Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM925_4 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 12:17:34 PM UTC 2026

% Result   : Theorem 3.23s 1.14s
% Output   : Refutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   43 (  42 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  16   ~;   9   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  525 ( 524 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    : 1148 (1148 usr; 438 con; 0-8 aty)
%            Number of variables   :   18 (  18   !;   0   ?;  18   :)

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_17,type,
    fun_Co536835517umeral: $tType ).

tff(type_def_18,type,
    fun_Co1584449344l_bool: $tType ).

tff(type_def_19,type,
    fun_Co116562173al_nat: $tType ).

tff(type_def_20,type,
    fun_Co1323339824umeral: $tType ).

tff(type_def_21,type,
    fun_Co1372573603l_bool: $tType ).

tff(type_def_22,type,
    fun_Co1101317613umeral: $tType ).

tff(type_def_23,type,
    fun_Co1868595440umeral: $tType ).

tff(type_def_24,type,
    fun_Co991465098umeral: $tType ).

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

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

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

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

tff(type_def_29,type,
    fun_co822197010omplex: $tType ).

tff(type_def_30,type,
    fun_co2094889951x_bool: $tType ).

tff(type_def_31,type,
    fun_co777804144omplex: $tType ).

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

tff(type_def_33,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_34,type,
    fun_bo1947501544nt_int: $tType ).

tff(type_def_35,type,
    fun_bo1071572548at_nat: $tType ).

tff(type_def_36,type,
    fun_bo1998411783l_real: $tType ).

tff(type_def_37,type,
    fun_bo1552468991nt_int: $tType ).

tff(type_def_38,type,
    fun_bo1189210245l_real: $tType ).

tff(type_def_39,type,
    fun_in1022115617umeral: $tType ).

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

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

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

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

tff(type_def_44,type,
    fun_in1505040589de_int: $tType ).

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

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

tff(type_def_47,type,
    fun_in531499254l_bool: $tType ).

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

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

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

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

tff(type_def_52,type,
    fun_in397122125l_bool: $tType ).

tff(type_def_53,type,
    fun_in351380826t_bool: $tType ).

tff(type_def_54,type,
    fun_in865885604nt_int: $tType ).

tff(type_def_55,type,
    fun_in2124216673nt_int: $tType ).

tff(type_def_56,type,
    fun_in1111845413nt_int: $tType ).

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

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

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

tff(type_def_60,type,
    fun_in1678813097l_bool: $tType ).

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

tff(type_def_62,type,
    fun_in1251377736l_bool: $tType ).

tff(type_def_63,type,
    fun_in7315610l_real: $tType ).

tff(type_def_64,type,
    fun_in938817141l_bool: $tType ).

tff(type_def_65,type,
    fun_in719570932t_bool: $tType ).

tff(type_def_66,type,
    fun_in67169585t_bool: $tType ).

tff(type_def_67,type,
    fun_in1797533524nt_int: $tType ).

tff(type_def_68,type,
    fun_in2078400507nt_int: $tType ).

tff(type_def_69,type,
    fun_in1390825880t_real: $tType ).

tff(type_def_70,type,
    fun_in792564872nt_int: $tType ).

tff(type_def_71,type,
    fun_in319042876t_bool: $tType ).

tff(type_def_72,type,
    fun_in464278240t_real: $tType ).

tff(type_def_73,type,
    fun_in1698189120t_bool: $tType ).

tff(type_def_74,type,
    fun_in1211676399nt_int: $tType ).

tff(type_def_75,type,
    fun_in941977532nt_int: $tType ).

tff(type_def_76,type,
    fun_in989261322nt_int: $tType ).

tff(type_def_77,type,
    fun_in1560792517nt_int: $tType ).

tff(type_def_78,type,
    fun_in2003698982nt_int: $tType ).

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

tff(type_def_80,type,
    fun_na1360402045umeral: $tType ).

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

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

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

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

tff(type_def_85,type,
    fun_na295310377de_int: $tType ).

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

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

tff(type_def_88,type,
    fun_na1469252690l_bool: $tType ).

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

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

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

tff(type_def_92,type,
    fun_na257798253at_nat: $tType ).

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

tff(type_def_94,type,
    fun_na1566252557omplex: $tType ).

tff(type_def_95,type,
    fun_na182379510l_real: $tType ).

tff(type_def_96,type,
    fun_na768876520l_real: $tType ).

tff(type_def_97,type,
    fun_na1436237685l_bool: $tType ).

tff(type_def_98,type,
    fun_na196172234at_nat: $tType ).

tff(type_def_99,type,
    fun_na1745536976l_real: $tType ).

tff(type_def_100,type,
    fun_Qu817627884t_bool: $tType ).

tff(type_def_101,type,
    fun_Qu812286141de_int: $tType ).

tff(type_def_102,type,
    fun_Qu1439435760de_int: $tType ).

tff(type_def_103,type,
    fun_Qu1069098747t_bool: $tType ).

tff(type_def_104,type,
    fun_Qu64793220de_int: $tType ).

tff(type_def_105,type,
    fun_Qu1353705541de_int: $tType ).

tff(type_def_106,type,
    fun_Qu78318390de_int: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_116,type,
    fun_re1114994977l_bool: $tType ).

tff(type_def_117,type,
    fun_re546217968t_bool: $tType ).

tff(type_def_118,type,
    fun_re386138607t_bool: $tType ).

tff(type_def_119,type,
    fun_re1598305103l_bool: $tType ).

tff(type_def_120,type,
    fun_re2063775123t_bool: $tType ).

tff(type_def_121,type,
    fun_re1564496555l_bool: $tType ).

tff(type_def_122,type,
    fun_re1979725814t_bool: $tType ).

tff(type_def_123,type,
    fun_re506364222t_bool: $tType ).

tff(type_def_124,type,
    fun_re1927296998t_real: $tType ).

tff(type_def_125,type,
    fun_re1191071736l_real: $tType ).

tff(type_def_126,type,
    fun_re398676606omplex: $tType ).

tff(type_def_127,type,
    fun_re413263731l_bool: $tType ).

tff(type_def_128,type,
    fun_re229243589l_real: $tType ).

tff(type_def_129,type,
    fun_re1227808089l_real: $tType ).

tff(type_def_130,type,
    fun_re665330775l_real: $tType ).

tff(type_def_131,type,
    fun_re69907033l_real: $tType ).

tff(type_def_132,type,
    fun_re10870101l_real: $tType ).

tff(type_def_133,type,
    fun_re1550493891l_real: $tType ).

tff(type_def_134,type,
    fun_re1058169246t_bool: $tType ).

tff(type_def_135,type,
    fun_re1171866993t_bool: $tType ).

tff(type_def_136,type,
    fun_re521366895t_bool: $tType ).

tff(type_def_137,type,
    fun_re811280567t_bool: $tType ).

tff(type_def_138,type,
    fun_re1879328022l_real: $tType ).

tff(type_def_139,type,
    fun_re507499238t_bool: $tType ).

tff(type_def_140,type,
    fun_re573205052t_real: $tType ).

tff(type_def_141,type,
    fun_re1091407545t_bool: $tType ).

tff(type_def_142,type,
    fun_re1865242107l_bool: $tType ).

tff(type_def_143,type,
    fun_re955532029l_real: $tType ).

tff(type_def_144,type,
    fun_re1414183599l_real: $tType ).

tff(type_def_145,type,
    fun_re1233422975l_real: $tType ).

tff(type_def_146,type,
    fun_re1761459671l_real: $tType ).

tff(type_def_147,type,
    fun_re923322561l_real: $tType ).

tff(type_def_148,type,
    fun_re785671361l_real: $tType ).

tff(type_def_149,type,
    fun_fu1232717117omplex: $tType ).

tff(type_def_150,type,
    fun_fu1596546331t_real: $tType ).

tff(type_def_151,type,
    fun_fu1909738875t_bool: $tType ).

tff(type_def_152,type,
    fun_fu1509210819t_bool: $tType ).

tff(type_def_153,type,
    fun_fu201758811t_bool: $tType ).

tff(type_def_154,type,
    fun_fu531009635l_bool: $tType ).

tff(type_def_155,type,
    fun_fu1849968923l_bool: $tType ).

tff(type_def_156,type,
    fun_fu124570627l_bool: $tType ).

tff(type_def_157,type,
    fun_fu790805891l_bool: $tType ).

tff(type_def_158,type,
    fun_fu1646085827l_real: $tType ).

tff(type_def_159,type,
    fun_fu143300987nt_int: $tType ).

tff(type_def_160,type,
    fun_fu117737819l_real: $tType ).

tff(type_def_161,type,
    fun_fu819804446l_bool: $tType ).

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

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

tff(type_def_164,type,
    fun_fu554825757t_bool: $tType ).

tff(type_def_165,type,
    fun_fu610077323l_bool: $tType ).

tff(type_def_166,type,
    fun_fu380257692t_bool: $tType ).

tff(type_def_167,type,
    fun_fu1074651901nt_int: $tType ).

tff(type_def_168,type,
    fun_fu1107106820t_bool: $tType ).

tff(type_def_169,type,
    fun_fu1151772339l_bool: $tType ).

tff(type_def_170,type,
    fun_fu497932381t_bool: $tType ).

tff(type_def_171,type,
    fun_fu2112913523t_bool: $tType ).

tff(type_def_172,type,
    fun_fu1670435187t_bool: $tType ).

tff(type_def_173,type,
    fun_fu1637550549l_bool: $tType ).

tff(type_def_174,type,
    fun_fu1995066539t_bool: $tType ).

tff(type_def_175,type,
    fun_fu1902143432t_bool: $tType ).

tff(type_def_176,type,
    fun_fu205926450t_bool: $tType ).

tff(type_def_177,type,
    fun_fu1340701053nt_int: $tType ).

tff(type_def_178,type,
    fun_fu1032682793nt_rat: $tType ).

tff(type_def_179,type,
    fun_fu90252420t_real: $tType ).

tff(type_def_180,type,
    fun_fu215647537t_bool: $tType ).

tff(type_def_181,type,
    fun_fu442799956nt_int: $tType ).

tff(type_def_182,type,
    fun_fu1843361787nt_int: $tType ).

tff(type_def_183,type,
    fun_fu976112124nt_int: $tType ).

tff(type_def_184,type,
    fun_fu1814991441ol_int: $tType ).

tff(type_def_185,type,
    fun_fu1480724285nt_int: $tType ).

tff(type_def_186,type,
    fun_fu1887272509at_int: $tType ).

tff(type_def_187,type,
    fun_fu2013528197nt_int: $tType ).

tff(type_def_188,type,
    fun_fu1224477654t_bool: $tType ).

tff(type_def_189,type,
    fun_fu1017341406t_bool: $tType ).

tff(type_def_190,type,
    fun_fu976280201t_bool: $tType ).

tff(type_def_191,type,
    fun_fu877647933nt_rat: $tType ).

tff(type_def_192,type,
    fun_fu2100483183t_bool: $tType ).

tff(type_def_193,type,
    fun_fu645688257t_real: $tType ).

tff(type_def_194,type,
    fun_fu1656153920t_real: $tType ).

tff(type_def_195,type,
    fun_fu1898336267l_bool: $tType ).

tff(type_def_196,type,
    fun_fu859852125l_real: $tType ).

tff(type_def_197,type,
    fun_fu1335490071t_real: $tType ).

tff(type_def_198,type,
    fun_fu2032273339t_bool: $tType ).

tff(type_def_199,type,
    fun_fu587508068t_bool: $tType ).

tff(type_def_200,type,
    fun_fu1221449756t_bool: $tType ).

tff(type_def_201,type,
    fun_fu257678363t_bool: $tType ).

tff(type_def_202,type,
    fun_fu1230750243l_bool: $tType ).

tff(type_def_203,type,
    fun_fu1904575089t_bool: $tType ).

tff(type_def_204,type,
    fun_fu1997740657t_bool: $tType ).

tff(type_def_205,type,
    fun_fu608458793t_bool: $tType ).

tff(type_def_206,type,
    fun_fu326650760t_bool: $tType ).

tff(type_def_207,type,
    fun_fu498912061nt_int: $tType ).

tff(type_def_208,type,
    fun_fu1415391623t_bool: $tType ).

tff(type_def_209,type,
    fun_fu1521692625nt_int: $tType ).

tff(type_def_210,type,
    fun_fu1409241085nt_int: $tType ).

tff(type_def_211,type,
    fun_fu428587005nt_int: $tType ).

tff(type_def_212,type,
    fun_fu1210427133nt_int: $tType ).

tff(type_def_213,type,
    fun_fu593722309nt_int: $tType ).

tff(type_def_214,type,
    fun_fu55588037nt_rat: $tType ).

tff(type_def_215,type,
    fun_fu146728557t_bool: $tType ).

tff(type_def_216,type,
    fun_fu1154989811t_bool: $tType ).

tff(type_def_217,type,
    fun_fu1269744292t_bool: $tType ).

tff(type_def_218,type,
    fun_fu579242521t_bool: $tType ).

tff(type_def_219,type,
    fun_fu1504258989nt_int: $tType ).

tff(type_def_220,type,
    fun_fu1890158468nt_int: $tType ).

tff(type_def_221,type,
    fun_fu915505700nt_int: $tType ).

tff(type_def_222,type,
    fun_fu30999661nt_int: $tType ).

tff(type_def_223,type,
    fun_fu2104383023nt_int: $tType ).

tff(type_def_224,type,
    fun_fu592252421nt_int: $tType ).

tff(type_def_225,type,
    fun_fu1073653253nt_int: $tType ).

tff(type_def_226,type,
    fun_fu1290768832t_bool: $tType ).

tff(type_def_227,type,
    fun_fu970548443l_bool: $tType ).

tff(type_def_228,type,
    fun_fu936814653nt_int: $tType ).

tff(type_def_229,type,
    fun_fu806471093t_bool: $tType ).

tff(type_def_230,type,
    fun_fu963292147t_bool: $tType ).

tff(type_def_231,type,
    fun_fu553683856t_bool: $tType ).

tff(type_def_232,type,
    fun_fu22111091t_bool: $tType ).

tff(type_def_233,type,
    fun_fu1524626405t_bool: $tType ).

tff(type_def_234,type,
    fun_fu1275190971t_real: $tType ).

tff(type_def_235,type,
    fun_fu860601347t_real: $tType ).

tff(type_def_236,type,
    fun_fu1374874789t_bool: $tType ).

tff(type_def_237,type,
    fun_fu407119589t_bool: $tType ).

tff(type_def_238,type,
    fun_fu1359497956t_bool: $tType ).

tff(type_def_239,type,
    fun_fu1131392967t_bool: $tType ).

tff(type_def_240,type,
    fun_fu401420093nt_int: $tType ).

tff(type_def_241,type,
    fun_fu1080573915nt_int: $tType ).

tff(type_def_242,type,
    fun_fu2042306533t_real: $tType ).

tff(type_def_243,type,
    fun_fu1004947300nt_int: $tType ).

tff(type_def_244,type,
    fun_fu1083576549t_bool: $tType ).

tff(type_def_245,type,
    fun_fu1790089701t_real: $tType ).

tff(type_def_246,type,
    fun_fu461997905nt_int: $tType ).

tff(type_def_247,type,
    fun_fu1594210934nt_int: $tType ).

tff(type_def_248,type,
    fun_fu1857222709nt_int: $tType ).

tff(type_def_249,type,
    fun_fu1151120955nt_int: $tType ).

tff(type_def_250,type,
    fun_fu1280007140nt_int: $tType ).

tff(type_def_251,type,
    fun_fu1574148012nt_int: $tType ).

tff(type_def_252,type,
    fun_fu1379407829nt_int: $tType ).

tff(type_def_253,type,
    fun_fu1086065329nt_int: $tType ).

tff(type_def_254,type,
    fun_fu156492935nt_int: $tType ).

tff(type_def_255,type,
    fun_fu1930053706omplex: $tType ).

tff(type_def_256,type,
    fun_fu521937661omplex: $tType ).

tff(type_def_257,type,
    fun_fu1647323910t_real: $tType ).

tff(type_def_258,type,
    fun_fu425979586l_bool: $tType ).

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

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

tff(type_def_261,type,
    fun_fu95670548l_real: $tType ).

tff(type_def_262,type,
    fun_fu1558043364t_bool: $tType ).

tff(type_def_263,type,
    fun_fu821463397t_bool: $tType ).

tff(type_def_264,type,
    fun_fu2104074051l_bool: $tType ).

tff(type_def_265,type,
    fun_fu609812941l_real: $tType ).

tff(type_def_266,type,
    fun_fu424979764l_real: $tType ).

tff(type_def_267,type,
    fun_fu1842467588t_bool: $tType ).

tff(type_def_268,type,
    fun_fu1792033211t_bool: $tType ).

tff(type_def_269,type,
    fun_fu1217155507l_bool: $tType ).

tff(type_def_270,type,
    fun_fu54460722t_bool: $tType ).

tff(type_def_271,type,
    fun_fu2024564861at_int: $tType ).

tff(type_def_272,type,
    fun_fu1086719572nt_int: $tType ).

tff(type_def_273,type,
    fun_fu2134752009ol_int: $tType ).

tff(type_def_274,type,
    fun_fu325663101at_nat: $tType ).

tff(type_def_275,type,
    fun_fu508603688t_real: $tType ).

tff(type_def_276,type,
    fun_fu717290361t_bool: $tType ).

tff(type_def_277,type,
    fun_fu2064863920at_nat: $tType ).

tff(type_def_278,type,
    fun_fu1370325315at_nat: $tType ).

tff(type_def_279,type,
    fun_fu1254259254l_real: $tType ).

tff(type_def_280,type,
    fun_fu1585362869l_bool: $tType ).

tff(type_def_281,type,
    fun_fu393795110t_real: $tType ).

tff(type_def_282,type,
    fun_fu990052945ol_nat: $tType ).

tff(type_def_283,type,
    fun_fu1179887677at_nat: $tType ).

tff(type_def_284,type,
    fun_fu2096040829at_rat: $tType ).

tff(type_def_285,type,
    fun_fu1414645928at_rat: $tType ).

tff(type_def_286,type,
    fun_fu1122561126l_real: $tType ).

tff(type_def_287,type,
    fun_fu692064392t_real: $tType ).

tff(type_def_288,type,
    fun_fu1853665082omplex: $tType ).

tff(type_def_289,type,
    fun_fu1532576183t_bool: $tType ).

tff(type_def_290,type,
    fun_fu1569755401t_real: $tType ).

tff(type_def_291,type,
    fun_fu221716676omplex: $tType ).

tff(type_def_292,type,
    fun_fu1634244117l_real: $tType ).

tff(type_def_293,type,
    fun_fu705349683l_real: $tType ).

tff(type_def_294,type,
    fun_fu1719442527t_real: $tType ).

tff(type_def_295,type,
    fun_fu1901564496t_bool: $tType ).

tff(type_def_296,type,
    fun_fu368769085at_int: $tType ).

tff(type_def_297,type,
    fun_fu1709053786t_real: $tType ).

tff(type_def_298,type,
    fun_fu1733046955t_bool: $tType ).

tff(type_def_299,type,
    fun_fu687803393t_bool: $tType ).

tff(type_def_300,type,
    fun_fu522653757at_nat: $tType ).

tff(type_def_301,type,
    fun_fu1382375754at_nat: $tType ).

tff(type_def_302,type,
    fun_fu1799328765at_nat: $tType ).

tff(type_def_303,type,
    fun_fu202598805at_nat: $tType ).

tff(type_def_304,type,
    fun_fu941266250at_rat: $tType ).

tff(type_def_305,type,
    fun_fu1913390252omplex: $tType ).

tff(type_def_306,type,
    fun_fu513207213t_real: $tType ).

tff(type_def_307,type,
    fun_fu658053629l_real: $tType ).

tff(type_def_308,type,
    fun_fu247819600t_real: $tType ).

tff(type_def_309,type,
    fun_fu93779013l_real: $tType ).

tff(type_def_310,type,
    fun_fu385122018l_real: $tType ).

tff(type_def_311,type,
    fun_fu80187629t_bool: $tType ).

tff(type_def_312,type,
    fun_fu1597390397l_bool: $tType ).

tff(type_def_313,type,
    fun_fu2095711751t_real: $tType ).

tff(type_def_314,type,
    fun_fu1989863883t_bool: $tType ).

tff(type_def_315,type,
    fun_fu1988341163t_bool: $tType ).

tff(type_def_316,type,
    fun_fu513399869at_rat: $tType ).

tff(type_def_317,type,
    fun_fu305882913t_bool: $tType ).

tff(type_def_318,type,
    fun_fu474013181at_rat: $tType ).

tff(type_def_319,type,
    fun_fu586093159l_bool: $tType ).

tff(type_def_320,type,
    fun_fu1710568445l_bool: $tType ).

tff(type_def_321,type,
    fun_fu1709962923l_bool: $tType ).

tff(type_def_322,type,
    fun_fu380422627l_real: $tType ).

tff(type_def_323,type,
    fun_fu1716408315t_bool: $tType ).

tff(type_def_324,type,
    fun_fu1635948867t_bool: $tType ).

tff(type_def_325,type,
    fun_fu1929568823l_bool: $tType ).

tff(type_def_326,type,
    fun_fu192063275l_bool: $tType ).

tff(type_def_327,type,
    fun_fu1564476029l_real: $tType ).

tff(type_def_328,type,
    fun_fu1362233248t_real: $tType ).

tff(type_def_329,type,
    fun_fu736357967l_bool: $tType ).

tff(type_def_330,type,
    fun_fu2120820641l_real: $tType ).

tff(type_def_331,type,
    fun_fu1950887583l_real: $tType ).

tff(type_def_332,type,
    fun_fu1074458747l_real: $tType ).

tff(type_def_333,type,
    fun_fu2064567419t_real: $tType ).

tff(type_def_334,type,
    fun_fu1138019779t_real: $tType ).

tff(type_def_335,type,
    fun_fu1877413815l_real: $tType ).

tff(type_def_336,type,
    fun_fu1882383245l_bool: $tType ).

tff(type_def_337,type,
    fun_fu370089278l_bool: $tType ).

tff(type_def_338,type,
    fun_fu1197312126t_bool: $tType ).

tff(type_def_339,type,
    fun_fu1562258007l_bool: $tType ).

tff(type_def_340,type,
    fun_fu454443562t_bool: $tType ).

