lamm_ia: fun_nat_nat > fun_nat_nat ).

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

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

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

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

tff(func_def_214,type,
    aTP_Lamm_if: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

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

tff(func_def_219,type,
    aTP_Lamm_ik: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_222,type,
    aTP_Lamm_in: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_223,type,
    aTP_Lamm_io: fun_int_rat > fun_fu1008360527747082367nt_rat ).

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

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

tff(func_def_226,type,
    aTP_Lamm_ir: fun_nat_int > fun_nat_int ).

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

tff(func_def_228,type,
    aTP_Lamm_it: fun_nat_rat > fun_nat_rat ).

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

tff(func_def_230,type,
    aTP_Lamm_iv: fun_nat_real > fun_nat_real ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_nat_rat > fun_nat_rat ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_nat_int > fun_nat_int ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_nat > fun_nat_nat ).

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

tff(func_def_235,type,
    aTP_Lamm_ja: nat > fun_nat_fun_nat_nat ).

tff(func_def_236,type,
    aTP_Lamm_jb: fun_in1696471567231710611nt_int ).

tff(func_def_237,type,
    aTP_Lamm_jc: fun_na4138050610385705875at_nat ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_Co2470855966376689427nteger ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_in1696471567231710611nt_int ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_na4138050610385705875at_nat ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_Co2470855966376689427nteger ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_Pr2477239776880934807at_nat > fun_na1668100129766719005at_nat ).

tff(func_def_243,type,
    aTP_Lamm_ji: fun_Pr2028404973800837934_nat_o > fun_na5914473681949881652_nat_o ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_Pr2478283820680522243nt_int > fun_in1696471567231710611nt_int ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_Pr3238374608701176162_int_o > fun_int_fun_int_o ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_Pr982841511892225912nt_int > fun_int_fun_int_int ).

tff(func_def_247,type,
    aTP_Lamm_jm: num > fun_na4138050610385705875at_nat ).

tff(func_def_248,type,
    aTP_Lamm_jn: num > fun_in1696471567231710611nt_int ).

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

tff(func_def_250,type,
    aTP_Lamm_jp: int > fun_int_fun_nat_int ).

tff(func_def_251,type,
    aTP_Lamm_jq: rat > fun_rat_fun_nat_rat ).

tff(func_def_252,type,
    aTP_Lamm_jr: nat > fun_nat_fun_nat_nat ).

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

tff(func_def_254,type,
    aTP_Lamm_jt: num > fun_Co2470855966376689427nteger ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_re4238438383274954274t_real ).

tff(func_def_256,type,
    aTP_Lamm_jv: fun_int_fun_int_int ).

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

tff(func_def_258,type,
    aTP_Lamm_jx: fun_complex_complex > fun_complex_real ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_nat_real > fun_nat_real ).

tff(func_def_260,type,
    aTP_Lamm_jz: fun_re4238438383274954274t_real ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_na1142814060743658952omplex ).

tff(func_def_262,type,
    aTP_Lamm_kb: fun_nat_fun_nat_int ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_nat_fun_nat_real ).

tff(func_def_264,type,
    aTP_Lamm_kd: fun_nat_fun_nat_nat ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_nat_fun_nat_rat ).

tff(func_def_266,type,
    aTP_Lamm_kf: fun_na4138050610385705875at_nat ).

tff(func_def_267,type,
    aTP_Lamm_kg: fun_re4238438383274954274t_real ).

tff(func_def_268,type,
    aTP_Lamm_kh: complex > fun_co6883864892131739507omplex ).

tff(func_def_269,type,
    aTP_Lamm_ki: complex > fun_co6883864892131739507omplex ).

tff(func_def_270,type,
    aTP_Lamm_kj: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_271,type,
    aTP_Lamm_kk: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_272,type,
    aTP_Lamm_kl: real > fun_re4756235295228751087t_real ).

tff(func_def_273,type,
    aTP_Lamm_km: real > fun_re4756235295228751087t_real ).

tff(func_def_274,type,
    aTP_Lamm_kn: fun_rat_fun_rat_o ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_num_fun_num_o ).

tff(func_def_276,type,
    aTP_Lamm_kp: fun_int_fun_int_o ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_real_fun_real_o ).

tff(func_def_278,type,
    aTP_Lamm_kr: fun_nat_nat > fun_nat_fun_nat_nat ).

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

tff(func_def_280,type,
    aTP_Lamm_kt: fun_nat_int > fun_int_fun_nat_int ).

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

tff(func_def_282,type,
    aTP_Lamm_kv: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_nat_rat > fun_nat_rat ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_nat_int > fun_nat_int ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_nat_real > fun_nat_real ).

tff(func_def_286,type,
    aTP_Lamm_kz: complex > fun_co6883864892131739507omplex ).

tff(func_def_287,type,
    aTP_Lamm_la: complex > fun_co6883864892131739507omplex ).

tff(func_def_288,type,
    aTP_Lamm_lb: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_289,type,
    aTP_Lamm_lc: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_290,type,
    aTP_Lamm_ld: int > fun_in6793278964266839919at_int ).

tff(func_def_291,type,
    aTP_Lamm_le: int > fun_in6793278964266839919at_int ).

tff(func_def_292,type,
    aTP_Lamm_lf: real > fun_re4756235295228751087t_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: real > fun_re4756235295228751087t_real ).

tff(func_def_294,type,
    aTP_Lamm_lh: complex > fun_na6632006986671646835omplex ).

tff(func_def_295,type,
    aTP_Lamm_li: rat > fun_na1148497095348402375at_rat ).

tff(func_def_296,type,
    aTP_Lamm_lj: int > fun_na2382631619178260847at_int ).

tff(func_def_297,type,
    aTP_Lamm_lk: real > fun_na5225841814499866095t_real ).

tff(func_def_298,type,
    aTP_Lamm_ll: complex > fun_na6632006986671646835omplex ).

tff(func_def_299,type,
    aTP_Lamm_lm: rat > fun_na1148497095348402375at_rat ).

tff(func_def_300,type,
    aTP_Lamm_ln: int > fun_na2382631619178260847at_int ).

tff(func_def_301,type,
    aTP_Lamm_lo: real > fun_na5225841814499866095t_real ).

tff(func_def_302,type,
    aTP_Lamm_lp: complex > fun_na1142814060743658952omplex ).

tff(func_def_303,type,
    aTP_Lamm_lq: rat > fun_nat_fun_nat_rat ).

tff(func_def_304,type,
    aTP_Lamm_lr: int > fun_nat_fun_nat_int ).

tff(func_def_305,type,
    aTP_Lamm_ls: real > fun_nat_fun_nat_real ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_nat_real > fun_nat_real ).

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

tff(func_def_309,type,
    aTP_Lamm_lw: fun_nat_real ).

tff(func_def_310,type,
    aTP_Lamm_lx: fun_nat_real ).

tff(func_def_311,type,
    aTP_Lamm_ly: complex > fun_fu40286998686754419omplex ).

tff(func_def_312,type,
    aTP_Lamm_lz: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_313,type,
    aTP_Lamm_ma: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_314,type,
    aTP_Lamm_mb: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_318,type,
    aTP_Lamm_mf: fun_nat_complex > fun_co8378349014452122532t_real ).

tff(func_def_319,type,
    aTP_Lamm_mg: fun_nat_int > fun_nat_int ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_321,type,
    aTP_Lamm_mi: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_322,type,
    aTP_Lamm_mj: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_323,type,
    aTP_Lamm_mk: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_325,type,
    aTP_Lamm_mm: real > fun_fu7631928937237476593t_real ).

tff(func_def_326,type,
    aTP_Lamm_mn: set_Pr448751882837621926eger_o > fun_Co480733329897759773un_o_o ).

tff(func_def_327,type,
    aTP_Lamm_mo: set_Pr8218934625190621173um_num > fun_num_fun_num_o ).

tff(func_def_328,type,
    aTP_Lamm_mp: set_Pr6200539531224447659at_num > fun_nat_fun_num_o ).

tff(func_def_329,type,
    aTP_Lamm_mq: set_Pr1261947904930325089at_nat > fun_nat_fun_nat_o ).

tff(func_def_330,type,
    aTP_Lamm_mr: set_Pr958786334691620121nt_int > fun_int_fun_int_o ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_re4238438383274954274t_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: real > fun_fu3477889739401271834t_real ).

tff(func_def_333,type,
    aTP_Lamm_mu: real > fun_fu5589980185390252312t_real ).

tff(func_def_334,type,
    aTP_Lamm_mv: real > fun_fu4806068833880117316t_real ).

tff(func_def_335,type,
    aTP_Lamm_mw: real > fun_fu2115079063411676732t_real ).

tff(func_def_336,type,
    aTP_Lamm_mx: real > fun_fu4540635375566031512t_real ).

tff(func_def_337,type,
    aTP_Lamm_my: real > fun_fu6899955116716589935t_real ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_re4238438383274954274t_real ).

tff(func_def_339,type,
    aTP_Lamm_na: fun_re4238438383274954274t_real ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_re4238438383274954274t_real ).

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

tff(func_def_342,type,
    aTP_Lamm_nd: real > fun_fu6899955116716589935t_real ).

tff(func_def_343,type,
    aTP_Lamm_ne: nat > fun_fu40286998686754419omplex ).

tff(func_def_344,type,
    aTP_Lamm_nf: nat > fun_fu6899955116716589935t_real ).

tff(func_def_345,type,
    aTP_Lamm_ng: nat > fun_co3258106519541737638omplex ).

tff(func_def_346,type,
    aTP_Lamm_nh: nat > fun_re4238438383274954274t_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: nat > fun_int_fun_nat_int ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_349,type,
    aTP_Lamm_nk: fun_nat_real > fun_se2100927751953696370t_real ).

tff(func_def_350,type,
    aTP_Lamm_nl: fun_nat_real ).

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

tff(func_def_352,type,
    aTP_Lamm_nn: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_353,type,
    aTP_Lamm_no: fun_re4238438383274954274t_real ).

tff(func_def_354,type,
    aTP_Lamm_np: fun_re4238438383274954274t_real ).

tff(func_def_355,type,
    aTP_Lamm_nq: complex > fun_nat_complex ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_358,type,
    aTP_Lamm_nt: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_359,type,
    aTP_Lamm_nu: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_360,type,
    aTP_Lamm_nv: real > fun_fu6899955116716589935t_real ).

tff(func_def_361,type,
    aTP_Lamm_nw: complex > fun_fu40286998686754419omplex ).

tff(func_def_362,type,
    aTP_Lamm_nx: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_363,type,
    aTP_Lamm_ny: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_364,type,
    aTP_Lamm_nz: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_366,type,
    aTP_Lamm_ob: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_complex_complex ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_int_int ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_real_real ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_nat_nat ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_rat_rat ).

tff(func_def_372,type,
    aTP_Lamm_oh: complex > fun_nat_complex ).

tff(func_def_373,type,
    aTP_Lamm_oi: rat > fun_nat_rat ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_re4238438383274954274t_real ).

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

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

tff(func_def_377,type,
    aTP_Lamm_om: fun_nat_fun_nat_real ).

tff(func_def_378,type,
    aTP_Lamm_on: complex > fun_na1591161823130732966omplex ).

tff(func_def_379,type,
    aTP_Lamm_oo: int > fun_nat_fun_int_int ).

tff(func_def_380,type,
    aTP_Lamm_op: real > fun_na6724076748692969250l_real ).

tff(func_def_381,type,
    aTP_Lamm_oq: rat > fun_nat_fun_rat_rat ).

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

tff(func_def_383,type,
    aTP_Lamm_os: complex > fun_na1591161823130732966omplex ).

tff(func_def_384,type,
    aTP_Lamm_ot: rat > fun_nat_fun_rat_rat ).

tff(func_def_385,type,
    aTP_Lamm_ou: real > fun_na6724076748692969250l_real ).

tff(func_def_386,type,
    aTP_Lamm_ov: complex > fun_nat_complex ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_re4238438383274954274t_real ).

tff(func_def_388,type,
    aTP_Lamm_ox: rat > fun_nat_rat ).

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

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

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

tff(func_def_392,type,
    aTP_Lamm_pb: fun_nat_fun_nat_real ).