tff(type_def_341,type,
    fun_fu913790938t_bool: $tType ).

tff(type_def_342,type,
    fun_fu725782359l_bool: $tType ).

tff(type_def_343,type,
    fun_fu920514766t_bool: $tType ).

tff(type_def_344,type,
    fun_fu2018039801t_bool: $tType ).

tff(type_def_345,type,
    fun_fu1124178569t_bool: $tType ).

tff(type_def_346,type,
    fun_fu1177681869l_real: $tType ).

tff(type_def_347,type,
    fun_fu1496793882l_real: $tType ).

tff(type_def_348,type,
    fun_fu317217725t_real: $tType ).

tff(type_def_349,type,
    fun_fu46447509l_real: $tType ).

tff(type_def_350,type,
    fun_fu1294731027t_real: $tType ).

tff(type_def_351,type,
    fun_fu1315898487t_real: $tType ).

tff(type_def_352,type,
    fun_fu402939139omplex: $tType ).

tff(type_def_353,type,
    fun_fu2054751691l_bool: $tType ).

tff(type_def_354,type,
    fun_fu746286897l_real: $tType ).

tff(type_def_355,type,
    fun_fu1206934473t_bool: $tType ).

tff(type_def_356,type,
    fun_fu2131001617t_bool: $tType ).

tff(type_def_357,type,
    fun_fu1429059939l_bool: $tType ).

tff(type_def_358,type,
    fun_fu987960615l_bool: $tType ).

tff(type_def_359,type,
    fun_fu888010351l_real: $tType ).

tff(type_def_360,type,
    fun_fu1091783237l_real: $tType ).

tff(type_def_361,type,
    fun_fu1972234819l_real: $tType ).

tff(type_def_362,type,
    fun_fu2022215021l_real: $tType ).

tff(type_def_363,type,
    fun_fu733030919l_real: $tType ).

tff(type_def_364,type,
    fun_fu349214399l_real: $tType ).

tff(type_def_365,type,
    fun_fu647765353l_real: $tType ).

tff(type_def_366,type,
    fun_fu1211077835l_real: $tType ).

tff(type_def_367,type,
    fun_fu459852413l_real: $tType ).

tff(type_def_368,type,
    fun_fu480930797l_real: $tType ).

tff(type_def_369,type,
    fun_fu1697185671l_real: $tType ).

tff(type_def_370,type,
    fun_fu45718637l_real: $tType ).

tff(type_def_371,type,
    fun_fu2107306267l_bool: $tType ).

tff(type_def_372,type,
    fun_fu1403389123l_real: $tType ).

tff(type_def_373,type,
    fun_fu1771472235l_real: $tType ).

tff(type_def_374,type,
    fun_fu477462821l_real: $tType ).

tff(type_def_375,type,
    fun_fu1716108231l_real: $tType ).

tff(type_def_376,type,
    fun_fu1698495721l_real: $tType ).

tff(type_def_377,type,
    fun_fu963880199t_bool: $tType ).

tff(type_def_378,type,
    fun_fu1212385221t_bool: $tType ).

tff(type_def_379,type,
    fun_fu266677575t_bool: $tType ).

tff(type_def_380,type,
    fun_fu727999887t_bool: $tType ).

tff(type_def_381,type,
    fun_fu2028862895l_real: $tType ).

tff(type_def_382,type,
    fun_fu1175943503t_bool: $tType ).

tff(type_def_383,type,
    fun_fu2073566759t_real: $tType ).

tff(type_def_384,type,
    fun_fu1045264469t_bool: $tType ).

tff(type_def_385,type,
    fun_fu1523905537l_real: $tType ).

tff(type_def_386,type,
    fun_fu1613343649l_real: $tType ).

tff(type_def_387,type,
    fun_fu1574854795l_real: $tType ).

tff(type_def_388,type,
    fun_fu1943305629l_real: $tType ).

tff(type_def_389,type,
    fun_fu209750539l_real: $tType ).

tff(type_def_390,type,
    fun_fu2079587053l_real: $tType ).

tff(type_def_391,type,
    fun_fu1280874925l_bool: $tType ).

tff(type_def_392,type,
    fun_fu1617913499l_real: $tType ).

tff(type_def_393,type,
    fun_fu1589711101l_real: $tType ).

tff(type_def_394,type,
    fun_fu383125559l_real: $tType ).

tff(type_def_395,type,
    fun_fu1620940093t_bool: $tType ).

tff(type_def_396,type,
    fun_fu1991142839t_bool: $tType ).

tff(type_def_397,type,
    fun_fu1540142484l_bool: $tType ).

tff(type_def_398,type,
    fun_fu236049833ol_nat: $tType ).

tff(type_def_399,type,
    fun_fu1671602619t_bool: $tType ).

tff(type_def_400,type,
    fun_fu539349981l_bool: $tType ).

tff(type_def_401,type,
    fun_fu1721998267ol_nat: $tType ).

tff(type_def_402,type,
    fun_fu1521371387t_bool: $tType ).

tff(type_def_403,type,
    fun_fu1154412947l_bool: $tType ).

tff(type_def_404,type,
    fun_fu393805435t_bool: $tType ).

tff(type_def_405,type,
    fun_fu1541392415t_bool: $tType ).

tff(type_def_406,type,
    fun_fu2037535261t_bool: $tType ).

tff(type_def_407,type,
    fun_fu1111569329nt_int: $tType ).

tff(type_def_408,type,
    fun_fu100404029nt_int: $tType ).

tff(type_def_409,type,
    fun_fu1720497139nt_int: $tType ).

tff(type_def_410,type,
    fun_fu916648827t_bool: $tType ).

tff(type_def_411,type,
    fun_fu1320545917t_bool: $tType ).

tff(type_def_412,type,
    fun_fu985846175t_bool: $tType ).

tff(type_def_413,type,
    fun_fu1186009211t_bool: $tType ).

tff(type_def_414,type,
    fun_fu416675807l_bool: $tType ).

tff(type_def_415,type,
    fun_fu1814137539t_bool: $tType ).

tff(type_def_416,type,
    fun_fu1570293243nt_int: $tType ).

tff(type_def_417,type,
    fun_fu1743247959t_bool: $tType ).

tff(type_def_418,type,
    fun_fu386022295l_bool: $tType ).

tff(type_def_419,type,
    fun_fu1082601339t_bool: $tType ).

tff(type_def_420,type,
    fun_fu429916689t_bool: $tType ).

tff(type_def_421,type,
    fun_fu10424993t_bool: $tType ).

tff(type_def_422,type,
    fun_fu256365437nt_int: $tType ).

tff(type_def_423,type,
    fun_fu200534695nt_int: $tType ).

tff(type_def_424,type,
    fun_fu1667083259nt_int: $tType ).

tff(type_def_425,type,
    fun_fu1258735291t_bool: $tType ).

tff(type_def_426,type,
    fun_fu600511107t_real: $tType ).

tff(type_def_427,type,
    fun_fu805285123l_bool: $tType ).

tff(type_def_428,type,
    fun_fu1694240369l_real: $tType ).

tff(type_def_429,type,
    fun_fu1861895035t_bool: $tType ).

tff(type_def_430,type,
    fun_fu59052337t_real: $tType ).

tff(type_def_431,type,
    fun_fu1735231789l_real: $tType ).

tff(type_def_432,type,
    fun_fu739403697t_real: $tType ).

tff(type_def_433,type,
    fun_fu1743937405t_bool: $tType ).

tff(type_def_434,type,
    fun_fu1466819147l_real: $tType ).

tff(type_def_435,type,
    fun_fu150535243t_bool: $tType ).

tff(type_def_436,type,
    fun_fu663780939t_bool: $tType ).

tff(type_def_437,type,
    fun_fu778540235l_real: $tType ).

tff(type_def_438,type,
    fun_fu392137927l_real: $tType ).

tff(type_def_439,type,
    fun_fu2147105085t_real: $tType ).

tff(type_def_440,type,
    fun_fu692492093t_real: $tType ).

tff(type_def_441,type,
    fun_fu411523851l_real: $tType ).

tff(type_def_442,type,
    fun_fu463555643l_real: $tType ).

tff(type_def_443,type,
    fun_fu2027257463l_real: $tType ).

tff(type_def_444,type,
    fun_fu1140645055l_real: $tType ).

tff(type_def_445,type,
    fun_fu2024625515l_bool: $tType ).

tff(type_def_446,type,
    fun_fu887818731l_real: $tType ).

tff(type_def_447,type,
    fun_fu1988342983t_bool: $tType ).

tff(type_def_448,type,
    fun_fu1229655383t_bool: $tType ).

tff(type_def_449,type,
    fun_fu1074799947t_bool: $tType ).

tff(type_def_450,type,
    fun_fu1389550933t_bool: $tType ).

tff(type_def_451,type,
    fun_fu1020737221t_bool: $tType ).

tff(type_def_452,type,
    fun_fu751079485nt_int: $tType ).

tff(type_def_453,type,
    fun_fu2112443261t_bool: $tType ).

tff(type_def_454,type,
    fun_fu1128560427l_bool: $tType ).

tff(type_def_455,type,
    fun_fu1337909610t_bool: $tType ).

tff(type_def_456,type,
    fun_fu1494809157nt_int: $tType ).

tff(type_def_457,type,
    fun_fu1186790897nt_rat: $tType ).

tff(type_def_458,type,
    fun_fu686082665t_bool: $tType ).

tff(type_def_459,type,
    fun_fu693994524nt_int: $tType ).

tff(type_def_460,type,
    fun_fu1407349192nt_rat: $tType ).

tff(type_def_461,type,
    fun_fu1123997949nt_int: $tType ).

tff(type_def_462,type,
    fun_fu1530049726t_bool: $tType ).

tff(type_def_463,type,
    fun_fu1257888773t_bool: $tType ).

tff(type_def_464,type,
    fun_fu1119133205t_bool: $tType ).

tff(type_def_465,type,
    fun_fu1940123285t_bool: $tType ).

tff(type_def_466,type,
    fun_fu581830891t_bool: $tType ).

tff(type_def_467,type,
    fun_fu179687707nt_int: $tType ).

tff(type_def_468,type,
    fun_fu1660428975nt_int: $tType ).

tff(type_def_469,type,
    fun_fu371616507nt_int: $tType ).

tff(type_def_470,type,
    fun_fu1887196079nt_rat: $tType ).

tff(type_def_471,type,
    fun_fu731020837nt_int: $tType ).

tff(type_def_472,type,
    fun_fu620454517t_bool: $tType ).

tff(type_def_473,type,
    fun_fu2062813463t_bool: $tType ).

tff(type_def_474,type,
    fun_fu1223580849nt_int: $tType ).

tff(type_def_475,type,
    fun_fu1859693515t_bool: $tType ).

tff(type_def_476,type,
    fun_fu104040328t_bool: $tType ).

tff(type_def_477,type,
    fun_fu550659463t_bool: $tType ).

tff(type_def_478,type,
    fun_fu694788213t_bool: $tType ).

tff(type_def_479,type,
    fun_fu2102390523nt_int: $tType ).

tff(type_def_480,type,
    fun_fu223014715l_bool: $tType ).

tff(type_def_481,type,
    fun_fu1983483971t_real: $tType ).

tff(type_def_482,type,
    fun_fu2145628351l_bool: $tType ).

tff(type_def_483,type,
    fun_fu1202355157l_bool: $tType ).

tff(type_def_484,type,
    fun_fu791988693l_bool: $tType ).

tff(type_def_485,type,
    fun_Pr974702441t_bool: $tType ).

tff(type_def_486,type,
    fun_Pr480351984nt_int: $tType ).

tff(type_def_487,type,
    fun_Pr1024438428nt_rat: $tType ).

tff(type_def_488,type,
    fun_Pr189909033l_bool: $tType ).

tff(type_def_489,type,
    fun_Pr1149636328t_bool: $tType ).

tff(type_def_490,type,
    fun_Pr2134412615nt_int: $tType ).

tff(type_def_491,type,
    fun_Pr1826394355nt_rat: $tType ).

tff(type_def_492,type,
    fun_Pr1238001172nt_int: $tType ).

tff(type_def_493,type,
    fun_Pr1254492423t_bool: $tType ).

tff(type_def_494,type,
    fun_Pr755126262t_bool: $tType ).

tff(type_def_495,type,
    fun_Pr642042703nt_int: $tType ).

tff(type_def_496,type,
    fun_Pr313471731t_bool: $tType ).

tff(type_def_497,type,
    fun_Pr2144253564nt_int: $tType ).

tff(type_def_498,type,
    fun_Pr820506994t_bool: $tType ).

tff(type_def_499,type,
    fun_Pr1580971581nt_int: $tType ).

tff(type_def_500,type,
    fun_Pr668393395nt_int: $tType ).

tff(type_def_501,type,
    fun_Pr241715507nt_int: $tType ).

tff(type_def_502,type,
    fun_Pr1076553414nt_int: $tType ).

tff(type_def_503,type,
    fun_Pr29212713nt_int: $tType ).

tff(type_def_504,type,
    fun_Pr1927655017t_bool: $tType ).

tff(type_def_505,type,
    fun_Pr1434736532at_nat: $tType ).

tff(type_def_506,type,
    fun_Pr465597171t_bool: $tType ).

tff(type_def_507,type,
    fun_Pr1071803827at_nat: $tType ).

tff(type_def_508,type,
    fun_Pr426809139at_nat: $tType ).

tff(type_def_509,type,
    fun_Pr1858073897at_nat: $tType ).

tff(type_def_510,type,
    fun_Pr1127657839l_bool: $tType ).

tff(type_def_511,type,
    fun_Pr608224961l_real: $tType ).

tff(type_def_512,type,
    fun_Pr1283822147l_real: $tType ).

tff(type_def_513,type,
    fun_Pr1375198143l_real: $tType ).

tff(type_def_514,type,
    fun_Pr4007113l_bool: $tType ).

tff(type_def_515,type,
    fun_Pr1669804459l_bool: $tType ).

tff(type_def_516,type,
    fun_Pr1333588703t_bool: $tType ).

tff(type_def_517,type,
    fun_Pr1020157655l_bool: $tType ).

tff(type_def_518,type,
    fun_Pr587612383t_bool: $tType ).

tff(type_def_519,type,
    fun_Pr822475479l_bool: $tType ).

tff(type_def_520,type,
    produc1359518119umeral: $tType ).

tff(type_def_521,type,
    product_prod_int_int: $tType ).

tff(type_def_522,type,
    produc393999548nt_int: $tType ).

tff(type_def_523,type,
    product_prod_nat_nat: $tType ).

tff(type_def_524,type,
    produc167071911de_int: $tType ).

tff(type_def_525,type,
    produc914805421l_real: $tType ).

tff(type_def_526,type,
    produc1450482951t_bool: $tType ).

tff(type_def_527,type,
    produc1137372701nt_int: $tType ).

tff(type_def_528,type,
    produc1322466333at_nat: $tType ).

tff(func_def_0,type,
    archim856651990g_real: real > int ).

tff(func_def_1,type,
    archim791455193or_rat: rat > int ).

tff(func_def_2,type,
    archim1246769320r_real: real > int ).

tff(func_def_3,type,
    big_co230513141nt_int: fun_fu1814991441ol_int ).

tff(func_def_4,type,
    big_co1024481617at_int: fun_fu2134752009ol_int ).

tff(func_def_5,type,
    big_co387207925at_nat: fun_fu990052945ol_nat ).

tff(func_def_6,type,
    big_co604158596t_real: fun_fu705349683l_real ).

tff(func_def_7,type,
    big_co1758102091ol_nat: fun_fu1721998267ol_nat ).

tff(func_def_8,type,
    big_co1548731110nt_int: ( fun_int_int * fun_int_bool ) > int ).

tff(func_def_9,type,
    big_co1705425894at_nat: ( fun_nat_nat * fun_nat_bool ) > nat ).

tff(func_def_10,type,
    bijR_int_int: fun_int_fun_int_bool > fun_Pr4007113l_bool ).

tff(func_def_11,type,
    cOMBB_117013006ex_nat: fun_fu1232717117omplex ).

tff(func_def_12,type,
    cOMBB_722610049al_nat: fun_fu1596546331t_real ).

tff(func_def_13,type,
    cOMBB_bool_bool_int: fun_fu1909738875t_bool ).

tff(func_def_14,type,
    cOMBB_bool_bool_nat: fun_fu1509210819t_bool ).

tff(func_def_15,type,
    cOMBB_1344650379nt_int: fun_fu201758811t_bool ).

tff(func_def_16,type,
    cOMBB_1652995168ol_int: fun_fu531009635l_bool ).

tff(func_def_17,type,
    cOMBB_1015721476ol_nat: fun_fu1849968923l_bool ).

tff(func_def_18,type,
    cOMBB_624415285l_real: fun_fu124570627l_bool ).

tff(func_def_19,type,
    cOMBB_1550063917nt_int: fun_fu790805891l_bool ).

tff(func_def_20,type,
    cOMBB_1480366270al_nat: fun_fu1646085827l_real ).

tff(func_def_21,type,
    cOMBB_662120866nt_int: fun_fu143300987nt_int ).

tff(func_def_22,type,
    cOMBB_415306361l_real: fun_fu117737819l_real ).

tff(func_def_23,type,
    cOMBB_int_bool_int: fun_fu2112913523t_bool ).

tff(func_def_24,type,
    cOMBB_int_bool_nat: fun_fu1670435187t_bool ).

tff(func_def_25,type,
    cOMBB_798864284nt_int: fun_fu1995066539t_bool ).

tff(func_def_26,type,
    cOMBB_int_int_int: fun_fu1480724285nt_int ).

tff(func_def_27,type,
    cOMBB_int_int_nat: fun_fu1887272509at_int ).

tff(func_def_28,type,
    cOMBB_47643171nt_int: fun_fu2013528197nt_int ).

tff(func_def_29,type,
    cOMBB_int_rat_int: fun_fu877647933nt_rat ).

tff(func_def_30,type,
    cOMBB_int_real_int: fun_fu1335490071t_real ).

tff(func_def_31,type,
    cOMBB_118231410ol_int: fun_fu1997740657t_bool ).

tff(func_def_32,type,
    cOMBB_182850971nt_int: fun_fu608458793t_bool ).

tff(func_def_33,type,
    cOMBB_1496585939nt_int: fun_fu428587005nt_int ).

tff(func_def_34,type,
    cOMBB_859312247nt_nat: fun_fu1210427133nt_int ).

tff(func_def_35,type,
    cOMBB_1506897658nt_int: fun_fu593722309nt_int ).

tff(func_def_36,type,
    cOMBB_170828966nt_int: fun_fu55588037nt_rat ).

tff(func_def_37,type,
    cOMBB_782625832nt_int: fun_fu1073653253nt_int ).

tff(func_def_38,type,
    cOMBB_866192175nt_int: fun_fu461997905nt_int ).

tff(func_def_39,type,
    cOMBB_1846624359nt_int: fun_fu156492935nt_int ).

tff(func_def_40,type,
    cOMBB_nat_bool_int: fun_fu1792033211t_bool ).

tff(func_def_41,type,
    cOMBB_nat_nat_nat: fun_fu1179887677at_nat ).

tff(func_def_42,type,
    cOMBB_nat_real_nat: fun_fu1719442527t_real ).

tff(func_def_43,type,
    cOMBB_800536526ol_nat: fun_fu687803393t_bool ).

tff(func_def_44,type,
    cOMBB_963856155at_nat: fun_fu1799328765at_nat ).

tff(func_def_45,type,
    cOMBB_348438404at_nat: fun_fu202598805at_nat ).

tff(func_def_46,type,
    cOMBB_1419615765al_nat: fun_fu658053629l_real ).

tff(func_def_47,type,
    cOMBB_1146692694ol_nat: fun_fu1597390397l_bool ).

tff(func_def_48,type,
    cOMBB_rat_bool_int: fun_fu1989863883t_bool ).

tff(func_def_49,type,
    cOMBB_569260360nt_int: fun_fu1988341163t_bool ).

tff(func_def_50,type,
    cOMBB_rat_rat_nat: fun_fu513399869at_rat ).

tff(func_def_51,type,
    cOMBB_214503962ol_int: fun_fu305882913t_bool ).

tff(func_def_52,type,
    cOMBB_1926947at_nat: fun_fu474013181at_rat ).

tff(func_def_53,type,
    cOMBB_real_bool_int: fun_fu1716408315t_bool ).

tff(func_def_54,type,
    cOMBB_real_bool_nat: fun_fu1635948867t_bool ).

tff(func_def_55,type,
    cOMBB_real_bool_real: fun_fu1929568823l_bool ).

tff(func_def_56,type,
    cOMBB_real_real_int: fun_fu2064567419t_real ).

tff(func_def_57,type,
    cOMBB_real_real_nat: fun_fu1138019779t_real ).

tff(func_def_58,type,
    cOMBB_real_real_real: fun_fu1877413815l_real ).

tff(func_def_59,type,
    cOMBB_599996122l_real: fun_fu1315898487t_real ).

tff(func_def_60,type,
    cOMBB_1714920583ex_nat: fun_fu402939139omplex ).

tff(func_def_61,type,
    cOMBB_1317819104ol_int: fun_fu1429059939l_bool ).

tff(func_def_62,type,
    cOMBB_430461877l_real: fun_fu987960615l_bool ).

tff(func_def_63,type,
    cOMBB_1946221070al_int: fun_fu733030919l_real ).

tff(func_def_64,type,
    cOMBB_1308947378al_nat: fun_fu349214399l_real ).

tff(func_def_65,type,
    cOMBB_882763271l_real: fun_fu1211077835l_real ).

tff(func_def_66,type,
    cOMBB_237479429l_real: fun_fu1716108231l_real ).

tff(func_def_67,type,
    cOMBB_2107848501l_real: fun_fu383125559l_real ).

tff(func_def_68,type,
    cOMBB_1211207212ol_int: fun_fu1620940093t_bool ).

tff(func_def_69,type,
    cOMBB_595786433nt_int: fun_fu1991142839t_bool ).

tff(func_def_70,type,
    cOMBB_1418110531ol_int: fun_fu1671602619t_bool ).

tff(func_def_71,type,
    cOMBB_1121934354l_real: fun_fu539349981l_bool ).

tff(func_def_72,type,
    cOMBB_591320580ol_int: fun_fu1521371387t_bool ).