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

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

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

tff(func_def_396,type,
    aTP_Lamm_pf: fun_nat_fun_nat_real ).

tff(func_def_397,type,
    aTP_Lamm_pg: fun_nat_nat ).

tff(func_def_398,type,
    aTP_Lamm_ph: fun_nat_int ).

tff(func_def_399,type,
    aTP_Lamm_pi: fun_int_int ).

tff(func_def_400,type,
    aTP_Lamm_pj: real > fun_fu8384527901749275179omplex ).

tff(func_def_401,type,
    aTP_Lamm_pk: nat > fun_fu40286998686754419omplex ).

tff(func_def_402,type,
    aTP_Lamm_pl: int > fun_fu3613808716698379563omplex ).

tff(func_def_403,type,
    aTP_Lamm_pm: complex > fun_fu5956788528830221615omplex ).

tff(func_def_404,type,
    aTP_Lamm_pn: real > fun_fu3077872570260440615l_real ).

tff(func_def_405,type,
    aTP_Lamm_po: nat > fun_fu6899955116716589935t_real ).

tff(func_def_406,type,
    aTP_Lamm_pp: int > fun_fu121957152452960295t_real ).

tff(func_def_407,type,
    aTP_Lamm_pq: complex > fun_fu7714627026455246123x_real ).

tff(func_def_408,type,
    aTP_Lamm_pr: real > fun_fu2598743018846156927al_rat ).

tff(func_def_409,type,
    aTP_Lamm_ps: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_410,type,
    aTP_Lamm_pt: real > fun_fu8384527901749275179omplex ).

tff(func_def_411,type,
    aTP_Lamm_pu: nat > fun_fu40286998686754419omplex ).

tff(func_def_412,type,
    aTP_Lamm_pv: int > fun_fu3613808716698379563omplex ).

tff(func_def_413,type,
    aTP_Lamm_pw: complex > fun_fu5956788528830221615omplex ).

tff(func_def_414,type,
    aTP_Lamm_px: real > fun_fu3077872570260440615l_real ).

tff(func_def_415,type,
    aTP_Lamm_py: nat > fun_fu6899955116716589935t_real ).

tff(func_def_416,type,
    aTP_Lamm_pz: int > fun_fu121957152452960295t_real ).

tff(func_def_417,type,
    aTP_Lamm_qa: complex > fun_fu7714627026455246123x_real ).

tff(func_def_418,type,
    aTP_Lamm_qb: real > fun_fu2598743018846156927al_rat ).

tff(func_def_419,type,
    aTP_Lamm_qc: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_421,type,
    aTP_Lamm_qe: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_422,type,
    aTP_Lamm_qf: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_423,type,
    aTP_Lamm_qg: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_424,type,
    aTP_Lamm_qh: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_425,type,
    aTP_Lamm_qi: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_426,type,
    aTP_Lamm_qj: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_427,type,
    aTP_Lamm_qk: fun_real_fun_real_o ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_rat_fun_rat_o ).

tff(func_def_429,type,
    aTP_Lamm_qm: fun_num_fun_num_o ).

tff(func_def_430,type,
    aTP_Lamm_qn: fun_int_fun_int_o ).

tff(func_def_431,type,
    aTP_Lamm_qo: fun_real_complex > fun_fu3532930458344041007omplex ).

tff(func_def_432,type,
    aTP_Lamm_qp: fun_nat_complex > fun_fu4302481349826706223omplex ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_int_complex > fun_fu3558165918884697647omplex ).

tff(func_def_434,type,
    aTP_Lamm_qr: fun_complex_complex > fun_fu3719809307426920623omplex ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_real_real > fun_fu4478067837645853357l_real ).

tff(func_def_436,type,
    aTP_Lamm_qt: fun_nat_real > fun_fu4002475321494201261t_real ).

tff(func_def_437,type,
    aTP_Lamm_qu: fun_int_real > fun_fu7030473000426307245t_real ).

tff(func_def_438,type,
    aTP_Lamm_qv: fun_complex_real > fun_fu3043978019632300333x_real ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_real_rat > fun_fu5551332503302594393al_rat ).

tff(func_def_440,type,
    aTP_Lamm_qx: fun_nat_rat > fun_fu3162257917499486297at_rat ).

tff(func_def_441,type,
    aTP_Lamm_qy: real > fun_fu3106432010075488275t_real ).

tff(func_def_442,type,
    aTP_Lamm_qz: complex > fun_fu4781654129426620053omplex ).

tff(func_def_443,type,
    aTP_Lamm_ra: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_444,type,
    aTP_Lamm_rb: int > fun_fu4512855384587262995at_int ).

tff(func_def_445,type,
    aTP_Lamm_rc: int > fun_fu6415725884910174923nt_int ).

tff(func_def_446,type,
    aTP_Lamm_rd: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_447,type,
    aTP_Lamm_re: fun_nat_real > fun_nat_real ).

tff(func_def_448,type,
    aTP_Lamm_rf: fun_nat_rat > fun_nat_rat ).

tff(func_def_449,type,
    aTP_Lamm_rg: fun_nat_nat > fun_nat_nat ).

tff(func_def_450,type,
    aTP_Lamm_rh: fun_nat_int > fun_nat_int ).

tff(func_def_451,type,
    aTP_Lamm_ri: fun_real_complex > fun_real_o ).

tff(func_def_452,type,
    aTP_Lamm_rj: fun_int_complex > fun_int_o ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_complex_complex > fun_complex_o ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_real_real > fun_real_o ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_int_real > fun_int_o ).

tff(func_def_456,type,
    aTP_Lamm_rn: fun_complex_real > fun_complex_o ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_real_rat > fun_real_o ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_int_rat > fun_int_o ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_complex_rat > fun_complex_o ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_real_nat > fun_real_o ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_462,type,
    aTP_Lamm_rt: fun_nat_int > fun_na7654559027617327379at_int ).

tff(func_def_463,type,
    aTP_Lamm_ru: nat > fun_fu3593947265352647275omplex ).

tff(func_def_464,type,
    aTP_Lamm_rv: nat > fun_fu3593947265352647275omplex ).

tff(func_def_465,type,
    aTP_Lamm_rw: nat > fun_fu1620311477532340197t_real ).

tff(func_def_466,type,
    aTP_Lamm_rx: nat > fun_fu1620311477532340197t_real ).

tff(func_def_467,type,
    aTP_Lamm_ry: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_468,type,
    aTP_Lamm_rz: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_469,type,
    aTP_Lamm_sa: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_470,type,
    aTP_Lamm_sb: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_471,type,
    aTP_Lamm_sc: nat > fun_fu960360787657196261at_int ).

tff(func_def_472,type,
    aTP_Lamm_sd: nat > fun_fu960360787657196261at_int ).

tff(func_def_473,type,
    aTP_Lamm_se: fun_nat_fun_nat_nat ).

tff(func_def_474,type,
    aTP_Lamm_sf: fun_nat_fun_nat_nat ).

tff(func_def_475,type,
    aTP_Lamm_sg: nat > fun_nat_fun_nat_nat ).

tff(func_def_476,type,
    aTP_Lamm_sh: nat > fun_na3244735409550470327at_nat ).

tff(func_def_477,type,
    aTP_Lamm_si: nat > fun_na3244735409550470327at_nat ).

tff(func_def_478,type,
    aTP_Lamm_sj: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_480,type,
    aTP_Lamm_sl: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_nat_fun_nat_nat ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_nat_fun_nat_nat ).

tff(func_def_483,type,
    aTP_Lamm_so: nat > fun_nat_complex ).

tff(func_def_484,type,
    aTP_Lamm_sp: int > fun_int_fun_int_o ).

tff(func_def_485,type,
    aTP_Lamm_sq: int > fun_int_fun_int_o ).

tff(func_def_486,type,
    aTP_Lamm_sr: complex > fun_na1554462459066888140plex_o ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_real_fun_real_o ).

tff(func_def_488,type,
    aTP_Lamm_st: fun_real_fun_real_o ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_real_fun_real_o ).

tff(func_def_490,type,
    aTP_Lamm_sv: fun_real_o ).

tff(func_def_491,type,
    aTP_Lamm_sw: fun_co4998825143550818160real_o ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_real_fun_int_o ).

tff(func_def_493,type,
    aTP_Lamm_sy: rat > fun_int_o ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_in1696471567231710611nt_int ).

tff(func_def_495,type,
    aTP_Lamm_ta: int > fun_in5570076352459579423_int_o ).

tff(func_def_496,type,
    aTP_Lamm_tb: rat > fun_int_fun_int_o ).

tff(func_def_497,type,
    aTP_Lamm_tc: int > fun_in5570076352459579423_int_o ).

tff(func_def_498,type,
    aTP_Lamm_td: rat > fun_int_fun_int_o ).

tff(func_def_499,type,
    aTP_Lamm_te: int > fun_in2204242111582549184nt_int ).

tff(func_def_500,type,
    aTP_Lamm_tf: rat > fun_in1696471567231710611nt_int ).

tff(func_def_501,type,
    aTP_Lamm_tg: int > fun_in2204242111582549184nt_int ).

tff(func_def_502,type,
    aTP_Lamm_th: rat > fun_in1696471567231710611nt_int ).

tff(func_def_503,type,
    aTP_Lamm_ti: int > fun_in2204242111582549184nt_int ).

tff(func_def_504,type,
    aTP_Lamm_tj: rat > fun_in1696471567231710611nt_int ).

tff(func_def_505,type,
    aTP_Lamm_tk: int > fun_in2204242111582549184nt_int ).

tff(func_def_506,type,
    aTP_Lamm_tl: rat > fun_in1696471567231710611nt_int ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_Co1092983284983208416er_int ).

tff(func_def_508,type,
    aTP_Lamm_tn: fun_Co8521658056209057742er_num ).

tff(func_def_509,type,
    aTP_Lamm_to: fun_Co3583066429914935172er_nat ).

tff(func_def_510,type,
    aTP_Lamm_tp: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_511,type,
    aTP_Lamm_tq: set_nat > fun_nat_fun_nat_o ).

tff(func_def_512,type,
    aTP_Lamm_tr: set_nat > fun_nat_fun_nat_o ).

tff(func_def_513,type,
    aTP_Lamm_ts: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_514,type,
    aTP_Lamm_tt: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_515,type,
    aTP_Lamm_tu: fun_nat_o ).

tff(func_def_516,type,
    aTP_Lamm_tv: fun_nat_fun_nat_nat ).

tff(func_def_517,type,
    aTP_Lamm_tw: fun_nat_fun_nat_nat ).

tff(func_def_518,type,
    aTP_Lamm_tx: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_519,type,
    aTP_Lamm_ty: nat > fun_na4143055713577223196at_nat ).

tff(func_def_520,type,
    aTP_Lamm_tz: fun_na1668100129766719005at_nat ).

tff(func_def_521,type,
    aTP_Lamm_ua: fun_na4138050610385705875at_nat ).

tff(func_def_522,type,
    aTP_Lamm_ub: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_523,type,
    aTP_Lamm_uc: fun_na5914473681949881652_nat_o ).

tff(func_def_524,type,
    aTP_Lamm_ud: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_525,type,
    aTP_Lamm_ue: fun_na5914473681949881652_nat_o ).

tff(func_def_526,type,
    aTP_Lamm_uf: nat > fun_na4143055713577223196at_nat ).

tff(func_def_527,type,
    aTP_Lamm_ug: fun_na1668100129766719005at_nat ).

tff(func_def_528,type,
    aTP_Lamm_uh: nat > fun_na4143055713577223196at_nat ).

tff(func_def_529,type,
    aTP_Lamm_ui: fun_na1668100129766719005at_nat ).

tff(func_def_530,type,
    aTP_Lamm_uj: fun_nat_fun_nat_nat ).

tff(func_def_531,type,
    aTP_Lamm_uk: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_532,type,
    aTP_Lamm_ul: set_int > fun_int_o ).

tff(func_def_533,type,
    aTP_Lamm_um: num > fun_num_int ).

tff(func_def_534,type,
    aTP_Lamm_un: fun_num_option_num ).

tff(func_def_535,type,
    aTP_Lamm_uo: num > fun_nat_option_num ).

tff(func_def_536,type,
    aTP_Lamm_up: fun_nat_option_num ).

tff(func_def_537,type,
    aTP_Lamm_uq: num > fun_nat_option_num ).

tff(func_def_538,type,
    aTP_Lamm_ur: fun_num_option_num ).

tff(func_def_539,type,
    aTP_Lamm_us: nat > fun_num_option_num ).

tff(func_def_540,type,
    aTP_Lamm_ut: nat > fun_num_option_num ).

tff(func_def_541,type,
    aTP_Lamm_uu: num > fun_nat_option_num ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_na7595719129879163854on_num ).

tff(func_def_543,type,
    aTP_Lamm_uw: fun_real_o ).

tff(func_def_544,type,
    aTP_Lamm_ux: fun_real_o ).

tff(func_def_545,type,
    aTP_Lamm_uy: fun_nat_fun_nat_nat ).

tff(func_def_546,type,
    aTP_Lamm_uz: fun_int_fun_int_int ).

tff(func_def_547,type,
    aTP_Lamm_va: fun_nat_fun_nat_nat ).

tff(func_def_548,type,
    aTP_Lamm_vb: fun_nat_real > fun_nat_real ).

tff(func_def_549,type,
    aTP_Lamm_vc: fun_na6724076748692969250l_real ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_na6724076748692969250l_real ).

tff(func_def_551,type,
    aTP_Lamm_ve: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_552,type,
    aTP_Lamm_vf: fun_re7681423839302404990l_real ).

tff(func_def_553,type,
    aTP_Lamm_vg: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_554,type,
    aTP_Lamm_vh: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_555,type,
    aTP_Lamm_vi: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_556,type,
    aTP_Lamm_vj: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_557,type,
    aTP_Lamm_vk: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_558,type,
    aTP_Lamm_vl: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_559,type,
    aTP_Lamm_vm: fun_nat_real > fun_real_real ).

tff(func_def_560,type,
    aTP_Lamm_vn: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_561,type,
    aTP_Lamm_vo: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_562,type,
    aTP_Lamm_vp: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_563,type,
    aTP_Lamm_vq: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_564,type,
    aTP_Lamm_vr: nat > fun_fu3612569900928539882l_real ).

tff(func_def_565,type,
    aTP_Lamm_vs: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_566,type,
    aTP_Lamm_vt: fun_real_real ).

tff(func_def_567,type,
    aTP_Lamm_vu: fun_re4238438383274954274t_real ).

tff(func_def_568,type,
    aTP_Lamm_vv: fun_real_real ).

tff(func_def_569,type,
    aTP_Lamm_vw: fun_nat_real > fun_nat_real ).