tff(func_def_73,type,
    cOMBB_793166024ol_int: fun_fu1154412947l_bool ).

tff(func_def_74,type,
    cOMBB_2027861294ol_int: fun_fu393805435t_bool ).

tff(func_def_75,type,
    cOMBB_1290694363ol_int: fun_fu1541392415t_bool ).

tff(func_def_76,type,
    cOMBB_550562460ol_int: fun_fu2037535261t_bool ).

tff(func_def_77,type,
    cOMBB_1102189010nt_int: fun_fu1111569329nt_int ).

tff(func_def_78,type,
    cOMBB_1875755114nt_int: fun_fu100404029nt_int ).

tff(func_def_79,type,
    cOMBB_563965291nt_int: fun_fu1720497139nt_int ).

tff(func_def_80,type,
    cOMBB_95956018ol_int: fun_fu916648827t_bool ).

tff(func_def_81,type,
    cOMBB_389152643ol_int: fun_fu1320545917t_bool ).

tff(func_def_82,type,
    cOMBB_1453147152l_real: fun_fu985846175t_bool ).

tff(func_def_83,type,
    cOMBB_562416518ol_int: fun_fu1186009211t_bool ).

tff(func_def_84,type,
    cOMBB_188663909l_real: fun_fu416675807l_bool ).

tff(func_def_85,type,
    cOMBB_2138578194l_real: fun_fu1814137539t_bool ).

tff(func_def_86,type,
    cOMBB_1657320178nt_int: fun_fu1570293243nt_int ).

tff(func_def_87,type,
    cOMBB_1159313332l_real: fun_fu1743247959t_bool ).

tff(func_def_88,type,
    cOMBB_270132509l_real: fun_fu386022295l_bool ).

tff(func_def_89,type,
    cOMBB_2125215742l_real: fun_fu1082601339t_bool ).

tff(func_def_90,type,
    cOMBB_690122963l_real: fun_fu429916689t_bool ).

tff(func_def_91,type,
    cOMBB_172850899l_real: fun_fu10424993t_bool ).

tff(func_def_92,type,
    cOMBB_638531587nt_int: fun_fu256365437nt_int ).

tff(func_def_93,type,
    cOMBB_222539774nt_int: fun_fu200534695nt_int ).

tff(func_def_94,type,
    cOMBB_320287386nt_int: fun_fu1667083259nt_int ).

tff(func_def_95,type,
    cOMBB_1593174431ol_int: fun_fu1258735291t_bool ).

tff(func_def_96,type,
    cOMBB_1533963633al_nat: fun_fu600511107t_real ).

tff(func_def_97,type,
    cOMBB_2046938128ol_int: fun_fu805285123l_bool ).

tff(func_def_98,type,
    cOMBB_1896127834l_real: fun_fu1694240369l_real ).

tff(func_def_99,type,
    cOMBB_1647910634ol_int: fun_fu1861895035t_bool ).

tff(func_def_100,type,
    cOMBB_1948233853l_real: fun_fu59052337t_real ).

tff(func_def_101,type,
    cOMBB_1934313333l_real: fun_fu1735231789l_real ).

tff(func_def_102,type,
    cOMBB_421464275l_real: fun_fu739403697t_real ).

tff(func_def_103,type,
    cOMBB_2087181719ol_int: fun_fu1743937405t_bool ).

tff(func_def_104,type,
    cOMBB_731595089l_real: fun_fu1466819147l_real ).

tff(func_def_105,type,
    cOMBB_1247074793l_real: fun_fu150535243t_bool ).

tff(func_def_106,type,
    cOMBB_2050079537l_real: fun_fu663780939t_bool ).

tff(func_def_107,type,
    cOMBB_2092576745l_real: fun_fu778540235l_real ).

tff(func_def_108,type,
    cOMBB_557258983l_real: fun_fu392137927l_real ).

tff(func_def_109,type,
    cOMBB_2129825580al_int: fun_fu2147105085t_real ).

tff(func_def_110,type,
    cOMBB_929094628al_int: fun_fu692492093t_real ).

tff(func_def_111,type,
    cOMBB_1768400739l_real: fun_fu411523851l_real ).

tff(func_def_112,type,
    cOMBB_44084907l_real: fun_fu463555643l_real ).

tff(func_def_113,type,
    cOMBB_520243667l_real: fun_fu2027257463l_real ).

tff(func_def_114,type,
    cOMBB_3698607l_real: fun_fu1140645055l_real ).

tff(func_def_115,type,
    cOMBB_421479067l_real: fun_fu2024625515l_bool ).

tff(func_def_116,type,
    cOMBB_422423973l_real: fun_fu887818731l_real ).

tff(func_def_117,type,
    cOMBB_1459832681l_real: fun_fu1988342983t_bool ).

tff(func_def_118,type,
    cOMBB_984071017l_real: fun_fu1229655383t_bool ).

tff(func_def_119,type,
    cOMBB_2086486755nt_int: fun_fu1074799947t_bool ).

tff(func_def_120,type,
    cOMBB_773384995nt_int: fun_fu1389550933t_bool ).

tff(func_def_121,type,
    cOMBB_650041899nt_int: fun_fu1020737221t_bool ).

tff(func_def_122,type,
    cOMBB_735549356nt_int: fun_fu751079485nt_int ).

tff(func_def_123,type,
    cOMBB_1484610687nt_int: fun_fu731020837nt_int ).

tff(func_def_124,type,
    cOMBB_1389251822nt_int: fun_fu2102390523nt_int ).

tff(func_def_125,type,
    cOMBB_1795223523l_real: fun_fu223014715l_bool ).

tff(func_def_126,type,
    cOMBB_64450052al_nat: fun_fu1983483971t_real ).

tff(func_def_127,type,
    cOMBC_int_int_bool: fun_fu257678363t_bool ).

tff(func_def_128,type,
    cOMBC_int_int_int: fun_fu498912061nt_int ).

tff(func_def_129,type,
    cOMBC_241247961t_bool: fun_fu579242521t_bool ).

tff(func_def_130,type,
    cOMBC_1964283556nt_int: fun_fu2104383023nt_int ).

tff(func_def_131,type,
    cOMBC_int_nat_int: fun_fu936814653nt_int ).

tff(func_def_132,type,
    cOMBC_int_rat_bool: fun_fu22111091t_bool ).

tff(func_def_133,type,
    cOMBC_int_real_bool: fun_fu1524626405t_bool ).

tff(func_def_134,type,
    cOMBC_94739984l_bool: fun_fu1374874789t_bool ).

tff(func_def_135,type,
    cOMBC_1683390479t_bool: fun_fu407119589t_bool ).

tff(func_def_136,type,
    cOMBC_983868720t_bool: fun_fu1131392967t_bool ).

tff(func_def_137,type,
    cOMBC_736024425nt_int: fun_fu401420093nt_int ).

tff(func_def_138,type,
    cOMBC_1805044090nt_int: fun_fu1080573915nt_int ).

tff(func_def_139,type,
    cOMBC_824100275t_real: fun_fu2042306533t_real ).

tff(func_def_140,type,
    cOMBC_678732631t_bool: fun_fu1083576549t_bool ).

tff(func_def_141,type,
    cOMBC_295337211t_real: fun_fu1790089701t_real ).

tff(func_def_142,type,
    cOMBC_707974837nt_int: fun_fu1857222709nt_int ).

tff(func_def_143,type,
    cOMBC_nat_int_int: fun_fu368769085at_int ).

tff(func_def_144,type,
    cOMBC_nat_nat_bool: fun_fu1733046955t_bool ).

tff(func_def_145,type,
    cOMBC_nat_nat_nat: fun_fu522653757at_nat ).

tff(func_def_146,type,
    cOMBC_nat_real_real: fun_fu513207213t_real ).

tff(func_def_147,type,
    cOMBC_746811033l_real: fun_fu93779013l_real ).

tff(func_def_148,type,
    cOMBC_226598744l_bool: fun_fu80187629t_bool ).

tff(func_def_149,type,
    cOMBC_real_nat_real: fun_fu1177681869l_real ).

tff(func_def_150,type,
    cOMBC_real_real_bool: fun_fu2054751691l_bool ).

tff(func_def_151,type,
    cOMBC_real_real_real: fun_fu888010351l_real ).

tff(func_def_152,type,
    cOMBC_1508019322l_real: fun_fu459852413l_real ).

tff(func_def_153,type,
    cOMBC_412863505t_bool: fun_fu963880199t_bool ).

tff(func_def_154,type,
    cOMBC_243356514t_bool: fun_fu266677575t_bool ).

tff(func_def_155,type,
    cOMBC_1113900202t_bool: fun_fu727999887t_bool ).

tff(func_def_156,type,
    cOMBC_2010481033l_real: fun_fu2028862895l_real ).

tff(func_def_157,type,
    cOMBC_1801450329t_bool: fun_fu1175943503t_bool ).

tff(func_def_158,type,
    cOMBC_1329014627t_real: fun_fu2073566759t_real ).

tff(func_def_159,type,
    cOMBC_467724138l_real: fun_fu1523905537l_real ).

tff(func_def_160,type,
    cOMBC_33652895t_bool: fun_fu1940123285t_bool ).

tff(func_def_161,type,
    cOMBC_1417754532nt_int: fun_fu179687707nt_int ).

tff(func_def_162,type,
    cOMBC_2037038898nt_int: fun_fu1223580849nt_int ).

tff(func_def_163,type,
    cOMBI_int: fun_int_int ).

tff(func_def_164,type,
    cOMBI_nat: fun_nat_nat ).

tff(func_def_165,type,
    cOMBI_real: fun_real_real ).

tff(func_def_166,type,
    cOMBK_bool_nat: bool > fun_nat_bool ).

tff(func_def_167,type,
    cOMBK_1643584600t_bool: nat > fun_fun_int_bool_nat ).

tff(func_def_168,type,
    cOMBK_rat_nat: rat > fun_nat_rat ).

tff(func_def_169,type,
    cOMBS_int_bool_bool: fun_fu587508068t_bool ).

tff(func_def_170,type,
    cOMBS_2011279539nt_int: fun_fu1890158468nt_int ).

tff(func_def_171,type,
    cOMBS_1720984575t_bool: fun_fu1359497956t_bool ).

tff(func_def_172,type,
    cOMBS_1470252563nt_int: fun_fu1004947300nt_int ).

tff(func_def_173,type,
    cOMBS_1640193733nt_int: fun_fu1594210934nt_int ).

tff(func_def_174,type,
    cOMBS_1891347093nt_int: fun_fu1280007140nt_int ).

tff(func_def_175,type,
    cOMBS_nat_bool_bool: fun_fu1901564496t_bool ).

tff(func_def_176,type,
    cOMBS_nat_nat_nat: fun_fu1382375754at_nat ).

tff(func_def_177,type,
    cOMBS_nat_rat_rat: fun_fu941266250at_rat ).

tff(func_def_178,type,
    cOMBS_696648398omplex: fun_fu1913390252omplex ).

tff(func_def_179,type,
    cOMBS_nat_real_real: fun_fu247819600t_real ).

tff(func_def_180,type,
    cOMBS_337378985l_real: fun_fu385122018l_real ).

tff(func_def_181,type,
    cOMBS_real_bool_bool: fun_fu1882383245l_bool ).

tff(func_def_182,type,
    cOMBS_real_real_real: fun_fu647765353l_real ).

tff(func_def_183,type,
    cOMBS_511527878l_real: fun_fu1698495721l_real ).

tff(func_def_184,type,
    cOMBS_193881978l_real: fun_fu1613343649l_real ).

tff(func_def_185,type,
    cOMBS_107495110l_real: fun_fu1574854795l_real ).

tff(func_def_186,type,
    cOMBS_163651580l_real: fun_fu1943305629l_real ).

tff(func_def_187,type,
    cOMBS_794971624l_real: fun_fu209750539l_real ).

tff(func_def_188,type,
    cOMBS_902912708l_real: fun_fu2079587053l_real ).

tff(func_def_189,type,
    cOMBS_400904860l_bool: fun_fu1257888773t_bool ).

tff(func_def_190,type,
    cOMBS_480885903t_bool: fun_fu581830891t_bool ).

tff(func_def_191,type,
    cOMBS_2019229620nt_int: fun_fu1660428975nt_int ).

tff(func_def_192,type,
    cOMBS_549334880nt_rat: fun_fu1887196079nt_rat ).

tff(func_def_193,type,
    cOMBS_1610675060t_bool: fun_fu620454517t_bool ).

tff(func_def_194,type,
    cOMBS_1676841879t_bool: fun_fu2062813463t_bool ).

tff(func_def_195,type,
    code_S1047413653umeral: code_code_numeral > code_code_numeral ).

tff(func_def_196,type,
    code_c271388182l_size: code_code_numeral > nat ).

tff(func_def_197,type,
    code_d418564891umeral: ( code_code_numeral * code_code_numeral ) > produc1359518119umeral ).

tff(func_def_198,type,
    code_int_of: code_code_numeral > int ).

tff(func_def_199,type,
    code_nat_of_aux: code_code_numeral > fun_nat_nat ).

tff(func_def_200,type,
    comple124823625p_real: fun_real_bool > real ).

tff(func_def_201,type,
    comple219730294t_bool: fun_fu819804446l_bool > fun_int_bool ).

tff(func_def_202,type,
    im: fun_complex_real ).

tff(func_def_203,type,
    re: fun_complex_real ).

tff(func_def_204,type,
    arg: complex > real ).

tff(func_def_205,type,
    cis: real > complex ).

tff(func_def_206,type,
    cnj: fun_complex_complex ).

tff(func_def_207,type,
    complex_1: fun_re398676606omplex ).

tff(func_def_208,type,
    complex_size: complex > nat ).

tff(func_def_209,type,
    expi: complex > complex ).

tff(func_def_210,type,
    ii: complex ).

tff(func_def_211,type,
    rcis: ( real * real ) > complex ).

tff(func_def_212,type,
    bolzano_bisect: ( fun_Pr1127657839l_bool * real * real ) > fun_na1745536976l_real ).

tff(func_def_213,type,
    deriv_real: ( fun_real_real * real ) > fun_real_bool ).

tff(func_def_214,type,
    adjust: int > fun_Pr241715507nt_int ).

tff(func_def_215,type,
    div_di1218280263umeral: fun_Co1323339824umeral ).

tff(func_def_216,type,
    div_div_int: fun_int_fun_int_int ).

tff(func_def_217,type,
    div_div_nat: fun_nat_fun_nat_nat ).

tff(func_def_218,type,
    div_di1430059507de_int: fun_Qu64793220de_int ).

tff(func_def_219,type,
    div_mo1740067990umeral: code_code_numeral > fun_Co536835517umeral ).

tff(func_def_220,type,
    div_mod_int: int > fun_int_int ).

tff(func_def_221,type,
    div_mod_nat: nat > fun_nat_nat ).

tff(func_def_222,type,
    div_mo231679042de_int: quickcheck_code_int > fun_Qu812286141de_int ).

tff(func_def_223,type,
    divmod_int: ( int * int ) > product_prod_int_int ).

tff(func_def_224,type,
    divmod_int_rel: ( int * int ) > fun_Pr974702441t_bool ).

tff(func_def_225,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_226,type,
    divmod_nat_rel: ( nat * nat ) > fun_Pr1927655017t_bool ).

tff(func_def_227,type,
    negDivAlg: ( int * int ) > product_prod_int_int ).

tff(func_def_228,type,
    negDivAlg_rel: fun_Pr313471731t_bool ).

tff(func_def_229,type,
    negateSnd: fun_Pr241715507nt_int ).

tff(func_def_230,type,
    pdivmod: ( int * int ) > product_prod_int_int ).

tff(func_def_231,type,
    posDivAlg: ( int * int ) > product_prod_int_int ).

tff(func_def_232,type,
    posDivAlg_rel: fun_Pr313471731t_bool ).

tff(func_def_233,type,
    bnorRset: int > fun_int_fun_int_bool ).

tff(func_def_234,type,
    rRset2norRR: ( fun_int_bool * int ) > fun_int_int ).

tff(func_def_235,type,
    rsetR: int > fun_fu819804446l_bool ).

tff(func_def_236,type,
    is_RRset: fun_int_bool > fun_int_bool ).

tff(func_def_237,type,
    noXRRset: int > fun_int_fun_int_bool ).

tff(func_def_238,type,
    norRRset: fun_int_fun_int_bool ).

tff(func_def_239,type,
    phi: int > nat ).

tff(func_def_240,type,
    zcongm: int > fun_int_fun_int_bool ).

tff(func_def_241,type,
    multInvPair: ( int * int ) > fun_int_fun_int_bool ).

tff(func_def_242,type,
    setS: ( int * int ) > fun_fu819804446l_bool ).

tff(func_def_243,type,
    zEven: fun_int_bool ).

tff(func_def_244,type,
    zOdd: fun_int_bool ).

tff(func_def_245,type,
    fact_fact_int: fun_int_int ).

tff(func_def_246,type,
    fact_fact_nat: fun_nat_nat ).

tff(func_def_247,type,
    invers1025623611omplex: fun_co822197010omplex ).

tff(func_def_248,type,
    inverse_divide_rat: fun_rat_fun_rat_rat ).

tff(func_def_249,type,
    inverse_divide_real: fun_re229243589l_real ).

tff(func_def_250,type,
    invers1449016382omplex: fun_complex_complex ).

tff(func_def_251,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_252,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_253,type,
    finite_card_int: fun_fun_int_bool_nat ).

tff(func_def_254,type,
    finite_card_nat: fun_fun_nat_bool_nat ).

tff(func_def_255,type,
    finite1876863882t_bool: fun_fu236049833ol_nat ).

tff(func_def_256,type,
    finite_finite_int: fun_fu819804446l_bool ).

tff(func_def_257,type,
    finite_finite_nat: fun_fu425979586l_bool ).

tff(func_def_258,type,
    finite1395289673t_bool: fun_fu1540142484l_bool ).

tff(func_def_259,type,
    pair_leq: fun_Pr587612383t_bool ).

tff(func_def_260,type,
    pair_less: fun_Pr587612383t_bool ).

tff(func_def_261,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_262,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_263,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_264,type,
    abs_abs_int: fun_int_int ).

tff(func_def_265,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_266,type,
    abs_abs_real: fun_real_real ).

tff(func_def_267,type,
    minus_1690775515umeral: fun_Co1323339824umeral ).

tff(func_def_268,type,
    minus_minus_complex: fun_co822197010omplex ).

tff(func_def_269,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_270,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_271,type,
    minus_534354567de_int: fun_Qu64793220de_int ).

tff(func_def_272,type,
    minus_minus_rat: fun_rat_fun_rat_rat ).

tff(func_def_273,type,
    minus_minus_real: fun_re229243589l_real ).

tff(func_def_274,type,
    one_on1645066479umeral: code_code_numeral ).

tff(func_def_275,type,
    one_one_complex: complex ).

tff(func_def_276,type,
    one_one_int: int ).

tff(func_def_277,type,
    one_one_nat: nat ).

tff(func_def_278,type,
    one_on1684967323de_int: quickcheck_code_int ).

tff(func_def_279,type,
    one_one_rat: rat ).

tff(func_def_280,type,
    one_one_real: real ).

tff(func_def_281,type,
    plus_p1627245867umeral: fun_Co1323339824umeral ).

tff(func_def_282,type,
    plus_plus_complex: fun_co822197010omplex ).

tff(func_def_283,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_284,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_285,type,
    plus_p1446045655de_int: fun_Qu64793220de_int ).

tff(func_def_286,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_287,type,
    plus_plus_real: fun_re229243589l_real ).

tff(func_def_288,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_289,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_290,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_291,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_292,type,
    times_1655362735umeral: fun_Co1323339824umeral ).

tff(func_def_293,type,
    times_times_complex: fun_co822197010omplex ).

tff(func_def_294,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_295,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_296,type,
    times_123202395de_int: fun_Qu64793220de_int ).

tff(func_def_297,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_298,type,
    times_times_real: fun_re229243589l_real ).

tff(func_def_299,type,
    uminus473333897omplex: fun_complex_complex ).

tff(func_def_300,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_301,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_302,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_303,type,
    zero_z126310315umeral: code_code_numeral ).

tff(func_def_304,type,
    zero_zero_complex: complex ).

tff(func_def_305,type,
    zero_zero_int: int ).

tff(func_def_306,type,
    zero_zero_nat: nat ).

tff(func_def_307,type,
    zero_z891286103de_int: quickcheck_code_int ).

tff(func_def_308,type,
    zero_zero_rat: rat ).

tff(func_def_309,type,
    zero_zero_real: real ).

tff(func_def_310,type,
    the_int: fun_int_bool > int ).

tff(func_def_311,type,
    the_real: fun_real_bool > real ).

tff(func_def_312,type,
    the_Pr2103884470nt_int: fun_Pr974702441t_bool > product_prod_int_int ).

tff(func_def_313,type,
    the_Pr588456374at_nat: fun_Pr1927655017t_bool > product_prod_nat_nat ).

tff(func_def_314,type,
    hilbert_Eps_int: fun_int_bool > int ).

tff(func_def_315,type,
    hilbert_Eps_real: fun_real_bool > real ).

tff(func_def_316,type,
    if_int: fun_bo1947501544nt_int ).

tff(func_def_317,type,
    if_nat: fun_bo1071572548at_nat ).

tff(func_def_318,type,
    if_real: fun_bo1998411783l_real ).

tff(func_def_319,type,
    if_Pro1731782967nt_int: fun_bo1552468991nt_int ).

tff(func_def_320,type,
    if_Pro313124157l_real: fun_bo1189210245l_real ).

tff(func_def_321,type,
    multInv: int > fun_int_int ).

tff(func_def_322,type,
    d22set: fun_int_fun_int_bool ).

tff(func_def_323,type,
    zfact: fun_int_int ).

tff(func_def_324,type,
    xzgcd: ( int * int ) > produc393999548nt_int ).

tff(func_def_325,type,
    xzgcda: ( int * int * int * int * int * int * int * int ) > produc393999548nt_int ).

tff(func_def_326,type,
    zcong: int > fun_int_fun_int_bool ).

tff(func_def_327,type,
    zprime: fun_int_bool ).

tff(func_def_328,type,
    bit0: fun_int_int ).

tff(func_def_329,type,
    bit1: fun_int_int ).