tff(func_def_570,type,
    aTP_Lamm_vx: fun_nat_real ).

tff(func_def_571,type,
    aTP_Lamm_vy: fun_nat_real > fun_nat_real ).

tff(func_def_572,type,
    aTP_Lamm_vz: fun_nat_real ).

tff(func_def_573,type,
    aTP_Lamm_wa: fun_re4238438383274954274t_real ).

tff(func_def_574,type,
    aTP_Lamm_wb: fun_re4238438383274954274t_real ).

tff(func_def_575,type,
    aTP_Lamm_wc: real > fun_re4238438383274954274t_real ).

tff(func_def_576,type,
    aTP_Lamm_wd: fun_re4238438383274954274t_real ).

tff(func_def_577,type,
    aTP_Lamm_we: fun_re4238438383274954274t_real ).

tff(func_def_578,type,
    aTP_Lamm_wf: fun_re4238438383274954274t_real ).

tff(func_def_579,type,
    aTP_Lamm_wg: fun_re4238438383274954274t_real ).

tff(func_def_580,type,
    aTP_Lamm_wh: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_581,type,
    aTP_Lamm_wi: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_582,type,
    aTP_Lamm_wj: fun_nat_real > fun_nat_real ).

tff(func_def_583,type,
    aTP_Lamm_wk: fun_nat_real > fun_nat_real ).

tff(func_def_584,type,
    aTP_Lamm_wl: fun_nat_real > fun_nat_real ).

tff(func_def_585,type,
    aTP_Lamm_wm: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_586,type,
    aTP_Lamm_wn: fun_na6724076748692969250l_real ).

tff(func_def_587,type,
    aTP_Lamm_wo: fun_re7681423839302404990l_real ).

tff(func_def_588,type,
    aTP_Lamm_wp: nat > fun_fu3077872570260440615l_real ).

tff(func_def_589,type,
    aTP_Lamm_wq: fun_re7681423839302404990l_real ).

tff(func_def_590,type,
    aTP_Lamm_wr: fun_real_o > fun_real_fun_real_o ).

tff(func_def_591,type,
    aTP_Lamm_ws: fun_nat_set_nat ).

tff(func_def_592,type,
    aTP_Lamm_wt: nat > fun_nat_fun_nat_o ).

tff(func_def_593,type,
    aTP_Lamm_wu: nat > fun_nat_fun_nat_o ).

tff(func_def_594,type,
    aTP_Lamm_wv: fun_real_real > fun_real_real ).

tff(func_def_595,type,
    aTP_Lamm_ww: fun_real_real > fun_real_real ).

tff(func_def_596,type,
    aTP_Lamm_wx: fun_nat_fun_nat_nat ).

tff(func_def_597,type,
    aTP_Lamm_wy: fun_nat_fun_nat_nat ).

tff(func_def_598,type,
    aTP_Lamm_wz: fun_nat_nat ).

tff(func_def_599,type,
    aTP_Lamm_xa: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_600,type,
    aTP_Lamm_xb: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_601,type,
    aTP_Lamm_xc: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_602,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_603,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_604,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_605,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_606,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_607,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_608,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_609,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_610,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_611,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_612,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_613,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_614,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_615,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_616,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_617,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_618,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_619,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_620,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_621,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_622,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_623,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_624,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_625,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_626,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_627,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_628,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_629,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_630,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_631,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_632,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_633,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_634,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_635,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_636,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_637,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_638,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_639,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_640,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_641,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_642,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_643,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_644,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_645,type,
    bit_se1146084159140164899it_int: fun_int_fun_nat_o ).

tff(func_def_646,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_647,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_648,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_649,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_650,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_651,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_652,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_653,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_654,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_655,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_656,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_657,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_658,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_659,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_660,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_661,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_662,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_663,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_664,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_665,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_666,type,
    code_Target_negative: fun_num_int ).

tff(func_def_667,type,
    code_Target_positive: fun_num_int ).

tff(func_def_668,type,
    complete_Inf_Inf_nat: set_nat > nat ).

tff(func_def_669,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_670,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_671,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_672,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_673,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_674,type,
    arg: fun_complex_real ).

tff(func_def_675,type,
    cis: fun_real_complex ).

tff(func_def_676,type,
    cnj: fun_complex_complex ).

tff(func_def_677,type,
    complex2: fun_re7812779276277946752omplex ).

tff(func_def_678,type,
    im: fun_complex_real ).

tff(func_def_679,type,
    re: fun_complex_real ).

tff(func_def_680,type,
    csqrt: fun_complex_complex ).

tff(func_def_681,type,
    imaginary_unit: complex ).

tff(func_def_682,type,
    adjust_div: fun_Pr982841511892225912nt_int ).

tff(func_def_683,type,
    adjust_mod: fun_int_fun_int_int ).

tff(func_def_684,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_685,type,
    eucl_rel_int: ( int * int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_686,type,
    unique6319869463603278526ux_int: fun_Pr3238374608701176162_int_o ).

tff(func_def_687,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_688,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_689,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_690,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_691,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_692,type,
    unique5024387138958732305ep_int: num > fun_Pr2478283820680522243nt_int ).

tff(func_def_693,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_694,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_695,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_696,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_697,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_698,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_699,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_700,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_701,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_702,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_703,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_704,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_705,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_706,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_707,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_708,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_709,type,
    at_bot_real: filter_real ).

tff(func_def_710,type,
    at_top_nat: filter_nat ).

tff(func_def_711,type,
    at_top_real: filter_real ).

tff(func_def_712,type,
    finite_card_o: set_o > nat ).

tff(func_def_713,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_714,type,
    finite_card_int: set_int > nat ).

tff(func_def_715,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_716,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_717,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_718,type,
    finite_card_char: set_char > nat ).

tff(func_def_719,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_720,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_721,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_722,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_723,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_724,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_725,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_726,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_727,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_728,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_729,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_730,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_731,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_732,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_733,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_734,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_735,type,
    abs_abs_int: fun_int_int ).

tff(func_def_736,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_737,type,
    abs_abs_real: fun_real_real ).

tff(func_def_738,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_739,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_740,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_741,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_742,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_743,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_744,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_745,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_746,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_747,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_748,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_749,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_750,type,
    minus_8169481405280535082plex_o: ( fun_complex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_751,type,
    minus_7151557278095657260_int_o: ( fun_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_752,type,
    minus_5761417318614613624_nat_o: ( fun_list_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_753,type,
    minus_8972599623528345224_nat_o: ( fun_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_754,type,
    minus_404528632214381484real_o: ( fun_real_o * fun_real_o ) > fun_real_o ).

tff(func_def_755,type,
    one_one_Code_integer: code_integer ).

tff(func_def_756,type,
    one_one_complex: complex ).

tff(func_def_757,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_758,type,
    one_one_int: int ).

tff(func_def_759,type,
    one_one_nat: nat ).

tff(func_def_760,type,
    one_one_rat: rat ).

tff(func_def_761,type,
    one_one_real: real ).

tff(func_def_762,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_763,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_764,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_765,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_766,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_767,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_768,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_769,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_770,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_771,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_772,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_773,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_774,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_775,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_776,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_777,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_778,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_779,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_780,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_781,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_782,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_783,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_784,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_785,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_786,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_787,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_788,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_789,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_790,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_791,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_792,type,
    zero_zero_complex: complex ).

tff(func_def_793,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_794,type,
    zero_zero_int: int ).

tff(func_def_795,type,
    zero_zero_nat: nat ).

tff(func_def_796,type,
    zero_zero_rat: rat ).

tff(func_def_797,type,
    zero_zero_real: real ).

tff(func_def_798,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_799,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_800,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_801,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_802,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_803,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_804,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_805,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_806,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_807,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_808,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_809,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_810,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_811,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_812,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_813,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_814,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_815,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_816,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_817,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_818,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_819,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_820,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_821,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_822,type,
    groups8682486955453173170nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_823,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_824,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_825,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_826,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_827,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_828,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_829,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_830,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_831,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_832,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_833,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_834,type,
    groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_835,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_836,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_837,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_838,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_839,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_840,type,
    groups6225526099057966256nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_841,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_842,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_843,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_844,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_845,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_846,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_847,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_848,type,
    the_int: fun_int_o > int ).

tff(func_def_849,type,
    the_real: fun_real_o > real ).

tff(func_def_850,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_851,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_852,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_853,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_854,type,
    nat2: fun_int_nat ).

tff(func_def_855,type,
    ring_1_Ints_real: set_real ).

tff(func_def_856,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_857,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_858,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_859,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_860,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_861,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_862,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_863,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_864,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_865,type,
    at_infinity_real: filter_real ).

tff(func_def_866,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_867,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_868,type,
    distinct_int: fun_list_int_o ).

tff(func_def_869,type,
    distinct_nat: fun_list_nat_o ).

tff(func_def_870,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_871,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_872,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_873,type,
    nil_int: list_int ).

tff(func_def_874,type,
    nil_nat: list_nat ).

tff(func_def_875,type,
    hd_nat: list_nat > nat ).

tff(func_def_876,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_877,type,
    set_o2: list_o > set_o ).

tff(func_def_878,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_879,type,
    set_int2: list_int > set_int ).

tff(func_def_880,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_881,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_882,type,
    set_real2: list_real > set_real ).

tff(func_def_883,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_884,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_885,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_886,type,
    list_update_o: ( list_o * nat * $o ) > list_o ).

tff(func_def_887,type,
    list_update_complex: ( list_complex * nat * complex ) > list_complex ).

tff(func_def_888,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_889,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_890,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_891,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_892,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_893,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_894,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_895,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_896,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_897,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_898,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_899,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_900,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_901,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_902,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_903,type,
    nth_Pr8522763379788166057eger_o: ( list_P8526636022914148096eger_o * nat ) > produc6271795597528267376eger_o ).

tff(func_def_904,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_905,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_906,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_907,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_908,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_909,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_910,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_911,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_912,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_913,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_914,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_915,type,
    produc3607205314601156340eger_o: ( list_Code_integer * list_o ) > list_P8526636022914148096eger_o ).

tff(func_def_916,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_917,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_918,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_919,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_920,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_921,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_922,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_923,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_924,type,
    replicate_o: ( nat * $o ) > list_o ).

tff(func_def_925,type,
    replicate_complex: ( nat * complex ) > list_complex ).

tff(func_def_926,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_927,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_928,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_929,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_930,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_931,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_932,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_933,type,
    upto: ( int * int ) > list_int ).

tff(func_def_934,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_935,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_936,type,
    suc: fun_nat_nat ).

tff(func_def_937,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_938,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_939,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_940,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_941,type,
    pred: fun_nat_nat ).

tff(func_def_942,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_943,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_944,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_945,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_946,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_947,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_948,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_949,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_950,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_951,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_952,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_953,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_954,type,
    size_size_list_o: list_o > nat ).

tff(func_def_955,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_956,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_957,type,
    size_size_list_int: list_int > nat ).

tff(func_def_958,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_959,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_960,type,
    size_size_list_num: list_num > nat ).

tff(func_def_961,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_962,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_963,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

tff(func_def_964,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_965,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

tff(func_def_966,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_967,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_968,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_969,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_970,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_971,type,
    size_size_list_real: list_real > nat ).

tff(func_def_972,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_973,type,
    size_size_num: fun_num_nat ).

tff(func_def_974,type,
    size_size_option_nat: option_nat > nat ).

tff(func_def_975,type,
    size_size_option_num: option_num > nat ).

tff(func_def_976,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_977,type,
    size_size_char: char > nat ).

tff(func_def_978,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_979,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_980,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_981,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_982,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_983,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_984,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_985,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_986,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_987,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_988,type,
    sqrt: fun_real_real ).

tff(func_def_989,type,
    bitM: fun_num_num ).

tff(func_def_990,type,
    inc: fun_num_num ).

tff(func_def_991,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_992,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_993,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_994,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_995,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_996,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_997,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_998,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_999,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_1000,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_1001,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_1002,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_1003,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_1004,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_1005,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_1006,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_1007,type,
    bit0: fun_num_num ).

tff(func_def_1008,type,
    bit1: fun_num_num ).

tff(func_def_1009,type,
    one: num ).

tff(func_def_1010,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_1011,type,
    size_num: fun_num_nat ).

tff(func_def_1012,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1013,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_1014,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1015,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1016,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1017,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1018,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_1019,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_1020,type,
    pow: fun_num_fun_num_num ).

tff(func_def_1021,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1022,type,
    sqr: fun_num_num ).

tff(func_def_1023,type,
    none_nat: option_nat ).

tff(func_def_1024,type,
    none_num: option_num ).

tff(func_def_1025,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1026,type,
    some_nat: nat > option_nat ).

tff(func_def_1027,type,
    some_num: num > option_num ).

tff(func_def_1028,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1029,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1030,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1031,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1032,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1033,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1034,type,
    size_option_nat: ( fun_nat_nat * option_nat ) > nat ).

tff(func_def_1035,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_1036,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_1037,type,
    the_nat: option_nat > nat ).

tff(func_def_1038,type,
    the_num: option_num > num ).

tff(func_def_1039,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1040,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_1041,type,
    bot_bot_nat: nat ).

tff(func_def_1042,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1043,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_1044,type,
    bot_bot_set_int: set_int ).

tff(func_def_1045,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_1046,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1047,type,
    bot_bot_set_num: set_num ).

tff(func_def_1048,type,
    bot_bo5379713665208646970eger_o: set_Pr448751882837621926eger_o ).

tff(func_def_1049,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_1050,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1051,type,
    bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).

tff(func_def_1052,type,
    bot_bo9056780473022590049um_num: set_Pr8218934625190621173um_num ).

tff(func_def_1053,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1054,type,
    bot_bot_set_real: set_real ).

tff(func_def_1055,type,
    bot_bot_set_set_int: set_set_int ).

tff(func_def_1056,type,
    bot_bo897209107778963633un_o_o: fun_Co480733329897759773un_o_o ).

tff(func_def_1057,type,
    bot_bo8750099748576881071plex_o: fun_complex_o ).

tff(func_def_1058,type,
    bot_bot_fun_int_o: fun_int_o ).

tff(func_def_1059,type,
    bot_bo428638681919004382_int_o: fun_int_fun_int_o ).

tff(func_def_1060,type,
    bot_bo8828579575001852285_nat_o: fun_list_nat_o ).

tff(func_def_1061,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_1062,type,
    bot_bo1118997454112379798_nat_o: fun_nat_fun_nat_o ).

tff(func_def_1063,type,
    bot_bo1877178017081890764_num_o: fun_nat_fun_num_o ).

tff(func_def_1064,type,
    bot_bo3657453288633029378_num_o: fun_num_fun_num_o ).

tff(func_def_1065,type,
    bot_bot_fun_real_o: fun_real_o ).

tff(func_def_1066,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1067,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1068,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_1069,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_1070,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_1071,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_1072,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_1073,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1074,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1075,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_1076,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_1077,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_1078,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_1079,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_1080,type,
    ord_le1572679713340831354_nat_o: fun_Pr4796943543331071514_nat_o > fun_fu6891447142836604759at_o_o ).

tff(func_def_1081,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1082,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1083,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1084,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1085,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_1086,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_1087,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_1088,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1089,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1090,type,
    ord_max_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_1091,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_1092,type,
    top_top_set_o: set_o ).

tff(func_def_1093,type,
    top_top_set_nat: set_nat ).

tff(func_def_1094,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1095,type,
    top_top_set_real: set_real ).

tff(func_def_1096,type,
    top_top_set_char: set_char ).

tff(func_def_1097,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1098,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1099,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1100,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1101,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1102,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1103,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_1104,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_1105,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_1106,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_1107,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_1108,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1109,type,
    product_Pair_int_int: fun_in1696471567231710611nt_int ).

tff(func_def_1110,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1111,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1112,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_1113,type,
    produc1195630363706982562at_num: ( nat * product_prod_nat_num ) > produc2963631642982155120at_num ).

tff(func_def_1114,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1115,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1116,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1117,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1118,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_1119,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1120,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1121,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1122,type,
    produc7967433646104525454on_nat: ( fun_nat_fun_nat_o * produc4953844613479565601on_nat ) > produc1615844007061411358on_nat ).

tff(func_def_1123,type,
    produc2818902965508115497at_nat: ( fun_nat_fun_nat_nat * produc7248412053542808358at_nat ) > produc9217583074051984497at_nat ).

tff(func_def_1124,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1125,type,
    produc460779904311030791at_num: ( fun_nat_fun_num_num * produc2963631642982155120at_num ) > produc8114805097830739791at_num ).

tff(func_def_1126,type,
    produc1140783415258738358on_num: ( fun_num_fun_num_o * produc3447558737645232053on_num ) > produc50614890452615238on_num ).

tff(func_def_1127,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1128,type,
    produc3653971535690468304at_nat: ( fun_Pr2028404973800837934_nat_o * produc6121120109295599847at_nat ) > produc3739950874144486240at_nat ).

tff(func_def_1129,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1130,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1131,type,
    produc7828578312038201481er_o_o: fun_Co480733329897759773un_o_o > fun_Pr3290071492984375169er_o_o ).

tff(func_def_1132,type,
    produc1043322548047392435omplex: ( fun_Co5015990272074005067omplex * produc6271795597528267376eger_o ) > set_complex ).

tff(func_def_1133,type,
    produc1253318751659547953et_int: ( fun_Co2587678820519358153et_int * produc6271795597528267376eger_o ) > set_int ).

tff(func_def_1134,type,
    produc5431169771168744661et_nat: ( fun_Co7401227239307276909et_nat * produc6271795597528267376eger_o ) > set_nat ).

tff(func_def_1135,type,
    produc242741666403216561t_real: ( fun_Co5368275265270938953t_real * produc6271795597528267376eger_o ) > set_real ).

tff(func_def_1136,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1137,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1138,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1139,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_1140,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1141,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1142,type,
    produc8211389475949308722nt_int: fun_int_fun_int_int > fun_Pr982841511892225912nt_int ).

tff(func_def_1143,type,
    produc4245557441103728435nt_int: fun_in1696471567231710611nt_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1144,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1145,type,
    produc1917071388513777916omplex: ( fun_na1142814060743658952omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1146,type,
    produc6840382203811409530at_int: ( fun_nat_fun_nat_int * product_prod_nat_nat ) > int ).

tff(func_def_1147,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1148,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1149,type,
    produc6207742614233964070at_rat: ( fun_nat_fun_nat_rat * product_prod_nat_nat ) > rat ).

tff(func_def_1150,type,
    produc1703576794950452218t_real: ( fun_nat_fun_nat_real * product_prod_nat_nat ) > real ).

tff(func_def_1151,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_1152,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1153,type,
    produc4927758841916487424_num_o: fun_nat_fun_num_o > fun_Pr5555124106300582480_num_o ).

tff(func_def_1154,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1155,type,
    produc4130284055270567454et_nat: ( fun_na3896347130304379370et_nat * product_prod_nat_num ) > set_nat ).

tff(func_def_1156,type,
    produc1435849484188172666t_real: ( fun_na3666575854997362246t_real * product_prod_nat_num ) > set_real ).

tff(func_def_1157,type,
    produc5703948589228662326_num_o: fun_num_fun_num_o > fun_Pr6331313853612757382_num_o ).

tff(func_def_1158,type,
    produc2866383454006189126omplex: ( fun_nu9041852840018610706omplex * product_prod_num_num ) > set_complex ).

tff(func_def_1159,type,
    produc6406642877701697732et_int: ( fun_nu4940571614878387344et_int * product_prod_num_num ) > set_int ).

tff(func_def_1160,type,
    produc1361121860356118632et_nat: ( fun_nu530747996811530292et_nat * product_prod_num_num ) > set_nat ).

tff(func_def_1161,type,
    produc8296048397933160132t_real: ( fun_nu4698968662094489488t_real * product_prod_num_num ) > set_real ).

tff(func_def_1162,type,
    product_fst_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1163,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1164,type,
    product_snd_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1165,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1166,type,
    fract: int > fun_int_rat ).

tff(func_def_1167,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1168,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1169,type,
    normalize: fun_Pr2478283820680522243nt_int ).

tff(func_def_1170,type,
    of_int: fun_int_rat ).

tff(func_def_1171,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1172,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1173,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1174,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1175,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1176,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1177,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1178,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1179,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1180,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1181,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1182,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1183,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1184,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1185,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1186,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_1187,type,
    dvd_dvd_complex: fun_co1148497455491383662plex_o ).

tff(func_def_1188,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_1189,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_1190,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_1191,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_1192,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1193,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_1194,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1195,type,
    zero_n356916108424825756nteger: $o > code_integer ).

tff(func_def_1196,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_1197,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_1198,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_1199,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_1200,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_1201,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1202,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1203,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1204,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1205,type,
    sums_complex: fun_nat_complex > fun_complex_o ).

tff(func_def_1206,type,
    sums_int: fun_nat_int > fun_int_o ).

tff(func_def_1207,type,
    sums_nat: fun_nat_nat > fun_nat_o ).

tff(func_def_1208,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_1209,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_1210,type,
    collect_Code_integer: fun_Code_integer_o > set_Code_integer ).

tff(func_def_1211,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_1212,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_1213,type,
    collect_list_o: fun_list_o_o > set_list_o ).

tff(func_def_1214,type,
    collect_list_complex: fun_list_complex_o > set_list_complex ).

tff(func_def_1215,type,
    collect_list_int: fun_list_int_o > set_list_int ).

tff(func_def_1216,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_1217,type,
    collec5608196760682091941T_VEBT: fun_list_VEBT_VEBT_o > set_list_VEBT_VEBT ).

tff(func_def_1218,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_1219,type,
    collect_num: fun_num_o > set_num ).

tff(func_def_1220,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_1221,type,
    collect_rat: fun_rat_o > set_rat ).

tff(func_def_1222,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_1223,type,
    collect_set_complex: fun_set_complex_o > set_set_complex ).

tff(func_def_1224,type,
    collect_set_int: fun_set_int_o > set_set_int ).

tff(func_def_1225,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_1226,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_o > set_VEBT_VEBT ).

tff(func_def_1227,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1228,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1229,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1230,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1231,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1232,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1233,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1234,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1235,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1236,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1237,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1238,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1239,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1240,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1241,type,
    set_fo8365102181078989356at_num: ( fun_nat_fun_num_num * nat ) > fun_nat_fun_num_num ).

tff(func_def_1242,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1243,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1244,type,
    set_fo3699595496184130361el_nat: fun_Pr8463018485500633518_nat_o ).

tff(func_def_1245,type,
    set_fo256927282339908995el_num: fun_Pr7588637180273442094_num_o ).

tff(func_def_1246,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1247,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1248,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1249,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1250,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1251,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_1252,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1253,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1254,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_1255,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1256,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1257,type,
    set_ord_atMost_nat: nat > set_nat ).

tff(func_def_1258,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1259,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1260,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1261,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

tff(func_def_1262,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1263,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1264,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1265,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1266,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1267,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1268,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1269,type,
    set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).

tff(func_def_1270,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1271,type,
    set_ord_lessThan_nat: nat > set_nat ).

tff(func_def_1272,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1273,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1274,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1275,type,
    ascii_of: char > char ).

tff(func_def_1276,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1277,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1278,type,
    integer_of_char: char > code_integer ).

tff(func_def_1279,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1280,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1281,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1282,type,
    arccos: fun_real_real ).

tff(func_def_1283,type,
    arcosh_real: fun_real_real ).

tff(func_def_1284,type,
    arcsin: fun_real_real ).

tff(func_def_1285,type,
    arctan: fun_real_real ).

tff(func_def_1286,type,
    arsinh_real: fun_real_real ).

tff(func_def_1287,type,
    artanh_real: fun_real_real ).

tff(func_def_1288,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1289,type,
    cos_real: fun_real_real ).

tff(func_def_1290,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1291,type,
    cosh_real: fun_real_real ).

tff(func_def_1292,type,
    cot_real: fun_real_real ).

tff(func_def_1293,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1294,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1295,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1296,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1297,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1298,type,
    exp_real: fun_real_real ).

tff(func_def_1299,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1300,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1301,type,
    pi: real ).

tff(func_def_1302,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1303,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1304,type,
    sin_real: fun_real_real ).

tff(func_def_1305,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1306,type,
    sinh_real: fun_real_real ).

tff(func_def_1307,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1308,type,
    tan_real: fun_real_real ).

tff(func_def_1309,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1310,type,
    tanh_real: fun_real_real ).

tff(func_def_1311,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1312,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1313,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1314,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1315,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1316,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1317,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1318,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1319,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1320,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1321,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1322,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1323,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1324,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1325,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1326,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1327,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1328,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1329,type,
    vEBT_vebt_insert_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1330,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1331,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_o ).

tff(func_def_1332,type,
    vEBT_V6963167321098673237ll_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1333,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1334,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1335,type,
    vEBT_vebt_member_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1336,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1337,type,
    vEBT_VEBT_greater: fun_op5794009454290973322_nat_o ).

tff(func_def_1338,type,
    vEBT_VEBT_less: fun_op5794009454290973322_nat_o ).

tff(func_def_1339,type,
    vEBT_VEBT_lesseq: fun_op5794009454290973322_nat_o ).

tff(func_def_1340,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_o ).

tff(func_def_1341,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_o ).

tff(func_def_1342,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1343,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1344,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1345,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1346,type,
    vEBT_V3895251965096974666el_nat: fun_Pr1283576600272279410_nat_o ).

tff(func_def_1347,type,
    vEBT_V452583751252753300el_num: fun_Pr4822914654802553862_num_o ).

tff(func_def_1348,type,
    vEBT_V7235779383477046023at_nat: fun_Pr4779616527126863150_nat_o ).

tff(func_def_1349,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1350,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1351,type,
    vEBT_vebt_maxt_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1352,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1353,type,
    vEBT_vebt_mint_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1354,type,
    vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1355,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1356,type,
    vEBT_vebt_pred_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1357,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_1358,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1359,type,
    accp_P1096762738010456898nt_int: fun_Pr9018117161326028078_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1360,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1361,type,
    accp_P3113834385874906142um_num: fun_Pr4799464687642144302_num_o > fun_Pr6331313853612757382_num_o ).

tff(func_def_1362,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_1363,type,
    measure_int: fun_int_nat > set_Pr958786334691620121nt_int ).

tff(func_def_1364,type,
    measure_nat: fun_nat_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1365,type,
    measure_num: fun_num_nat > set_Pr8218934625190621173um_num ).

tff(func_def_1366,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1367,type,
    aa_o_set_complex: ( fun_o_set_complex * $o ) > set_complex ).

tff(func_def_1368,type,
    aa_o_set_int: ( fun_o_set_int * $o ) > set_int ).