tff(func_def_330,type,
    min: int ).

tff(func_def_331,type,
    pls: int ).

tff(func_def_332,type,
    int_ge_less_than: int > fun_Pr974702441t_bool ).

tff(func_def_333,type,
    int_ge_less_than2: int > fun_Pr974702441t_bool ).

tff(func_def_334,type,
    iszero_int: fun_int_bool ).

tff(func_def_335,type,
    iszero_rat: fun_rat_bool ).

tff(func_def_336,type,
    nat_1: fun_int_nat ).

tff(func_def_337,type,
    nat_aux: int > fun_nat_nat ).

tff(func_def_338,type,
    number1443263063umeral: fun_in1022115617umeral ).

tff(func_def_339,type,
    number528085621omplex: fun_int_complex ).

tff(func_def_340,type,
    number_number_of_int: fun_int_int ).

tff(func_def_341,type,
    number_number_of_nat: fun_int_nat ).

tff(func_def_342,type,
    number1226105091de_int: fun_in1505040589de_int ).

tff(func_def_343,type,
    number_number_of_rat: fun_int_rat ).

tff(func_def_344,type,
    number267125858f_real: fun_int_real ).

tff(func_def_345,type,
    pred: fun_int_int ).

tff(func_def_346,type,
    ring_1_Ints_real: fun_real_bool ).

tff(func_def_347,type,
    ring_11397209091omplex: fun_int_complex ).

tff(func_def_348,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_349,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_350,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_351,type,
    succ: fun_int_int ).

tff(func_def_352,type,
    lazy_small_lazy_rel: fun_Pr313471731t_bool ).

tff(func_def_353,type,
    legacy_zgcd: int > fun_int_int ).

tff(func_def_354,type,
    isCont156215680omplex: fun_complex_complex > fun_complex_bool ).

tff(func_def_355,type,
    isCont_complex_real: fun_complex_real > fun_complex_bool ).

tff(func_def_356,type,
    isCont_real_real: fun_real_real > fun_real_bool ).

tff(func_def_357,type,
    at_complex: complex > filter_complex ).

tff(func_def_358,type,
    at_real: real > filter_real ).

tff(func_def_359,type,
    sequentially: filter_nat ).

tff(func_def_360,type,
    tendst1507391555omplex: ( fun_complex_complex * complex * filter_complex ) > bool ).

tff(func_def_361,type,
    tendsto_complex_real: ( fun_complex_real * real * filter_complex ) > bool ).

tff(func_def_362,type,
    tendsto_nat_complex: ( fun_nat_complex * complex * filter_nat ) > bool ).

tff(func_def_363,type,
    tendsto_nat_real: ( fun_nat_real * real * filter_nat ) > bool ).

tff(func_def_364,type,
    tendsto_real_real: ( fun_real_real * real * filter_real ) > bool ).

tff(func_def_365,type,
    trivial_limit_nat: filter_nat > bool ).

tff(func_def_366,type,
    upto_rel: fun_Pr313471731t_bool ).

tff(func_def_367,type,
    log: real > fun_real_real ).

tff(func_def_368,type,
    powr: fun_re229243589l_real ).

tff(func_def_369,type,
    suc: fun_nat_nat ).

tff(func_def_370,type,
    nat_case_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_371,type,
    nat_case_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_372,type,
    nat_size: fun_nat_nat ).

tff(func_def_373,type,
    semiri1619134803umeral: fun_na1360402045umeral ).

tff(func_def_374,type,
    semiri2020571505omplex: fun_nat_complex ).

tff(func_def_375,type,
    semiri1621563631at_int: fun_nat_int ).

tff(func_def_376,type,
    semiri984289939at_nat: fun_nat_nat ).

tff(func_def_377,type,
    semiri1424489471de_int: fun_na295310377de_int ).

tff(func_def_378,type,
    semiri151668891at_rat: fun_nat_rat ).

tff(func_def_379,type,
    semiri132038758t_real: fun_nat_real ).

tff(func_def_380,type,
    size_s945831648umeral: fun_Co116562173al_nat ).

tff(func_def_381,type,
    size_size_complex: fun_complex_nat ).

tff(func_def_382,type,
    size_size_list_int: fun_list_int_nat ).

tff(func_def_383,type,
    size_size_nat: fun_nat_nat ).

tff(func_def_384,type,
    nat_neg: fun_int_bool ).

tff(func_def_385,type,
    nat_is_nat: fun_int_bool ).

tff(func_def_386,type,
    nat_nat_set: fun_fu819804446l_bool ).

tff(func_def_387,type,
    nat_tr876908586nt_nat: fun_int_nat > fun_fu819804446l_bool ).

tff(func_def_388,type,
    nat_tr160667106at_int: fun_nat_int > fun_fu425979586l_bool ).

tff(func_def_389,type,
    nat_tsub: int > fun_int_int ).

tff(func_def_390,type,
    frac: fun_Pr974702441t_bool ).

tff(func_def_391,type,
    int_gcd: fun_int_fun_int_int ).

tff(func_def_392,type,
    int_lcm: int > fun_int_int ).

tff(func_def_393,type,
    nat_gcd: nat > fun_nat_nat ).

tff(func_def_394,type,
    nat_gcd_rel: fun_Pr465597171t_bool ).

tff(func_def_395,type,
    nat_lcm: nat > fun_nat_nat ).

tff(func_def_396,type,
    norm_frac: ( int * int ) > product_prod_int_int ).

tff(func_def_397,type,
    norm_frac_rel: fun_Pr313471731t_bool ).

tff(func_def_398,type,
    root: fun_na182379510l_real ).

tff(func_def_399,type,
    sqrt: fun_real_real ).

tff(func_def_400,type,
    ord_le1304079648umeral: fun_Co1372573603l_bool ).

tff(func_def_401,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_402,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_403,type,
    ord_le1860547276de_int: fun_Qu1069098747t_bool ).

tff(func_def_404,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_405,type,
    ord_less_real: fun_re413263731l_bool ).

tff(func_def_406,type,
    ord_le1912455174t_bool: fun_fu1151772339l_bool ).

tff(func_def_407,type,
    ord_le382113706t_bool: fun_fu1217155507l_bool ).

tff(func_def_408,type,
    ord_le565307924umeral: fun_Co1372573603l_bool ).

tff(func_def_409,type,
    ord_less_eq_bool: fun_bo1549164019l_bool ).

tff(func_def_410,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_411,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_412,type,
    ord_le258702272de_int: fun_Qu1069098747t_bool ).

tff(func_def_413,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_414,type,
    ord_less_eq_real: fun_re413263731l_bool ).

tff(func_def_415,type,
    ord_le951220754t_bool: fun_fu1151772339l_bool ).

tff(func_def_416,type,
    ord_le1568362934t_bool: fun_fu1217155507l_bool ).

tff(func_def_417,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_418,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_419,type,
    even_odd_even_int: fun_int_bool ).

tff(func_def_420,type,
    even_odd_even_nat: fun_nat_bool ).

tff(func_def_421,type,
    power_2100829034umeral: fun_Co1868595440umeral ).

tff(func_def_422,type,
    power_power_complex: fun_co777804144omplex ).

tff(func_def_423,type,
    power_power_int: fun_int_fun_nat_int ).

tff(func_def_424,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_425,type,
    power_881366806de_int: fun_Qu1439435760de_int ).

tff(func_def_426,type,
    power_power_rat: fun_rat_fun_nat_rat ).

tff(func_def_427,type,
    power_power_real: fun_re1927296998t_real ).

tff(func_def_428,type,
    coprime: fun_nat_fun_nat_bool ).

tff(func_def_429,type,
    fact: fun_nat_nat ).

tff(func_def_430,type,
    prime: fun_nat_bool ).

tff(func_def_431,type,
    produc2136830103umeral: fun_Co1101317613umeral ).

tff(func_def_432,type,
    product_Pair_int_int: fun_in1111845413nt_int ).

tff(func_def_433,type,
    produc282740534nt_int: fun_in1560792517nt_int ).

tff(func_def_434,type,
    product_Pair_nat_nat: fun_na257798253at_nat ).

tff(func_def_435,type,
    produc1318306967de_int: fun_Qu1353705541de_int ).

tff(func_def_436,type,
    produc865579683l_real: fun_re1550493891l_real ).

tff(func_def_437,type,
    produc713279741t_bool: fun_fu497932381t_bool ).

tff(func_def_438,type,
    produc883642259nt_int: fun_Pr668393395nt_int ).

tff(func_def_439,type,
    produc494345619at_nat: fun_Pr1071803827at_nat ).

tff(func_def_440,type,
    produc713050258nt_int: fun_int_int > fun_Pr241715507nt_int ).

tff(func_def_441,type,
    product_fst_int_int: fun_Pr480351984nt_int ).

tff(func_def_442,type,
    product_fst_nat_nat: fun_Pr1434736532at_nat ).

tff(func_def_443,type,
    produc1935615926l_real: fun_Pr608224961l_real ).

tff(func_def_444,type,
    produc93441119t_bool: fun_int_fun_int_bool > fun_Pr974702441t_bool ).

tff(func_def_445,type,
    produc1298267108nt_int: fun_int_fun_int_int > fun_Pr480351984nt_int ).

tff(func_def_446,type,
    produc1518849193nt_int: fun_in1111845413nt_int > fun_Pr241715507nt_int ).

tff(func_def_447,type,
    produc1922581855t_bool: fun_nat_fun_nat_bool > fun_Pr1927655017t_bool ).

tff(func_def_448,type,
    produc1391996073at_nat: fun_na257798253at_nat > fun_Pr426809139at_nat ).

tff(func_def_449,type,
    produc595218619l_real: fun_re1550493891l_real > fun_Pr1375198143l_real ).

tff(func_def_450,type,
    produc973645403t_bool: fun_Pr313471731t_bool > fun_Pr1333588703t_bool ).

tff(func_def_451,type,
    product_snd_int_int: fun_Pr480351984nt_int ).

tff(func_def_452,type,
    product_snd_nat_nat: fun_Pr1434736532at_nat ).

tff(func_def_453,type,
    produc556554744l_real: fun_Pr608224961l_real ).

tff(func_def_454,type,
    quickc666637781d_zero: int > list_int ).

tff(func_def_455,type,
    quickc1265749348ro_rel: fun_int_fun_int_bool ).

tff(func_def_456,type,
    quickc495462417de_int: ( quickcheck_code_int * quickcheck_code_int ) > produc167071911de_int ).

tff(func_def_457,type,
    quickcheck_int_of: quickcheck_code_int > int ).

tff(func_def_458,type,
    quickcheck_nat_of: quickcheck_code_int > nat ).

tff(func_def_459,type,
    quickcheck_of_int: fun_in1505040589de_int ).

tff(func_def_460,type,
    natceiling: real > nat ).

tff(func_def_461,type,
    natfloor: real > nat ).

tff(func_def_462,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_463,type,
    frct: product_prod_int_int > rat ).

tff(func_def_464,type,
    field_1210416355s_real: fun_real_bool ).

tff(func_def_465,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_466,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_467,type,
    ratrel: fun_Pr1333588703t_bool ).

tff(func_def_468,type,
    ratreal: rat > real ).

tff(func_def_469,type,
    real_int: fun_int_real ).

tff(func_def_470,type,
    real_nat: fun_nat_real ).

tff(func_def_471,type,
    vanishes: fun_nat_rat > bool ).

tff(func_def_472,type,
    dist_dist_complex: complex > fun_complex_real ).

tff(func_def_473,type,
    dist_dist_real: real > fun_real_real ).

tff(func_def_474,type,
    norm_norm_complex: fun_complex_real ).

tff(func_def_475,type,
    norm_norm_real: fun_real_real ).

tff(func_def_476,type,
    of_real_complex: real > complex ).

tff(func_def_477,type,
    scaleR1652505878omplex: real > fun_complex_complex ).

tff(func_def_478,type,
    scaleR_scaleR_real: real > fun_real_real ).

tff(func_def_479,type,
    legendre: int > fun_int_int ).

tff(func_def_480,type,
    quadRes: fun_int_fun_int_bool ).

tff(func_def_481,type,
    resSet: int > fun_fu819804446l_bool ).

tff(func_def_482,type,
    sr: fun_int_fun_int_bool ).

tff(func_def_483,type,
    sRStar: fun_int_fun_int_bool ).

tff(func_def_484,type,
    standardRes: int > fun_int_int ).

tff(func_def_485,type,
    dvd_dv174992974umeral: fun_Co1372573603l_bool ).

tff(func_def_486,type,
    dvd_dvd_complex: fun_co2094889951x_bool ).

tff(func_def_487,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_488,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_489,type,
    dvd_dv1760642554de_int: fun_Qu1069098747t_bool ).

tff(func_def_490,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_491,type,
    dvd_dvd_real: fun_re413263731l_bool ).

tff(func_def_492,type,
    bseq_real: fun_nat_real > bool ).

tff(func_def_493,type,
    cauchy_complex: fun_nat_complex > bool ).

tff(func_def_494,type,
    cauchy_real: fun_nat_real > bool ).

tff(func_def_495,type,
    monoseq_real: fun_nat_real > bool ).

tff(func_def_496,type,
    z3div: int > fun_int_int ).

tff(func_def_497,type,
    z3mod: int > fun_int_int ).

tff(func_def_498,type,
    suminf_complex: fun_fu1930053706omplex ).

tff(func_def_499,type,
    suminf_real: fun_fu1122561126l_real ).

tff(func_def_500,type,
    summable_complex: fun_nat_complex > bool ).

tff(func_def_501,type,
    summable_real: fun_nat_real > bool ).

tff(func_def_502,type,
    sums_complex: fun_nat_complex > fun_complex_bool ).

tff(func_def_503,type,
    sums_real: fun_nat_real > fun_real_bool ).

tff(func_def_504,type,
    ord_at875362053st_int: int > fun_int_fun_int_bool ).

tff(func_def_505,type,
    ord_at238088361st_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_506,type,
    ord_at1589558736t_real: real > fun_re413263731l_bool ).

tff(func_def_507,type,
    ord_at641636577an_int: int > fun_int_fun_int_bool ).

tff(func_def_508,type,
    ord_at4362885an_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_509,type,
    ord_at1496968948n_real: real > fun_re413263731l_bool ).

tff(func_def_510,type,
    ord_atMost_nat: fun_nat_fun_nat_bool ).

tff(func_def_511,type,
    ord_atMost_real: fun_re413263731l_bool ).

tff(func_def_512,type,
    ord_gr1297742076an_int: int > fun_int_fun_int_bool ).

tff(func_def_513,type,
    ord_gr660468384an_nat: nat > fun_nat_fun_nat_bool ).

tff(func_def_514,type,
    ord_gr788844697n_real: real > fun_re413263731l_bool ).

tff(func_def_515,type,
    ord_lessThan_nat: fun_nat_fun_nat_bool ).

tff(func_def_516,type,
    ord_lessThan_real: fun_re413263731l_bool ).

tff(func_def_517,type,
    collect_int: fun_int_bool > fun_int_bool ).

tff(func_def_518,type,
    collect_nat: fun_nat_bool > fun_nat_bool ).

tff(func_def_519,type,
    collect_real: fun_real_bool > fun_real_bool ).

tff(func_def_520,type,
    collec1347809874nt_int: fun_Pr974702441t_bool > fun_Pr974702441t_bool ).

tff(func_def_521,type,
    collec1979865426at_nat: fun_Pr1927655017t_bool > fun_Pr1927655017t_bool ).

tff(func_def_522,type,
    collec50511176nt_int: fun_Pr1333588703t_bool > fun_Pr1333588703t_bool ).

tff(func_def_523,type,
    image_int_int: ( fun_int_int * fun_int_bool ) > fun_int_bool ).

tff(func_def_524,type,
    image_int_nat: ( fun_int_nat * fun_int_bool ) > fun_nat_bool ).

tff(func_def_525,type,
    image_275383677t_bool: ( fun_int_fun_int_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(func_def_526,type,
    image_nat_int: ( fun_nat_int * fun_nat_bool ) > fun_int_bool ).

tff(func_def_527,type,
    image_nat_nat: ( fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_528,type,
    arccos: fun_real_real ).

tff(func_def_529,type,
    arcsin: fun_real_real ).

tff(func_def_530,type,
    arctan: fun_real_real ).

tff(func_def_531,type,
    cos: fun_real_real ).

tff(func_def_532,type,
    cos_coeff: fun_nat_real ).

tff(func_def_533,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_534,type,
    exp_real: fun_real_real ).

tff(func_def_535,type,
    ln: fun_real_real ).

tff(func_def_536,type,
    pi: real ).

tff(func_def_537,type,
    sin: fun_real_real ).

tff(func_def_538,type,
    sin_coeff: fun_nat_real ).

tff(func_def_539,type,
    tan: fun_real_real ).

tff(func_def_540,type,
    twoSqu1425020248sum2sq: fun_int_bool ).

tff(func_def_541,type,
    twoSqu2000912462sum2sq: fun_Pr480351984nt_int ).

tff(func_def_542,type,
    accp_int: fun_int_fun_int_bool > fun_int_bool ).

tff(func_def_543,type,
    accp_P2006205492nt_int: fun_Pr313471731t_bool > fun_Pr974702441t_bool ).

tff(func_def_544,type,
    accp_P490777396at_nat: fun_Pr465597171t_bool > fun_Pr1927655017t_bool ).

tff(func_def_545,type,
    pred_nat: fun_Pr1927655017t_bool ).

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

tff(func_def_547,type,
    wset: int > fun_int_fun_int_bool ).

tff(func_def_548,type,
    fEx_int: fun_fu819804446l_bool ).

tff(func_def_549,type,
    fEx_nat: fun_fu425979586l_bool ).

tff(func_def_550,type,
    fFalse: bool ).

tff(func_def_551,type,
    fNot: fun_bool_bool ).

tff(func_def_552,type,
    fTrue: bool ).

tff(func_def_553,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_554,type,
    fdisj: ( bool * bool ) > bool ).

tff(func_def_555,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_556,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_557,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_558,type,
    fequal_real: fun_re413263731l_bool ).

tff(func_def_559,type,
    fimplies: bool > fun_bool_bool ).

tff(func_def_560,type,
    hAPP_C498520661umeral: ( fun_Co536835517umeral * code_code_numeral ) > code_code_numeral ).

tff(func_def_561,type,
    hAPP_C24501650l_bool: ( fun_Co1584449344l_bool * code_code_numeral ) > bool ).

tff(func_def_562,type,
    hAPP_C2129356693al_nat: ( fun_Co116562173al_nat * code_code_numeral ) > nat ).

tff(func_def_563,type,
    hAPP_C1594335432umeral: ( fun_Co1323339824umeral * code_code_numeral ) > fun_Co536835517umeral ).

tff(func_def_564,type,
    hAPP_C10902773l_bool: ( fun_Co1372573603l_bool * code_code_numeral ) > fun_Co1584449344l_bool ).

tff(func_def_565,type,
    hAPP_C1614127039umeral: ( fun_Co1101317613umeral * code_code_numeral ) > fun_Co991465098umeral ).

tff(func_def_566,type,
    hAPP_C471253896umeral: ( fun_Co1868595440umeral * code_code_numeral ) > fun_na1360402045umeral ).

tff(func_def_567,type,
    hAPP_C2132160860umeral: ( fun_Co991465098umeral * code_code_numeral ) > produc1359518119umeral ).

tff(func_def_568,type,
    hAPP_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_569,type,
    hAPP_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_570,type,
    hAPP_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_571,type,
    hAPP_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_572,type,
    hAPP_c172932010omplex: ( fun_co822197010omplex * complex ) > fun_complex_complex ).

tff(func_def_573,type,
    hAPP_c1403687985x_bool: ( fun_co2094889951x_bool * complex ) > fun_complex_bool ).

tff(func_def_574,type,
    hAPP_c1088319240omplex: ( fun_co777804144omplex * complex ) > fun_nat_complex ).

tff(func_def_575,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_576,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_577,type,
    hAPP_b1463609396nt_int: ( fun_bo1947501544nt_int * bool ) > fun_int_fun_int_int ).

tff(func_def_578,type,
    hAPP_b992065680at_nat: ( fun_bo1071572548at_nat * bool ) > fun_nat_fun_nat_nat ).

tff(func_def_579,type,
    hAPP_b646336293l_real: ( fun_bo1998411783l_real * bool ) > fun_re229243589l_real ).

tff(func_def_580,type,
    hAPP_b40753821nt_int: ( fun_bo1552468991nt_int * bool ) > fun_Pr1580971581nt_int ).

tff(func_def_581,type,
    hAPP_b1482221219l_real: ( fun_bo1189210245l_real * bool ) > fun_Pr1283822147l_real ).

tff(func_def_582,type,
    hAPP_i769753017umeral: ( fun_in1022115617umeral * int ) > code_code_numeral ).

tff(func_def_583,type,
    hAPP_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_584,type,
    hAPP_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_585,type,
    hAPP_int_int: ( fun_int_int * int ) > int ).

tff(func_def_586,type,
    hAPP_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_587,type,
    hAPP_i1732201573de_int: ( fun_in1505040589de_int * int ) > quickcheck_code_int ).

tff(func_def_588,type,
    hAPP_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_589,type,
    hAPP_int_real: ( fun_int_real * int ) > real ).

tff(func_def_590,type,
    hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).

tff(func_def_591,type,
    hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_592,type,
    hAPP_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_593,type,
    hAPP_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_594,type,
    hAPP_i627165055t_real: ( fun_int_fun_int_real * int ) > fun_int_real ).

tff(func_def_595,type,
    hAPP_i1823918693l_bool: ( fun_in397122125l_bool * int ) > fun_in531499254l_bool ).

tff(func_def_596,type,
    hAPP_i345030060t_bool: ( fun_in351380826t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_597,type,
    hAPP_i1778081398nt_int: ( fun_in865885604nt_int * int ) > fun_in1111845413nt_int ).

tff(func_def_598,type,
    hAPP_i1153444985nt_int: ( fun_in2124216673nt_int * int ) > fun_in989261322nt_int ).

tff(func_def_599,type,
    hAPP_i1584592887nt_int: ( fun_in1111845413nt_int * int ) > fun_in2003698982nt_int ).

tff(func_def_600,type,
    hAPP_i418383825t_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_601,type,
    hAPP_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_602,type,
    hAPP_i157317923t_real: ( fun_int_fun_nat_real * int ) > fun_nat_real ).

tff(func_def_603,type,
    hAPP_i614188481l_bool: ( fun_in1678813097l_bool * int ) > fun_na1469252690l_bool ).

tff(func_def_604,type,
    hAPP_i16292313t_bool: ( fun_int_fun_rat_bool * int ) > fun_rat_bool ).

tff(func_def_605,type,
    hAPP_i688218208l_bool: ( fun_in1251377736l_bool * int ) > fun_real_bool ).

tff(func_def_606,type,
    hAPP_i371647666l_real: ( fun_in7315610l_real * int ) > fun_real_real ).

tff(func_def_607,type,
    hAPP_i2112223885l_bool: ( fun_in938817141l_bool * int ) > fun_fu819804446l_bool ).

tff(func_def_608,type,
    hAPP_i1529485324t_bool: ( fun_in719570932t_bool * int ) > fun_fu554825757t_bool ).

tff(func_def_609,type,
    hAPP_i872162435t_bool: ( fun_in67169585t_bool * int ) > fun_fu205926450t_bool ).

tff(func_def_610,type,
    hAPP_i744251628nt_int: ( fun_in1797533524nt_int * int ) > fun_fu1340701053nt_int ).

tff(func_def_611,type,
    hAPP_i998473677nt_int: ( fun_in2078400507nt_int * int ) > fun_fu976112124nt_int ).

tff(func_def_612,type,
    hAPP_i1671359920t_real: ( fun_in1390825880t_real * int ) > fun_fu645688257t_real ).

tff(func_def_613,type,
    hAPP_i1836591008nt_int: ( fun_in792564872nt_int * int ) > fun_fu1086065329nt_int ).

tff(func_def_614,type,
    hAPP_i1796122964t_bool: ( fun_in319042876t_bool * int ) > fun_fu821463397t_bool ).

tff(func_def_615,type,
    hAPP_i447943416t_real: ( fun_in464278240t_real * int ) > fun_fu1569755401t_real ).

tff(func_def_616,type,
    hAPP_i119638232t_bool: ( fun_in1698189120t_bool * int ) > fun_Pr974702441t_bool ).

tff(func_def_617,type,
    hAPP_i61245889nt_int: ( fun_in1211676399nt_int * int ) > fun_Pr480351984nt_int ).

tff(func_def_618,type,
    hAPP_i2104874254nt_int: ( fun_in941977532nt_int * int ) > fun_Pr1580971581nt_int ).

tff(func_def_619,type,
    hAPP_i1216375074nt_int: ( fun_in989261322nt_int * int ) > fun_Pr241715507nt_int ).

tff(func_def_620,type,
    hAPP_i1730167831nt_int: ( fun_in1560792517nt_int * int ) > fun_Pr1076553414nt_int ).

tff(func_def_621,type,
    hAPP_i1524277240nt_int: ( fun_in2003698982nt_int * int ) > product_prod_int_int ).

tff(func_def_622,type,
    hAPP_list_int_nat: ( fun_list_int_nat * list_int ) > nat ).

tff(func_def_623,type,
    hAPP_n1108039445umeral: ( fun_na1360402045umeral * nat ) > code_code_numeral ).

tff(func_def_624,type,
    hAPP_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_625,type,
    hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_626,type,
    hAPP_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_627,type,
    hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_628,type,
    hAPP_n522471361de_int: ( fun_na295310377de_int * nat ) > quickcheck_code_int ).

tff(func_def_629,type,
    hAPP_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_630,type,
    hAPP_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_631,type,
    hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).

tff(func_def_632,type,
    hAPP_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_633,type,
    hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_634,type,
    hAPP_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_635,type,
    hAPP_n1865633855at_nat: ( fun_na257798253at_nat * nat ) > fun_na196172234at_nat ).

tff(func_def_636,type,
    hAPP_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_637,type,
    hAPP_n1983812447omplex: ( fun_na1566252557omplex * nat ) > fun_real_complex ).

tff(func_def_638,type,
    hAPP_n546711566l_real: ( fun_na182379510l_real * nat ) > fun_real_real ).

tff(func_def_639,type,
    hAPP_n682674106l_real: ( fun_na768876520l_real * nat ) > fun_re229243589l_real ).

tff(func_def_640,type,
    hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).

tff(func_def_641,type,
    hAPP_n1289843868at_nat: ( fun_na196172234at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_642,type,
    hAPP_n332733730l_real: ( fun_na1745536976l_real * nat ) > produc914805421l_real ).

tff(func_def_643,type,
    hAPP_Q2096512830t_bool: ( fun_Qu817627884t_bool * quickcheck_code_int ) > bool ).

tff(func_def_644,type,
    hAPP_Q1762011733de_int: ( fun_Qu812286141de_int * quickcheck_code_int ) > quickcheck_code_int ).

tff(func_def_645,type,
    hAPP_Q125967240de_int: ( fun_Qu1439435760de_int * quickcheck_code_int ) > fun_na295310377de_int ).

tff(func_def_646,type,
    hAPP_Q1010094925t_bool: ( fun_Qu1069098747t_bool * quickcheck_code_int ) > fun_Qu817627884t_bool ).

tff(func_def_647,type,
    hAPP_Q1729056540de_int: ( fun_Qu64793220de_int * quickcheck_code_int ) > fun_Qu812286141de_int ).

tff(func_def_648,type,
    hAPP_Q952608535de_int: ( fun_Qu1353705541de_int * quickcheck_code_int ) > fun_Qu78318390de_int ).

tff(func_def_649,type,
    hAPP_Q1256397320de_int: ( fun_Qu78318390de_int * quickcheck_code_int ) > produc167071911de_int ).

tff(func_def_650,type,
    hAPP_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_651,type,
    hAPP_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_652,type,
    hAPP_r1900510169t_bool: ( fun_rat_fun_int_bool * rat ) > fun_int_bool ).

tff(func_def_653,type,
    hAPP_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_654,type,
    hAPP_r2115560837t_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_655,type,
    hAPP_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_656,type,
    hAPP_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_657,type,
    hAPP_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_658,type,
    hAPP_real_real: ( fun_real_real * real ) > real ).

tff(func_def_659,type,
    hAPP_r1938957037l_bool: ( fun_re1114994977l_bool * real ) > fun_bool_bool ).

tff(func_def_660,type,
    hAPP_r481142414t_bool: ( fun_re546217968t_bool * real ) > fun_int_bool ).

tff(func_def_661,type,
    hAPP_r632163725t_bool: ( fun_re386138607t_bool * real ) > fun_int_fun_int_bool ).

tff(func_def_662,type,
    hAPP_r1150855451l_bool: ( fun_re1598305103l_bool * real ) > fun_in397122125l_bool ).

tff(func_def_663,type,
    hAPP_r373117745t_bool: ( fun_re2063775123t_bool * real ) > fun_int_fun_nat_bool ).

tff(func_def_664,type,
    hAPP_r285062775l_bool: ( fun_re1564496555l_bool * real ) > fun_in1678813097l_bool ).

tff(func_def_665,type,
    hAPP_r1962736578t_bool: ( fun_re1979725814t_bool * real ) > fun_in719570932t_bool ).

tff(func_def_666,type,
    hAPP_r1562208522t_bool: ( fun_re506364222t_bool * real ) > fun_in319042876t_bool ).

tff(func_def_667,type,
    hAPP_r474017924t_real: ( fun_re1927296998t_real * real ) > fun_nat_real ).

tff(func_def_668,type,
    hAPP_r195310020l_real: ( fun_re1191071736l_real * real ) > fun_na182379510l_real ).

tff(func_def_669,type,
    hAPP_r265291036omplex: ( fun_re398676606omplex * real ) > fun_real_complex ).

tff(func_def_670,type,
    hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).

tff(func_def_671,type,
    hAPP_r1250527377l_real: ( fun_re229243589l_real * real ) > fun_real_real ).

tff(func_def_672,type,
    hAPP_r337325687l_real: ( fun_re1227808089l_real * real ) > fun_re229243589l_real ).

tff(func_def_673,type,
    hAPP_r579619957l_real: ( fun_re665330775l_real * real ) > fun_re1550493891l_real ).

tff(func_def_674,type,
    hAPP_r794344869l_real: ( fun_re69907033l_real * real ) > fun_re1761459671l_real ).

tff(func_def_675,type,
    hAPP_r1230691443l_real: ( fun_re10870101l_real * real ) > fun_re923322561l_real ).

tff(func_def_676,type,
    hAPP_r2019696015l_real: ( fun_re1550493891l_real * real ) > fun_re785671361l_real ).

tff(func_def_677,type,
    hAPP_r1623423338t_bool: ( fun_re1058169246t_bool * real ) > fun_fu380257692t_bool ).

tff(func_def_678,type,
    hAPP_r847664445t_bool: ( fun_re1171866993t_bool * real ) > fun_fu2100483183t_bool ).

tff(func_def_679,type,
    hAPP_r1392521531t_bool: ( fun_re521366895t_bool * real ) > fun_fu146728557t_bool ).

tff(func_def_680,type,
    hAPP_r2052264067t_bool: ( fun_re811280567t_bool * real ) > fun_fu806471093t_bool ).

tff(func_def_681,type,
    hAPP_r1409264866l_real: ( fun_re1879328022l_real * real ) > fun_fu95670548l_real ).

tff(func_def_682,type,
    hAPP_r653725362t_bool: ( fun_re507499238t_bool * real ) > fun_fu1558043364t_bool ).

tff(func_def_683,type,
    hAPP_r50993370t_real: ( fun_re573205052t_real * real ) > fun_fu508603688t_real ).

tff(func_def_684,type,
    hAPP_r279757445t_bool: ( fun_re1091407545t_bool * real ) > fun_fu1532576183t_bool ).

tff(func_def_685,type,
    hAPP_r1130899993l_bool: ( fun_re1865242107l_bool * real ) > fun_fu586093159l_bool ).

tff(func_def_686,type,
    hAPP_r712953929l_real: ( fun_re955532029l_real * real ) > fun_fu1074458747l_real ).

tff(func_def_687,type,
    hAPP_r1043989325l_real: ( fun_re1414183599l_real * real ) > fun_fu1617913499l_real ).

tff(func_def_688,type,
    hAPP_r224952523l_real: ( fun_re1233422975l_real * real ) > fun_fu1589711101l_real ).

tff(func_def_689,type,
    hAPP_r931665397l_real: ( fun_re1761459671l_real * real ) > fun_Pr1283822147l_real ).

tff(func_def_690,type,
    hAPP_r938550413l_real: ( fun_re923322561l_real * real ) > fun_Pr1375198143l_real ).

tff(func_def_691,type,
    hAPP_r1195171167l_real: ( fun_re785671361l_real * real ) > produc914805421l_real ).

tff(func_def_692,type,
    hAPP_f1457396693omplex: ( fun_fu1232717117omplex * fun_complex_complex ) > fun_fu521937661omplex ).

tff(func_def_693,type,
    hAPP_f327026105t_real: ( fun_fu1596546331t_real * fun_complex_real ) > fun_fu1647323910t_real ).

tff(func_def_694,type,
    hAPP_f627970963t_bool: ( fun_fu1909738875t_bool * fun_bool_bool ) > fun_fu554825757t_bool ).

tff(func_def_695,type,
    hAPP_f894608603t_bool: ( fun_fu1509210819t_bool * fun_bool_bool ) > fun_fu821463397t_bool ).

tff(func_def_696,type,
    hAPP_f513299955t_bool: ( fun_fu201758811t_bool * fun_bool_bool ) > fun_fu2112443261t_bool ).

tff(func_def_697,type,
    hAPP_f1734373249l_bool: ( fun_fu531009635l_bool * fun_bo1549164019l_bool ) > fun_fu610077323l_bool ).

tff(func_def_698,type,
    hAPP_f1080886329l_bool: ( fun_fu1849968923l_bool * fun_bo1549164019l_bool ) > fun_fu2104074051l_bool ).

tff(func_def_699,type,
    hAPP_f1485493409l_bool: ( fun_fu124570627l_bool * fun_bo1549164019l_bool ) > fun_fu1709962923l_bool ).

tff(func_def_700,type,
    hAPP_f1961001761l_bool: ( fun_fu790805891l_bool * fun_bo1549164019l_bool ) > fun_fu1128560427l_bool ).

tff(func_def_701,type,
    hAPP_f264196187l_real: ( fun_fu1646085827l_real * fun_bo1998411783l_real ) > fun_fu609812941l_real ).

tff(func_def_702,type,
    hAPP_f279307923nt_int: ( fun_fu143300987nt_int * fun_bo1552468991nt_int ) > fun_fu1074651901nt_int ).

tff(func_def_703,type,
    hAPP_f1076489843l_real: ( fun_fu117737819l_real * fun_bo1189210245l_real ) > fun_fu380422627l_real ).

tff(func_def_704,type,
    hAPP_f448129468l_bool: ( fun_fu819804446l_bool * fun_int_bool ) > bool ).

tff(func_def_705,type,
    hAPP_f1594865479ol_int: ( fun_fun_int_bool_int * fun_int_bool ) > int ).

tff(func_def_706,type,
    hAPP_f957591787ol_nat: ( fun_fun_int_bool_nat * fun_int_bool ) > nat ).

tff(func_def_707,type,
    hAPP_f1805168059t_bool: ( fun_fu554825757t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_708,type,
    hAPP_f2144054103l_bool: ( fun_fu610077323l_bool * fun_int_bool ) > fun_in531499254l_bool ).

tff(func_def_709,type,
    hAPP_f1048215610t_bool: ( fun_fu380257692t_bool * fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_710,type,
    hAPP_f251264923nt_int: ( fun_fu1074651901nt_int * fun_int_bool ) > fun_in941977532nt_int ).

tff(func_def_711,type,
    hAPP_f1832844496t_bool: ( fun_fu1107106820t_bool * fun_int_bool ) > fun_re386138607t_bool ).

tff(func_def_712,type,
    hAPP_f284875647l_bool: ( fun_fu1151772339l_bool * fun_int_bool ) > fun_fu819804446l_bool ).

tff(func_def_713,type,
    hAPP_f1418982953t_bool: ( fun_fu497932381t_bool * fun_int_bool ) > fun_fu1902143432t_bool ).

tff(func_def_714,type,
    hAPP_f1512942609t_bool: ( fun_fu2112913523t_bool * fun_int_bool ) > fun_fu205926450t_bool ).

tff(func_def_715,type,
    hAPP_f1361476881t_bool: ( fun_fu1670435187t_bool * fun_int_bool ) > fun_fu54460722t_bool ).

tff(func_def_716,type,
    hAPP_f628503027l_bool: ( fun_fu1637550549l_bool * fun_int_bool ) > fun_fu1540142484l_bool ).

tff(func_def_717,type,
    hAPP_f492612297t_bool: ( fun_fu1995066539t_bool * fun_int_bool ) > fun_fu1337909610t_bool ).

tff(func_def_718,type,
    hAPP_f538843494t_bool: ( fun_fu1902143432t_bool * fun_int_bool ) > produc1450482951t_bool ).

tff(func_def_719,type,
    hAPP_f429935748t_bool: ( fun_fu205926450t_bool * fun_int_int ) > fun_int_bool ).

tff(func_def_720,type,
    hAPP_f1356864277nt_int: ( fun_fu1340701053nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_721,type,
    hAPP_f1900950721nt_rat: ( fun_fu1032682793nt_rat * fun_int_int ) > fun_int_rat ).

tff(func_def_722,type,
    hAPP_f563293398t_real: ( fun_fu90252420t_real * fun_int_int ) > fun_int_real ).

tff(func_def_723,type,
    hAPP_f1791153283t_bool: ( fun_fu215647537t_bool * fun_int_int ) > fun_int_fun_int_bool ).

tff(func_def_724,type,
    hAPP_f1760145644nt_int: ( fun_fu442799956nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_725,type,
    hAPP_f1574055885nt_int: ( fun_fu1843361787nt_int * fun_int_int ) > fun_in1111845413nt_int ).

tff(func_def_726,type,
    hAPP_f883232462nt_int: ( fun_fu976112124nt_int * fun_int_int ) > fun_in2003698982nt_int ).

tff(func_def_727,type,
    hAPP_f1926459811ol_int: ( fun_fu1814991441ol_int * fun_int_int ) > fun_fun_int_bool_int ).

tff(func_def_728,type,
    hAPP_f747162069nt_int: ( fun_fu1480724285nt_int * fun_int_int ) > fun_fu1340701053nt_int ).

tff(func_def_729,type,
    hAPP_f1431025877at_int: ( fun_fu1887272509at_int * fun_int_int ) > fun_fu2024564861at_int ).

tff(func_def_730,type,
    hAPP_f11151005nt_int: ( fun_fu2013528197nt_int * fun_int_int ) > fun_fu1494809157nt_int ).

tff(func_def_731,type,
    hAPP_f1448486952t_bool: ( fun_fu1224477654t_bool * fun_int_nat ) > fun_int_bool ).

tff(func_def_732,type,
    hAPP_f1241350704t_bool: ( fun_fu1017341406t_bool * fun_int_rat ) > fun_int_bool ).

tff(func_def_733,type,
    hAPP_f601898971t_bool: ( fun_fu976280201t_bool * fun_int_rat ) > fun_int_fun_rat_bool ).

tff(func_def_734,type,
    hAPP_f1270196437nt_rat: ( fun_fu877647933nt_rat * fun_int_rat ) > fun_fu1032682793nt_rat ).

tff(func_def_735,type,
    hAPP_f429384717t_bool: ( fun_fu2100483183t_bool * fun_int_real ) > fun_int_bool ).

tff(func_def_736,type,
    hAPP_f269654879t_real: ( fun_fu645688257t_real * fun_int_real ) > fun_int_real ).

tff(func_def_737,type,
    hAPP_f1323932638t_real: ( fun_fu1656153920t_real * fun_int_real ) > fun_int_fun_int_real ).

tff(func_def_738,type,
    hAPP_f801032407l_bool: ( fun_fu1898336267l_bool * fun_int_real ) > fun_in1251377736l_bool ).

tff(func_def_739,type,
    hAPP_f1352333353l_real: ( fun_fu859852125l_real * fun_int_real ) > fun_in7315610l_real ).

tff(func_def_740,type,
    hAPP_f134192053t_real: ( fun_fu1335490071t_real * fun_int_real ) > fun_fu90252420t_real ).

tff(func_def_741,type,
    hAPP_f1315737299t_bool: ( fun_fu2032273339t_bool * fun_in531499254l_bool ) > fun_in719570932t_bool ).

tff(func_def_742,type,
    hAPP_f727283836t_bool: ( fun_fu587508068t_bool * fun_in531499254l_bool ) > fun_fu554825757t_bool ).

tff(func_def_743,type,
    hAPP_f2119767738t_bool: ( fun_fu1221449756t_bool * fun_int_fun_int_bool ) > fun_int_bool ).

tff(func_def_744,type,
    hAPP_f428220345t_bool: ( fun_fu257678363t_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_745,type,
    hAPP_f1344929775l_bool: ( fun_fu1230750243l_bool * fun_int_fun_int_bool ) > fun_in397122125l_bool ).

tff(func_def_746,type,
    hAPP_f1251097615t_bool: ( fun_fu1904575089t_bool * fun_int_fun_int_bool ) > fun_in67169585t_bool ).

tff(func_def_747,type,
    hAPP_f1399575567t_bool: ( fun_fu1997740657t_bool * fun_int_fun_int_bool ) > fun_fu215647537t_bool ).

tff(func_def_748,type,
    hAPP_f214467655t_bool: ( fun_fu608458793t_bool * fun_int_fun_int_bool ) > fun_fu686082665t_bool ).

tff(func_def_749,type,
    hAPP_f720654810t_bool: ( fun_fu326650760t_bool * fun_int_fun_int_int ) > fun_int_fun_int_bool ).

tff(func_def_750,type,
    hAPP_f2135977429nt_int: ( fun_fu498912061nt_int * fun_int_fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_751,type,
    hAPP_f725770969t_bool: ( fun_fu1415391623t_bool * fun_int_fun_int_int ) > fun_in351380826t_bool ).

tff(func_def_752,type,
    hAPP_f2004554147nt_int: ( fun_fu1521692625nt_int * fun_int_fun_int_int ) > fun_in865885604nt_int ).

tff(func_def_753,type,
    hAPP_f836602773nt_int: ( fun_fu1409241085nt_int * fun_int_fun_int_int ) > fun_in1797533524nt_int ).

tff(func_def_754,type,
    hAPP_f1629352853nt_int: ( fun_fu428587005nt_int * fun_int_fun_int_int ) > fun_fu442799956nt_int ).

tff(func_def_755,type,
    hAPP_f125788821nt_int: ( fun_fu1210427133nt_int * fun_int_fun_int_int ) > fun_fu1086719572nt_int ).

tff(func_def_756,type,
    hAPP_f1038672605nt_int: ( fun_fu593722309nt_int * fun_int_fun_int_int ) > fun_fu693994524nt_int ).

tff(func_def_757,type,
    hAPP_f382317021nt_rat: ( fun_fu55588037nt_rat * fun_int_fun_int_rat ) > fun_fu1407349192nt_rat ).

tff(func_def_758,type,
    hAPP_f351634443t_bool: ( fun_fu146728557t_bool * fun_int_fun_int_real ) > fun_int_fun_int_bool ).

tff(func_def_759,type,
    hAPP_f956464319t_bool: ( fun_fu1154989811t_bool * fun_int_fun_int_real ) > fun_re386138607t_bool ).

tff(func_def_760,type,
    hAPP_f1545556668t_bool: ( fun_fu1269744292t_bool * fun_in397122125l_bool ) > fun_in719570932t_bool ).

tff(func_def_761,type,
    hAPP_f791698359t_bool: ( fun_fu579242521t_bool * fun_in351380826t_bool ) > fun_in351380826t_bool ).

tff(func_def_762,type,
    hAPP_f2094497995nt_int: ( fun_fu1504258989nt_int * fun_in865885604nt_int ) > fun_in865885604nt_int ).

tff(func_def_763,type,
    hAPP_f434654626nt_int: ( fun_fu1890158468nt_int * fun_in865885604nt_int ) > fun_fu1843361787nt_int ).