tff(func_def_1369,type,
    aa_o_set_nat: ( fun_o_set_nat * $o ) > set_nat ).

tff(func_def_1370,type,
    aa_o_set_real: ( fun_o_set_real * $o ) > set_real ).

tff(func_def_1371,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1372,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1373,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1374,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1375,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1376,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1377,type,
    aa_Cod6379977994291289310un_o_o: ( fun_Co480733329897759773un_o_o * code_integer ) > fun_o_o ).

tff(func_def_1378,type,
    aa_Cod2779864889637189172omplex: ( fun_Co5015990272074005067omplex * code_integer ) > fun_o_set_complex ).

tff(func_def_1379,type,
    aa_Cod1361678317519647154et_int: ( fun_Co2587678820519358153et_int * code_integer ) > fun_o_set_int ).

tff(func_def_1380,type,
    aa_Cod3851761462451373910et_nat: ( fun_Co7401227239307276909et_nat * code_integer ) > fun_o_set_nat ).

tff(func_def_1381,type,
    aa_Cod7471715548787160626t_real: ( fun_Co5368275265270938953t_real * code_integer ) > fun_o_set_real ).

tff(func_def_1382,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1383,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1384,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1385,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1386,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1387,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1388,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1389,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1390,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1391,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1392,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1393,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1394,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1395,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1396,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1397,type,
    aa_complex_fun_nat_o: ( fun_co5676208753217392844_nat_o * complex ) > fun_nat_o ).

tff(func_def_1398,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1399,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1400,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1401,type,
    aa_com1951324360330529881real_o: ( fun_co4998825143550818160real_o * complex ) > fun_real_o ).

tff(func_def_1402,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1403,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1404,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1405,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1406,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1407,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1408,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1409,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1410,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1411,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1412,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1413,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1414,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1415,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1416,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1417,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1418,type,
    aa_int_fun_nat_o: ( fun_int_fun_nat_o * int ) > fun_nat_o ).

tff(func_def_1419,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1420,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1421,type,
    aa_int_fun_real_o: ( fun_int_fun_real_o * int ) > fun_real_o ).

tff(func_def_1422,type,
    aa_lis557685189327716851_nat_o: ( fun_li1025265955262268170_nat_o * list_nat ) > fun_list_nat_o ).

tff(func_def_1423,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1424,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1425,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1426,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1427,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1428,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1429,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1430,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1431,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1432,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1433,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1434,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1435,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1436,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1437,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1438,type,
    aa_nat480766339200631653x_real: ( fun_na5723442673449079972x_real * nat ) > fun_complex_real ).

tff(func_def_1439,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1440,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1441,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1442,type,
    aa_nat_fun_int_real: ( fun_nat_fun_int_real * nat ) > fun_int_real ).

tff(func_def_1443,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1444,type,
    aa_nat_fun_list_o_o: ( fun_nat_fun_list_o_o * nat ) > fun_list_o_o ).

tff(func_def_1445,type,
    aa_nat5940423528545770789plex_o: ( fun_na2418085665696872764plex_o * nat ) > fun_list_complex_o ).

tff(func_def_1446,type,
    aa_nat3638697132715757351_int_o: ( fun_na7306406234920378942_int_o * nat ) > fun_list_int_o ).

tff(func_def_1447,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1448,type,
    aa_nat1274389614848952367VEBT_o: ( fun_na5873943405026509934VEBT_o * nat ) > fun_list_VEBT_VEBT_o ).

tff(func_def_1449,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1450,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1451,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1452,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1453,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1454,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1455,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1456,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1457,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1458,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1459,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1460,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1461,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1462,type,
    aa_nat9072979527818120146_num_o: ( fun_na8255220838387308393_num_o * nat ) > fun_nat_fun_num_o ).

tff(func_def_1463,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1464,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1465,type,
    aa_nat_fun_num_o: ( fun_nat_fun_num_o * nat ) > fun_num_o ).

tff(func_def_1466,type,
    aa_nat_fun_num_num: ( fun_nat_fun_num_num * nat ) > fun_num_num ).

tff(func_def_1467,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1468,type,
    aa_nat8983105546408692139et_nat: ( fun_na3896347130304379370et_nat * nat ) > fun_num_set_nat ).

tff(func_def_1469,type,
    aa_nat1437378620602899975t_real: ( fun_na3666575854997362246t_real * nat ) > fun_num_set_real ).

tff(func_def_1470,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1471,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1472,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1473,type,
    aa_nat_fun_rat_real: ( fun_nat_fun_rat_real * nat ) > fun_rat_real ).

tff(func_def_1474,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1475,type,
    aa_nat_fun_real_o: ( fun_nat_fun_real_o * nat ) > fun_real_o ).

tff(func_def_1476,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1477,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1478,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1479,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1480,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1481,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1482,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1483,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1484,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1485,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1486,type,
    aa_num_set_complex: ( fun_num_set_complex * num ) > set_complex ).

tff(func_def_1487,type,
    aa_num_set_int: ( fun_num_set_int * num ) > set_int ).

tff(func_def_1488,type,
    aa_num_set_nat: ( fun_num_set_nat * num ) > set_nat ).

tff(func_def_1489,type,
    aa_num_set_real: ( fun_num_set_real * num ) > set_real ).

tff(func_def_1490,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1491,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1492,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1493,type,
    aa_num241437687621652691omplex: ( fun_nu9041852840018610706omplex * num ) > fun_num_set_complex ).

tff(func_def_1494,type,
    aa_num3127423267984116305et_int: ( fun_nu4940571614878387344et_int * num ) > fun_num_set_int ).

tff(func_def_1495,type,
    aa_num5617506412915843061et_nat: ( fun_nu530747996811530292et_nat * num ) > fun_num_set_nat ).

tff(func_def_1496,type,
    aa_num2469771427700027217t_real: ( fun_nu4698968662094489488t_real * num ) > fun_num_set_real ).

tff(func_def_1497,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1498,type,
    aa_opt4319133605541840243_nat_o: ( fun_op5794009454290973322_nat_o * option_nat ) > fun_option_nat_o ).

tff(func_def_1499,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1500,type,
    aa_opt5077314168511351209_num_o: ( fun_op6120599277751319488_num_o * option_nat ) > fun_option_num_o ).

tff(func_def_1501,type,
    aa_opt120907569613471666_nat_o: ( fun_op3832135881594366065_nat_o * option_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1502,type,
    aa_opt7915830422195272873_nat_o: ( fun_op167334234089630144_nat_o * option_num ) > fun_option_nat_o ).

tff(func_def_1503,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_1504,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1505,type,
    aa_opt7110402928079307526_nat_o: ( fun_op7326680082016885773_nat_o * option4927543243414619207at_nat ) > fun_option_nat_o ).

tff(func_def_1506,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_1507,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1508,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1509,type,
    aa_Pro6799258434465214121nt_int: ( fun_Pr982841511892225912nt_int * product_prod_int_int ) > int ).

tff(func_def_1510,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1511,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1512,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1513,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1514,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1515,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1516,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1517,type,
    aa_Pro4218333719626769503_num_o: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > fun_Pr6331313853612757382_num_o ).

tff(func_def_1518,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1519,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1520,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1521,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1522,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1523,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1524,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1525,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1526,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1527,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1528,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1529,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1530,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1531,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1532,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1533,type,
    aa_rea2382570592068293209plex_o: ( fun_re7319081385389557872plex_o * real ) > fun_complex_o ).

tff(func_def_1534,type,
    aa_real_fun_int_o: ( fun_real_fun_int_o * real ) > fun_int_o ).

tff(func_def_1535,type,
    aa_real_fun_int_nat: ( fun_real_fun_int_nat * real ) > fun_int_nat ).

tff(func_def_1536,type,
    aa_real_fun_int_real: ( fun_re7457141977439324286t_real * real ) > fun_int_real ).

tff(func_def_1537,type,
    aa_real_fun_nat_o: ( fun_real_fun_nat_o * real ) > fun_nat_o ).

tff(func_def_1538,type,
    aa_rea1531280491672885477omplex: ( fun_re2084383175013312036omplex * real ) > fun_nat_complex ).

tff(func_def_1539,type,
    aa_real_fun_nat_int: ( fun_real_fun_nat_int * real ) > fun_nat_int ).

tff(func_def_1540,type,
    aa_real_fun_nat_nat: ( fun_real_fun_nat_nat * real ) > fun_nat_nat ).

tff(func_def_1541,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1542,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1543,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1544,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1545,type,
    aa_rea2649881322057434177omplex: ( fun_re7812779276277946752omplex * real ) > fun_real_complex ).

tff(func_def_1546,type,
    aa_real_fun_real_int: ( fun_re4938349377536830718al_int * real ) > fun_real_int ).

tff(func_def_1547,type,
    aa_real_fun_real_nat: ( fun_re7428432522468557474al_nat * real ) > fun_real_nat ).

tff(func_def_1548,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1549,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1550,type,
    aa_set1742385355640705825plex_o: ( fun_se9162176452187397432plex_o * set_complex ) > fun_complex_o ).

tff(func_def_1551,type,
    aa_set7743095458595710203omplex: ( fun_se7512233253626865466omplex * set_complex ) > fun_complex_complex ).

tff(func_def_1552,type,
    aa_set_int_fun_int_o: ( fun_se867122708194164540_int_o * set_int ) > fun_int_o ).

tff(func_def_1553,type,
    aa_set7310040872927613301nt_int: ( fun_se4827636401813558708nt_int * set_int ) > fun_int_int ).

tff(func_def_1554,type,
    aa_set6675653781276780861_nat_o: ( fun_se1865396762483378772_nat_o * set_list_nat ) > fun_list_nat_o ).

tff(func_def_1555,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1556,type,
    aa_set_nat_fun_nat_o: ( fun_se382663106265794036_nat_o * set_nat ) > fun_nat_o ).

tff(func_def_1557,type,
    aa_set6537093552120046177at_nat: ( fun_se1179353343636554400at_nat * set_nat ) > fun_nat_nat ).

tff(func_def_1558,type,
    aa_set1166323925324055613t_real: ( fun_se1654316830156123260t_real * set_nat ) > fun_nat_real ).

tff(func_def_1559,type,
    aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).

tff(func_def_1560,type,
    aa_set2323979645938365349real_o: ( fun_se2161501677553633980real_o * set_real ) > fun_real_o ).

tff(func_def_1561,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1562,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1563,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1564,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1565,type,
    aa_fun2514317545224092796plex_o: ( fun_fu1358370060594899587plex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_1566,type,
    aa_fun3681620399087435360omplex: ( fun_fu3719809307426920623omplex * fun_complex_o ) > fun_complex_complex ).

tff(func_def_1567,type,
    aa_fun8261057609414086622x_real: ( fun_fu3043978019632300333x_real * fun_complex_o ) > fun_complex_real ).

tff(func_def_1568,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1569,type,
    aa_fun573566726631320556plex_o: ( fun_fu2445682883699234307plex_o * fun_complex_complex ) > fun_complex_o ).

tff(func_def_1570,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1571,type,
    aa_fun6995112137416684571omplex: ( fun_fu8998703528969179354omplex * fun_complex_complex ) > fun_co7673397065115134084omplex ).

tff(func_def_1572,type,
    aa_fun1583801116089702097omplex: ( fun_fu8084223252616112272omplex * fun_complex_complex ) > fun_se7512233253626865466omplex ).

tff(func_def_1573,type,
    aa_fun4378733901284544684plex_o: ( fun_fu2142003765521078979plex_o * fun_complex_complex ) > fun_fu2445682883699234307plex_o ).

tff(func_def_1574,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1575,type,
    aa_fun6195079535267300846plex_o: ( fun_fu806425790188207109plex_o * fun_complex_real ) > fun_complex_o ).

tff(func_def_1576,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1577,type,
    aa_fun805843229300662576plex_o: ( fun_fu7523448966510524487plex_o * fun_complex_real ) > fun_fu806425790188207109plex_o ).

tff(func_def_1578,type,
    aa_fun3010802591474140851plex_o: ( fun_fu2079201134200759482plex_o * fun_co5676208753217392844_nat_o ) > fun_complex_o ).

tff(func_def_1579,type,
    aa_fun4501470310227681423plex_o: ( fun_fu8967550341600084630plex_o * fun_co4998825143550818160real_o ) > fun_complex_o ).

tff(func_def_1580,type,
    aa_fun6243517787477317628_int_o: ( fun_fu3883539188510166275_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_1581,type,
    aa_fun6439487526662521568omplex: ( fun_fu3558165918884697647omplex * fun_int_o ) > fun_int_complex ).

tff(func_def_1582,type,
    aa_fun7506669883404309598t_real: ( fun_fu7030473000426307245t_real * fun_int_o ) > fun_int_real ).

tff(func_def_1583,type,
    aa_fun4067268449253971343_nat_o: ( fun_fu6531550788665658134_nat_o * fun_int_o ) > fun_fu2874799657758024024_nat_o ).

tff(func_def_1584,type,
    aa_fun8106147379196233687real_o: ( fun_fu3317822389839199582real_o * fun_int_o ) > fun_fu1067021015399606944real_o ).

tff(func_def_1585,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1586,type,
    aa_fun5261878201068379632_int_o: ( fun_fu7994259084669964039_int_o * fun_int_complex ) > fun_int_o ).

tff(func_def_1587,type,
    aa_fun3088484340408535532omplex: ( fun_fu3613808716698379563omplex * fun_int_complex ) > fun_int_complex ).