tff(func_def_764,type,
    hAPP_f617310012nt_int: ( fun_fu915505700nt_int * fun_in2124216673nt_int ) > fun_in792564872nt_int ).

tff(func_def_765,type,
    hAPP_f55007289nt_int: ( fun_fu30999661nt_int * fun_in1111845413nt_int ) > fun_in2124216673nt_int ).

tff(func_def_766,type,
    hAPP_f465821005nt_int: ( fun_fu2104383023nt_int * fun_in1111845413nt_int ) > fun_in1111845413nt_int ).

tff(func_def_767,type,
    hAPP_f142232355nt_int: ( fun_fu592252421nt_int * fun_in1111845413nt_int ) > fun_in2078400507nt_int ).

tff(func_def_768,type,
    hAPP_f2054677283nt_int: ( fun_fu1073653253nt_int * fun_in1111845413nt_int ) > fun_fu1843361787nt_int ).

tff(func_def_769,type,
    hAPP_f41603166t_bool: ( fun_fu1290768832t_bool * fun_int_fun_nat_bool ) > fun_int_bool ).

tff(func_def_770,type,
    hAPP_f252743847l_bool: ( fun_fu970548443l_bool * fun_int_fun_nat_bool ) > fun_in1678813097l_bool ).

tff(func_def_771,type,
    hAPP_f2105620693nt_int: ( fun_fu936814653nt_int * fun_int_fun_nat_int ) > fun_nat_fun_int_int ).

tff(func_def_772,type,
    hAPP_f1222178131t_bool: ( fun_fu806471093t_bool * fun_int_fun_nat_real ) > fun_int_fun_nat_bool ).

tff(func_def_773,type,
    hAPP_f1459420095t_bool: ( fun_fu963292147t_bool * fun_int_fun_nat_real ) > fun_re2063775123t_bool ).

tff(func_def_774,type,
    hAPP_f1902329768t_bool: ( fun_fu553683856t_bool * fun_in1678813097l_bool ) > fun_in319042876t_bool ).

tff(func_def_775,type,
    hAPP_f1480506641t_bool: ( fun_fu22111091t_bool * fun_int_fun_rat_bool ) > fun_rat_fun_int_bool ).

tff(func_def_776,type,
    hAPP_f1845081853t_bool: ( fun_fu1524626405t_bool * fun_in1251377736l_bool ) > fun_re546217968t_bool ).

tff(func_def_777,type,
    hAPP_f74147283t_real: ( fun_fu1275190971t_real * fun_in7315610l_real ) > fun_in1390825880t_real ).

tff(func_def_778,type,
    hAPP_f1295083291t_real: ( fun_fu860601347t_real * fun_in7315610l_real ) > fun_in464278240t_real ).

tff(func_def_779,type,
    hAPP_f202917053t_bool: ( fun_fu1374874789t_bool * fun_in938817141l_bool ) > fun_fu554825757t_bool ).

tff(func_def_780,type,
    hAPP_f472159229t_bool: ( fun_fu407119589t_bool * fun_in719570932t_bool ) > fun_fu380257692t_bool ).

tff(func_def_781,type,
    hAPP_f1878066172t_bool: ( fun_fu1359497956t_bool * fun_in719570932t_bool ) > fun_fu257678363t_bool ).

tff(func_def_782,type,
    hAPP_f735247205t_bool: ( fun_fu1131392967t_bool * fun_in67169585t_bool ) > fun_fu215647537t_bool ).

tff(func_def_783,type,
    hAPP_f808647893nt_int: ( fun_fu401420093nt_int * fun_in1797533524nt_int ) > fun_fu442799956nt_int ).

tff(func_def_784,type,
    hAPP_f960630521nt_int: ( fun_fu1080573915nt_int * fun_in2078400507nt_int ) > fun_fu1843361787nt_int ).

tff(func_def_785,type,
    hAPP_f352226557t_real: ( fun_fu2042306533t_real * fun_in1390825880t_real ) > fun_fu1656153920t_real ).

tff(func_def_786,type,
    hAPP_f1081447804nt_int: ( fun_fu1004947300nt_int * fun_in792564872nt_int ) > fun_fu2104383023nt_int ).

tff(func_def_787,type,
    hAPP_f729588221t_bool: ( fun_fu1083576549t_bool * fun_in319042876t_bool ) > fun_fu1558043364t_bool ).

tff(func_def_788,type,
    hAPP_f1720068861t_real: ( fun_fu1790089701t_real * fun_in464278240t_real ) > fun_fu692064392t_real ).

tff(func_def_789,type,
    hAPP_f400538607nt_int: ( fun_fu461997905nt_int * fun_in1211676399nt_int ) > fun_fu1123997949nt_int ).

tff(func_def_790,type,
    hAPP_f1311564564nt_int: ( fun_fu1594210934nt_int * fun_in941977532nt_int ) > fun_fu1379407829nt_int ).

tff(func_def_791,type,
    hAPP_f1582586579nt_int: ( fun_fu1857222709nt_int * fun_in941977532nt_int ) > fun_Pr1238001172nt_int ).

tff(func_def_792,type,
    hAPP_f400200275nt_int: ( fun_fu1151120955nt_int * fun_in989261322nt_int ) > fun_in792564872nt_int ).

tff(func_def_793,type,
    hAPP_f713949180nt_int: ( fun_fu1280007140nt_int * fun_in989261322nt_int ) > fun_fu1086065329nt_int ).

tff(func_def_794,type,
    hAPP_f1148171384nt_int: ( fun_fu1574148012nt_int * fun_in2003698982nt_int ) > fun_in2124216673nt_int ).

tff(func_def_795,type,
    hAPP_f1375227553nt_int: ( fun_fu1379407829nt_int * fun_in2003698982nt_int ) > fun_in989261322nt_int ).

tff(func_def_796,type,
    hAPP_f1735705551nt_int: ( fun_fu1086065329nt_int * fun_in2003698982nt_int ) > fun_in2003698982nt_int ).

tff(func_def_797,type,
    hAPP_f2002277285nt_int: ( fun_fu156492935nt_int * fun_in2003698982nt_int ) > fun_fu976112124nt_int ).

tff(func_def_798,type,
    hAPP_f213450978omplex: ( fun_fu1930053706omplex * fun_nat_complex ) > complex ).

tff(func_def_799,type,
    hAPP_f1646117269omplex: ( fun_fu521937661omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_800,type,
    hAPP_f1290670424t_real: ( fun_fu1647323910t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_801,type,
    hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).

tff(func_def_802,type,
    hAPP_f659380387ol_int: ( fun_fun_nat_bool_int * fun_nat_bool ) > int ).

tff(func_def_803,type,
    hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).

tff(func_def_804,type,
    hAPP_f1406902706l_real: ( fun_fu95670548l_real * fun_nat_bool ) > real ).

tff(func_def_805,type,
    hAPP_f289318786t_bool: ( fun_fu1558043364t_bool * fun_nat_bool ) > fun_int_fun_nat_bool ).

tff(func_def_806,type,
    hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_807,type,
    hAPP_f1146629647l_bool: ( fun_fu2104074051l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).

tff(func_def_808,type,
    hAPP_f1129044203l_real: ( fun_fu609812941l_real * fun_nat_bool ) > fun_na768876520l_real ).

tff(func_def_809,type,
    hAPP_f2119584768l_real: ( fun_fu424979764l_real * fun_nat_bool ) > fun_real_real ).

tff(func_def_810,type,
    hAPP_f1115375056t_bool: ( fun_fu1842467588t_bool * fun_nat_bool ) > fun_re2063775123t_bool ).

tff(func_def_811,type,
    hAPP_f696844121t_bool: ( fun_fu1792033211t_bool * fun_nat_bool ) > fun_fu1224477654t_bool ).

tff(func_def_812,type,
    hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).

tff(func_def_813,type,
    hAPP_f1154658180t_bool: ( fun_fu54460722t_bool * fun_nat_int ) > fun_nat_bool ).

tff(func_def_814,type,
    hAPP_f1139079189at_int: ( fun_fu2024564861at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_815,type,
    hAPP_f1935805932nt_int: ( fun_fu1086719572nt_int * fun_nat_int ) > fun_nat_fun_int_int ).

tff(func_def_816,type,
    hAPP_f1599440987ol_int: ( fun_fu2134752009ol_int * fun_nat_int ) > fun_fun_nat_bool_int ).

tff(func_def_817,type,
    hAPP_f1914919701at_nat: ( fun_fu325663101at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_818,type,
    hAPP_f1676298106t_real: ( fun_fu508603688t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_819,type,
    hAPP_f618557131t_bool: ( fun_fu717290361t_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).

tff(func_def_820,type,
    hAPP_f1639111240at_nat: ( fun_fu2064863920at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_821,type,
    hAPP_f837737749at_nat: ( fun_fu1370325315at_nat * fun_nat_nat ) > fun_na257798253at_nat ).

tff(func_def_822,type,
    hAPP_f1904307534l_real: ( fun_fu1254259254l_real * fun_nat_nat ) > fun_na182379510l_real ).

tff(func_def_823,type,
    hAPP_f66927821l_bool: ( fun_fu1585362869l_bool * fun_nat_nat ) > fun_na1436237685l_bool ).

tff(func_def_824,type,
    hAPP_f1501741374t_real: ( fun_fu393795110t_real * fun_nat_nat ) > fun_re1927296998t_real ).

tff(func_def_825,type,
    hAPP_f782000547ol_nat: ( fun_fu990052945ol_nat * fun_nat_nat ) > fun_fun_nat_bool_nat ).

tff(func_def_826,type,
    hAPP_f1585078997at_nat: ( fun_fu1179887677at_nat * fun_nat_nat ) > fun_fu325663101at_nat ).

tff(func_def_827,type,
    hAPP_f2062659861at_rat: ( fun_fu2096040829at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_828,type,
    hAPP_f1830834240at_rat: ( fun_fu1414645928at_rat * fun_nat_rat ) > fun_nat_fun_rat_rat ).

tff(func_def_829,type,
    hAPP_f352196356l_real: ( fun_fu1122561126l_real * fun_nat_real ) > real ).

tff(func_def_830,type,
    hAPP_f1613846310t_real: ( fun_fu692064392t_real * fun_nat_real ) > fun_int_fun_nat_real ).

tff(func_def_831,type,
    hAPP_f219720582omplex: ( fun_fu1853665082omplex * fun_nat_real ) > fun_nat_complex ).

tff(func_def_832,type,
    hAPP_f737665877t_bool: ( fun_fu1532576183t_bool * fun_nat_real ) > fun_nat_bool ).

tff(func_def_833,type,
    hAPP_f1888375463t_real: ( fun_fu1569755401t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_834,type,
    hAPP_f23851874omplex: ( fun_fu221716676omplex * fun_nat_real ) > fun_na1566252557omplex ).

tff(func_def_835,type,
    hAPP_f451358433l_real: ( fun_fu1634244117l_real * fun_nat_real ) > fun_na182379510l_real ).

tff(func_def_836,type,
    hAPP_f1509287679l_real: ( fun_fu705349683l_real * fun_nat_real ) > fun_fu95670548l_real ).

tff(func_def_837,type,
    hAPP_f1566856189t_real: ( fun_fu1719442527t_real * fun_nat_real ) > fun_fu508603688t_real ).

tff(func_def_838,type,
    hAPP_f561022312t_bool: ( fun_fu1901564496t_bool * fun_na1469252690l_bool ) > fun_fu821463397t_bool ).

tff(func_def_839,type,
    hAPP_f1673103573at_int: ( fun_fu368769085at_int * fun_nat_fun_int_int ) > fun_int_fun_nat_int ).

tff(func_def_840,type,
    hAPP_f292751352t_real: ( fun_fu1709053786t_real * fun_nat_fun_nat_bool ) > fun_nat_real ).

tff(func_def_841,type,
    hAPP_f229349961t_bool: ( fun_fu1733046955t_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_842,type,
    hAPP_f1505651103t_bool: ( fun_fu687803393t_bool * fun_nat_fun_nat_bool ) > fun_fu717290361t_bool ).

tff(func_def_843,type,
    hAPP_f416620757at_nat: ( fun_fu522653757at_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_844,type,
    hAPP_f1408247010at_nat: ( fun_fu1382375754at_nat * fun_nat_fun_nat_nat ) > fun_fu325663101at_nat ).

tff(func_def_845,type,
    hAPP_f1731313045at_nat: ( fun_fu1799328765at_nat * fun_nat_fun_nat_nat ) > fun_fu2064863920at_nat ).

tff(func_def_846,type,
    hAPP_f999082675at_nat: ( fun_fu202598805at_nat * fun_na257798253at_nat ) > fun_fu1370325315at_nat ).

tff(func_def_847,type,
    hAPP_f1131305186at_rat: ( fun_fu941266250at_rat * fun_nat_fun_rat_rat ) > fun_fu2096040829at_rat ).

tff(func_def_848,type,
    hAPP_f1052840010omplex: ( fun_fu1913390252omplex * fun_na1566252557omplex ) > fun_fu1853665082omplex ).

tff(func_def_849,type,
    hAPP_f42270917t_real: ( fun_fu513207213t_real * fun_na182379510l_real ) > fun_re1927296998t_real ).

tff(func_def_850,type,
    hAPP_f224989205l_real: ( fun_fu658053629l_real * fun_na182379510l_real ) > fun_fu1254259254l_real ).

tff(func_def_851,type,
    hAPP_f197615720t_real: ( fun_fu247819600t_real * fun_na182379510l_real ) > fun_fu1569755401t_real ).

tff(func_def_852,type,
    hAPP_f2126667875l_real: ( fun_fu93779013l_real * fun_na768876520l_real ) > fun_re1191071736l_real ).

tff(func_def_853,type,
    hAPP_f335634176l_real: ( fun_fu385122018l_real * fun_na768876520l_real ) > fun_fu1634244117l_real ).

tff(func_def_854,type,
    hAPP_f1722879237t_bool: ( fun_fu80187629t_bool * fun_na1436237685l_bool ) > fun_fu821463397t_bool ).

tff(func_def_855,type,
    hAPP_f2037783381l_bool: ( fun_fu1597390397l_bool * fun_na1436237685l_bool ) > fun_fu1585362869l_bool ).

tff(func_def_856,type,
    hAPP_f73570213t_real: ( fun_fu2095711751t_real * fun_na1745536976l_real ) > fun_nat_real ).

tff(func_def_857,type,
    hAPP_f1131424617t_bool: ( fun_fu1989863883t_bool * fun_rat_bool ) > fun_fu1017341406t_bool ).

tff(func_def_858,type,
    hAPP_f374502857t_bool: ( fun_fu1988341163t_bool * fun_rat_bool ) > fun_fu1530049726t_bool ).

tff(func_def_859,type,
    hAPP_f1082758869at_rat: ( fun_fu513399869at_rat * fun_rat_rat ) > fun_fu2096040829at_rat ).

tff(func_def_860,type,
    hAPP_f857296063t_bool: ( fun_fu305882913t_bool * fun_rat_fun_rat_bool ) > fun_fu976280201t_bool ).

tff(func_def_861,type,
    hAPP_f1073644437at_rat: ( fun_fu474013181at_rat * fun_rat_fun_rat_rat ) > fun_fu1414645928at_rat ).

tff(func_def_862,type,
    hAPP_f1501066425l_bool: ( fun_fu586093159l_bool * fun_real_bool ) > bool ).

tff(func_def_863,type,
    hAPP_f1861673493l_bool: ( fun_fu1710568445l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_864,type,
    hAPP_f60716669l_bool: ( fun_fu1709962923l_bool * fun_real_bool ) > fun_re1114994977l_bool ).

tff(func_def_865,type,
    hAPP_f1607917947l_real: ( fun_fu380422627l_real * fun_real_bool ) > fun_re1761459671l_real ).

tff(func_def_866,type,
    hAPP_f1173902867t_bool: ( fun_fu1716408315t_bool * fun_real_bool ) > fun_fu2100483183t_bool ).

tff(func_def_867,type,
    hAPP_f605995867t_bool: ( fun_fu1635948867t_bool * fun_real_bool ) > fun_fu1532576183t_bool ).

tff(func_def_868,type,
    hAPP_f824790735l_bool: ( fun_fu1929568823l_bool * fun_real_bool ) > fun_fu192063275l_bool ).

tff(func_def_869,type,
    hAPP_f1402056515l_bool: ( fun_fu192063275l_bool * fun_real_real ) > fun_real_bool ).

tff(func_def_870,type,
    hAPP_f1950183573l_real: ( fun_fu1564476029l_real * fun_real_real ) > fun_real_real ).

tff(func_def_871,type,
    hAPP_f1407095736t_real: ( fun_fu1362233248t_real * fun_real_real ) > fun_re1927296998t_real ).

tff(func_def_872,type,
    hAPP_f1393328161l_bool: ( fun_fu736357967l_bool * fun_real_real ) > fun_re413263731l_bool ).

tff(func_def_873,type,
    hAPP_f556082547l_real: ( fun_fu2120820641l_real * fun_real_real ) > fun_re229243589l_real ).

tff(func_def_874,type,
    hAPP_f1591894897l_real: ( fun_fu1950887583l_real * fun_real_real ) > fun_re1550493891l_real ).

tff(func_def_875,type,
    hAPP_f617735571l_real: ( fun_fu1074458747l_real * fun_real_real ) > fun_re785671361l_real ).

tff(func_def_876,type,
    hAPP_f766218899t_real: ( fun_fu2064567419t_real * fun_real_real ) > fun_fu645688257t_real ).

tff(func_def_877,type,
    hAPP_f1690286043t_real: ( fun_fu1138019779t_real * fun_real_real ) > fun_fu1569755401t_real ).

tff(func_def_878,type,
    hAPP_f1992866895l_real: ( fun_fu1877413815l_real * fun_real_real ) > fun_fu1564476029l_real ).

tff(func_def_879,type,
    hAPP_f1010710745l_bool: ( fun_fu1882383245l_bool * fun_re1114994977l_bool ) > fun_fu1710568445l_bool ).

tff(func_def_880,type,
    hAPP_f101635158l_bool: ( fun_fu370089278l_bool * fun_re546217968t_bool ) > fun_real_bool ).

tff(func_def_881,type,
    hAPP_f1625314454t_bool: ( fun_fu1197312126t_bool * fun_re386138607t_bool ) > fun_re546217968t_bool ).

tff(func_def_882,type,
    hAPP_f381769257l_bool: ( fun_fu1562258007l_bool * fun_re386138607t_bool ) > fun_re1598305103l_bool ).

tff(func_def_883,type,
    hAPP_f1063001928t_bool: ( fun_fu454443562t_bool * fun_re1598305103l_bool ) > fun_re1979725814t_bool ).

tff(func_def_884,type,
    hAPP_f1341793266t_bool: ( fun_fu913790938t_bool * fun_re2063775123t_bool ) > fun_re546217968t_bool ).

tff(func_def_885,type,
    hAPP_f834119977l_bool: ( fun_fu725782359l_bool * fun_re2063775123t_bool ) > fun_re1564496555l_bool ).

tff(func_def_886,type,
    hAPP_f2084827628t_bool: ( fun_fu920514766t_bool * fun_re1564496555l_bool ) > fun_re506364222t_bool ).

tff(func_def_887,type,
    hAPP_f704188951t_bool: ( fun_fu2018039801t_bool * fun_re1979725814t_bool ) > fun_re1058169246t_bool ).

tff(func_def_888,type,
    hAPP_f1927674023t_bool: ( fun_fu1124178569t_bool * fun_re506364222t_bool ) > fun_re507499238t_bool ).

tff(func_def_889,type,
    hAPP_f248847589l_real: ( fun_fu1177681869l_real * fun_re1927296998t_real ) > fun_na182379510l_real ).

tff(func_def_890,type,
    hAPP_f1122023986l_real: ( fun_fu1496793882l_real * fun_re1927296998t_real ) > fun_real_real ).

tff(func_def_891,type,
    hAPP_f1993765077t_real: ( fun_fu317217725t_real * fun_re1927296998t_real ) > fun_re1927296998t_real ).

tff(func_def_892,type,
    hAPP_f1523861863l_real: ( fun_fu46447509l_real * fun_re1927296998t_real ) > fun_re1879328022l_real ).

tff(func_def_893,type,
    hAPP_f1163894827t_real: ( fun_fu1294731027t_real * fun_re1927296998t_real ) > fun_re573205052t_real ).

tff(func_def_894,type,
    hAPP_f1796904975t_real: ( fun_fu1315898487t_real * fun_re1927296998t_real ) > fun_fu1362233248t_real ).

tff(func_def_895,type,
    hAPP_f406530075omplex: ( fun_fu402939139omplex * fun_re398676606omplex ) > fun_fu221716676omplex ).

tff(func_def_896,type,
    hAPP_f695504873l_bool: ( fun_fu2054751691l_bool * fun_re413263731l_bool ) > fun_re413263731l_bool ).

tff(func_def_897,type,
    hAPP_f517738447l_real: ( fun_fu746286897l_real * fun_re413263731l_bool ) > fun_re69907033l_real ).

tff(func_def_898,type,
    hAPP_f1920544743t_bool: ( fun_fu1206934473t_bool * fun_re413263731l_bool ) > fun_re1171866993t_bool ).

tff(func_def_899,type,
    hAPP_f1840085295t_bool: ( fun_fu2131001617t_bool * fun_re413263731l_bool ) > fun_re1091407545t_bool ).

tff(func_def_900,type,
    hAPP_f499530369l_bool: ( fun_fu1429059939l_bool * fun_re413263731l_bool ) > fun_fu1898336267l_bool ).

tff(func_def_901,type,
    hAPP_f1900646853l_bool: ( fun_fu987960615l_bool * fun_re413263731l_bool ) > fun_fu736357967l_bool ).

tff(func_def_902,type,
    hAPP_f203520653l_real: ( fun_fu888010351l_real * fun_re229243589l_real ) > fun_re229243589l_real ).

tff(func_def_903,type,
    hAPP_f1732848529l_real: ( fun_fu1091783237l_real * fun_re229243589l_real ) > fun_re1227808089l_real ).

tff(func_def_904,type,
    hAPP_f823702159l_real: ( fun_fu1972234819l_real * fun_re229243589l_real ) > fun_re665330775l_real ).

tff(func_def_905,type,
    hAPP_f320596107l_real: ( fun_fu2022215021l_real * fun_re229243589l_real ) > fun_re1550493891l_real ).

tff(func_def_906,type,
    hAPP_f318350629l_real: ( fun_fu733030919l_real * fun_re229243589l_real ) > fun_fu859852125l_real ).

tff(func_def_907,type,
    hAPP_f1092742621l_real: ( fun_fu349214399l_real * fun_re229243589l_real ) > fun_fu1634244117l_real ).

tff(func_def_908,type,
    hAPP_f2069516469l_real: ( fun_fu647765353l_real * fun_re229243589l_real ) > fun_fu1564476029l_real ).

tff(func_def_909,type,
    hAPP_f1960414057l_real: ( fun_fu1211077835l_real * fun_re229243589l_real ) > fun_fu2120820641l_real ).

tff(func_def_910,type,
    hAPP_f1644353557l_real: ( fun_fu459852413l_real * fun_re1227808089l_real ) > fun_re1227808089l_real ).

tff(func_def_911,type,
    hAPP_f1108539711l_real: ( fun_fu480930797l_real * fun_re665330775l_real ) > fun_re955532029l_real ).

tff(func_def_912,type,
    hAPP_f1161935955l_real: ( fun_fu1697185671l_real * fun_re69907033l_real ) > fun_re1414183599l_real ).

tff(func_def_913,type,
    hAPP_f1663701695l_real: ( fun_fu45718637l_real * fun_re10870101l_real ) > fun_re1233422975l_real ).

tff(func_def_914,type,
    hAPP_f1884005689l_bool: ( fun_fu2107306267l_bool * fun_re1550493891l_real ) > fun_re413263731l_bool ).

tff(func_def_915,type,
    hAPP_f324002831l_real: ( fun_fu1403389123l_real * fun_re1550493891l_real ) > fun_re10870101l_real ).

tff(func_def_916,type,
    hAPP_f2072293513l_real: ( fun_fu1771472235l_real * fun_re1550493891l_real ) > fun_re1550493891l_real ).

tff(func_def_917,type,
    hAPP_f1119546819l_real: ( fun_fu477462821l_real * fun_re1550493891l_real ) > fun_re955532029l_real ).

tff(func_def_918,type,
    hAPP_f2114902373l_real: ( fun_fu1716108231l_real * fun_re1550493891l_real ) > fun_fu1950887583l_real ).

tff(func_def_919,type,
    hAPP_f1730463541l_real: ( fun_fu1698495721l_real * fun_re1550493891l_real ) > fun_fu1074458747l_real ).

tff(func_def_920,type,
    hAPP_f1990636069t_bool: ( fun_fu963880199t_bool * fun_re1058169246t_bool ) > fun_fu1107106820t_bool ).

tff(func_def_921,type,
    hAPP_f332806115t_bool: ( fun_fu1212385221t_bool * fun_re1171866993t_bool ) > fun_re521366895t_bool ).

tff(func_def_922,type,
    hAPP_f422375781t_bool: ( fun_fu266677575t_bool * fun_re521366895t_bool ) > fun_fu1154989811t_bool ).

tff(func_def_923,type,
    hAPP_f693283245t_bool: ( fun_fu727999887t_bool * fun_re811280567t_bool ) > fun_fu963292147t_bool ).

tff(func_def_924,type,
    hAPP_f59594445l_real: ( fun_fu2028862895l_real * fun_re1879328022l_real ) > fun_fu424979764l_real ).

tff(func_def_925,type,
    hAPP_f271976045t_bool: ( fun_fu1175943503t_bool * fun_re507499238t_bool ) > fun_fu1842467588t_bool ).

tff(func_def_926,type,
    hAPP_f1135648319t_real: ( fun_fu2073566759t_real * fun_re573205052t_real ) > fun_fu393795110t_real ).

tff(func_def_927,type,
    hAPP_f77155443t_bool: ( fun_fu1045264469t_bool * fun_re1091407545t_bool ) > fun_re811280567t_bool ).

tff(func_def_928,type,
    hAPP_f644105375l_real: ( fun_fu1523905537l_real * fun_re955532029l_real ) > fun_fu1950887583l_real ).

tff(func_def_929,type,
    hAPP_f850851693l_real: ( fun_fu1613343649l_real * fun_re955532029l_real ) > fun_fu2022215021l_real ).

tff(func_def_930,type,
    hAPP_f677014621l_real: ( fun_fu1574854795l_real * fun_re1414183599l_real ) > fun_fu1403389123l_real ).

tff(func_def_931,type,
    hAPP_f1763467369l_real: ( fun_fu1943305629l_real * fun_re1233422975l_real ) > fun_fu1771472235l_real ).

tff(func_def_932,type,
    hAPP_f183342685l_real: ( fun_fu209750539l_real * fun_re1761459671l_real ) > fun_fu1617913499l_real ).

tff(func_def_933,type,
    hAPP_f1908301369l_real: ( fun_fu2079587053l_real * fun_re923322561l_real ) > fun_fu1589711101l_real ).

tff(func_def_934,type,
    hAPP_f330985925l_bool: ( fun_fu1280874925l_bool * fun_re785671361l_real ) > fun_real_bool ).

tff(func_def_935,type,
    hAPP_f1293550189l_real: ( fun_fu1617913499l_real * fun_re785671361l_real ) > fun_re923322561l_real ).

tff(func_def_936,type,
    hAPP_f1736103445l_real: ( fun_fu1589711101l_real * fun_re785671361l_real ) > fun_re785671361l_real ).

tff(func_def_937,type,
    hAPP_f800361423l_real: ( fun_fu383125559l_real * fun_re785671361l_real ) > fun_fu1074458747l_real ).

tff(func_def_938,type,
    hAPP_f538565589t_bool: ( fun_fu1620940093t_bool * fun_fu1909738875t_bool ) > fun_fu2032273339t_bool ).

tff(func_def_939,type,
    hAPP_f1273270095t_bool: ( fun_fu1991142839t_bool * fun_fu201758811t_bool ) > fun_fu1119133205t_bool ).

tff(func_def_940,type,
    hAPP_f215623910l_bool: ( fun_fu1540142484l_bool * fun_fu819804446l_bool ) > bool ).

tff(func_def_941,type,
    hAPP_f521865025ol_nat: ( fun_fu236049833ol_nat * fun_fu819804446l_bool ) > nat ).

tff(func_def_942,type,
    hAPP_f423804115t_bool: ( fun_fu1671602619t_bool * fun_fu819804446l_bool ) > fun_fu1221449756t_bool ).

tff(func_def_943,type,
    hAPP_f1925507189l_bool: ( fun_fu539349981l_bool * fun_fu819804446l_bool ) > fun_fu370089278l_bool ).

tff(func_def_944,type,
    hAPP_f93439879ol_nat: ( fun_fu1721998267ol_nat * fun_fun_int_bool_nat ) > fun_fu236049833ol_nat ).

tff(func_def_945,type,
    hAPP_f654702867t_bool: ( fun_fu1521371387t_bool * fun_fu554825757t_bool ) > fun_fu257678363t_bool ).

tff(func_def_946,type,
    hAPP_f1830214065l_bool: ( fun_fu1154412947l_bool * fun_fu610077323l_bool ) > fun_fu1230750243l_bool ).

tff(func_def_947,type,
    hAPP_f1475822739t_bool: ( fun_fu393805435t_bool * fun_fu2112913523t_bool ) > fun_fu1904575089t_bool ).

tff(func_def_948,type,
    hAPP_f908327869t_bool: ( fun_fu1541392415t_bool * fun_fu205926450t_bool ) > fun_fu326650760t_bool ).

tff(func_def_949,type,
    hAPP_f983569339t_bool: ( fun_fu2037535261t_bool * fun_fu215647537t_bool ) > fun_fu1415391623t_bool ).

tff(func_def_950,type,
    hAPP_f1228585167nt_int: ( fun_fu1111569329nt_int * fun_fu1843361787nt_int ) > fun_fu1521692625nt_int ).

tff(func_def_951,type,
    hAPP_f888249301nt_int: ( fun_fu100404029nt_int * fun_fu1480724285nt_int ) > fun_fu1409241085nt_int ).

tff(func_def_952,type,
    hAPP_f1151807883nt_int: ( fun_fu1720497139nt_int * fun_fu2013528197nt_int ) > fun_fu371616507nt_int ).

tff(func_def_953,type,
    hAPP_f1576199059t_bool: ( fun_fu916648827t_bool * fun_fu2100483183t_bool ) > fun_fu146728557t_bool ).

tff(func_def_954,type,
    hAPP_f85237525t_bool: ( fun_fu1320545917t_bool * fun_fu587508068t_bool ) > fun_fu1269744292t_bool ).

tff(func_def_955,type,
    hAPP_f340152631t_bool: ( fun_fu985846175t_bool * fun_fu1221449756t_bool ) > fun_fu1197312126t_bool ).

tff(func_def_956,type,
    hAPP_f847817363t_bool: ( fun_fu1186009211t_bool * fun_fu257678363t_bool ) > fun_fu579242521t_bool ).

tff(func_def_957,type,
    hAPP_f512004221l_bool: ( fun_fu416675807l_bool * fun_fu1230750243l_bool ) > fun_fu1562258007l_bool ).

tff(func_def_958,type,
    hAPP_f2050994651t_bool: ( fun_fu1814137539t_bool * fun_fu1269744292t_bool ) > fun_fu454443562t_bool ).

tff(func_def_959,type,
    hAPP_f534361363nt_int: ( fun_fu1570293243nt_int * fun_fu2104383023nt_int ) > fun_fu1504258989nt_int ).

tff(func_def_960,type,
    hAPP_f571820015t_bool: ( fun_fu1743247959t_bool * fun_fu1290768832t_bool ) > fun_fu913790938t_bool ).

tff(func_def_961,type,
    hAPP_f848516149l_bool: ( fun_fu386022295l_bool * fun_fu970548443l_bool ) > fun_fu725782359l_bool ).

tff(func_def_962,type,
    hAPP_f1121609875t_bool: ( fun_fu1082601339t_bool * fun_fu553683856t_bool ) > fun_fu920514766t_bool ).

tff(func_def_963,type,
    hAPP_f1456711209t_bool: ( fun_fu429916689t_bool * fun_fu407119589t_bool ) > fun_fu2018039801t_bool ).

tff(func_def_964,type,
    hAPP_f1261108921t_bool: ( fun_fu10424993t_bool * fun_fu1083576549t_bool ) > fun_fu1124178569t_bool ).

tff(func_def_965,type,
    hAPP_f197974549nt_int: ( fun_fu256365437nt_int * fun_fu1280007140nt_int ) > fun_fu915505700nt_int ).

tff(func_def_966,type,
    hAPP_f747475781nt_int: ( fun_fu200534695nt_int * fun_fu1379407829nt_int ) > fun_fu30999661nt_int ).

tff(func_def_967,type,
    hAPP_f1377453843nt_int: ( fun_fu1667083259nt_int * fun_fu156492935nt_int ) > fun_fu592252421nt_int ).

tff(func_def_968,type,
    hAPP_f389116883t_bool: ( fun_fu1258735291t_bool * fun_fu425979586l_bool ) > fun_fu1290768832t_bool ).

tff(func_def_969,type,
    hAPP_f1607377819t_real: ( fun_fu600511107t_real * fun_fu95670548l_real ) > fun_fu1709053786t_real ).

tff(func_def_970,type,
    hAPP_f643658017l_bool: ( fun_fu805285123l_bool * fun_fu2104074051l_bool ) > fun_fu970548443l_bool ).

tff(func_def_971,type,
    hAPP_f1786887945l_real: ( fun_fu1694240369l_real * fun_fu1122561126l_real ) > fun_fu1496793882l_real ).

tff(func_def_972,type,
    hAPP_f743790483t_bool: ( fun_fu1861895035t_bool * fun_fu1532576183t_bool ) > fun_fu806471093t_bool ).

tff(func_def_973,type,
    hAPP_f895854793t_real: ( fun_fu59052337t_real * fun_fu1569755401t_real ) > fun_fu317217725t_real ).

tff(func_def_974,type,
    hAPP_f1067681227l_real: ( fun_fu1735231789l_real * fun_fu705349683l_real ) > fun_fu46447509l_real ).

tff(func_def_975,type,
    hAPP_f1998755145t_real: ( fun_fu739403697t_real * fun_fu1719442527t_real ) > fun_fu1294731027t_real ).

tff(func_def_976,type,
    hAPP_f1182713365t_bool: ( fun_fu1743937405t_bool * fun_fu1901564496t_bool ) > fun_fu553683856t_bool ).

tff(func_def_977,type,
    hAPP_f1879982819l_real: ( fun_fu1466819147l_real * fun_fu380422627l_real ) > fun_fu746286897l_real ).

tff(func_def_978,type,
    hAPP_f866672739t_bool: ( fun_fu150535243t_bool * fun_fu1716408315t_bool ) > fun_fu1206934473t_bool ).

tff(func_def_979,type,
    hAPP_f1083049571t_bool: ( fun_fu663780939t_bool * fun_fu1635948867t_bool ) > fun_fu2131001617t_bool ).

tff(func_def_980,type,
    hAPP_f1310479593l_real: ( fun_fu778540235l_real * fun_fu2120820641l_real ) > fun_fu1091783237l_real ).

tff(func_def_981,type,
    hAPP_f1040184293l_real: ( fun_fu392137927l_real * fun_fu1950887583l_real ) > fun_fu1972234819l_real ).

tff(func_def_982,type,
    hAPP_f1169087445t_real: ( fun_fu2147105085t_real * fun_fu2064567419t_real ) > fun_fu1275190971t_real ).

tff(func_def_983,type,
    hAPP_f212164053t_real: ( fun_fu692492093t_real * fun_fu1138019779t_real ) > fun_fu860601347t_real ).

tff(func_def_984,type,
    hAPP_f1874145443l_real: ( fun_fu411523851l_real * fun_fu888010351l_real ) > fun_fu459852413l_real ).

tff(func_def_985,type,
    hAPP_f1109256153l_real: ( fun_fu463555643l_real * fun_fu1698495721l_real ) > fun_fu480930797l_real ).

tff(func_def_986,type,
    hAPP_f328572565l_real: ( fun_fu2027257463l_real * fun_fu209750539l_real ) > fun_fu1697185671l_real ).

tff(func_def_987,type,
    hAPP_f774948957l_real: ( fun_fu1140645055l_real * fun_fu2079587053l_real ) > fun_fu45718637l_real ).

tff(func_def_988,type,
    hAPP_f172451459l_bool: ( fun_fu2024625515l_bool * fun_fu1280874925l_bool ) > fun_fu2107306267l_bool ).

tff(func_def_989,type,
    hAPP_f555557763l_real: ( fun_fu887818731l_real * fun_fu383125559l_real ) > fun_fu477462821l_real ).

tff(func_def_990,type,
    hAPP_f1177545951t_bool: ( fun_fu1988342983t_bool * fun_fu916648827t_bool ) > fun_fu1212385221t_bool ).

tff(func_def_991,type,
    hAPP_f403082607t_bool: ( fun_fu1229655383t_bool * fun_fu1861895035t_bool ) > fun_fu1045264469t_bool ).

tff(func_def_992,type,
    hAPP_f326728547t_bool: ( fun_fu1074799947t_bool * fun_fu2112443261t_bool ) > fun_fu1859693515t_bool ).

tff(func_def_993,type,
    hAPP_f2042071795t_bool: ( fun_fu1389550933t_bool * fun_fu686082665t_bool ) > fun_fu550659463t_bool ).

tff(func_def_994,type,
    hAPP_f1815301987t_bool: ( fun_fu1020737221t_bool * fun_fu581830891t_bool ) > fun_fu694788213t_bool ).

tff(func_def_995,type,
    hAPP_f1731308757nt_int: ( fun_fu751079485nt_int * fun_fu2102390523nt_int ) > fun_fu1151120955nt_int ).

tff(func_def_996,type,
    hAPP_f237669397t_bool: ( fun_fu2112443261t_bool * fun_Pr974702441t_bool ) > fun_Pr974702441t_bool ).

tff(func_def_997,type,
    hAPP_f365317245l_bool: ( fun_fu1128560427l_bool * fun_Pr974702441t_bool ) > fun_Pr189909033l_bool ).

tff(func_def_998,type,
    hAPP_f892584630t_bool: ( fun_fu1337909610t_bool * fun_Pr480351984nt_int ) > fun_Pr974702441t_bool ).

tff(func_def_999,type,
    hAPP_f521271395nt_int: ( fun_fu1494809157nt_int * fun_Pr480351984nt_int ) > fun_Pr480351984nt_int ).

tff(func_def_1000,type,
    hAPP_f1065357839nt_rat: ( fun_fu1186790897nt_rat * fun_Pr480351984nt_int ) > fun_Pr1024438428nt_rat ).

tff(func_def_1001,type,
    hAPP_f291087797t_bool: ( fun_fu686082665t_bool * fun_Pr480351984nt_int ) > fun_Pr1149636328t_bool ).

tff(func_def_1002,type,
    hAPP_f1855025978nt_int: ( fun_fu693994524nt_int * fun_Pr480351984nt_int ) > fun_Pr2134412615nt_int ).

tff(func_def_1003,type,
    hAPP_f1547007718nt_rat: ( fun_fu1407349192nt_rat * fun_Pr480351984nt_int ) > fun_Pr1826394355nt_rat ).

tff(func_def_1004,type,
    hAPP_f167782601nt_int: ( fun_fu1123997949nt_int * fun_Pr480351984nt_int ) > fun_Pr2144253564nt_int ).

tff(func_def_1005,type,
    hAPP_f1084724746t_bool: ( fun_fu1530049726t_bool * fun_Pr1024438428nt_rat ) > fun_Pr974702441t_bool ).

tff(func_def_1006,type,
    hAPP_f461489489t_bool: ( fun_fu1257888773t_bool * fun_Pr189909033l_bool ) > fun_fu2112443261t_bool ).

tff(func_def_1007,type,
    hAPP_f1965248563t_bool: ( fun_fu1119133205t_bool * fun_Pr189909033l_bool ) > fun_Pr1254492423t_bool ).

tff(func_def_1008,type,
    hAPP_f2018027565t_bool: ( fun_fu1940123285t_bool * fun_Pr1149636328t_bool ) > fun_in1698189120t_bool ).

tff(func_def_1009,type,
    hAPP_f1325804733t_bool: ( fun_fu581830891t_bool * fun_Pr1149636328t_bool ) > fun_fu1337909610t_bool ).

tff(func_def_1010,type,
    hAPP_f578362681nt_int: ( fun_fu179687707nt_int * fun_Pr2134412615nt_int ) > fun_in1211676399nt_int ).

tff(func_def_1011,type,
    hAPP_f1914742907nt_int: ( fun_fu1660428975nt_int * fun_Pr2134412615nt_int ) > fun_fu1494809157nt_int ).

tff(func_def_1012,type,
    hAPP_f301246617nt_int: ( fun_fu371616507nt_int * fun_Pr2134412615nt_int ) > fun_Pr642042703nt_int ).

tff(func_def_1013,type,
    hAPP_f1120137083nt_rat: ( fun_fu1887196079nt_rat * fun_Pr1826394355nt_rat ) > fun_fu1186790897nt_rat ).

tff(func_def_1014,type,
    hAPP_f334321603nt_int: ( fun_fu731020837nt_int * fun_Pr1238001172nt_int ) > fun_fu1574148012nt_int ).

tff(func_def_1015,type,
    hAPP_f125837377t_bool: ( fun_fu620454517t_bool * fun_Pr1254492423t_bool ) > fun_fu1859693515t_bool ).

tff(func_def_1016,type,
    hAPP_f11709033t_bool: ( fun_fu2062813463t_bool * fun_Pr755126262t_bool ) > fun_fu104040328t_bool ).

tff(func_def_1017,type,
    hAPP_f1769710159nt_int: ( fun_fu1223580849nt_int * fun_Pr642042703nt_int ) > fun_fu1123997949nt_int ).

tff(func_def_1018,type,
    hAPP_f1781059817t_bool: ( fun_fu1859693515t_bool * fun_Pr313471731t_bool ) > fun_Pr313471731t_bool ).

tff(func_def_1019,type,
    hAPP_f1187443546t_bool: ( fun_fu104040328t_bool * fun_Pr2144253564nt_int ) > fun_Pr313471731t_bool ).

tff(func_def_1020,type,
    hAPP_f1198736473t_bool: ( fun_fu550659463t_bool * fun_Pr2144253564nt_int ) > fun_Pr820506994t_bool ).

tff(func_def_1021,type,
    hAPP_f223623489t_bool: ( fun_fu694788213t_bool * fun_Pr820506994t_bool ) > fun_Pr755126262t_bool ).

tff(func_def_1022,type,
    hAPP_f151095827nt_int: ( fun_fu2102390523nt_int * fun_Pr241715507nt_int ) > fun_fu1086065329nt_int ).

tff(func_def_1023,type,
    hAPP_f940061907l_bool: ( fun_fu223014715l_bool * fun_Pr1127657839l_bool ) > fun_fu1280874925l_bool ).

tff(func_def_1024,type,
    hAPP_f918606171t_real: ( fun_fu1983483971t_real * fun_Pr608224961l_real ) > fun_fu2095711751t_real ).

tff(func_def_1025,type,
    hAPP_f1469637905l_bool: ( fun_fu2145628351l_bool * fun_Pr4007113l_bool ) > bool ).

tff(func_def_1026,type,
    hAPP_f526364711l_bool: ( fun_fu1202355157l_bool * fun_Pr1333588703t_bool ) > bool ).

tff(func_def_1027,type,
    hAPP_f115998247l_bool: ( fun_fu791988693l_bool * fun_Pr587612383t_bool ) > bool ).

tff(func_def_1028,type,
    hAPP_P603027463t_bool: ( fun_Pr974702441t_bool * product_prod_int_int ) > bool ).

tff(func_def_1029,type,
    hAPP_P1175774780nt_int: ( fun_Pr480351984nt_int * product_prod_int_int ) > int ).

tff(func_def_1030,type,
    hAPP_P1853363688nt_rat: ( fun_Pr1024438428nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1031,type,
    hAPP_P921862901l_bool: ( fun_Pr189909033l_bool * product_prod_int_int ) > fun_bool_bool ).