tff(func_def_1588,type,
    aa_fun2392861216585087154_int_o: ( fun_fu3930813892005118153_int_o * fun_int_complex ) > fun_fu7994259084669964039_int_o ).

tff(func_def_1589,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1590,type,
    aa_fun5911324870756489105nt_int: ( fun_fu923337204662071120nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_1591,type,
    aa_fun8076508010538293575nt_int: ( fun_fu3739269683040691718nt_int * fun_int_int ) > fun_se4827636401813558708nt_int ).

tff(func_def_1592,type,
    aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_1593,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1594,type,
    aa_fun7246820503061074602_nat_o: ( fun_fu4050368934121317825_nat_o * fun_int_nat ) > fun_nat_o ).

tff(func_def_1595,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1596,type,
    aa_fun4444401208693448434_int_o: ( fun_fu4185471554550717449_int_o * fun_int_real ) > fun_int_o ).

tff(func_def_1597,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1598,type,
    aa_fun7191409318348945010real_o: ( fun_fu1268630300833693065real_o * fun_int_real ) > fun_real_o ).

tff(func_def_1599,type,
    aa_fun135101165924023862_int_o: ( fun_fu4228744305898656589_int_o * fun_int_real ) > fun_fu4185471554550717449_int_o ).

tff(func_def_1600,type,
    aa_fun7458983532533439539_int_o: ( fun_fu1329347338547691834_int_o * fun_int_fun_nat_o ) > fun_int_o ).

tff(func_def_1601,type,
    aa_fun8063507495001755407_int_o: ( fun_fu1494024730412365846_int_o * fun_int_fun_real_o ) > fun_int_o ).

tff(func_def_1602,type,
    aa_fun6155608546934989052_nat_o: ( fun_fu1994797156054922755_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_1603,type,
    aa_fun5937193402907943164_nat_o: ( fun_fu4001317426178549763_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1604,type,
    aa_fun1400689748890728928omplex: ( fun_fu4302481349826706223omplex * fun_nat_o ) > fun_nat_complex ).

tff(func_def_1605,type,
    aa_fun696632391729880074at_rat: ( fun_fu3162257917499486297at_rat * fun_nat_o ) > fun_nat_rat ).

tff(func_def_1606,type,
    aa_fun5510454223943551838t_real: ( fun_fu4002475321494201261t_real * fun_nat_o ) > fun_nat_real ).

tff(func_def_1607,type,
    aa_fun467192419720471251plex_o: ( fun_fu8433555683852769370plex_o * fun_nat_o ) > fun_fu9045617033751531768plex_o ).

tff(func_def_1608,type,
    aa_fun589549094943696343_int_o: ( fun_fu3088525211158153566_int_o * fun_nat_o ) > fun_fu2697289238337202172_int_o ).

tff(func_def_1609,type,
    aa_fun957765429596782223_nat_o: ( fun_fu2993764712125629974_nat_o * fun_nat_o ) > fun_fu3065505572990288052_nat_o ).

tff(func_def_1610,type,
    aa_fun8527292551407841495real_o: ( fun_fu7307196158820694110real_o * fun_nat_o ) > fun_fu2658902142918880764real_o ).

tff(func_def_1611,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1612,type,
    aa_fun2681562978987535434plex_o: ( fun_fu80362980471826017plex_o * fun_nat_complex ) > fun_complex_o ).

tff(func_def_1613,type,
    aa_fun3019658233935452328_nat_o: ( fun_fu6176141739774794687_nat_o * fun_nat_complex ) > fun_nat_o ).

tff(func_def_1614,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1615,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1616,type,
    aa_fun894001447060918982_nat_o: ( fun_fu6433034133342731997_nat_o * fun_nat_complex ) > fun_fu6176141739774794687_nat_o ).

tff(func_def_1617,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1618,type,
    aa_fun359159518738836302_int_o: ( fun_fu5961977364416097381_int_o * fun_nat_int ) > fun_int_o ).

tff(func_def_1619,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1620,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1621,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1622,type,
    aa_fun8673969331427483654_nat_o: ( fun_fu5477517762487726877_nat_o * fun_nat_nat ) > fun_nat_o ).

tff(func_def_1623,type,
    aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).

tff(func_def_1624,type,
    aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_1625,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1626,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1627,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1628,type,
    aa_fun4561837934398617467at_nat: ( fun_fu2454420574033104442at_nat * fun_nat_nat ) > fun_se1179353343636554400at_nat ).

tff(func_def_1629,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1630,type,
    aa_fun1118977351124560894_nat_o: ( fun_fu7145897819039579925_nat_o * fun_nat_rat ) > fun_nat_o ).

tff(func_def_1631,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1632,type,
    aa_fun8314661095172591474_nat_o: ( fun_fu1806770557662746761_nat_o * fun_nat_rat ) > fun_fu7145897819039579925_nat_o ).

tff(func_def_1633,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1634,type,
    aa_fun6456149469358400426_nat_o: ( fun_fu6621322437453427393_nat_o * fun_nat_real ) > fun_nat_o ).

tff(func_def_1635,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1636,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1637,type,
    aa_fun6953832176698369998real_o: ( fun_fu1031053159183118053real_o * fun_nat_real ) > fun_real_o ).

tff(func_def_1638,type,
    aa_fun1400677770452585267t_real: ( fun_fu3306995184869731826t_real * fun_nat_real ) > fun_se1654316830156123260t_real ).

tff(func_def_1639,type,
    aa_fun5464864432877286986_nat_o: ( fun_fu6813129056075673441_nat_o * fun_nat_real ) > fun_fu6621322437453427393_nat_o ).

tff(func_def_1640,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1641,type,
    aa_fun5746040925223427547t_real: ( fun_fu3477889739401271834t_real * fun_na5723442673449079972x_real ) > fun_nat_real ).

tff(func_def_1642,type,
    aa_fun3042179710660459407_nat_o: ( fun_fu6560018175767245462_nat_o * fun_nat_fun_int_o ) > fun_nat_o ).

tff(func_def_1643,type,
    aa_fun241848180832411225t_real: ( fun_fu4540635375566031512t_real * fun_nat_fun_int_real ) > fun_nat_real ).

tff(func_def_1644,type,
    aa_fun6854469565811772723_nat_o: ( fun_fu1148935994063782970_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_1645,type,
    aa_fun3751150903526668555_nat_o: ( fun_fu2571895429041709858_nat_o * fun_nat_fun_nat_nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1646,type,
    aa_fun7039663905532832253t_real: ( fun_fu2115079063411676732t_real * fun_nat_fun_nat_real ) > fun_nat_real ).

tff(func_def_1647,type,
    aa_fun2776124910339071917_num_o: ( fun_fu8148986511470497476_num_o * fun_nat_fun_num_num ) > fun_na8255220838387308393_num_o ).

tff(func_def_1648,type,
    aa_fun507281639146497029t_real: ( fun_fu4806068833880117316t_real * fun_nat_fun_rat_real ) > fun_nat_real ).

tff(func_def_1649,type,
    aa_fun1522457866930155023_nat_o: ( fun_fu4600449761433299222_nat_o * fun_nat_fun_real_o ) > fun_nat_o ).

tff(func_def_1650,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1651,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1652,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1653,type,
    aa_fun5868358341814070780real_o: ( fun_fu9050450510664235267real_o * fun_real_o ) > fun_real_o ).

tff(func_def_1654,type,
    aa_fun1098856492951973088omplex: ( fun_fu3532930458344041007omplex * fun_real_o ) > fun_real_complex ).

tff(func_def_1655,type,
    aa_fun2004904883527618314al_rat: ( fun_fu5551332503302594393al_rat * fun_real_o ) > fun_real_rat ).

tff(func_def_1656,type,
    aa_fun4448911596306054750l_real: ( fun_fu4478067837645853357l_real * fun_real_o ) > fun_real_real ).

tff(func_def_1657,type,
    aa_fun6537733294925973843plex_o: ( fun_fu8168279061277983450plex_o * fun_real_o ) > fun_fu6215981411654662428plex_o ).

tff(func_def_1658,type,
    aa_fun3728209879534177367_int_o: ( fun_fu3749727409370067934_int_o * fun_real_o ) > fun_fu1028241674549403680_int_o ).

tff(func_def_1659,type,
    aa_fun4096426214187263247_nat_o: ( fun_fu3654966910337544342_nat_o * fun_real_o ) > fun_fu1396458009202489560_nat_o ).

tff(func_def_1660,type,
    aa_fun8577581014811940695real_o: ( fun_fu8020951434679919326real_o * fun_real_o ) > fun_fu8737060993192706592real_o ).

tff(func_def_1661,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1662,type,
    aa_fun1011824800444484462plex_o: ( fun_fu4846543092220166533plex_o * fun_real_complex ) > fun_complex_o ).

tff(func_def_1663,type,
    aa_fun5218151893725926128real_o: ( fun_fu7444430165986413063real_o * fun_real_complex ) > fun_real_o ).

tff(func_def_1664,type,
    aa_fun2233226938935547116omplex: ( fun_fu8384527901749275179omplex * fun_real_complex ) > fun_real_complex ).

tff(func_def_1665,type,
    aa_fun1467772539989157170real_o: ( fun_fu9068519094125542729real_o * fun_real_complex ) > fun_fu7444430165986413063real_o ).

tff(func_def_1666,type,
    aa_fun3242049114608245362_int_o: ( fun_fu2983119460465514377_int_o * fun_real_int ) > fun_int_o ).

tff(func_def_1667,type,
    aa_fun2333486890442116906_nat_o: ( fun_fu2498659858537143873_nat_o * fun_real_nat ) > fun_nat_o ).

tff(func_def_1668,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1669,type,
    aa_fun3209485225100452678real_o: ( fun_fu6510078244439976541real_o * fun_real_rat ) > fun_real_o ).

tff(func_def_1670,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1671,type,
    aa_fun8459995508950063326real_o: ( fun_fu5587483295140630005real_o * fun_real_rat ) > fun_fu6510078244439976541real_o ).

tff(func_def_1672,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1673,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1674,type,
    aa_fun3693225987673163702real_o: ( fun_fu5533088652784741581real_o * fun_real_real ) > fun_fu3022329567491847689real_o ).

tff(func_def_1675,type,
    aa_fun3710474044975826703real_o: ( fun_fu8335073354567729686real_o * fun_real_fun_int_o ) > fun_real_o ).

tff(func_def_1676,type,
    aa_fun1484945577804563009_nat_o: ( fun_fu2874799657758024024_nat_o * fun_real_fun_int_nat ) > fun_nat_o ).

tff(func_def_1677,type,
    aa_fun2318301334355154825real_o: ( fun_fu1067021015399606944real_o * fun_re7457141977439324286t_real ) > fun_real_o ).

tff(func_def_1678,type,
    aa_fun8982401453414893235real_o: ( fun_fu4383628726152020410real_o * fun_real_fun_nat_o ) > fun_real_o ).

tff(func_def_1679,type,
    aa_fun2810168320254036705plex_o: ( fun_fu9045617033751531768plex_o * fun_re2084383175013312036omplex ) > fun_complex_o ).

tff(func_def_1680,type,
    aa_fun1731537780621499109_int_o: ( fun_fu2697289238337202172_int_o * fun_real_fun_nat_int ) > fun_int_o ).

tff(func_def_1681,type,
    aa_fun1675651493036827037_nat_o: ( fun_fu3065505572990288052_nat_o * fun_real_fun_nat_nat ) > fun_nat_o ).

tff(func_def_1682,type,
    aa_fun3910182461874428645real_o: ( fun_fu2658902142918880764real_o * fun_re4238438383274954274t_real ) > fun_real_o ).

tff(func_def_1683,type,
    aa_fun8588574755773516687real_o: ( fun_fu6074783352538106518real_o * fun_real_fun_real_o ) > fun_real_o ).

tff(func_def_1684,type,
    aa_fun890640625120065285plex_o: ( fun_fu6215981411654662428plex_o * fun_re7812779276277946752omplex ) > fun_complex_o ).

tff(func_def_1685,type,
    aa_fun6878201389861000969_int_o: ( fun_fu1028241674549403680_int_o * fun_re4938349377536830718al_int ) > fun_int_o ).

tff(func_def_1686,type,
    aa_fun6822315102276328897_nat_o: ( fun_fu1396458009202489560_nat_o * fun_re7428432522468557474al_nat ) > fun_nat_o ).

tff(func_def_1687,type,
    aa_fun6833002213068288777real_o: ( fun_fu8737060993192706592real_o * fun_re7681423839302404990l_real ) > fun_real_o ).

tff(func_def_1688,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1689,type,
    deg: nat ).

tff(func_def_1690,type,
    m: nat ).

tff(func_def_1691,type,
    ma: nat ).

tff(func_def_1692,type,
    maxy: nat ).

tff(func_def_1693,type,
    mi: nat ).

tff(func_def_1694,type,
    na: nat ).

tff(func_def_1695,type,
    pr: nat ).

tff(func_def_1696,type,
    res: nat ).

tff(func_def_1697,type,
    summary: vEBT_VEBT ).

tff(func_def_1698,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1699,type,
    xa: nat ).

tff(func_def_1700,type,
    za: nat ).

tff(func_def_1701,type,
    pr20: option_nat ).

tff(func_def_1702,type,
    l1: nat ).

tff(func_def_1703,type,
    h2: nat ).

tff(func_def_1704,type,
    minlow3: option_nat ).

tff(func_def_1705,type,
    pr24: option_nat ).

tff(func_def_1706,type,
    l5: nat ).