tff(func_def_1032,type,
    hAPP_P252494982t_bool: ( fun_Pr1149636328t_bool * product_prod_int_int ) > fun_int_bool ).

tff(func_def_1033,type,
    hAPP_P2110489235nt_int: ( fun_Pr2134412615nt_int * product_prod_int_int ) > fun_int_int ).

tff(func_def_1034,type,
    hAPP_P507092031nt_rat: ( fun_Pr1826394355nt_rat * product_prod_int_int ) > fun_int_rat ).

tff(func_def_1035,type,
    hAPP_P621635040nt_int: ( fun_Pr1238001172nt_int * product_prod_int_int ) > fun_in989261322nt_int ).

tff(func_def_1036,type,
    hAPP_P877703507t_bool: ( fun_Pr1254492423t_bool * product_prod_int_int ) > fun_fu2112443261t_bool ).

tff(func_def_1037,type,
    hAPP_P1400155668t_bool: ( fun_Pr755126262t_bool * product_prod_int_int ) > fun_fu1337909610t_bool ).

tff(func_def_1038,type,
    hAPP_P752050971nt_int: ( fun_Pr642042703nt_int * product_prod_int_int ) > fun_fu1494809157nt_int ).

tff(func_def_1039,type,
    hAPP_P989584703t_bool: ( fun_Pr313471731t_bool * product_prod_int_int ) > fun_Pr974702441t_bool ).

tff(func_def_1040,type,
    hAPP_P1668131738nt_int: ( fun_Pr2144253564nt_int * product_prod_int_int ) > fun_Pr480351984nt_int ).

tff(func_def_1041,type,
    hAPP_P2053772734t_bool: ( fun_Pr820506994t_bool * product_prod_int_int ) > fun_Pr1149636328t_bool ).

tff(func_def_1042,type,
    hAPP_P1145851913nt_int: ( fun_Pr1580971581nt_int * product_prod_int_int ) > fun_Pr241715507nt_int ).

tff(func_def_1043,type,
    hAPP_P941956607nt_int: ( fun_Pr668393395nt_int * product_prod_int_int ) > fun_Pr29212713nt_int ).

tff(func_def_1044,type,
    hAPP_P1975530577nt_int: ( fun_Pr241715507nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1045,type,
    hAPP_P408881810nt_int: ( fun_Pr1076553414nt_int * product_prod_int_int ) > produc393999548nt_int ).

tff(func_def_1046,type,
    hAPP_P230595783nt_int: ( fun_Pr29212713nt_int * product_prod_int_int ) > produc1137372701nt_int ).

tff(func_def_1047,type,
    hAPP_P1555980039t_bool: ( fun_Pr1927655017t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1048,type,
    hAPP_P1654798560at_nat: ( fun_Pr1434736532at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1049,type,
    hAPP_P402336767at_nat: ( fun_Pr1071803827at_nat * product_prod_nat_nat ) > fun_Pr1858073897at_nat ).

tff(func_def_1050,type,
    hAPP_P1586233937at_nat: ( fun_Pr426809139at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1051,type,
    hAPP_P369611207at_nat: ( fun_Pr1858073897at_nat * product_prod_nat_nat ) > produc1322466333at_nat ).

tff(func_def_1052,type,
    hAPP_P1333854989l_bool: ( fun_Pr1127657839l_bool * produc914805421l_real ) > bool ).

tff(func_def_1053,type,
    hAPP_P731461727l_real: ( fun_Pr608224961l_real * produc914805421l_real ) > real ).

tff(func_def_1054,type,
    hAPP_P1982799375l_real: ( fun_Pr1283822147l_real * produc914805421l_real ) > fun_Pr1375198143l_real ).

tff(func_def_1055,type,
    hAPP_P1860904029l_real: ( fun_Pr1375198143l_real * produc914805421l_real ) > produc914805421l_real ).

tff(func_def_1056,type,
    hAPP_P880235623l_bool: ( fun_Pr4007113l_bool * produc1450482951t_bool ) > bool ).

tff(func_def_1057,type,
    hAPP_P1681069257l_bool: ( fun_Pr1669804459l_bool * produc1450482951t_bool ) > fun_fu2145628351l_bool ).

tff(func_def_1058,type,
    hAPP_P62333565t_bool: ( fun_Pr1333588703t_bool * produc1137372701nt_int ) > bool ).

tff(func_def_1059,type,
    hAPP_P1062890741l_bool: ( fun_Pr1020157655l_bool * produc1137372701nt_int ) > fun_fu1202355157l_bool ).

tff(func_def_1060,type,
    hAPP_P1463840893t_bool: ( fun_Pr587612383t_bool * produc1322466333at_nat ) > bool ).

tff(func_def_1061,type,
    hAPP_P1876494581l_bool: ( fun_Pr822475479l_bool * produc1322466333at_nat ) > fun_fu791988693l_bool ).

tff(func_def_1062,type,
    member_int: fun_in938817141l_bool ).

tff(func_def_1063,type,
    member_nat: fun_na1436237685l_bool ).

tff(func_def_1064,type,
    member_real: fun_re1865242107l_bool ).

tff(func_def_1065,type,
    member_fun_int_bool: fun_fu1637550549l_bool ).

tff(func_def_1066,type,
    member308914164t_bool: fun_Pr1669804459l_bool ).

tff(func_def_1067,type,
    member2143287562nt_int: fun_Pr1020157655l_bool ).

tff(func_def_1068,type,
    member180897546at_nat: fun_Pr822475479l_bool ).

tff(func_def_1069,type,
    m: int ).

tff(func_def_1070,type,
    m1: int ).

tff(func_def_1071,type,
    n: nat ).

tff(func_def_1072,type,
    r: int ).

tff(func_def_1073,type,
    s1: int ).

tff(func_def_1074,type,
    s: int ).

tff(func_def_1075,type,
    sa: int ).

tff(func_def_1076,type,
    t: int ).

tff(func_def_1077,type,
    tn: nat ).

tff(func_def_1078,type,
    v: int ).

tff(func_def_1079,type,
    w: int ).

tff(func_def_1080,type,
    x: int ).

tff(func_def_1081,type,
    y: int ).

tff(func_def_1082,type,
    sK3: ( fun_int_bool * int ) > int ).

tff(func_def_1083,type,
    sK4: ( fun_int_bool * int ) > int ).

tff(func_def_1084,type,
    sK5: ( fun_int_bool * int ) > int ).

tff(func_def_1085,type,
    sK6: int > nat ).

tff(func_def_1086,type,
    sK7: int > nat ).

tff(func_def_1087,type,
    sK8: ( int * int ) > nat ).

tff(func_def_1088,type,
    sK9: int > nat ).

tff(func_def_1089,type,
    sK10: int > nat ).

tff(func_def_1090,type,
    sK11: int > nat ).

tff(func_def_1091,type,
    sK12: ( int * int ) > nat ).

tff(func_def_1092,type,
    sK13: fun_int_bool > int ).

tff(func_def_1093,type,
    sK14: fun_int_bool > nat ).

tff(func_def_1094,type,
    sK15: fun_int_bool > nat ).

tff(func_def_1095,type,
    sK16: fun_int_bool > int ).

tff(func_def_1096,type,
    sK17: int > nat ).

tff(func_def_1097,type,
    sK18: int ).

tff(func_def_1098,type,
    sK19: int ).

tff(func_def_1099,type,
    sK20: fun_int_bool > int ).

tff(func_def_1100,type,
    sK21: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1101,type,
    sK22: ( fun_int_bool * int ) > int ).

tff(func_def_1102,type,
    sK23: ( fun_int_bool * int ) > int ).

tff(func_def_1103,type,
    sK24: fun_int_bool > int ).

tff(func_def_1104,type,
    sK25: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1105,type,
    sK26: ( fun_int_bool * int ) > int ).

tff(func_def_1106,type,
    sK27: ( fun_int_bool * int ) > int ).

tff(func_def_1107,type,
    sK28: ( fun_int_bool * int ) > int ).

tff(func_def_1108,type,
    sK29: ( fun_int_bool * int ) > int ).

tff(func_def_1109,type,
    sK30: fun_int_bool > int ).

tff(func_def_1110,type,
    sK31: ( fun_int_bool * int ) > int ).

tff(func_def_1111,type,
    sK32: ( fun_int_bool * int ) > int ).

tff(func_def_1112,type,
    sK33: ( fun_int_bool * int ) > int ).

tff(func_def_1113,type,
    sK34: fun_nat_bool > nat ).

tff(func_def_1114,type,
    sK35: nat > nat ).

tff(func_def_1115,type,
    sK36: fun_nat_bool > nat ).

tff(func_def_1116,type,
    sK37: nat > nat ).

tff(func_def_1117,type,
    sK38: fun_nat_bool > nat ).

tff(func_def_1118,type,
    sK39: ( nat * nat ) > nat ).

tff(func_def_1119,type,
    sK40: ( nat * nat ) > nat ).

tff(func_def_1120,type,
    sK41: nat > nat ).

tff(func_def_1121,type,
    sK42: nat > nat ).

tff(func_def_1122,type,
    sK43: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1123,type,
    sK44: nat > nat ).

tff(func_def_1124,type,
    sK45: ( nat * nat ) > nat ).

tff(func_def_1125,type,
    sK46: fun_nat_nat > nat ).

tff(func_def_1126,type,
    sK47: fun_nat_nat > nat ).

tff(func_def_1127,type,
    sK48: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1128,type,
    sK49: fun_nat_nat > nat ).

tff(func_def_1129,type,
    sK50: fun_nat_nat > nat ).

tff(func_def_1130,type,
    sK51: ( nat * nat ) > nat ).

tff(func_def_1131,type,
    sK52: fun_nat_real > nat ).

tff(func_def_1132,type,
    sK53: ( nat * nat ) > nat ).

tff(func_def_1133,type,
    sK54: ( nat * nat ) > nat ).

tff(func_def_1134,type,
    sK55: ( nat * nat ) > nat ).

tff(func_def_1135,type,
    sK56: fun_nat_nat > nat ).

tff(func_def_1136,type,
    sK57: fun_nat_nat > nat ).

tff(func_def_1137,type,
    sK58: ( nat * nat ) > nat ).

tff(func_def_1138,type,
    sK59: ( nat * nat ) > nat ).

tff(func_def_1139,type,
    sK60: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1140,type,
    sK61: int ).

tff(func_def_1141,type,
    sK62: ( nat * real ) > real ).

tff(func_def_1142,type,
    sK63: ( real * nat ) > real ).

tff(func_def_1143,type,
    sK64: ( real * nat ) > real ).

tff(func_def_1144,type,
    sK65: ( int * int ) > int ).

tff(func_def_1145,type,
    sK66: ( int * int * int ) > int ).

tff(func_def_1146,type,
    sK67: int > int ).

tff(func_def_1147,type,
    sK68: int > int ).

tff(pred_def_1,type,
    hBOOL: bool > $o ).

tff(pred_def_2,type,
    sP0: ( bool * int * bool ) > $o ).

tff(pred_def_3,type,
    sP1: ( int * bool * bool ) > $o ).

tff(pred_def_4,type,
    sP2: ( fun_int_bool * int ) > $o ).

tff(f39,axiom,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_semiring__one__add__one__is__two) ).

tff(f72,axiom,
    ! [X0: nat] :
      ( ( hAPP_nat_int(semiri1621563631at_int,X0) = zero_zero_int )
    <=> ( X0 = zero_zero_nat ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_int__eq__0__conv) ).

tff(f152,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_Pls__def) ).

tff(f348,axiom,
    ! [X0: nat,X1: int] :
      ( ( X1 != zero_zero_int )
     => ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),X0) != zero_zero_int ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_field__power__not__zero) ).

tff(f2993,axiom,
    ! [X0: nat] : ( zero_zero_nat != hAPP_nat_nat(suc,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2992_Zero__not__Suc) ).

tff(f3064,axiom,
    ! [X0: nat] : ( hAPP_nat_nat(suc,X0) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X0),one_one_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3063_Suc__eq__plus1) ).

tff(f3106,axiom,
    ! [X0: nat] : ( hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X0)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3105_int__Suc) ).

tff(f5421,conjecture,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f5422,negated_conjecture,
    ( ( ~ hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) ) != zero_zero_int ),
    inference(negated_conjecture,[status(cth)],[f5421]) ).

tff(f5423,plain,
    zero_zero_int = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(flattening,[],[f5422]) ).

tff(f5571,plain,
    ! [X0: nat,X1: int] :
      ( ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),X0) != zero_zero_int )
      | ( zero_zero_int = X1 ) ),
    inference(ennf_transformation,[],[f348]) ).

tff(f6314,plain,
    ! [X0: nat] :
      ( ( ( hAPP_nat_int(semiri1621563631at_int,X0) = zero_zero_int )
        | ( zero_zero_nat != X0 ) )
      & ( ( X0 = zero_zero_nat )
        | ( zero_zero_int != hAPP_nat_int(semiri1621563631at_int,X0) ) ) ),
    inference(nnf_transformation,[],[f72]) ).

tff(f6644,plain,
    zero_zero_int = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(cnf_transformation,[],[f5423]) ).

tff(f6823,plain,
    zero_zero_int = pls,
    inference(cnf_transformation,[],[f152]) ).

tff(f6856,plain,
    ! [X0: nat] : ( hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X0)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X0)) ),
    inference(cnf_transformation,[],[f3106]) ).

tff(f6921,plain,
    ! [X0: nat] :
      ( ( zero_zero_nat = X0 )
      | ( zero_zero_int != hAPP_nat_int(semiri1621563631at_int,X0) ) ),
    inference(cnf_transformation,[],[f6314]) ).

tff(f6992,plain,
    ! [X0: nat,X1: int] :
      ( ( zero_zero_int != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),X0) )
      | ( zero_zero_int = X1 ) ),
    inference(cnf_transformation,[],[f5571]) ).

tff(f7500,plain,
    ! [X0: nat] : ( zero_zero_nat != hAPP_nat_nat(suc,X0) ),
    inference(cnf_transformation,[],[f2993]) ).

tff(f7918,plain,
    ! [X0: nat] : ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X0),one_one_nat) = hAPP_nat_nat(suc,X0) ),
    inference(cnf_transformation,[],[f3064]) ).

tff(f7961,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),
    inference(cnf_transformation,[],[f39]) ).

tff(f8189,plain,
    pls = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(definition_unfolding,[],[f6644,f6823]) ).

tff(f8305,plain,
    ! [X0: nat] :
      ( ( pls != hAPP_nat_int(semiri1621563631at_int,X0) )
      | ( zero_zero_nat = X0 ) ),
    inference(definition_unfolding,[],[f6921,f6823]) ).

tff(f8330,plain,
    ! [X0: nat,X1: int] :
      ( ( pls != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),X0) )
      | ( pls = X1 ) ),
    inference(definition_unfolding,[],[f6992,f6823,f6823]) ).

tff(f8923,plain,
    pls = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),
    inference(forward_demodulation,[],[f8189,f7961]) ).

tff(f9026,plain,
    pls = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(suc,one_one_nat)),
    inference(forward_demodulation,[],[f8923,f7918]) ).

tff(f9068,plain,
    pls = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n))),hAPP_nat_nat(suc,one_one_nat)),
    inference(forward_demodulation,[],[f9026,f6856]) ).

tff(f9337,plain,
    ( ( pls != pls )
    | ( pls = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n)) ) ),
    inference(superposition,[],[f8330,f9068]) ).

tff(f9338,plain,
    pls = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n)),
    inference(trivial_inequality_removal,[],[f9337]) ).

tff(f9343,plain,
    ( ( pls != pls )
    | ( zero_zero_nat = hAPP_nat_nat(suc,n) ) ),
    inference(superposition,[],[f8305,f9338]) ).

tff(f9346,plain,
    zero_zero_nat = hAPP_nat_nat(suc,n),
    inference(trivial_inequality_removal,[],[f9343]) ).

tff(f9347,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9346,f7500]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NUM925_4 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31  % Computer : n012.cluster.edu
% 0.04/0.31  % Model    : x86_64 x86_64
% 0.04/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31  % Memory   : 8046.5625MB
% 0.04/0.31  % OS       : Linux 6.8.0-71-generic
% 0.04/0.31  % CPULimit : 300
% 0.04/0.31  % WCLimit  : 300
% 0.04/0.31  % DateTime : Sun Sep 27 21:42:44 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.04/0.32  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34  Running first-order theorem proving
% 0.07/0.34  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.14  % (2774598)Detected formulas, will run a generic FOF schedule.
% 3.23/1.14  % (2774604)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=2070243581:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.23/1.14  % (2774605)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=616858799:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.23/1.14  % (2774609)dis-21_1_sil=8000:lcm=predicate:random_seed=3109464067:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.23/1.14  % (2774607)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=493434495:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.23/1.14  % (2774608)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4125934260:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.23/1.14  % (2774603)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=1738665983:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.23/1.14  % (2774606)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=852382612:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.23/1.14  % (2774608)Instruction limit reached! 
% 3.23/1.14  % (2774608)------------------------------
% 3.23/1.14  % (2774608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774608)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774608)Termination reason: Instruction limit
% 3.23/1.14  % (2774608)Termination phase: SInE selection
% 3.23/1.14  % (2774608)Time elapsed: 0.033 s
% 3.23/1.14  % (2774608)Peak memory usage: 90 MB
% 3.23/1.14  % (2774608)Instructions burned: 141 (million)
% 3.23/1.14  % (2774606)Instruction limit reached! 
% 3.23/1.14  % (2774606)------------------------------
% 3.23/1.14  % (2774606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774606)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774606)Termination reason: Instruction limit
% 3.23/1.14  % (2774606)Termination phase: Saturation
% 3.23/1.14  % (2774606)Time elapsed: 0.034 s
% 3.23/1.14  % (2774606)Peak memory usage: 94 MB
% 3.23/1.14  % (2774606)Instructions burned: 109 (million)
% 3.23/1.14  % (2774607)Instruction limit reached! 
% 3.23/1.14  % (2774607)------------------------------
% 3.23/1.14  % (2774607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774607)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774607)Termination reason: Instruction limit
% 3.23/1.14  % (2774607)Termination phase: Function definition elimination
% 3.23/1.14  % (2774607)Time elapsed: 0.035 s
% 3.23/1.14  % (2774607)Peak memory usage: 92 MB
% 3.23/1.14  % (2774607)Instructions burned: 119 (million)
% 3.23/1.14  % (2774609)Instruction limit reached! 
% 3.23/1.14  % (2774609)------------------------------
% 3.23/1.14  % (2774609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774609)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774609)Termination reason: Instruction limit
% 3.23/1.14  % (2774609)Termination phase: Preprocessing 3
% 3.23/1.14  % (2774609)Time elapsed: 0.044 s
% 3.23/1.14  % (2774609)Peak memory usage: 93 MB
% 3.23/1.14  % (2774609)Instructions burned: 131 (million)
% 3.23/1.14  % (2774619)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1179529635:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.23/1.14  % (2774618)lrs+10_1_sil=32000:urr=on:br=off:random_seed=616264139:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.23/1.14  % (2774617)lrs+10_1_sil=8000:sp=occurrence:random_seed=1426341461:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.23/1.14  % (2774620)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=2757394733:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.23/1.14  % (2774618)Instruction limit reached! 
% 3.23/1.14  % (2774618)------------------------------
% 3.23/1.14  % (2774618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774618)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774618)Termination reason: Instruction limit
% 3.23/1.14  % (2774618)Termination phase: Property scanning
% 3.23/1.14  % (2774618)Time elapsed: 0.039 s
% 3.23/1.14  % (2774618)Peak memory usage: 91 MB
% 3.23/1.14  % (2774618)Instructions burned: 161 (million)
% 3.23/1.14  % (2774617)First to succeed.
% 3.23/1.14  % (2774617)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2774598"
% 3.23/1.14  % (2774620)Instruction limit reached! 
% 3.23/1.14  % (2774620)------------------------------
% 3.23/1.14  % (2774620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774620)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774620)Termination reason: Instruction limit
% 3.23/1.14  % (2774620)Termination phase: Preprocessing 3
% 3.23/1.14  % (2774620)Time elapsed: 0.067 s
% 3.23/1.14  % (2774620)Peak memory usage: 93 MB
% 3.23/1.14  % (2774620)Instructions burned: 249 (million)
% 3.23/1.14  % (2774619)Instruction limit reached! 
% 3.23/1.14  % (2774619)------------------------------
% 3.23/1.14  % (2774619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774619)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774619)Termination reason: Instruction limit
% 3.23/1.14  % (2774619)Termination phase: Saturation
% 3.23/1.14  % (2774619)Time elapsed: 0.112 s
% 3.23/1.14  % (2774619)Peak memory usage: 97 MB
% 3.23/1.14  % (2774619)Instructions burned: 327 (million)
% 3.23/1.14  % (2774625)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=302085907:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.23/1.14  % (2774626)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1349670198:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.23/1.14  % (2774627)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3646774697:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 3.23/1.14  % (2774625)Instruction limit reached! 
% 3.23/1.14  % (2774625)------------------------------
% 3.23/1.14  % (2774625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.14  % (2774625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.14  % (2774625)CaDiCaL version: 2.1.3
% 3.23/1.14  % (2774625)Termination reason: Instruction limit
% 3.23/1.14  % (2774625)Termination phase: Saturation
% 3.23/1.14  % (2774625)Time elapsed: 0.083 s
% 3.23/1.14  % (2774625)Peak memory usage: 96 MB
% 3.23/1.14  % (2774625)Instructions burned: 294 (million)
% 3.23/1.14  % (2774617)Refutation found. Thanks to Tanya!
% 3.23/1.14  % SZS status Theorem for theBenchmark
% 3.23/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.24  % (2774617)------------------------------
% 3.60/1.24  % (2774617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.24  % (2774617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.24  % (2774617)CaDiCaL version: 2.1.3
% 3.60/1.24  % (2774617)Termination reason: Refutation
% 3.60/1.24  % (2774617)Time elapsed: 0.063 s
% 3.60/1.24  % (2774617)Peak memory usage: 96 MB
% 3.60/1.24  % (2774617)Instructions burned: 209 (million)
% 3.60/1.24  % (2774617)------------------------------
% 3.60/1.24  % (2774617)------------------------------
% 3.60/1.24  % (2774598)Success in time 0.608 s
% 3.60/1.24  % Vampire exiting
%------------------------------------------------------------------------------