tff(func_def_1707,type,
    h6: nat ).

tff(func_def_1708,type,
    minlow7: option_nat ).

tff(func_def_1709,type,
    pr28: option_nat ).

tff(func_def_1710,type,
    m29: complex ).

tff(func_def_1711,type,
    m210: real ).

tff(func_def_1712,type,
    m211: rat ).

tff(func_def_1713,type,
    m212: nat ).

tff(func_def_1714,type,
    m213: int ).

tff(func_def_1715,type,
    w14: complex ).

tff(func_def_1716,type,
    w15: real ).

tff(func_def_1717,type,
    w16: rat ).

tff(func_def_1718,type,
    w17: nat ).

tff(func_def_1719,type,
    w18: int ).

tff(func_def_1720,type,
    pos19: nat ).

tff(func_def_1721,type,
    pos20: nat ).

tff(func_def_1722,type,
    pos21: nat ).

tff(func_def_1723,type,
    l22: nat ).

tff(func_def_1724,type,
    h23: nat ).

tff(func_def_1725,type,
    minlow24: option_nat ).

tff(func_def_1726,type,
    pr225: option_nat ).

tff(func_def_1727,type,
    h26: nat ).

tff(func_def_1728,type,
    pos27: nat ).

tff(func_def_1729,type,
    pos28: nat ).

tff(func_def_1730,type,
    l29: nat ).

tff(func_def_1731,type,
    h30: nat ).

tff(func_def_1732,type,
    minlow31: option_nat ).

tff(func_def_1733,type,
    pr232: option_nat ).

tff(func_def_1734,type,
    h33: nat ).

tff(func_def_1735,type,
    pos34: nat ).

tff(func_def_1736,type,
    pos35: nat ).

tff(func_def_1737,type,
    pos36: nat ).

tff(func_def_1738,type,
    h37: nat ).

tff(func_def_1739,type,
    h38: nat ).

tff(func_def_1740,type,
    pos39: nat ).

tff(func_def_1741,type,
    pos40: nat ).

tff(func_def_1742,type,
    pos41: nat ).

tff(func_def_1743,type,
    pos42: nat ).

tff(func_def_1744,type,
    l43: nat ).

tff(func_def_1745,type,
    h44: nat ).

tff(func_def_1746,type,
    minlow45: option_nat ).

tff(func_def_1747,type,
    pr246: option_nat ).

tff(func_def_1748,type,
    h47: nat ).

tff(func_def_1749,type,
    h48: nat ).

tff(func_def_1750,type,
    pos49: nat ).

tff(func_def_1751,type,
    pos50: nat ).

tff(func_def_1752,type,
    pos51: nat ).

tff(func_def_1753,type,
    h52: nat ).

tff(func_def_1754,type,
    pos53: nat ).

tff(func_def_1755,type,
    pos54: nat ).

tff(func_def_1756,type,
    pos55: nat ).

tff(func_def_1757,type,
    pos56: nat ).

tff(func_def_1758,type,
    pos57: nat ).

tff(func_def_1759,type,
    pos58: nat ).

tff(func_def_1760,type,
    xn59: nat ).

tff(func_def_1761,type,
    h60: nat ).

tff(func_def_1762,type,
    xn61: nat ).

tff(func_def_1763,type,
    h62: nat ).

tff(func_def_1764,type,
    xn63: nat ).

tff(func_def_1765,type,
    h64: nat ).

tff(func_def_1766,type,
    half65: nat ).

tff(func_def_1767,type,
    half66: nat ).

tff(func_def_1768,type,
    half67: nat ).

tff(func_def_1769,type,
    half68: nat ).

tff(func_def_1770,type,
    half69: nat ).

tff(func_def_1771,type,
    half70: nat ).

tff(func_def_1772,type,
    m271: complex ).

tff(func_def_1773,type,
    m272: real ).

tff(func_def_1774,type,
    m273: rat ).

tff(func_def_1775,type,
    m274: nat ).

tff(func_def_1776,type,
    m275: int ).

tff(func_def_1777,type,
    w76: complex ).

tff(func_def_1778,type,
    w77: real ).

tff(func_def_1779,type,
    w78: rat ).

tff(func_def_1780,type,
    w79: nat ).

tff(func_def_1781,type,
    w80: int ).

tff(func_def_1782,type,
    l81: real ).

tff(func_def_1783,type,
    l82: int ).

tff(func_def_1784,type,
    l83: complex ).

tff(func_def_1785,type,
    l84: rat ).

tff(func_def_1786,type,
    l85: code_integer ).

tff(func_def_1787,type,
    d86: int ).

tff(func_def_1788,type,
    l87: code_integer ).

tff(func_def_1789,type,
    k88: code_integer ).

tff(func_def_1790,type,
    k89: code_integer ).

tff(func_def_1791,type,
    a90: int ).

tff(func_def_1792,type,
    a91: int ).

tff(func_def_1793,type,
    n92: nat ).

tff(func_def_1794,type,
    m293: nat ).

tff(func_def_1795,type,
    n94: nat ).

tff(func_def_1796,type,
    m295: nat ).

tff(func_def_1797,type,
    n96: nat ).

tff(func_def_1798,type,
    m297: nat ).

tff(func_def_1799,type,
    n98: nat ).

tff(func_def_1800,type,
    m299: nat ).

tff(func_def_1801,type,
    n100: nat ).

tff(func_def_1802,type,
    m2101: nat ).

tff(func_def_1803,type,
    n102: nat ).

tff(func_def_1804,type,
    m2103: nat ).

tff(func_def_1805,type,
    n104: nat ).

tff(func_def_1806,type,
    m2105: nat ).

tff(func_def_1807,type,
    l2106: int ).

tff(func_def_1808,type,
    m3107: complex ).

tff(func_def_1809,type,
    m3108: real ).

tff(func_def_1810,type,
    m3109: rat ).

tff(func_def_1811,type,
    m3110: nat ).

tff(func_def_1812,type,
    m3111: int ).

tff(func_def_1813,type,
    l2112: num ).

tff(func_def_1814,type,
    l3113: num ).

tff(func_def_1815,type,
    l2114: nat ).

tff(func_def_1816,type,
    l3115: nat ).

tff(func_def_1819,type,
    sK116: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1820,type,
    sK117: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_1821,type,
    sK118: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1822,type,
    sK119: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1823,type,
    sK120: ( fun_nat_o * nat * nat ) > 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_o * filter_nat ) > $o ).

tff(pred_def_6,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_7,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_8,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_9,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_10,type,
    finite_finite_o: set_o > $o ).

tff(pred_def_11,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_12,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_13,type,
    finite_finite_list_o: set_list_o > $o ).

tff(pred_def_14,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_15,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_16,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_17,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_18,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_19,type,
    finite_finite_num: set_num > $o ).

tff(pred_def_20,type,
    finite_finite_rat: set_rat > $o ).

tff(pred_def_21,type,
    finite_finite_real: set_real > $o ).

tff(pred_def_22,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_23,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_24,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_25,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_26,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_27,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_28,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat * set_nat ) > $o ).

tff(pred_def_29,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_30,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_31,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_32,type,
    ord_less_set_complex: ( set_complex * set_complex ) > $o ).

tff(pred_def_33,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_34,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_35,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_36,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_37,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_38,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_39,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_40,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_41,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_42,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_43,type,
    ord_le211207098394363844omplex: ( set_complex * set_complex ) > $o ).

tff(pred_def_44,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_45,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_46,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_47,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_48,type,
    ord_le8980329558974975238eger_o: ( set_Pr448751882837621926eger_o * set_Pr448751882837621926eger_o ) > $o ).

tff(pred_def_49,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_50,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_51,type,
    ord_le8085105155179020875at_num: ( set_Pr6200539531224447659at_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_52,type,
    ord_le880128212290418581um_num: ( set_Pr8218934625190621173um_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_53,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_54,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_55,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_56,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_57,type,
    ord_le2909477399203599485un_o_o: ( fun_Co480733329897759773un_o_o * fun_Co480733329897759773un_o_o ) > $o ).

tff(pred_def_58,type,
    ord_le7644322562001619171plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_59,type,
    ord_le5418975059635765733_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_60,type,
    ord_le77980682512674322_int_o: ( fun_int_fun_int_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_61,type,
    ord_le4972187363741583025_nat_o: ( fun_list_nat_o * fun_list_nat_o ) > $o ).

tff(pred_def_62,type,
    ord_le4470944457981725354_nat_o: ( fun_li1025265955262268170_nat_o * fun_li1025265955262268170_nat_o ) > $o ).

tff(pred_def_63,type,
    ord_le7240017405068453697_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_64,type,
    ord_le768339454706049738_nat_o: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_65,type,
    ord_le1526520017675560704_num_o: ( fun_nat_fun_num_o * fun_nat_fun_num_o ) > $o ).

tff(pred_def_66,type,
    ord_le3306795289226699318_num_o: ( fun_num_fun_num_o * fun_num_fun_num_o ) > $o ).

tff(pred_def_67,type,
    ord_le14110778710936002_int_o: ( fun_Pr3238374608701176162_int_o * fun_Pr3238374608701176162_int_o ) > $o ).

tff(pred_def_68,type,
    ord_le1416746762259324110_int_o: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > $o ).

tff(pred_def_69,type,
    ord_le3650406611588909774_nat_o: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > $o ).

tff(pred_def_70,type,
    ord_le3107050023622517222_num_o: ( fun_Pr6331313853612757382_num_o * fun_Pr6331313853612757382_num_o ) > $o ).

tff(pred_def_71,type,
    ord_le6421466325430216142_num_o: ( fun_Pr4799464687642144302_num_o * fun_Pr4799464687642144302_num_o ) > $o ).

tff(pred_def_72,type,
    ord_le3605727316730466277real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_73,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_74,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_75,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_77,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_78,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_79,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_80,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_81,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_82,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_83,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_84,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_85,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_86,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_87,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_88,type,
    topolo3100542954746470799et_int: fun_nat_set_int > $o ).

tff(pred_def_89,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_90,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_91,type,
    accp_P4694664897847628410at_nat: ( fun_Pr8463018485500633518_nat_o * produc9217583074051984497at_nat ) > $o ).

tff(pred_def_92,type,
    accp_P5526603486790338531on_nat: ( fun_Pr1283576600272279410_nat_o * produc7004362771917097900on_nat ) > $o ).

tff(pred_def_93,type,
    accp_P3591886921626383704at_num: ( fun_Pr7588637180273442094_num_o * produc8114805097830739791at_num ) > $o ).

tff(pred_def_94,type,
    accp_P1225658569124232473on_num: ( fun_Pr4822914654802553862_num_o * produc2703417854250991842on_num ) > $o ).

tff(pred_def_95,type,
    accp_P4760198183577772864at_nat: ( fun_Pr4779616527126863150_nat_o * produc1260151622200656695at_nat ) > $o ).

tff(pred_def_96,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_97,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_98,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_99,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_100,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_101,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_102,type,
    aa_list_complex_o: ( fun_list_complex_o * list_complex ) > $o ).

tff(pred_def_103,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_104,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_105,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_106,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_107,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_108,type,
    aa_option_nat_o: ( fun_option_nat_o * option_nat ) > $o ).

tff(pred_def_109,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_110,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_111,type,
    aa_Pro5286387174248033258er_o_o: ( fun_Pr3290071492984375169er_o_o * produc6271795597528267376eger_o ) > $o ).

tff(pred_def_112,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_113,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_114,type,
    aa_Pro6908818167415475913_num_o: ( fun_Pr5555124106300582480_num_o * product_prod_nat_num ) > $o ).

tff(pred_def_115,type,
    aa_Pro7685007914727650815_num_o: ( fun_Pr6331313853612757382_num_o * product_prod_num_num ) > $o ).

tff(pred_def_116,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_117,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_118,type,
    aa_set_complex_o: ( fun_set_complex_o * set_complex ) > $o ).

tff(pred_def_119,type,
    aa_set_int_o: ( fun_set_int_o * set_int ) > $o ).

tff(pred_def_120,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_121,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_122,type,
    aa_fun8408151826566693824at_o_o: ( fun_fu6891447142836604759at_o_o * fun_Pr4796943543331071514_nat_o ) > $o ).

tff(pred_def_123,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_124,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_125,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_126,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_127,type,
    member_list_o: ( list_o * set_list_o ) > $o ).

tff(pred_def_128,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_129,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_130,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_131,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_132,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_133,type,
    member1379723562493234055eger_o: ( produc6271795597528267376eger_o * set_Pr448751882837621926eger_o ) > $o ).

tff(pred_def_134,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_135,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_136,type,
    member9148766508732265716at_num: ( product_prod_nat_num * set_Pr6200539531224447659at_num ) > $o ).

tff(pred_def_137,type,
    member7279096912039735102um_num: ( product_prod_num_num * set_Pr8218934625190621173um_num ) > $o ).

tff(pred_def_138,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_139,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_140,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_141,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_142,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_143,type,
    sP121: $o > $o ).

tff(pred_def_144,type,
    sP122: $o > $o ).

tff(f3,axiom,
    aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_abe) ).

tff(f10813,conjecture,
    aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10814,negated_conjecture,
    ~ aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(negated_conjecture,[status(cth)],[f10813]) ).

tff(f10815,plain,
    ~ aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(flattening,[],[f10814]) ).

tff(f10873,plain,
    ~ aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f10815]) ).

tff(f11024,plain,
    aa_nat_o(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),
    inference(cnf_transformation,[],[f3]) ).

tff(f11074,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f10873,f11024]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP239_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  % Computer : n009.cluster.edu
% 0.11/0.41  % Model    : x86_64 x86_64
% 0.11/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41  % Memory   : 8046.5625MB
% 0.11/0.41  % OS       : Linux 6.8.0-71-generic
% 0.11/0.41  % CPULimit : 300
% 0.11/0.41  % WCLimit  : 300
% 0.11/0.41  % DateTime : Sun Sep 27 12:32:45 UTC 2026
% 0.11/0.41  % CPUTime  : 
% 0.11/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 14.28/3.59  % (1971968)Detected formulas, will run a generic FOF schedule.
% 14.28/3.59  % (1971975)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=961785089:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.28/3.59  % (1971974)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=217325821:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.28/3.59  % (1971978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2264133274:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.28/3.59  % (1971973)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=3405675947:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.28/3.59  % (1971976)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3795520736:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.28/3.59  % (1971979)dis-21_1_sil=8000:lcm=predicate:random_seed=2567020832:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.28/3.59  % (1971977)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=916435404:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.28/3.59  % (1971978)Instruction limit reached! 
% 14.28/3.59  % (1971978)------------------------------
% 14.28/3.59  % (1971978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.28/3.59  % (1971978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/3.59  % (1971978)CaDiCaL version: 2.1.3
% 14.28/3.59  % (1971978)Termination reason: Instruction limit
% 14.28/3.59  % (1971978)Termination phase: Property scanning
% 14.28/3.59  % (1971978)Time elapsed: 0.056 s
% 14.28/3.59  % (1971978)Peak memory usage: 95 MB
% 14.28/3.59  % (1971978)Instructions burned: 141 (million)
% 14.28/3.59  % (1971976)Instruction limit reached! 
% 14.28/3.59  % (1971976)------------------------------
% 14.28/3.59  % (1971976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.28/3.59  % (1971976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/3.59  % (1971976)CaDiCaL version: 2.1.3
% 14.28/3.59  % (1971976)Termination reason: Instruction limit
% 14.28/3.59  % (1971976)Termination phase: Property scanning
% 14.28/3.59  % (1971976)Time elapsed: 0.059 s
% 14.28/3.59  % (1971976)Peak memory usage: 98 MB
% 14.28/3.59  % (1971976)Instructions burned: 109 (million)
% 14.28/3.59  % (1971977)Instruction limit reached! 
% 14.28/3.59  % (1971977)------------------------------
% 14.28/3.59  % (1971977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.28/3.59  % (1971977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/3.59  % (1971977)CaDiCaL version: 2.1.3
% 14.28/3.59  % (1971977)Termination reason: Instruction limit
% 14.28/3.59  % (1971977)Termination phase: Property scanning
% 14.28/3.59  % (1971977)Time elapsed: 0.063 s
% 14.28/3.59  % (1971977)Peak memory usage: 98 MB
% 14.28/3.59  % (1971977)Instructions burned: 120 (million)
% 14.28/3.59  % (1971979)Instruction limit reached! 
% 14.28/3.59  % (1971979)------------------------------
% 14.28/3.59  % (1971979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.28/3.59  % (1971979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/3.59  % (1971979)CaDiCaL version: 2.1.3
% 14.28/3.59  % (1971979)Termination reason: Instruction limit
% 14.28/3.59  % (1971979)Termination phase: Property scanning
% 14.28/3.59  % (1971979)Time elapsed: 0.066 s
% 14.28/3.59  % (1971979)Peak memory usage: 98 MB
% 14.28/3.59  % (1971979)Instructions burned: 129 (million)
% 14.28/3.59  % (1971990)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=1772155098:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 14.28/3.59  % (1971989)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3879007781:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.28/3.59  % (1971988)lrs+10_1_sil=32000:urr=on:br=off:random_seed=771526171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.28/3.59  % (1971987)lrs+10_1_sil=8000:sp=occurrence:random_seed=1154591599:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 14.28/3.59  % (1971988)Instruction limit reached! 
% 19.19/4.27  % (1971988)------------------------------
% 19.19/4.27  % (1971988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971988)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971988)Termination reason: Instruction limit
% 19.19/4.27  % (1971988)Termination phase: Property scanning
% 19.19/4.27  % (1971988)Time elapsed: 0.062 s
% 19.19/4.27  % (1971988)Peak memory usage: 95 MB
% 19.19/4.27  % (1971988)Instructions burned: 159 (million)
% 19.19/4.27  % (1971990)Instruction limit reached! 
% 19.19/4.27  % (1971990)------------------------------
% 19.19/4.27  % (1971990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971990)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971990)Termination reason: Instruction limit
% 19.19/4.27  % (1971990)Termination phase: Initialization
% 19.19/4.27  % (1971990)Time elapsed: 0.109 s
% 19.19/4.27  % (1971990)Peak memory usage: 98 MB
% 19.19/4.27  % (1971990)Instructions burned: 249 (million)
% 19.19/4.27  % (1971987)Instruction limit reached! 
% 19.19/4.27  % (1971987)------------------------------
% 19.19/4.27  % (1971987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971987)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971987)Termination reason: Instruction limit
% 19.19/4.27  % (1971987)Termination phase: SInE selection
% 19.19/4.27  % (1971987)Time elapsed: 0.131 s
% 19.19/4.27  % (1971987)Peak memory usage: 98 MB
% 19.19/4.27  % (1971987)Instructions burned: 286 (million)
% 19.19/4.27  % (1971989)Instruction limit reached! 
% 19.19/4.27  % (1971989)------------------------------
% 19.19/4.27  % (1971989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971989)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971989)Termination reason: Instruction limit
% 19.19/4.27  % (1971989)Termination phase: SInE selection
% 19.19/4.27  % (1971989)Time elapsed: 0.160 s
% 19.19/4.27  % (1971989)Peak memory usage: 98 MB
% 19.19/4.27  % (1971989)Instructions burned: 326 (million)
% 19.19/4.27  % (1971995)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1086324417:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 19.19/4.27  % (1971996)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=810359423:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 19.19/4.27  % (1971997)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1585255700:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 19.19/4.27  % (1971998)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2246856459:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 19.19/4.27  % (1971997)Instruction limit reached! 
% 19.19/4.27  % (1971997)------------------------------
% 19.19/4.27  % (1971997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971997)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971997)Termination reason: Instruction limit
% 19.19/4.27  % (1971997)Termination phase: Property scanning
% 19.19/4.27  % (1971997)Time elapsed: 0.061 s
% 19.19/4.27  % (1971997)Peak memory usage: 98 MB
% 19.19/4.27  % (1971997)Instructions burned: 113 (million)
% 19.19/4.27  % (1971995)Instruction limit reached! 
% 19.19/4.27  % (1971995)------------------------------
% 19.19/4.27  % (1971995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971995)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971995)Termination reason: Instruction limit
% 19.19/4.27  % (1971995)Termination phase: SInE selection
% 19.19/4.27  % (1971995)Time elapsed: 0.137 s
% 19.19/4.27  % (1971995)Peak memory usage: 99 MB
% 19.19/4.27  % (1971995)Instructions burned: 295 (million)
% 19.19/4.27  % (1971998)Instruction limit reached! 
% 19.19/4.27  % (1971998)------------------------------
% 19.19/4.27  % (1971998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971998)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971998)Termination reason: Instruction limit
% 19.19/4.27  % (1971998)Termination phase: Property scanning
% 19.19/4.27  % (1971998)Time elapsed: 0.067 s
% 19.19/4.27  % (1971998)Peak memory usage: 98 MB
% 19.19/4.27  % (1971998)Instructions burned: 129 (million)
% 19.19/4.27  % (1972003)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=10539040:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 19.19/4.27  % (1972004)lrs+10_1_sil=8000:sp=occurrence:random_seed=2518799712:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 19.19/4.27  % (1972003)Instruction limit reached! 
% 19.19/4.27  % (1972003)------------------------------
% 19.19/4.27  % (1972003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972003)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972003)Termination reason: Instruction limit
% 19.19/4.27  % (1972003)Termination phase: Property scanning
% 19.19/4.27  % (1972003)Time elapsed: 0.046 s
% 19.19/4.27  % (1972003)Peak memory usage: 95 MB
% 19.19/4.27  % (1972003)Instructions burned: 114 (million)
% 19.19/4.27  % (1972005)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3247367551:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 19.19/4.27  % (1972009)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3665917987:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 19.19/4.27  % (1972005)Instruction limit reached! 
% 19.19/4.27  % (1972005)------------------------------
% 19.19/4.27  % (1972005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972005)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972005)Termination reason: Instruction limit
% 19.19/4.27  % (1972005)Termination phase: Preprocessing 2
% 19.19/4.27  % (1972005)Time elapsed: 0.241 s
% 19.19/4.27  % (1972005)Peak memory usage: 103 MB
% 19.19/4.27  % (1972005)Instructions burned: 437 (million)
% 19.19/4.27  % (1972011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2905994572:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 19.19/4.27  % (1972004)Instruction limit reached! 
% 19.19/4.27  % (1972004)------------------------------
% 19.19/4.27  % (1972004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972004)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972004)Termination reason: Instruction limit
% 19.19/4.27  % (1972004)Termination phase: Saturation
% 19.19/4.27  % (1972004)Time elapsed: 0.459 s
% 19.19/4.27  % (1972004)Peak memory usage: 108 MB
% 19.19/4.27  % (1972004)Instructions burned: 908 (million)
% 19.19/4.27  % (1972011)Instruction limit reached! 
% 19.19/4.27  % (1972011)------------------------------
% 19.19/4.27  % (1972011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972011)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972011)Termination reason: Instruction limit
% 19.19/4.27  % (1972011)Termination phase: Preprocessing 2
% 19.19/4.27  % (1972011)Time elapsed: 0.101 s
% 19.19/4.27  % (1972011)Peak memory usage: 97 MB
% 19.19/4.27  % (1972011)Instructions burned: 135 (million)
% 19.19/4.27  % (1972013)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1654668285:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 19.19/4.27  % (1972014)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3618322439:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 19.19/4.27  % (1972013)Instruction limit reached! 
% 19.19/4.27  % (1972013)------------------------------
% 19.19/4.27  % (1972013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972013)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972013)Termination reason: Instruction limit
% 19.19/4.27  % (1972013)Termination phase: Clausification
% 19.19/4.27  % (1972013)Time elapsed: 0.349 s
% 19.19/4.27  % (1972013)Peak memory usage: 108 MB
% 19.19/4.27  % (1972013)Instructions burned: 593 (million)
% 19.19/4.27  % (1971996)Instruction limit reached! 
% 19.19/4.27  % (1971996)------------------------------
% 19.19/4.27  % (1971996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1971996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1971996)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1971996)Termination reason: Instruction limit
% 19.19/4.27  % (1971996)Termination phase: Saturation
% 19.19/4.27  % (1971996)Time elapsed: 1.371 s
% 19.19/4.27  % (1971996)Peak memory usage: 189 MB
% 19.19/4.27  % (1971996)Instructions burned: 2351 (million)
% 19.19/4.27  % (1972017)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=4194003940:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 19.19/4.27  % (1972017)Instruction limit reached! 
% 19.19/4.27  % (1972017)------------------------------
% 19.19/4.27  % (1972017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972017)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972017)Termination reason: Instruction limit
% 19.19/4.27  % (1972017)Termination phase: Property scanning
% 19.19/4.27  % (1972017)Time elapsed: 0.051 s
% 19.19/4.27  % (1972017)Peak memory usage: 95 MB
% 19.19/4.27  % (1972017)Instructions burned: 125 (million)
% 19.19/4.27  % (1972018)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=828049416:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 19.19/4.27  % (1972018)Instruction limit reached! 
% 19.19/4.27  % (1972018)------------------------------
% 19.19/4.27  % (1972018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/4.27  % (1972018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/4.27  % (1972018)CaDiCaL version: 2.1.3
% 19.19/4.27  % (1972018)Termination reason: Instruction limit
% 19.19/4.27  % (1972018)Termination phase: Property scanning
% 19.19/4.27  % (1972018)Time elapsed: 0.055 s
% 19.19/4.27  % (1972018)Peak memory usage: 95 MB
% 19.19/4.27  % (1972018)Instructions burned: 136 (million)
% 19.19/4.27  % (1972020)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4096917626:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 19.19/4.27  % (1972020)First to succeed.
% 19.19/4.27  % (1972020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1971968"
% 19.19/4.27  % (1972022)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3433314191:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 19.19/4.27  % (1972020)Refutation found. Thanks to Tanya!
% 19.19/4.27  % SZS status Theorem for theBenchmark
% 19.19/4.27  % SZS output start Proof for theBenchmark
% See solution above
% 20.09/4.47  % (1972020)------------------------------
% 20.09/4.47  % (1972020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/4.47  % (1972020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/4.47  % (1972020)CaDiCaL version: 2.1.3
% 20.09/4.47  % (1972020)Termination reason: Refutation
% 20.09/4.47  % (1972020)Time elapsed: 0.071 s
% 20.09/4.47  % (1972020)Peak memory usage: 100 MB
% 20.09/4.47  % (1972020)Instructions burned: 100 (million)
% 20.09/4.47  % (1972020)------------------------------
% 20.09/4.47  % (1972020)------------------------------
% 20.09/4.47  % (1971968)Success in time 3.364 s
% 20.09/4.47  % Vampire exiting
%------------------------------------------------------------------------------